10.8 m = 10*(8/10)=54/5 m
1.5 h = 3/2 h
distance = 54/5
time = 3/2 h
Speed = distance /time
= 54/5 ÷ 3/2 = 7.2 m/h
how far will the snail travel in 5 minute ?
5 min = 5/60 = 1/12 h
In 1/12 h the snail will travel
7.2 * 1/12 m = 0.6 m = 60 cms
Explain why the value of 0.6 is greater than the value of 0.39.
A 0.39 is greater than 0.6 because 9 hundredths is greater than 6 tenths.
B 0.39 is less than 0.6 because 3 tenths is less than 6 tenths.
C 0.6 is greater than 0.39 because 6 tenths is greater than 9 hundredths.
D 0.6 is less than 0.39 because 6 tenths is less than 9 hundredths.
The value of 0.6 is greater than the value of 0.39 because; C 0.6 is greater than 0.39 because 6 tenths is greater than 9 hundredths.
How to evaluate decimal number digits?When we are talking about decimals, the left hand side before the decimal are referred to as whole numbers while the first digit after the decimal represents the tenths place, the next digit after the tenths place represents the hundredths place, the next digit after the hundredths place represents the thousandths place and so on.
Now, we are given two decimals 0.6 and 0.39.
We see clearly that 0.6 has a greater tenths digit than the hundredths digit in 0.39. This is seen as;
0.6 = 6/10 while 0.39 = 39/100
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Whats the answer to my equations.
The equation for the linear function is y=3x -5.
Linear FunctionA linear function can be represented by a linear equation. The standard form for the linear equation is: y= mx+b , for example, y=10x+6.
The standard for the linear equation( y= mx+b), also it is known as the Slope-Intercept Form.
Where:
m= the slope.
b= the constant term that represents the y-intercept.
For the given example: m=10 and b=6.
The question gives some points of the linear function, see below.
x y
1 -2
2 1
3 4
4 7
From the given data you can find the slope by solving the system linear equation.
For example, you can write a system linear equation from the points: (1,-2) and (4,7).
-2=m+b (1)
7=4m+b (2)
Multiplying equation 1 by -1, you have
2= -m -b (1)
7= 4m+b (2)
Summing the previous equation, you can find the slope (m):
9=3m
m= 9/3
m= 3
If m=3, from equation 2, you can find the coefficient b.
7 = 4m + b
7 = 4*3 +b
7=12 + b
b= 7-12
b= -5
Thus, the standard form for the linear equation represented by the given table is y=3x -5.
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PLEASE HELP ME, WILL MARK BRAINLIEST
Tessa needs to find a courier to deliver a package. The first courier charges a fee of $15 plus $1 per pound. The second charges $13 plus $2 per pound. Tessa determines that, given her package's weight, the two courier services are equivalent in terms of cost. Write a system of equations and solve. How much does her package weigh and how much is delivery going to cost?
The system of equations are:
15 + x = y
13 + 2x = y
The weight of the package is 2 pounds.
The delivery cost for both services is 17$.
How to Solve a System of Equations?Here is a system of equations you can use to represent the cost of the two courier services:
First courier: 15 + x = y
Second courier: 13 + 2x = y
Where x is the weight of the package in pounds and y is the total cost of delivery.
We know that the two courier services are equivalent in terms of cost, so we can set the two equations equal to each other:
15 + x = 13 + 2x
then we can subtract 15 from both sides
x = 13 + 2x -15
x = -2 + 2x
then we can subtract x from both sides
-x = -2
then we can divide both sides by -1
x = 2
The package weighs 2 pounds, and the delivery cost for both services is 15 + 2 = 17$.
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Pleasee Help !!!!
Given: ∆KLM, KL = LM m∠K = 17°, R = 1. 08 Find: KM
triangle is inside a circle with a midpoint O
From the triangle KLM inside the circle, the value of KM is calculated. And, the value is 1.2079.
A triangle is a polygon made up of three vertices, three angles, and three sides. First, draw a circle with a midpoint represented by O. Then, draw a triangle KLM inside a circle. Now, construct the line segments KO, MO, and LO because they form the circle's radius.
Given that KL = LM. Since two sides of the triangle KLM is equal, it is an isosceles triangle. Also, ∠K=∠M=17°. The total angle of this triangle is 180°. Then, ∠L=180°-17°-17°=146°.
Half the angle L is 73°. Then, ∠KLO=∠MLO=73°.
Consider triangle KLO, this triangle is also isosceles because KO = LO. Then, ∠KLO=∠OKL=73°.
Now, ∠KOL is calculated as follows from the triangle KLO,
[tex]\begin{aligned}\angle KOL&=180^{\circ}-73^{\circ}-73^{\circ}\\&=34^{\circ}\end{aligned}[/tex]
Similarly, consider triangle MLO, this triangle is also isosceles because LO=MO. Then, ∠MLO=∠OML=73°.
Now, ∠LOM is calculated as follows from the triangle MLO,
[tex]\begin{aligned}\angle LOM&=180^{\circ}-73^{\circ}-73^{\circ}\\&=34^{\circ}\end{aligned}[/tex]
Then,
[tex]\begin{aligned}\angle KOM&=\angle KOL+\angle LOM\\&=34^{\circ}+34^{\circ}\\&=68^{\circ}\end{aligned}[/tex]
Using, the cosine law of the triangle KOM, we get,
[tex]\begin{aligned}(KM)^2&=1.08^2+1.08^2-2(1.08)(1.08)\cos 68^{\circ}\\&=2.3328-2.3328(\cos 68^{\circ})\\&=2.3328(1-\cos 68^{\circ})\\&=2.3328(0.6254)\\&=1.4589\\KM&=\sqrt{1.4589}\\&=1.2079\end{aligned}[/tex]
Therefore, the required answer is 1.2079.
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when
�
=
1
p=1p, equals, 1 and
�
=
7
q=7q, equals, 7
The resultant answer of the given equation 7 – 5p + 3q is 23.
What are equations?A math formula is a formula that uses the equal sign to represent the equivalence of two expressions.
The meanings of the word equation and its cognates in various languages can vary slightly.
For instance, in French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
by inserting the provided values, we must determine the value of the given equation.
The result is obtained by changing the values of p and q in the above equation.
Thus, if p = 1 and q = 7.
So, we get the equation: 7 – 5p + 3q
Calculate as follows:
7 – 5(1) + 3(7)
7 – 5 + 21
28 – 5
23
Therefore, the resultant answer of the given equation 7 – 5p + 3q is 23.
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Correct question:
Evaluate 7-5{p}+3q7−5p+3q7, minus, 5, p, plus, 3, q when p=1p=1p, equals, 1 and q=7q=7q, equal, 7.
Find the annual interest rate I= 20$ P=1000 t= 4 months
keeping in mind that since a year is 12 months, then 4 months is really 4/12 of a year, so
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 20\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{4}{12}\dotfill &\frac{1}{3} \end{cases} \\\\\\ 20 = (1000)(\frac{r}{100})(\frac{1}{3})\implies 20=\cfrac{1000r}{300} \implies 6000=1000r \\\\\\ \cfrac{6000}{1000}=r\implies \stackrel{\%}{6}=r[/tex]
if the earth's spin axis were perpendicular to the earth's orbital plane (the ecliptic plane), then the seasons and seasonal variation would be
The correct answer is Non-existent. If the Earth's spin axis were perpendicular to the Earth's orbital plane, the seasons and seasonal variation would be greatly reduced or eliminated.
This is because the tilt of the Earth's axis (currently at 23.5 degrees) causes the change in the amount of sunlight received at different latitudes during the year, leading to the seasons we experience.
After all, it causes our seasons in the first place. If the Earth's axis were vertical to its orbital airplane, there would be no seasons. Still, there would be minor variations in temperatures and rush throughout each time as Earth moves slightly closer and further down from the sun If the earth and ringed in an upright position around the sun.
If the Earth's spin axis were perpendicular to the ecliptic plane, the Northern and Southern hemispheres would receive roughly the same amount of sunlight throughout the year, and there would be little temperature variation, thus leading to little or no seasonal changes.
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The right response is Nonexistent. Seasons and seasonal fluctuation would be significantly diminished or completely gone if the Earth's spin axis were parallel to its orbital plane.
This is so that the seasons we experience may be attributed to the tilt of the Earth's axis, which is now 23.5 degrees, which affects the quantity of sunlight received at various latitudes throughout the year.
After all, it is the primary cause of our seasons. Seasons wouldn't exist if the Earth's axis were vertical to its orbital plane. If the earth were circled in an upright position around the sun, there would still be modest fluctuations in temperature and rush throughout each period as Earth travels a little closer to and further away from the sun.
The Northern and Southern hemispheres would get nearly the same amount of sunshine throughout the year, and there would be no temperature difference, which would result in little to no seasonal variations if the Earth's spin axis were perpendicular to the ecliptic plane.
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A farmer's conveyor belt carries bales of hay from the ground to the barn loft. The conveyor belt moves at 100 ft/min.
Q1:How many Second does it take for a bale of hay to go from the ground to the barn loft?
Q2:Which part of a right triangle does the conveyor belt represent?
Q3:You know the speed. What other information do you need to find time?
Q4:How are minutes and seconds related?
Answer for the conveyer belt moves at 100ft/min from bales of hay to barn loft is given by :
1. Seconds taken by conveyer belt is 60 seconds.
2. Hypotenuse represents the conveyer belt in right triangle.
3. Distance is other information to calculate time.
4. 1 minute = 60 seconds.
Rate at which conveyer belts moves = 100ft/min
⇒1 minute = 100ft
⇒60seconds = 100 ft
1. Seconds taken by bale of hay to move from ground to barn loft is 60 seconds.
2. Conveyer felt represent the hypotenuse of the right triangle.
Feet represents the height , and minutes (time) represents the base.
3. Speed is given to us , to calculate time we should have distance.
4. Relation between minutes and seconds is given by:
1 minute = 60 seconds.
Therefore, for the given conveyer belt moves with 100ft/min answer of the following question are:
1. Seconds taken by moving bale of hay to barn loft is 60 seconds.
2. Conveyer belt represent hypotenuse.
3. To calculate time we need distance apart from speed.
4. One minute is equal to sixty seconds.
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accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. in foggy, rainy, and sunny conditions, 1/6, 1/9, and 1/23 of the accidents result in death, respectively. sunny conditions occur 58% of the time, while rainy and foggy conditions each occur 21% of the time. given that an accident without deaths occurred, what is the conditional probability that it was foggy at the time? round your answer to three decimal places (e.g. 0.987). p
The probability that a death will result from an accident is 0.105, or 10.5%.
Given:
In foggy conditions, 25% of accidents result in fatalities.
Rain-related accidents result in fatalities in 12.5% of cases.
In sunny weather, 5% of accidents result in fatalities.
To find : The probability that a death will result from an accidents
The likelihood that a death will ensue from an accident
5% of 60%(sunny) (sunny)
25% of 20%(foggy) (foggy)
12.5% of 20%(rainy) (rainy)
Probability = 0.05 x 0.6 x 0.25 x 0.125 x 0.22
Chance is 0.105
Chance is 10.5%.
There is a 10.5% chance that a fatal accident may occur.
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if johnny has 23 candy and casey have only 3 candy how many times of 3 candy do we need to add more to 23 and try it
We would need to add 8 more sets of 3 candies to 23 candies in order to have the same amount as Casey.
To find this, we can divide the total amount of candy Johnny has (23) by the amount of candy Casey has (3) and round up to the nearest whole number:
(23) / (3) = 7.666...
Since we can't have a fraction of a set of candies, we must round up to the nearest whole number, which is 8.
So, to have the same amount of candy as Casey, we would need to add 8 more sets of 3 candies to Johnny's 23 candies.
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A geometric sequence begins with 72, 36, 18, 9,
Which option below represents the formula for the sequence?
Of(n) = 72(2)-1
Of(n) = 72(2)+1
Of(n) = 72(0.5)-1
Of(n) = 72(0.5)+1
A geometric sequence begins with 72, 36, 18, 9, is Of(n) is 72(2)+1.
How should a geometric sequence be calculated?The ratio of any term to the term before it is constant in a geometric series. When r is used as the common ratio, the explicit formula for a geometric sequence is of the form a = a1r-1.Due to the shared ratio between each term, this sequence is geometric. The subsequent term is obtained in this instance by multiplying the previous term in the sequence by 12.The a1=72 a 1 = 72 and r=23 r = 2 3 should be substituted into the sequence.A geometric sequence begins with 72, 36, 18, 9, is Of(n) is 72(2)+1.To learn more about geometric sequence refer to:
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Answer:
f(n) = 72(0.5)n−1
Step-by-step explanation:
Got right.
Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the statement that could be true for g.
The only option that is true for the function g is; Option D: g(3) = 18
How to interpret the domain and range of a function?The function, g, has;
Domain; -1 ≤ x ≤ 4
Range: 0 ≤ g(x) ≤ 18
g(-1) = 2 and g(2) = 8
Then the following properties must hold to be true;
The value(s) of x must be between -1 and 4
The values of g(x) must be between 0 and 18.
We consider the options and state why they are true or otherwise.
Option A: g(5) = 12
When x = 5, g(5) = 12. This contradicts property 1 stated above and as such it is not true.
Option B: g(1) = -2
When x = 1, g(x) = -2. This contradicts property 2 stated above and as such, it is not true.
Option C: g(2) = 4
When x = 2, g(2) = 4. However by property 4 stated above, g(2)=9. Therefore, we can say that it is not true.
Option D: g(3) = 18
When x =3 means that its domain lies between -1 and 4 and its range lies between 0 and 18.
Therefore, Option D is true.
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The missing options are;
A) g(5)=12
B) g(1) = -2
C) g(2) = 4
D) g(3) = 18
Mason asked 280 7th and 8th graders in his school about the number of clubs they belong to. Here is some of the information he found.
150 of the respondents were 8th graders.
Twice as many 7th graders belonged to one club as no clubs.
10 fewer 7th graders belonged to more than one club than no clubs.
Twice as many 8th graders belonged to one club as more than one club.
56 respondents did not belong to any clubs.
Create a two-way frequency table to show the number of 7th and 8th graders that belong to zero, one, or more than one club.
The frequency table has been created in the attachment
The frequency tableGiven that 56 respondents did not belong to any clubs, we know that the number of 7th graders who belong to zero clubs is 56.
Given that twice as many 7th graders belonged to one club as no clubs, we can set up the equation:
x = 2 * 56
Given that 10 fewer 7th graders belonged to more than one club than no clubs, we can set up the equation:
y = 56 - 10
Given that twice as many 8th graders belonged to one club as more than one club, we can set up the equation:
z = 2*w
Now we have the following system of equations:
x = 2 * 56
y = 56 - 10
z = 2*w
x+z = 150
y+w = 150
By solving the above system of equations we get:
x = 112
y = 46
z = 112
w = 56
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3. The graph of a polynomial function f is shown. Select all the true statements about
the polynomial.
-4 -3 +2
YA
12
9
6
3
1
2 B
-6
-9
-12
-15
A. The degree of the polynomial is even.
B. The degree of the polynomial is odd.
C. The leading coefficient is positive.
D. The leading coefficient is negative.
E. The constant term of the polynomial is positive.
F. The constant term of the polynomial is negative.
4
After inspecting the graph, when x=0 y is 6 so the constant is +6 which is Positive
What is polynomial function ?
A polynomial characteristic is a function that includes handiest non-bad integer powers or simplest tremendous integer exponents of a variable in an equation like the quadratic equation, cubic equation, and so forth. for example, 2x+5 is a polynomial that has exponent same to one.
Given ,
The graph is a polynomial function.
This is an odd degree polynomial since end behavior is +infinitely when x is positive and -infinity when x is negative
For an even degree polynomial en behavior will be positive regardless of the sign as a negative number raised to an even power is always positive
The leading coefficient is positive other wise the function would be flipped around the x axis
Inspect the graph. when x=0 y is 6 so the constant is +6 which is Positive
Hence , After inspecting the graph, when x=0 y is 6 so the constant is +6 which is Positive
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You use a juice mix to make orange juice.
You combine 12 ounces of the mix with 36 ounces of water.
What is a unit rate that describes your juice?
Answer: 12/48 = 25%
Step-by-step explanation: If the unit rate that characterizes my juice reflects its concentration, then there are 36 + 12 = 48 ounces of matter in total. The orange juice mix that we add is 12 ounces of mix, therefore the concentration is 12/48 = 25%.
5x+y =9
10x - 7y = -18
Find X and Y.
Answer:
x=1, y=4
Step-by-step explanation:
5x+y=9
10x-7y=-18
(Multiply top equation by -2)
-10x-2y=-18
10x-7y=-18
(Add)
-9y=-36
(Divide -36 by -9)
y=4
(Substitute y(4) into the top equation)
5x+4=9
(Subtract 4)
5x=5
(Divide 5)
x=1
Answer: x=1 , y=4
Step-by-step explanation:
5x+y =9 y=9-5x
10x - 7y = -18
10x-7(9-5x)=-18 y=9-5x
10x-63+35x=-18 y=9-5(1)
45x-63=-18 y=4
45x=-18+63
45x=45
x=1
PLSSS HELP IF YOU TURLY KNOW THISSS
Answer: x=10
Step-by-step explanation:
x is an unknown number trying to figure out what number equals 20? You subtract 10 from 20 to figure out x.
Please answer im giving 25 points
The equation of the line in slope intercept form is y = -2.65x + 25.
The x-intercept means when the gift card has a balance of zero dollars.
How to represent equation in slope intercept form?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore. let's find the slope of the line using (2, 19.7) and (4, 14.4).
Hence,
m = slope = 14.4 - 19.7 / 4 - 2
m = - 5.3 / 2
m = - 2.65
Therefore, let's find the y-intercept using (2, 19.7).
y = -2.65x + b
19.7 = -2.65(2) + b
b = 19.7 + 5.3
b = 25
Therefore, the equation of the line is y = -2.65x + 25.
The x-intercept is the value of x when y = 0.
Hence,
0 = -2.65x + 25
-25 = -2.65x
x = -25 / -2.65
x = 9.4
The x-intercept means the gift card has zero balance. At this point the medium cup of coffee is 9.4 .
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Broderick has $420 in his checking account. He made 6 deposits of 35. 50 each. He needs to write 6 checks for 310. 75 each
Broderick needs $610.00 in his account to cover his checks.
We know that the balance Boderick has is $420.
First, we will calculate the total amount of the 6 deposits made by Broderick each of $35.50 deposit as follows -
$35.50 x 6 = $213.00
Hence, the total amount of the 6 deposits made by Broderick is $213.00
Next, we will calculate the total amount of the 4 checks he needs to write-
$310.75 x 4 = $1243.00
Hence, the total amount of the 4 checks that Broderick needs to write is $1243.00
Now we will find the final balance of Broderick's account after all the deposits and check withdrawals. We can do this by adding the total amount of the deposits to his initial balance and subtracting the total amount of the checks as follows-
$420.00 + $213.00 - $1243.00 = -$610.00
Thus, Broderick needs $610.00 in his account to cover his checks.
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The complete question is -
Broderick had $420 in his checking account. He made 6 deposits of $35.50 each. He needs to write 4 checks for $310.75 each. How much money does Boderick need to add to his account to cover his checks? Show your work.
Joy can choose to ride the bus,subway,or take a taxi on monday and tuesday which list show the possible outcomes of day one method of travel
A list that shows the possible outcomes of one day one method of travel:
Monday, bus,
Monday, subway,
Monday, taxi,
Tuesday, bus,
Tuesday, subway,
Tuesday, taxi
The correct answer is an option (B)
Let A represents the set of days.
A = {Monday, Tuesday}
And set B represents the method of transportaion/travel.
B = {bus, subway, taxi }
To find the list of possible outcomes of one day one method of travel we find the product of set A and set B.
We know that for non-empty sets A and B the Cartesian Product is given by AxB = {(a,b) | a ∈ A and b ∈ B}.
It is a set of all ordered pairs (a, b)
For above sets A and B,
A × B = {(Monday, bus), (Monday, subway), (Monday, taxi), (Tuesday, bus), (Tuesday, subway), (Tuesday, taxi)}
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Find the complete question below.
ANAGNOS: Possible. I should warn you, she is much given to tantrums.
ANNIE: Means something is inside. Well, so am I, if I believe all I hear. Maybe you should warn them.
ANAGNOS [FROWNS]: Annie. I wrote them no word of your history. You will find yourself among strangers now, who know nothing of it.
ANNIE: Well, we’ll keep them in a state of blessed ignorance.
Which statement best describes Annie’s attitude toward her upcoming assignment in this excerpt?
The statement that best describes Annie’s attitude toward her upcoming assignment in this excerpt is "she is studious and eager to share her knowledge"
What is the main message of Annie?Annie is all about maintaining optimism and hope throughout life's journey, no matter the circumstances.
The young orphan Annie has led a difficult life in the cruel matriarch Miss Agatha Hannigan's anything-but-cheerful orphanage. With a shattered necklace, she stealthily leaves her orphanage and goes in search of her parents, who she hopes would adopt her.
She may be the offspring of a Marleyan and an Eldian liaison, and her parents abandoned her when she was a baby. But after being transported to the Internment Zone, a guy took her up and started to train her as a warrior so that he could live better in Marley.
Therefore, Annie is studious and eager to share her knowledge.
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(Simple)......Classify the transformation pls
The transformation represented by the figure is (c) translation
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
The figure
On the figure, we have the following
A figure and its translated image
When a shape is translated to form another, then the transformation is a translation
Hence, the transformation is translation
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Samuel buys 3 bottles of juice that each have an original price of 2.80. He uses a coupon for 35% off. Then, he is changed sales tax at a rate of 6.5%. How much does samuel pay 3 bottles of juice?
Samuel pay 5.81 for the 3 bottles of juice.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Samuel buys 3 bottles of juice that each have an original price of 2.80.
And, He uses a coupon for 35% off. Then, he is changed sales tax at a rate of 6.5%.
Here, The original cost of 3 bottles of juice = 3 × 2.80
= 8.40
Now, He uses a coupon for 35% off.
Hence, The off price = 35% of 8.40
= 35/100 × 8.40
= 2.94
So, The amount of 3 bottles of juice = 8.40 - 2.94
= 5.46
And, He is changed sales tax at a rate of 6.5%.
Thus, The sales tax on bottles = 6.5% of 5.46
= 6.5/100 × 5.46
= 0.35
Thus, The actual amount of 3 bottles of juice = 5.46 + 0.35
= 5.81
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1/2+1/3w=1/6
Please help it’s urgent
Answer:
See below
Step-by-step explanation:
1/2 + 1/3 w = 1/6 subtract 1/2 from both sides of the equation
1/3 w = - 2/6 multiply both sides by 3
w = -1
through: (3,0), parallel to y=2/3x+1
The linear equation parallel to y=(2/3)x+1 that passes through (3, 0) is:
y = (2/3)*x - 2
How to find the linear equation?A general linear equation can be written in the slope-intercept form as:
y = m*x + b
Where m is the slope and b is the y-intercept.
Particularly, two linear equations are parallel only if both equations have the same slope and different y-intercepts.
Then a line parallel to:
y = (2/3)*x + 1
Is of the form:
y = (2/3)*x + b
And we want this line to pass through the point (3, 0), replacing these values we will get:
0 = (2/3)*3 + b
0 = 2 + b
-2 = b
Then the linear equation is:
y = (2/3)*x - 2
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question 7 suppose all household incomes in california increase by 5%. how does that change the standard deviation of the household incomes?
The standard deviation of the household income will be increased by $5,000.
The standard deviation is a measure of variation from the mean that takes spread, dispersion, and spread into account. The standard deviation reveals a "typical" divergence from the mean. It is a popular measure of variability since it retains the original units of measurement from the data set.
standard deviation is increased by 5x/100 = 0.05x
Change in standard deviation = $5000
There is little variety when data points are near to the mean, and there is a lot of variation when they are far from the mean. How much the data differ from the mean is determined by the standard deviation. Standard deviation, which is based on all data, is the most often used metric for measuring dispersion. As a result, the standard deviation's value can be affected by even a slight change in one number.
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5. Ken will flip a fair coin and then randomly choose one of three colored cards. The
possible outcomes are shown below.
Heads
Red
Blue
Green
Red
Blue
Green
What is the probability that tails will turn up and that he will choose a red card?
Tails
The probability that tails will turn up and that he will choose a red card is 1/6.
How to calculate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.
The probability of choosing a tail is 0.5.
The probability of choosing ref card is 1/3.
Therefore, the probability will be:
= 1/2 × 1/3
= 1/6
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a personnel director for a corporation has hired ten new engineers. if three (distinctly different) positions are open at a cleveland plant, in how many ways can she fill the positions?
There are 720 ways that personnel director for a corporation fills the positions
What is permutation?It is the ordered arrangement of members belonging to a set with no repeats.
To solve this problem the formula and the permutation procedure we must use is:
nPr = n! / (n-r)!
Where:
nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the numberInformation about the problem:
n = 10r = 3Applying the permutation formula we have:
nPr = n! / (n-r)!
10P3 = 10! / (10-3)!
10P3 = 10! / 7!
10P3 = 10*9*8*7! / 7!
10P3 = 10*9*8
10P3= 720
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how to determine if a function is even or odd algebraically
You can "find algebraically" if a function is even, odd, or neither by taking it, substituting -x for x, simplifying it, and then comparing the results to what you had initially.
The function is even if it is exactly the same as what you started with (that is, if f(-x) = f (x), with all the signs remaining the same. The function is odd if it is exactly the opposite of what you started with (that is, if f(-x) = -f(x), with all the signs switched.
The function is neither even nor odd if the outcome is neither exactly the same nor exactly the opposite (that is, neither having all the same words but with all the signs reversed).
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Please help me w this!!!
Answer:
Step-by-step explanation:
X =90