Answer:
She will ride 13 miles in one hour
Step-by-step explanation:
(8 2/3) / (2/3) = x / 1....8 2/3 miles to 2/3 hr = x miles to 1 hr
cross multiply
(2/3)(x) = (8 2/3)(1)
2/3x = 26/3
x = 26/3 * 3/2
x = 26/2...which equals 13....she will ride 13 miles in 1 hr
A catering company provides packages for weddings and for showers. The cost per person for small groups
is approximately Normally distributed for both weddings and showers. The mean cost for weddings is $82.30
with a standard deviation of $18.20, while the mean cost for showers is $65 with a standard deviation of
$17.73. If 9 weddings and 6 showers are randomly selected, what is the probability the mean cost of the
weddings is more than the mean cost of the showers?
O 0.0022
O 0.0335
O 0.9665
O 0.9978
Using the normal distribution and the central limit theorem, it is found that the probability the mean cost of the weddings is more than the mean cost of the showers is of 0.9665.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].When two variables are subtracted, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances.What is the mean and the standard error of the distribution of differences?For each sample, they are given by:
[tex]\mu_W = 82.3, s_W = \frac{18.2}{\sqrt{9}} = 6.0667[/tex]
[tex]\mu_S = 65, s_S = \frac{17.73}{\sqrt{6}} = 7.2382[/tex]
For the distribution of differences, we have that:
[tex]\mu = \mu_W - \mu_S = 82.3 - 65 = 17.3[/tex]
[tex]s = \sqrt{s_W^2 + s_S^2} = \sqrt{6.0667^2 + 7.2382^2} = 9.4444[/tex]
The probability the mean cost of the weddings is more than the mean cost of the showers is P(X > 0), that is, one subtracted by the p-value of Z when X = 0, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0 - 17.3}{9.4444}[/tex]
[tex]Z = -1.83[/tex]
[tex]Z = -1.83[/tex] has a p-value of 0.0335.
1 - 0.0335 = 0.9665.
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QUESTION
[tex]5 \frac{2}{6} \times 6 \frac{70}{30} \div {400}^{2} = ...[/tex]
PLEASE.....
Answer:
[tex]\frac{1}{3600}[/tex]
Step-by-step explanation:
400^2 = 160,000
5 2/6 = 32/6 = 16/3
6 70/30 = 250/30 = 25/3
16/3 * 25/3 = 400/9
400/9 / 160,000 = 1/3600
How much sales tax would you pay on a bike that costs $225 and sales tax is 5.3%?
The circumference of the Earth model at the Globe Arena is 56.52 centimeters. What is
the volume of the Earth model?
A. 9156.24 cubic cm
B. 339.12 cubic cm
C. 3052.08 cubic cm
D. 1017.36 cubic cm
Answer:
3052 cm^3 (Answer C)
Step-by-step explanation:
The formula for the circumference of a circle of radius r is C = 2(pi)(r). We know that C = 56.52 cm and want to find the model's radius:
C 56.52 cm
Solving for r, we get ---------- so that in this case r = ------------------ or
2(pi) 6.28
r = 9 cm.
The formula for the volume of a sphere of radius r is V = (4/3)(pi)(r^3), which here comes out to:
V = (4/3)(3.14)(9 cm)^3 = 3052 cm^3 (Answer C)
Please help I don’t understand these problems
Answer:
5x +9 is the least common denominator
Step-by-step explanation:
PLEASE HELP PLEASE HELP PLEASE HELP IM BEGGING PLEASE HELP PLEASE HELP!!!
Answer:
a) 390
b) 239
c) 151
Step-by-step explanation:
a) 30 + 15 + 45 + 300 = 390
b) 160 + 30 + 9 + 40 = 239
c) 390 (income) - 249 (expenses) = 151 pounds (profit)
What is the product? startfraction 4 n over 4 n minus 4 endfraction times startfraction n minus 1 over n 1 endfraction startfraction 4 n over n 1 endfraction startfraction n over n 1 endfraction startfraction 1 over n 1 endfraction startfraction 4 over n 1 endfraction
The product of the two terms [tex]\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}[/tex] is [tex]\dfrac{n}{(n+1)}[/tex].
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.
The product of the two fractions can be written as,
[tex]\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}[/tex]
Taking 4 as the common term from both numerator and denominator of the first fraction, therefore,
[tex]\dfrac{4n}{4(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\=\dfrac{n}{(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\[/tex]
Now, cancelling the common factor from the numerator and the denominator, we will get,
[tex]=\dfrac{n}{(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\\\=\dfrac{n}{(n+1)}[/tex]
Hence, the product of the two terms [tex]\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}[/tex] is [tex]\dfrac{n}{(n+1)}[/tex].
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Rewrite each algebraic expression with as few terms as possible using the Commutative and Associative Properties. (2x - 2y) + (5x + 7y)
Answer:
probably 7x + 5y
Step-by-step explanation:
Answer: 7x + 5y
Step-by-step explanation: You combine the like terms so you would add 2x and 5x to get 7x-2+7y. Then you combine the other like terms so subtract -2y and 7y (You are subtracting because a negative and a positive is a negative).
I hope this helps :)
Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80.
A table titled Apples showing Pounds, Cost per Pound and Total. The first row shows Fuji and has 30 minus g, 3, and x. The second row shows Golden Delicious, and has g, 2, and blank. The third row shows Total, and has 30, blank, 80.
Which value could replace x in the table?
30 – g + g
3(30 – g)
30 – g(3)
Answer:
the answer is $16
Step-by-step explanation:
Answer:
here u go the answer is $16
Step-by-step explanation:
hey everyone can you help me sort out this problem, answer is 10°
Answer:
So here we have 3 adjacent angles, and add them all up they would equal a right angle as shown in the diagram.
POT is the right angle which can be seen by the square
POQ is the first angle
QOS is the second
SOT is the third
Now solve it.
We know that it has to be equal to 90 since thats the final reasoning.
4a + 20 + 3a - 10 + a = 90
Solve.
So you’d get 10.
If you want to elaborate then just say all adjacent angles has to add put o 90 since
O GRAPHS, FUNCTIONS, AND SEQUENCES
Finding slope given two points on the line
Find the slope of the line passing through the points (5, -8) and (4, -1).
O
the radius of a circle is 7cm. Find the circumference of the circle. Use 22/7 for pi
Answer:
Hi I'm learning the same thing and I just got it I think it's C=43.98cm
Factorisation of 3p^3 + 9p^2- 15pq
Answer:
STEP 1:Equation at the end of step 1 ((3 • (p3)) + 32p2) - 210p
STEP 2 :Equation at the end of step 2: (3p3 + 32p2) - 210p
STEP 3:STEP 4:
Pulling out like terms 4.1 Pull out like factors : 3p3 + 9p2 - 210p = 3p • (p2 + 3p - 70)
Trying to factor by splitting the middle term 4.2 Factoring p2 + 3p - 70 The first term is, p2 its coefficient is 1 .The middle term is, +3p its coefficient is 3 .The last term, "the constant", is -70 Step-1 : Multiply the coefficient of the first term by the constant 1 • -70 = -70 Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term,
which is 3 . -70 + 1 = -69 -35 + 2 = -33 -14 + 5 = -9 -10 + 7 = -3 -7 + 10 = 3 That's itStep-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 10 p2 - 7p + 10p - 70
Step-4 : Add up the first 2 terms, pulling out like factors : p • (p-7) Add up the last 2 terms, pulling out common factors : 10 • (p-7)Step-5 : Add up the four terms of step 4 : (p+10) • (p-7) Which is the desired factorization
Final result : 3p • (p + 10) • (p - 7)
Step-by-step explanation:
mark me brainliest!!
Please Help me out!
What is the measure of angle C?
Tommy has 5 jars of marble. Each Jar is filled 2/3 with marbles. How many full Jars does tommy have? Make a model and shade in the model and complete the calculation.
Calculation: 5x 2/3= Blank/3 =______
5 / ( 2 / 3 ) = 7.5
7 full jars
The area of a rectangular field is 6916 m² if the length of the field is 91 m what is it width?
Answer:
76 m^2
Step-by-step explanation:
Area of a rectangle is width*height. So to find width we will do area/height.
The principal at miller street school has 12 packs of new pencils
Answer: 4
Step-by-step explanation:
Simply divide 12 by 3 because it states she will give 3 to every class,
12/3=4!
х 24, 36, 48
y -8, 1, 10
What is the y-intercept of the line?
18)Write 4 expressions that are equivalent to 6(c
5) - 6?
Answer:
the answer is 6C+24 or if you divide 6 on both sides c+4
examples/expressions:
1. 4(1.5c+6)
2. 3(2c+8)
3. 2(3c+12)
4. 12(0.5c+2)
The area of a rectangle can be represented by the expression 10x^2+41x+21. Which of the following expressions could represent the length of the rectangle?
Group of answer choices
2x-7
2x+3
5x+7
5x+3
Answer:
5x+3
Step-by-step explanation:
(5x+7) is a factor of 10x^2+41x+21.
(5x+3)(2x+7) = 10x^2+41x+21.
THIS IS NOT A QUESTION! THE PPL THAT ANSWERED THIS QUESTION WAS WRONG!!
SO THESE ARE THE CORRECT ANSWERS. I GOT 100%
Line segment L N is tangent to circle O at point M and QM is a diameter.
Circle O is shown. Line segment Q M is a diameter. Line segments P M and Q R are secants. Line segment N L is a tangent and intersects the circle at point M. Angle P M O is 27 degrees and angle M Q R is 42 degrees.
Determine the measure of the following angles.
The measure of ∠QML is degrees.
The measure of ∠PMN is degrees.
Answers:
1. 90
2. 24
Ok, good job for posting the answer
Answer:
For me it says pmn is 63 degrees
Step-by-step explanation:
Please help me I need help
Will mark BRAINLIEST
Decide which of the following is a reasonable answer for
Answer:
[tex]9 \frac{4}{5} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times 7 = \frac{7}{5} \times \frac{7}{1} [/tex]
[tex] \frac{7}{5} \times \frac{7}{1} = \frac{49}{5} = 9 \frac{4}{5} [/tex]
5x+2(2x+3)=51 Solve for x
Answer:
x=5
Step-by-step
5x+2(2x+3)=51
5x+4x+6=51
9x+6=51
9x=45
x=5
Find the equation of a circle whose center is at (2, 3) and radius is 6.
Step-by-step explanation:
2×3=6 I think it's like this
Leia wants to buy a jacket that is $45.00. It's on
sale for 22% off. How much will Leia be paying for
the jacket?
Answer:
$35.10
Step-by-step explanation:
The discount amount is subtracted from the original price to find the discounted price. That math can be done a couple of different ways.
discount = discount rate × original price
sale price = original price - discount
Or, these equations can be combined:
sale price = original amount × (1 - discount rate)
__
Using the latter equation, we get ...
sale price = $45.00 × (1 - 0.22) = $45.00 × 0.78 = $35.10
Leia will be paying $35.10 for the jacket.
[Statistics] Which of the following statements about power are true?
I. Power = P(Type II Error).
II. An increase in sample size increases power
III. A test with higher power is more likely to reject false null hypothesis.
(a) I only
(b) II only
(c) I and II
(d) I and III
(e) I, II, and III
The statements about the power that is true include E. I, II, and III.
What is power?Power simply means the amount of energy that is transferred or converted per unit time.
It should be noted that an increase in sample size increases power and a test with a higher power is more likely to reject false null hypothesis.
Increasing sample size will make the hypothesis test more sensitive and thus more likely to reject the null hypothesis. Thus, it increases the power of the test.
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Around the answer to the nearest dollar
=$
Answer:
23696
Step-by-step explanation:
[tex]Step1\1\\We\ know\ that:[/tex]
↓
[tex]P=15000[/tex]
[tex]r=6.75[/tex]%
[tex]n=1[/tex]
[tex]t=7[/tex]
[tex]Step\ 2:\ Formulate\ and\ substitute:[/tex]
[tex]P=15000[/tex]
[tex]r=6.75[/tex]%
[tex]Substitute[/tex] [tex]into\ formula[/tex]
[tex]n=1[/tex]
[tex]t=7[/tex]
[tex]F=P\ast(1+r/n)^{nt}[/tex]
[tex]F=15000\bullet(1+6.75\bullet\frac{1}{100})^7[/tex]
[tex]Step\ 3:Evaluate[/tex]
[tex]Evaluate\ the\ equation/expression:[/tex]
[tex]23695.53098[/tex]
[tex]Step\ 4:\ Find\ the\ value[/tex]
[tex]Find\ the\ closest\ integer\ to\ 23695.53098:[/tex]
[tex]23696\ YOUR\ ANSWER[/tex]
I hope this helps you
:)
21 – 3x = 6
3
21 – 3(
x
) = 6?
-3x
= 6?
Answer:
x = 5
Step-by-step explanation:
21 - 3x = 6
21 - 6 = 3x
15 = 3x
5 = x
therefore x=5
A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 2000 to create a linear model that predicts the life expectancy, in years, (y) of a female born in a given year (x). Year Born Life Expectancy (years) 1960 66. 1 1970 67. 6 1980 70. 1 1990 71. 9 2000 74. 0 2010 75. 9 Which equation represents this linear model? y = 0. 213x – 352. 7 y = 0. 213x – 358. 4 y = 4. 695x – 9181. 6 y = 4. 695x – 9322. 4.
[tex]Y=0.213x-352[/tex] will represent this linear model shown in the data table.
What will be the linear model for the given data?Put the values of the x in the all given equations and then check the value of y if the value of y matches the given values in the option
So if we put the value x=1980 in the [tex]Y=0.213x-352[/tex] then
[tex]Y=0.213(1980)-352[/tex]
[tex]Y=69.74[/tex]
These values are closest to 70.1 whereas other options do not satisfy the condition.
Thus [tex]Y=0.213x-352[/tex] will represent this linear model shown in the data table.
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