What type of equation is -1/2y=1/2x+5
Answer:
Linear Equation: A linear equation is an algebraic equation. · 2. Polynomial Equation: · 3. Quadratic Equation: · 4. Trigonometric equation: · 5. Radical Equation:
Step-by-step explanation:
greatest common factor of 20 and 10.
Answer:
1,2,5,10
Step-by-step explanation:
Greatest common factor is 10
An electrical firm manufactures light bulbs that have a life, before burn-out, that is normally distributed with mean of 800 hours and standard deviation of 40 hours.
A. Find the probability that a bulb burns between 778 and 834 hours.
B. A random sample of 40 bulbs from that firm is selected. What is the probability that the average light bulb life is at least 820 hours?
Answer:
(A) The probability that a bulb burns between 778 and 834 hours is 0.51118.
(B) The probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs is 0.00079
Step-by-step explanation:
Let X denote the life time of light bulbs.
It is provided that X follows a normal distribution with mean of 800 hours and standard deviation of 40 hours.
(A)
Compute the probability that a bulb burns between 778 and 834 hours as follows:
[tex]P(778<X<834)=P(\frac{778-800}{40}<\frac{X-\mu}{\sigma}<\frac{834-800}{40})\\\\=P(-0.55<Z<0.85)\\\\=P(Z<0.85)-P(Z<-0.55)\\\\=0.80234-0.29116\\\\=0.51118[/tex]
Thus, the probability that a bulb burns between 778 and 834 hours is 0.51118.
(B)
Compute the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs as follows:
[tex]P(\bar X\geq 820)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}\geq \frac{820-800}{40/\sqrt{40}})\\\\=P(Z>3.16)\\\\=1-P(Z<3.16)\\\\=1-0.99921\\\\=0.00079[/tex]
Thus, the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs is 0.00079
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.5111 = 51.11% probability that a bulb burns between 778 and 834 hours.b) 0.0008 = 0.08% probability that the average light bulb life is at least 820 hours.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].In this problem:
Mean of 800 hours, hence [tex]\mu = 800[/tex].Standard deviation of 40 hours, hence [tex]\sigma = 40[/tex].Item a:
The probability is the p-value of Z when X = 834 subtracted by the p-value of Z when X = 778, hence:
X = 834:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{834 - 800}{40}[/tex]
[tex]Z = 0.85[/tex]
[tex]Z = 0.85[/tex] has a p-value of 0.8023.
X = 778:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{778 - 800}{40}[/tex]
[tex]Z = -0.55[/tex]
[tex]Z = -0.55[/tex] has a p-value of 0.2912.
0.8023 - 0.2912 = 0.5111
0.5111 = 51.11% probability that a bulb burns between 778 and 834 hours.
Item b:
Sample of 40, hence [tex]n = 40, s = \frac{40}{\sqrt{40}}[/tex].
The probability is 1 subtracted by the p-value of Z when X = 820, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{820 - 800}{\frac{40}{\sqrt{40}}}[/tex]
[tex]Z = 3.16[/tex]
[tex]Z = 3.16[/tex] has a p-value of 0.9992.
1 - 0.9992 = 0.0008
0.0008 = 0.08% probability that the average light bulb life is at least 820 hours.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
graph 3x-2y=6 how do you graph this in algebra
Answer:
I don't have algebra but I suggest looking it up and it might show you at the very top.
Step-by-step explanation:
Hope this helps you:)
Witch variable represents the y intercept
Answer:
B
Step-by-step explanation:
Y=mx=b
m= slope
b= y- intercept
x&y are variables
Tell whether the angles are complementary or supplementary. Then find the value of x
Answer:
Complementary, x=78
Step-by-step explanation:
90= (x-8)+20
complementary angles add up to 90 degrees.
Answer:
Complementary, x is 78
Step-by-step explanation:
Let's first define what complementary and supplementary angles are. Complementary angles add up to 90 degrees, and supplementary add up to 180. From this image, we can see that this is a right angle. Right angles add up to 90 degrees, therefore, this is a complementary angle.
Now, because we know that it is 90 degrees and that (x-8)+(20) = 90, then we can solve for x. However, if the angle is unknown, then we would do x-8=20. In this case, sense we know for sure this angle is complementary, we do
(x-8)+(20) = 90
X+12=90 We combined like terms
X=78 Inverse operations
You can plug 78 into x and check to see if it is correct if they are 90 degrees total.
Write an inequality that represent the following sentence and SOLVE. Be sure to show work on binder paper for credit.
the sum of y and 8.1 is less than 24.
Solution after solving:
Answer:
y+8.1<24
Step-by-step explanation:
Sum of= addition
y+8.1
less than is <
<24
Two angles of a triangle measure 55 and 20. What is the measure of the third angle of the triangle
Answer:
105
Step-by-step explanation:
180-(55+20)=105
105 is the missing angle because every triangle equals 180 degrees so you just subtract the angles you have already found from 180.
the person above me is correct i checked it so it is indeed 105!
Which decimal and percent represents 7/8
Answer:
decimal - 0.875
percent - 87.50%
Step-by-step explanation:
all of listen if you don't get answers if you get difficult to answer question then do one thing
1.just type question in google
2.then search it then you can see many answers were shown
3.just choose one answer from that and then write this is easy thats why
ok thx going to back my server I just came to visit
Answer:
Thank for the help
Step-by-step explanation:
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
-$6.75
-$9.00
-$12.00
-$27.00
Answer: 27.00
Step-by-step explanation:
$50 - $23 = $27
Answer:
$27.00
Step-by-step explanation:
"D"
If x + y = 5, then x =
1. 5y
2. 5+y
3. 5 - y
Which equation is quadratic in form?
2(x + 5)2 + 8x + 5 + 6 = 0
x6 + 6x4 + 8 = 0
7x6 + 36x3 + 5 = 0
4x9 + 20x3 + 25 = 0
Answer:
I think it's the first one... but I'm not pretty sure.
Answer:
C
Step-by-step explanation:
edge 2020
Friction is a force too. how can friction help you in your daily life? how can it hurt you?
Answer:
friction is what helps you to walk
Step-by-step explanation:
your foot rubbing against the floor cause friction
Answer:
Friction helps you: Brakes us friction to stop a wheel like on cars, bikes, etc.
Friction hurts you: It can hurt you like when you fall it creates friction and can scrape yourself
What is the factored form of x3 + 216?
A.
(x − 6)(x2 + 6x + 36)
B.
(x + 6)(x2 − 6x + 36)
C.
(x + 6)(x2 − 12x + 36)
D.
(x + 6)(x2 + 12x + 36)
Answer:
now using the formula (a-b) (a2+ab+b2)=a3-b3
=>x3-63
x3-216#answer
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36). Then the correct option is B.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The cubic polynomial is given below.
⇒ x³ + 216
Then the cubic polynomial is written as,
⇒ x³ + 6 × 6 × 6
⇒ x³ + 6³
We know that the formula of a³ + b³ is given as,
a³ + b³ = (a + b)(a² – ab + b²)
Compare the expression, we have a = x and b = 6. Then the expression will be
x³ + 6³ = (x + 6)(x² – 6x + 6²)
x³ + 6³ = (x + 6)(x² – 6x + 36)
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36).
Then the correct option is B.
More about the factorization link is given below.
https://brainly.com/question/6810544
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I really need help with this one
Answer:
a=70 b=.16 c=350
Step-by-step explanation:
50 messages is 8 dollars
Which statement is the correct interpretation of the inequality −3 > −4?
Answer:
Most number lines have left be negative and right be positive. Hence, -3, which is more positive than -4, would be to the right of -4.
Step-by-step explanation:
Helpppp will give brainlist !!
Answer:
3 = 18 ( 3 * 6 = 18 ) 4 = 32 ( 4 * 8 = 32 ) 5 = 50 ( 5 * 10 = 50 ) 6 = 72 ( 6 * 12 = 72 ) 7 = 98 ( 7 * 14 = 98 ) 8 and 9 are Missing. So, there must be Pattern, 8 = 128 ( 8 * 16 = 128 ) 9 = 162 ( 9 * 18 = 162 )
For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?
How many 7/8-teaspoon servings are in 1/4 of a teaspoon of sugar? Yor anwer needs to be in farction in simplest form.
True False x-sqrt6 is a factor of x^4-36
a bowl of grapes has a total mass of 265 grams. The bowl has a mass 121 grams
Answer:
144 grams
Step-by-step explanation:
Im assuming you want to mass of grapes, do total mass subtracted by the mass of the bowl
Please help me I need help?!!!
Answer:
B
Step-by-step explanation:
-4(X + 3) s-2 - 2x
What is the solution?
10x+7y=-3 and 5x-y=3
Step-by-step explanation:
{
x
=
1
y
=
4
Explanation:
Take a look at your starting system of equations
{
5
x
+
y
=
9
10
x
−
7
y
=
−
18
Notice that if you multiply the first equation by
(
−
2
)
, and add the right-hand sides and the left-hand sides of the equations separately, you can eliminate the
x
-term.
This will leave you with one equation with one unknown,
y
.
{
5
x
+
y
=
9
∣
⋅
(
−
2
)
10
x
−
7
y
=
−
18
{
−
10
x
−
2
y
=
−
18
10
x
−
7
y
=
−
18
---------------------------------------------------
−
10
x
−
2
y
+
10
x
−
7
y
=
−
18
+
(
−
18
)
−
9
y
=
−
36
⇒
y
=
(
−
36
)
(
−
9
)
=
4
Now use this value of
y
in one of the two original equations to find the value of
x
5
x
+
(
4
)
=
9
5
x
=
5
⇒
x
=
5
5
=
1
is 4.23x10^-5 greater than 1 or less than 1? explain how you know
Answer: Less than 1
Step-by-step explanation: 4.23 x 10^-5 simply translated to 0.0000423
which is less than 1.
Answer:
less than 1
Step-by-step explanation:
4.23 * 10^5 is less than 1
Sasha has $90 to spend on clothes. She wants to buy a pair of jeans for $27 dollars and spend the rest on t-shirts. Each t-shirt costs $9. Which inequality represents the number of t-shirts she can purchase?
x ≤ 7
x ≥ 7
x ≤ 12
x ≥ 12
Answer:
she can buy 7 t shirts or x ≤ 7
Step-by-step explanation:
90 minus 27 = 63
63 divided by 9 = 7
Answer:
x<7 (x is less than or equal to 7)
(A)
Step-by-step explanation:
You work in a hospital, and instructions for an instrument state that it should be cleaned in the
sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many
minutes do you set for the sterilizer?
A. 90
B. 120
C. 180
D. 240
E. 500
Answer:
B
Step-by-step explanation:
120/60=2
2 hours
The time required in minutes to set the sterilizer is 120. The correct option is B.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.
The time in minutes will be calculated as:-
Time = 2 hours
Time = 2 x 60 minutes
Time = 120 minutes
Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.
To know more about an expression follow
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The given figure is a regular hexagon with side length 12 and radius 10. Find its area.
Question 11 options:
A)
120
B)
96
C)
288
D)
576
Answer:
its C
Step-by-step explanation:
The area of a regular hexagon is 288 square units, which is option C.
What is a regular hexagon?A hexagon is a six-sided polygon. And a regular hexagon means, the hexagon's sides are equal.
And no interior angle has an angle measuring more than 120°.
As per the given information, we can create 6 equal size triangles.
For that find the length of the apothem,
As per Pythagoras' theorem,
Apothem = √(10)² - (6)² = √(64) = 8.
Now, the area of the regular hexagon can be described as,
S = 6 x 1/2 x 12 x 8
S = 288 square units.
Therefore, the area of the required hexagon is 288 square units.
To learn more about the hexagon;
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|| evaluate. ||
m/ 2 for m = 8
help asap plsplspls !! :)
Answer:
4
Step-by-step explanation:
8/2=4