Answer:
A) y=2(x+2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-0)/(2-(-2))
m=8/(2+2)
m=8/4
m=2
y-y1=m(x-x1)
y-0=2(x-(-2))
y=2(x+2)
y=2x+4
Write the rate of decay of the function as a percent. y=12(.9)
Answer:
18
Step-by-step explanation:
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Answer:
[tex] \frac{5}{24} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{7}{8} - \frac{2}{3} [/tex]
Required:
Difference of the fractions in simplified form
Solution:
[tex] \frac{7}{8} - \frac{2}{3} [/tex]
The common denominator of both fractions is 24
Therefore:
[tex] \frac{3*7 - 8*2}{24} [/tex]
[tex] \frac{21 - 16}{24} [/tex]
[tex] \frac{5}{24} [/tex]
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 4 minutes. Use that as a planning value for the standard deviation in answering the following questions. Round your answer to next whole number
This question is incomplete, the complete question is;
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and preview ads before the movie starts. Many complain that the time devoted to previews is too long (The Wall Street Journal, October 12, 2012). A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 4 minutes. Use that as a planning value for the standard deviation in answering the following questions. Round your answer to next whole number,
a) If we want to estimate the population mean time for previews at movie theaters with a margin of error of 75 seconds, what sample size should be used? Assume 95% confidence.
b) If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used? Assume 95% confidence.
Answer:
a) the required Sample Size is 40
b) the required Sample Size is 62
Step-by-step explanation:
Given the data in the question;
standard deviation σ = 4 minutes
a)
margin of error E = 75 seconds = ( 75 / 60 )minutes = 1.25 minutes
And 95% confidence.
Now, Critical Value of z for 0.95 confidence interval;
∝ = 1 - 0.95 = 0.05
[tex]Z_{\alpha /2[/tex] = 1.96
so, sample size n will be;
n = [ [tex]Z_{\alpha /2[/tex] × σ/E ]²
we substitute;
n = [ 1.96 × (4/1.25) ]²
n = [ 1.96 × 3.2 ]²
n = [ 6.272 ]²
n = 39.338
Since we referring to a number of sample, its approximately becomes 40
Therefore, the required Sample Size is 40
b)
margin of error E = 1 minutes
And 95% confidence.
Now, Critical Value of z for 0.95 confidence interval;
∝ = 1 - 0.95 = 0.05
[tex]Z_{\alpha /2[/tex] = 1.96
so, sample size n will be;
n = [ [tex]Z_{\alpha /2[/tex] × σ/E ]²
we substitute;
n = [ 1.96 × (4/1) ]²
n = [ 1.96 × 4 ]²
n = [ 7.84 ]²
n = 61.466
Since we referring to a number of sample, its approximately becomes 62
Therefore, the required Sample Size is 62
[tex](w + \frac{4}{w} ) {}^{2} [/tex]
sin W= 0.23
Please help!!!!
Answer:
[tex]W = 13.29^\circ[/tex]
Step-by-step explanation:
Given
[tex]\sin(W) = 0.23[/tex]
Required
Find W
Take arc sin of both sides
[tex]W = \sin^{-1}(0.23)[/tex]
Using a calculator
[tex]W = 13.29^\circ[/tex]
Identify the terminal point for a 30° angle in a unit circle.
The terminal point of the unit circle (cos θ, sine θ) for 30° is ( √3/2 , 1/2 ).
What is the terminal point?"The terminal point is the ray that has been rotated around the origin to form an angle with the stationary ray which is the initial side of the angle. They are sine and cosine values of the most common acute-angle measures".
For the given question,
Angle = 30°
The terminal point on the unit circle has the cosine as x -coordinate and the sine as y - coordinate are mostly acute-angle measures.
Here, θ = 30°
The x-coordinate is cos 30° = [tex]\frac{\sqrt{3} }{2}[/tex]
The y-coordinate is sin 30° = [tex]\frac{1}{2}[/tex]
Hence we can conclude that the terminal point for 30° is ( √3/2 , 1/2).
Learn more about terminal points of circles here
https://brainly.com/question/23361272
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Answer:
Hihi <333
Step-by-step explanation:
The answer is C.
Whenever looking at questions from this site make sure to carefully read your question so you don't accidentally click the wrong answer
What is the average rate of change of f(x), represented by the graph, over the interval [0, 2]?
Identify each number with an absolute value of 5/2
Answer:
5/2 and -5/2
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Jeff's bowling scores are approximately normally distributed with mean 100 and standard deviation 21, while Pam's scores are normally distributed with mean 155 and standard deviation 22. If Jeff and Pam each bowl one game, then assuming that their scores are independent random variables, approximate the probability that
a. the total of their scores is above 260.
b. Jeffs score is higher.
Answer:
a. 0.4364 = 43.64% probability that the total of their scores is above 260.
b. 0.0351 = 3.51% probability that Jeff's score is higher.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Sum/Subtraction between normal variables:
When two normal variables are added/subtracted, the mean is the sum/subtraction of the means, while the standard deviation is the square root of the sum of the variances.
a. the total of their scores is above 260.
Mean is the sum of the means, so:
[tex]\mu = 100 + 155 = 255[/tex]
Standard deviation is the square root of the sum of the variances. So
[tex]\sigma = \sqrt{21^2+22^2} = 30.4[/tex]
The probability is 1 subtracted by the p-value of Z when X = 260. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{260 - 255}{30.4}[/tex]
[tex]Z = 0.16[/tex]
[tex]Z = 0.16[/tex] has a p-value of 0.5636
1 - 0.5636 = 0.4364
0.4364 = 43.64% probability that the total of their scores is above 260.
b. Jeff's score is higher.
Jeff's mean is of 100, while Pam's is of 155. The probability of Jeff's score being higher is the probability that the subtraction is above 0. The mean is:
[tex]\mu = 100 - 155 = -55[/tex]
The probability is 1 subtracted by the p-value of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-55)}{30.4}[/tex]
[tex]Z = 1.81[/tex]
[tex]Z = 1.81[/tex] has a p-value of 0.9649.
1 - 0.9649 = 0.0351
0.0351 = 3.51% probability that Jeff's score is higher.
What is the solution of log(2+ + 4) = log(14.- 3c)?
Answer:
C. 2
Step-by-step explanation:
Cancel log from both sides,
2t + 4 = 14 - 3t
5t = 10
t = 2
Tina wants to buy grass seed to cover her whole lawn, except for the pool. The pool is 7/12 m by 3 /14 m. Find the area the grass seed needs to cover.
Answer:
Since Tina wants to buy grass seed to cover her whole lawn, except for the pool, and the pool is 7/12 m by 3/14 m, to find the area the grass seed needs to cover the following calculation must be performed:
It is impossible to determine the area that the grass seed needs to cover, because we do not have the data of the total size of the lawn. Now, you can determine the size of the surface that should not be covered, which is the one that the pool occupies, namely:
7/12 x 3/14 = X
0.583333 x 0.2142 = X
0.1249 = X
Therefore, the grass seed should not cover about 0.1249 square meters.
I need this please help me
What do we do to both sides of the equation? X-8=3
Step-by-step explanation:
......................
find the slope, also in y=mx+b
Answer:
y=3x+(-4
Step-by-step explanation:
when it zero you can easily get the starting point so it -4
and i notice it 3 because 3×2 equals 6-4 equals 2
SOLVE EACH SYSTEM OF EQUATIONS BY SUBSTITUTION!!!
Answer:
.
Step-by-step explanation:
A spinner is divided into 5 equal sections using the pictures of a horse, dog, cat, house, and mouse. After 20 spins, the spinner lands on the horse 2 times the dog 5 times the cat 4 times the house 4 times and the mouse 5 times. What is the experimental probability of the spinner landing on house?
Answer:
1/5
Step-by-step explanation:
No matter how many times you spin, it will always remain random. (With a few exceptions)
What triangle is formed by the points (3,2), (4,7), and (5,6)?
Answer:
Scalene Triangle
Step.-by-step explanation:
Calculate the lengths of the sides:
Side 1 = √((4-3)^2+(7-2)^2) = √26.
Side 2 = √((6-7)^2+(5-4)^2) = √2.
Side 3 = √((6-2)^2+(5-3)^2) = √20.
So each side is different in length and so its a scalene triangle.
What is shrinkage in Accounting?
9514 1404 393
Explanation:
Shrinkage is the loss of inventory from causes other than normal use or sales. It is the difference between the inventory on the books and the amount of inventory actually available for use. Typical causes of shrinkage are theft, damage, fraud, counting error, administrative error.
Each table in a library can seat up to 8 people. There
are enough tables for 96 people. How many tables are
there in the library?
88, 12, 72, 14?????
Answer:
96 divided by 8 = 12
Step-by-step explanation:
a line segment with endpoints A = (3, 0) and B = (7,0). Then, plot all points
C = (x, y) such that the triangle ABC has an area of 12 square units.
What geometric formula and theorem are needed to solve this problem?
Answer:
C(0,6)
Step-by-step explanation:
1) find the length of the base of the triangle
AB = 7-3 = 4
2) find the the height of the triangle
A = (base x height)/2
A x 2 = base x height
height = (A x 2)/base
height = (12 x 2)/4 = 6
3) find the equation of the line that passes threw the points AB
the two points have the same y so the equation of the line is
y = 0
4) use the formula of the distance between a point and a line to find C
|ax+by+c|/√a^2 + b^2 = distance
x = 0
y = 6
C (0,6)
ANSWER THIS ASAP DONT SEND A FILE AT ALL !! I NEED THE ANSWER TO QUESTION
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
in 52469 6 is in the
Answer:
6 is in the tenths place.
Step-by-step explanation:
Each digit is a number has a place, and we start counting from left to the right.
52469
9 is in the units place
6 is in the tenths place.
4 is in the cents place.
2 is the thousandths place.
5 is in the ten thousandths place.
The question asks 6, which is in the tenths place.
Ross has a board that is 12 feet long. He needs to cut the board into equal pieces that are 1/2 feet long. How many pieces can she cutt
Answer:
13
Step-by-step explanation:
9514 1404 393
Answer:
24
Step-by-step explanation:
Assuming that making the cut does not change the total length of the board, each foot can be divided into two pieces that are 1/2 foot. The number of pieces will be ...
(12 ft)/(1/2 ft/piece) = (12×2) pieces = 24 pieces
Ross can make 24 pieces that are 1/2 ft long from her board.
which function has zeros at x = -4 and x = 7
Answer:
Chaeyoung!!!!
Step-by-step explanation:
I love Twice!!!
Help me pls greatly appreciated
Answer: 43/75 chance
Step-by-step explanation:
total number of coins:
15 + 28 + 12 + 20 = 75
total number of coins that arent quarters or dimes:
15 + 28 = 43
so the probability would be 43/75, which is not simplifiable
I need help plsss I will give u more points
Answer:
The value of 0.9* 10² is D.90.4*(12-8)+2³4*4+2³16+824a.
False : it is to add 16+8
b.
False : its 8.
c.
True.
d.
False : its 24.
3.
side of cube [a]=2ft
volume of cube [V]=a³=2³=8ft³
He needs 1 bag to buy.As its volume is equal.
I need help on this
Answer:50
Step-by-step explanation:
CAN SOMEONE TELL ME WHAT THIS IS PLEASE
Answer:
A = 533.8 square inches
Step-by-step explanation:
Use the surface area of a cylinder formula (A=2πrh+2πr^2)
Plug in 12 for h and 5 for r
Use 3.14 in replace for π
A = 2(3.14)(5)(12) + 2(3.14)(5)^2
A = 533.8 in^2
Step-by-step explanation:
55 square inches tall is the average cost of a house in the morning po everything is the same as
12 and a half percent of 48.40
Answer:
6.05
Step-by-step explanation:
12 and a half percent of 48.4 = 6.05 because you can put .125 in your calculator and it is the same at 12.5% so you do .125 * 48.40 and you get 6.05
Dan has put his coins into 2 stacks, Each stack has the same number of coins. There are 12 coins total, How many coins are in each stack?
Answer: 6
Step-by-step explanation: Division use a calculator 12/2
Answer:
6
Step-by-step explanation:
From question:
Dan has put his coins into 2 stacks
2 stacks in total
Each stack has the same number of coins
Number of coins in stack 1 = number of coins in stack 2
x = x
There are 12 coins total
Total number of coins in 2 stacks = 12
2x = 12
x = 6
There are six coins in one stack.