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OleMash [197]
2 years ago
9

Simplify. 1/4(1−2/3)2 last 2 is a exponent 1/3

Mathematics
1 answer:
yulyashka [42]2 years ago
3 0
Idk but I will try

1-2/4=1/4 then you simplify 1/4 into 2/3 and 2/3 simplified into nothing so its
2/3
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The point E(3,3) is rotated 90 degrees clockwise around the orgin. What are the coordinates of the resulting point E
givi [52]
The coordinates are 3,-3
4 0
3 years ago
4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (
Sergeu [11.5K]

Answer:

The probability that the household has only cell phones and has high-speed Internet is 0.408

Step-by-step explanation:

Let A be the event that represents U.S. households has only cell phones

Let B be the event that represents U.S. households have high-speed Internet.

We are given that 51% of U.S. households has only cell phones

P(A)=0.51

We are given that 70% of the U.S. households have high-speed Internet.

P(B)=0.7

We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.

P(B|A)=0.8

\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408

Hence the probability that the household has only cell phones and has high-speed Internet is 0.408

7 0
2 years ago
Write a linear function f with f(−10)=4 and f(−2)=4.
Orlov [11]

f(-10) = 4

f(-2) = 4

Since y is constant while x isnt we just dont need to put x

f(x) = 4

6 0
3 years ago
HELP ME WITH MATH PLS
Natasha2012 [34]

Answer: y = (xm)/3 + b

Step-by-step explanation:

1. Multiply m on both sides

x × m = 3(y - b)

2. Divide by 3 on both sides

(xm)/3 = y - b

3. Add b on both sides

y = (xm)/3 + b

8 0
3 years ago
An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t
Fynjy0 [20]

Answer:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

\bar X=31.1 represent the sample mean  

\sigma=1.3 represent the population standard deviation

n=140 sample size  

\mu_o =31.3 represent the value that we want to test  

\alpha=0.02 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:  

Null hypothesis:\mu =31.3  

Alternative hypothesis:\mu \neq 31.3  

Since we know the population deviation, the statistic is given by

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing we got:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0
3 years ago
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