What is the answer to 1/8(3x-16)<4

Three consecutive integers have a sum of 42. Find the integers.

faltersainse [42]

Answer:

13, 14, 15

Step-by-step explanation:

Three consecutive integers have a sum of 42 means which 3 numbers in a row add up to 42

We can call the lowest integer x,

the next integer x+1 (since our integers need to be even)

the third integer x+2

algebraic equation: 42 = x + (x+1) + (x+2).

Combine like terms on the right side,

42 = 3x + 3

Subtract 3 from each side

39 = 3x

Divide each side by 3

x=13, which is our lowest integer.

The next two integers we find with 13 + 1 =.14 and 13 + 2 = 15

13 + 14 + 15 = 42.

6 0

1 year ago

Solve the equation <br><br> 9x^2 - 64= 0<br><br> 9x^2 + 64= 0

My name is Ann [436]

Answer:

x1= - 8/3 , x2= 8/3

Step-by-step explanation:

4 0

3 years ago

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the a

ZanzabumX [31]

Answer:

1) Null hypothesis: $p\geq 0.41$

Alternative hypothesis: $p < 0.41$

2) $\hat p=0.36$ estimated proportion of people indicated that they watch the late evening news on this local CBS station

3) $z_{crit}=-2.33$

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

4) $z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017$

5) $z_{crit}=-1.28$

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

6) We see that $|t_{calculated}|$ so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

7) Null hypothesis: $p\geq 0.41$

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

X represent the people indicated that they watch the late evening news on this local CBS station

$\hat p=0.36$ estimated proportion of people indicated that they watch the late evening news on this local CBS station

$p_o=0.41$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v{/tex} represent the p value (variable of interest) Part 1We need to conduct a hypothesis in order to test the claim that 11:00 PM newscast reaches 41 % of the viewing audience in the area: Null hypothesis:[tex]p\geq 0.41$

Alternative hypothesis: $p < 0.41$

Part 2

$\hat p=0.36$ estimated proportion of people indicated that they watch the late evening news on this local CBS station

Part 3

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.01 of the area on the left and on this case this value is :

$z_{crit}=-2.33$

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

Part 4

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017$

Part 5

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.1 of the area on the left and on this case this value is :

$z_{crit}=-1.28$

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

Part 6

We see that $|t_{calculated}|$ so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

Part 7

Null hypothesis: $p\geq 0.41$

4 0

2 years ago

Which one is distributive property

faust18 [17]

Answer:

G

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A shop keeper bought 26 apples from a fruit vendor for $37.70. How much did each apple cost?

Semenov [28]

You have to divide 37.70. By 26

3 0

3 years ago

Read 2 more answers