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3 years ago

1. Find the area of each of the composite figures: a) 6 m 8 m 10 m

Mathematics

2 answers:

Dafna1 [17]3 years ago

7 0

Answer:

Could u include a picture of the figures as well?

Step-by-step explanation:

Brrunno [24]3 years ago

5 0

Include picture . I can help but send pic of the composite figure.

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat

Mrrafil [7]

Answer:

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

Step-by-step explanation:

Data given and notation

$\bar X=114$ represent the sample mean

$\sigma=22$ represent the population standard deviation

$n=36$ sample size

$\mu_o =120$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part 1

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

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

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

8 0

3 years ago

If 0 is an acute angle and sin 0 = 1/2 then cos 0 =

djverab [1.8K]

In quadrant I, when sin angle is 1/2, cos angle is (sqrt3)/2

7 0

3 years ago

PLEASE HELP ME GIVING 20 POINTS!! 16 > -8 + x

KonstantinChe [14]

Answer:

The answer is x<24

7 0

3 years ago

Read 2 more answers

For the senior pic mr. Williams is using two cylinders to help keep the food cool the inside still there with the radius of 8 in

Rasek [7]

The answer is 1,695.6 in³.

The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2

The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14

V1 = 3.14 * 10² * 15 = 4,710 in³

The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14

V2 = 3.14 * 8² * 15 = 3,014.4 in³

The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³

4 0

3 years ago

What is the equation of the line in point slope form

Phoenix [80]

Well... to solve use rise over run... that is to find the slope,
now to find the y-intercept you look at what coordinate crosses the y-axis.
y= (what you got for the slope Ex. 1/2)x + (the y-intercept)

Figure it out and you got the answer with just a bit of help!!!

Hope this helps!

5 0

3 years ago