MATHEMATICS COLLEGE

Write this small number in standard form. 0.00078

Answers

Answer 1

Answer:

78/100000

Hope it helps you

Answer 2

Answer: 7.8^ -4 is scientific notation

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The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches. What are the z-scores for a woman 6 feet tall and a man 5'10" tall? (You may round your answers to two decimal places) z-scores for a woman 6 feet tall: z-scores for a man 5'10" tall:

Help me with this again please

Answers

The one on the bottom left.

A 4 foot wide painting should be centered on a 14 foot wide wall. How many feet (x) should be on each side of the painting?

Answers

Answer:

5 feet

Step-by-step explanation:

To find x, we can write:

x + 4 + x = 14

2x + 4 = 14

2x = 10

x = 5 feet

Sand poured from a beach pail forms a cone with a height of 32 centimeters and a volume of 3351.0 cubic centimeters. What is the radius of the sand poured from a beach pail in the shape of a cone?

Answers

Answer:r=10 cm

Step-by-step explanation:

Given

Height of Cone $h=32\ cm$

Volume $V=3351\ cm^3$

and Volume of cone $V=(1)/(3)\pi r^2h$

$\Rightarrow 3351=(1)/(3)\pi (r)^2* 32$

$\Rightarrow \pi r^2=(10,053)/(32)$

$\Rightarrow r^2=(314.156)/(3.142)$

$\Rightarrow r=√(99.986)$

$\Rightarrow r=9.99\approx 10\ cm$

Answer:

Radius = 5.77231 cm

Step-by-step explanation:

Volume of Cone Vc = $\pi r^2 (h/3)$ ;

where h = height of cone, r = radius, $\pi$ = 22/7

Given : Vc = 32 , h = 32 , r = ?

As per formula :- 3351 = (22/7) (r^2) (32)

r^2 = (3351 x 7) / (32 x 22)

r^2 = 33.3196

r = √33.3196 = 5.77231

The following table shows claim amounts and their probabilities for an insurance company that offers homeowners’ insurance policies. Calculate the expected claim amount. That is, on average, how much will the insurance company have to pay in claims per policy holder?$2250

$5000

$7500

$3250

Answers

the answer is $5000.

Which expression is equivalent to 2la+26)-2-26?

Answers

Answer:

Dear user,

Answer to your query is provided below

2(al−1) is the expression equivalent for 2la+26−2−26

Suppose you read online that children first count to 10 successfully when they are 32 months old, on average. You perform a hypothesis test evaluating whether the average age at which gifted children first count to 10 is different than the general average of 32 months. What is the p-value of the hypothesis test? Choose the closest answer.

Answers

Answer:

$p_v =2*P(t_((35))<-1.822)=0.0885$

Step-by-step explanation:

Assuming this info from R

hist(gifted$count)

## Min. 1st Qu. Median Mean 3rd Qu. Max.

## 21.00 28.00 31.00 30.69 34.25 39.00

## Sd

## [1] 4.314887

Data given and notation

$\bar X=30.69$ represent the mean

$s=4.3149$ represent the sample standard deviation

$n=36$ sample size

$\mu_o =32$ 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)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is different than 32, the system of hypothesis would be:

Null hypothesis: $\mu = 32$

Alternative hypothesis: $\mu \neq 32$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=(\bar X-\mu_o)/((s)/(√(n)))$ (1)

t-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".

Calculate the statistic

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

$t=(30.69-32)/((4.3149)/(√(36)))=-1.822$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=36-1=35$

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

$p_v =2*P(t_((35))<-1.822)=0.0885$

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