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3 years ago

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Omar is making a scale model of the Statue of Liberty for report on New York City. The Statue of Liberty is 305 feet tall measur

ing from the ground to the top of the torch. If the model is 1/100 the actual size of the Statue of Liberty, how tall is the model

1 answer:

Whitepunk [10]3 years ago

7 0

Well if u multiply 305feet by 1/100 in your calculator you'll get 3.05ft tall

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A county fair charges $5 for tickets and $2 for each ride. What is the y-intercept in this scenario?

Anastasy [175]

The y-intercept in this scenario is y= 5x+2

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3 years ago

Are the opposites of -6.5 and the absolute value value -6.5 the same

algol [13]

I know the absolute value is how far away from zero is it. ( +6.5) so I would assume the opposite is the same thing.

7 0

3 years ago

A paper describes a study in which researchers observed wait times in coffee shops in Boston. Both wait time and gender of the c

kvasek [131]

Answer:

$t=\frac{85.8-113.4}{\sqrt{\frac{(50)^2}{145}+\frac{(75)^2}{141}}}}=-3.65$

$p_v =2*P(t_{(284)}$

Using Excel we can use the following code: "=2*T.DIST(-3.65;284;TRUE)"

So the p value is a very low value and using any significance level giveen $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and there is enough evidence to conclude that the means are different.

Step-by-step explanation:

1) Data given and notation

$\bar X_{M}=85.8$ represent the mean for the males

$\bar X_{F}=113.4$ represent the mean for females

$s_{M}=50$ represent the sample standard deviation for males

$s_{F}=75$ represent the sample standard deviation for female

$n_{M}=145$ sample size for the group poisoned

$n_{F}=141$ sample size for the group unpoisoned

t would represent the statistic (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for the two groups are equal or not , the system of hypothesis would be:

Null hypothesis: $\mu_{M} = \mu_{F}$

Alternative hypothesis: $\mu_{M} \neq \mu_{F}$

If we analyze the size for the samples both are higher than 30 but the population deviations are not given, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{M}-\bar X_{F}}{\sqrt{\frac{s^2_{M}}{n_{M}}+\frac{s^2_{F}}{n_{F}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

We can replace in formula (1) the results obtained like this:

$t=\frac{85.8-113.4}{\sqrt{\frac{(50)^2}{145}+\frac{(75)^2}{141}}}}=-3.65$

4) Statistical decision

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

$df=n_{M}+n_{F}-2=145+141-2=284$

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

$p_v =2*P(t_{(284)}$

Using Excel we can use the following code: "=2*T.DIST(-3.65;284;TRUE)"

So the p value is a very low value and using any significance level giveen $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and there is enough evidence to conclude that the means are different.

4 0

3 years ago

Val’s go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 gallon of gas, to fill the go cart

SOVA2 [1]

$v = bh$

$v = (15.4 \times 10) \times 3$

$v = {462} \: inches \: ^{3}$

~~

$462 \div 231 = 2$

~~

It will take 2 full gas cans to fill it up!!

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

3 0

3 years ago

Read 2 more answers

Help please!! Thank you!! :)

Naddik [55]

Answer:

A. m^2+7m+10=0

Step-by-step explanation:

This is a problem in pattern matching, and in substituting a variable for a pattern.

(x^2+3)^2 +7x^2 +21 = -10 . . . . . . given

(x^2 +3)^2 +7(x^2 +3) = -10 . . . . . factor the last two terms

m^2 +7m = -10 . . . . . . . . . . . . subsitute m for x^2 +3

m^2 +7m +10 = 0 . . . . . . . . add 10 to both sides; matches A

5 0

1 year ago