Simplify 8 . 3 . X A.13x B.24x C.22x D.48x

You bike 9.8 miles in 1.4 hours at a steady rate.What equation represents the proportional relationship between the x hours you

AlexFokin [52]

Answer:

The equation is $\frac{x}{y}= 8$

Step-by-step explanation:

Let the time for which i bike is = x hours

Let the distance traveled in x hours = y miles

Ratio of distance and time will be = x : y

I travel 11.2 miles in 1.4 hours then the ratio of time and the distance traveled will be 1.4 : 11.2 Or 14 : 112

then the ratio of distance and time will be same in both the cases

So equation will be

$\frac{x}{y} =\frac{14}{112}\\\\\frac{x}{y} =8$

Hence, equation representing the proportional relationship will be $\frac{x}{y}= 8$

4 0

3 years ago

sam raked 3 bags of leaves in 6 minutes.if he works at the same rate, about how long will it take him to rake 5 bags

Hunter-Best [27]

It would take 10 min

6 0

3 years ago

Read 2 more answers

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

What is the slope and y-intercept of the function shown in the table? X: 1,4,7 Y:6,12,18

NemiM [27]

Answer:

y=2x*6

Step-by-step explanation:

5 0

3 years ago

Let f(x)=7x^2-8. find f(a^2)

strojnjashka [21]

Answer:

$\large\boxed{f(a^2)=7a^4-8}$

Step-by-step explanation:

$f(x)=7x^2-8\\\\f(a^2)\to \text{put}\ x=a^2\ \text{to the equation of the function}\ f:\\\\f(a^2)=7(a^2)^2-8\qquad\text{use}\ (a^n)^m=a^{nm}\\\\f(a^2)=7a^{2\cdot2}-8\\\\f(a^2)=7a^4-8$

6 0

3 years ago