A carpender buys bolts for 1.18 per pound. The carpenter brought 18.5 lb. of bolts. How much did the bolts cost?

Determine the slope of the line passing through the points (5,6) and (-5,-1)m=____

EleoNora [17]

GIVEN:

We are given two points on a line and these are;

$A=(5,6),\text{ }B=(-5,-1)$

Required;

We are required to determine the slope of the line passing through these points.

Step-by-step solution;

The slope of a line is given by the formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

The variables are;

$\begin{gathered} (x_1,y_1)=(5,6) \\ \\ (x_2,y_2)=(-5,-1) \end{gathered}$

We can now substitute these into the formula and then simplify;

$\begin{gathered} m=\frac{-1-6}{-5-5} \\ \\ m=\frac{-7}{-10} \\ \\ m=\frac{7}{10} \end{gathered}$

ANSWER:

The slope of the line passing through the given points is;

$m=\frac{7}{10}$

6 0

6 months ago

The following 5 questions are based on this information: An economist claims that average weekly food expenditure of households

liq [111]

Answer:

Null hypothesis: $\mu_{1}-\mu_{0}\leq 0$

Alternative hypothesis: $\mu_{1}-\mu_{2}>0$

$SE=\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}=2.705$

b) 2.70

$t=\frac{(164-159)-0}{\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}}=1.850$

b. 1.85

$p_v =P(Z>1.85)=0.032$

b. 0.03

a. We can reject H(0) in favor of H(a)

Step-by-step explanation:

Data given and notation

$\bar X_{1}=164$ represent the mean for the sample 1

$\bar X_{2}=159$ represent the mean for the sample 2

$\sigma_{1}=12.5$ represent the population standard deviation for the sample 1

$s_{2}=9.25$ represent the population standard deviation for the sample B2

$n_{1}=35$ sample size selected 1

$n_{2}=30$ sample size selected 2

$\alpha=0.05$ 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 expenditure of households in City 1 is more than that of households in City 2, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{0}\leq 0$

Alternative hypothesis: $\mu_{1}-\mu_{2}>0$

We know the population deviations, so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{(\bar X_{1}-\bar X_{2})-0}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (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".

Standard error

The standard error on this case is given by:

$SE=\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}$

Replacing the values that we have we got:

$SE=\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}=2.705$

b. 2.70

Calculate the statistic

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

$t=\frac{(164-159)-0}{\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}}=1.850$

P-value

Since is a one side right tailed test the p value would be:

$p_v =P(Z>1.85)=0.032$

b. 0.03

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

a. We can reject H(0) in favor of H(a)

4 0

2 years ago

7/9 in simplest form

ozzi

Find the GCD (or HCF) of numerator and denominator
GCD of 7 and 9 is 1Divide both the numerator and denominator by the GCD
(7/1)/(9/1)Reduced fraction: 7/9

8 0

3 years ago

Read 2 more answers

How many one thirds are in three fifths

drek231 [11]

3/5 divided by 1/3 is 9/5 or 1 4/5
Therefore the answer is 1 and 4/5

7 0

3 years ago

Justin is on a road trip. Over the past two days, he’s driven a total distance of 504 miles at an average speed of 56 miles/hour

irakobra [83]

Recall d = rt, distance = rate * time.

now, he has a speed rate of 56 mph for a distance of 504

$\bf d=rt\implies 504=56t\implies \cfrac{504}{56}=t\implies \stackrel{hours}{9}=t$

so, at that speed the whole driving time is 9 hours then. Ok, he drove 2 hours today, that means he drove 7 yesterday, 9 - 2.

how many miles is it for 7 hours at 56mph? d = rt ---> d = 56 * 7

that many miles he drove yesterday.

8 0

2 years ago