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3 years ago

The local business will donate $5.00 for every 10 tickets

Mathematics

1 answer:

motikmotik3 years ago

3 0

Answer:

student B is correct

Step-by-step explanation:

we know that 5 dollars will be donated for every 10 tickets sold. so we know that y is dollars donated so if we plug it in, we have 5 =_x . and we know that x represents tickets sold so 10 tickets are sold for 5 dollars donated so now we have 5 = _×10 and now we just fill in the blank, 1/2 times 10 equals 5 so student b is correct

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Given the following points, write the equation of the line that goes through them. ( -12,56), (0,8), and (8,-24).

BaLLatris [955]

Answer:

$y=-4x+8$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the data

(0,8), and (8,-24).

substitute

$m=\frac{-24-8}{8-0}$

$m=\frac{-32}{8}$

$m=-4$

step 2

Find the equation of he line in slope intercept form

$y=mx+b$

we have

$m=-4$

$b=8$ ----> the y-intercept is given

substitute

$y=-4x+8$

8 0

3 years ago

15 3/8+756-<br> What is the answer

evablogger [386]

Answer: 771 3/8

Step-by-step explanation:

15 3/8+756

we can apply the assosiative propery and do 15+756+3/8

so 15+756= 771

so finally you do 771+3/8=771 3/8

8 0

3 years ago

An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry ou

Katyanochek1 [597]

Answer:

$t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17$

$p_v =P(t_{(5)}$

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

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

Step-by-step explanation:

Data given and notation

The mean and sample deviation can be calculated from the following formulas:

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)}{n-1}}$

$\bar X=29.35$ represent the sample mean

$s=1.365$ represent the sample standard deviation

$n=6$ sample size

$\mu_o =30$ represent the value that we want to test

$\alpha=0.05$ 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 true mean is lower than 30 or no, the system of hypothesis are :

Null hypothesis: $\mu \geq 30$

Alternative hypothesis: $\mu < 30$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (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:

$t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17$

P-value

We need to calculate the degrees of freedom first given by:

$df=n-1=6-1=5$

Since is a one-side left tailed test the p value would given by:

$p_v =P(t_{(5)}$

Conclusion

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

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

5 0

2 years ago

What is Mary's location if she travels 3 units left and 4 units up from (5, 0)?

Novosadov [1.4K]

Answer:

here is the right answer

C- (2,4)

7 0

2 years ago

HELP ME PLS!!! help me if you see this pls.

Alex Ar [27]

I think it would be A because if you multiply the square by a 30 thinking there all the same space between it will give u 120 square yards