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2 years ago

3. Roger runs 8 miles per hour. He ran for h

Mathematics

1 answer:

kumpel [21]2 years ago

8 0

Answer:

8h

Step-by-step explanation:

8 miles per hour

h hours

plug in h for how many hours

8 divided by 6 is 1.3

1.3 hours to run 6 miles

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#23-6: The pool concession stand made $5,800 in June and $6,300 in July. What is the percent of increase in sales? Round the ans

katrin [286]

Answer:

8.6%

Step-by-step explanation:

To find the percent change, you will need to compute the positive difference and then divide the difference by the original (the older amount).

So the positive difference will be obtain by doing larger minus smaller:

6300

- 5800

-----------

500

The older amount was 5800.

So 500/5800 is the answer as a un-reduced fraction.

I'm going to reduce it by dividing top and bottom by 100:

500/5800 = 5/58

5/58 is the answer as a reduced fraction.

5 divided by 58 gives=0.086206897 in the calculator .

Approximately 0.0862 is the answer as a decimal.

To convert this to a percentage, multiply it by a 100:

8.62%

Rounded to the nearest tenths is 8.6%

-------------

So 5800+5800(.0862) should be pretty close to 6300 (not exactly though since we rounded).

5800+5800(.0862)=6299.96 using the calculator.

8 0

3 years ago

The model represents an equation. What value of x makes the equation true?

Slav-nsk [51]

Answer:

A) 29/8

Step-by-step explanation:

On the left side of the equals sign, we have five x's and nine -1's.

On the right side of the equals sign, we have three -x's and twenty 1's.

Both sides are equal, so:

5(x) + 9(-1) = 3(-x) + 20(1)

5x − 9 = -3x + 20

Add 3x to both sides.

8x − 9 = 20

Add 9 to both sides.

8x = 29

Divide both sides by 8.

x = 29/8

5 0

3 years ago

If c – a = b, which of the following statements is true?

IRINA_888 [86]

Answer:

D. b + a = c

Step-by-step explanation:

c – a = b

Add a to both sides.

c = b + a

b + a = c

Answer: D. b + a = c

5 0

3 years ago

Evaluate p+(-q)-2 where p = 3 and Q =5

Ad libitum [116K]

Answer:

-4

Step-by-step explanation:

3+(-5)-2

3+-5-2

3-7

=-4

4 0

3 years ago

The strength of paper used in the manufacturing of cardboard boxes (y) is related to percentage of hardwood concentration in the

Elena-2011 [213]

Answer:

At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.

P-value = 0.003.

Step-by-step explanation:

If we perform a regression analysis relating x and y, we get the best fitting line with equation:

$y=15.82x+92.9$

and a correlation coefficient r:

$r=0.693$

We have to test the hypothesis, where the alternative hypothesis claims that there is a relationship between these two variables, and the null hypothesis claiming there is no relationship (meaning that the correlation is not significantly different from 0).

This can be written as:

$H_0: \rho=0\\\\H_a:\rho\neq0$

where ρ is the population correlation coefficient for x and y.

The significance level is assumed to be 0.05.

The sample size is n=16.

The degrees of freedom are df=14.

$df=n-2=16-2=14$

The test statistic can be calculated as:

$t=\dfrac{r\sqrt{n-2}}{\sqrt{1-r^2}}=\dfrac{0.693\sqrt{14}}{\sqrt{1-(0.693)^2}}=\dfrac{2.593}{0.721}=3.597$

For a test statistic t=2.05 and 14 degrees of freedom, the P-value is calculated as:

$\text{P-value}=2\cdot P(t>3.597)=0.003$

The P-value (0.003) is smaller than the significance level (0.05), so the effect is significant enough.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.

3 0

2 years ago