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SSSSS [86.1K]
3 years ago
13

Team tool bella canoed 15 3/4 miles in 5/4 hours. What was their average rate of speed in mph ​

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0

Average speed is 12.6 miles per hour

<em><u>Solution:</u></em>

Given that team tool bella canoed 15\frac{3}{4} miles in \frac{5}{4} hours

To find: average rate of speed in miles per hour

From given information,

distance = 15\frac{3}{4} \text{ miles } = \frac{15 \times 4+3}{4} = \frac{63}{4} \text{ miles}

time = \frac{5}{4} \text{ hours}

To find the speed we use the below formula,

speed = \frac{distance}{time}

Substituting the given values we get,

speed = \frac{\frac{63}{4}}{\frac{5}{4}}\\\\speed = \frac{63}{4} \times \frac{4}{5} = \frac{63}{5} = 12.6

Thus average speed is 12.6 miles per hour

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In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6965 subjects randomly sele
vladimir1956 [14]

The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>

The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:

\mathbf{H_o :p =0.2}

\mathbf{H_i:p < 0.2}

Given that:
Sample size (n) = 6965

Sample proportion \mathbf{\hat p = \dfrac{x}{n} = \dfrac{1302}{6965} \sim0.1869}

The test statistics for this data can be computed as:

\mathbf{z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}}

\mathbf{z = \dfrac{0.1869 -0.2}{\sqrt{\dfrac{0.2(1-0.2)}{6965}}}}

\mathbf{z = \dfrac{-0.0131}{0.0047929}}

z = -2.73

From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.

Hence, the p-value for the test statistics can be computed as:

P-value = P(Z ≤ z)

P-value = P(Z ≤ - 2.73)

By using the Excel function =NORMDIST (-2.73)

P-value = 0.00317

P-value ≅ 0.003

Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

Learn more about hypothesis testing here:

brainly.com/question/15980493

#SPJ1

3 0
2 years ago
What is the perimeter of khgj?
kaheart [24]

Answer:

  58 in

Step-by-step explanation:

The fact that the rectangles are congruent means both have a length of 18 in and a width of 11 in. The perimeter is ...

  P = 2(L +W)

  P = 2(18 in + 11 in) = 2(29 in)

  P = 58 in

The perimeter of KHGJ is 58 inches.

3 0
3 years ago
Victor has a credit card with an apr of 13.66%, compounded monthly. he currently owes a balance of $1,349.34. assuming that vict
scoray [572]

Answer:

$1545.65.

Step-by-step explanation:

We have been given that Victor has a credit card with an APR of 13.66%, compounded monthly. He currently owes a balance of $1,349.34.

To solve our given problem we will use compound interest formula.

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount after t years,

P = Principal amount,

r = Interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given interest rate in decimal form. 13.66=\frac{13.66}{100}=0.1366

Upon substituting our given values in compound interest formula we will get,

A=1,349.34(1+\frac{0.1366}{12})^{12*1

A=1,349.34(1+0.011383333)^{12

A=1.349.34(1.011383333)

A=1,349.34*1.145485275522

A=1,545.64910167397 ≈ $1545.65

Therefore, Victor will owe an amount of $1545.65 after one year.

3 0
2 years ago
I need help with these................
larisa [96]

Answer:

(5,4)

:))))))))))))))))

3 0
3 years ago
Upper Deck $9.25
Elena-2011 [213]

Answer:

13

Step-by-step explanation:

Purchase 2 upper deck tickets:

\$100-(2*\$9.25)=\$81.50

You can then buy 13 right field bleacher tickets before you reach deficit:

\$81.50/\$6.00=13.583

Because you cannot purchase a .583 of a ticket, the most you can buy is 13.

8 0
3 years ago
Read 2 more answers
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