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aleksley [76]
3 years ago
6

How many feet are in 2.5 miles if there are 1,760 yards in one mile (1 yd = 3 ft)

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

Answer:

1760 yards

1 mile = 1760 yards. The symbol is "mi".

Step-by-step explanation:

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat
wariber [46]

Answer:

Step-by-step explanation:

Given that :

population mean μ = 120

sample size n = 37

sample mean x = 111

standard deviation = 21

The null hypothesis and the alternative hypothesis can be computed as:

The null hypothesis:

\mathbf{ H_o: \mu = 120 }

The alternative hypothesis:

\mathbf{ H_o: \mu \neq 120 }

Since this test is two-tailed,  the value for the test statistics can be computed as:

z = \dfrac{\overline x - \mu}{\dfrac{\sigma }{\sqrt{n}}}

z = \dfrac{111 - 120}{\dfrac{21}{\sqrt{37}}}

z = \dfrac{-9}{\dfrac{21}{6.08}}

z = -2.605

z = -2.61

Since this is a two-tailed test

P-value = 2(z < -2.61)

From the z table;

P-value = 2(0.0045)

P -value = 0.009

Decision rule: To reject the null hypothesis if the p-value is lesser than the level of significance

Conclusion: We reject the null hypothesis since the p-value is lesser than the level of significance. Thus, there is sufficient evidence to conclude that the average breaking distance differs from 120 feet.

7 0
3 years ago
Different cereals are randomly selected and the sugar content in grams of sugar per grams of cereal are obtained. Use a .05 sign
Elanso [62]

Answer:

Step-by-step explanation:

Hello!

X: content of sugar of a sample of cereal.

Data set:

0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43

n= 16

\frac{}{X}= 0.295g

S= 0.17g

You have to test if the mean sugar content is less than 0.3g

H₀: μ ≥ 0.3

H₁: μ < 0.3

α: 0.05

Assuming that the variable has a normal distribution, you have to conduct a t test:

t= \frac{\frac{}{X}-Mu }{\frac{S}{\sqrt{n} } } ~~t_{n-1}

t_{H_0}= \frac{0.295-0.30}{\frac{0.17}{\sqrt{16} } } = -0.12

p-value: 0.4533

The p-value is greater than α, the decision is to not reject the null hypothesis.

At a 5% significance level the decision is to not reject the null hypothesis. You can conclude that the average sugar content of the cereal is equal or greater than 0.3g of sugar per gram of cereal.

I hope this helps!

7 0
3 years ago
Alice and Bob both go to a party which starts at $5:00$. Each of them arrives at a random time between $5:00$ and $6:00$. What i
faltersainse [42]

The probability comes out to be 9/32.

Deducing Arrival Time Possibility

All the possible arrival times by Alice and Bob, in minutes after 5 PM, is constrained by the values of given values of x and y,

x = 0, y = 0, x = 60, y = 60.

Here, let the values of x represent how many minutes after 5 PM Alice arrives at the party.

Let the y values represent the time in minutes that Bob arrives at the party after 5 PM.

Calculating the Required Probability

The times that concern us, however, are obtained by the following probability function,

x + y ≤ 45.

And x = 0, y = 0, and x + y ≤ 45 define the constraints of this probability function. Thus the perimeter of such a graph will be given as,

(45² / 2) = 1012.5 square units

Since the total area of the various arrival times is 60 x 60, or 3600 square units, the probability that Alice and Bob will arrive together after 5 o'clock in the evening in less than 45 minutes is therefore = 1012.5 / 3600 = 9/32

Learn more about probability here:

brainly.com/question/11234923

#SPJ4

3 0
2 years ago
Someone please help
Nookie1986 [14]

Answer:

<D=<N

Step-by-step explanation:

Corresponding angle, both in third digit, others are in different digits.

PLS GIVE BRAINLIEST

3 0
3 years ago
Read 2 more answers
I need help and please explain to me how you got the answer
maksim [4K]

Answer:

B

Explanation:

7 0
2 years ago
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