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IrinaVladis [17]

2 years ago

6

If you run a 10 kilometer race in 43 minutes 30 seconds, what is your average time per mile? what is your average speed in miles

per hour?

1 answer:

PtichkaEL [24]2 years ago

3 0

<span>((10 / 1.61) / (43.5 / 60), 2), 'mph' # (distance in miles)/(time in hours) rounded to 2 places 8.57 mph</span>

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Write the equation of the line in fully simplified slope-intercept form.

tiny-mole [99]

Step-by-step explanation:

x= -7 y=0

x= -3 y =-6

y =mx+b

b=-7

-6= -3m -7

-3m = 1

m= -1/3

y= -x/3 -7

$y = - \frac{x}{3} - 7$

8 0

2 years ago

A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i

erma4kov [3.2K]

Answer:

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, $\bar{x}$ = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 29\\H_A: \mu > 29$

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) $z_{stat} > z_{critical}$ , we reject the null hypothesis and accept the alternate hypothesis and if $z_{stat} < z_{critical}$ , we accept the null hypothesis and reject the alternate hypothesis.

c) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37$

d) Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} < z_{critical}$

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

5 0

3 years ago

Let sets A and B be defined as follows.

VashaNatasha [74]

<h3>Given</h3>

Set A: A = {-26, -25, -24, -23, - 22, - 21}
Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}

<h3>(a) </h3>

<em />

<em>Cardinality means the number of elements in the set.</em>

Cardinality of the set A:

n(A) = 6, since we can count 6 elements.

Set B has even numbers between 6 and 20, both included:

B = {6, 8, 10, 12, 14, 16, 18, 20}

Then its cardinality is:

n(B) = 8

<h3>(b) </h3>

To solve this we need to compare the elements of sets A or B with numbers given:

-22 ∈ A, True ⇒ -22 is listed as element of A
6 ∈ B, True ⇒ 6 is listed as element of B
- 21 ∉ A, False ⇒ - 21 is listed as element of A
2 ∈ B, False ⇒ 2 is not listed as element of B

5 0

1 year ago

"Zachary invested $50 and was able to triple his money in two years. Kayla also began with $50 in investments, and was able to c

horsena [70]

To cube something means to take it by 3, when used in the sentance, 3 cubed it refers to 3^3 power which means 3*3*3 which equals 21. In this context I'm guessing that they mean 50^3 which would be $125,000.

Hope this helps!=)

3 0

2 years ago

The area of a regular octagon is 35 cm squared what is the area of a regular octagon with sides five times as long

KATRIN_1 [288]

The answer would be 875cm squared

7 0

2 years ago

Read 2 more answers