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2 years ago

William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?

Mathematics

2 answers:

DiKsa [7]2 years ago

4 0

Answer:

731 miles

Step-by-step explanation:

To solve this, we can set up a proportion.

Let's name the number of miles he travels in 17 hours x for now.

8/344=17/x

Simplify 8/344

2/86=17/x

Cross multiply

86*17=2*x

2x=1462

Divide both sides by 2.

x=731

He would travel 731 miles in 17 hours.

erma4kov [3.2K]2 years ago

3 0

Answer:

731 miles

Step-by-step explanation:

Proportions:

344 miles ⇒ 8 hours

W miles ⇒ 17 hours

W = 344*17/8

W = 731

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Answer:

We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 5 minutes

Sample mean, $\bar{x}$ = 4.61 minutes

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 0.75 minutes

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 5\text{ minutes}\\H_A: \mu \neq 5\text{ minutes}$

We use two-tailed t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{4.61 - 5}{\frac{0.75}{\sqrt{15}} } = -2.0139$

c) Now, we calculate the p-value using the standard table.

P-value = 0.0638

d) Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.

Option a) Fail to reject the claim that the mean time is 5 minutes because the P-value is larger than 0.05.

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2 years ago

Factor the polynomial completely using the X method. x2 + 13x – 48 An x-method chart shows the product a c at the top of x and b

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Answer:

Step-by-step explanation:

The constant term of x^2 + 13x – 48 factors into either (3)(-16) or (-3)(16).

Note how 16 - 3 = 13, which is the coefficient of the middle term. Thus, the factors are

(x + 16)(x - 3) which is equivalent to x^2 + 16x - 3x - 48, or x^2 + 13x - 48.

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Step-by-step explanation:

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2 years ago

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A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was co

Firlakuza [10]

Answer:

Step-by-step explanation:

1) The z value was determined using a normal distribution table. From the normal distribution table, the corresponding z value for a 94% confidence interval is 1.88

The correct option is D

2) if 70% of all internet users experience e-mail fraud. It means that probability of success, p

p = 70/100 = 0.7

q = 1 - p = 1 - 0.7 = 0.3

n = number of selected users = 50

Mean, u = np = 50×0.7 = 35

Standard deviation, u = √npq = √50×0.7×0.3 = 3.24

x = number of internet users

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z = (x - u)/s

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P(x lesser than or equal to 25)

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2 years ago

3(x+y)=y, if (x,y) is a solution to the equation above and y cannot equal to zero what is the ratio x/y

irakobra [83]

*Given
3(x+y)=y
y is not equal to zero

*Solution

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,

3(x+y) = y
    3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

   3x = -2y

Dividing both sides of the equation by 3,

   x = (-2/3)y

Dividing both sides of the equation by y,

x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.

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