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2 years ago

Marisa can read 18 pages in 20 minutes. At that rate, how many hours will it take her to read an 837-page book?

1 answer:

5 0

Use directly proportional.
y=kx
20=18k
k=18/20
k=0.9

y=0.9 x 837
y=753.3

753.3 is minutes so change to hours is
753/60=12.55
12.55+0.30=12.85
12.85=13.25hours

Answer: 13.25hours

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A jar contains 10 blue marbles, 4 red marbles, and 8 white marbles. What are the odds of drawing a blue marble from the bag?

lubasha [3.4K]

Answer:

10/22

10 blue marbles/22 total marbles

(simplified = 5/11)

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3 years ago

X^2 + 5x - 24 = 0 How do I solve by factoring

tiny-mole [99]

Answer:

x = -8 or x = 3

Step-by-step explanation:

To factor ax² + bx + c, use AC method.

a times c is 1 × -24 = -24.

Factors of ac (-24) that add up to b (5) are 8 and -3.

Divide by a and reduce: 8/1 and -3/1.

Therefore, the factors are x + 8 and x − 3.

x² + 5x − 24 = 0

(x + 8) (x − 3) = 0

x = -8 or 3

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3 years ago

Tell whether the triangle with the given side lengths is a right triangle

RSB [31]

No it’s not a right triangle

8 0

4 years ago

Read 2 more answers

The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

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

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

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3 years ago

Average daily temperature as a function of the day of the year. Is it continous or discontinous function? Why?

S_A_V [24]

Answer:

continous

Step-by-step explanation:

the seasons are based on the rotation and angle of earth

3 0

3 years ago