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3 years ago

Use proportions to solve each of the problems below. Homework Help ✎

Mathematics

1 answer:

Yakvenalex [24]3 years ago

7 0

Answer:

Question 2:

45 pages 700 pages

-------------- = -------------

1 hour X hours

1 x 700= 700

700/ 45= 15 and 5/9

15 and 5/9 hours

Question 3:

$\frac{250}{3} \\$ = 88.33 lbs

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An after school music program has 15 out 50 students practicing. Write 15/50 (15 over 50) as a decimal and as a percent.

ValentinkaMS [17]

15/50 * 2/2 = 30/100
Now you can easily see decimal and percent form

Decimal: 0.30
Percent: 30 percent

7 0

3 years ago

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Maya can run 18 miles in 3 hours, and she can run can bike 18 miles in 2 hours. What is maya’s running speed (in mph)

viva [34]

Answer:

6 mph

Step-by-step explanation:

Speed = Distance/Time. Distance is 18, time is 3. So 18/3, or 6.

Hope this helps!

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3 years ago

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Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply

Charra [1.4K]

Answer:

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

(x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

x(x⁴ +4) = 1(1⁴ +4) = 5

3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0

2 years ago

Lucy is using a one-sample t ‑test based on a simple random sample of size n = 22 to test the null hypothesis H 0 : μ = 16.000 c

slega [8]

Answer:

The value of test statistic is 1.338

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 16.000

Sample mean, $\bar{x}$ = 16.218

Sample size, n = 22

Alpha, α = 0.05

Sample standard deviation, s = 0.764

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 16.000\text{ cm}\\H_A: \mu < 16.000\text{ cm}$

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

Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{16.218 - 16.000}{\frac{0.764}{\sqrt{22}} } = 1.338$

Thus, the value of test statistic is 1.338

4 0

4 years ago

Pls asap now<br> late thank you

allsm [11]

Answer:

using Pythagoras theorem

Step-by-step explanation:

it's option c

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2 years ago

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