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Alex17521 [72]
3 years ago
11

Write the simplest form of this ratio and its method. 2/3 : 3/2 : 5/8

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:

16 : 36 : 15

Step-by-step explanation:

2/3 : 3/2 : 5/8

multiply each term by the lowest common denominator: 24

16 : 36 : 15

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F(x) = x² + 3x, g(x) = 5x + 2, (f - g)(3) = ?
ad-work [718]

Answer:

1

Step-by-step explanation:

f(x) = x² + 3x

g(x) = 5x + 2

f(3) = 3² + 3 x 3

f(3) = 9 + 9

f(3) = 18

g(3) = 5(3) + 2

g(3) = 15 + 2

g(3) = 17

(f - g)(3) = 18 - 17

(f - g)(3) = 1.

6 0
1 year ago
Suppose PR = 54, solve for QR
kenny6666 [7]

We will use the segment addition postulate.

PQ + QR = PR

4x - 1 + 3x - 1 = 54

7x - 2 = 54

7x = 56

x = 8

So QR is 3(8) - 1 or 24 - 1 which is 23.

8 0
3 years ago
Read 2 more answers
A professor uses a video camera to record the motion of an object falling from a height of 250 meters. The function f(x) = –5x2
Romashka [77]

Answer:

The answer is approximately 5.09 seconds.

Step-by-step explanation:

The given equation is:

f(x) = -5x^2 + 250

To find the elapsed time, x, set the equation equal to 120 and solve for x:

-5x^2 + 250 = 120

-5x^2 = -130

x^2 = -130/-5 = 26

x = Sqrt(26) = 5.09 seconds.

8 0
3 years ago
Read 2 more answers
What is 3 3/5 x (-8 1/3)=
Aliun [14]

Answer:

Step-by-step explanation:

Convert these mixed fractions to improper fractions.

3 3/5 = 18/5

-8 1/3 = -25/3

Now, it is easier to multiply them. Multiply the numerators and the denominators.

<u>18</u>  x  <u> </u> <u>25</u>   =   <u>450</u>

5          3           15

Simplify the final answer by dividing 450 ÷ 15, which is 30.

4 0
3 years ago
A poll asked adults in a certain country whether immigration was a good thing or a bad thing for the country. Out of 10781078 ​r
Shkiper50 [21]
<h2>Answer with explanation:</h2><h2></h2>

a. Given : Sample size : n= 1078

The number of adults said it was a good thing= 659

Then , the proportion of success : p=\dfrac{659}{1078}\approx0.611

b. The conditions to determine whether you can apply the CLT to find a confidence interval are :-

  • The data must be randomly sampled.
  • The sample size must be large (n>30).
  • The sample values should be independent of each other.

Since the given data satisfies all the above  conditions , so we can apply the CLT to find a confidence interval.

c. Given : Significance level : 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

The confidence interval for population proportion is given by :-

p\ \pm\ z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.611\pm (1.96)\sqrt{\dfrac{(0.611)(1-0.611)}{1078}}\approx0.611\pm0.029\\\\=(0.611-0.029,0.611+0.029)\\\\=(0.582, 0.64)

Hence, a​ 95% confidence interval for the proportion who believe immigration is a good thing is (0.582, 0.64).

3 0
3 years ago
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