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adell [148]
3 years ago
9

Diane must choose a number between 61 and 107 that is a multiple of 4,7, and 14 . Write all the numbers that she could choose.

Mathematics
1 answer:
Gwar [14]3 years ago
7 0

Answer:

84

Step-by-step explanation:

only three number are a multiple of 14

14 * 5 = 70

14 * 6 = 84

14 * 7 = 98

neither 70 nor 98 is a multiple of 4

only 84 is a multiple of 4, 7 and 14

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What would be the expression after distributing, 4(x+7)?
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4x+28

Step-by-step explanation:

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3 years ago
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Evaluate. 2/3 - 1/6 <br> Please show an explanation.
Scorpion4ik [409]

Answer:

1/2

Step-by-step explanation:

2/3 - 1/6

Get a common denominator of 6

2/3 *2/2 - 1/6

4/6 - 1/6

3/6

Simplify

1/2

4 0
3 years ago
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Can anyone help me with the answer to this please?
stiks02 [169]

Answer:

Step-by-step explanation:

To find the inverse function switch variables out and solve for y

If

y=(x+3)/x swap variables to get

(y+3)/y=x then solve for y

y+3=yx

y-yx+3=0

y-yx=-3

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8 0
2 years ago
Solve the equation of exponential decay. The population of a city is expected to be 440,000 in 2020. This is a decline of 12% fr
DIA [1.3K]

Answer:

about 340,000

Step-by-step explanation:

In 10 years, the population dropped to 0.88 of what it was in 2010. At the same rate, in 20 more years, it will drop to 0.88² of what it was in 2020:

2040 population = 440,000·0.88² ≈ 340,000

5 0
3 years ago
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Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take
Ipatiy [6.2K]

Answer:

a) r = 0.974

b) Critical value = 0.602

Step-by-step explanation:

Given - Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below

Test A | 64 48 51 59 60 43 41 42 35 50 45

Test B |  91 68 80 92 91 67 65 67 56 78 71

To find - (a) What is the value of the linear coefficient r ?

             (b) Assuming a 0.05 level of significance, what is the critical value ?

Proof -

A)

r = 0.974

B)

Critical Values for the Correlation Coefficient

n       alpha = .05          alpha = .01

4           0.95                       0.99

5           0.878                     0.959

6           0.811                       0.917

7           0.754                      0.875

8           0.707                      0.834

9           0.666                      0.798

10          0.632                      0.765

11           0.602                      0.735

12          0.576                       0.708

13          0.553                       0.684

14           0.532                       0.661

So,

Critical r = 0.602 for n = 11 and alpha = 0.05

6 0
2 years ago
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