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yarga [219]
3 years ago
9

If 3/7 of Z is 42, what is 5/7 of Z?

Mathematics
2 answers:
yan [13]3 years ago
6 0

Answer:

70

Step-by-step explanation:

convert the decimal & solve for Z.

(3/7)Z = 42

(0.4286)Z = 42

Z = 98

Now,

(5/7)Z = ?

putting the value of Z

(0.714) (98) = 70

Anastasy [175]3 years ago
3 0

Answer:

x = 70

Step-by-step explanation:

First to make the equation easy, divide 42 by 3 to get what 1/7 of Z equals.

42 / 3 = 14

Now to get 5/7 of Z, just multiply 14 by 5.

14 x 5 = 70

x = 70

Hope this helped.

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27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 47 college students are randomly sele
scoray [572]

Answer:

0.12995

0.47508

0.0841

0.738

Step-by-step explanation:

Given that:

Percentage of STEM (p) = 27% = 0.27

Sample size (n) = 47

Using Normal approximation :

Mean (m) = n*p = 47 * 0.27 = 12.69

Standard deviation (s) = √(n*p*q)

q = 1 - p = 1 - 0.27 = 0.73

Standard deviation (s) = √(47*0.27*0.73) = 3.04

a. Exactly 13 of them major in STEM.

P(12.5 < x < 13.5)

USing the z formula :

(x - m) / s

(12.5 - 12.69) / 3.04 < x (13.5 - 12.69) / 3.04

-0.0625 < z < 0.2664

Using the z probability calculator:

P(Z < - 0.0625) = 0.47508

P(Z < 0.2664) = 0.60503

0.60503 - 0.47508

= 0.12995

b. At most 12 of them major in STEM.

P(X ≤ 12.5)

Zscore = (x - m) / s

Zscore = (12.5 - 12.69) / 3.04

Zscore = −0.0625

P(Z ≤ - 0.0625) = 0.47508

c. At least 9 of them major in STEM.

P(X ≥ 8.5)

Zscore = (x - m) / s

Zscore = (8.5 - 12.69) / 3.04

Zscore = −1.378

P(Z ≤ - 1.378) = 0.0841

d. Between 8 and 15 (including 8 and 15) of them major in STEM.

(8.5 - 12.69) / 3.04 < x (15.5 - 12.69) / 3.04

-1.378 ≤ z ≤ 0.924

Using the z probability calculator:

P(Z ≤ 0.924) = 0.82226

P(Z ≤ - 1.378) = 0.084102

0.82226 - 0.084102

= 0.738

5 0
3 years ago
3 fraction equivalent to 4/7
GalinKa [24]

Answer: 8/14, 12/21, and 288/504

Step-by-step explanation: To find 3 fractions that are equivalent to 4/7, we either multiply or divide the numerator and denominator by the same number.

If we multiply 4/7 by 2 in both the numerator and denominator, we get the equivalent fraction 8/14.

If we multiply 4/7 by 3 in both the numerator and denominator, we get the equivalent fraction 12/21.

If we multiply 4/7 by 72 in both the numerator and denominator, we get the equivalent fraction 288/504.

These are just 3 possible answers.

4 0
3 years ago
Read 2 more answers
What is 1/2 divided by 5/6
aleksley [76]

Answer:

3/5

Step-by-step explanation:

1/2 ÷ 5/6 = 1/2 × 6/5 = 6/10 = 3/5

8 0
3 years ago
Read 2 more answers
POSSIBLE POINTS: 6.67
Kisachek [45]
The answer is d because there is nothing before 1/4
8 0
2 years ago
What are the domain and range of y=-5/6(x+2)^2-8?
marusya05 [52]

Answer:

Domain: allrealnumbers

Range: f(x) <= -8

Step-by-step explanation:

This equation shows that this shape is a parabola that is opening downwards (because of the negative in the -5/6)

This means it has a highest point. The x+2 means the curve is shifted/slid/tranlated to the right 2 units and the -8 at the end shows that it is slid/shifted/translated down 8 units. So the curve only exists starting from -8 and going down. That is the range f(x) <= -8

All upward and downward opening parabolas have a domain of all real numbers.

4 0
2 years ago
Read 2 more answers
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