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Morgarella [4.7K]
3 years ago
14

Future scientists: Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A

research group reported that 28% of freshmen entering college in a recent year planned to major in a STEM discipline. A random sample of 90 0 freshmen is selected. Round the answer to at least four decimal places.
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

The probability that the proportion of freshmen in the sample of 90 who plan to major in a STEM discipline is between 0.29 and 0.37 is P=0.0166.

Step-by-step explanation:

<em>The question is incomplete. You have to add:</em>

<em>Find the probability that the proportion of freshmen in the sample of 90 who plan to major in a STEM discipline is between 0.29 and 0.37.</em>

We have a sample of n=90 out of a population with a proportion p=0.28.

We have to calculate the probability that the sample has a proportion between 0.29 and 0.37.

First, we calculate the standard deviation of the sampling distribution:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.28*0.72}{90}}=\sqrt{0.0024}=0.047

We can now calculate the z-score for 0.29 and 0.37

z_1=\dfrac{p_1-p}{\sigma}=\dfrac{0.29-0.28}{0.0047}=\dfrac{0.01}{0.0047}=2.13\\\\\\z_2=\dfrac{p_2-p}{\sigma}=\dfrac{0.37-0.28}{0.0047}=\dfrac{0.09}{0.0047}=19.15

Now, we can calculate the probability as:

P(0.29

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ABCD is a trapezium.
lisabon 2012 [21]

The length of BC is 4.674 m

<u>Explanation:</u>

Given:

Angle A = angle B = 90°

AD = 2.1 m

AB = 1.9 m

CD= 3.2 m

An image is inserted for the reference

According to the figure,

a is the base

b is the height

c is the hypotenuse

Using pythagoras theorm:

a² + b² = c²

a² + (1.9)² = (3.2)²

a² + 3.61 = 10.24

a² = 6.63

a = 2.574

BC = 2.1 + 2.574

BC = 4.674m

Therefore, the length of BC is 4.674 m

7 0
3 years ago
A news report suggested that an adult should drink a minimum of 4 pints of water per day.
spin [16.1K]

9514 1404 393

Answer:

  448

Step-by-step explanation:

(4 pt/da)×(7 da/wk)×(16 oz/pt) = 448 oz/wk

That would be 448 fluid ounces per week.

3 0
3 years ago
Write an equation that can be used to answer each question
Ira Lisetskai [31]

1. (70 - 44) / 2

2. (45.00 - 25.50) / 6

3. (75 - 39) / 3

4. (90 - 30 +10) / 3

5. (100- 30+10) / 10

6. (50 - 5) / 10


PS: / means divide or division. also remember PEMDAS


Hope this helped you (;      

4 0
3 years ago
If b &lt; 0 and a/b &gt; c/b, then what is the relationship between a and c?
serg [7]

Answer:

  • a < c

Step-by-step explanation:

<u>Given inequality:</u>

  • a/b > c/b

<u>Since b is negative, when multiplied by b, the inequality changes to opposite direction:</u>

  • b(a/b) < b(c/b)
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3 0
3 years ago
Suppose a die is tossed 5 times. what is the probability of getting exactly 2 fours?
Tasya [4]

Answer:

the probability of getting exactly 2 fours is 0.16

Step-by-step explanation:

The probability of obtaining a number that is four = ¹/₆

The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆

The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways

If the die is tossed five times, the probability of the events is calculated as;

P = 10 x (¹/₆)² x (⁵/₆)³

P = 10 x (¹/₃₆) x  (¹²⁵/₂₁₆)

P = 10 x 0.02778 x 0.5787

P = 0.16

Therefore, the probability of getting exactly 2 fours is 0.16

7 0
3 years ago
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