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Dafna1 [17]
2 years ago
3

Twenty-nine percent of Americans say they are confident that passenger trips to the moon will occur in their lifetime. You rando

mly sample 200 Americans and ask if they believe passenger trips to the moon will occur in their lifetime. What is the probability that less than 25% of the people sampled will answer Yes to the question?
Mathematics
1 answer:
kipiarov [429]2 years ago
6 0

Answer: 0.3632

Step-by-step explanation:

Standard error of p = sqrt (0.29 x 0.71/200) = 0.032

z value corresponding to X=0.25 is

z = (0.29 - 0.25) / 0.032 = 1.25

The area under the standard normal curve left to z = 1.25 indicates the required probability = 0.3632

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a triangle has sides of 4 and 6 units. The measurement of the longest side is missing.Ted says that one possibility for the unkn
tester [92]
This is called the pythagorean theorem: a^2 + b^2 = c^2.
Basically, the sum of one side squared + the side of another side squared = the length of the longest side (or hypotenuse).

We have to do the following math:
4 * 4 = 16
6 * 6 = 36
16 + 36 = 52.

We know that 52 = c^2
So we have to \sqrt{c} to get 7.21

You do not agree with Ted. 

7 0
2 years ago
Zenaida is shopping and wants to purchase a $320 stereo system. The store is offering an incentive of 10 to 30 percent off when
lesantik [10]

The stereo system costs $256.

Step-by-step explanation:

Given:

Cost of the stereo system = $320.  

The discount Zenaida received = 20%.  

To Find:

Cost of the stereo system after the discount=?

Solution:

Step1:  Finding the discount amount:

Discount percentage =20

Discount amount = original cost × discount percent

Substituting the values,

\text { Discount amount }=320 \times 20 \%

\text { Discount amount }=320 \times \frac{20}{100}

\text { Discount amount }=320 \times \frac{1}{5}

\text { Discount amount }=320 \times 0.2

\text { Discount amount }=64

Step 2: Removing the discounted amount from the original price

Final cost of the stereo system =original cost of the stereo system –discount amount

Substituting the values we get,

Final cost=320-64

Final cost=256

Result:

Thus the cost of the stereo system after discount is $256

7 0
2 years ago
Read 2 more answers
Divide 794.1 by 7.61. Round off your answer to two decimal places. A. 104.35 B. 786.49 C. 95.83 D. 1,043.50
VikaD [51]
Answer: 
A. 104.35

Explanation: 
794.1 ÷ 7.61 = 104.34954 
Round off to two decimal places: 
104.349 
round 4 up to 5 because the next number is greater than 5: 
9 > 5 
So 
104.35
3 0
2 years ago
Read 2 more answers
Drag each expression to show whether it is equivalent to
Kazeer [188]

Answer:

We need to find which expressions are equivalent to 6(c+6), 6c+6 or neither.

6c+12: We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.

6c+12=+(c+2)

Therefore, this expression is equivalent to neither of the given expressions.

2(3c+3): We just need to apply the distributive property.

2(3c+3)=6c+6

Therefore, this expression is equivalen to 6c+6.

We use the same process to the other expressions.

(6c)+(6\times 6)=6c+36=6(c+6)

3c+6+3c=6c+6

6c+36=6(c+6)

(6+c)+(6+6)=c+18, equivalent to neither.

7 0
2 years ago
Un equipo de fútbol se conforma de cuatro líneas de jugadores: portero (9%), defensas (37%), medios (27%) y delanteros (27%), do
Tpy6a [65]

Answer:

According to the proble, the total number of goals are 1+11+15+23 = 50: 1 by the goalkeeper, 11 by defense, 15 by midfielders and 23 by strikers.

So, each probability can be found by using standard probabilities

P=\frac{events}{total outcomes}

<h3>(a) Defense</h3>

P=\frac{11}{50} \approx 0.22

Therefore, the defense has a probability of 22% of score that goal.

<h3>(b) Midfielders</h3>

P=\frac{15}{50} \approx 0.30

Therefore, midfielders have a probability of 30% of scoring that goal.

<h3>(c) Strikers.</h3>

P=\frac{23}{50} \approx 0.46

Therefore, strikers have a probability of 46% of scoring that goal.

3 0
2 years ago
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