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Nataly_w [17]
3 years ago
14

In 2003, the average combined SAT score (math and verbal) for college-bound students in the United States was 1026. Suppose that

approximately 45% of all high school graduates took this test and that 100 high school graduates are randomly selected from among all high school grads in the United States. Which of the following random variables has a distribution that can be approximated by a binomial distribution? Whenever possible, give the values for n and p.
a. The number of students who took the SAT
b. The scores of the 100 students in the sample
c. The number of students in the sample who scored above average on the SAT
d. The amount of time required by each student to complete the SAT
e. The number of female high school grads in the sample
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer:

The random variables which has a distribution that can be approximated by a binomial distribution is:

c. The number of students in the sample who scored above average on the SAT.

Step-by-step explanation:

The binomial distribution in this scenario will be between the number of students in the sample who scored below average on the SAT and the number of students who scored above average.  Variables that have a binomial distribution must meet these four conditions:

1: The observed number of students who sat for the SAT 'n' is not variable.  

2: Each student's score (observation) is purely independent of each other, either above or below average scores.  

3: Each student's score (observation) shows one of the two outcomes ("success" or "failure").  Those below average are "failures."  Those above average are "successes."

4: The outcome probability of "success" 'p' for each student is the same.

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mariarad [96]

Answer:  -  Just a minus sign

Subtracting a positive is subtraction.

<h3>The - changes the second (+)  to a negativ </h3>

Step-by-step explanation:

Perhaps tthe point of this question would br to contrast it with

(+)-(-)  becomes +

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4 0
3 years ago
Helen rolls a dice and flips a coin.<br> Calculate the probability that she will get a 4 and a tail.
Rom4ik [11]

Answer:

1/12

Step-by-step explanation:

The probability that Helen will roll a 4 is 1/6 the probability that she will get tails is 1/2. Multiply those two events together to find the probability of P(A and B)

5 0
3 years ago
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With food prices becoming a great issue in the world; wheat yields are even more important. Some of the highest yielding dry lan
Rzqust [24]

Answer:

Option E) 61.6

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100 bushels per acre

Standard Deviation, σ = 30 bushels per acre

We assume that the distribution of yield is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X>x) = 0.90

We have to find the value of x such that the probability is 0.90

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 100}{30})=0.90  

= 1 -P( z \leq \displaystyle\frac{x - 100}{30})=0.90  

=P( z \leq \displaystyle\frac{x - 100}{30})=0.10  

Calculation the value from standard normal table, we have,  

P(z

\displaystyle\frac{x - 100}{30} = -1.282\\x = 61.55 \approx 61.6  

Hence, the yield of 61.6 bushels per acre or more would save the seed.

7 0
3 years ago
Solve for x. 7(x - 3) = 4(x + 5) x =1/11 x =1/3 x =41/11 x =41/3
marin [14]
To solve for the x, distribute first the numerical coefficients to the terms on the parentheses. This becomes,
   
                                          7x - 21 = 4x + 20

Transpose all the terms with x and the constant on either sides of the equation,
 
                                           7x - 4x = 20 + 21
  
                                        3x = 41   ;    x = 41 / 3

Thus, the answer is x = 41/3 which is fourth among the choices. 

6 0
4 years ago
The variable z is directly proportional to x, and inversely proportional to y. When x is 14 and y is 10, z has the value 26.6.
AysviL [449]

Answer:

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in one variable will cause a corresponding increase in the other variable.

If two variables are inversely proportional, it means that an increase in one variable will cause a corresponding decrease in the other variable.

The variable z is directly proportional to x, and inversely proportional to y. If we introduce a constant k, the equation would be

z = kx/y

When x is 14 and y is 10, z has the value 26.6. It means that

26.6 = 14k/10

Cross multiplying, it becomes

26.6 × 10 = 14k

266 = 14k

k = 266/14

k = 19

The equation becomes

z = 19x/y

When x = 24, and y = 15, the value of z would be

z = 19 × 24/15

z = 30.4

3 0
4 years ago
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