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Rudik
10 days ago
7

Jane is one of 50 students to take a standardized math test that includes 100 multiple choice questions. If she has the highest

score of any student with a raw score of 87, what is her percentile score?
Mathematics
1 answer:
Svet_ta [12.3K]10 days ago
8 0
Response: 87%
Solution:
87 correct answers out of 100 = 87/100 = 0.87 = (convert to percentage by shifting the decimal place two positions to the right) 87%
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John averages 58 words per minute on a typing test with a standard deviation of 11 words per minute. Suppose John's words per mi
Zina [12018]

Answer:

When x = 72, the z score is:

z = \frac{72-58}{11}= 1.273

The average is 58

This z-score indicates that x= 72 is 1.273 standard deviations above the mean.

Step-by-step explanation:

Let’s consider the following details for this question: John's typing speed on a test is assumed to follow a normal distribution. Let X denote the number of words he can type in a minute. Hence, X ~ N(58, 11). It’s important to round the result to three decimal points if needed.

Provide your response below for words per minute on a typing test conducted on Sunday. The z score when x = 72 is

In this scenario, we acknowledge that the variable under consideration is represented by a normal distribution:

X \sim N (\mu= 58, \sigma=11)

The formula for the z score is as follows:

z = \frac{X -\mu}{\sigma}

By substituting values, we derive:

z = \frac{72-58}{11}= 1.273

The mean is 58

This z-score indicates that x= 72 is 1.273 standard deviations higher than the mean.

8 0
1 month ago
If BCD ~ GEF, find BD
PIT_PIT [11945]

Response:

BD equals 19

Detailed breakdown:

4 0
1 month ago
A company buys pens at the rate of $7.50 per box for the first 10 boxes, $5.50 per box for the next 10 boxes, and $4.50 per box
tester [11942]

Let's start by calculating the cost of the first 10 boxes, which totals $75, and the next 10 boxes cost $55.

Together, these 20 boxes amount to $130 spent. With $18 remaining, you can purchase 4 more boxes since 18 divided by 4.5 equals 4.

Therefore, the maximum number of boxes you can buy with $148 is 24.

4 0
1 month ago
Tim answered all the questions on his math test but got 101010 answers wrong. He received 444 points for every correct answer, a
zzz [11880]
A)
4(q - 10) = 76..... Tim earned 4 points for each correct answer, totaling 76 points. He got 10 answers right less than the total number of questions on the test.

b)
q = 10 + 76/4
q = 29

Thus, the overall number of questions on Tim's math test amounted to 29.
4 0
1 month ago
Read 2 more answers
The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop
lawyer [12140]

Answer:

a. \frac{1}{15}

b. \frac{2}{5}

c. \frac{14}{15}

d. \frac{8}{15}

Step-by-step explanation:

There are four desktop computers and two laptops.

On a specific day, we will set up 2 of these computers.

To find:

a. What is the probability that both selected computers are laptops?

b. What is the probability that both computers are desktops?

c. What is the probability that at least one computer is a desktop?

d. What is the probability that at least one of each type of computer is included?

Solution:

Using the probability formula for event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

a. The number of successful outcomes for both computers being laptops = _2C_2 = 1

Total possible outcomes = 15

The needed probability is \frac{1}{15}.

b. The successful outcomes for both being desktop computers = _4C_2=6

Total possible outcomes = 15

The required probability is \frac{6}{15} = \frac{2}{5}.

c. For at least one desktop:

Two scenarios exist:

1. 1 desktop and 1 laptop:

Successful outcomes = _2C_1\times _4C_1 = 8

2. Both are desktops:

Successful outcomes = _4C_2=6

Total successful outcomes = 8 + 6 = 14

The needed probability is \frac{14}{15}.

d. 1 desktop and 1 laptop:

Successful outcomes = _2C_1\times _4C_1 = 8

Total outcomes = 15

The required probability is \frac{8}{15}.

8 0
1 month ago
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