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Katena32 [7]
3 years ago
11

Help me with number 2 please!!!

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0
Simple interest formula:

i = Prt

where
i = interest earned
P = principal amount invested
r = interest rate
t = time

In this problem, we are looking for i.
P = $10,000
r = 3.5% = 0.035
t = 7 years

i = Prt

i = $10,000 * 0.035 * 7 = $2,450

The amount of interest earned in the 7 years is $2,450.
The interest is added to the principal amount that was invested, so after 7 years, David has $10,000 + $2,450 = $12,450

Answer: Choice H.
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Jason and Jenny are out on a lunch date. Jason gives Jenny a bouquet that has 4 roses, 3 carnations, and 4 orchids. They decide
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The total flowers is 4 + 3 + 4 = 11

4 roses + 3 carnations = 7

Probability of picking either a rose or a carnation = 7/11

4 0
3 years ago
Suppose that scores on a knowledge test are normally distributed with a mean of 60 and a standard deviation of 4.3. Scores on an
Sphinxa [80]

Question:

(c) Boris also took a logic test. His z-score on that test was +0.93 . Does this change the answer to which test Boris performed better on? Explain your answer using z-scores.

Answer:

The answers to the questions are;

(a) Based on the z score, Boris perform better on his aptitude test.

(b) Based on the z score, Callie perform better on his knowledge test .

(c) For Boris since +0.93 = z_{logic} >  z_{knowledge}  >  z_{aptitude}

Yes as Boris now performed best on the logic test.

Step-by-step explanation:

The z-score of a score is a measurement of the score withe respect to its distance from the mean as a factor of the standard deviation.

To solve the question, we note that we are required to find the z score as follows.

z score is given by z = \frac{x -\mu}{\sigma}

Where:

z = Standard score

x = Score

σ = Standard deviation

μ = Mean

(a) To find out which test did Boris performed better usin z score, we have

Boris scored a

57 on the knowledge test and

106 on the aptitude test

Therefore the z sore for the knowledge test is

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

Here

x = 57

μ = 60

σ = 4.3

Therefore

z_{knowledge} = \frac{57 -60}{4.3} = -3/4.3 = -30/43 = -0.6977

The z sore for Boris on the aptitude test is

Here

x = 106

μ = 110

σ = 7.1

z_{aptitude} = \frac{106 -110}{7.1} = -40/17 = -0.5634

Based on the z score, Boris perform better on the aptitude test as his z score is higher (on the number line), --0.5634, compared to the z score on the knowledge test , -0.6977

(b) For Callie we have

Callie scored a

63 on the knowledge test and

114 on the aptitude test

Therefore the z sore for the knowledge test is

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

Here

x = 63

μ = 60

σ = 4.3

Therefore

z_{knowledge} = \frac{63 -60}{4.3} = 3/4.3 = 30/43 = 0.6977

The z sore for Callie on the aptitude test is

Here

x = 114

μ = 110

σ = 7.1

z_{aptitude} = \frac{114 -110}{7.1} = 40/17 = 0.5634

Based on the z score, Callie perform better on the knowledge test as his z score is higher (on the number line), 0.6977, compared to the z score on the aptitude test , 0.5634.  

(c) If z_{logic}  = +0.93 then sinc for Boris z_{knowledge} = -0.6977 and

z_{aptitude}=  - 0.5634 then

z_{logic} >  z_{knowledge}  >  z_{aptitude}

Therefore Boris now performed best on the logic test.

6 0
2 years ago
Lonnie plans to join the gym. He must pay a $35 membership fee. He will
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Answer: 5

Step-by-step explanation:

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Which of the following represents the approximate circumference of a circle with a diameter of 5.8 ft? A. 9.106 ft C. 18.212 ft
mario62 [17]

Answer:

C-18.212 feet

Step-by-step explanation:

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2 years ago
((PLEASEEE HELPP MEE))
andrezito [222]

Answer:

D.

Step-by-step explanation:

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3 0
2 years ago
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