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Nostrana [21]
2 years ago
5

What is the perimeter (please explain your answer)

Mathematics
1 answer:
Alex2 years ago
4 0

Answer:

<em>Answer: B. 38 mm</em>

Step-by-step explanation:

<u>The Perimeter of a Shape</u>

The perimeter of a given shape is the sum of all exterior lengths surrounding the shape.

The figure shows a shape where all the external measures are given except the leftmost side.

This length is the sum of 3 mm + 10 mm = 13 mm.

Now calculate the perimeter:

P = 4 mm + 3 mm + 10 mm + 8 mm + 13 mm = 38 mm

Answer: B. 38 mm

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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
Find a formula for the nth term
vlada-n [284]

The formula for a sequence with first term = 1.7 and common difference 0.5 is: a_n = 1.2 + 0.5n

Step-by-step explanation:

The first term and common difference are used to induce a formula for the arithmetic sequence

The explicit formula for a geometric sequence is:

a_n = a_1+(n-1)d

Given

First term = a1 = 1.7

Common Difference = d = 0.5

putting the values in the formula

a_n = 1.7 + (n-1)(0.5)\\a_n = 1.7 + 0.5n-0.5\\a_n = 1.2 + 0.5n

The formula for a sequence with first term = 1.7 and common difference 0.5 is: a_n = 1.2 + 0.5n

Keywords: Arithmetic sequence, Common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/13218251
  • brainly.com/question/13168205

#LearnwithBrainly

8 0
3 years ago
I need help with this question please
Marina86 [1]

Answer:

Step-by-step explanation:

√14 cannot be rewritten as the ratio of two integers and thus is irrational.

Similarly, √99 is irrational; √99 = √9√11 is irrational even though √9 is not.

3 0
3 years ago
What is the answer to the question down below
ratelena [41]

We conclude that the measure of that angle is 150 degrees.

<h3>How to get the measure of angle BFE?</h3>

Notice that  the measure of angle ∠BFE will be equal to:

∠BFE = ∠BFC + ∠CFD + ∠DFE

Where:

∠CFD = 90°

∠DFE = 30°

And we will have that:

∠AFC = 180° - 90° - 30° = 60°

And we know that BF bisects that angle, then:

∠BFC = 30°

So we conclude that:

∠BFE = ∠BFC + ∠CFD + ∠DFE = 30° + 90° + 30° = 150°

We conclude that the measure of that angle is 150 degrees.

If you want to learn more about angles:

brainly.com/question/17972372

#SPJ1

5 0
1 year ago
Alpha bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each member of the
Gnesinka [82]
There are 24 people, there are 4 pies and they each get 1/6th, 4x6=26

The entire race was 8 hours. If 3/4th of the race was 6 hours, 6/3=2 meaning 1/4th of the race is 2 hours and the full thing being 8.
6 0
2 years ago
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