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posledela
3 years ago
7

Amelia ,Hayden and Sophie did a test the total for the test was 75 marks Amelia got 56% of 75 marks Hayden got 8/15 0f the 75 ma

rks Sophie got 43 out of 75 marks who got the highest
​
Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0

Given parameters:

  Total test score = 75marks

 Percentage of Amelia score  = 56%

 Fraction  of Hayden's score = \frac{8}{15}

  Sophie's score  = 43marks

Unknown:

The person with the highest score  = ?

Solution:

  Since total score = 75marks;

Amelia's score = \frac{56}{100} x 75   = 42marks

 Hayden's score = \frac{8}{15}  x 75   = 40marks

 Sophie's score  = 43 marks

The person with the highest score is Sophie with a mark of 43.

boyakko [2]3 years ago
6 0

Step-by-step explanation:

Amelia got 56% of 75 so

(56/100)*75=(56*75)/100=4200/100=42

Hayden got 8/15 of 75 so

(8/15)*75=(8*75)/15=600/15=40

and Sophie that got 43 out of 75

so we see that Sophie got the highest points.

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Algebra 2 Standard Deviation
Illusion [34]

Answer:

don't have answer but have how to do them

Step-by-step explanation:

What are z-scores?

A z-score measures exactly how many standard deviations above or below the mean a data point is.

Here's the formula for calculating a z-score:

z=\dfrac{\text{data point}-\text{mean}}{\text{standard deviation}}z=  

standard deviation

data point−mean

​  

z, equals, start fraction, start text, d, a, t, a, space, p, o, i, n, t, end text, minus, start text, m, e, a, n, end text, divided by, start text, s, t, a, n, d, a, r, d, space, d, e, v, i, a, t, i, o, n, end text, end fraction

Here's the same formula written with symbols:

z=\dfrac{x-\mu}{\sigma}z=  

σ

x−μ

​  

z, equals, start fraction, x, minus, mu, divided by, sigma, end fraction

Here are some important facts about z-scores:

A positive z-score says the data point is above average.

A negative z-score says the data point is below average.

A z-score close to 000 says the data point is close to average.

A data point can be considered unusual if its z-score is above 333 or below -3−3minus, 3. [Really?]

Want to learn more about z-scores? Check out this video.

Example 1

The grades on a history midterm at Almond have a mean of \mu = 85μ=85mu, equals, 85 and a standard deviation of \sigma = 2σ=2sigma, equals, 2.

Michael scored 868686 on the exam.

Find the z-score for Michael's exam grade.

\begin{aligned}z&=\dfrac{\text{his grade}-\text{mean grade}}{\text{standard deviation}}\\ \\ z&=\dfrac{86-85}{2}\\ \\ z&=\dfrac{1}{2}=0.5\end{aligned}  

z

z

z

​  

 

=  

standard deviation

his grade−mean grade

​  

 

=  

2

86−85

​  

 

=  

2

1

​  

=0.5

​  

 

Michael's z-score is 0.50.50, point, 5. His grade was half of a standard deviation above the mean.

Example 2

The grades on a geometry midterm at Almond have a mean of \mu = 82μ=82mu, equals, 82 and a standard deviation of \sigma = 4σ=4sigma, equals, 4.

Michael scored 747474 on the exam.

Find the z-score for Michael's exam grade.

\begin{aligned}z&=\dfrac{\text{his grade}-\text{mean grade}}{\text{standard deviation}}\\ \\ z&=\dfrac{74-82}{4}\\ \\ z&=\dfrac{-8}{4}=-2\end{aligned}  

z

z

z

​  

 

=  

standard deviation

his grade−mean grade

​  

 

=  

4

74−82

​  

 

=  

4

−8

​  

=−2

​  

 

Michael's z-score is -2−2minus, 2. His grade was two standard deviations below the mean.

https://www.khanacademy.org/math/statistics-probability/modeling-distributions-of-data/z-scores/a/z-scores-review

this should help

6 0
3 years ago
Complete the ratio tables.<br> 10<br> 20<br> 25<br> 50<br> 60
Misha Larkins [42]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Bella bought packs of stickers to give to her friends. Each pack cost $4. She spent a total of
Shalnov [3]

Answer:

8 packs

Step-by-step explanation:

$4 = 1 pack

$32 = ?

$32 = $32/$4

$32 = 8 packs

4 0
3 years ago
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o-na [289]

Answer:

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6 0
3 years ago
Use decimals to answer the question what is 6% of 225
ElenaW [278]

Answer:

13.5

Step-by-step explanation:

(Are you meaning this as the answer is a decimal?)

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3/2 * 9/1

<em>Rewrite this so it is a single fraction.</em>

(3 * 9)/2

<em>Multiply 3 by 9 to get 27.</em>

27/2

<em>Divide 27 by 2 to get 13.5.</em>

13.5

6% of 225 is 13.5.

8 0
3 years ago
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