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Inessa05 [86]
3 years ago
6

Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choic

e questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.
How many points was each multiple choice question worth?
Mathematics
1 answer:
alexgriva [62]3 years ago
5 0
Each multiple choice question would be 5 points. For Louann she got 14 of the questions correct so 5 x 14 = 70 and 70 + 24 would be 94. For Carla she got 16 of the questions correct so 5 x 16 = 80 and 80 + 14 = 94. You're answer would be 5, hopefully this helps :)
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What is the standard deviation of the data set? 1, 4, 2, 2, 8, 7, 3 Round your answer to the nearest tenth.
natima [27]

Standard deviation is a measurement of a collection of values' variance or dispersion. The standard deviation of the data set is 2.474.

<h3>How to calculate the standard deviation of a data set?</h3>

Step 1: Find the mean

Step 2: Find each score’s deviation from the mean

Step 3: Square each deviation from the mean

Step 4: Find the sum of squares

Step 5: Apply the formula

SD = \sqrt{\dfrac{\sum(x_i-\bar{x})^2}{n}}

The data set that is given to us is {1, 4, 2, 2, 8, 7, 3}, now use the steps to calculate the standard deviation.

Step 1: Find the mean

The mean of the given data set can be written as,

Mean, \mu=\dfrac{1+4+2+2+8+7+3}{7} = 3.857

Step 2: Find each score’s deviation from the mean

1 - 3.857 = -2.857

4 - 3.857 = 0.143

2 - 3.857= -1.857

2 - 3.857= -1.857

8 - 3.857 = 4.143

7 - 3.857 = 3.143

3 - 3.857 = -0.857

Step 3: Square each deviation from the mean

-2.857² = 8.162

0.143² = 0.02

-1.857² = 3.447

-1.857² = 3.447

4.143² = 17.165

3.143² = 9.877

-0.857²= 0.735

Step 4: Find the sum of squares

8.162+0.20+3.447+3.447+17.165+9.877+0.735 = 42.857

Step 5: Apply the formula

SD = \sqrt{\dfrac{\sum(x_i-\bar{x})^2}{n}}\\\\SD = \sqrt{\dfrac{42.857}{7}} \\\\SD= 2.474

Hence, the standard deviation of the data set is 2.474.

Learn more about Standard Deviation:

brainly.com/question/12402189

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D)3x-2y=8
I added a picture explaining how I worked it out!

3 0
3 years ago
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Prove that sin(n) diverges
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If you look at the graph of sin(n), you can notice that it oscillates every kpi/2 when k is odd. This oscillation proves that sin(n) diverges.
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3 years ago
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Leto [7]

Answer:

y = 6

Step-by-step explanation:

If x varies inversely proportional as y.

x=\dfrac{k}{y}, k is constant of proportionality

or

k = xy

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k = 3×10

k = 30

Put x = 5,

y=\dfrac{k}{x}\\\\y=\dfrac{30}{5}\\\\y=6

So, the value of y is 6 when x is 5.

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At a department store, Kendra has a debt greater than $25.00. Which could be Kendra’s balance?
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or -25 >x


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