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yan [13]
3 years ago
11

Ben wants to get a 94 in math class. His grade will be the average of two test scores. He scored an 89 on the first test. What g

rade does Ben need to get on his second test to meet his goal?
Mathematics
2 answers:
In-s [12.5K]3 years ago
8 0

Answer:

Ben needs to get a 99% on his second test

Step-by-step explanation:

The average is the sum of both test scores, divided by the total number of test scores (2).

Let x by the grade Ben must receive on his second test.

(89 + x)/2 = 94

Multiply by 2 on both sides

89 + x = 188

Subtract 89 on both sides

x = 99

Check work:

(89 + 99)/2 = 188/2 = 99

STALIN [3.7K]3 years ago
3 0

Answer: 99

Concept:

Here, we need to know the idea of the average value.

In mathematics, <u>average </u>refers to the sum of a group of values divided by n, where n is the number of values in the group.

Average = Sum of value / number of values

Solve:

<u>Given information</u>

Scoring on first test = 89

Scoring on second test = x

Number of tests = 2

Average = 94

<u>Given expression</u>

Average = Sum of value / number of values

<u>Substitute values into the expression</u>

94 = (89 + x) / 2

<u>Multiply 2 on both sides</u>

94 × 2 = (89 + x) / 2 × 2

188 = 89 + x

<u>Subtract 89 on both sides</u>

188 - 89 = 89 + x - 89

\boxed{x=99}

Hope this helps!! :)

Please let me know if you have any questions

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According to the norms established for a reading comprehension test, eighth-graders should average 83.2 with a standard deviatio
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Answer:

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Step-by-step explanation:

Data given and notation    

\bar X=86.7 represent the average life for the sample    

s=8.6 represent the population standard deviation    

n=45 sample size    

\mu_o =83.2 represent the value that we want to test    

\alpha=0.01 represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

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What are H0 and Ha for this study?    

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The statistic for this case is given by:  

t=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)    

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic    

We can replace in formula (1) the info given like this:    

t=\frac{86.7-83.2}{\frac{8.6}{\sqrt{45}}}=2.73    

Give the appropriate conclusion for the test  

First we need to calculate the degrees of freedom given by:

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Since is a one side right tailed test the p value would be:    

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Conclusion    

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Answer:

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Step-by-step explanation:

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