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skad [1K]
3 years ago
6

The class average on a math test was an 82 with a standard deviation of 5. If the 

Mathematics
1 answer:
Alex787 [66]3 years ago
8 0

Answer:

Option 3 and 4.

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation

Given that mean (μ) = 82, standard deviation (σ) = 5

1) For x = 74:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{74-82}{5} =-1.6

Option 1 is incorrect

2) For x < 87

z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%

Option 2 is incorrect

3) For x = 95:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6

Option 3 is correct

4) For x < 77

z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%

Option 4 is correct

5) For x > 92

z=\frac{x-\mu}{\sigma} \\\\z=\frac{92-82}{5} =2

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%

Option 5 is incorrect

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You invest $1,200 in an account that pays an interest rate of 7.25%, compounded continuously.
hammer [34]
The answer is $1,809.00.

Explanation:

To calculate interest rate, you must multiply the decimal version of the percentage by the original number. 7.25% as a decimal is equivalent to 0.0725, so multiplying that by 1,200 = 87. Now we must multiply that by 7 to find the amount after 7 years. The product is 609, or $609. Now we add that amount to the original number (1,200). The sum is 1809, $1,809. Therefore, your total balance after 7 years is $1,809.

Hope I helped and good luck!
6 0
3 years ago
Read 2 more answers
9. How many ways can 6 different items be arranged in a line and how many ways can 6 different items be arranged in a circle? 1​
docker41 [41]
36 different ways; usually when it asks how many times different outcomes can pop up, all you have to do is multiply is by itself.
6 0
3 years ago
I need Answer Immediately!!!!!
andrew11 [14]

Answer:

I think it is 1 Block every 3 minutes

5 0
3 years ago
7 5/6 - 3 1/12 what does this equal as a fraction in simplest form
KengaRu [80]

For this case we convert the mixed numbers into fractions:

7 \frac {5} {6} = \frac {6 * 7 + 5} {6} = \frac {42 + 5} {6} = \frac {47} {6}\\3 \frac {1} {12} = \frac {12 * 3 + 1} {12} = \frac {36 + 1} {12} = \frac {37} {12}

Rewriting the expression:

\frac {47} {6} - \frac {37} {12} =\\\frac {12 * 47-6 * 37} {6 * 12} =\\\frac {564-222} {72} =\\\frac {342} {72} =

We simplify:

\frac {171} {36} =\\\frac {57} {12} =\\\frac {19} {4}

Thus, the simplified form is:\frac {19} {4}

Answer:

\frac {19} {4}

3 0
3 years ago
The hiking trail 2600 miles long and passes through fourteen states. Because it is their first time hiking the trail, Janet and
GarryVolchara [31]

Answer:

They will hike 16% of the trail in Georgia.

Step-by-step explanation:

We have that:

The hiking trail is of 2600 miles.

416 of those miles are in Georgia?

What percent of the trail will they hike?

Georgia distance multiplied by 100% and divided by the total distance. So

416*100%/2600 = 16%

They will hike 16% of the trail in Georgia.

6 0
3 years ago
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