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4 years ago

How do you simplify 243 1/5

Mathematics

1 answer:

8_murik_8 [283]4 years ago

6 0

Answer:

Step-by-step explanation:

To simplify to a improper fraction, you do 243 times 5, which is 1215, then add 1, which is 1216

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James measured his hand. It was 0.17 M. Jennifer measured her hand. It was 0.165 M. Whose hand was bigger? How do you know?

True [87]

Answer: James

Step-by-step explanation:

0.17M is bigger than 0.165.

Since if you subtract

0.170 - 0.165 = 0.005

There is 0.005 difference.

5 0

3 years ago

What is the total surface area of the drawing?

Soloha48 [4]

Total surface area equals area of 5 rectangular faces + 2 pentagonal faces

Area of 5 rectangular faces

$=5 \times 6 \times 9 km^2$

$=270 km^2$

Area of 2 pentagonal faces can be found by drawing 5 isosceles triangles with height as shown in the diagram and multiply the result by 2.

$=5 \times \frac{1}{2} \times 9 \times 6.2 \times 2km^2$

$=279km^2$

The toatal surface area is

$=270+279=549 km^2$

The correct answer is A

3 0

3 years ago

The national average for the math portion of the College Board’s Scholastic Aptitude Test

Alex73 [517]

Answer:

a) 0.1587

b) 0.023

c) 0.341

d) 0.818

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 515

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(score greater than 615)

P(x > 615)

$P( x > 615) = P( z > \displaystyle\frac{615 - 515}{100}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 615) = 1 - 0.8413 = 0.1587 = 15.87\%$

b) b) P(score greater than 715)

$P(x > 715) = P(z > \displaystyle\frac{715-515}{100}) = P(z > 2)\\\\P( z > 2) = 1 - P(z \leq 2)$

Calculating the value from the standard normal table we have,

$1 - 0.977 = 0.023 = 2.3\%\\P( x > 715) = 2.3\%$

c) P(score between 415 and 515)

$P(415 \leq x \leq 515) = P(\displaystyle\frac{415 - 515}{100} \leq z \leq \displaystyle\frac{515-515}{100}) = P(-1 \leq z \leq 0)\\\\= P(z \leq 0) - P(z < -1)\\= 0.500 - 0.159 = 0.341 = 34.1\%$

$P(415 \leq x \leq 515) = 34.1\%$

d) P(score between 315 and 615)

$P(315 \leq x \leq 615) = P(\displaystyle\frac{315 - 515}{100} \leq z \leq \displaystyle\frac{615-515}{100}) = P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.841 - 0.023 = 0.818 = 81.8\%$