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3 years ago

Round to the nearest hundredth (2 decimal places) when necessary

Mathematics

1 answer:

shusha [124]3 years ago

8 0

Answer:

volume = 91 cm²

perimeter = 41.1 in

Step-by-step explanation:

volume = 1/2(b1+b2)(h) = 1/2(11 + 15)(7) = 91 cm²

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A student estimated the temperature of the room to be 24°C. After carefully measuring, he found the actual temperature to be 23.

erica [24]

Answer:

2.13% (rounded to nearest thousandth)

Step-by-step explanation:

You subtract 24 from 23.5 to get 0.5

Then you divide 0.5 by 23.5 to get 0.02127

Then you multiply that by 100 to get your percent error

5 0

3 years ago

Read 2 more answers

Factor completely. x2+2x−24 Enter your answer in the box.

sweet [91]

We can factor using the AC method.
Doing that... we get the answer
(x-4)(x+6)

Have a nice afternoon!
~Brooke❤️

8 0

4 years ago

Read 2 more answers

Tompkins Associates reports that the mean clear height for a Class A warehouse in the United States is 22 feet. Suppose clear he

coldgirl [10]

Given Information:

Mean clear height = μ = 22 feet

Standard deviation of clear height = σ = 4 feet

Required Information:

a) P(X > 16) = ?

b) P(X < 14) = ?

c) P(25 < X < 30) = ?

Answer:

a) P(X > 16) = 93.12%

b) P(X < 14) = 2.27%

c) P(25 < X < 30) = 20.39%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

a) We want to find out the probability that the clear height is greater than 16 feet.

$P(X > 16) = 1 - P(X < 16)\\\\P(X > 16) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 16) = 1 - P(Z < \frac{16 - 22}{4} )\\\\P(X > 16) = 1 - P(Z < \frac{-6}{4} )\\\\P(X > 16) = 1 - P(Z < -1.5)\\\\$

The z-score corresponding to -1.5 is 0.0668

$P(X > 16) = 1 - 0.0668\\\\P(X > 16) = 0.9312\\\\P(X > 16) = 93.12 \%$

Therefore, the probability that the clear height is greater than 16 feet is 93.12%

b) We want to find out the probability that the clear height is less than 14 feet

$P(X < 14) = P(Z < \frac{x - \mu}{\sigma} )\\\\P(X < 14) = P(Z < \frac{14 - 22}{4} )\\\\P(X < 14) = P(Z < \frac{-8}{4} )\\\\P(X < 14) = P(Z < -2)\\\\$

The z-score corresponding to -2 is 0.02275

$P(X < 14) = 0.02275\\\\P(X < 14) = 2.27 \%$

Therefore, the probability that the clear height is less than 14 feet is 2.27%

c) We want to find out the probability that the clear height is between 25 and 30 feet.

$P(25 < X < 30) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(25 < X < 30) = P( \frac{25 - 22}{4} < Z < \frac{30 - 22}{4} )\\\\P(25 < X < 30) = P( \frac{3}{4} < Z < \frac{8}{4} )\\\\P(25 < X < 30) = P( 0.75 < Z < 2 )\\\\$

The z-score corresponding to 0.75 is 0.7734 and 2 is 0.9773

$P(25 < X < 30) = P( Z < 2 ) - P( Z < 0.75 ) \\\\P(25 < X < 30) = 0.9773 - 0.7734 \\\\P(25 < X < 30) = 0.2039\\\\P(25 < X < 30) = 20.39 \%$

Therefore, the probability that a child spends more than 4 hours and less than 8 hours per day unsupervised is 20.39%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

6 0

3 years ago

Write the following as an algebraic expression. Then simplify.

Romashka [77]

Answer: A. 7x + 3

Concept:

Here, we need to know how to find the perimeter of a triangle

Perimeter (triangle) = s₁ + s₂ + s₃

s₁ = side one

s₂ = side two

s₃ = side three

Solve:

Given information

s₁ = 3x

s₂ = 3x + 3

s₃ = x

Given expression

P = s₁ + s₂ + s₃

Substitute values into the expression

P = (3x) + (3x + 3) + (x)

Combine like terms

P = (3x + 3x + x) + (3)

P = (6x + x) + 3

$\boxed{P_{triangle}=7x+3}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

3 years ago

What expression is equivalent to 3 ( 7 + g )

Tasya [4]

Answer:

21+3g

Step-by-step explanation:

3 0

3 years ago