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-Dominant- [34]
3 years ago
11

<question in picture>I have no idea how to do this!​

Mathematics
1 answer:
lidiya [134]3 years ago
5 0
Start by finding the volume of the original volume. 45x45x45 = 91,125

Multiply that volume by .70 to find the reduced building volume which = 63,787.5

To get the answer you want to find the cube of 63,787.5

The answer is C (39.96)
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Za and Z6<br> are<br> complementary angles. Za measures 78°.<br> What is the measure of Zb?
VARVARA [1.3K]

Answer:

\boxed{\angle b = 12 \degree}

Given:

\angle a \: and \: \angle b \: are \: complementary \: angles\\ \\ \angle a = 78 \degree

Step-by-step explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

=  > \angle a + \angle b = 90 \degree \\  \\  =  >  78 \degree +  \angle b = 90\degree \\  \\  =  > \angle b = 90 \degree - 78 \degree \\  \\  =  >  \angle b = 12 \degree

5 0
3 years ago
Recent studies indicate that the typical 50-year-old woman spends $350 per year for personal-care products. The distribution of
jek_recluse [69]

Answer:

P ( x_bar > 335 ) = 0.9826

Step-by-step explanation:

Given:

- Mean amount u = 350

- standard deviation s.d = 45/year

- Sample size n = 40

Find:

- The probability of sample mean P( x_bar > 335 )

Solution:

- P ( x_bar > 335 ) = P ( Z > sqrt(n)*(x_bar - u)/s.d)

                             = P ( Z > sqrt(40)*(335-350)/45)

                             = P ( Z > -2.111) = P ( Z < 2.111)

                             =  0.5 + P( 0 < Z < 2.111)

                              = 0.5 + 0.4826

                             = 0.9826

4 0
3 years ago
You can invest $200 at 8% for 3 years. Find the simple interest.
Ira Lisetskai [31]

Answer:

$48

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year,

then, solving our equation

I = 200 × 0.08 × 3 = 48

I = $ 48.00

The simple interest accumulated

on a principal of $ 200.00

at a rate of 8% per year

for 3 years is $ 48.00.

4 0
3 years ago
Grades in large classes are sometimes approximately Normally distributed—a fact that serves as the justification for "grading on
QveST [7]

Answer:

Grade A: Z \geq 1

Grade B: 0 \leq Z < 1

Grade C: -1 \leq Z < 0

Grade D: Z < -1

Step-by-step explanation:

Problems of normally distributed samples can be solved using the Z score table.

The Z score of a measure represents how many standard deviations it is above or below the mean of all the measures.

Each Z score has a pvalue. This represents the percentile of the measure.

In this problem, we have that:

The upper 16% of the class get A grades. The upper 16% has a pvalue of at least 100% = 16% = 84% = 0.84. This is Z \geq 1.

The middle 34% of the class get B grades. The middle 34% has a pvalue of at least 84%-35% = 50% = 0.5 and at most 0.84. This is 0\leqZ < 1.

Those between a pvalue of 0.5-0.34 = 0.16 and 0.5 get get grade C. Z = -1 has a pvalue of 0.16. So a grade C is in the interval -1 \leq Z < 0.

Those with Z lesser than -1 get grades D and F

6 0
3 years ago
Expression 3 + y and 2 (6+y) are equivalent?
Assoli18 [71]

Answer:

3+y and 12+2y

Step-by-step explanation:

I mean they aren't equivalent because if you do PEMDAS (parenthesis, exponents, multiply, divide, add, subtract) Then, you would do 2 times 6 because parenthesis, that equals 12 so the answer would be

3+y and 12+2y

6 0
3 years ago
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