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dalvyx [7]
4 years ago
12

Simplify. 52 • (4 + 23)

Mathematics
1 answer:
borishaifa [10]4 years ago
4 0

Answer:

<h3>1404</h3>

Step-by-step explanation:

To use the order of operations stands for (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) left to right. Please Excuse My Dear Aunt Sally!

BOMDAS stands for (Brackets, Of, Multiply, Divide, Add, and Subtract) from left to right.

First, do parenthesis.

52*(4+23)

4+23=27

52*27

Then, multiply.

52*27=1404

1404

The correct answer is 1404.

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A rectangular deck is 9 meters long by 7 meters wide. What is the length someone would walk
Feliz [49]

Answer:

11.4 metres

Step-by-step explanation:

Use Pythagoras theorem for a right-angled triangle

a^2 + b^2 = c^2

if you cut the rectangle in half, it will become a right angled triangle.

a and b are two sides of the rectangle, while c is the diagonal or hypothenuse

so 9^2 + 7^2 = c^2

81 + 49  = c^2

c^ 2 = 130

square root 130 = c

you should get approximately 11.4 metres

4 0
3 years ago
A building inspector believes that the percentage of new construction with serious code violations may be even greater than the
Y_Kistochka [10]

Answer:

The inspector's claim has strong statistical evidence.

Step-by-step explanation:

To answer this we have to perform a hypothesis test.

The inspector claimed that the actual proportion of code violations is greater than 0.07, so the null and alternative hypothesis are:

H_0: \pi\leq0.07\\\\H_a: \pi>0.07

We assume a significance level of 0.05.

The sample size is 200 and the proportion of the sample is:

p=\frac{23}{200}= 0.115

The standard deviation is

\sigma=\sqrt{\frac{\pi(1-\pi)}{N} }= \sqrt{\frac{0.07*0.93}{200}}=0.018

The z-value can be calculated as

z=\frac{p-\pi-0.5/N}{\sigma} =\frac{0.115-0.07-0.5/200}{0.018} =\frac{0.0425}{0.018}=2.36

The P-value for this z-value is P=0.00914.

This P-value is smaller than the significance level, so the effect is significant and the null hypothesis is rejected.

The inspector's claim has strong statistical evidence.

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