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monitta
3 years ago
15

Mrs. Patterson but a set of building blocks for her son each cube shaped block measured 4 cm on one side what is the volume of s

ix building blocks
Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Given:

The shape of all building blocks is a cube of side 4 cm.

To find:

The volume of six building blocks.

Solution:

Volume of a cube is:

V=a^3

Where, a is the side length of the cube.

Putting a=4, we get

V=(4)^3

V=64

It means the volume of each building block is 64 cubic cm.

Now, the volume of six building blocks is

Volume=6\times V

Volume=6\times 64

Volume=384

Therefore, the volume of six building blocks is 384 cubic cm.

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In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study
DIA [1.3K]

Answer:

z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055    

The p value can be calculated from the alternative hypothesis with this probability:

p_v =2*P(Z>2.055)=0.0399    

And the best option for this case would be:

C. between 0.01 and 0.05.

Step-by-step explanation:

Information provided

X_{1}=1642 represent the number of smokers from the sample in 1995

X_{2}=1415 represent the number of smokers from the sample in 2010

n_{1}=4276 sample from 1995

n_{2}=3908 sample from 2010  

p_{1}=\frac{1642}{4276}=0.384 represent the proportion of smokers from the sample in 1995

p_{2}=\frac{1415}{3908}=0.362 represent the proportion of smokers from the sample in 2010

\hat p represent the pooled estimate of p

z would represent the statistic    

p_v represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:    

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}    

The statistic is given by:

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374  

Replacing the info given we got:

z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055    

The p value can be calculated from the alternative hypothesis with this probability:

p_v =2*P(Z>2.055)=0.0399    

And the best option for this case would be:

C. between 0.01 and 0.05.

7 0
3 years ago
Why are parabolsas used for
JulsSmile [24]

Answer:

Parabolas are frequently used in physics and engineering for things such as the design of automobile headlight reflectors and the paths of ballistic missiles. Parabolas are frequently encountered as graphs of quadratic functions.

8 0
3 years ago
Read 2 more answers
Find the area of the figure
GenaCL600 [577]
Find the rectangle area

A = 8*4 = 32 in²

Find the height of trapezoid

8-4 = 4 in

Find the area of trapezoid

(5,3+8)*4/2 = 13,3*4/2 = 53,2/2 = 26,6 in²

Find the figure area

26,6+32 = 58,6 in²
5 0
3 years ago
What do both of these functions have in common? f(x)=5e^x+5 g(x)=0.5(x-5)^2-5
kondor19780726 [428]

Answer:

They have the same vertical shift. -Apex

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLLLEEEAASSEE HELP ME<br><br> explain how you got the answer
valkas [14]
For # 1, the answer will be 1 because of the exponential rule a^{0} = 1.

#2, the answer is going to be x^{4} because of the exponential rule a^{-b} = \frac{1}{a ^{b} }.

#3. I'm not sure that this could be simplified any further.

#4  To get the answer to this question, we must apply the distributive property, along with the exponential rule a ^{m} × a ^{n} = a ^{m+n}. When we apply these properties, we'll get - \frac{3}{x^4}

For the other questions, they all apply the Laws of Exponents. 

5 0
3 years ago
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