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2 years ago

Identify the height of the rectangle, given that A=(24x2+96x) ft2.

Mathematics

1 answer:

ch4aika [34]2 years ago

3 0

Answer:

Second option, h=( $x^{2} + 4x$ ) ft

Step-by-step explanation:

Area = Base x Height

Height = Area ÷ Base

= $\frac{24x^{2} +96x}{24}$

= $\frac{24x^{2} }{24} +\frac{96x}{24}$ (split fraction for easier simplification)

= $x^{2} +4x$

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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.

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2 years ago

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2 years ago

if a truck travel 248 miles in 4 hours then the truck traveled an average of how many miles each hour write an equation to solve

koban [17]

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3 years ago

Perform the indicated operations. Reduce the answers to lowest terms .<br>

kozerog [31]

Step-by-step explanation:

1. (2+4+1)/9 = 7/9

2. 2 1/3 + 2/3 = 2 + (1+2)/3 = 2 + 3/3 = 2+1 = 3

3. 1 1/5 + 2 3/5 = 1+2 + 1/5 + 3/5 = 3 + (1+3)/5 =

3 4/5

4. 5/6 + 2/10 + 1/5 = 5/6 + 1/5 + 1/5 = 5/6 + 2/5

= (5×5)/(6×5) + (2×6)/(5×6)

= 25/30 + 12/30

= (25+12)/30

= 37/30 = 1 7/30

5. 3 1/2 + 4 2/3

= 3+4 + 1/2 + 2/3

= 7 + (1×3)/(2×3) + (2×2)/(3×2)

= 7 + 3/6 + 4/6

= 7 + (3+4)/6 = 7 7/6 = 8 1/6

6. 9/13 - 5/13 = (9-5)/13 = 4/13

7. 7 6/8 - 5 2/8

= (7-5) + (6/8 - 2/8)

= 2 + 4/8

= 2 1/2

8. 2/3 - 3/7

= (2×7)/(3×7) - (3×3)/(7×3)

= 14/21 - 9/21 = (14-9)/21 = 5/21

9. 11 1/5 - 5 4/5

= 10 6/5 - 5 4/5

= (10-5) + (6/5 - 4/5)

= 5 + 2/5 = 5 2/5

10. 15 4/5 - 7 7/10

= (15-7) + (4/5 - 7/10)

= 8 + (4×2)/(5×2) - 7/10

= 8 + 8/10 - 7/10

= 8 + 1/10

= 8 1/10

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2 years ago

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labwork [276]

There are 31 emails left in her box. Hope this helps!! :)

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2 years ago

Read 2 more answers