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3 years ago

What can you conclude about the difference between the tangent line slopes at x=0 when one base is twice the other?

1 answer:

3 0

The correct answer: It can be concluded that the other tangent line slope is twice as higher than the other tangent line whose base is twice the other tangent line.

It can be concluded, by merely observing, that the difference between the tangent line slopes at x=0 is that one tangent line slope is vertically twice as higher than the other tangent line slope when one base is twice the other tangent line.

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Joe went to the store and bought 4 cans of peanuts for $7.80 .What is the constant of proportionality? (explain what you do to s

Irina-Kira [14]

Answer:

Step-by-step explanation:

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3 years ago

In ΔTUV, the measure of ∠V=90°, the measure of ∠U=55°, and VT = 82 feet. Find the length of TU to the nearest tenth of a foot.

Degger [83]

Given:

Given that TUV is a right triangle with measure of ∠V=90°

The measure of ∠U = 55°, and the length of VT is 82 feet.

We need to determine the length of TU.

Length of TU:

The length of TU can be determined using the trigonometric ratio.

Thus, we have;

$sin \ \theta=\frac{opp}{hyp}$

where $\theta=55^{\circ}$ , opp = VT and hyp = TU

Thus, we have;

$sin \ 55^{\circ}=\frac{VT}{TU}$

Substituting the values, we have;

$sin \ 55^{\circ}=\frac{82}{TU}$

Simplifying, we have;

$TU=\frac{82}{sin \ 55^{\circ}}$

$TU=\frac{82}{0.819}$

$TU=100.1$

Thus, the length of TU is 100.1 feet.

8 0

3 years ago

The table represents a proportional relationship the equation y=2/15x represents another proportional relationship. Of these two

scZoUnD [109]

I think it's A. I can't really see the graphs clearly. It's the one that crosses at (15,2)

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3 years ago

Based upon a smaller sample of only 170 st. paulites, what is the probability that the sample proportion will be within of the p

Pepsi [2]

Given that in 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is .75, the same as the overall proportion of complaints settled in 2008.

Part a) :

Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of (to 4 decimals).

Population proportion = 0.75
sample size. n = 450
$Standard\ error=\sqrt{\frac{p(1-p)}{n}} \\ \\ =\sqrt{\frac{(0.75)(0.25)}{450}} = 0.0204$

Therefore, the sampling distribution has a proportion of 0.75 and a standard error of 0.0204.

Part b) :

Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion (to 4 decimals)?

The probability that the sample proportion will be within 0.04 of the population proportion is given by:

$P(p\ \textless \ 0.75\pm0.04)=2P\left(z\ \textless \ \frac{0.04}{0.0204} \right)-1 \\ \\ 2P(z\ \textless \ 1.961)-1=2(0.97505)-1=1.9501-1 \\ \\ =\bold{0.9501}$

Therefore, the probability that the sample proportion will be within .04 of the population proportion is 0.9501.

Part C:

Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of (to 4 decimals).

Population proportion = 0.75
sample size. n = 200
$Standard\ error=\sqrt{\frac{p(1-p)}{n}} \\ \\ =\sqrt{\frac{(0.75)(0.25)}{200}} = 0.0306$

Therefore, the sampling distribution has a proportion of 0.75 and a standard error of 0.0306.

Part D):

Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion (to 4 decimals)?


The probability that the sample proportion will be within 0.04 of the population proportion is given by:

$P(p\
 \textless \ 0.75\pm0.04)=2P\left(z\ \textless \ \frac{0.04}{0.0306} 
\right)-1 \\ \\ 2P(z\ \textless \ 1.306)-1=2(0.90429)-1=1.80858-1 \\ \\
 =\bold{0.8086}$

Therefore, the probability that the sample proportion will be within .04 of the population proportion is 0.8086.

8 0

3 years ago

Can anybody help with this question PLZE!!

Ksivusya [100]

Tan45=7/x
x=7/tan45
x=7

4 0

3 years ago