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3 years ago

The cone and cylinder below have equal surface area. True or false.

Mathematics

1 answer:

eduard3 years ago

8 0

Answer:

False

Step-by-step explanation:

SA of cone = pi×r×l + pi×r²

= pi×r×(3r) + pi×r²

= 3pi×r² + pi×r²

= 4pi×r²

SA of cylinder = 2pi×r×h + 2pi×r²

= 2pi×r×2r + 2pi×r²

= 4pi×r² + 2pi×r²

= 6pi×r²

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Solve for X. x+5=2x-11

sukhopar [10]

First you need to subtract "x" from the left side on both sides, then you have 5=x-11. then you add eleven to each side. this gives you 16=c

7 0

3 years ago

Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean

dsp73

Answer:

2.304

Step-by-step explanation:

Given that x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood).

$n=31\\\bar x = 8.6\\s=2.9\\se = \frac{2.9}{\sqrt{31} } \\=0.5209$

$H_0: \bar x =7.4\\H_a: \bar x \neq 7.4$

(Two tailed test at 5% level)

Mean difference = $8.6-7.4=1.2$

b) Here we can use only t test since population std deviation is not known.

df = n-1 = 30

Test statistic t = mean diff/std error = 2.304

p value = 0.028

5 0

3 years ago

Dartmouth Distribution Warehouse makes deliveries of a large number of products to its customers. It is known that 78% of all th

Alexxx [7]

Answer:

The probability that the value of P will be less than 0.81 is 0.7642.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

Given:

n = 100

p = 0.78

Since n = 100 > 30, according to the central limit theorem the sampling distribution of sample proportion follows a Normal distribution.

$\hat p\sim N(\mu_{\hat p}=0.78, \sigma_{\hat p}=0.0414)$

Compute the value of $P(\hat p$ as follows:

$P(\hat p$

$=P(Z$

*Use a z-table for the probability.

Thus, the probability that the value of P will be less than 0.81 is 0.7642.

6 0

3 years ago

Ted and Meg have each drawn a line on the scatter plot shown below:

expeople1 [14]

Answer:

A.)Line P, because it is closest to most data points

Step-by-step explanation:

The line of best fit is a line which best represents the data and the data points are closely related to it.

It is also known as a trend line.

The line of best fit may pass through, some , none or all of the data points.

Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.

Hence, by looking at the scatter plot we see that all the data points lie above Line R.

Hence, the Line R will not be a line of best fit.

But all the data points lie close to the line P , hence it act as a line of best fit.

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8 0

3 years ago

Read 2 more answers

Help Please 20 POINTS Which expressions are equivalent to the following?

o-na [289]

Answer:

$\large\boxed{5x(6x-x-2)}\\\\\boxed{-5(-6x^2+x+2)}\\\\\boxed{5(2x+1)(3x-2)}$

Step-by-step explanation:

$30x^2-5x-10=5(6x^2-x-2)=5(-1)(-6x^2+x+2)=-5(-6x^2+x+2)\\\\30x^2-5x-10=30x^2+15x-20x-10=15x(2x+1)-10(2x+1)\\\\=(2x+1)(15x-10)=(2x+1)(5)(3x-2)=5(2x-1)(3x-2)$

4 0

3 years ago