The height of a coffee mug would be about: A. 500 mm B. 8 cm C. 20 cm D. 0.1 km

Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information

MatroZZZ [7]

9514 1404 393

Answer:

B. Figure B

Step-by-step explanation:

The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.

The pyramid volume is ...

V = 1/3Bh

V = 1/3(4²)(9) = 48 . . . cubic units

__

The cylinder volume is ...

V = πr²h

V = π(1²)(48) = 48π . . . cubic units

The cylinder has π times as much volume as the pyramid. Figure B is larger.

_____

Additional comment

If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.

7 0

3 years ago

A book sold 35400 copies in its first month of release. Suppose this represent 9.7 % of the number of copies sold to date. How m

Nata [24]

Answer:

ADDDDDDDD

Step-by-step explanation:

7 0

2 years ago

I need helping solving this

olchik [2.2K]

Answer: x= 5

Step-by-step explanation:

Plug the second equation into the first equation’s y.
3x-2(-2x+7)=21

Then use distribution

3x+4x-14=21

Add 4x and 3x

7x-14=21

Then add 14 to both sides

7x=35

Divide by 7 to get x

35/7=5

x=5

8 0

2 years ago

Clarinex is a drug used to treat asthma. In clinical tests of this drug, 1655 patients were treated with 5- mg doses of Clarinex

bagirrra123 [75]

Answer:

$z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363$

$p_v =P(z>3.363)=0.00039$

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

Step-by-step explanation:

Data given and notation

n=1655 represent the random sample taken

$\hat p=0.021$ estimated proportion of interest

$p_o=0.012$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that true proportions is higher than 0.012.:

Null hypothesis: $p \leq 0.012$

Alternative hypothesis: $p > 0.012$

When we conduct a proportion test we need to use the z statisitic, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>3.363)=0.00039$

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

3 0

3 years ago

Select the correct answer.

ratelena [41]

Answer:

A. $x(x+12) -7(x+12)$

Step-by-step explanation:

Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:

$x^2 +5x - 84$

First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.

$x^2 +12x - 7x - 84$

Now take out the common factors,

$x(x+12) -7(x+12)$

Thus, the correct option is choice (A).

5 0

2 years ago