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2 years ago

Wich of the following is the correct graph of solution to the inequality -8 >-5x+2>-38

1 answer:

3 0

-5x + 2 > -38
-5x > -40
x < 8

-5x + 2 < -8
-5x < -10
x > 2

so the inequality becomes
2 < x < 8

so the graph will be a straight line with open circles on 2 and 8 and shading in between these values.

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Help me please!! thanks

marysya [2.9K]

Answer:

Option (2)

Step-by-step explanation:

Given:

Diameter of the circular base of a cone = 6 feet

Volume of the cone = 176 cubic feet

To Find:

Height of the cone

Solution:

Formula to be used to get the height of the cone,

Volume of cone = $\frac{1}{3}\pi r^{2} h$

Here, r = Radius of the cone

h = Height of the cone

By substituting the values in the formula,

176 = $\frac{1}{3}\pi (\frac{6}{2})^2(h)$

176 = 3πh

h = $\frac{176}{3\pi }$

h = $\frac{176}{3(3.14)}$

h = 18.68 feet

Therefore, Option (2) is the correct option.

6 0

2 years ago

A jar contains 6 red marbles numbered 1 to 6 and 4 blue marbles numbered 1 to 4. A marble is drawn at random from the jar. Find

svetoff [14.1K]

Answer:

Step-by-step explanation:

The marble is red. There are 6 red marbles out of ten. So the answer is

6/10 = 0.60

Red: 1 3 5

Blue: 1 3

So there are 5 ways that you can draw an odd number. The problem is that they are not evenly distributed.

Red: 1/2 * 3/6 = 1/4 = 0.25

Blue: 1/2 * 2/4 = 0.25

Red + blue = 1/4 + 1/4 = 1/2

You could have gotten 1/2 by taking 5/10 but that won't always work.

4 0

2 years ago

Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog

lara31 [8.8K]

Answer:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

Step-by-step explanation:

Notation and definitions

$X=35$ number of people that agree.

$n=100$ random sample taken

$\hat p=\frac{35}{100}=0.35$ estimated proportion of people that agree

$p$ true population proportion of peopl that agree

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: