Find the area of the composite shape lable your answer in square in

6% of $120 find percent<br> 0.5% of $44 find percent

just olya [345]

.06*120=$7.20
.005*44=$0.22

6 0

3 years ago

Two spinners are spun. One has 5 sections labeled Red, Orange, Purple, Yellow, and Green. The other has three sections labeled 1

quester [9]

Answer:

$S = 15$ possible outcomes

Step-by-step explanation:

For any experiment, the sample space of this experiment is the set of all the possible results of the experiment.

In this case we have two spinners. The first has 5 colors, by spinning the spinner you can get up to 5 different results. Therefore the sample space is $S_1 = 5$

For the second spinner there are 3 possible results. By spinning the spinner you can get the numbers 1, 2 or 3. Then $S_2 = 3$ .

Then, if the two spinners are rotated, the sample space would be:

$S = 5*3$

$S = 15$ possible outcomes.

The tree diagram shown in the attached image shows the 15 possible results

{R, 1} {R, 2} {R, 3} {O, 1} {O, 2} {O, 3} {Y, 1} {Y, 2} {Y, 3} {P, 1} {P, 2} {P, 3} {G, 1}

{G, 2} {G, 3}

4 0

3 years ago

Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that

amm1812

Answer:

The value is $P(| \^ p - p| < 0.05 ) = 0.9822$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.52$

The sample size is n = 563

Generally the population mean of the sampling distribution is mathematically represented as

$\mu_{x} = p = 0.52$

Generally the standard deviation of the sampling distribution is mathematically evaluated as

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

=> $\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }$

=> $\sigma = 0.02106$

Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

$P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))$

Here $\^ p$ is the sample proportion of persons with a college degree.

So

$P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )$

Here

$\frac{[\^p - p] - p}{\sigma } = Z (The\ standardized \ value \ of\ (\^ p - p))$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 } < Z < \frac{-0.47 + 0.52}{0.02106 }]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[ -2.37 < Z < 2.37 ]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(Z < 2.37 ) - P(Z < -2.37 )$

From the z-table the probability of (Z < 2.37 ) and (Z < -2.37 ) is

$P(Z < 2.37 ) = 0.9911$

and

$P(Z < - 2.37 ) = 0.0089$

So

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) =0.9911-0.0089$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = 0.9822$

=> $P(| \^ p - p| < 0.05 ) = 0.9822$

3 0

3 years ago

Pls answer correctly c:

sergey [27]

Answer:

they are already correct first true second true third false and 4th true

Step-by-step explanation:

np brainliest?

4 0

3 years ago

Mr.edwards is making sandwiches.he has 4 pounds of cheese.he put 1/8 pound of cheese in each sandwich. what is the total number

dem82 [27]

Answer: 32 sandwiches

explanation: well, if one sandwich uses one eighth of a pound of cheese, that means that eight eighths of a pound (i.e one whole pound) would make eight sandwiches. Since we know that there are four pounds of cheese altogether, we can use this ratio (8 sandwiches per every 1 pound of cheese) to calculate that he made 32 sandwiches (8 times 4).

5 0

4 years ago