WILL MARK BRAinlist help

Just number 14 pls Zoom in if needed

o-na [289]

A, dilation because the shape got larger. The other three options just move it around

8 0

3 years ago

A coin is tossed 8 times. Which of the following represents the probability of the coin landing on heads all 8 times?

ElenaW [278]

Answer:

$\large\boxed{\large\boxed{Probability=1/256\approx 0.0039}}$

Explanation:

Since, there are two possible outcomes for every toss (head or tail), the sample space for a coin tossed 8 times is 2×2×2×2×2×2×2×2 = 2⁸ = 256.

Landing on heads all 8 times is just one of the possible outcomes: HHHHHHHH ⇒ 1.

Hence, the probability is calculated from its own definition:

Probability = number of favorable outcomes / number of possible outcomes

$Probability=1/256\approx 0.0039\text{ }\leftarrow answer$

8 0

4 years ago

A medication bottle contains a total of 900mg of liquid medication. The client stated that he accidentally spilled 1/3 of the me

Alja [10]

Answer:

300 mg

Step-by-step explanation:

900 mg spilled 1/3

1/3 * 900 = 900/3 = 300mg lost

7 0

3 years ago

If triangle RST and triangle XYZ are similar, which of these equations must be true?

Delicious77 [7]

Answer: A

Step-by-step explanation:

If they are similar, that means the proportions for corresponding sides will be the same.

I personally ignore the picture and use the labels of "triangle RST and triangle XYZ" that the problem gives because the XYZ picture is not lined up with the similarity it has with RST.

(A) says that side ST is corresponding with side YZ,

[] Triangle RST and triangle XYZ

-> Correct

(A) also says that side RT is corresponding with size XZ,

[] Triangle RST and triangle XYZ

-> Correct

This means that option A is the correct answer.

4 0

2 years ago

A sample size of n = 64 is drawn from a population whose standard deviation is o = 5.6.

AlekseyPX

Answer:

The margin of error for a 99% confidence interval for the population mean is 1.8025.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem:

$\sigma = 5.6$

So

$M = 2.575*\frac{5.6}{\sqrt{64}} = 1.8025$

The margin of error for a 99% confidence interval for the population mean is 1.8025.

5 0

3 years ago