Write 3/100 as a decimal

ladessa [460]

To find the value of C: Use the Pythagorean Theorem

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

sqrt of 25 = c

c = 5

7 0

3 years ago

A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data fro

daser333 [38]

Answer:

a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.

This means that $n = 1664, \pi = \frac{939}{1664} = 0.5643$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588$

The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?

Yes, because the confidence interval is entirely above 0.5.

Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

8 0

2 years ago

50 POINTS HELP PLS

Lubov Fominskaja [6]

Answer:

this the answery=x/3+2

7 0

3 years ago

A 5-pound bag at Bargain Mart costs $6.45. A 2-pound bag at Food Saver costs $2.50. A 7-pound bag at Grocery Surplus costs $9.45

levacccp [35]

Answer: Food Saver

Step-by-step explanation:

A 5-pound bag at Bargain Mart costs $6.45. The coat per pound will be:

= $6.45 / 5

= $1.29

A 2-pound bag at Food Saver costs $2.50. The cost per pound will be:

= $2.50 / 2

= $1.25

A 7-pound bag at Grocery Surplus costs $9.45. The cost per pound will be:

= $9.45 / 7

= $1.35

A 10-pound bag at Economart costs $12.89. The cost per pound will be:

= $12.89 / 10

= $1.289

Therefore, the shop which sells flour for the lowest unit price is Food Saver.

5 0

2 years ago

Point P is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of P A is 2

Orlov [11]

Answer:

C. No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

Step-by-step explanation:

Dilation is the process in which the size i.e dimensions of a given figure is either increased or decreased by a scale factor, without changing the shape of the figure.

Given that: PA = 2, PB = 3, A $A^{I}$ = 4, B $B^{I}$ = 5.

So that: P $A^{I}$ = 6, P $B^{I}$ = 8.

Therefore, triangle A'B'C' is not an exact dilation of triangle ABC. So that the correct option is; No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

5 0

3 years ago

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Write 3/100 as a decimal​

Write 3/100 as a decimal