What are exactly two sums that are equivalent to 7(10a+3b)

Lilit [14]

V=(pi)r 2 h. ( volume is equal to pi times radius squared times height). V= pi 2^2 x8
Pi times 4times8= pi times 32. Put in a calculator pi times 32 and you get 100.5 cubic inches ( I haven’t done this in awhile but I think this is correct)

8 0

3 years ago

Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4

Romashka [77]

The triangles ABC and A'B'C' are shown in the diagram below. The transformation is a reflection in the line $y=-x$ . This is proved by the fact that the distance between each corner ABC to the mirror line equals to the distance between the mirror line to A'B'C'.

6 0

3 years ago

Find the distance between the point (2, 3) and the line 4x + 3y = 10 (round your answer to the nearest tenth).

Monica [59]

Explanation

Let's first graph the elements:

Using the distance formula we get:

$d=\frac{|4(2)+3(3)-10|}{\sqrt{4^2+3^2}}$ $d=\frac{|7|}{\sqrt{25}}=\frac{7}{5}=1.4$

4 0

1 year ago

A business owes $8000 on a loan. Every month, the business pays 12 of the amount remaining on the loan.

steposvetlana [31]

<span>$125 is to be paid during the 6th month.</span>

6 0

3 years ago

Several years ago, 50% of parents who had children in grades K-12 were satisfied with the quality of education the students r

galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1095, \pi = \frac{478}{1095} = 0.4365$

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:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612$

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

5 0

3 years ago