Place a point on the number line to determine the approximate value of . Round to the nearest tenth

Select one of the factors of 3x^2+10x+3

irina [24]

Answer:

( 3 x + 1 ) ( x + 3 ) is the factorised form for the expression.

3 0

3 years ago

Parallel line to 2x+3y=6 passing through (6,-3)

MissTica

Answer:

y = (-2/3)x + 1

Step-by-step explanation:

3y = -2x + 6

y = (-2/3)x + 2

y + 3 = (-2/3)(x - 6)

y + 3 = (-2/3)x + 4

y = (-2/3)x + 1

3 0

3 years ago

What is the volume, in cubic centimeters, of the gift box?

Andreas93 [3]

Answer:

450 cm^3 (Answer D)

Step-by-step explanation:

Volume of a rectangular box of dimensions L, W, H is V = L*W*H. The order in which these measurements are multiplied together is immaterial. Thus,

this particular box has volume V = (5 cm)(9 cm)(10 cm) = 450 cm^3

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

A 45-inch string is cut into 2 pieces. If the ratio of the longer piece to the shorter piece is 3:2, what is the length of the s

Amiraneli [1.4K]

The answer is 30 inches. All the answers above are incorrect.

8 0

4 years ago