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4 years ago

3/4 divided by 8/9 A. 1/2 B. 2/3 C. 26/35 D. 27/32

Mathematics

2 answers:

Margaret [11]4 years ago

5 0

Answer:

D. 27/32

Step-by-step explanation:

3/4 / 8/9

3/4*9/8

27/32

Nookie1986 [14]4 years ago

4 0

Answer:

27/32

Step-by-step explanation:

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Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enroll

Papessa [141]

Answer:

The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2\frac{1.5}{\sqrt{45}} = 0.4$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12.1 - 0.4 = 11.7 units

The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.4 = 12.5 units

The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.

8 0

3 years ago

Find the equation for the parabola that has its vertex at the origin and has directrix at x=1/48

Oksana_A [137]

Answer:

The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is $x= \frac{1}{12}\cdot y^{2}$ .

Step-by-step explanation:

As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:

$x - h = 4\cdot p \cdot (y-k)^{2}$

Where:

$h$ , $k$ - Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.

$p$ - Least distance of directrix with respect to vertex, dimensionless.

Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:

$p = x_{D} - x_{V}$

$p = \frac{1}{48}-0$

$p = \frac{1}{48}$

Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is $x= \frac{1}{12}\cdot y^{2}$ .

6 0

3 years ago

How much extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a dia

Sergio039 [100]

The amount of the extra snow would a child need to take a snowball will be 636.71 cubic cm.

<h3>What is the volume of the sphere?</h3>

Let d be the diameter of the sphere.

Then the volume of the sphere will be

V = 1/6 πd³ cubic units

Then the amount of the extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a diameter of 12 cm will be

Amount of snow = 1/6 π x 12³ - 1/6 π x 8³

Amount of snow = 288 π - 85.33π

Amount of snow = 636.71 cubic cm

More about the volume of the sphere link is given below.

brainly.com/question/9994313

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4 0

2 years ago

Help pls hw 14 and 15 mostly those the rest I’ll do

Olenka [21]

Answer:

Answer 14