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3 years ago

Please quick responses!!

Mathematics

1 answer:

mamaluj [8]3 years ago

4 0

Answer:

6 7/8 inches

Step-by-step explanation:

The first thing to do is to get the measurements in either inches or feet. You can't have both. Let's go from feet to inches.

3 feet = 36 inches

13.75 feet = 165 inches

Now we can set up a proportion to solve for the number of inches the model is:

$\frac{model}{real}:\frac{1.5}{36} =\frac{x}{165}$

Now we can cross multiply:

36x = 247.5 so

x = 6.875 or 6 7/8 inches

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Select the choice which shows all of the diagonals in this polygon and tells how many there are.

Leona [35]

Answer:

Answer C

Step-by-step explanation:

If the polygon has n sides, then the number of diagonals the polygon has is

(n - 3)*n/2

So for a seven sided figure the number of diagonals would be

(7 - 3)(7)/2 = 4*7/2 = 28/2 = 14

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3 years ago

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4) What is the equation of the line that passes through the points (3,0) and 2 points

liubo4ka [24]

Presume y=kx +b,then substitute (3,0)&(5,4),
When x=3,y=0,so 3k+b=0;
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3 years ago

If an urn has 5 white balls 10 red balls what is the probability that 5 randomly selected balls contain exactly 3 white balls?

kondaur [170]

Answer:

0.15

Step-by-step explanation:

Without Mincing words let us dive straight into the solution to the question above. We are given the following information which is going to aid in solving this particular question.

====> It is given, that there are 5 white balls and 10 red balls. Hence, the number of the total balls = 5 white balls + 10 red balls = 15 balls.

Therefore, the probability that 5 randomly selected balls contain exactly 3 white balls = $\left[\begin{array}{ccc}5\\3\end{array}\right]$ × $\left[\begin{array}{ccc}10\\2&\end{array}\right]$ ÷ $\left[\begin{array}{ccc}15\\3\\\end{array}\right]$ = 450 ÷ 3003 = 0.15

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3 years ago

Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet

Karolina [17]

It would be 6 units high

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3 years ago

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A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student

yan [13]

Answer:

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the difference between population means is:

$CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}$

The information provided is as follows:

$n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43$

The critical value of <em>z</em> for 98% confidence level is,

$z_{\alpha/2}=z_{0.02/2}=2.326$

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

$CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}$

$=(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)$

Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

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3 years ago