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2 years ago

25. The triangle below can be subject to reflection, ,

Mathematics

2 answers:

Sergio039 [100]2 years ago

7 0

Answer:

Step-by-step explanation:

slega [8]2 years ago

6 0

Answer:

Step-by-step explanation:

B is the only answer that has the same numbers as the figure included. Triangle side size does not change in a reflection, rotation, or translation.

Hope this helps! :)

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A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence paral

denis23 [38]

Answer:

F = 3x +(2.7×10^7)/x

Step-by-step explanation:

The formulas for area and perimeter of a rectangle can be used to find the desired function.

The area of the rectangle will be the product of its dimensions:

A = LW

Using the given values, we have ...

13.5×10^6 = xy

Solving for y gives ...

y = (13.5×10^6)/x

<h3>Perimeter</h3>

The perimeter of the rectangle is the sum of the side lengths:

P = 2(L+W) = 2(x+y)

<h3>Fence length</h3>

The total amount of fence required is the perimeter plus one more section that is x feet long.

F = 2(x +y) +x = 3x +2y

Substituting for y, we have a function of x:

F = 3x +(2.7×10^7)/x

<em>Additional comment</em>

The length of fence required is minimized for x=3000. The overall size of that fenced area is x=3000 ft by y=4500 ft. Each half is 3000 ft by 2250 ft. Half of the total 18000 ft of fence is used for each of the perpendicular directions: 3x=2y=9000 ft.

4 0

1 year ago

The time taken to deliver a pizza has a uniform probability distribution from 20 minutes to 60 minutes. What is the probability

Whitepunk [10]

Answer:

(1) The probability that the time to deliver a pizza is at least 32 minutes is 0.70.

(2a) The percentage of results more than 45 is 79.67%.

(2b) The percentage of results less than 85 is 91.77%.

(2c) The percentage of results are between 75 and 90 is 15.58%.

(2d) The percentage of results outside the healthy range 20 to 100 is 2.64%.

Step-by-step explanation:

(1)

Let <em>Y</em> = the time taken to deliver a pizza.

The random variable <em>Y</em> follows a Uniform distribution, U (20, 60).

The probability distribution function of a Uniform distribution is:

$f(x)=\left \{ {{\frac{1}{b-a};\ x\in [a, b] } \atop {0};\ otherwise} \right.$

Compute the probability that the time to deliver a pizza is at least 32 minutes as follows:

$P(Y\geq 32)=\int\limits^{60}_{32} {\frac{1}{b-a} } \, dx \\=\frac{1}{60-20} \int\limits^{60}_{32} {1 } \, dx\\=\frac{1}{40}\times[x]^{60}_{32}\\=\frac{1}{40}\times[60-32]\\=0.70$

Thus, the probability that the time to deliver a pizza is at least 32 minutes is 0.70.

(2)

Let <em>X</em> = results of a certain blood test.

It is provided that the random variable <em>X</em> follows a Normal distribution with parameters $\mu = 60$ and $s = 18$ .

The probabilities of a Normal distribution are computed by converting the raw scores to <em>z</em>-scores.

The <em>z</em>-scores follows a Standard normal distribution, N (0, 1).

(a)

Compute the probability that the results are more than 45 as follows:

$P(X>45)=P(\frac{X-\mu}{\sigma}> \frac{45-60}{18})=P(Z>-0.833)=P(Z$

The percentage of results more than 45 is: $0.7967\times100=79.67\%$

Thus, the percentage of results more than 45 is 79.67%.

(b)

Compute the probability that the results are less than 85 as follows:

$P(X$

The percentage of results less than 85 is: $0.9177\times100=91.77\%$

Thus, the percentage of results less than 85 is 91.77%.

(c)

Compute the probability that the results are between 75 and 90 as follows:

$P(75$

The percentage of results are between 75 and 90 is: $0.1558\times100=15.58\%$

Thus, the percentage of results are between 75 and 90 is 15.58%.

(d)

Compute the probability that the results are between 20 and 100 as follows:

$P(20$

Then the probability that the results outside the range 20 to 100 is: $1-0.9736=0.0264$ .

The percentage of results outside the range 20 to 100 is: $0.0264\times100=2.64\%$

Thus, the percentage of results outside the healthy range 20 to 100 is 2.64%.

4 0

3 years ago

I forgot how to do this

Mamont248 [21]

To find the area of the rectangle, do A=lw which is 4x13=52. to find the area of the triangle, first find the height. this is 13-6=7. now do A=bh/2 which is (5x7)/2=17.5. 17.5+52=69.5 which is your answer. DONT OPEN ANY LINKS ON HERE, ITS A VIRUS

7 0

2 years ago

Read 2 more answers

Which of the following is an irrational number?

I am Lyosha [343]

Hi!

<h3>An irrational number is a number that cannot be written as a ratio or a fraction. </h3><h3>Let's go through each answer. </h3>

A. √0.036

= 0.18973666...

<u>This is irrational, because it repeats forever.</u>

B. 7.2525

<u>This is rational, because 2525 repeats in a pattern.</u>

C. √1

= 1

<u>This is rational. (1/1)</u>

D. 10

<u>This is rational (10/1)</u>

<h2>The answer is A. √0.036.</h2>

Hope this helps! :)

-Peredhel

7 0

2 years ago

B -2(b - 2) simplified

BlackZzzverrR [31]

Answer:

b -2(b - 2)

b-2b+4

-b+4

4-b

5 0

2 years ago