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guajiro [1.7K]
2 years ago
12

Mrs. Purdue needs to pick three random students in her class to be representatives on the student council. Explain how Mrs. Purd

ue could use slips of paper to generate a random sample.
Mathematics
1 answer:
Xelga [282]2 years ago
5 0

Answer:

See below

Step-by-step explanation:

She could have each student in the class write his or her name on a slip of paper and put it in a bowl. Then, she could shake the bowl and pull out any slip of paper with a student's name on it. After 3 times, the random sample would be over, and Mrs. Purdue would have her 3 representatives.

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A rectangular rug is 12.5 feet long and 10 feet wide. The rug needs to be reduced by a factor of One-fifth to be placed near a d
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You would do 12.5 x10 then divided it by 1/5
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The school nurse is low on bandaids. She heads to the store and finds four brands. Which one is the BEST buy?
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how much are they, how much in each pack
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8 − <br> 1<br> 2<br> x = −6(<br> 3<br> 4<br> x − 2) + 4
Annette [7]

Answer:

1/24

Step-by-step explanation:

8-12x = -204 + 12 +4

3 0
3 years ago
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Will someone please help me!!! I don’t know the answer to these! I don’t even know if I did them right!
Varvara68 [4.7K]

Answer:

BD = 12 units

AB = 16 units

FG=\sqrt{105}

EC=4\sqrt{10} units

AC=8\sqrt{10} units

Step-by-step explanation:

A circumcenter is the point  where the perpendicular bisectors of a triangle intersect.

This means

  • BD = DC;
  • BF = FA;
  • AE = EC.

Since BC = 24 units, then BD = 12 units (half of BC).

Since FA = 8 units, AB = 16 units (twice FA).

Consider right triangle BGF. In this triangle, BF = 8 units (congruent to FA), BG = 13 units. By the Pythagorean theorem,

FG^2=BG^2-BF^2\\ \\FG^2=13^2-8^2\\ \\FG^2=169-64=105\\ \\FG=\sqrt{105}\ units

Triangles BFG and AFG are congruent right triangles, then BG = AG. In right triangle AGE, GE=3 units, AG=13 units. By the Pythagorean theorem,

AE^2=AG^2-GE^2\\ \\AE^2=13^2-3^2=169-9=160\\ \\AE=\sqrt{160}=4\sqrt{10}\ units

AE = EC=4\sqrt{10}\ units

AC = 2AE=2\cdot 4\sqrt{10}=8\sqrt{10}\ units

5 0
3 years ago
A cable 45 m long runs from the top of a utility pole to a point on the ground 40 m from the base of the pole. How tall is the u
JulijaS [17]

Answer:

20.6 m

Step-by-step explanation:

Hi there!

Assuming that the utility pole makes a 90-degree angle with the ground, this scenario creates a right triangle.

The 45 m-long cable is the hypotenuse and the 40 m between the base of the pole and the cable is one of the legs.

We must solve for the height of the utility pole, which is essentially the other leg of the right triangle.

We can use the Pythagorean theorem: a^2+b^2=c^2 where a and b are the legs and c is the hypotenuse

Plug in the known information (leg=40, hyp=45)

40^2+b^2=45^2\\1600+b^2=2025\\b^2=2025-1600\\b^2=425\\b=20.6

Therefore, when rounded to the nearest tenth, the height of the utility pole is 20.6 m.

I hope this helps!

4 0
3 years ago
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