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3 years ago

Please find the missing side of this triangle

Mathematics

1 answer:

Strike441 [17]3 years ago

7 0

The answer is 15.01

First you need to find the other angle of the triangle so you do 90+25 which gives you 115 and subtract that by 180 because all angles of a triangle add up to 180. That gives you 65 then you will use TAN(65) and get 2.144506920509559 which you will then multiple by 7 to get 15.01154844356691 which you then round to get 15.01!

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2. Create an estimated probability distribution for the time teens spend texting.

Furkat [3]

Answer:

Hours 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0

Frequency* 0.2 0.09 0.25 0.18 0.11 0.07 0.05 0.02 0.01 0.02 0.01

Problem Statement:

The table shows the number of hours, to the nearest half hour per day, that teens spend texting according to a random sample of 870 teenagers aged 13–18 in a large urban city.

Hours 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0

Frequency 170 82 220 153 92 58 40 15 12 18 10

Step-By-Step Explanation:

As we need the estimated probability distribution for teens spending time texting, we will be needing the total sample size.

As given in the problem statement,

Total Sample Size = 870

To calculate estimated probability distribution, we will convert the frequency sample into estimated probability distribution, for that:

Estimated Probability Distribution (Frequency*)= $\frac{Frequency.Sample.Size.of.that.hour}{Total.Sample.Size}$

For Example:

Estimated probability distribution that teens spend 0 hours texting= $\frac{170}{870} =0.20$

Similarly

Estimated probability distribution that teens spend 0.5 hours= $\frac{82}{870} =0.09$

Using the same formula we get:

Hours 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0

Frequency* 0.2 0.09 0.25 0.18 0.11 0.07 0.05 0.02 0.01 0.02 0.01

(Note: Frequency* is the estimated probability distribution)

4 0

3 years ago

Read 2 more answers

Which mathematical expression is equivalent to the number sentence below

alexandr1967 [171]

Solution :

It says multiply 8 by 12 and then add 9

reading the sentence it is clear that priority is given to multiplication of 8 and 12 , once it is done then we would add 9 .

Let us first write multiplying 8 and 12 which makes it 8 x 12

the result is being add to 12 so we place 8x12 in parenthesis then add 12

which , makes it : ( 8x12) + 9

this matches to now of the given options so it is because multiplication is always given a priority comparing to addition so here parenthesis is not that important .

we can write it without parenthesis like : 8x12 +9

Answer is third option .

3 0

4 years ago

Read 2 more answers

Given the following angles, what ray is the common side of ∠cfd and ∠dfe?

Ipatiy [6.2K]

Ray df or ray fd because both of these letters are consecutive in both of the angles.

8 0

3 years ago

Help me please just give the correct answer!

belka [17]

I’m pretty sure it’s 12

4 0

3 years ago

Which expression have the same value as the product of 2.7 and 4

tamaranim1 [39]

Answer:

Step-by-step explanation:

this is simple, not sure you need to compare with something

2.7*4=10.80

6 0

3 years ago