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taurus [48]
3 years ago
8

The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other squar

e. What is the length of each side of the larger square
Mathematics
1 answer:
Tanya [424]3 years ago
8 0
Let side of smaller square = x then the side of larger one = 2x.
totalerea = 45 so:-

x^2 + (2x)^2 = 45
x^2 + 4x^2 = 45
5x^2 = 45
x^2 = 9
x = 3

Length of each side of larger square = 6 

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Did I do this correctly and if any errors just tell me in the comments
yulyashka [42]
Looks good to me! ;)
5 0
3 years ago
Read 2 more answers
Help&amp;EXPLAIN <br><br> Don’t use for points or I’ll take it back and report
Marrrta [24]

Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees. So the third angle in the triangle is

90+32+a=180

a+122=180

a=58

Now angle x is adjacent to angle a so their sum must equal 180 degrees so

x+58=180

x=122 degrees

3 0
3 years ago
1. A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at n
Nuetrik [128]

Using the binomial distribution, it is found that there is a 0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

For each fatality, there are only two possible outcomes, either it involved an intoxicated driver, or it did not. The probability of a fatality involving an intoxicated driver is independent of any other fatality, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 70% of fatalities involve an intoxicated driver, hence p = 0.7.
  • A sample of 15 fatalities is taken, hence n = 15.

The probability is:

P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

Hence

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{15,10}.(0.7)^{10}.(0.3)^{5} = 0.2061

P(X = 11) = C_{15,11}.(0.7)^{11}.(0.3)^{4} = 0.2186

P(X = 12) = C_{15,12}.(0.7)^{12}.(0.3)^{3} = 0.1700

P(X = 13) = C_{15,13}.(0.7)^{13}.(0.3)^{2} = 0.0916

P(X = 14) = C_{15,14}.(0.7)^{14}.(0.3)^{1} = 0.0305

P(X = 15) = C_{15,15}.(0.7)^{15}.(0.3)^{0} = 0.0047

Then:

P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.2061 + 0.2186 + 0.1700 + 0.0916 + 0.0305 + 0.0047 = 0.7215

0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

A similar problem is given at brainly.com/question/24863377

5 0
3 years ago
What is the value of z
vampirchik [111]

Answer:61

Step-by-step explanation:

Z+Z-11=Z+50

2Z-11=Z+50

Collect like terms

2Z-Z=11+50

Z=61

4 0
3 years ago
How would you do number 8?
Aloiza [94]

Answer:

9^2

so it is (m+9)^2

Step-by-step explanation:

i guess that is the correct answer

4 0
3 years ago
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