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asambeis [7]
3 years ago
13

Someone answer please!!!

Mathematics
2 answers:
bazaltina [42]3 years ago
8 0

Answer:

3.4

Step-by-step explanation:

both angles are equal, i.e 16x - 9 = 45.

the value of x is 3.375

Sophie [7]3 years ago
5 0

Answer:

The value of x is 9.

Step-by-step explanation:

i used the equation (16x-9) + 45 = 180

1. i added -9 +45 i got 36

2. 16x + 36 = 180

3. i subtract 36 from 36 and 180

4. 16x=144

5. i divide 16 from 16x and 144

6. x=9

I hope this helped! :)

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The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab
erastova [34]

Answer:

the probability that the sample mean will be larger than 1224 is  0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a  standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine  the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that  ;

S \sim N ( 1200,60)

the probability that the sample mean will be larger than 1224 will now be:

P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })

P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })

P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })

P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })

P(\overline X > 1224) = P(Z > 2.4 })

P(\overline X > 1224) =1 -  P(Z \leq 2.4 })

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 -  0.9918

P(\overline X > 1224) = 0.0082

Hence;  the probability that the sample mean will be larger than 1224 is  0.0082

4 0
3 years ago
If sin(x) = 0.28, what is cos(90° - x)
vlabodo [156]
\bf \textit{Cofunction Identities}
\\\\
sin\left(\frac{\pi}{2}-\theta\right)=cos(\theta)
\qquad 
cos\left(\frac{\pi}{2}-\theta\right)=sin(\theta)
\\\\\\
tan\left(\frac{\pi}{2}-\theta\right)=cot(\theta)\qquad 
cot\left(\frac{\pi}{2}-\theta\right)=tan(\theta)
\\\\\\
sec\left(\frac{\pi}{2}-\theta\right)=csc(\theta)\qquad 
csc\left(\frac{\pi}{2}-\theta\right)=sec(\theta)

therefore, sin(x) = cos(90° - x).
5 0
3 years ago
Find the area of the triangle ABC.
DerKrebs [107]

Answer:

24

Step-by-step explanation:

6*8=24

8 0
2 years ago
The temperature was 13 °F and then fell 5 degrees. What was the final temperature?
AURORKA [14]
temp is 65 degrees
6 0
2 years ago
Read 2 more answers
HELPPPPPP PLEASE! URGENT
Effectus [21]

Answer:

x=59 y= 81 z= 99

Step-by-step explanation:

z=

180-(57+24)=99

y=180-99=81

x= 40+81=121

180-121=59

3 0
2 years ago
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