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Anastasy [175]
2 years ago
14

The ratio measures of two complementary angles is 5:4. what is the measure of the lager angle ​

Mathematics
1 answer:
Aloiza [94]2 years ago
4 0

Answer:

5=50

4=40

Step-by-step explanation:

the angles are 5x and 4x because 5x:4x is 5:4

And it is equal to 90

5x + 4x = 90

9x=90

x=10

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Michael paid $16.40 for 20.5 centimeters of wire. Find the unit price in dollars per centimeter. If necessary round your answer
Korvikt [17]

Answer:

$0.80

Step-by-step explanation:

$16.40 ÷ 20.5 = 0.80

You can check your work by doing :

20.5 cm of wire × $0.80 = $16.40

4 0
3 years ago
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
2 time something give u 625
kiruha [24]
2 times 312.5 equals 625
3 0
3 years ago
Read 2 more answers
Let f(x)=x^2+2x+3 . What is the average rate of change for the quadratic function from x=−2 to x = 5?
miskamm [114]
To find the average rate of change of  given function f(x) on a given interval (a,b):

Find f(b)-f(a), b-a, and then divide your result for f(b)-f(a) by your result for b-a:


f(b) - f(a)
------------
    b-a

Here your function is f(x) = x^2 - 2x + 3.  Substituting b=5 and a=-2,
f(5) = 5^2 -2(5)+3 =?                          and f(-2) = (-2)^2 - 2(-2) + 3 = ?


Calculate           f(5) - [ f(-2) ]
                         ------------------ using your results, above.
                              5 - [-2]

Your answer to this, if done correctly, is the "average rate of change of the function f(x) = x^2+2x+3 on the interval [-2,5]."
5 0
3 years ago
The following graph shows the low temperatures for the past six nights. Which night had a low temperature of 26°F?
Rasek [7]
The Correct answer is A
7 0
3 years ago
Read 2 more answers
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