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choli [55]
2 years ago
15

If the tangent of an angle of a right angled triangle is 0.8 , then it's longest side is

Mathematics
1 answer:
Blababa [14]2 years ago
8 0

Step-by-step explanation:

  • Assume non-hypotenuse sides are 4 and 5, so tan =4/5=0.8 . Then hypotenuse is sqrt(16+25) = sqrt(41) So sides are 4,5,sqrt (41).
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In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard dev
tresset_1 [31]

Answer:

The standard deviation of that data set is 3.8

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 55

95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.

Using one of these points.

55 + 2sd = 62.6

2sd = 7.6

sd = 7.6/2

sd = 3.8

The standard deviation of that data set is 3.8

6 0
2 years ago
sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60 : 36 by 1 . Is Sophia c
guapka [62]

Answer:

No multiplying both quantities in the ratio 60 : 36 by 1  would not give the answer .

But multiplying both quantities in the ratio 60 : 36 by 1/6  would solve it.

Step-by-step explanation:

Multiplying any number or ratio by 1 gives the same answer no matter what the expression or how much bigger the number is.This will not give the solution .

If it is multiplied with a fraction like 1/6  that would give the correct answer.

Multiplying it with 1/6 reduces the ratio and gives a better estimate.

A:B

60:36

60*1/6: 36*1/6

10: 6

Meaning that for a total of 16 there are 10 of category A and 6 of category B.

But if we do the same procedure with the answer is same which does not solve the question.

A:B

60:36

60*1: 36*1

60: 36

4 0
2 years ago
gil owns a life insurance policy that he purchased when he first graduated college it has a 100000 death benefit and gil pays pr
Scorpion4ik [409]
The insurance Gil has is most likely individual life insurance.

7 0
2 years ago
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Complete the square to solve the equation below x^2 + 10x - 13 = 17
liberstina [14]

Answer:

See below in exact form

or

2.42, -12.42   to the nearest hundredth.

Step-by-step explanation:

x^2 + 10x - 13 = 17

(x + 5)^2 - 25 - 13 = 17

(x + 5)^2 = 17 + 38 = 55

x + 5 = +/- √55

x =  -5 + √55,  -5 - √55.

6 0
2 years ago
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A proper unbiased coin was tossed 10 times for 3 trials, giving TTHHTHTTHH, TTTTTHHHHH, and THTHHHTTHT (T = Tails; H = Heads). W
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Theoretical is what you think will be the outcome vs. actually doing it...hope this helps
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