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Svetlanka [38]
2 years ago
12

Find the measure of 46.

Mathematics
1 answer:
san4es73 [151]2 years ago
7 0

?=118°

Answer:

<6+62=180 co interior angle

<6=180-62=118°

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Use the cumulative normal distribution table to find the z-scores thqt bound the middle of 68% of theje area under the stanrard
padilas [110]

Answer:

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Middle 68%

Between the 50 - (68/2) = 16th percentile and the 50 + (68/2) = 84th percentile.

16th percentile:

X when Z has a pvalue of 0.16. So X when Z = -0.995

84th percentile:

X when Z has a pvalue of 0.84. So X when Z = 0.995.

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

7 0
3 years ago
With work attached please
sasho [114]

Answer:

45

Step-by-step explanation:

You already solved that the 2 angles of the triangle are 55° and since all of the angles are on a straight line, they add up to 180°

and the equation becomes...

3x-10+55=180

3x+45=180

Subtract 45 from both sides

3x=135

Divide by 3

x= 45

Then to double check you plug 45 as the value of x in.

3(45)-10+55=180

135-10+55=180

125+55=180

180=180

7 0
3 years ago
Why is cos(nπ) = (–1)n true, when n could be any integer?
rodikova [14]

its true because -1 to even power is positive, -1 to odd power is negative

6 0
3 years ago
Read 2 more answers
(x-1)(x-3)(x+5)(x+7)=297
mihalych1998 [28]

First simplify the expression into polynomial form,

(x-1)(x-3)(x+5)(x+7)=297

x^4+8x^3-10x^2-104x+105=297

x^4+8x^3-10x^2-104x-192=0

Now factor into,

(x-4)(x+8)(x^2+4x+6)=0

Which means the solutions are,

x-4=0\implies\boxed{x_1=4}

x+8=0\implies\boxed{x_2=-8}

and then two complex solutions because determinant of the third factor D\lt0,

x^2+4x+6=0

x^2+4x+4=-2

(x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Which of the following best describes the expression 12(X+3)
nydimaria [60]

Answer: 12x+36

Step-by-step explanation:

If you use distributive property, 12 x X is 12x and 12 x 3 is 36 so you get 12x+36

5 0
3 years ago
Read 2 more answers
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