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Lina20 [59]
3 years ago
6

MT is a diameter of OE. Calculate the measure of ZMTH.

Mathematics
1 answer:
irga5000 [103]3 years ago
8 0

Answer:

A. 17°

Step-by-step explanation:

Recall: measure of an inscribed angle = ½(intercepted arc)

Inscribed angle = m<MTH

Intercepted arc = arc MH = 34°

Therefore,

m<MTH = ½(Arc MH)

Substitute

m<MTH = ½(34)

m<MTH = 17°

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Select the two statements that are true about the equation y+6=−10(x−3).
qwelly [4]

I have taken that test (although I don't see you're statements)

I believe the statements to choose from are:

A.) The slope of the line is −10.

B.) The slope of the line is 3.

C.) One point on the line is (3, 6).

D.) One point on the line is (3,−6)

<u>The answers are:</u>

A.) The slope of the line is -10

D.) One point on the line is (3,-6)

<u>Explanation: </u>

The given equation of line is (1).  The point slope form of a line is  (2)  Where m is the slope of line and (x₁,y₁) are points.  On comparing (1) and (2) we get The slope of given line is -10 and the line passing through the points (3,-6).

6 0
3 years ago
The product of nine and the total of r and eight
yuradex [85]

Answer:

9(r + 8) = 9r +72

Step-by-step explanation:

9(r + 8)

9r + 72

Hope this helps!

7 0
2 years ago
Which equation represents line shown in the accompanying<br> diagram?
Sergeu [11.5K]
I am pretty sure it’s c because you go up 4 and over 3 to the right so that would be plus 3
5 0
3 years ago
16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours
Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:

Six calls per hour, 2 hours. So

n = 2*6 = 12

Sale on 30% of these calls, so p = 0.3

a. The probability of making exactly four sales.

This is P(X = 4).

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

P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

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

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

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

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

E(X) = np

So

E(X) = 12*0.3 = 3.6

The mean number of sales in the two-hour period is 3.6.

4 0
3 years ago
Factor completley x2-4x-12
Artist 52 [7]

Step-by-step explanation:

The answer is 4x

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