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solniwko [45]
3 years ago
13

The ordered pairs (1.3) and (3.7) lie on the line the slope of that line is

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

Answer:

Slope is 2.

Step-by-step explanation:

Slope is \frac{7-3}{3-1}=\frac{4}{2}  =2

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For a sample of n=64​, the probability of a sample mean being less than 20.5 if u = 21 and sigma = 1.31 is ​(Round to four decim
Svetlanka [38]

Answer:

The mean is usual

Step-by-step explanation:

We have that the mean (m) is equal to 21, the standard deviation (sd) = 1.31 and the sample size (n) = 64

They ask us for P (x <20.5)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (20.5 - 21) / (1.31 / (64 ^ 1/2))

z = -3.05

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <-3.05) = 0.0002

The mean is usual because P (x> 20.5) = 1 - P (x <20.5) = 1 - 0.0002 = 0.9998 is a fairly high probability.

6 0
3 years ago
Triangle ABC has angle measures as shown.
pychu [463]

The sum of the angles of any triangle is 180 degrees, so we get the equation:

     (70)+(60)+(8x+2)=180\\8x+132=180\\8x=48\\x = 6

x = 6

Hope that helps!

5 0
3 years ago
Read 2 more answers
6,18,54,...<br> Find the 9th term.
eduard

Answer:

162

Step-by-step explanation:

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Seven multiplied by ten to the third power
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What is an expression for the area of the shaded region? Simplify your answer.
Reptile [31]

Answer:

if it is put into a equation this would be it

2(x^2+6x+9) - (1.57)(x^2+6x+9)

Step-by-step explanation:

(x+3)(2x+6) - 1/2(3.14)(x+3)(x+3)

(2x^2+6x+6x+18) - 1/2(3.14)(x^2+3x+3x+9)

(2x^2+12x+18) - 1/2(3.14)(x^2+6x+9)

2(x^2+6x+9) - (1.57)(x^2+6x+9)

2(x^2+6x+9) is the rectangle at the bottom

(1.57)(x^2+6x+9) is the semicircle that is taking out of the shaded area

5 0
3 years ago
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