MATHEMATICS HIGH SCHOOL

30 is 2 times as much as 15


true or false?

Answers

Answer 1
Answer:

It's True.

15 x 2 = 30

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 247 days and standard deviation sigma equals 16 days. Complete parts​ (a) through​ (f) below.

Answers

Answer:

The answer is given below

Step-by-step explanation:

a) What is the probability that a randomly selected pregnancy lasts less than 242 days

First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:

z=(x-\mu)/(\sigma)

Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,

z=(x-\mu)/(\sigma)=(242-247)/(16)=-0.31

From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783

(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

If a sample of 17 pregnancies is obtained, the new mean \mu_x=\mu=247, the new standard deviation: \sigma_x=\sigma/√(n) =16/√(17) =3.88

c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less

z=(x-\mu)/(\sigma/√(n) )=(242-247)/(16/√(17) )=-1.29

From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985

d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?

z=(x-\mu)/(\sigma/√(n) )=(242-247)/(16/√(49) )=-2.19

From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143

(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?

It would be unusual if it came from mean of 247 days

f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean

For x = 236 days

z=(x-\mu)/(\sigma/√(n) )=(236-247)/(16/√(20) )=-3.07

For x = 258 days

z=(x-\mu)/(\sigma/√(n) )=(258-247)/(16/√(20) )=3.07

From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ? Use the distance formula to help you decide: .

Answers

m=6,a'b'=3.5 square root 37

Answer:

The slope is m=6 and length of line isd' =3.5√(37)

Step-by-step explanation:

Given : The endpoints of line AB are A(2, 2) and B(3, 8). Line AB is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image line A'B' .

To find : What are the slope (m) and length of line AB?

Solution :

The slope of a line does not change.

Slope formula is,

m=(y_2-y_1)/(x_2-x_1)

The slope of AB A(2, 2) and B(3, 8) is :  

m=(8-2)/(3-2)\n\nm=(6)/(1)\n\nm=6

Distance formula, d = √((x_2-x_1)^2 + (y_2-y_1)^2)

The length of AB by distance formula,

d = √((3 - 2)^2+(8-2)^2)\nd = √((1)^2+(6)^2)\nd=√(1+36)\nd=√(37)

Line AB is dilated by a scale factor of 3.5.     

The length of A'B' is :

d' =3.5*√(37)\nd' =3.5√(37)

Therefore, The slope is m=6 and length of line isd' =3.5√(37)

HELP? NEED HELP WITH SECOND ONE!!!

Answers

I think it is rational I’m sorry this is wrong.

(14d2 - 8) + (6d2 - 2d +1)

Answers

Step-by-step explanation:

Angle 1 and angle 2 are a linear pair. Measure of angle 1 = x-36, and measure of angle 2 = x+84. Find the measure of each angle.

Answers

angle1 + angle2 = 180°(because they are a linear pair)
or, (x-36) + (x+84) = 180
or, x - 36 + x + 84 = 180
or, 2x + 48 = 180
or, 2x = 180 - 48
or, 2x = 132
or, x = 132/2
therefore, x = 66
angle1 = (x - 36) = 66-36 = 30°
angle2 = (x+84) = 66+ 84 =150°
linear pair means supplementary so
x-36+x+84=180
2x+48=180
2x=132
x=66
Therefore angle 1 is 30 while angle 2 is 150

The ratio 3/8 to 4/9 has a unit rate of 1/6 true or false

Answers

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. the ratio 3/8 to 4/9 has a unit rate of 1/6 is false.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given ratio is  three by eight to four by nine

3/8 to 4/9

This can be written as 3/8 :4/9

and also we can write

(3/8)/(4/9)

When a fraction is divided by another fraction, the denominator fraction is multiplied by reciprocal to the numerator.

So

3/8×9/4

27/32

3/8 to 4/9 has a unit rate of 27/32 but not 1/6.

Hence the ratio 3/8 to 4/9 has a unit rate of 1/6 is false.

To learn more on Ratios click:

brainly.com/question/1504221

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Answer:

The ratio 3/8 to 4/9 has a unit rate of 1/6 true or fals

Step-by-step explanation:

The ratio 3/8 to 4/9 has a unit rate of 1/6 true or fals
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