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Travka [436]
3 years ago
5

What is the midpoint of the segment shown below? (-2,3) (10,3)

Mathematics
1 answer:
saveliy_v [14]3 years ago
7 0

Answer:

(-2+10)/2= 8/2=4

(3+3)/2=6/2=3

(4,3)

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In forming a contract, the “meeting of the minds” is _____.
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The average life of individual is 70 years. With a standard deviation of 5.5 years. Assume that the lives of these individuals i
Harlamova29_29 [7]

Answer:

The answer is below

Step-by-step explanation:

Given that:

mean (μ) = 70 years, standard deviation (σ)= 5.5 years.

a) The z score measures how many standard deviation a raw score is above or below the mean. It is given as:

z=\frac{x-\mu}{\sigma}, for a sample size of n, the z score is: z=\frac{x-\mu}{\sigma/\sqrt{n} }

Given a sample of 5 turtles, we have to calculate the z score for x = 60 and x = 80.

For x = 60:

z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{60-70}{5.5/\sqrt{5} } =-4.07

For x = 80:

z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{80-70}{5.5/\sqrt{5} } =4.07

The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%

b) The z score that corresponds to top 10% is -1.28.

z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\-1.28=\frac{x-70}{5.5/\sqrt{5} }\\ x-70=-3\\x=70-3\\x=67\ years

3 0
3 years ago
9. In City A, the temperature rises 9 from 8 A.M. to 9 A.M. Then the temperature drops 8 from 9 A.M. to 10 A.M. In City B, the t
sammy [17]

Answer:

B. 8 + (-7)

Step-by-step explanation:

5 0
3 years ago
Claudia was cooking breakfast for her entire family she may double the amount of chocolate chip pancakes as she did regular panc
maw [93]

Answer: she made 36 chocolate chip pancakes, 18 regular pancakes, 9 blueberry pancakes and 27 sausagesl

Step-by-step explanation:

Let w represent the number of chocolate chip pancakes that she made.

Let x represent the number of regular pancakes that she made.

Let y represent the number of blueberry pancakes that she made.

Let z represent the number of sausages that she made.

she made double the amount of chocolate chip pancakes as she did regular pancakes. This means that

w = 2x

x = w/2

she only made half as many blueberry pancakes and she did regular pancakes. This means that

y = x/2

y = w/4

she made triple the amount of sausage as blueberry pancakes. This means that

z = 3y

z = 3w/4

if she cooked 90 items total, it means that

w + x + y + z = 90 - - - - - - - - - -1

Substituting x = w/2, y = w/4 and z = 3w/4 into equation 1, it becomes

w + w/2 + w/4 + 3w/4 = 90

Multiplying through by 4, it becomes

4w + 2w + w + 3w = 360

10w = 360

w = 360/10

w = 36

x = w/2 = 36/2

x = 18

y = w/4 = 36/4

y = 9

z = 3y = 3 × 9

z = 27

6 0
3 years ago
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