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blsea [12.9K]
2 years ago
14

R(-9, 4) and S(2,-1); Find T.

Mathematics
1 answer:
madreJ [45]2 years ago
3 0

Answer:

12.083 units

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Where

(x_1,y_1) = (-9,4)

(x_2,y_2) = (2,-1)

Replacing these values in the distance formula

D =\sqrt{(-9-2))^2+(4-(-1))^2}

D =\sqrt{(-11)^2+(5)^2}

D =\sqrt{121+25}

D =\sqrt{146}

D= 12.083

Hence the distance is 12.083 units

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It is 1 1/4 miles from Ahmed’s house to school. How far does Ahmed’s travel in 5 days walking to school and back
Sauron [17]

Ahmed travel 12\frac{1}{2} miles in 5 days walking to school and back.

Step-by-step explanation:

Distance from house to school = 1\frac{1}{4} miles

Distance from school to house = 1\frac{1}{4} miles

Total distance in 1 day = 1\frac{1}{4}+1\frac{1}{4}=\frac{5}{4}+\frac{5}{4}

Total distance in 1 day = \frac{5+5}{4}=\frac{10}{4}

Distance traveled in 5 days = 5*\frac{10}{4}=\frac{50}{4}

Distance traveled in 5 days = \frac{25}{2}=12\frac{1}{2}

Ahmed travel 12\frac{1}{2} miles in 5 days walking to school and back.

Keywords: fraction, addition

Learn more about fractions at:

  • brainly.com/question/10435816
  • brainly.com/question/10435836

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5 0
2 years ago
There is a 0.9991 probability that a randomly selected 31​-year-old male lives through the year. A life insurance company charge
jarptica [38.1K]

Answer:

a) Monetary values corresponding to the two events are:

-In case of surviving the year = -166$

-In case of a death in the year = 89834$

b) Expected value of the purchasing the insurance is -85 $

c) Yes, insurance company can make a profit with this policy.

Step-by-step explanation:

<em>a)</em> The man need to pay 166$ first to enroll the insurance policy. If he survives within a year, he will lose 166$. Otherwise, if he dies within a year he will profit 89834$.

<em>b)</em> Expected value of the purchasing the insurance as following:

<u>-In case of surviving the year: </u>

Value: -166$

Probability: 0,9991

<u>-In case of death in a year </u>

Value: 89834$

Probability: 0,0009

Expected value is E(x) = -166×0,9991 + 89834×0,0009 = -85 $

<em>c)</em> Lets consider that 10000 different 31 year old man enrolled to this insurance policy. According to probability of death, 9 out of 10000 man expected to be dead within the year. Therefore, company need to pay 9*90000 = 810000$ to their costumers. But, company will collect 10000*166=1660000$ from their costumers in the beginning of the year

So, it is expected that company is going to profit 1660000-810000=850000$ per year.

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2 years ago
Determine the possible survey questions that could be used to collect data on a population that consists of elementary school st
lesantik [10]

Answer:

A an D. What is the average number of days per week that you color with markers? and What is your favorite type of pet?

Step-by-step explanation:

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2 years ago
A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The hei
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Answer:

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Step-by-step explanation:

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4 0
1 year ago
Read 2 more answers
A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank an
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Option A

The restaurant Manager can afford at most 10 employees for the day

<em><u>Solution:</u></em>

Given that restaurant manager can spend at most $600 a day for operating costs and payroll

It costs $100 each day to operate the bank and $50 dollars a day for each employee

The given inequality is:

50x + 100\leq 600

Where , "x" is the number of employees per day

Let us solve the inequality for "x"

50x + 100\leq 600

Add -100 on both sides of inequality

50x + 100 - 100\leq 600 - 100\\\\50x\leq 500

Divide by 50 on both sides of inequality

\frac{50x}{50}\leq \frac{500}{50}\\\\x\leq 10

Hence the restaurant Manager can afford at most 10 employees for the day

Thus option A is correct

6 0
2 years ago
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