MATHEMATICS COLLEGE

Which of the following shows the intersection of the sets? {1, 5, 10, 15} {1, 3, 5, 7}

Answers

Answer 1

Answer:

Answer:

{ 1,5}

Step-by-step explanation:

The intersection is what the two sets have in common

{1, 5, 10, 15}∩ {1, 3, 5, 7}

= { 1,5}

Answer 2

Answer:

Answer:

{1,5}

Step-by-step explanation:

The intersection of the sets are all of the numbers that appear in both sets. In this case, the only numbers that appear in both are 1 and 5.

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A repair person is scheduled to be at your apartment between 9:00am to 12:00pm but you have to leave at 11:30 to help out a friend. If the repair person is equally likely to be at your apartment any time during the appointment time, what is the probability that you will be there?
B is the midpoint of AC, D is the midpoint of CE , and AE = 23. Find BD.12.54611.523

Use the Pythagorean Theorem and the square root property to solve the following problem. Express your answer in simplified radical form.

Then find a decimal approximation to the nearest tenth.

A rectangular park is 12 miles long and 4 miles wide. How long is a pedestrian route that runs diagonally across the park? In simplified radical form, the pedestrian route is 10 miles long.

Answers

Answer:

12.6 miles.

Step-by-step explanation:

Let L represent the length of the pedestrian.

We have been given that a rectangular park is 12 miles long and 4 miles wide. We are asked to find the length of a pedestrian route that runs diagonally across the park.

We will use Pythagoras theorem to find the length of the pedestrian (Hypotenuse).

$L^2=12^2+4^2$

$L^2=144+16$

$L^2=160$

Now, we will take positive square root of both sides:

$L=√(160)$

$L=√(16*10)$

$L=4√(10)$

$L=12.6491106$

Upon rounding to nearest tenth, we will get:

$L\approx 12.6$

Therefore, the length of the pedestrian is approximately 12.6 miles.

Complete the sentence. 13 is 65% of _____

Answers

Step-by-step explanation:

is what i got i think its wrong tho

The answer : 20%
Hope it help u

Trisha Long wants to buy a boat in five years. She estimates the boat will cost $15,000 at that time. What must Trisha deposit today in an account earning 5% annually to have enough to buy the boat in five years?

Answers

We use the formula for compound growth to figure this problem out. Formula is:

$P=P_(0)(1+(r)/(n))^(nt)$

Where,

P is the future value
$P_(0)$ is the initial deposite
r is the rate of interest annually
n is the number of times compounding occurs (n=1 for annual compounding, n=2 for semiannual compounding etc.)
t is time

Given P=15,000, r=5%=0.05 (in decimal), n=1 (since annual compounding), and t=5 years, we can solve:

$15000=P_(0)(1+(0.05)/(1) )^((1)(5))\n15000=P_(0)(1+0.05)^(5)\nP_(0)=(15000)/((1+0.05)^(5))\nP_(0)=(15000)/(1.05^(5))\nP_(0)=11,752.89$

So, Trisha Long needs to deposit $11,752.89 today in the account.

ANSWER: $11,752.89

$\bf \qquad \textit{Compound Interest Earned Amount}\n\nA=P\left(1+(r)/(n)\right)^(nt)\qquad \begin{cases}A=\textit{compounded amount}\to &15000\nP=\textit{original amount deposited}\nr=rate\to 5\%\to (5)/(100)\to &0.05\nn=\begin{array}{llll}\textit{times it compounds per year}\n\textit{annually means, once}\end{array}\to &1\nt=years\to &5\end{cases}$

solve for "P", to see how much Principal she should deposit today

Express the following in exponential notation:
(-13) X (-13).
35 times

Answers

Answer:

$(-13) * (-13) = (-13)^(2)$

$35 * 35 = 35^(2)$

Step-by-step explanation:

Given

$(-13) * (-13)$

Required

Express as an exponential notation

$(-13) * (-13)$

Apply the following law of indices

$x^a * x^b = x^(a+b)$

This gives:

$(-13) * (-13) = (-13)^(1+1)$

$(-13) * (-13) = (-13)^(2)$

The second complete is incomplete; However, I'll assume it is: 35 times 35

$35 * 35$

Using the same law applied in (1) above:

$35 * 35 = 35^(1+1)$

$35 * 35 = 35^(2)$

Jarvis works in a garage for $9 an hour. If he works on saturday he is paid time and a quarter. if he works on sunday he is paid time and three quarters. Last weekend jarvis worked for four hours on Saturday and four hours on Sunday. -How much was Jarvis paid last week all together?
-Hours paid Saturday=
-Hours paid Sunday=
-Total Hours paid=

Answers

Answer:

Total Earned Saturday: $45

Total Earned Sunday: $63

Total: $108

Step-by-step explanation:

Time and a quarter means that you divide his normal rate by 4 and add that to his normal rate:

9/4 = 2.25 2.25 + 9 = 11.25

Jarvis makes $11.25 an hour on Saturdays. Since he worked 4 hours, you multiply 11.25 x 4 = 45.

Time and three quarters means that you multiply his normal rate by 3/4 and add that to his normal rate:

9x0.75 = 6.75 6.75 + 9 = 15.75

Jarvis makes $15.75 an hour on Sundays. Since he worked 4 hours, you multiply 15.75 x 4 = 63.

To get the total, you add his earnings on Saturday and earnings on Sunday:

45 + 63 = 108.

I hope this helped you. If it did, please feel free to rate and press thanks! Have a splendid day.

Answer:

Step-by-step explanation:

If he worked on saturday for four hours he got 36 dollars and worked the same time on sunday he 36+36=72 dollars

Bryce wrote the linear regression equation y=1.123x-6.443 to predict the armspan, y, of a person who is x inches tall. Riley has an armspan of 67.5 inches. Which is the best prediction of Riley’s height? A. 54.36 inches
B. 65.84 inches
C. 66.55 inches
D. 69.36 inches

Answers

Answer:

B. 65.84

Step-by-step explanation:

You are given the armspan and a relation between that and height. Put the given value in the equation and solve for the unknown.

... 67.5 = 1.123x -6.443

... 73.943 = 1.123x

... 73.943/1.123 = x = 65.84

Riley's height is predicted to be 65.84 inches.

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A committee at the College Board has been asked to study the SAT math scores for students in Pennsylvania and Ohio. A sample of 45 students from Pennsylvania had an average score of 580, whereas a sample of 38 students had an average score of 530. The sample standard deviations for Pennsylvania and Ohio are 105 and 114 respectively. Does the study suggest that the SAT math score for students in Pennsylvania and Ohio differ