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ruslelena [56]
3 years ago
12

Can someone help me!!!

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0
\text {Distance} =  \sqrt{(7-0)^2 + (-6+3)^2} =  \sqrt{7^2+(-3)^2} =  \sqrt{58} = 7.6 \text{ units}

Answer: 7.6 units
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What would happen to an annual payment if the APR charged was decreased
Xelga [282]

Answer

The annual payment will consequently decrease

Step-by-step explanation:

If the APR charged say on a mortgage loan is decreased, then the total repayments due will as a consequence decline provided the repayment term remains unaltered. Nevertheless, a decline in total repayments due amounts to a decrease in the annual repayments

8 0
3 years ago
∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5, and m∠JKL = x − 1. Find the measure of each angle.
Nonamiya [84]
Complimentary angles, when added, will equal 90 degrees
so < DFG and < JKL, when added = 90
x + 5 + x - 1 = 90
2x + 4 = 90
2x = 90 - 4
2x = 86
x = 86/2
x = 43

< DFG = x + 5......43 + 5 = 48 degrees <==
< JKL = x - 1........43 - 1 = 42 degrees <==
3 0
3 years ago
There are 11 students on a committee. To decide which 4 of these students will attend a conference, 4 names are chosen at random
Alina [70]

Answer:

0.003 = 0.3% probability that Sarah, Jamal, Kate, and Mai are chosen in any order.

Step-by-step explanation:

The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

11 students means that N = 11

4 are Sarah, Jamal, Kate, and Mai, so k = 4

4 are chosen, which means that n = 4

What is the probability that Sarah, Jamal, Kate, and Mai are chosen in any order?

This is P(X = 4). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 4) = h(4,11,4,4) = \frac{C_{4,4}*C_{7,0}}{C_{11,4}} = 0.003

0.003 = 0.3% probability that Sarah, Jamal, Kate, and Mai are chosen in any order.

7 0
3 years ago
Sachiko goes for lunch at 12:00. She has 30 minutes. What time does her lunch period end?​
evablogger [386]

Answer:

<h2>12:30 PM</h2>

Step-by-step explanation:

12:00 + :30 (30 minutes) =

12:30

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

3 0
3 years ago
Henry bought 3 tacos for $5, at this rate how much would he spend for 8 tacos?
Mars2501 [29]
$13.33

Explanation: divide the 5 dollars by 3 to find out how much each taco cost. Then multiply that by 8 to get 13.33
6 0
2 years ago
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