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3 years ago

What is the distance between R(–3, 1) and S(4, 5)? Round to the nearest tenth.

1 answer:

3 0

R(–3, 1), S(4, 5)
calculate vector:
v=(4-(-3),5-1)=(7,4)

distance=length of vector=√(7²+4²)=√(49+16)=√(65)≈8.06226
rounded to the nearest tenth: 8.1

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3 years ago

Tori took out A $350,000 loan in order to purchase a house. She has to pay an interest of 5.2% over 35 years. how much interest

Dmitrij [34]

Hello from MrBillDoesMath!

Answer:

Interest paid = $ 1,713,568.73

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Discussion:

From the "compound interest formula:

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r = yearly interest rate

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3 years ago

Students received grades with or - (example B ). Of all students who received one or more plus grades, 92% were undergraduates a

MrMuchimi

Answer:

The probability that a student is an undergraduate student, given that the student received a plus grade is 0.92

Step-by-step explanation:

The conditional probability of an event B given that another event A has already occurred is:

$P(B|A)=\frac{P(A\cap B)}{P(A)}$

Denote the events as follows:

X = a students is a graduate

Y = a students is a under-graduate

+ = a student received one or more plus grades

- = a student received one or more minus grades

Consider the tree diagram below.

According to the tree diagram, the probability that a student is an undergraduate student, given that the student received a plus grade is:

P (+ | Y) = 0.92

Thus, the probability that a student is an undergraduate student, given that the student received a plus grade is 0.92.

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3 years ago

A jewelry box is b2 inches long, 3c2 inches wide, and 2c1 inches tall. Which of the following are correct? Select ALL that apply

Mariulka [41]

9514 1404 393

Answer:

B, F

Step-by-step explanation:

The volume is the product of the dimensions:

V = LWH

V = (b^2)(3c^2)(2c^1) = (3·2)(b^2)(c^(2+1))

V = 6b^2·c^3 . . . . . matches B

For b=3 and c=2, the volume is ...

V = 6(3^2)(2^3) = 6(9)(8)

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