MATHEMATICS COLLEGE

This table gives a few (x,y) pairs of a line in the coordinate plane

Answers

Answer 1
Answer:

Answer:

where is the coordinate plane picture?

Step-by-step explanation:

Picture?
Answer 2
Answer:

Answer:

You forgot to add the picture.

Step-by-step explanation:

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Which is the equation of a line that has a slope of -3 and passes through point (-3,-1)

A trader borrowed 2500$ at a sumple interest at the end of 8 months he paid back $2500 find the rate​

Answers

Answer:

8%

Step-by-step explanation:

Rate = 100×Interest ÷ Principal× Time

100× 2500/ 2500 × 8 = 800

800/100 = 8%

I hope this helps

A library contains only paperback and hardback books. If the ratio of paperback books to the total number of books is 3 to 5, which statement must be true? The ratio of paperback books to hardback books is 2 to 3. The ratio of paperback books to hardback books is 2 to 3. The ratio of paperback books to hardback books is 3 to 2. The ratio of paperback books to hardback books is 3 to 2. There are exactly 2 paperback books in the library. There are exactly 2 paperback books in the library. There are exactly 8 hardback books in the library. There are exactly 8 hardback books in the library.

Answers

Answer:

A library contains only paperback and hardback books. If the ratio of paperback books to the total number of books is 3 to 5, the true statement is:

The ratio of paperback books to hardback books is 3 to 2.

Step-by-step explanation:

The number of books in the library = 5

The number of paperback books in the library = 3

Therefore, the number of hardback books in the library = 2 (5 - 3)

Then, the relationship between the paperback books and the hardback books in the library can be expressed as a ratio of 3:2.  This still gives the sum of the ratios as 5, which is the total number of books in the library, including paperback and hardback books.

Final answer:

The correct statement is that the ratio of paperback to hardback books is 3:2. The ratios provided do not indicate the exact quantity of books in the library.

Explanation:

The ratio of paperbacks to the total number of books is 3:5. This means that for every 5 books, 3 are paperbacks and therefore, the remaining 2 must be hardbacks. Hence the ratio of paperback to hardback books is actually 3:2, not 2:3.

Note that the ratios given do not indicate the exact number of books. Therefore, we cannot confidently say that there are exactly 2 paperback books or exactly 8 hardback books in the library.

Learn more about Ratios here:

brainly.com/question/32531170

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10. Sarah is planning to fence in her backyard garden. One side of the garden is 34 feet long, another side is 30 feet long, and the third side is 67 feet long.Find the perimeter of Sarah’s garden to determine the amount of fencing material needed.A.262 ft.
B.68,340 ft.
C.250 ft.
D.131 ft.

Answers

Answer:

131ft is the amount of fencing material needed

Step-by-step explanation:

Perimeter is the distance around a shape: we have to sum all the distances

P = d1 + d2 + d3

P = 34 ft + 30 ft + 67 ft = 131 ft

Answer:

D. 131 ft.

Step-by-step explanation:

If Sarah is planning to fence in her backyard garden and one side of the garden is 34 feet long, another side is 30 feet long, and the third side is 67 feet long. The perimeter of Sarah’s garden to determine the amount of fencing material needed is 131 feet.

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

Answers

Answer:

The probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day is P(Y>190)=\frac{1}{e^{(19)/(10)}}\approx 0.1496

Step-by-step explanation:

Let Y be the water demand in the early afternoon.

If the random variable Y has density function f (y) and a < b, then the probability that Y falls in the interval [a, b] is

P(a\leq Y \leq b)=\int\limits^a_b {f(y)} \, dy

A random variable Y is said to have an exponential distribution with parameter \beta > 0 if and only if the density function of Y is

f(y)=\left \{ {{(1)/(\beta)e^{-(y)/(\beta) }, \quad{0\:\leq \:y \:\leq \:\infty}   } \atop {0}, \quad elsewhere} \right.

If Y is an exponential random variable with parameter β, then

mean = β

To find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day, you must:

We are given the mean = β = 100 cubic feet per second

P(Y>190)=\int\limits^(\infty)_(190) {(1)/(100)e^(-y/100) } \, dy

Compute the indefinite integral \int (1)/(100)e^{-(y)/(100)}dy

(1)/(100)\cdot \int \:e^{-(y)/(100)}dy\n\n\mathrm{Apply\:u \:substitution}\:u=-(y)/(100)\n\n(1)/(100)\cdot \int \:-100e^udu\n\n(1)/(100)\left(-100\cdot \int \:e^udu\right)\n\n(1)/(100)\left(-100e^u\right)\n\n\mathrm{Substitute\:back}\:u=-(y)/(100)\n\n(1)/(100)\left(-100e^{-(y)/(100)}\right)\n\n-e^{-(y)/(100)}

Compute the boundaries

\int _(190)^(\infty \:)(1)/(100)e^{-(y)/(100)}dy=0-\left(-\frac{1}{e^{(19)/(10)}}\right)

\int _(190)^(\infty \:)(1)/(100)e^{-(y)/(100)}dy=\frac{1}{e^{(19)/(10)}}\approx 0.1496

The probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day is P(Y>190)=\frac{1}{e^{(19)/(10)}}\approx 0.1496

What is the surface area of the pyramid 8in 8 in 6in.

Answers

Answer:

mhbdjhdfvvbjd

Step-by-step explanation:

hbgjtrhkbgb

Answer:

384 inches

Step-by-step explanation:

A=lwh

Work out the height of this cone

Answers

Answer:20 cm

Step-by-step explanation:

Volume of cone=540π

Radius=r=9

Volume of cone=1/3 x π x r^2 x h

540π=1/3 x π x 9^2 x h

540π=1/3 x π x 9 x 9 x h

540π=(1xπx9x9xh)/3

540π=(81πh)/3

540π=27πh

Divide both sides by 27π

540π/27π=(27πh)/27π

20=h

h=20

Height =20 cm
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