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3 years ago

Cora bought a package of erasers. There

Mathematics

2 answers:

erastova [34]3 years ago

8 0

If I’m not mistaken, I believe that it is 4:12

svetoff [14.1K]3 years ago

8 0

The answer is 4:12 but the simplified answer is 1:3

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A pair of shoes that normally costs $75 is on sale for $55. What is the percent decrease in the price, to the

tia_tia [17]

Answer:

BI=27%

Step-by-step explanation:

x(the precentage of 55 from 75)

75x=55

x=55/75

x=0.73

55 is 0.73 of 75

0.73*100=73%

100%-73%=27%

6 0

2 years ago

Read 2 more answers

Violet is planning to make 32 semiannual loan payments of $1580 dollars each. If her bank charges an annual interest rate of 3.8

sergij07 [2.7K]

Answer:

$21,623.70

Step-by-step explanation:

A suitable financial calculator can compute the beginning balance and the remaining balance for you. The attachments show a TI-Nspire calculator's TVM solver app being used to answer this question.

The first attachment shows the computation of the loan value. It is about $37,624.54.

The second attachment shows the computation of the remaining balance after 16 of the 32 semi-annual payments have been made.

The loan balance 8 years from the end of the loan will be about $21,623.70.

8 0

2 years ago

The number of lightning strikes in a year at the top of a particular mountain has a poisson distribution with a mean of 3.8. fin

atroni [7]

Let X be the number of lightning strikes in a year at the top of particular mountain.

X follows Poisson distribution with mean μ = 3.8

We have to find here the probability that in randomly selected year the number of lightning strikes is 0

The Poisson probability is given by,

P(X=k) = $\frac{e^{-mean} mean^{x}}{x!}$

Here we have X=0, mean =3.8

Hence probability that X=0 is given by

P(X=0) = $\frac{e^{-3.8} 3.8^{0}}{0!}$

P(X=0) = $\frac{0.02237 * 1}{1}$

P(X=0) = 0.0224

The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224

5 0

3 years ago

Which line has a constant of proportionality between y and x of 1/2?

Gnesinka [82]

Answer:

It's line C.

Step-by-step explanation:

the slope of line C is 1/2 so that's the constant of proportionality

6 0

3 years ago

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0

3 years ago