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4 years ago

A line is drawn through (-4,3) and (4,3). Which describes whether or not the line represents a direct variation

Mathematics

1 answer:

Brilliant_brown [7]4 years ago

8 0

If the resultant line is a straight line,it represents a direct variation.

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a store sells jump ropes. each jump rope costs the same amount. during a sale, the store reduces the price of each jump rope by

fiasKO [112]

Answer:

she spent $7.45 on each rope at the sale price. The original price would have been $8.70

Step-by-step explanation:

4 0

3 years ago

The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab

LiRa [457]

Answer:

a) 0.0082

b) 0.9987

c) 0.9192

d) 0.5000

e) 1

Step-by-step explanation:

The question is concerned with the mean of a sample.

From the central limit theorem we have the formula:

$z=\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$

a) $z=\frac{1224-1200}{\frac{60}{\sqrt{36} } }=2.40$

The area to the left of z=2.40 is 0.9918

The area to the right of z=2.40 is 1-0.9918=0.0082

$\therefore P(\bar X\:>\:1224)=0.0082$

b) $z=\frac{1230-1200}{\frac{60}{\sqrt{36} } }=3.00$

The area to the left of z=3.00 is 0.9987

$\therefore P(\bar X\:$

c) The z-value of 1200 is 0

The area to the left of 0 is 0.5

$z=\frac{1214-1200}{\frac{60}{\sqrt{36} } }=1.40$

The area to the left of z=1.40 is 0.9192

The probability that the sample mean is between 1200 and 1214 is

$P(1200\:$

d) From c) the probability that the sample mean will be greater than 1200 is 1-0.5000=0.5000

e) $z=\frac{73.46-1200}{\frac{60}{\sqrt{36} } }=-112.65$

The area to the left of z=-112.65 is 0.

The area to the right of z=-112.65 is 1-0=1

5 0

3 years ago

In a college of exactly 2740 students, exactly 55 % are male. what is the number of female students? express your answer as an i

andrew11 [14]

1233 students are male because 2740* .45 (45%) = 1233

3 0

4 years ago

sally has 20 coins in her piggy bannk, all dimes and quarters. the total amount of money is $3.05. how many of each coin does sh

VMariaS [17]

D=dimes
q=quarters

d + q = 20
.10d + .25q = 3.05

d=-q + 20

.10(-q + 20) +.25q = 3.05
-.10q + 2 + .25 = 3.05
.15q + 2 = 3.05
.15q + 2 - 2 = 3.05 - 2
.15q = 1.05
.15q/.15 = 1.05/.15
q = 7

d + 7 = 20
d + 7 - 7 = 20 - 7
d = 13

Sally has 7 quarters and 13 dimes.
Hope this helps!

5 0

3 years ago

**HURRRYYYYY

Natalija [7]

Answer:

x - 6

Step-by-step explanation:

I am unfamiliar with such algebra tiles, but logically that set of tiles tells me :

1 x, -1, -1, -1, -1, -1, -1

so,

1×x + 6×(-1) = x - 6

8 0

3 years ago