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What is 7.8 x 10^-3 in scientific notations

Lana71 [14]

Answer:

7.8 x 10^-3 is 0.0078. B

7 0

4 years ago

Which factors is multiplied and give you 24 and when added gives you -4

klio [65]

Answer: the no.s are-

2.472

-6.472

Step-by-step explanation:

xy=24-----1

x+y=-4------2

from 2 we get x=-4-y

sustituting=

into 1 we get

quadratic eq = y^2 + 4y + 24=0

so

-4+- root 16-96/2

thus on further solving we get -2 +-4.472

on adding= -2+4.472= 2.472

on subtraction= -2 -4.472= -6.472

5 0

3 years ago

Let’s play Pick-A-Ball with replacement! There are 10 colored balls: 3 red, 4 white, and 3 blue. The balls have been placed into

Anettt [7]

Answer:

0.48

Step-by-step explanation:

There are 10 colored balls: 3 red, 4 white, and 3 blue.

You selected 2 balls at random. They may be

RR, WW, BB, RW, RB, WB, WR, BR, BW.

To find the probability of selecting the color of ball that you just selected, find this probability in each of previous cases:

RR: (One red ball left and 8 balls left in total)

$P_{RR}=\dfrac{3}{10}\cdot \dfrac{2}{9}\cdot \dfrac{1}{8}=\dfrac{1}{120}$

WW: (Two white balls left and 8 balls left in total)

$P_{WW}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{2}{8}=\dfrac{1}{30}$

BB: (One blue ball left and 8 balls left in total)

$P_{BB}=\dfrac{3}{10}\cdot \dfrac{2}{9}\cdot \dfrac{1}{8}=\dfrac{1}{120}$

RW: (Two red and three white balls left and 8 balls left in total)

$P_{RW}=\dfrac{3}{10}\cdot \dfrac{4}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}$

RB: (Two red and two blue balls left and 8 balls left in total)

$P_{RB}=\dfrac{3}{10}\cdot \dfrac{3}{9}\cdot \dfrac{4}{8}=\dfrac{1}{20}$

WB: (Two blue and three white balls left and 8 balls left in total)

$P_{WB}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}$

WR: (Two red and three white balls left and 8 balls left in total)

$P_{WR}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}$

BR: (Two red and two blue balls left and 8 balls left in total)

$P_{BR}=\dfrac{3}{10}\cdot \dfrac{3}{9}\cdot \dfrac{4}{8}=\dfrac{1}{20}$

BW: (Two blue and three white balls left and 8 balls left in total)

$P_{BW}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}$

In total, the probability of selecting the color of ball that you just selected is

$\dfrac{1}{120}+\dfrac{1}{30}+\dfrac{1}{120}+2\cdot\dfrac{1}{12}+2\cdot \dfrac{1}{20}+2\cdot \dfrac{1}{12}=\\ \\=\dfrac{1}{120}+\dfrac{4}{120}+\dfrac{1}{120}+\dfrac{20}{120}+\dfrac{12}{120}+\dfrac{20}{120}=\dfrac{58}{120}=\dfrac{29}{60}\approx 0.48$

3 0

3 years ago

1) Sarah bought 12 meters of fabric to make a patchwork quilt. If the fabric was on sale for $6.29 per meter, how much did Sarah

Brrunno [24]

Answer:

She spent $75.48

Step-by-step explanation:

multiply the price per meter by the amount of meters she purchased.

5 0

3 years ago

Write the equation for the inverse of the function.<br><br> y = cos 2x

ella [17]

Answer:

Step-by-step explanation:

y = Cos(2x)

Inverses for trig functions are found the same way as any other inverse. The trick is to interchange x and y.

x = cos(2y) Take the inverse cos of both sides.

cos-1(x) = 2y Divide by 2

1/2 cos-1(x) = y

4 0

4 years ago

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