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3 years ago

The average (mean) of 90 numbers is 60, and the average of 60 numbers is 90. What is the average of all the numbers?

Mathematics

1 answer:

sveta [45]3 years ago

4 0

Answer: 72

Step-by-step explanation:

Total score of 90 nos. 90 x 60 = 5400

Total score of 60 nos. 60 x 90 = 5400

Total score of 150 nos

= 10800 / 150 = 72

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Solve: z5 + 3 = −35

Fudgin [204]

Answer:

z= - 5 √ 38

Step-by-step explanation:

take the root of both sides

you can factor each set and make them equal to zero

8 0

3 years ago

Write the equation in slope-intercept form that contains the following point and is perpendicular to the given line

Len [333]

Answer:

y = 1/4 x -3

Step-by-step explanation:

y = -4x + 3;

the slope of this equation is -4

we want the slope perpendicular to this

take the negative reciprocal

- (-1/4) = 1/4

so the slope of our line will be 1/4

we have the slope and a point so we can use point slope form

y-y1 = m (x-x1)

y--2 = 1/4(x-4)

y+2 = 1/4 (x-4)

we need to change it to slope intercept form (y=mx+b)

distribute

y+2 = 1/4 x -1/4*4

y+2 = 1/4x -1

subtract 2 from each side

y +2-2 = 1/4 x -1-2

y = 1/4 x -3

the slope is 1/4 and the y intercept is -3

8 0

3 years ago

The greatest factor that two or more numbers have in common is the

elena55 [62]

Greatest common factor.

7 0

3 years ago

Write 2/3 as a percent. Round your answer to the nearest tenth of a percent.

sweet [91]

divide 2 b 3

2 divided by 3 = 0.625

move decimal point 2 places to the right to turn to a percentage

0.625 = 62.5%

8 0

2 years ago

Find the remainder when f(x)=x3−4x2−6x−3 f ( x ) = x 3 − 4 x 2 − 6 x − 3 is divided by x+1

loris [4]

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (x - a), then the remainder of the operation will be given by P(a).

Our polynomial is:

$P(x) = x^3-4x^2-6x-3$

And we want to find the remainder when it's divided by the binomial:

$x+1$

We can rewrite our divisor as (x - (-1)). Hence, a = -1.

Then by the PRT, the remainder will be:

$\displaystyle\begin{aligned} R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}$

The remainder is -2.

5 0

2 years ago