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3 years ago

A number is randomly picked from this list: 2 4 5 7 6 8 10. find out the probability of picking an even number

Mathematics

1 answer:

salantis [7]3 years ago

8 0

There are 5 even numbers and 7 numbers total. So it would be 5/7 because that's how many even numbers there are out of those 7 numbers.

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Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?

NISA [10]

Answer:

f(x) = 4x² - 40x + 84

Step-by-step explanation:

4(x - 7)(x - 3) = 0

4(x² - 3x - 7x + 21) = 0

4(x² - 10x + 21) = 0

4x² - 40x + 84 = 0

3 0

3 years ago

Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1

natali 33 [55]

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(-5-(-2))^2+(3-1)^2}$

$r=\sqrt{(-5+2)^2+(2)^2}$

$r=\sqrt{(-3)^2+(2)^2}$

On further simplification, we get

$r=\sqrt{9+4}$

$r=\sqrt{13}$

The standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and $r=\sqrt{13}$ .

$(x-(-2))^2+(y-1)^2=(\sqrt{13})^2$

$(x+2)^2+(y-1)^2=13$

Therefore, the equation of the circle is $(x+2)^2+(y-1)^2=13$ .

8 0

3 years ago

Find the common difference of the arithmetic sequence -19, -16, -13, ...

Yuliya22 [10]

Answer:

d= +3

Step-by-step explanation:

1st term = -19

2nd term = -16

d = 2nd - 1st

d= -16-(-19)

d = +3

4 0

3 years ago

Factor each expression by factoring out the common binomial <br><br> 5a(y + 4) + 8(y + 4)

Tems11 [23]

Answer:

Factoring the term $5a(y + 4) + 8(y + 4)$ we get $(y+4)(5a+8)$

Step-by-step explanation:

We need to factor the term: $5a(y + 4) + 8(y + 4)$

Factoring:

$5a(y + 4) + 8(y + 4)$

Taking (y+4) common

$(y+4)(5a+8)$

It cannot be further factored.

So, Factoring the term $5a(y + 4) + 8(y + 4)$ we get $(y+4)(5a+8)$

6 0

3 years ago

A nut mixture of peanuts and macadamia nuts at a small fair is $1.00 per pound of peanuts and $3.26 per pound of macadamia nuts.

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

You can infer to the solution of this problem by looking at the choices. Hope this helped :)

7 0

3 years ago