Four of the test subjects are randomly selected without replacement, and they all had true negative test results

Help is required, I am stuck

Natalija [7]

Answer:

see explanation

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± $\sqrt{11}$ ( subtract 2 from both sides )

x = - 2 ± $\sqrt{11}$

Thus

x = - 2 - $\sqrt{11}$ ≈ - 5.32 ( to 2 dec. places )

x = - 2 + $\sqrt{11}$ ≈ 1.32 ( to 2 dec. places )

8 0

3 years ago

When the polynomial P(x)=ax^3+bx^2+3x-10 is divided by x+1, the remainder is -8. P(x) has a factor of x+5. Find the values of a

Ahat [919]

Answer:

a = 1, b = 6

Step-by-step explanation:

The equation given is as follows;

P(x) = a·x³ + b·x² + 3·x - 10

The above equation has a factor of x + 5, therefore, we have;

P(-5) = 0 = a·(-5)³ + b·(-5)² + 3·(-5) - 10

-125·a + 25·b + (-15) - 10 = 0

-125·a + 25·b - 25 = 0

-125·a + 25·b = 25...........(1)

Also, we are given that;

a·x³ + b·x² + 3·x - 10 divided by x + 1 as a remainder, R = -8, therefore;

P(-1) = -8 = a·(-1)³ + b·(-1)² + 3·(-1) - 10

-a + b - 13 = -8

-a + b = -8 + 13 = 5

-a + b = 5............................(2)

Multiply equation (2) by 25 and subtract from (1) gives

-125·a + 25·b - 25(-a + b) = 25 - 25×5

-100·a = 25 - 125 = -100

a = 1

Therefore, from equation (2) we have;

-1 + b = 5

b = 5 + 1 = 6.

7 0

3 years ago

Indicate the method you would use to prove the two triangle 's . If no method applies, enter "none".

Sever21 [200]

<em>You would use AAS because of the fact that there is two angles and the angle where both triangles instersect and create a verticle angle, there is no angle written. It has an angle then another angle then a side. Hope this helps!</em>

5 0

3 years ago

Read 2 more answers

Which statement illustrates the distritive property

sp2606 [1]

Distributive property is used when you have a number outside a set of numbers in parenthesis.

Using the distributive property, you multiply the number outside the parenthesis by each number inside the parenthesis.

The first answer is correct because they are multiplying 9 by 20 and adding it to 9 multiplied by 6.

4 0

3 years ago

Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those contacts are from his neigh

Naya [18.7K]