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3 years ago

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. x2 – 6 = x

Mathematics

2 answers:

mezya [45]3 years ago

8 0

Answer:

3, -2

Step-by-step explanation:

sweet-ann [11.9K]3 years ago

7 0

B) x= —2,3
Move all terms to the left side and set equal to zero. Then set each factor equal to zero

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xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl

Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

$E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)$ $\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\ \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}$

Step 2:

Find the standard deviation.

$Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}$ $=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)$ $=4(0.25)+1(0.05)+0(0.15)+1(0.55)$ $=1+0.05+0+0.55=1.60$

Thus, the standard deviation is 1.60

Answer:

1.60

8 0

2 years ago

Which is pattern 12,24,36,48

den301095 [7]

T(n)=n×12, where n=the nth term in the sequence and where 12=a constant. always by 12

4 0

4 years ago

Read 2 more answers

What is the distance between the points (1, 25) and (4, 21)

Elena-2011 [213]

Hello!

To find the distance between the points (1, 25) and (4, 21), you need to use the distance formula.

The distance formula is: $d =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ . With the distance formula, you have to assign the ordered pairs before substituting them into the formula, which is also used to to find the slope of functions.

$d =\sqrt{(21-25)^{2}+(4-1)^{2}}$

$d =\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$d=5$

Therefore, the distance between the two points is 5 units.

4 0

3 years ago

Find the value of x and HI. H and J are the endpoints

a_sh-v [17]

Answer:

x = 6

HI = 29

Step-by-step explanation:

✔️HI = ½(AB) => Triangle Mid-segment Theorem

HI = 5x - 1

AB = 58

Plug in the values and solve for x

5x - 1 = ½(58)

5x - 1 = 29

Add 1 to both sides

5x - 1 + 1 = 29 + 1

5x = 30

Divide both sides by 5

5x/5 = 30/5

x = 6

✔️HI = 5x - 1

Plug in the value of x

HI = 5(6) - 1

HI = 30 - 1

HI = 29

5 0

3 years ago

Describe the transformation of f(x) = sin x to g(x) = sin x - 17

madreJ [45]

Answer: To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Amplitude: 1

Period: 2π

Phase Shift: 0( 0 to the right)

Vertical Shift: −17

8 0

3 years ago

Read 2 more answers