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3 years ago

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A Statistics class has a test average of 87 with a standard deviation of 2.1. Find the z-score that corresponds to Kate's test s

core of 93. (Round to the nearest hundredths)

1 answer:

Leto [7]3 years ago

3 0

Answer:

2.86

Step-by-step explanation:

So I'm pretty sure we don't want the probability, just the zscore

to find the zsore subtract the mean and divide by the standard deviation

(93-87)/2.1= 2.86

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Solving Quadratic Equations with Complex SolutionsThe discriminant: D=b^2-4acQuestion:5x^2-2x+1=0

fomenos

• The value of the discriminant ,D= -16

,

• The solution to the quadratic equation is

$x=\frac{1+2i}{5}\text{ or }\frac{1-2i}{5}$

Step - by - Step Explanation

What to find?

• The discriminant d= b² - 4ac

,

• The solution to the quadratic equation.

Given:

5x² - 2x + 1=0

Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0

a=5 b=-2 and c=1

Uisng the quadratic formula to solve;

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

The discriminant D=b² - 4ac

Substitute the values into the discriminant formula and simplify.

D = (-2)² - 4(5)(1)

D = 4 - 20

D = -16

We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;

$x=\frac{-(-2)\pm\sqrt[]{-16}}{2(5)}$

Note that:

√-1 = i

$x=\frac{2\pm\sqrt[]{16\times-1}}{10}$

$x=\frac{2\pm\sqrt[]{16}\times\sqrt[]{-1}}{10}$ $x=\frac{2\pm4i}{10}$ $x=\frac{2}{10}\pm\frac{4i}{10}$ $x=\frac{1}{5}\pm\frac{2}{5}i$ $x=\frac{1\pm2i}{5}$

That is;

$\text{Either x=}\frac{1+2i}{5}\text{ or x=}\frac{1-2i}{5}$

7 0

1 year ago

The volume of a cubic box is 10 to the power of 6 cubic millimeters. Write the volume in standard form

Vinil7 [7]

$1 \times 10^{6} mm^{3}$

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3 years ago

Write an equation that represents degrees fahrenheit in terms of degrees celsius. let xx represent the temperature in degrees ce

IgorC [24]

As we know Conversion from fahrenheit to celsius is
$F - 32 = \frac{9C}{5}$

We can write it also as

$F = \frac{9C}{5}+32$

F as y and C as x then we can write it as

$y = \frac{9x}{5} + 32$

7 0

3 years ago

One bag of lawn fertilizer can cover approximately 5,000 square feet. Mike’s lawn is about 500 square feet. When Mike applies fe

Dvinal [7]

5,000 - bag of fertilizer
500 - Mike’s lawn
3/4 - applied fertilizer
4 - frequency in 1 year

(500 x 3/4 )x 4
(1500 / 4 ) x 4
1500 sqm / yr

5,000 sqm / 1500sqm/yr
3.33 yr

He will be able to fertilize it in 3 full years

3 0

3 years ago

Find the value of x.

Cerrena [4.2K]

$x^2 + (x + 3)^2 = (\sqrt{117})^2$

$x^2 + x^2 + 6x + 9 = 117$

$2x^2 + 6x -108 = 0$

$x^2 + 3x - 54 = 0$

$(x + 9)(x - 6) = 0$

$x + 9 = 0 ~~or~~ x - 6 = 0$

$x = -9 ~~ or~~ x = 6$

Since the side of a triangle cannot have a negative length, we discard the solution x = -9.

Answer: x = 6

3 0

3 years ago

Read 2 more answers