Calculate the value of 4x2 + xy when x = 3 and y=-2.

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t

MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

8 0

3 years ago

HELP PLEASE EQUATION OF PARABOLA

Masteriza [31]

It has a minimum value at x = 3 and f(x) = 4

Vertex form is

f(x) = a(x - 3)^2 + 4 where a is some constant to be found

From the graph when x = 5 f(x) = 15, so

15 = a * 2^2 + 4

a = 15-4/4 = 11/4

so our equation is f(x) = 11/4(x - 3)^2 + 4

6 0

4 years ago

A watermelon has a mass of 6.45 kilograms. What is the mass of the watermelon in grams

svet-max [94.6K]

6.45kg convert it to grams is equivalent to 6450 grams. multiple the mass value by 1000

3 0

2 years ago

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How to I make 3x+6y=18 into y=my+b

kirza4 [7]

Answer:

Step-by-step explanation:

3x+6y=18

Geometric figure: Straight Line

Slope = -1.000/2.000 = -0.500

x-intercept = 6/1 = 6.00000

y-intercept = 6/2 = 3

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+6*y-(18)=0

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

3x + 6y - 18 = 3 • (x + 2y - 6)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2 Solve x+2y-6 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+2y-6 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000

y-intercept = 6/2 = 3

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

x-intercept = 6/1 = 6.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.000 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 3.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -1.000/2.000 = -0.500

Geometric figure: Straight Line

Slope = -1.000/2.000 = -0.500

x-intercept = 6/1 = 6.00000

y-intercept = 6/2 = 3

3 0

3 years ago

What is 0.564 as a percent

Oxana [17]

To find % you need decimal multiply by 100%
0.564*100%=56.4%

3 0

3 years ago

Read 2 more answers