4-3+2(x-1) if x = 1<br>Help me plzzzz

Iq scores are normally distributed with a mean of 100 and a standard deviation of 15 what is the probability that a randomly sel

a_sh-v [17]

So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:

z = x - mean/s.d.

where x is our I.Q. we are looking for

So we plug in our numbers and we get:

126-100/15 = 1.73333

Next we look at our z-score table for our P-value and I got 0.9582

Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get

1 - 0.9582 = 0.0418

Since they are asking for the probability, we multiply our P-value by 100, and we get

0.0418 * 100 = 4.18%

And our answer is

4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!

6 0

3 years ago

Please I need help with this question.<br>No 22. Is very important.<br>Thank you.

kvv77 [185]

Answer:

C. $132m^3$

Step-by-step explanation:

Height = 4

Length = 6

Breadth = 7

Note : We were asked to find volume of the cuboid

Since, it has a base in the shape of a right angle triangle , we need to find the Area of the trapezium before calculating the total volume.

Step 1

Find the area of the trapezium

Area of a trapezium = $\frac{1}{2} (a+b)h$

$\frac{1}{2} (4+7)*4$

$\frac{1}{2} (11)4\\$

$\frac{1}{2} *44\\= 22$

Step 2

Calculate the volume of the cuboid

Volume of a cuboid =length× breadth × height

In this case , the volume will be our length × Area of a trapezium

V= 6 × 22

V = $132m^3$

6 0

4 years ago

Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he s

timurjin [86]

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

$y = 2x + 5$ --- equation

$y = 5$ --- y intercept

$m = 2$ --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

$(x_1,y_1) = (15,35)$

$(x_2,y_2) = (0,5)$

The slope (m) is:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

$m = \frac{5-35}{0-15}$

$m = \frac{-30}{-15}$

$m = 2$

So, the line of best fit is:

$y = m(x - x_1) + y_1$

Substitute known values:

$y = 2(x - 0) + 5$

$y = 2(x) + 5$

$y = 2x + 5$

The y-intercept is when $x=0$

So, we have:

$y = 2*0 + 5$

$y = 0 + 5$

$y = 5$

6 0

3 years ago

soymeal is 14 percent protein cornmeal is 7 percent protein how many pounds of each should be mixed together in order to get 280

erma4kov [3.2K]

Let the weight of soymeal be s, and let the weight of cornmeal be c.
You need a total of 280 lb, so that gives us one equation.

s + c = 280

Now we use the protein to write another equation.
The protein in s lb of soymeal is 0.14s.
The protein in c lb of cornmeal is 0.07c.
The protein in 280 lb of 0.09% protein mix is 0.09(280).
This gives us a second equation.

0.14s + 0.07c = 0.09(280)

Now we solve the two equations as a system of equations.

s + c = 280
0.14s + 0.07c = 0.09(280)

Solve the first equation for s and plug in tot eh second equation.

s = 280 - c

0.14(280 - c) + 0.07c = 25.2

39.2 - 0.14c + 0.07c = 25.2

-0.07c = -14

c = 200

Now we substitute c = 200 in the first equation to find s.

s + 200 = 280

s = 80

Answer: 200 lb of soymeal and 80 lb of cornmeal

6 0

3 years ago

Write an equation in slope-intercept form

koban [17]

The answer is y=-1/2x + 5/8

5 0

3 years ago

4-3+2(x-1) if x = 1Help me plzzzz