5 meters of wire. How long is the wire in millimeters?

The average test score of the class was an 80 and the standard deviation was 2. About 99% of the class would score between what

Alisiya [41]

Answer:

Answer: 78 and 82.

Step-by-step explanation:

We have been given that the average test score of the class was an 80 and the standard deviation was 2. We are asked to find two values between which 68% of class will score.

We know that in a normal distribution approximately 68% of the data falls within one standard deviation of the mean.

So 68% scores will lie within one standard deviation below and above mean that is

Upon substituting our given values, we will get

Therefore, about 68% of the class would score between 78 and 81 and option B is the correct choice.

Step-by-step explanation: Hope this helps :D

5 0

3 years ago

Read 2 more answers

Solve the system. Enter the smallest x-coordinate first

pentagon [3]

$y= 3 \,\,,\,\,x= -2 \,\,and\,\, y=3\,\,,\,\, x=2$

Step-by-step explanation:

Solving the following system of equations:

$x^2-y=1\\2x^2+y^2=17$

Let

$x^2-y=1\,\,\,(1)\\2x^2+y^2=17\,\,\,(2)$

Putting value of x^2 in eq(2)

$x^2 = 1+y\\Putting\,\,value\,\,of\,\,x^2\,\,in\,\,eq(2)\\2(1+y)+y^2=17\\2+2y+y^2=17\\y^2+2y+2-17=0\\y^2+2y-15=0\\Factorizing:\\y^2-3y+5y-15=0\\y(y-3)+5(y-3)=0\\(y+5)(y-3)=0\\y+5=0 \,\,and \,\, y-3=0\\y = -5 \,\,and \,\, y=3$

Now, finding value of x

Putting y=-5

$x^2 = 1+y\\x^2=1-5\\x^2=-4\\Taking\,\,square\,\,root\\x= \pm2i$

y=-5, x= 2i and y=-5 , x= -2i

Since we need to find x and y coordinates and its value cannot be in terms of i so we will not consider these as answer

Putting y=3

$x^2 = 1+y\\x^2=1+3\\x^2=4\\Taking\,\,square\,\,root\\x= \pm2$

So, $y= 3 \,\,,\,\,x= -2 \,\,and\,\, y=3\,\,,\,\, x=2$

Keywords: system of equations

Learn more about system of equations at:

#learnwithBrainly

8 0

3 years ago

If three times the larger of two numbers is four times the smaller and the difference between the numbers is 8, then the larger

MaRussiya [10]

Answer:

Larger number = 32

Step-by-step explanation:

Smaller number = x

Larger number = y

y - x = 8 -----------(I)

3y = 4x ---------------(II)

3y/4 = x

Plug in x = 3y/4 in equation (I)

$y - \frac{3}{4}y = 8\\\\\frac{4}{4}y - \frac{3}{4}y = 8\\\\\frac{1}{4}y = 8\\$

y = 8*4

y = 32

Plug in y = 32 in equation (II)

3y = 4x

3*32 = 4x

4x = 3*32

x = $\frac{3*32}{4}$

x = 3 *8

x = 24

7 0

3 years ago

Solve the system of equations algebraically. <br> 6x + 5y = -14<br> 5x + 2y = -3

Alik [6]

(1,-4)
x=1, y=-4.

Solve for the first variable in one of the equations, then substitute the result into the other equation.

5 0

2 years ago

Please help<br> thanks<br> 10 points

Alik [6]

D the last one because it simplify by y^3/x^18

6 0

3 years ago