The 400-meter race times at a state track meet are normally distributed with a mean
of 52.71 seconds and a standard deviation of 3.8 seconds. Using the Standard
Normal Probabilities table, what is the approximate probability that a runner chosen
at random will have a 400-meter time less than 53.4 seconds? (5 points)

Answer: C

explanation:

i took the test

Answer:

c

Step-by-step explanation:

I took the test on edge

Answer:

Step-by-step explanation:

A fixed pulley consists of a wheel fixed to a shaft and is used in conjunction with a belt to transfer energy to another fixed pulley. A movable pulley consists of a shell, a movable wheel and a rope. Movable pulleys are also know as block and tackle.

Answer:

Check the step-by-step

Step-by-step explanation:

To get the perpendicular you need to find the negative reciprocal, therefore, he is wrong as he did not switch the negative/positive sign in m & 1/m. Also, if m is a fraction like 5/3, the reciprocal would not be 1/m, it would be 3/5 as you flip the denominator and numerator.

Answer:

2

x

+

3

y

−

10

=

0

Solve for  

y

.

Tap for more steps...

y

=

−

2

x

3

+

10

3

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

−

2

3

y-intercept:  

10

3

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

1

8

3

2

2

Graph the line using the slope and the y-intercept, or the points.

Slope:  

−

2

3

y-intercept:  

10

3

x

y

1

8

3

2

2

Step-by-step explanation:

i am sorry it came like this

Answer:

The slope is -1. Use the rise over run method for the two given points.

Answer:

m = - 1

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

( - 3 , 1)

(1 , - 3)

m = [tex]\frac{-3-1}{1 + 3}[/tex] = - 1

m = - 1

Answer:

-2

Step-by-step explanation:

rise over run or, y2-y1/x2-x1

Answer:

36.

Step-by-step explanation:

6 plus 3 is 9 and 9 times 4 is 36, hope this helps.

Answer:

75

Step-by-step explanation:

X and Y are the same so Y would be 105 as well. The trapezoid as a whole equals 360 degrees. Take 360 and subrtract 105 twice and you'll get 150. Divide 150 by 2 and you'll get 75. W and Z will both equal 75.

Answer:

LCM of 21,24 and 26 is 2184

Step-by-step explanation:

We need to find LCM of 21,24 and 26

For finding LCM divide the given numbers by a prime number if two of the numbers are divisible by that prime number

 2  |    21,24,26

 2  |    21,12,13

 2  |   21,6,13

 3  |    21,3,13

 7  |   7,1,13

13  |   1,1,13

      |   1,1,1

So, LCM of 21,24 and 26 is: 2 x 2 x 2  x 3 x 7 x 13 = 2184

Answer:

117 cups

Step-by-step explanation:

two dozen cookies calls for 234cups of sugar

2 dozen cookies = 234 cups of sugar

How much sugar is needed to make one dozen cookies?

Let x = cups of sugar needed

1 dozen cookies = x cups of sugar

2 dozen cookies : 234 cups of sugar = 1 dozen cookies : x cups of sugar

2 : 234 = 1 : x

2 / 234 = 1 / x

Cross product

2*x = 234 * 1

2x = 234

x = 234 / 2

= 117 cups

Your options are wrong because none corresponds with the answer

Answer:

Step-by-step explanation:

y = mx + b

Unknown:

b = intecept = ?

mx = slope = ?

y = equation = ?

Known:

Coordinates needed

1. Find the slope

(y2 - y1)/(x2 - x1)

(12-5)/(2-2) = undefined

Vertical line

2. Find the intercept

intercept = N/A

x - intercept = 2

Equation:

Hope this helped,

Kavitha Banarjee

Answer:

100.60

Step-by-step explanation:

15% of 87.48 is 13.12

[tex]a/87.48[/tex] x [tex]15/100[/tex]

cross multiply, you get 13.12

add up 13.12 and 87.48, you get 100.60

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

Given

Shapes: Square and Rectangle

Square:

[tex]Length = x[/tex]

Rectangle:

[tex]Length = 12 + 2x[/tex]

[tex]Width = x- 8[/tex]

Required

Find x

First, we calculate the area of the square.

[tex]Area = x * x[/tex]

[tex]Area = x^2[/tex]

Next, we calculate the area of the rectangle

[tex]Area = (12 + 2x) * (x - 8)[/tex]

[tex]Area = 12x -96 + 2x^2 - 16x[/tex]

[tex]Area = 2x^2 - 16x + 12x -96[/tex]

[tex]Area = 2x^2 -4x -96[/tex]

Since both areas are equal, we have:

[tex]x^2 = 2x^2 -4x -96[/tex]

Equate to 0

[tex]2x^2 -x^2 -4x -96= 0[/tex]

[tex]x^2 -4x -96= 0[/tex]

Expand:

[tex]x^2 - 12x + 8x -96 = 0[/tex]

[tex]x(x - 12) + 8(x - 12) = 0[/tex]

[tex](x + 8)(x - 12) = 0[/tex]

[tex]x + 8 = 0[/tex] or [tex]x - 12 = 0[/tex]

[tex]x = -8[/tex] or [tex]x = 12[/tex]

But x can't be negative.

Hence:

[tex]x = 12[/tex]

Answer:

the answer is b. 18

Find HCF of 12 and 16 using division method.

Step 1

Step 2

Step 3

HCF of 12 and 16 is 4.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \scriptsize{ \sf{spbankingandsscseries}}[/tex]

Answer:

13/99

Step-by-step explanation:

First convert the expression, turn 13 into 13/1: 13/1 × 1/99

Next you multiply: 13/1 × 1/99 = 13/99

Answer:

StartFraction T Subscript h Baseline minus T Subscript C Baseline over T Subscript h Baseline EndFraction times 100

Step-by-step explanation:

could i have brainliest plz i so close to next rank

Answer:

its a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the simultaneous equation;

ax + by = ab  ......... 1

2ax + 3by = 3b .....2

Required

Express y in terms of a

Using elimination method to eliminate x variable.

eqn 1 * 2 and eqn 2 *1 will give;

2ax + 2by = 2ab

2ax + 3by = 3b

Subtract

2by - 3by = 2ab - 3b

-by = 2ab - 3b

-by = b(2a-3)

-y = 2a-3

multiply through by -1

y = -2a + 3

y = 3-2a

Hence the value of y in terms of a is y = 3-2a

36

Step-by-step explanation:

4 5/8*3 is 13.875

500 decided by 13.875 is a little over 36, so you can make 36 full ribbons

Answer:36

Step-by-step explanation:

4 5/8*3 is 13.875

Answer:

3 and 12

Step-by-step explanation:

just multiply 2 x 3 and 2 x 12 and it would give you 6 and 24 :) I hope this help

Answer:

x = 2/3

2/3*3 = 2

Step-by-step explanation:

Answer:

640 students own a bicycle

Step-by-step explanation:

The rate shows that 4 out of 5 students own a bicycle. 4 out of 5 is 80% of the students. Now, we need to find 80% of 800 students.

To do this, we multiply the number of students by .80, which represents 80%.

800 x 0.8 = 640

I Hope That This Helps! :)

Answer:⅘ x 800= 640 640 out of the 800 students in a school own a bicycle.                    

Step-by-step explanation:    ⅘ x 800= 640                                                                                                

Answer:

-7 x (2a - 7)

Answer:

5.5

4*5.5=22-5=17

Step-by-step explanation: