Write an expression to represent: Four less than the quotient of a number x and 5.​

Answer:

Step-by-step explanation:

Answer:

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 650 pounds and a standard deviation of 20 pounds.

This means that [tex]\mu = 650, \sigma = 20[/tex]

What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?

Less than 620:

pvalue of Z when X = 620. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{620 - 650}{20}[/tex]

[tex]Z = -1.5[/tex]

[tex]Z = -1.5[/tex] has a pvalue of 0.0668

More than 700:

1 subtracted by the pvalue of Z when X = 700. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{700 - 650}{20}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Total:

0.0668 + 0.0062 = 0.073

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Answer:

A = 14 units ²

Step-by-step explanation:

Hello There!

The polygon shown is a triangle

The first step is to find the formula for area of a triangle

[tex]A=\frac{1}{2} bh[/tex]

where b = base and h = height

the following dimensions are given

base = 7 and 4 = height

so all we have to do is plug in the values into the formula

[tex]A=\frac{1}{2} 7*4\\7*4=28\\\frac{1}{2} 28=14\\A=14[/tex]

so we can conclude that the area of the polygon is 14 units ²

Answer:

area of polygon =area of TRIANGLE =

1/2 base×height =1/2×7×4=14 units²

Answer:

1/3 divided by 4

Step-by-step explanation:

Because you start off with 1/3 and then you split it into 4, 1/12's and 4*1/12 is equal to 1/3

So the answer is 1/3 divided by 4

Answer:

Think its B. but if not it should be E.

Step-by-step explanation:

Answer:

Uhhhh... 54?

Step-by-step explanation:

Just add them together.

30.) d=26

Take the equation

2 x (7 + d)

Now plugin 6 for d

2 x (7 + 6)

2 x (13)

26

31.) c

Take the equation

16b+8/2

Now plugin 4 for b

16(4)+8/2

64+8/2

64+4

68

Answer:

I think the answer is 6. i dont know if that's right though

Answer:

I think 5 gallon painting

Answer:

LCD is 6

first choice

Step-by-step explanation:

least common denominator of 2 and 3 is 6

Answer:

D. 7040 yards

Step-by-step explanation:

Answer:

466.08 m²

Step-by-step explanation:

The figure is composed of a triangle and a semicircle.

Therefore,

Area of the figure = area of the triangle + area of the semicircle

= ½*b*h + ½*πr²

Where,

b = 24 m

h = 20 m

π = 3.14

r = ½ of 24 m = 12 m

Substitute each value into the equation

Area of the figure = ½*24*20 + ½*3.14*12²

= 240 + 226.08

= 466.08 m²

Answer:

C

Step-by-step explanation:

i think

Answer:

C

Step-by-step explanation:

Answer:

.21

Step-by-step explanation:

is

Answer: 0.79

Step-by-step explanation:

The distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.

The speed is the rate of change of position of an object in any direction. Speed tells us how fast or slow an object travels and describes the distance traveled divided by the time taken to cover the distance.

For the given situation,

The speed of the car,S = 0.5 miles per minute

Let the time be t.

Let the distance be D.

The distance between the car and the home = 4 miles.

The formula that relates speed, distance and time is

[tex]Speed=\frac{Distance}{time}[/tex]

⇒ [tex]Distance=(Speed)(time)[/tex]

Here initially at t=0, the car is 4 miles apart from the home and it travels at 0.5 miles per minute, so the equation can be represented as

⇒ [tex]D=4(0.5t)[/tex]

Hence we can conclude that the distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.

Learn more about speed, distance and time here

https://brainly.com/question/2004627

#SPJ2

Answer: 25 minutes

Step-by-step explanation:

Answer:  S = 2(lw + lh + wh)

Step-by-step explanation:  Use this formula to find the total surface area of a prism.

Answer:

2

Step-by-step explanation:

the rate of change is Rise/ Run

= Δy / Δx

= (y2 – y1) / (x2 – x1)

= (1 - (-1))/(-1 - (-2))

=2/1

=2

Answer:

Step-by-step explanation:

It is easy to see that (-2, 0) and (0, -4) are points on the line.

gradient = (difference of y-coordinates)/(difference of x-coordinates) = (0-(-4))/(-2-0) = 4/(-2) =  -2

Answer:

48 ksjsnsjsnwwisns sisnwbsisbd

Answer:

1728

Step-by-step explanation:

if its a cube then all sides are the same length. you need to times to base width and height. so it will be 12 times 12 times 12 which is 1728.

Answer:

V = 15/4π = 3.75π

Step-by-step explanation:

V=πr^2h

V=π(1/2^2)15

V=π(1/4)15

V=15/4π

Answer:

x = 1.2

Step-by-step explanation:

AD/AB = DE/BC (Similarity Theorem)

AD = 6 + 4 = 10

AB = 6

DE = 2

BC = x

Plug in the values

10/6 = 2/x

Cross multiply

10*x = 2*6

10x = 12

Divide both sides by 10

x = 12/10

x = 1.2

Answer:

1) 56.52 in²

2) 565.2 ft²

3) 235.5yd²

4) 898.04 ft²

5) 942 yd²

6) 75.36 in²

Step-by-step explanation:

SA= πrS + πr²

1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²

2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²

3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²

4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²

5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²

S =5 because 5² = 3² + 4²

6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²

Answer:

43

Step-by-step explanation:

Answer:

45/75

Step-by-step explanation:

75/5 = 15

15x3 = 45