what is the volume of the rectangular prism

Answer:

6 Months where she borrowed less than 10,

and he borrowed the most books in August.

Step-by-step explanation:

Answer:

By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean weight of 7 grams and a standard deviation of 2 grams.

This means that [tex]\mu = 7, \sigma = 2[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex]

What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?

By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The marked angles are "alternate interior" angles, so are congruent.

  (x° +20°) = (4x° -10°)

  30 = 3x . . . . . . . . . . . . . . . divide by °, add 10-x

  10 = x . . . . . . divide by 3

Answer:

y = (4/7)x + 3

Step-by-step explanation:

rise = 7 - 3 = 4

run = 7 - 0 = 7

slope = rise/run = 4/7

y-intercept = 3

---------------------

Slope intercept form is

y = mx + b

m is the slope = 4/7

b is the y-intercept  = 3

the equation is

y = (4/7)x + 3

Answer:

118.0 in^3

Step-by-step explanation:

Solution :

Let x = number of coach class tickets sold per day on $ 10 reduced price

y = number of the business class tickets sold per day on $ 50 reduced per price.

Number of the coach class tickets sold = 20 per day at a price of $ 250

Number of the business class tickets sold = 10 per day at a price of $ 750

Decrease in the price of coach class tickets by $ 10 increases the number of tickets sold by 4 per day

Decrease in the price of business class tickets by $ 50 increases the number of tickets sold by 2 per day.

Therefore, the coach price, p(x) = 250 - 10x

Business class price, p(y) = 750 - 50y

Coach tickets, q(x) = 2 + 4x

Business class tickets, q(y) = 6 + 2y  

Revenue R(x, y) = p(x) q(x) + q(y) q(y)

R(x, y) = (250-10x)(20+4x)+(750-50y)(6+2y)

R(x) = (250-10x)(0.4)+(20+4x)(-10)+0 = 0

1000-40x-200-40x=0

80x = 800

x = 10

R(y) = 0 + (750 - 50y)(0.2) + (6+2y)(-50) = 0

1500 - 100y+(-300-100y) = 0

200 y = 1200

y = 6

P(x) = 250 - 10(10) = $ 150

P(y) = 780-50(6) = $450

q(x) = 20 + 4(10) = 60

q(y) = 6 + 2(6) = 18

Maximum revenue = 150 x 60 + 450 x 18

                              = 9000 + 8100

                              = $ 17100

Answer:

x = 12.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

scam . smď

Answer:

x= -22

Step-by-step explanation:

3x=5x+44

subtract 2x from both sides and leave only x on one side 3x(-2x)=5x(-2x)+44

then you get

x=3x+44

then you subtract the 3x to both sides

x(-3x)=3x(-3x)+44

then you get

-2x=44

and divide 2 on each side so-

x= -22

Answer:

Option C (2.5, 1) is the right alternative.

Step-by-step explanation:

The given points are:

A = (-1, 5) = (x₁, y₁)

B = (6, -3) = (x₂, y₂)

Now,

The midpoint on X-axis is:

= [tex]\frac{x_1+x_2}{2}[/tex]

= [tex]\frac{-1+6}{2}[/tex]

= [tex]\frac{5}{2}[/tex]

= [tex]2.5[/tex]

The midpoint on Y-axis is:

= [tex]\frac{y_1+y_2}{2}[/tex]

= [tex]\frac{5+(-3)}{2}[/tex]

= [tex]\frac{5-3}{2}[/tex]

= [tex]\frac{2}{2}[/tex]

= [tex]1[/tex]

Thus the midpoint of AB is "2.5, 1".

Answer:

Step-by-step explanation:

What is 20 as a decimal? To write 20 as a decimal you have to divide numerator by the denominator of the fraction. 20 is not a fraction so it is a decimal already. And finally we have: 20 as a decimal equals 20

Answer:

Hello! answer: x = 4

Step-by-step explanation:

Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!

180 degree line-

180 = (8x + 120)

-120

60 = 8x

/8

7.5

x = 7.5

7(7.5) = 52.5

Answer:

12 /7

Step-by-step explanation:

theres no quotient

Answer:

The answer is:  (12/7) OR  (1 5/7) <-- (SIMPLIFIED)

Step-by-step explanation:

First you would divide your original fraction by 3 : (5 1/7 / 3= 36/21). Next, you would  simplify  the fraction you have know (36/21) and simplify it by dividing the numerator (top number) & denominator ( bottom number) both by 3. ( 36/3= 12)  and ( 21/ 3= 7) . and so you would get your fraction 12/7 and or 1 5/7 ( if they want it to be simplified)

~ I rlly hope this helped you in any way, have a gr8 day/night my friend!~

Answer:

1) 81.67 cm² (Option A)

2) 28.26 m² (Option B)

3) 153.86 mi.² (Option D)

4) 329.90 m² (Option A)

5) 63.585 ft.² (Option C)

Step-by-step explanation:

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

Diameter of a circle with radius 'r' = 2r

Area of a circle with radius 'r' = πr²

SOLUTION :-

1) Diameter of the dinner plate = 10.2 cm

Radius of the dinner plate = 10.2/2 = 5.1 cm

⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²

2) Length of his leash = 3m

⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²

3) Radius of the circular range of storm = 7 mi.

⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²

4) Diameter of carousel = 20.5 m

Radius of carousel = 20.5/2 = 10.25 m

⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²

5) Radius of the range of sprinkler = 4.5 ft.

⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²

Answer:

The decision made by the researcher based on this information is to reject the null hypothesis.

Step-by-step explanation:

Two-tailed hypothesis test:

Critical value: [tex]z_c[/tex]

Test statistic: z

If [tex]|z| < |z_c|[/tex], we do not reject the null hypothesis.

If [tex]|z| > |z_c|[/tex], we reject the null hypothesis.

In this question:

[tex]z_c = 1.96, z = -2.05, |z| = 2.05[/tex]

Since [tex]|z| > |z_c|[/tex], we reject the null hypothesis.

The decision made by the researcher based on this information is to reject the null hypothesis.

Answer:

area of triangle =1/2 x b x h

Step-by-step explanation:

=1/2 x 7 x 12

= 1/2 x 84

= 42 units

Answer:

okay!

Step-by-step explanation:

its B

Answer:

C)

Step-by-step explanation:

we eliminate these two options

because remember quadratic function standard form

[tex] \displaystyle f(x) = {ax}^{2} + bx + c[/tex]

recall that, if

but a is positive so it won't flip upside down therefore,

these two are our answer

it seems good but it's not the answer according to the given condition however it's true for the opposite of the given condition:

it's our answer since the condition x<-2 for the quadratic function tells us everything is input For x which is less than -2 the graph-c as well yields so

likewise the absolute value function. the condition tells everything is input for x which is greater than or equal to -2 the graph also says so

hence our answer is C

Answer:

0.14

Step-by-step explanation:

0.14 is the probability that a person will retake their sexfie exactly 3 times.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given

Total frequency = 27+29+18+14+12 = 100

frequency of 3 retakes = 14

p(r) = frequency of 3 retakes/ Total frequency

p(r) = 14/100 = 0.14

To learn more about probability refer to:

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Answer:

y=5x

Step-by-step explanation:

If the input is x, then the out put is 5x. So y=5x

Answer:

Step-by-step explanation:

[tex] - |3a + \sqrt{b} | [/tex]

By putting the values of a = -4 , b = 9,

[tex] = - |3 \times ( -4) + \sqrt{9} | [/tex]

[tex] = - | - 12 + 3| [/tex]

[tex] = - | - 9| [/tex]

= -(9)

= -9 (Ans)

Answer:

It's D on EDGE

Step-by-step explanation:

The compliment of the set S is {x|x is a rational non-integer}

The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

Let the universal set be represented as U

where the value of U is

U = {x|x is a rational numbers}

And , let the second set be represented as S,

where S = {x|x is an integer}

Now , the compliment of set S is given by = S'

And , S' = 1 - S

On simplifying , we get

S' = 1 - {x|x is an integer} and it belongs to U

So , S' = {x|x is a rational non-integer}

Hence , the set is S' = {x|x is a rational non-integer}

To learn more about union and intersection of sets click :

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Answer: 87

Step-by-step explanation:

This will be solved using an arithmetic progression. The formula will be:

= a + (n - 1)d

where,

a = first term = 10

d = common difference = 7

n = 12

Therefore, 12 term will be:

= a + (n - 1)d

= 10 + (12 - 1) × 7

= 10 + (11 × 7)

= 10 + 77

= 87

Therefore, the number of stitches that are in the 12th row will be 87.

Answer:

[tex]P(x<3.12)= 0.21186[/tex]

Step-by-step explanation:

Mean [tex]\=x=\$3.20[/tex]

Standard deviation [tex]\sigma =\$0.10[/tex]

Estimated price [tex]y=\$3.12[/tex]

Generally the equation for P(x<3.12) is mathematically given by

 [tex]P(x<3.12)=P(\frac{y-x}{\sigma}<-\frac{3.12-3.20}{0.10})[/tex]

 [tex]P(x<3.12)=(z<-0.8)[/tex]

Since from Z table

 [tex]P(x<3.12)= 0.21186[/tex]

Therefore the  proportion of the milk vendors that have prices that were less than $3.12 per gallon is

 [tex]P(x<3.12)= 0.21186[/tex]

9514 1404 393

Answer:

  B. (3/2x, 3/2y)

Step-by-step explanation:

It is perhaps easiest to see that B' is 3 grid squares from the origin while B is 2 grid squares from the origin. The scale factor is the ratio of these distances:

  3/2

Dilation about the origin multiplies each coordinate value by the scale factor:

  (x, y) ⇒ (3/2x, 3/2y)

Answer:

8y^3+6y^2-29y+15

Step-by-step explanation:

the correct expression is

(4y − 3)(2y^2 + 3y − 5)

Given data

We have the expression

(4y − 3)(2y^2 + 3y − 5)

let us open bracket

8y^3+12y^2-20y-6y^2-9y+15

Collect like terms

8y^3+12y^2-6y^2-20y-9y+15

8y^3+6y^2-29y+15

Answer:

Where's the picture?