What is the volume of the prism? m 14 m 6 m 8 m​

Answer:

[tex]\bar x =29.7[/tex]

[tex]\sigma = 6.81[/tex]

[tex]Median = 30.5[/tex]

Step-by-step explanation:

Given

[tex]Data:20,38,24,39,27,40,28,37,29,35,30,31,32,19,33,18,34,21,36,23[/tex]

[tex]n = 20[/tex]

Solving (a): The sample mean

This is calculated as:

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{20+38+24+39+27+40+28+37+29+35+30+31+32+19+33+18+34+21+36+23}{20}[/tex]

[tex]\bar x =\frac{594}{20}[/tex]

[tex]\bar x =29.7[/tex]

Solving (b): The standard deviation

This is calculated as;

[tex]\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{928.2}{20}}[/tex]

[tex]\sigma = \sqrt{46.41}[/tex]

[tex]\sigma = 6.81[/tex]

Solving (c): The median

First, sort the data in ascending order

[tex]Sorted:18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40[/tex]

The position of the median is calculated as:

[tex]Median = \frac{n+1}{2}[/tex]

[tex]Median = \frac{20+1}{2}[/tex]

[tex]Median = \frac{21}{2}[/tex]

[tex]Median = 10.5th[/tex]

The 10.5th item represents the mean of the 10th and 11th item.

So, median is:

[tex]Median = \frac{30+31}{2}[/tex]

[tex]Median = \frac{61}{2}[/tex]

[tex]Median = 30.5[/tex]

Answer:

IF THERE IS A LINK DON'T CLICK ON IT

Step-by-step explanation:

IT IS A COMPUTER TABLET AND PHONE VIRUS

The coordinates of vertex G are (2,0). I did this.

Answer:

f(x) = -x -3

Step-by-step explanation:

Answer:

$135

Step-by-step explanation:

Given data

Principal= $1,500

Time= 18 months = 1.5 years

Rate= 6%

The formula for simple interest is given as

SI= PRT/100

Substiute

SI= 1500*6*1.5/100

SI= 13500/100

SI= $135

Hence the simple interest after 18months(1.5 years) is $135

Answer:

D) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:

The transitive property states that if a=b and b=c, then a=c. So, if two different values equal to the same, separate value, then they are also congruent. The answer choice, d, represents this idea because WX and YZ both equal XY and are shown to be equal.

Answer:

OD) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:I took the test

Answer:

x = 7 1/2

Step-by-step explanation:

x + 2 1/2 = 10

subtract 2 1/2 from both sides of the equation:

x = 7 1/2

Answer:

x=15/2

Step-by-step explanation:

x+2 1/2=10

x+2×2+1/2=10

x+4+1/2=10

x+5/2=10

x=10-5/2

x=15/2

decimal form: 7.5

Step-by-step explanation:

a)U={1,3,4,5}

b)={1,3,5}

Answer:

top right is an acute angle the top left is an obtuse angle and the bottom right is a right angle and I'm not to sure what the bottom right is

Answer:

Bottom right is a right

Step-by-step explanation:

and since it has no matching sides it would be a Isosceles

We know that,

→ Area of circle = πr²

→ Area of circle = π × (6)²

→ Area of circle = π × 36

→ Area of circle = 36π

What is the area of a circle with a radius of 6 inches?

We know,

Radius = 6 inches (Given)

So, Area of circle = π(6)² = 36π in²

The area of a circle with a radius of 6 inches is 36π in².

Hence, option (c) 36π in² is correct. [Answer]

Answer:

C

Step-by-step explanation:

Supplementary angles because their sum is 180 degrees

Answer:

34

Step-by-step explanation:

Answer:

(h,k)=(-1,-3)

radius =10/2=5 unit

equation of the circle

(x-h)² +(y-k)²=r²

(x+1)²+(y+3)²=25 is a required equation..

if c is a irrational number that means a or b is also an irrational number or both of them are irrational numbers but they are different then each other

i hope that will help

There are two possible answers:

You can only pick one of those two cases. In short, exactly one of the 'a' or b is irrational and the other is rational. Both 'a' and b cannot be rational together, and they both cannot be irrational together.

================================================

Explanation:

For a moment, let's say that 'a' and b are both rational numbers. This means they would be ratios of integers. So,

a = p/q

b = r/s

where p,q,r,s are integers. The denominators q & s cannot be zero.

Multiplying those rational numbers 'a' and b leads to

a*b = (p/q)*(r/s) = (p*r)/(q*s)

We get a result in the form of integer/integer. Recall that multiplying any two integers leads to some other integer. Since (p*r)/(q*s) is a ratio of integers, it is rational and that makes a*b = c to be rational. However, your teacher said that c is irrational which is the opposite of rational.

In short, if both 'a' and b are rational, then a*b = c is rational. This means we know for certain that both 'a' and b cannot be both rational for c to be irrational.

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

Next, we'll consider 'a' and b to both be irrational. Is it possible to have a*b = c to be irrational as well? It depends.

If we have the following

a = sqrt(3)

b = sqrt(12)

then,

a*b = sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6

Showing that a*b is rational because 6 = 6/1 is a ratio of integers. This is a bit strange considering how 'a' and b themselves were irrational, but they led to a rational product.

This doesn't always happen since something like

sqrt(3)*sqrt(5) = sqrt(3*5) = sqrt(15)

is irrational. So if both 'a' and b are irrational together, then a*b could be rational or it could be irrational. We would need more information about the values of 'a' and b.

Therefore, we know that we can rule out the case that 'a' and b are irrational together.

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

Lastly, we'll consider the case when one of 'a' or b is rational while the other is irrational. The order doesn't matter. So we'll make 'a' to be irrational and b to be rational.

Since b is rational, this means b = p/q for some integers p,q where q is nonzero. The value of 'a' cannot be written as a ratio like this because it is irrational.

Multiplying any nonzero rational number with an irrational one always leads to an irrational result. If a*b was rational, then we could say

a*b = r/s

a*(p/q) = r/s

a = (r/s)*(q/p)

a = (r*q)/(s*p)

Showing that 'a' is rational, but this contradicts the fact we made 'a' to be irrational at the top of this section. Therefore, a*b is always irrational if exactly one of 'a' or b is irrational and the other is rational.

In other words, if,

then a*b = c is irrational

Answer: 408

Step-by-step explanation:

The present worth of Rs 2040 is due 4 years hence reckoning interest at 5% per annum will be Rs 2448.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Simple interest has a constant principal amount, as opposed to compound interest, which multiplies the interest from the principal of previous years to calculate the interest of the subsequent year.

Given,

Principle amount =  Rs 2040

Time period = 4 years

Rate of interest = 5 %

Simple interest = PRT/100

Simple interest = 2040 × 5 × 4/100 = Rs408

Present worth =  Principle amount + Interest

Present worth = 2040 + 408

Present worth = Rs 2448.

Hence present worth of the amount of Rs2040 in 4 years will be Rs 2448.

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Answer:

38.8%

Step-by-step explanation:

This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.

The red triangle has an area = 1/2 h * b

The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)

The red triangle area = 1/2 6.5 * 6

The red triangle area = 19.5

The area of the circle = pi * r^2

pi = 3.14

r = 4

The area of the circle = 3.14 * 4^2

The area of the circle = 50.24

% = (19.5/50.25) * 100

% = 38.8%

Answer:

3

Step-by-step explanation:

=12/4

the common ratio =3

Answer:

40 because every hour he charges 40 dollas so its 40x+75=y

Step-by-step explanation:

The slope is 40 because every hour he charges 40 dollars so its 40x+75=y

We have given that,

An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.

We have to determine,

When this linear relationship is graphed, which value represents the slope.

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as a rising overrun.

The slope is 40 because every hour he charges 40 dollars so its 40x+75=y

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Answer:

1.6

Step-by-step explanation:

since it is 5 days and you are splitting the traik mix

divided the amount of trail mix by the day

Answer:

The answer is D

Step-by-step explanation:

Answer:

588 pencils

Step-by-step explanation:

3 classroom times 4 boxes

12 boxes in total

12 boxes times 7

84 packages

7 pencils in each package

84 x 7

588 pencils

brainliest?

Answer:

x = 11

Step-by-step explanation:

ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.

Angles in an equilateral triangle are all 60°.

Thus, ∠L = 60°.

=> 3x + 27 = 60

=> 3x = 33

=> x = 11

[tex]x=11[/tex]

Step-by-step explanation:

[tex]∠L=(3x+27)°[/tex]

Value of x.

[tex]∠L= ∠K= ∠M=(3x+27)°[/tex]

[All sides of triangle are equal]

[tex]∠L+ ∠K+ ∠M= 180°[/tex]

[Sum of all of triangle is 180°]

[tex]=>3x+27°+3x+27°+3x+27°=180°[/tex]

[tex]=>9x+81 =180°[/tex]

[tex]=>9x=180°-81[/tex]

[tex]=>9x=99[/tex]

[tex]=>x=\frac{99}{9}[/tex]

[tex]=>x=11[/tex]

given

[tex]y = - 67.9x + 679[/tex]

Substitute x into equation to find y.

[tex]y = - 67.9(2) + 679 \\ = - 135.8 + 679 \\ = 543.2miles[/tex]

Answer:

S(t) = 4.725t + 478.25

S(t) = 4.725(42)+478.25

S(t) = 676.7

Step-by-step explanation:

In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.

Order the pairs to get:

(30,620) and (70, 809)

With these values, you use the the equation [tex]\frac{x2-x1}{y2-y1}[/tex] to get the slope m.

[tex]\frac{70-30}{809-620} = 4.725[/tex]

Use this equation and input any ordered pair to get the final function.

y-y1 = m(x-x1)

y-620 = 4.725x-141.75

y = 4.725x + 478.25

Replace x with t and y with S(t) to fit the x & y axis of the question.

Answer:

D) LM=12; QP=8

Step-by-step explanation:

12/18=(x-1)/(x+3)

cross multiply

12x+36=18x-18

36+18=18x-12x

54=6x

9=x

LM = x+3 = 9+3 = 12

QP = x-1 = 9-1 = 8

Answer:

2 cans

Step-by-step explanation:

1/2 + 1/4 + 4/5 = 1.55

2 is the best answer since we know the cat eats more than 1 and a half cans so the closest thing would be 2 cans

Answer:

Yes

Step-by-step explanation:

4*180

2*360

1*720

8*90 = 720

Yes, halving the denominator and doubling the numerator gives the same results so she is correct.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It shows how many parts have been taken out of the whole. The numerical number that comes before the sum of all the factors is the denominator of a fraction.

Let's consider a multiplication a × b

If we do half of a and double of b

Then,

a/2 × 2b = a × b

Again,

(a/2)/2 × 2(2b) = a × b

So it will remain the same.

So similarly  8 x 90 will also remain the same.

Hence "Yes, halving the denominator and doubling the numerator gives the same results so she is correct".

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Answer:

Step-by-step explanation:

x^2 - 17x - 60

(x - 20)(x + 3)

x^2 + 3x - 20x - 60

x^2 - 17x - 60

(x + 20) is not one of the factors

using F.O.I.L., it would have been

x^2 + 17x - 60

Answer:

1.83

Step-by-step explanation:

Answer:

I'm not good with models and modeling but the answer will be 1.83.