please help me solve this!! WILL GIVE BRAINLIEST! explain how you did it so i can do the others by myself




Find the volume of the prism.


Volume of prism = _____

Please Help Me Solve This!! WILL GIVE BRAINLIEST! Explain How You Did It So I Can Do The Others By MyselfFind
Please Help Me Solve This!! WILL GIVE BRAINLIEST! Explain How You Did It So I Can Do The Others By MyselfFind

Answers

Answer 1

Answer:

If this helps, the equation to solve for the volume of a prism is V=Bh.

Step-by-step explanation:

B is the base and h is the height. You have to multiply them to find the volume. Hope this helps.

Answer 2

Volume of the prism = area of the triangle x the thickens the triangles make;

V= {[(9/4)x (10/3)]/2} x (22/3)= (90/12) x(1/2) x(22/3)= 90x22/12x2x3=

30x11/12=330/12= 27 1/2


Related Questions

(Two questions)The temperature in an office is controlled... PLEASE

Answers

Answer:

a) the temperature is y = 16° C at 9 AM.

b) The probability of selecting 2 vowels at the same time is 2.8%

Step-by-step explanation:

a)

Temperature = y=?

Time = x = 9 A.M

The given equation is:

[tex]y = 19 + 6 sin (\frac{\pi }{12}(x-11))[/tex]

Putting x = 9 and solving

[tex]y = 19 + 6 sin (\frac{\pi }{12}(9-11))\\y = 19 + 6 sin (\frac{\pi }{12}(-2))\\y = 19 + 6 sin (\frac{-\pi }{6})\\y = 19 + 6(-0.5)\\y = 19 - 3\\y = 16[/tex]

So, the temperature is y = 16° C at 9 AM.

b)

WORD CLEMSON

Total Words = 7

Vowels = e, o = 2

Probability of selecting 2 vowels at the same time = P(2 Vowels) =?

We will use the formula of combinations nCr = n! / r! (n-r)!

As we are selecting three letter out of 7, the sample space will be 7C3

And

As there are only two vowels in the given word, and we have to find the probability of selecting two vowels so our event space will be 2C2.

P(2 Vowels) = 2C2 / 7C3

                    = 1/35

                    = 0.028 = 2.8%

So, The probability of selecting 2 vowels at the same time is 2.8%

                 

help please thanks a lot

Answers

Answer:

7                x

------ = -----------

20         400

Step-by-step explanation:

We want a ratio of bass over the total in the pond

Adding the samples

(8+6)           14                 7

--------    = ------------ = ---------

(20+20)        40             20

Set this equal to a ratio of 400 total fish

Bass on top, total fish on bottom

7                x

------ = -----------

20         400

a right triangle has one side that measures 4 in. the angle opposite that side measures 80° what is the length og the hypotenuse if the triangle? round to the nearest tenth.

Answers

Answer:

The length of the hypotenuse is 4.1 in

Step-by-step explanation:

we know that

In the right triangle of the problem

The function sine of angle of 80 degrees is equal to divide the opposite side to the angle of 80 degrees (4 in) by the hypotenuse

Let

x ----> the hypotenuse

so

sin(80°)=4/x

isolate the variable x

x=4/sin(80°)

x=4.1 in

Answer:

B: 4.1 in.

Step-by-Step Explanation:

on edge! hope this helps!!~ (=´∇`=)

The formula for the surface area, a, of a prism is given by A=2lw +2lh +2wh where is the length of the prism, w is the width, and h is the height. Which formula is the result of solving for the formula l

Answers

Answer:

[tex]l=\frac{A-2wh}{2w+2h}[/tex]

Step-by-step explanation:

We were given that; the formula for the surface area, A, of a prism is given by

[tex]A=2lw +2lh +2wh[/tex]

where is the length of the prism, w is the width, and h is the height.

We want to solve this formula for l,

Group the l terms;

[tex]A-2wh=2lw +2lh [/tex]

Factor l on the right;

[tex]A-2wh=(2w +2h)l [/tex]

Divide both sides by 2w +2h

[tex]\frac{A-2wh}{2w+2h}=l[/tex]

Therefore:

[tex]l=\frac{A-2wh}{2w+2h}[/tex]

Answer:

What he said.

Step-by-step explanation:

(2X-3)(3X+4)
I NEED HELP ON THIS ANSWER PLEASEE

Answers

Answer:

6X^2 -X -12

Step-by-step explanation:

(2X-3)(3X+4)

FOIL

first 2X*3X = 6X^2

outer 2X *4 = 8X

inner -3 *3X = -9x

last = -3 *4 =-12

Add them together = 6X^2 +8X -9X -12

                                 = 6X^2 -X -12

Answer:

6x^2 - x - 12

Step-by-step explanation:

2x(3x + 4) = 6x^2 + 8x

-3(3x + 4) = -9x - 12

6x^2 + 8x - 9x - 12

6x^2 - x - 12

A roulette wheel has 38 slots around the rim. the first 36 slots are numbers from 1 to 36. half of these 36 slots are​ red, and the other half are black. the remaining 2 slots are numbered 0 and 00 and are green. if the roulette wheel is spun 152 times predict about how many times the ball will land on 17 or 20

Answers

Answer:

15 or 16 times

Step-by-step explanation:

The ball will land on 6 or 29 about 14 times.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

There are 2 slots that have a "6" or a "29" on them. The other 36 slots have different numbers.

The probability of landing on "6" or "29"

= 2/38

= 1/19

Now, Multiply this probability by the number of trials to get

= 266 x (1/19)

= 14

Hence, we expect the ball will land on 6 or 29 about 14 times.

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In the triangle below what ratio is cot G

Answers

Answer:

h/g

Step-by-step explanation:

we know that

The cotangent of angle G is equal to divide the adjacent side angle G to the opposite side angle G

so

cot(G)=h/g

24) The student body of 10 students wants to
elect four representatives.
A) Combination: 210
(B) Combination: 270
C) Permutation: 420
D) Combination: 630​

Answers

Answer:

210

Step-by-step explanation:

There are calculators online that can help you with questions like this, and give you a step by step explaination to show the work

The Combination to elect four representatives out of 10 students is 210.

The correct option is (A).

What is permutation and combination?

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.

Firstly, n=10 and r=4

Combination: C(n,r)=C(10,4)

                                 = [tex]\frac{10!}{4!(10-4)!}[/tex]

                                 = [tex]\frac{10!}{4!* 6!}[/tex]

                                 = [tex]\frac{10*9*8*7}{4*3*2*1}[/tex]

                                 = 210

and permutation: P(n,r)=P(10,4)

                                      = [tex]\frac{10!}{(10-4)!}[/tex]

                                      = 10*9*8*7

                                      = 5040

Hence, the combination of data is 210 and permutation is 5040.

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The systems shown have the same solution set.

A) True
B) False

Answers

Answer:

True

Step-by-step explanation:

True.

The solution to a system of equations is the point where two equations intercept. In both cases, we can see that the interception of the two systems shown occurs at (0, 1). So the statement is correct.

Answer:

It's True

Step-by-step explanation:

Which expression can be used to determine the length of segment ZY? See image.

Answers

Answer:

[tex]\sqrt{8^{2} + 3^{2} }[/tex]

Step-by-step explanation:

We see that this is a rectangle triangle, and that the ZY side is the hypotenuse.

It's length is then square root of the sum of the squares of the other sides:

[tex]hyp = \sqrt{a^{2} + b^{2} }[/tex]

So, in this case:

[tex]ZY = \sqrt{8^{2} + 3^{2} }[/tex]

The 8 and 3 numbers are easy to get from the graphic... and the order doesn't matter (8² + 3² = 3² + 8²).

That's an easy rule to remember.

I hope it helps.

Answer:

[tex]|ZY|=\sqrt{8^2+3^2}[/tex]

Step-by-step explanation:

ZY is the hypotenuse of triangle XZY.

The two shorter legs are;

YX=3 units

and

XZ=8 units.

According to the Pythagoras Theorem;

[tex]|ZY|^2=|XZ|^2+|YX|^2[/tex]

This implies that;

[tex]|ZY|^2=8^2+3^2[/tex]

We take the positive square root to obtain;

[tex]|ZY|=\sqrt{8^2+3^2}[/tex]

The second choice is correct

Which statement defines the horizontal asymptote?


m < n, so y = 0 is the horizontal asymptote.


m = n, so y = am / bn is the horizontal asymptote.


m = n, so y = 0 is the horizontal asymptote.


m > n, so there is no horizontal asymptote.

Answers

Answer:

(B) The correct answer is B: m = n, so y = am / bn is the horizontal asymptote.

The second part is The horizontal asymptote is y = 5

The horizontal asymptote is a horizontal line that guides the graph for values of x, but is not part of the graph

The correct option that defines the horizontal asymptote is the option;

m = n, so the horizontal asymptote is  [tex]\underline {y = \dfrac{a_m}{b_n}}[/tex]

Reason:

The possible function of the question is [tex]f(x) = \dfrac{20 + 5 \cdot x}{x}[/tex]

The general form of the rational function is presented as follows;

[tex]f(x) = \dfrac{x^m+...+ a \cdot x + c}{x^n + ...+b\cdot x + d}[/tex]

The power or degree of the numerator and denominator of a rational function  determine the nature of the horizontal asymptote

Where highest power in numerator is less than the highest power or degree of the denominator, the horizontal asymptote is at y = 0

Therefore;

m < n the horizontal asymptote is y = 0

Where the power of the numerator is larger than the power of the denominator by one, the asymptote is slant, and the graph has no asymptote

m > n, there is no horizontal asymptote

In a rational function where the power of the numerator is equal to the power of the denominator, the horizontal asymptote occurs at the ratio of the leading zeros, [tex]y = \dfrac{a_m}{b_n}[/tex]

m = n, the horizontal asymptote is [tex]y = \dfrac{a_m}{b_n}[/tex]

Therefore;

In the given function, [tex]f(x) = \dfrac{20 + 5 \cdot x}{x}[/tex], the power of the numerator is equal to the power of the denominator, therefore, we have;

m = n, so the horizontal asymptote is [tex]\underline {y = \dfrac{a_m}{b_n}}[/tex]

The horizontal asymptote of the function is [tex]y = \dfrac{5}{1} = 5[/tex]

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How is the product of 3 and 2 shown on a number line?

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Did the Quiz on Edge

A photo booth charges a $500 fee for two hours at a party, plus $50 per additional hour. Cindy doesn't want to spend more than $700 on the photo booth rental. What is the maximum number of additional hours (beyond the first two) that Cindy can rent the photo booth for her party?

Answers

Answer:

YOU CAN HAVE 4 MORE HOURS WITH THE PHOTO BOOTH

Step-by-step explanation:

500 IS FOR 2 HOURS SHE DONT WANT TO WASTE MORE THAN 700 SO ITS 50 DOLLARS FOR ANOTHER HOUR

500 + 50 IS 550 THATS ONE HOUR ADDED 550+50 = 600 THATS 2 HOURS 600 + 50=650 THATS 3 HOURS 650+50= 700 SHE GOT IT FOR 4 HOURS IN TOTAL SHE HAD IT FOR 6 HOURS COUNTING THE 2 HOURS FOR IT AT THE PARTY . PERIODDT.....

Cindy can rent the photo booth for a maximum of 4 additional hours beyond the first two hours included in the base fee, given her budget of $700.

The student is asking how many additional hours Cindy can rent a photo booth for her party, given her budget constraints. Initially, there is a $500 fee for two hours, and each additional hour costs $50. Cindy has a budget of $700 in total, which means she can spend $200 on additional hours beyond the first two hours included in the base fee. To calculate the maximum number of additional hours, we divide the additional budget ($200) by the cost per additional hour ($50).

So, the calculation is
$200 / $50 = 4 additional hours.

Cindy can thus rent the photo booth for a maximum of 4 additional hours without exceeding her budget of $700.

what the domain and range is for the function f(x) = x2 + 4x - 21.

Answers

Answer:

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  f(x) = x^2 + 4x - 21.

This function has a graph which is a parabola that opens up.

Its vertex is found by completing the square:

x² + 4x + 4 - 4 - 21, or

 (x + 2)² - 25

Comparing this to the standard equation

 (x - h)² + k, we see that h = -2 and k = -25.

Thus, the vertex (and the minimum of this function) is (-2, -25).

Thus, the range is [-25, ∞ ).  This being a polynomial function, it has no restrictions on the domain:  the domain is (-∞, ∞ )

If KLMN is a square, then ___________________.



A. it must be a rhombus



B. it might be a rhombus



C. it cannot be a rhombus

Answers

-Hello There-

A square is always a rhombus because it satisfies all the properties of rhombus but every rhombus cannot a square.

Therefore, If KLMN is a square, then it must be a rhombus.

Have A Fantastic Day

Be Safe,

TheBlueFox

Answer:

It must be a rhombus

Step-by-step explanation:

A homeowner has 5 zucchini plants in her garden. Over the course of the season, the yields (number of zucchinis per plant) are: Plant 1 2 3 4 5 Yield 15 12 17 14 22 Using the information in the table provided, to the nearest tenth, calculate the average yield per plant and the standard deviation. A. average yield per plant: a0 B. standard deviation: a1

Answers

Answer:

Average = 16, standard deviation =

Step-by-step explanation:

15+12=27

27+(17+14)+22=27+31+22=80

80/5=16

Distance from 22 to 16=6, from 12 to 16=4, so deviation = 5

Answer:

Average yield per plant is 16 and standard deviation is 3.4058.

Step-by-step explanation:

Given : A homeowner has 5 zucchini plants in her garden.

Plant 1 2 3 4 5

Yield 15 12    17 14 22  

Average : [tex]\frac{\text {Sum of all yields}}{\text{Total no. of plants}}[/tex]

Average : [tex]\frac{15+12+17+14+22}{5}[/tex]

Average : [tex]16[/tex]

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

                               =[tex]\sqrt{\frac{(15-16)^2+(12-16)^2+(17-16)^2+(14-16)^2+(22-16)^2}{5}[/tex]

                               =[tex]3.4058[/tex]

Hence average yield per plant is 16 and standard deviation is 3.4058.

Lorena is driving a truck that is painting the lines on a new road. The lines she paints are 0.152 meters wide, and she will paint a total length of 5.45 × 105 meters of lines. The shape created by the lines will be a rectangle, and the area will be the product of the length and width.
Approximately what area of the road will Lorena be painting?

5.602 × 10 (5) m2
8.284 × 10 (4) m2
8.698 × 10 (1) m2
8.284 × 10 (5) m2
5.602 × 10 (4) m2

Answers

Answer:

  8.284 × 10^4 m^2

Step-by-step explanation:

The area is the product of length and width:

  (5.45·10^5 m)·(0.152 m) = 0.8284·10^5 m^2 = 8.284·10^4 m^2

Please help me.... (:

Answers

Answer:

x = 5

Step-by-step explanation:

The line segment divides the sides in proportion, that is

[tex]\frac{14}{10}[/tex] = [tex]\frac{2x-3}{x}[/tex] ( cross- multiply )

10(2x - 3) = 14x ← distribute left side

20x - 30 = 14x ( subtract 14x from both sides )

6x - 30 = 0 ( add 30 to both sides )

6x = 30 ( divide both sides by 6 )

x = 5

Solve the system of equations using the addition method 2a+3b=-1 ; 3a+5b=-2

Answers

Answer:

Then, a=-1 and b=-1

Step-by-step explanation:

We need to solve the following system of equations using the adition method:

2a+3b=-1       (i)

3a+5b=-2      (ii)

First, we multiply the equation (i) by -3 and the equation (ii) by 2, so we get:

-6a-9b=3

6a+10b=-4

Adding the two equations we have:

-6a-9b=3

6a+10b=-4

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

 0  + b = -1

Then b=-1. Now, let's substitute the value of b into equation (i):

2a+3b=-1

2a + 3(-1) = -1

2a -3 = -1

2a = 2

a = 1

Then, a=-1 and b=-1

Answer:

a = 1 and b= -1

Step-by-step explanation:

It is given two equations,

2a + 3b = -1  and

3a + 5b = -2  

To find the solution of given equations

Let, 2a + 3b = -1   ----(1)

3a + 5b = -2   ------(2)

(1) * -3 ⇒

-6a - 9b = 3    ----(3)

(2) * 2 ⇒

6a + 10b = -4   -----(4)

(3) + (4 )⇒

-6a - 9b = 3    ----(3)

6a + 10b = -4   -----(4)

  0 + b  = -1

(1) ⇒ 2a + 3b = -1  

2a + (3 * -1) = -1

2a = -1 + 3 = 2

a = 2/2 =1

Therefore, a = 1 and b = -1

A new firehouse is being built equidistant from three other fire stations. Positioned on a grid, the current fire stations would be located at (3, 7), (−1, −1), and (−4, 8). What are the coordinates of the location where the new firehouse should be built?

Answers

Answer:

answer is C

Step-by-step explanation:

Help me out .... Solve for x and y.

Answers

ANSWER

x=24 , y=8√3

EXPLANATION

The given triangle is a right triangle

To find x, we use the cosine ratio, given by:

[tex] \cos(30 \degree) = \frac{adjacent}{hypotenuse} [/tex]

[tex]\cos(30 \degree) = \frac{x}{16 \sqrt{3} } [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{x}{16 \sqrt{3} } [/tex]

Solve for x,

[tex]x = \frac{ \sqrt{3} }{2} \times 16 \sqrt{3} [/tex]

[tex]x = 8 \times 3 = 24[/tex]

To find the value of x, we use the sine ratio:

[tex] \sin(30 \degree) = \frac{opposite}{hypotenuse} [/tex]

[tex]\sin(30 \degree) = \frac{y}{16 \sqrt{3} } [/tex]

[tex] \frac{1}{2} = \frac{y}{16 \sqrt{3} } [/tex]

Solve for y to get,

[tex]y = \frac{1}{2} \times 16 \sqrt{3} [/tex]

[tex]y = 8 \sqrt{3} [/tex]

In 2010, the estimated population of Los Angeles was 3.79 × 106 people. The population of California that same year was about 9.84 times this number. Which expression shows the approximate population of the state of California in 2010?

Answers

Answer:

The approximate population of the state of California in 2010 was [tex]37,293,600\ people[/tex]

Step-by-step explanation:

Let

x----->the estimated population of Los Angeles in 2010

y----->the estimated population of the state of California in 2010

we know that

[tex]y=9.84x[/tex] ------> equation A

we have

[tex]x=3.79*10^{6}\ people[/tex]

Substitute the value of x in the equation A and solve for y

[tex]y=9.84(3.79*10^{6})=37.2936*10^{6}\ people[/tex]

[tex]37.2936*10^{6}=37,293,600\ people[/tex]

Answer:

3.73 × 10^7 people

Step-by-step explanation:

The original equation 3.79 × 10^6 = 3790000. 3790000× 9.84=37293600. 37293600 estimated is about 37300000. That would make 3.73 × 10^7 the expression that represents the amount of people in California.

The following graph shows the preimage, P(x)=x−−√, and the image after a vertical dilation of I(x)=k⋅P(x).

What is the value of k in this transformation?

Answers

Answer:

k = 3

Step-by-step explanation:

The graph P(x) is a square root function. It has a vertex of (0,0) and has the following points:

x      f(x)

0       0

1         1

2       √2

3       √3

4       2

P(x) appears to be the function √x.

The image of l(x) changes the points of the function to

x      f(x)

0       0

1        3

2      3√2

3       3√3

4       6

You can divide the function values of l(x) by P(x).

3/1 = 3

6/2 = 3

The scale factor for the dilation is 3. k= 3.

HELPPPP 15 POINTS!!! I need an answer fast

Answers

Answer:The answer is B

Step-by-step explanation:Because the exponent is 6 for Silver Town and 8 for Lake City

Answer:

Step-by-step explanation:

10^6=1000000

1000000x8.2

silver town 8200000

lake city 164000000

Find the level of a two-sided confidence interval for t = 2.776 with sample size 5. express the answer as a percent.

Answers

Using a t-distribution calculator, it is found that the confidence level is of 95%.

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

In this problem, we have that t = 2.776, df = 5 - 1 = 4 for a two-tailed interval, hence looking at the t-table it is found that the confidence level is of 95%.

More can be learned about the t-distribution at https://brainly.com/question/16313918

An increase in which of the following will decrease the monthly payment ?
Answers:
A: interest rate
B: Down payment
C: Principal
D: None or the above

Answers

Answer:

B:  down payment

Step-by-step explanation:

An increase in the down payment decreases the amount of money that has to be paid over time.

The monthly payment decrease with the increase in down payment of the loan amount. Option B is correct.

What is monthly payment?

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount.

It can be calculated with the following formula.

[tex]M=P\left(\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]

Here, (P) is the principal amount, (r) is the interest rate and (t) is time.

The monthly payment is inversely proportional to the down payment. When the money paid as down payment is more, then the monthly payment of loan is less.

Thus, the monthly payment decrease with the increase in down payment of the loan amount. Option B is correct.

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a party rental company has chairs and tables for rent. the total cost to rent 12 chairs and 2 tables is $47. the total cost to rent 3 chairs and 5 tables is $50. what is the cost to rent each chair and each table.
cost to rent each chair: $ ?
cost to rent each table: $ ?

Answers

Answer:

t= $ 6.75 cost for table

c= $ 1.50 chair cost

Step-by-step explanation:

Answer:

chair 2.50

table 8.50

Step-by-step explanation:

Determine the factors of 5x2 + 6x − 8. (5x − 1)(x + 8) (5x − 8)(x + 1) (5x − 4)(x + 2) (5x − 2)(x + 4)

Answers

Answer:

  (5x − 4)(x + 2)

Step-by-step explanation:

For the purpose, it is sufficient to make sure the middle terms match.

The middle term in the product of each of the answer choices is ...

  -1+40 ≠ 6

  -8+5 ≠ 6

  -4+10 = 6 . . . . . the third selection is the one you want

  -2+20 ≠ 6

Answer:  The correct option is (C) (5x − 4)(x + 2).

Step-by-step explanation:  We are given to determine the factors of the following quadratic expression :

[tex]E=5x^2+6x-8.[/tex]

To factorize the given expression, we need to find two integers whose sum is 6 and whose product is -40.

The factorization is as follows :

[tex]E\\\\=5x^2+6x-8\\\\=5x^2+10x-4x-8\\\\=5x(x+2)-4(x+2)\\\\=(5x-4)(x+2).[/tex]

Thus, the factors of the given expression are (5x - 4) and (x + 2). That is,

[tex]5x^2+6x-8=(5x-4)(x+2).[/tex]

Option (C) is CORRECT.

What is the probability of drawing any face card from a standard deck of 52 playing cards?

Answers

Answer:

Counting aces: 30%.

Not counting aces: 23%

Step-by-step explanation:

If you're counting aces, it's 30%. But if you're only counting Queens, Kings and Jokers then it's about 23%.

I hope this helps

The probability of a student getting an A....

Answers

Answer:

[tex]P (M\ and\ C) = \frac{1}{4}=25\%[/tex]

Step-by-step explanation:

We call M the event in which a student gets an A in math and we call C the event in which a student gets an A in chemistry. As the events are not mutually exclusive, then.

[tex]P (M\ or\ C) = P (M) + P (C) - P (M\ and\ C)[/tex]

In this case we know that:

[tex]P (M\ or\ C) = \frac{7}{10}[/tex]

[tex]P (M) =\frac{17}{20}[/tex]

[tex]P (C) =\frac{1}{10}[/tex]

So

[tex]P (M\ and\ C) = P (M) + P (C) - P (M\ or\ C)[/tex]

[tex]P (M\ and\ C) = \frac{17}{20} + \frac{1}{10} -\frac{7}{10}[/tex]

[tex]P (M\ and\ C) = \frac{1}{4}[/tex]

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