The letters in the word STATISTICS are printed on identical index cards with one letter per card. The ten cards are
then placed in a hat, and one card is randomly chosen (without looking) from the hat. The random process we are
interested in is what letter is on the selected card.
(a) Make a table that shows the set of outcomes and the probability of each outcome.
Outcome
Probability
(b) Consider the following events:
V: the letter chosen is a vowel.
F: the letter chosen falls in the first half of the alphabet (that is, between A and M).
Determine the following probabilities:
P(V) =
P(F) =
P(FC
) =
P(V and F) =
P(V or F) =
(c) Are the events V and F mutually exclusive (disjoint)? Explain.

Answers

Answer 1

Answer:

I think the answer is c I guess


Related Questions

10 lemons cost £1. 20 find the cost for 4

Answers

0.48p

Step-by-step explanation:

1.20÷10=0.12

0.12×4=0.48

put the wrong answer ignore this

Gabriel has a square canvas that
measures 5/4 feet on each side. What is
the area of Gabriel's canvas?

Answers

Area = length x width

Area = 5/4 x 5/4 = 25/16 ft squared

Measure these angles.
a)
b)​

Answers

Answer:

Step-by-step explanation:

Angle A = 55 degrees.                                                                                                   Angle B = 61 degrees.

The measure for part a is 55 degree.

The measure for part b is 61 degree.

What is Acute Angle?

An acute angle is one that is smaller than the right angle. In other terms, an acute angle is formed by an angle less than 90 degrees. Polygons with at least one sharp angle include triangles, parallelograms, trapezoids, and so on.

An acute angle is one that is smaller than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).

Given:

from the Figure we can see that the both angles are less than 90 degree i.e., Right angle.

Also, we know that Angles which are less than 90 degree is acute angle.

So, the both angles are less than 90.

The measure for part a is 55 degree.

and, the measure for part a is 61 degree.

Learn more about Acute angle here:

https://brainly.com/question/27749090

#SPJ2

Mark was working on the long jump competition, and he was able to jump 9 3/4 feet. Chris jumped 7/8 as far as Mark. write and solve the equation that will help you fight how far Chris jumped. explain the steps you took to solve problem. THIS URGENT PLEASE HELP!!​

Answers

Answer:

10 5/8

Step-by-step explanation:

9 3/4 + 7/8 = 9 6/8+7/8=

10 5/8

The distance jumped by Chris in total would be as follows:

[tex]10\frac{5}{8}[/tex]

Find the distance

Distance is denoted as the space that one covers from a particular place to the other.

Given that,

The distance jumped by Mark [tex]= 9\frac{3}{4}[/tex] feet

The distance jumped by Chris [tex]= \frac{7}{8} + 9\frac{3}{4}[/tex]

So,

The total distance covered by Chris would be:

[tex]= \frac{7}{8} + 9\frac{3}{4}[/tex]

[tex]= \frac{7}{8} + \frac{39}{4}[/tex]

[tex]=[/tex] [tex]\frac{(7 + 78)}{8}[/tex]

 [tex]= \frac{85}{8}[/tex]

[tex]=[/tex] [tex]10\frac{5}{8}[/tex]

Thus, [tex]10\frac{5}{8}[/tex] is the correct answer.

Learn more about "Fraction" here:

brainly.com/question/1301963

Plz help asap its due in 40 mins ​

Answers

Answer:

b

Step-by-step explanation:

yes its right

Answer:

1) x=11

2)x=9

3)pr=21

4)fe=68

Janet is playing a game in which she interacts with an environment to solve a puzzle and to meet new characters. She really enjoys this game because there are no time constraints or pressure to perform with speed. What genre of game is Janet most likely playing?

simulation

action

adventure

sports

Answers

Answer:

adventure

Step-by-step explanation:

Answer:

adventure

Step-by-step explanation:

20.7 liters of water came out of a faucet today. If 1.5 liters of water come out each minute, how many minutes was the faucet on?

Answers

Answer:

13 min 8 sec

Step-by-step explanation:

Answer:

13 hours 15 mins

Step-by-step explanation:

20.7/1.5= 13.8

Aaron borrowed money to start a new
business. The simple interest rate on the
loan is 2.5%. He will pay back the loan by
making a total of 12 payments of $266.50
each. How much did he borrow?

Answers

Answer:

$6.69448

Step-by-step explanation:

I=?

P=$266.50

R=2.5*1/100=2.5/100

T=12

P*R*T

$266.50*2.5/100*12=$6.69448

Y varies directly with x. If y = 150 when x = 3, what is x when y = 600

Answers

Answer:

Step-by-step explanation:

Y varies directly with x:

y=kx

for some non-zero constant k

substitute y=150 and x=3:

150=3k

k=50

When y=600:

600=(50)x

x=12

Find the perimeter of the shape on this centimetre grid.

Answers

Answer:

the perimeter is 16

Step-by-step explanation:

The computation of the shape on this centimeter grid is shown below:

As we can see in the attached figure that the some portion is highlighted

So if we count that

like

So after counting it comes 16

Therefore the perimeter is 16

There are (3^5)^2 . 30 leaves on a tree. What is the total number of leaves on the tree? (5 points)

Answers

Answer:

The awnser is 3^10

Step-by-step explanation:

Megan earns $8 per hour babysitting write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $120 interpret the solution

Answers

8x >/= 120
x >/= 15
She must work 15 hours or more to earn at least $120

How much money will Gregg need to save in order to buy a video game for $40 if the sales tax is 8%?

Answers

It would most like be $43 with tax if I’m not mistaken

Answer:

$43.2

Step-by-step explanation:

You need to divide 40 by 100 then multiply by 8, after that add what you get to 40.

is 6 a factor for 71

Answers

Answer:

no its not kpfkansnsbsdhdbdb

An angle measures 154º more than the measure of its supplementary angle. What is the
measure of each angle?


Answers

Answer:

167 & 13

Step-by-step explanation:

(180-154)/2=

26/2=13

154+13=167

area of 10 and 7 in square inches

Answers

Answer:

70 sq. in

Step-by-step explanation:

7*10=70

sorry if im wrong

a closed circular water tank in a subdivision is made up of concreate aluminum. its outer diameter is 8.4 m and its height is 12 m. if it is to be painted on the exterior, then how much total surface area is to be painted?

Answers

Answer:

122.7792 sq. m

Step-by-step explanation:

diameter= 8.4 m

therefore, radius = r = 4.2 m.......( as radius is 1/2 of diameter)

height = h= 12 m

only the exterior is to painted so the total surface area of the cylinder is taken,

total surface area of cylinder = 2π r( h+r)

=2* 3.14* 4.2*(12+4.2)

=122.7792 sq. m

4w+2=2w+7

Please quick I dont have time!

Answers

That’s the answer for this problem

Answer:

W = 2.5 or 5/2

Step-by-step explanation:

It Equal to 2.5 or 5 by 2.

(FILL IN THE BLANK)

Analyze the graph of the exponential decay function.

The initial value is _____

The base, or rate of change is _____

The domain is _____

Answers

Initial value = 1
Rate of change = not sure
Domain = (-infinity, infinity)

PLEASE HELP WITH MY MATH
Carl is attempting to find the value of x by using the side spotter therom. Carl set up the proportion 6/3 = 12/x. if carl is correct what should his answer be ? if carl is incorrect what is the correct proportion and answer


they more answers than a and b I couldn't fit them​

Answers

Answer:

[tex]x = 6[/tex]

Carl is correct

Step-by-step explanation:

Given

[tex]\frac{6}{3} = \frac{12}{x}[/tex]

See attachment

Required

Is Carl correct?

Using the side spotter theorem, the proportion is:

[tex]\frac{AB}{BC} = \frac{AE}{ED}[/tex]

This gives:

[tex]\frac{6}{3} = \frac{12}{x}[/tex]

This proportion is equivalent to Carl's.

Hence, Carl is correct.

Solving further: Cross Multiply

[tex]6 * x = 12 * 3[/tex]

[tex]6 * x = 36[/tex]

Make x the subject

[tex]x = \frac{36}{6}[/tex]

[tex]x = 6[/tex]

Which inequality is equivalent to this one? y-85-2​

Answers

Answer:

[tex]y-8+2\leq -2+2[/tex]

Step-by-step explanation:

Since you're adding either 8 or 2 to both sides, the inequality sign doesn't change.

So we can eliminate the first and second choice.

Now it's down to the bottom two.

The third choice is adding 2 to the left hand side and then adding 8 to the right hand side. You can't add two different numbers to different sides.

Therefore, the last one must be the correct answer.

The last one is adding two to both sides and have the same inequality sign.

Determine whether the given statement is true or false. 1 14 E {12, 14, 16, 18} ​

Answers

If your asking if it is a pattern then yes

There are 36 students in a class, 10 girls and 26 boys. What is the probability of picking a boy out of the class and how likely is it that a boy would be chosen?

Answers

Answer:

13/18

Step-by-step explanation:

P(Picking a boy)=26/36=13/18

Write an equation in standard form of the circle with the given properties.
Center at the origin; r square root 6

Answers

Answer:

x² + y² = 6

Step-by-step explanation:

The standard form of the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

Here r = [tex]\sqrt{6}[/tex] , then

x² + y² = ([tex]\sqrt{6}[/tex] )² , that is

x² + y² = 6

I need help

A square and a triangle have equal area. If the triangle has a height of 8 cm and a base of 9 cm, what is the perimeter of the square?

A:

72 cm

B:

6 cm

C:

24 cm

D:

18 cm

Answers

Answer:

A 72cm

Step-by-step explanation:

Area of a triangle = 1/2 base x height

= 1/2 × 8× 9 = 36cm2

area of triangle = area of square

36cm2 = 36cm2

area of square = length x breath

= x x x = 36cm3

square has all sides(4) equal

therefore: 36/ 2 = 18cm (one side)

(18 x 18= 36cm3, so area is correct)

hence perimeter = 18+ 18+18+18 = 72cm

PLEASE HEALPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPP (−18)×4

Answers

Answer:

-18 x 4 = -72

Step-by-step explanation:

a negative times a positive is a negative number.

Is (x + 3) a factor of f(x) = 4x3 + 11x2 − 75x + 18?
Yes; the remainder is 0 so (x + 3) is a factor
No; the remainder is 234 so (x + 3) is not a factor
Yes; the remainder is 234 so (x + 3) is a factor
No; the remainder is 0 so (x + 3) is not a factor

Answers

Answer: B) No; the remainder is 234, so (x+3) is not a factor.

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

Explanation:

We'll use the remainder theorem. That theorem says if we divide p(x) over (x-k), then the remainder is p(k). A special case of this theorem says that if we get 0 as the remainder, then (x-k) is a factor of p(x).

We're dividing f(x) over (x+3) which means that k = -3. Think of x+3 as x-(-3) so you can match it up with the form x-k.

To find the remainder of f(x)/(x+3), we need to compute f(-3).

Plug x = -3 into the f(x) function to get...

f(x) = 4x^3 + 11x^2 - 75x + 18

f(-3) = 4(-3)^3 + 11(-3)^2 - 75(-3) + 18

f(-3) = 234

The remainder is 234, which is isn't zero, so (x+3) is not a factor of f(x).

Answer:

No; the remainder is 0 so (x + 3) is not a factor

Step-by-step explanation:

A motel clerk counts his $10 bills and $20 bills at the end of the day. He finds that he has a total of 150 bills, and that those 150 bills have a total value of $2,000. How many $10 bills and $20 bills does the motel clerk have?

Translate the problem into 2 equations.


Let the x be the number of $10 bills and y be the number of $20 bills.

Answers

Answer:

100 $10 bills and

50 $20 bills

Step-by-step explanation:

Given

[tex]x = \$10[/tex]

[tex]y = \$20[/tex]

[tex]Bills = 150[/tex]

[tex]Value = \$2000[/tex]

Required

Determine the number of $10 and $20 bills

[tex]Bills = 150[/tex].

This implies that:

[tex]x + y = 150[/tex]

[tex]Value = \$2000[/tex]

This implies that:

[tex]10x + 20y = 2000[/tex]

So, the equations are:

[tex]x + y = 150[/tex]

[tex]10x + 20y = 2000[/tex]

Make x the subject in the first equation

[tex]x = 150 -y[/tex]

Substitute 150 - y for x in the second

[tex]10(150 - y) + 20y= 2000[/tex]

[tex]1500 - 10y + 20y= 2000[/tex]

[tex]1500 + 10y = 2000[/tex]

[tex]10y = 2000-1500[/tex]

[tex]10y = 500[/tex]

[tex]y =50[/tex]

Recall that:

[tex]x = 150 -y[/tex]

[tex]x = 150 -50[/tex]

[tex]x = 100[/tex]

calcule a área calcule a área em metros do quadrados do paralograma
h=100cm
b=2m ​

Answers

100(2)(1/2)= 100cm squared

John bought a video game that was 20% off. THe game was originally $50. How much money DID HE SAVE by getting it on sale?

Answers

$10



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