1. You have applied for two scholarships: the TRIO Opportunity Grant (TOG) and the Vermont Opportunity in Education (VEOP) scholarship. From data collected over the years, the probability that you receive the VEOP scholarship is 0.25, the probability that you receive both scholarships is 0.15, and the probability that you get at least one of these scholarships is 0.37. a. What is the probability that you receive the TOG

Answers

Answer 1

Answer:

0.27 = 27% probability that you receive the TOG scolarship.

Step-by-step explanation:

I am going to solve this question treating these probabilities as Venn probabilities.

I am going to say that:

Event A: TOG scolarship

Event B: VEOP scolarship

The probability that you receive the VEOP scholarship is 0.25

This means that [tex]P(B) = 0.25[/tex]

Probability that you receive both scholarships is 0.15

This means that [tex]P(A \cap B) = 0.15[/tex]

The probability that you get at least one of these scholarships is 0.37.

This means that [tex]P(A \cup B) = 0.37[/tex]

What is the probability that you receive the TOG?

This is P(A). These measures are related by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A) = P(A \cup B) + P(A \cap B) - P(B)[/tex]

Replacing with the values in this question

[tex]P(A) = 0.15 + 0.37 - 0.25 = 0.27[/tex]

0.27 = 27% probability that you receive the TOG scolarship.


Related Questions

Pleaseee helppp me on this

Answers

Answer:

(-7,-13) (-6,-12) (3,-3) (5,-1) (7,1)

Step-by-step explanation:

plug in each x value into the equation

take -7 for example

when -7 is x, we plug it into the equation

[tex]y=x-6[/tex]

[tex]y = (-7) -6[/tex]

[tex]y=-13[/tex]

you would do this same process for the rest of the x values.

X Х C Department of Education Exit 13-2: Practice Buddy: Independent Practice; Problem Solving 13.2.IP-22 Diogo and his 4 friends want to share the cost of a meal equally. They order 2 large pizzas and 5 small drinks. If they leave a tip of $6.80, how much does each person pay?​

Answers

Answer:they pay by yeezys

Step-by-step explanation:

Hakima and Joshua both opened savings accounts. Both started with a balance of zero dollars. For every $3 that Hakima saves in her account, Joshua saves $5. If they have saved a total of $336, how much did Hakima save?

Answers

I’m pretty sure that would be $112

85% of x is 51. Write an equation that represents the situation.

Answers

Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

ugriuhgi5ughoiruhr PLEASE HELP 10 POINTS!

Answers

Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.32 psi and 0.21 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.

Answers

Answer:

H0: u ≥ 9.5

Ha:  u < 9.5

Step-by-step explanation:

The null hypothesis and the alternate hypothesis are reverse of each other.

The claim is either set as the null or alternate hypothesis

The null hypothesis  is : H0: u ≥ 9.5  the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.

The alternate hypothesis is: Ha:  u < 9.5 the mean breaking strength of a ceramic insulator is less than 9.5 which is  not considered equivalent to the standard.

Write an equation of a line (SLOPE INTERCEPT FORM) that goes through points A(9, 2) and B(- 1, 4) please help!

Answers

Answer:

the answer to the problem is -1/4

RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y

Answers

Answer:

y = 4

Step-by-step explanation:

Given that,

RS= 4y+2, ST = 3y+8, and RT = 38

We need to find the value of y.

As,

RT = RS+ST

Put all the values,

38 = 4y+2+3y+8

38-2-8 = 4y+3y

28 = 7y

y = 4

So, the value of y is equal to 4.

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=78°, and GE = 33 feet. Find the length of FG to the nearest tenth of a foot.

Answers

Answer:

I just did this on Delta Math lol:

Answer: 155.3 ft

Step-by-step explanation:

Given: ()=5−2. Find: (+2)

Answers

Answer: The value of [tex]g(a+2)=5a-8[/tex].

Step-by-step explanation:

We are given that,

[tex]g(x)=5x-2[/tex]                                            ...(i)

To find: [tex]g(a+2)[/tex]

Substitute [tex]x=a+2[/tex] in (i), we get

[tex]g(a+2)=5(a+2)-2\\\\g(a+2)=5a+10-2\\\\g(a+2)=5a+8[/tex]

Therefore, the value of [tex]g(a+2)=5a-8[/tex].

A. 16
B. 14
C. 18
D. 24

Answers

I’m thinking the answer is 18

1 pts
So
Sales
SE
According to
the data given, sza
what is the
sales amount
when the
temperature is
18 degrees C?
Temperature

Answers

Shfhdjdjsxjzkzndmdkxmdns

Write a quadratic function f whose zeros are 6 and -5 .

Answers

Answer:

so ez

Step-by-step explanation:

HI IM INDIAN AND STUDING IN 10TH GRADE U?

How much soup, to the nearest tenth of a cubic unit, can fit in a cylindrical can that is 8 inches tall and has a diameter of 6 inches?

Answers

Answer:

Step-by-step explanation:

5. The coordinates of the points A and B are (0, 6)
and (8, 0) respectively.

() Find the equation of the line passing through

A and B

Given that the line y = x+1 cuts the line AB at
the point M, find

(ii) the coordinates of M,

(in) the equation of the line which passes

through Mand is parallel to the -axis,

(iv) the equation of the line which passes through

Mand is parallel to the y-axis.​

Answers

i need to answer two questions to ask again sorry

1. Simplify the expression below.
2(x + 2) + 3(-x-7) -5 ( 2x - 4)

Answers

Answer: -11x+15

Step-by-step explanation: distributed property: 2x+2-3x-7-10x+20, -11x+15

What are a and b when you write √-16 in the form a+bi, when a and b are real number?
A) a=0, b=-4
B) a=0, b=4
C) a=-4, b=0
D) a=4, b=0

Answers

On comparing, we get {a} = 0 and {b} = 4.

What is the general form of a complex number?

The general form of a complex number is -

z = a + ib

Given is the number as -

√-16

We can write the number √-16 in the form of (a + ib) as follows. We have -

√-16

√(- 1 x 16)

√(i² x 16)

√i² x √16

i√16

0 + i√16

0 + 4i

Therefore, on comparing, we get {a} = 0 and {b} = 4.

To solve more questions on complex number, visit the link -

brainly.com/question/30098550

#SPJ1

There are 2.54 centimeters in 1 inch there are 100 centimeters in 1 meter to the nearest inch how many inches are in 9 meters

Answers

Answer:

354.330709 (depending on instructions you may need to round)

rounded to tenths - 354.3

rounded to hundredths - 354.33

Step-by-step explanation:

9 x 100 = 900

900/2.54 = 354.330709

Solve the system using a matrix,
3x – 2y = 2
6x - 5y = -1

Answers

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

The solution to the matrix equation ...

  [tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]

is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.

  [tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]

Pls help,
Type the answers and leave each part as abcd so I don’t type it in wrong
I WILL MARK BRANLIST IF U GIVE ME AN ACTAUL ANSWER

Answers

Answer:

a

If they are vertical angles, they are equal.

5x - 24 = 3x + 24                      Add 24 to both sides

5x -24 +24 = 3x + 24 + 24       Combine

5x =   3x + 48                           Subtract 3x

5x - 3x = 3x-3x + 48                Combine

2x = 48                                    Divide by 2                                

x = 24

<A =5*24 - 24

<A = 96

Step-by-step explanation:

No
© A
A cube
side 4cm has the same
as a cone with diameter 7cm. calculate
correct to the nearest cm,
the
گج
the height
heig
cone,​

Answers

The answer is A. to your question

What is the volume if
the base is 48 square inches and height is 8 inches

Answers

Answer:

Assuming you mean a rectangular prism, cube, or triangular prism,the volume would be 384.

Step-by-step explanation:

Well volume for those two shapes could be b*h

SO base times height is always gonna give you volume for most shapes

What is the ratio in simplest form between the length of a side in ABCD and the length of its corresponding side in WXYZ?

a.2\3
b.1\2
c.3\4
d.6\5

Answers

Answer:

The Answer would be C) 3/4

Step-by-step explanation:

If you subtract a quarter of the number presented on right left hand on the picture you get the numbers presented on the left hand side of the picture shown. There fore the ratio is 3/4 or three quarters of the already existing number.

x=30 y=6
X x Y - 4 + 15 /2=?

Also Anyone on here got Queston cove?
Lol

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

= 30 × 6 - 4 + 15 / 2

= (30 × 6) - (4 + 15) / 2

= (180 - 19) / 2

= 161 / 2

= 80.5

Hope it helps!

mark me brainliest pls.....

Follow me! :)

Ur answer is 80.5 :))))

what is a square unit​

Answers

Answer:

A square unit is a small area of a square used to find a total.

Step-by-step explanation:

7 over 6 divided by 4

Answers

Answer:

0.29

Step-by-step explanation:

I used a calculator

Three more than four times the difference of x and 2 is 36

Answers

Answer:

3+4 (x - 2) =36 x= 10.25

Step-by-step explanation:

Solve for f(-7)

f(x)=5-x

f(-7)= ?

Answers

Answer:

7 f + 5 ??

Step-by-step explanation:

Can someone help me pls

Answers

Answer:

Oops, didn't mean to answer because I already answered this one.

Step-by-step explanation:

in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours. find the speed of the kayak in Stillwater and the speed of the current​

Answers

9514 1404 393

Answer:

kayak: 12 mphcurrent: 2 mph

Step-by-step explanation:

Bunny's rate downstream is ...

  (70 mi)/(5 h) = 14 mi/h = k + c

Bunny's rate upstream is ...

  (70 mi)/(7 h) = 10 mi/h = k -c

The kayak speed is the average of these:

  (14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2

  (24 mi/h)/2 = 2k/2

  12 mi/h = k

Then the current speed is ...

  c = k -10 = 12 -10 = 2 . . . . mi/h

The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.

_____

Additional comment

World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.

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