10) A survey of business students who had taken the Graduate Management Admission Test (GMAT) indicated that students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400. Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400. It has been determined that 70% of the business students spent at least five hours reviewing for the test. a. Find the probability of scoring above 400. b. Find the probability that given a student scored above 400, he/she spent at least five hours reviewing for the test.

Step-by-step explanation:

The HCF of 28 and 40 is 4, and the LCM is 280.

Step-by-step explanation:

this is the answer..........

Answer:

$406

Step-by-step explanation:

The formula for simple interest is I=prtI=prt where II is the amount of interest earned, pp is the initial deposit, rr is the annual interest rate, and tt is the number of years.

It is given that he deposits p=$400p=$400, the bank pays r=1.5%= 0.015r=1.5%=0.015 in annual interest, and t=1t=1 year. The amount of interest he will earn is then I=prt=400(0.015)(1)=$6I=prt=400(0.015)(1)=$6.

His total balance after one year will then be p+i=$400+$6=$406p+i=$400+$6=  

$406

​  

.

Answer:

option D

Step-by-step explanation:

In the right angled triangle , one vertex angle is 60° . The other vertex angle will be = 180 - (90+60) = 30°

Hypotenuse = m ; Perpendicular = n ; Base = 4

Side opposite to 60° = Base

Side adjacent to 60° = Perpendicular

Side opposite to 30° = Perpendicular

Side adjacent to 30° = Base

So,

[tex] \sin(60) = \frac{opposite}{hypotenuse} = \frac{4}{m} [/tex]

[tex] = > \frac{ \sqrt{3} }{2} = \frac{4}{m} [/tex]

[tex] = > m = \frac{4 \times 2}{ \sqrt{3} } = \frac{8}{ \sqrt{3} } [/tex]

Rationalising the value of m gives [tex] \frac{8 \sqrt{3} }{3} [/tex]

Also,

[tex] \tan(30) = \frac{opposite}{adjacent} = \frac{n}{4} [/tex]

[tex] = > \frac{1}{ \sqrt{3} } = \frac{n}{4} [/tex]

[tex] = > n = \frac{4}{ \sqrt{3} } [/tex]

Rationalising the value of n gives [tex] \frac{4 \sqrt{3} }{3} [/tex]

Answer:

The answer is B

Step-by-step explanation:

Lol I just had this same question on edge 2021 (◕‿◕✿)

Answer:

It Is B, x-6.

Step-by-step explanation:

I Just Did The Unit Test Review (ﾉ◕ヮ◕)ﾉ*.✧

Answer:

x = -2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

a fraction of it and the regular answer it is 33.

Answer:

34

Step-by-step explanation:

19.43 will round to 19

11.5 will round to 12 and

3.08 will round to 3

I hope this helps

Answer:If you use quadratic formula the answer is (rounded) 2.88s

Step-by-step explanation:

Answer:

2.882491 seconds

Step-by-step explanation:

H=156-8t-16t²

-16t²-8t+156=0

16t²+8t-156=0

4t²+2t-39=0

t=2.882491 seconds ................

Answer:

4[tex]\sqrt{2}[/tex]  +2

Step-by-step explanation:

[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex]

=[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex] ×[tex]\frac{\sqrt{2}+1}{\sqrt{2}+1}[/tex]

=[tex]\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}[/tex]

=6[tex]\sqrt{2}[/tex] + 6 -[tex]\sqrt{8}\sqrt{2}[/tex] - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 6 - 4 - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 2 - [tex]\sqrt{8}[/tex]

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

=4[tex]\sqrt{2}[/tex]  +2

for [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex] ,

[tex]\sqrt{8}[/tex] = [tex]\sqrt{2*2*2}[/tex]

     = ([tex]\sqrt{2}[/tex])^2 × [tex]\sqrt{2}[/tex]

     =2 ×[tex]\sqrt{2}[/tex]

The number of collections of 7 books can you​ take is 1685.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Total books= 15

n = 15 (the number of possible books) and r = 7 (the number of books to be taken).

Now,

To find the number of different collections of 7 books, we can use the formula for combinations. Combinations are ways of selecting items from a collection, such that the order of selection does not matter.

The formula for combinations is:

nCr = n! / (r! (n - r)!)

where n is the number of items in the collection, r is the number of items to be selected, and ! is the factorial operator.

We can plug these values into the formula:

15C7 = 15! / (7! (15 - 7)!)

= 15! / (7! 8!)

= (15 x 14 x 13 x 12 x 11 x 10 x 9 x 8!) / (7! 8!)

= (15 x 14 x 13 x 12 x 11 x 10 x 9) / (7 x 6 x 5 x 4 x 3 x 2 x 1)

= (6435 x 1320) / (5040)

= 8491770 / 5040

= 1685.25

Since we cannot have a fraction of a collection, we round down to get the final answer:

15C7 = 1685

Therefor, by algebra the answer will be 1685.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

The graph is missing, so i have attached it.

Answer:

From 0 hours to 2 hours.

Step-by-step explanation:

From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.

Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.

After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.

Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.

Answer:

last option

[tex]6 \leqslant x < \infty [/tex]

Given :

To find :

Solution :

As it is given that the length of rectangle is 6 m more than the breadth.

Thus, let us consider the Breadth as ''x''.

Then the Length will be ''x+6''.

We know that,

Perimeter of rectangle = 2(l + b)

According to Question,

➠Perimeter of rectangle = 2(x+6+x)

➠60 = 2(x+6+x)

➠60 = 2(x+x+6)

➠60 = 2(2x + 6)

➠60 = 4x + 12

➠60 - 12 = 4x

➠48 = 4x

➠48/4 = x

➠12 = x

______________________

∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.

And the Length of the rectangle will be,

↠x + 6

↠12 + 6

↠18 m

Hence,

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

the domain is that x is a set of real numbers.

the range is y ≤ -3

Step-by-step explanation:

y = -|x + 3|

y is either positive or equal to zero.

Now, x is all real numbers because any value of x used will yield a valid value of y.

Thus, we can say that the domain is that x is a set of real numbers.

Now, for the range:

The minus sign in front of the absolute value indicates that the function has a maximum value.

Thus, the range is y ≤ -3

Answer:

P(X = 7) = 0.11712

Step-by-step explanation:

From the information given:

Average no. of claims received per week λ = 9

The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:

[tex]P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}[/tex]

[tex]P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}[/tex]

[tex]P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}[/tex]

[tex]P(X=7) = \dfrac{590.2652672}{5040}[/tex]

P(X = 7) = 0.11712

Answer:

5

Step-by-step explanation:

3x-2x=7-2

x=5

Answer:

105 is the part.

Step-by-step explanation:

175 is the whole

60% is the percent

x is the part

175 * 0.60 = 105

Answer:

-21°C

Step-by-step explanation:

Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.

(sorry if this is confusing but I hope this helped)

Answer: Capitalism

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

For your first question,

Total percentage of people cheering for visiting team = 45%

Total percentage of people cheering for home team = 55%

Total number of people cheering = 1200

Therefore, the number of people cheering for visiting team = 45% of 1200

                                                                                                   = [tex]\frac{45}{100}[/tex] × 1200

                                                                                                   = 45 × 12

                                                                                                    = 540 people

For your second question,

Total number of questions = 75

Total percentage of the number of questions he completed = 36%

Percentage of the amount of questions left = 100 - 36 = 64%

Therefore, the number of questions left to complete = 64% of 75

                                                                                 = [tex]\frac{64}{100}[/tex] × 75

                                                                                 = [tex]\frac{64}{20}[/tex]  × 15

                                                                                 = [tex]\frac{64}{4}[/tex] × 3

                                                                                 = 16 × 3

                                                                                 = 48 questions are left

Answer:

[tex]B.\ 3[/tex]

Step-by-step explanation:

Given

[tex]x^3 + \frac{1}{3}x^3 +6x + 5[/tex]

Required

Power of term with coefficient of 1

First, we need to identify the variable in the given polynomial

The variable is x

Each term has the following format:

[tex]mx^n[/tex]  where [tex]n \ge 0[/tex] and m is the coefficient

In this case, we are to look for n where m = 1

Looking at each term of the polynomial, we have the following match:

[tex]mx^n = x^3[/tex]

Substitute 1 for m

[tex]1 * x^n = x^3[/tex]

[tex]x^n = x^3[/tex]

By comparison:

[tex]n = 3[/tex]

Hence, the solution to this question is (B)

Answer:

n = 6

Step-by-step explanation:

[tex](2.4 \times {10}^{3} ) \times (3 \times {10}^{n} ) = 7.2 \times {10}^{9} \\ \\ (2.4 \times 3 \times {10}^{3 + n} ) = 7.2 \times {10}^{9} \\ \\ 7.2 \times {10}^{3 + n} = 7.2 \times {10}^{9} \\ \\ {10}^{3 + n} = {10}^{9} \\ \\ 3 + n = 9 \\ \\ n = 9 - 3 \\ \\ n = 6[/tex]

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

Answer:

x=2

subtract 7/8 from both of the sides

x= 23/8-7/8

Simplify 23/8 - 7/8 to 2

x=2

Answer: x + 16y

Step-by-step explanation:

multiply 4 to x+ 2y

4x + 8y - 3x + 8y (open the bracket)

x + 16y

Answer:

x+16y

Step-by-step explanation:

4(x+2y)-(3x-8y)

we open the brackets and the sign of the second bracket changes

4x+8y-3x+8y

we group x's and y's

x+16y

Answer:

8% sales tax

Step-by-step explanation:

$330 x .15 = $49.50

$330 - $49.50 = $280.50

$302.94 - $280.50 = $22.44

$22.44/$280.50 = .08 x 100 x 8%

Answer:

200 CDs

Step-by-step explanation:

1000 g = 1 kg

2 kg = 2000 g

2000 / 10 = 200 CDs :D