Suppose 56% of recent college graduates plan on pursuing a graduate degree. Twelve recent college graduates are randomly selected.
a. What is the probability that no more than three of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)
b. What is the probability that exactly eight of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)
c. What is the probability that at least six but no more than ten of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)

Given:

The number [tex]\sqrt{63}[/tex] lies between two whole numbers.

To find:

The two consecutive whole numbers.

Solution:

The perfect squares of natural numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ... .

The number 63 lies between 49 and 64.

[tex]49<63<64[/tex]

Taking square root on each side, we get

[tex]\sqrt{49}<\sqrt{63}<\sqrt{64}[/tex]

[tex]7<\sqrt{63}<8[/tex]

Therefore, the number [tex]\sqrt{63}[/tex] lies between two whole numbers 7 and 8.

Answer:

why you just don't put the question up

Step-by-step explanation:

Answer:

76 sq. meters

Step-by-step explanation:

10 · 4 = 40m

2 · 6 = 12m

8 · 6 = 48/2 = 24m

40 + 12 + 24 = 76 sq. meters

Answer:

1

Step-by-step explanation:

The y intercept is when x =0

We need to use the second equation

-x+1  since -2 < 0 <3

0+1

The y intercept is 1

Answer:

2.5 hours is the time it will take.

Step-by-step explanation:

50t + 55t-30 = 235

105t = 265

T = 2.5 hours (rounded to one d.p)

Answer:

x²+5x-14

Step-by-step explanation:

For this equation, you want to use FOIL (multiply first terms, then outside terms, then inside terms, then last terms) to expand the brackets.

This gives x×x+x×-2+x×7+7×-2, which simplifies to x²-2x+7x-14, and further to x²+5x-14.

**This content involves expanding quadratics with FOIL, which you may wish to revise. I'm always happy to help!

Answer:

Option B. A = (5/6)^-⅛

Step-by-step explanation:

From the question given above, we obtained:

(5/6)ˣ = A¯⁸ˣ

We can obtain the value of A as follow:

(5/6)ˣ = A¯⁸ˣ

Cancel x from both side

5/6 = A¯⁸

Recall:

M¯ⁿ = 1/Mⁿ

A¯⁸ = 1/A⁸

Thus,

5/6 = 1/A⁸

Cross multiply

5 × A⁸ = 6

Divide both side by 5

A⁸ = 6/5

Take the 8th root of both sides

A = ⁸√(6/5)

Recall

ⁿ√M = M^1/n

Thus,

⁸√(6/5) = (6/5)^⅛

Therefore,

A = (6/5)^⅛

Recall:

(A/B)ⁿ = (B/A)¯ⁿ

(6/5)^⅛ = (5/6)^-⅛

Therefore,

A = (5/6)^-⅛

Answer:

[tex] - \frac{4}{5}[/tex]

Step-by-step explanation:

Line is passing through the points (-3, 1) & (2, - 3)

Therefore,

Slope of line

[tex] = \frac{ - 3 - 1}{2 - ( - 3)} \\ \\ = \frac{ - 4}{2 + 3} \\ \\ = - \frac{4}{5} [/tex]

Answer:

22/ b hope this helps

Step-by-step explanation:

Answer:

A. 14 Sq.cm

Step-by-step explanation:

The area of the circle is 56 cm Sq.

Half of it is 28 Sq.cm

If you combine the 2 triangles it will make an area of 7sq.cm

then the Curved shaded part is also 7sq.cm together of the shaded part will create a quarter of the whole figure

So

56/4 Sq.cm

= 14Sq.cm

Thank you!!

Mark me as brainliest :>>>

Answer:

[tex]\text{B) }56\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of a triangle with height [tex]h[/tex] and base [tex]b[/tex] is given by [tex]A=\frac{1}{2}bh[/tex]. By definition, the base and the height must intersect at a 90 degree angle. Therefore, the diagram gives a base of 14 cm and a height of 8 cm. Substituting these values, we get:

[tex]A=\frac{1}{2}\cdot 8\cdot 14=\boxed{\text{B) }56\:\mathrm{cm^2}}[/tex]

Answer:

(8x + 1)° + ( 4x+11)° = 180° (linear pair )

8x +1 + 4x +11 = 180

8x + 4x + 1 + 11 = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x= 168/12

x = 14

Answer:

1. [tex]2 \frac{2}{7} [/tex]

2. [tex]2 \frac{1}{3} [/tex]

3. [tex] \frac{5}{12} [/tex]

4. [tex]8 \frac{2}{3} [/tex]

5. [tex] \frac{2}{3} [/tex]

Step-by-step explanation:

[tex] \frac{8}{3} \div \frac{7}{6} [/tex]

[tex] \frac{8}{3} \times \frac{6}{7} [/tex]

[tex]8( \frac{2}{7} )[/tex]

[tex] \frac{8 \times 2}{7} [/tex]

[tex] \frac{16}{7} [/tex]

[tex]2 \frac{2}{7} [/tex]

[tex] \frac{20}{3} \div \frac{20}{7} [/tex]

[tex] \frac{20}{3} \times \frac{7}{20} [/tex]

[tex] \frac{1}{3} \times 7[/tex]

[tex] \frac{7}{3} [/tex]

[tex]2 \frac{1}{3} [/tex]

[tex] \frac{25}{6} \div \frac{10}{1} [/tex]

[tex] \frac{25}{6} \times \frac{1}{10} [/tex]

[tex] \frac{5}{6} \times \frac{1}{2} [/tex]

[tex] \frac{5}{6 \times 2} [/tex]

[tex] \frac{5}{12} [/tex]

[tex] \frac{13}{2} \div \frac{3}{4} [/tex]

[tex] \frac{13}{2} \times \frac{4}{3} [/tex]

[tex]13( \frac{2}{3} )[/tex]

[tex] \frac{13 \times 2}{3} [/tex]

[tex] \frac{26}{3} [/tex]

[tex]8 \frac{2}{3} [/tex]

[tex] \frac{15}{4} \div \frac{45}{8} [/tex]

[tex] \frac{15}{4} \times \frac{8}{45} [/tex]

[tex] \frac{1}{4} \times \frac{8}{3} [/tex]

[tex] \frac{2}{3} [/tex]

9514 1404 393

Answer:

  90° CCW

Step-by-step explanation:

The transformation from B to B' is ...

  B(-4, 1) ⇒ B'(-1, -4)

  (x, y) ⇒ (-y, x) . . . . . matches the transformation for 90° CCW

Answer:

90 degrees

Step-by-step explanation:

Answer: 5% if it’s bubble sheet then 0.05

Step-by-step explanation:

Probability of flipping heads=50%

Probability of flipping practically = 45/100

=45

So 50%-45% = 5%

Answer:

I think this is right hope you understand

Answer:

-3/7

Step-by-step explanation:

To find the slope use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1-4)/(4 - -3)

   = (1-4)/(4+3)

   = -3/7

Answer:

slope = - 3/7

step-by-step explanation:

we have two points which are (-3,4) and (4,1).

To find the slope of line , use the slope formula which is

m = ( y² - y¹ ) / ( x² - x¹)

Where,

substitute the values

m = ( 1 - 4 ) / ( 4 - ( - 3 ))

m = -3 / 7

Hence, slope is -3/7.

Step-by-step explanation:

For this question, what we have to do is to rewrite and form some of these statements with their contrapositives

here is the reordering;

1. if Object is at the left of the tree, then it is blue

2. If the object is blue then it smells good.

3. If thus thing smells good then it tastes good.

4. If it tastes good then it is expensive

∴ every object to the left of the tree is expensive

9514 1404 393

Answer:

  B.

Step-by-step explanation:

Use t=0 and t=2 and locate the graph with those two points on it. (We choose these because the horizontal grid is 2 years for each grid line.)

For t=0, C(0) = 50000(0.9^0) -2000 = 480000

For t=2, C(2) = 50000(0.9^2) -2000 = 40500 -2000 = 38500

The only graph that has y-intercept of 48000 and crosses (2, 38500) is the one shown in choice B.

Answer:

1.5 because it passed it.

Answer:

(-1.5, 0.5)

Step-by-step explanation:

x = -1.5

y = 0.5

(-1.5, 0.5)

Answer:

arc AB = 142

Step-by-step explanation:

The angle of AB is 180 -38 = 142

The arc is the same measure since the  angle is a central angle

arc AB = 142

Step-by-step explanation:

You can prove it by pythegoras use unit and you will get

Ef=gh

And FG=EH

Answer:

[tex]g^-^1(x)=-8[/tex]

[tex]h^-^1(x)=\frac{x-4}{3}[/tex]

[tex](h^-^1 \ o\ h)(-3)=-3[/tex]

Step-by-step explanation:

When given the following functions,

[tex]g=[(-2,-7),(4,6),(6,-8),(7,4)][/tex]

[tex]h(x)=3x+4[/tex]

One is asked to find the following,

1. Question 1

[tex]g^-^1(4)[/tex]

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

[tex]g^-^1(4)[/tex]

[tex]g(4)=6\\g(6)=-8\\g^-^1(4)=-8[/tex]

2. Question 2

[tex]h^-^1(x)[/tex]

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

[tex]h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)[/tex]

[tex]h^-^1(x)=\frac{x-4}{3}[/tex]

3. Question 3

[tex](h^-^1 \ o\ h)(-3)[/tex]

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ([tex]h^-^1[/tex]) and simplify. Then substitute (-3) into the result.

[tex]h^-^1\ o\ h[/tex]

[tex]\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x[/tex]

Now substitute (-3) in place of (x),

[tex]=-3[/tex]

The answer is A

One revolution is equal to the circumference of the tire:

C=2pi r=2(1)(frac{22}{7})=\frac{44}{7}

The car travels at 4,400 ft per minute. To calculate the number of revolutions, divide the speed by the circumference:

4,400div frac{44}{7}=4,400times frac{7}{44}=700

700 revolutions.

The answer is B

the method use to solved this is called foil

Answer:

The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

90% confidence interval between 2.8 and 3.4 tons. This means that the environmentalist can be 90% sure that the mean weight of all cars is in this interval, that is:

The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.

Answer:

angle M = 60

angle Q = 70

Step-by-step explanation:

M 180/3 = 60

Q 180-40 = 140/2 = 70