6C + 47M=893.50
25C + 22M=527.86

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.

The correct answer is option A, the median is less than the mean.

The median is a measure of central tendency in statistics that represents the middle value of a data set when it is arranged in order. It is the value that separates the upper half of the data from the lower half.

This is because if the median is less than the mean, it indicates that there are some values in the data set that are larger than the mean, which would result in a skewed distribution to the right.

If the data set is skewed to the right, there will be more values on the left-hand side of the dot plot, and the median will be less than the mean. This is a common characteristic of skewed data distributions, and it is likely that the data on the amount of time Jane spent drying her hair each morning is not evenly distributed.

The correct answer is median is less than the mean.

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Answer:

a₇ = 16992.84

Step-by-step explanation:

Given that,

a₁ = 11, r = 3.4 and n = 7

The geometric sequence is given by :

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Put all the values,

[tex]a_7=11\times (3.4)^{7-1}\\\\=11\times (3.4)^6\\\\=16992.84[/tex]

So, the seventh term is equal to 16992.84.

Answer:

5.616 x 10^6

Step-by-step explanation:

Im sure that it's right.

Answer:

The mark up percentage of the book is 603.35 percent with respect to its initial price.

Step-by-step explanation:

Given that a book costs $ 1.49 and is sold in a retail store for $ 8.99, in order to determine what is the percentage in mark up, the following mathematical operations must be performed:

(8.99 / 1.49) x 100 = X

6.0335 x 100 = X

603.35 = X

Thus, the mark up percentage of the book is 603.35 percent with respect to its initial price.

9514 1404 393

Answer:

  (a)  216

Step-by-step explanation:

Put 5 where n is in the formula to find the 5th term. Do the arithmetic.

  a5 = (5 +1)^3 = 6^3 = 216

The 5th term is 216.

Answer:

4

Step-by-step explanation:

4x4x4=64

Answer:

4

Step-by-step explanation:

volume of a cube = L³

V=L³

L=

[tex] \sqrt[3]{v}[/tex]

L =

[tex] \sqrt[3]{64} [/tex]

L = 4

Answer:

30%

Step-by-step explanation:

jusr subtract

Answer: 13%

Step-by-step explanation:

To answer this question we can simply take her raised salary by her old salary...

(Put this into a calculator) 7300/56800=0.13

$7300 is 13% of her old salary

The probability of winning the jackpot is 1/32728332.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).

Total number of white balls = 43

Number of combinations of selecting 5 from 43 = 43C₅  

                                                                                = 43! / (5! × 38!)

                                                                                = 962598

Total number of gold balls = 34

Number of combinations of selecting 1 from 34 = 34C₁

                                                                               = 34

Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332

There is only 1 way for which the player wins the jackpot.

Probability of winning the jackpot = 1/32728332

Hence the required probability is 1/32728332.

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Answer:

A

Step-by-step explanation:

The base of a solid in the region enclosed by the graphs of y = eˣ, y = 0, x = 0, and x = 1. Each cross-section perpendicular to the x-axis is an equilateral triangle. We want to find the volume of the solid.

Please refer to the graph below. We are concerned with the red region.

In order to find the volume, we essentially sum up the area of the figure at each x value. So, we integrate from x = 0 to x = 1.

The area for an equilateral triangle is given by:

[tex]\displaystyle A=\frac{\sqrt{3}}{4}s^2[/tex]

Where s is the side length of the triangle.

Since the triangle lies perpendicular on the region, the side length of the triangle at x is simply y, which is eˣ.

Therefore, our volume is:

[tex]\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx[/tex]

Substitute:

[tex]\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx[/tex]

Evaluate the integral. Simplify:

[tex]\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx[/tex]

Integrate using u-substitution:

[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)[/tex]

Evaluate:

[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)[/tex]

Therefore, the volume of the solid is:

[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)[/tex]

Our answer is A.

Answer:

A.) sqrt(3)/8(e^2-1) is the answer.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Half base times height

First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.

Check the value of f(x) at these endpoints:

f (0) = 0

f (1) = 0

Take the derivative of f(x) :

[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]

[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]

For x ≠ 0, we can eliminate the √x term in the denominator:

[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]

f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :

√x (3 - 4x) = 0

√x = 0   or   3 - 4x = 0

The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.

Answer:

Her speed is of 2 miles per hour.

Step-by-step explanation:

Velocity:

The velocity is given by the following formula:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance and t is the time.

2/3 mile in 1/3 hour .

This means that [tex]d = \frac{2}{3}, t = \frac{1}{3}[/tex]

Which unit rate describes antoinettes speed in miles per hour?

This is v. So

[tex]v = \frac{d}{t} = \frac{\frac{2}{3}}{\frac{1}{3}} = \frac{2}{3}*\frac{3}{1} = 2[/tex]

Her speed is of 2 miles per hour.

Answer:

304

Step-by-step explanation:

I divided 38 by 1/8 and then checked if 304 times 1/8 equals 38

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{8}y = 38}[/tex]

[tex]\large\textsf{MULTIPLY 8 to BOTH SIDES}[/tex]

[tex]\mathsf{8 \times \dfrac{1}{8}y = 8\times 38}[/tex]

[tex]\mathsf{Cancel\ out: 8 \times \dfrac{1}{8}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\mathsf{Keep: \ 8\times38\ because\ that\ helps\ you\ solve\ for\ your\ answer}[/tex]

[tex]\mathsf{y = 8\times38}[/tex]

[tex]\mathsf{8\times38 = \bf 304}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 304}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

It is 276.32

The equation is 2 times pi times radius times height, plus 2 times pi times radius squared.

r=radius

h=height

π=pi (3.14)

The radius is half the diameter and is given. It is 4.

The height is also given. It is 7.

So, follow GEMDAS and plug it in.

(2 x 3.14 x 4 x 7) + (2 x 3.14 x 4^2)

Plug it into the calculator and it will give you 276.32.

Hope this helps!

Have a great day and please rate and put thanks if it helped.

Also, if you can, mark me!

Answer:

Step-by-step explanation:

C

Answer:

Jax should quit baseball hes bad at it

Step-by-step explanation:

Answer:

i think option are not accurate

Step-by-step explanation:

look at given picture for more information

Answer:

answer is 5.50

Step-by-step explanation:

multiply 2.75 times two because 3 by 5 is half of 9 by 15

Answer:

Let x be the number of 3- point questions and y be the number of 5-points questions.

Step-by-step explanation:

Answer:

2x^2 √13

Step-by-step explanation:

Answer:

4=5/6

5=12/12

6=9/10

7=1/2

8=1/5

Step-by-step explanation:

hiii

Answer:

here are some good fraction calculators that could help you!

Hope these help ya :))

Answer:

c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.

Step-by-step explanation:

According to the question, it is mentioned that there is 95% confidence interval and it is calculated (0.12,0.18)

So the correct interpretation is that they are 95% confident that the students who play basketballs the proportion should lies between 0.12 and 0.12

So, the option C is correct

The rest of the options are wrong

Answer:

be more pacific

Step-by-step explanation:

Answer:

Step-by-step explanation:

Apply the quadratic formula.  The coefficients are {5, -5, 1}.  The discriminant is b^2 - 4ac, which here works out to 25 - 4(5)(1), or 5.  This positive result tells us that this quadratic has two unequal, real roots.  These roots are:

     -(-5) ± √5       5 ± √5

x = --------------- = -------------

           10                  10

Step-by-step explanation:

can't factor so can use quadratic

5 +/- √(25-20)/10

(5+√5)/10

(5-√5)/10