loo at the picture please!

Answer:

Look at the image

Step-by-step explanation:

You can solve the problem like in the image

Answer:

50/50.

Step-by-step explanation:

I will say that it is 50/50 because it is a coin. There are 2 sides. Which is a 50/50 chance of landing on either side. And, it really doesn't matter if the heads or tails are more or less. The probability is still the same if I am not mistaken.

the counting number just before C5F16 is 3,072.

The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

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Answer:

13

Explanation-

It is 13 because it is the only one out of all of them that makes sense.

For the ²⁰ P ₉ the required number of choices are 6.0949324 x 10¹⁰.

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

In the given question,

In ²⁰ P ₉, the number of choices are to be found.

To find the choices,

Expand ²⁰ P ₉ by using a formula,

\(\rm ^nP_r = n!/(n-r)!\)

The number of choices

= 20!/ (20 -9)!

= 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11!/ 11!

= 6.0949324 x 10¹⁰

The required number of choices are 6.0949324 x 10¹⁰.

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The complete question is given below.

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Answer:

None of the above ? （the equation should be y=12）

Step-by-step explanation:

the line parallel to line y=40-1=39 means it's a horizontal line. Which means it's y coordinate is also a constant. Since it pass through （2,12）,it means the constant of y is 12.

Answer:

The highest and the lowest numbers affect a graph

Answer:

Mathematical model is:

(895/n) + 25 ≤ 60

Number of students must not be less than 26

Step-by-step explanation:

We are told that;

- the rental of a bus for the day will cost $895.

- Lunch and festival activities will cost $25 per student

If the number of students are n, then cost per student for bus rent is; $895/n

Thus, total amount per n number of students to participate is;

895/n + 25

Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.

Thus in form of inequality, we have;

(895/n) + 25 ≤ 60

Subtract 25 from both sides to get;

(895/n) ≤ 60 - 25

(895/n) ≤ 35

Multiply both sides by n and then divide both sides by 35;

895 ≤ 35n

26 ≤ n

Answer:

Step-by-step explanation:

The slope of a line is the measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.

The slope of any line can be calculated using any two distinct points lying on the line. The slope of a line formula calculates the ratio of the "vertical change" to the "horizontal change" between two distinct points on a line. In this article, we will understand the method to find the slope and its applications.

That is what Slope is.

Answer:

Step-by-step explanation:

Slope :( 1,1)

You start on the y-axis point which is (0,1) as you can see it is going up so I used the “up left” strategy. You go up 1 to the left 1 since the line intersects at point (1,2)

Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

Therefore , the solution of the given problem of amount comes out to be the agent received $3,069 in commission.

aggregate attempting to determine the time, overall cost, or amount. The amount in front of us or on our minds is incredibly hectic. the outcome, its significance, or its applicability. The sum consists of principal, tax, and third bookkeeping. Some of the word variations are amounts, amounts, and amounting. a versatile term Its amount refers to the amount that something weighs, how often you consume it.

Here,

The real estate company has a 4.5% commission rate,

which means they get paid 4.5% of the house's sale price:

=> 4.5% of $341,000 divided by the agency's commission results in

=> $15,345 ($0.045 x $341,000).

Hence, the residence brought in $15,345 for the real estate company.

We must determine the commission received by the real estate agency in order to determine how much the agent earned. 20% of the commission paid to the real estate agency goes towards the agent's commission rate.

Since we already know that the real estate firm was paid a commission of $15,345; the agent's commission is:

=> 20% of $15,345 divided by the agent's commission

=>  0.2 times $15,345 =  ($3,069).

As a result, the agent received $3,069 in commission.

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Answer:

18, 38, 43, 47, 55, 88, 90

Hope that has helped

The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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The slope of the line from the pair of given points would be \(m = 5\).

Hope this helps!

Answer: $72

Step-by-step explanation:

x = money M had before he bought the hat

0.25x = 18

x = 18/.25 = 72

The number of words per second is 2/3 words per seconds.

An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

Since there are 30 words in 45 seconds, the words per second will be:

= Number of words / Number of seconds

= 30/45

= 2/3

In conclusion, the words per second is 2/3.

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Answer:

Test statistic t = -1.8246

P-value = 0.0737

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean GPA of night students is different from the mean GPA of day students.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean GPA of night students is different from the mean GPA of day students.

Then, the null and alternative hypothesis are:

\(H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0\)

The significance level is 0.05.

The sample 1, of size n1=30 has a mean of 2.35 and a standard deviation of 0.46.

The sample 2, of size n2=25 has a mean of 2.58 and a standard deviation of 0.47.

The difference between sample means is Md=-0.23.

\(M_d=M_1-M_2=2.35-2.58=-0.23\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{0.46^2}{30}+\dfrac{0.47^2}{25}}\\\\\\s_{M_d}=\sqrt{0.007+0.009}=\sqrt{0.016}=0.1261\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-0.23-0}{0.1261}=\dfrac{-0.23}{0.1261}=-1.8246\)

The degrees of freedom for this test are:

\(df=n_1+n_2-2=30+25-2=53\)

This test is a two-tailed test, with 53 degrees of freedom and t=-1.8246, so the P-value for this test is calculated as (using a t-table):

\(\text{P-value}=2\cdot P(t<-1.8246)=0.0737\)

As the P-value (0.0737) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean GPA of night students is different from the mean GPA of day students.

Answer: Total number person using bus = 16 + 2 = 18

Hence, Total number person using bus to get to town is 18  .

Step-by-step explanation:

Given :

Total number of people = 80

Total number of male = 24

Number of male who use bicycle = 11

Number of female who use bus = 16

Number of people use car = 28

Number of female who use car = 17 out of 28

To find :

The number of people use bus to get to town

Solution :

Number of female who use bus = 16          ..........1

Number of female who use car = 17

Number of female use bicycle =

Number of male uses bicycle = 11

As Total number of male = 24

So, rest of male use either bus or car = 24 - 11 = 13

Since

number of people use car = 28

And number of female use car = 17

So, Number of male use car = 28 - 17 = 11

Again

As 11 male using car, so from 13 male using either car or bus

Number of male using bus = 13 - 11 = 2

Answer: Hello: ) ✨Total number person using bus = 16 + 2 = 18

Hence, Total number person using bus to get to town is 18  .

Step-by-step explanation:

Given :

Total number of people = 80

Total number of male = 24

Number of male who use bicycle = 11

Number of female who use bus = 16

Number of people use car = 28

Number of female who use car = 17 out of 28

To find :

The number of people use bus to get to town

Solution :

Number of female who use bus = 16          ..........1

Number of female who use car = 17

Number of female use bicycle =

Number of male uses bicycle = 11

As Total number of male = 24

So, rest of male use either bus or car = 24 - 11 = 13

Since

number of people use car = 28

And number of female use car = 1

So, Number of male use car = 28 - 17 = 1

Again

As 11 male using car, so from 13 male using either car or bus

Number of male using bus = 13 - 11 = 2

Answer:

\(y=-\frac{3}{2}\)

Step-by-step explanation:

\(\text{y = kx where k is a constant.}\)

\(6 = -4k\\k = \frac{6}{-4} =-\frac{3}{2}\)

Therefore, the probability that a woman will give birth to two boys is only one in three, whereas the probability that a man will do so is one in two.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here,

The woman may have at least one boy in the three following ways: 1) older boy, younger girl; 2) older girl younger boy; 3) older boy, younger boy.

But the man's children may be distributed in only two ways: 1) older boy, younger girl; or 2) older boy, younger boy.

So the chances are only 1 out of 3 that the woman has two boys, but the chances are 1 out of 2 that the man has two boys.

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Answer:

(a) 0.0178 <= p <= 0.0622

(b) p <= 0.0586

Step-by-step explanation:

We have that the sample proportion is:

p = 12/300 = 0.04

(to)

For 95% confidence interval alpha = 0.05, so critical value of z will be 1.96

Therefore, we have that the interval would be:

p + - z * (p * (1-p) / n) ^ (1/2)

replacing we have:

0.04 + - 1.96 * (0.04 * (1-0.04) / 300) ^ (1/2)

0.04 + - 0.022

Therefore the interval would be:

0.04 - 0.022 <= p <= 0.04 + 0.022

0.0178 <= p <= 0.0622

(b)

For upper bounf z-critical value for 95% confidence interval is 1.645, so upper bound is:

p + z * (p * (1-p) / n) ^ (1/2)

replacing:

0.04 + 1.645 * (0.04 * (1-0.04) / 300) ^ (1/2)

0.04 + 0.0186 = 0.0586

p <= 0.0586

Answer:

Answer: I don't know ...

The line's equation in the form of a point-slope is y + 7 = 7 (x + 1).

A mathematical description of the steepness as well as the direction of a line is its slope, commonly referred to as its gradient. Despite the lack of obvious justification, the letter "m" is frequently used to represent slope. Though it is written as "y = mx + b" and "y = mx + c," respectively.

Slope:

slope = y2 - y1 / x2 - x1.

Slope halt the form:

y = mx + b.

Slope develop at a point.:

y - y1 = m ( x - x1) ( x - x1)

Common Form. Ax + By = C.

x - axis. the graph's horizontal axis.

y - axis. the graph's vertical axis.

intercept with X. the location where a line crosses the x axis at an angle.

intercepting at Y.

An equation for a line is denoted by the formula: y - y0 = m(x-x0), where m is the slope of the line and (x0, y0) is any point on the line.

Using the coordinates (-1, -7) and (1, 7), calculate the slope:

m = 7 + 7 / 1 + 1m = 7.

Substitute the slope and (-1, -7) in the formula to obtain:

y - (-7) = 7 (x-(-1))=> y + 7 = 7 (x+ 1)

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Answer:

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.

Step-by-step explanation:

Given that the shape of the shed is a rectangle, the expression for the area is:

\(A = w \cdot l\)

Where \(w\) and \(l\) are the width and length of the shed, measured in feet. In addition, the statement shows that \(l = 2\cdot w - 3\,ft\). Then, the equation of area is expanded by replacing length:

\(A = w\cdot (2\cdot w - 3)\)

\(A = 2\cdot w^{2} - 3\cdot w\)

If \(A = 44\,ft^{2}\), then, a second-order polynomial is formed:

\(2\cdot w^{2}-3\cdot w - 44 = 0\)

The roots of this equation are found via General Equation for Second-Order Polynomials:

\(w_{1} = \frac{11}{2}\,ft\) and \(w_{2} = -4\,ft\)

Only the first roots is a physically reasonable solution. Then, the length of the shed is:

\(l = 2\cdot \left(\frac{11}{2}\,ft \right)-3\,ft\)

\(l = 8\,ft\)

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.

Now, it look like there is some information missing in the answer. The whole problem should look like this:

Alicia Keys's new album As I Am is climbing the charts, and the manager of Tip Top Tunes expects to sell a lot of copies. Because she has limited shelf space, she can't put out all her copies of the CD at once. On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold. On Tuesday morning, she counted the number of copies left and then added that many more to the shelf. In other words, she doubled the number that was left in the display. At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday. On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday. Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty. How many copies of the As I Am CD did she sell each day?

Answer:

She sold 24 copies of the cd each day.

Step-by-step explanation:

In order to solve this problem we must first set our variable up. In this case, since we need to know what the number of sold cd's per day is, that will just be our variable:

x= Number of copies sold.

So we can start setting our equation up. So we take the first part of the problem:

"On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold."

This can be translated as:

40-x

where this expression represents the number of copies left on the shelf by the end of monday.

"On Tuesday morning, she counted the number of copies left and then added that many more to the shelf."

so we represent it like this:

(40-x)+(40-x)

"In other words, she doubled the number that was left in the display."

so the previous expression can be simplified like this:

2(40-x)

"At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday."

so the expression now turns to:

2(40-x)-x   this is the number of copies left by the end of tuesday.

"On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday."

this translates to:

3[2(40-x)-x]

This is the number of copies on the shelf by the begining of Wednesday.

"Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty."

this piece of information lets us finish writting our equation:

3[2(40-x)-x] -x = 0

since there were no copies left on the shelf, then the equation is equal to zero.

So now we proceed and solve the equation for x:

3[2(40-x)-x] -x = 0

We simplify it from the inside to the outside.

3[80-2x-x]-x=0

3[80-3x]-x = 0

we now distribute the 3 so we get:

240-9x-x=0

we combine like terms so we get:

240-10x=0

we move the 240 to the other side of the equation so we get:

-10x=-240

and divide both sides into -10 so we get:

x=24

so she sold 24 copies each day.

\(1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}\)

we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.

Answer:

7/11

Step-by-step explanation:

Answer:

so the labelled angles are 30 and 90, but it only shows one 90. In fact there are 4 angles of 90. The marked 90 then the vertical angle and the complementary angles. All triangles equal 180 so the given 30 and 90 are taken from the 180.

180 -30-90= 60

But y is the opposite of the 30 which makes y=30

so that leaves x = 60

y=30 and x=60

Answer:

Y=2x+1

Step-by-step explanation: