Find the value of n
(3√2)2=2n

Answer:

\(a= r- d - c\)

Step-by-step explanation:

Converting the equation to solve for a really just means getting a alone on one side of the equation.

\(a + c = r - d\)

To get a alone on the left, we can subtract c from both sides:

\(a+ c = r -d\\a = r - d - c\) (Since c - c = 0, c will disappear from the left side.)

Answer: \(a= r- d - c\)

Answer:

\( \longmapsto \: a + c = r - d \\ (a + c) - c = (r - d) - c \\ \boxed{a = r - d - c}✓\)

The Probability that the tennis team won 9  games is 1.35% , under the given condition that the tennis team wins 73% of their game,  if they play 10 games.

Therefore, probability of winning nine games out of ten with a 73% win rate can be evaluated using the binomial distribution formula
\(P(X=k) = (n choose k) * p^k * (1-p)^{(n-k)}\)

Here
P(X=k) = probability of winning k games out of n games
n = total number of games played (n=10)
k = number of games won (k=9)
p = probability of winning a single game (p=0.73)

Staging the values in the formula
\(P(X=9) = (10 choose 9) * 0.73^9 * (1-0.73)^{(10-9)}\)
= ( 10 - 9) x (0.05) x ( 0.27)¹

= 1 x 0.05 x 0.27

= 0.0135

Converting into percentage

0.0135 x 100

= 1.35%

The probability that the tennis team won 9  games is 1.35% , under the given condition that the tennis team wins 73% of their game,  if they play 10 games.

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The data distribution is skewed to the right. This is because the bars are clustered towards the left side of the histogram and taper off towards the right side.

The histogram of distances students live from school provided in the question shows that the majority of students in Tuan's homeroom live within a short distance of the school, with only a few students living farther away. The distribution is skewed to the right because the bars are clustered towards the left side of the histogram and taper off towards the right side. This indicates that there are fewer students who live farther away from school. A skewed distribution means that the data is not evenly distributed and tends to cluster towards one end. In this case, the distribution is skewed to the right because there are fewer students living farther away from school.

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Complete question is in the image attached below

Answer:

B. skewed.

Step-by-step explanation:

and then the next part is

1

hope this helps :)

Answer:

72 divided by 12 = 6 feet

Step-by-step explanation:

Since there are 12 inches in ONE FOOT you have to divide the total number of inches by the inches that are in a foot which is 12.

Answer:

a = 33cm

b = 33cm

c = 11cm

Step-by-step explanation:

Let us say that the sides of the triangle are a, b and c

The perimeter of a triangle can be calculated by adding all three sides of the triangle.

Perimeter = a + b + c

Let side c be the shortest side of the triangle.

From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that

a = 3c and b = 3c

We can input these values into the perimeter of the triangle

Perimeter = 3c + 3c + c = 77

Perimeter = 7c = 77

c = 11

The shortest side, c is = 11 cm

side a is 3 X 11 = 33cm

side b = 3 X 11 = 33 cm

A toy car moves by itself due to a type of motor called a self-propelled motor. This type of motor powers the movement of the toy car.

A self-propelled motor is a motor that does not require an external force to power it. It is powered by an internal mechanism that causes it to move. In a toy car, the self-propelled motor is usually a type of small electric motor.The motor is powered by a battery, and it generates rotational energy. This rotational energy is transferred to the wheels of the toy car, causing them to move. This movement allows the toy car to move forward or backward, depending on the direction of the motor's rotation.What makes the toy car move?The self-propelled motor is connected to the wheels of the toy car. The rotational energy generated by the motor is transferred to the wheels, causing them to rotate. As the wheels rotate, they come into contact with the ground, creating friction.

This friction causes the wheels to grip the surface of the ground and move the toy car forward or backward. The faster the motor rotates, the faster the wheels move, and the faster the toy car moves.

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We can use the following theorem:

From the problem:

The solution is given by the point of intersection of the two lines which is (-1/4, 3/4).

To find the point of intersection of two lines, we need to determine the equations of the lines and then solve them simultaneously.

Finding the equation of the first line passing through the points (-1, 3) and (0, 0).

The slope of the line (m1) can be calculated using the formula:

m1 = (y2 - y1) / (x2 - x1)

Substituting the values (-1, 3) and (0, 0):

m1 = (0 - 3) / (0 - (-1))

= -3 / 1

= -3

Using the point-slope form of the line equation:

y - y1 = m1(x - x1)

Substituting the values (-1, 3):

y - 3 = -3(x - (-1))

y - 3 = -3(x + 1)

y - 3 = -3x - 3

y = -3x

So, the equation of the first line is y = -3x.

Similarly, second line,

The slope of the line (m2) is:

m2 = (2 - 0) / (1 - (-1))

= 2 / 2

= 1

Using the point-slope form with the values (-1, 0):

y - 0 = 1(x - (-1))

y = x + 1

So, the equation of the second line is y = x + 1.

Equating the equations of the lines to find the point of intersection and hence the solution,

-3x = x + 1

0 = 4x + 1

-1 = 4x

x = -1/4

Put x = -1/4 in 2nd equation,

y = x + 1

y = (-1/4) + 1

y = 3/4

Therefore, the point of intersection of the two lines is (-1/4, 3/4).

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Answer:

56.549 feet

Step-by-step explanation:

Diameter. ft in m

18′0″ 56.55. 678.6 17.24

18′1″ 56.81.

18′2″ 57.07. 684.9

18′3″ 57.33. 688.0

18′4″ 57.60. 691.2

18′5″ 57.86. 694.3 17.64

18′6″ 58.12. 697.4 17.71

18′7″ 58.38 700.6 17.79

18′8″ 58.64 703.7 17.87

18′9″ 58.90. 706.9 17.95

18′10″ 59.17. 710.0 18.03

18′11″ 59.43. 713.1 18.11

To find the inverse function of F(x) = 2x - 3, we replace F(x) with y, swap the positions of x and y, and solve for y. The inverse function is f⁻¹(x) = (x+3)/2.

To find the inverse function of F(x) = 2x - 3, follow these steps

Replace F(x) with y. The equation now becomes y = 2x - 3.

Switch the positions of x and y, so the equation becomes x = 2y - 3.

Solve for y in terms of x. Add 3 to both sides: x + 3 = 2y.

Divide both sides by 2 (x + 3)/2 = y.

Replace y with the notation for the inverse function, f⁻¹(x): f⁻¹(x) = (x + 3)/2.

So, the inverse function of F(x) = 2x - 3 is f⁻¹(x) = (x + 3)/2.

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--The given question is incomplete, the complete question is given

" How do I find the inverse function of F(x) = 2x - 3"--

If Leslie leaves $9,000 in a savings account for 3 years with an annual compound interest rate of 4 percent, the amount of money that will accumulate is approximately $10,174.88.

To calculate the future value of Leslie's investment, we can use the compound interest formula:

Future Value = Principal Amount * (1 + Interest Rate)^Time

Given that the principal amount is $9,000, the interest rate is 4 percent (or 0.04), and the time is 3 years, we can substitute these values into the formula:

Future Value = $9,000 * (1 + 0.04)^3

Future Value ≈ $9,000 * 1.124864

Future Value ≈ $10,174.88

Therefore, if Leslie leaves $9,000 in the savings account for 3 years at an annual compound interest rate of 4 percent, the amount that will accumulate is approximately $10,174.88.

This calculation demonstrates the relationship between interest rates, time, and future sums. As the interest rate increases, the future value of the investment also increases. Similarly, as the time period increases, the future value of the investment grows. This shows that higher interest rates and longer time periods have a compounding effect on the accumulation of funds. It emphasizes the importance of considering both the interest rate and the length of time when making financial decisions, as they significantly impact the growth of an investment.

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Answer:

- 5

Step-by-step explanation:

Step 1:

60 = - 12r

Step 2:

12r = -60

Step 3:

r = - 60 ÷ 12

Answer:

r = - 5

Hope This Helps :)

Answer:

Step-by-step explanation:

The ratio of a change in a quantity (dL) to the original quantity (L) is given by:

dL/L

This ratio can also be expressed as a percentage change, which is calculated by multiplying the ratio by 100:

(dL/L) * 100 = percent change

In general, the ratio of dL/L represents the fractional change in the quantity L and is used to quantify the effect of small changes in a system or process. For example, if L is the length of an object and dL is a small change in length, then dL/L represents the fractional change in length due to this change.

The intersection of the two lines has a y-coordinate of 4. In the conventional (x,y) coordinate plane, the meeting point is at (2,4).

To find the point of intersection between the lines y = x/2 + 3 and y = 3x - 2, we can set their equations equal to each other and solve for x:

x/2 + 3 = 3x - 2

Simplifying this equation, we get:

5/2 x = 5

x = 2

Now that we have found the x-coordinate of the intersection point, we can substitute it into either of the two equations to find the corresponding y-coordinate. Let's use the equation y = 3x - 2:

y = 3(2) - 2

y = 4

Therefore, the y-coordinate of the point of intersection of the two lines is 4. The intersection point is (2, 4) in the standard (x,y) coordinate plane.

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The probability of obtaining sufficient participants for their study is 0.0029.

The probability of researchers at a firm finding enough subjects for their study can be calculated using binomial probability.

Binomial probability is a probability distribution that calculates the probability of one event's occurrence in a specified number of experiments or trials that produce either positive or negative outcomes.

The probability that an event will occur in n number of trials or experiments is determined using the following formula:

P(X=a) = ⁿCₐ * p^a * (1-p)^(n-a)

Where ⁿCₐ is the number of combinations of "n" items taken "a" at a time.

"p" is the probability of an event occurring.

"(1-p)" is the probability of an event not occurring.

"n" is the number of experiments, and "a" is the number of successful events.

Let us solve the problem now. We have n = 729 and p = 0.04

We need to find out the probability of finding 19 children with the gene for their study. This means that we need to find out P(X=19)Now, we can calculate it as:

P(X=19) = ⁿCₐ * p^a * (1-p)^(n-a)

Putting the given values, we get:

P(X=19) = ⁷²⁹C₁₉ * (0.04)^19 * (1 - 0.04)^(729 - 19)

≈ 0.0029

Hence, the probability of finding enough subjects for their study is 0.0029.

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The value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

To answer the question, we will conduct a hypothesis test to at the 0.1 level to ascertain whether or not the manufacturer's MPG rating is incorrect.

We start by stating the null and alternative hypotheses:

\($H_0$\): The mean miles/gallon for the vans is 53.8

\($H_A$\): The mean miles/gallon for the vans is not 53.8

We choose a significance level $\alpha = 0.1$ and calculate the following test statistic:

\($z = \frac{\bar{x}-\mu}{\sigma/\sqrt{n}} = \frac{53.4-53.8}{1/\sqrt{16}} = -2.5$\)

With a standard normal table, we look for the area to the left of -2.5, which is 0.0062. Because this value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

Therefore, the value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

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The correct option is option (d). In other words, Mr. Rowland's class was more successful because his class had the same lower quartile as top quartile of Mrs. Cai's class.

Box plots were created to compare the number of events, Mrs. Cai and Mr. Roland's class has won the school athletic meet for the last ten years. Let's talk about boxplot first.

What is a boxplot?

In descriptive statistics, a boxplot (also called a wishler plot) is a type of graph used in explanatory data analysis. A boxplot visually shows the distribution of numerical data and its skewness by showing the quartiles and means of the data.

Minimum score:

Minimum score without outliers (indicated at the end of the left whisler).

Lower quartile: 25% of the results are below the lower quartile (also known as the first quartile).

Median: The median marks the midpoint of the data and is indicated by the line that divides the box in two (sometimes called the second quartile).

Upper quartile:

75% of the results are below the top quartile. This means that 25% of the data are above this value.

Max Score:

Highest score without outliers (shown at the end of the right whisker)

Now, we can easily evaluate the required information from given box plot. We see that

the lower quartile of Mr. Roland’s class = 4

and upper quartile of Mrs. Cai’s class = 4

both values are same but lower quartile reach to upper quartile that means Mr. Roland’s class was more successful.

Hence, option (d) is right.

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Answer: 37.5

Step-by-step explanation: just multiply! hope this helps!

Given,The ideal weight per dose of a certain drug is 0.05 grams.Actual weight can vary from the ideal value by no more than 0.002 grams.

To find the acceptable range of weights that will not cause the pharmacy to be fined.We have to determine the minimum and maximum acceptable weights.So, minimum acceptable weight = ideal weight - actual weight variationMinimum acceptable weight = 0.05 - 0.002Minimum acceptable weight = 0.048 grams.

Similarly, Maximum acceptable weight = ideal weight + actual weight variation Maximum acceptable weight = 0.05 + 0.002Maximum acceptable weight = 0.052 gramsTherefore, the range of weights that will be acceptable to an inspector without causing the pharmacy to be fined is 0.048 grams to 0.052 grams.

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For both problems, we can use the section formula.

1) \(P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}\)

2) \(Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}\)

Answer:

21

Step-by-step explanation:

Answer:

13/50

Step-by-step explanation:

Answer:

26/100

Method:

Fractions are much like percents, as they are both out of 100. The 26% is 26%/100% (26/100)

The total red area of the five circles making up this archery target is given by the formula πr2.
The diameter of the first circle is length so its radius is length/2. Therefore, the red area of the first circle is π(length/2)2.
The diameter of the second circle is 2 so its radius is 1.

Therefore, the red area of the second circle is π.  Adding these together, the total red area is π(length/2)2 + π.

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Therefore, the expression that would give the total number of elements in the array list is n*m.

The Student question is given below :Assume that Item is some class available to the code below and that n and m are two integer variables correctly initialized. Consider the following array declaration and initialization.

\(Item[][] list= new Item[n][m];\)

What expression would give the total number of elements in the array list?

The expression that would give the total number of elements in the array list is n*m. The given array declaration and initialization is Item[][] list= new Item[n][m]; This declaration and initialization signify that the array list is a 2D array with n rows and m columns. The total number of elements in this array can be determined by computing the product of the total number of rows (n) and the total number of columns (m).

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Answer:

I think number 5

Answer:

y = 40.96

Step-by-step explanation:

Given

4 = \(\frac{y}{10.24}\) ( multiply both sides by 10.24 to clear the fraction )

4 × 10.24 = y , that is

y = 40.96

Answer:

yes it is exactly 39 ft long

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

using the Pythagorean theorem:

36² + 15² = c²

1296 + 225 = c²

1521 = c²

c = 39 ft

Sarah had worked for 50 hours, Kate had worked for 75 hours and Dave had worked for 45 hours.

Hour:

A unit of time equal to one of 24 equal divisions of a day; 60 minutes

Given that:

S+ D+ K = 135

K= S+ 25

D= S- 10

Now,

S+ (S-10)+ (S+25) = 135

⇒ S+ S-25+ S+10 = 135

⇒ 3S - 15 = 135

⇒ 3S = 150

⇒ S = 165/3 = 50

Now,

If S = 50 hours

Then,

K = 50+ 25 = 75 hours

and

D = 55 - 10 = 45 hours

Therefore, Sarah had worked for 50 hours, Kate had worked for 75 hours and Dave had worked for 45 hours.

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Answer:

476 Pi cm^2

Step-by-step explanation:

The surface area of a cone is given by the formula:

● Sa = Pi× r^2 + Pi×r×l

r is the radius and l is the slant heigth.

■■■■■■■■■■■■■■■■■■■■■■■■■■

We are given that:

● r = 14 cm

● l = 20 cm

Let's calculate Sa

● Sa = Pi×14^2 + Pi × 14 × 20

● Sa = 476 Pi cm^2

Answer:

Step-by-step explanation:

805

8

10

Explanation:

The bottom of the conyon to ses level plus sea level to the bird nest.

First you add 82+723

And than you need to find the common denominator in this case 10  

1

2

=

5

10

5

10

+

3

10