What type of trangle is formed with sides of length 11, 13) and 15?
right triangle
isoscelés Kriangle
O scaldne triangle
équilateral triangle

see your answer in Pic

Answer:

A

Step-by-step explanation:

Answer:

220 yd / min

Step-by-step explanation:

miles /hr    x    hr / min     x   yd / mile   =   yd / min  

  ( see how things 'cancel out ' and you are left with  yds per minute?)

Substitute in the values :

   15 / 2     x    1 / 60         x        1760   = 220 yd/min

Answer:

220 yards

Step-by-step explanation:

she travels 15 miles in 2 hours , that is

15 × 1760 = 26,400 yards in 120 minutes

distance travelled in 1 minute = 26,400 ÷ 120 = 220 yards

The gross earning per week is = $ 495.56.

The salary to hourly wage calculator allows you to view your earnings over several time frames. It is a versatile tool that enables you to change your annual salary into an hourly payout, compute your monthly salary into an hourly rate, change your weekly rate into an annual salary, etc. You will save time and effort by using our salary converter, which completes all tasks fast and easily.

Joseph works 5 hours on Monday

10 hours on Tuesday,

9. 5 hours on Wednesday

8. 25 hours on Thursday

6 hours on Friday

7. 5 hours on Saturday

He is paid $9. 85 per hour and time and a half for all hours over 40 per week.

Total working hour= 5+10+9.5+8.25+6+7.5=46.25

Earning per hour is = 9.85

total earning= 46.25*9.85=$455.56

total gross earning= $ 455.56+40=495.56

learn more about Earning per hour,

https://brainly.com/question/18221968

#SPJ4

The required mean, variance and standard deviation of Y are 9, 320/27, and 3.26 respectively.

Let X be the random variable indicating the number of Tails in a loaded coin flipped three times. P(H) = 2/3 and P(T) = 1/3. So, the probability distribution of this experiment can be tabulated as follows:

X | 0 | 1 | 2 | 3P(X) | (1/27) | (6/27) | (12/27) | (8/27)

Now, we will find the mean, variance, and standard deviation of X:

Mean: E(X) = ΣXP(X)= 0 × (1/27) + 1 × (6/27) + 2 × (12/27) + 3 × (8/27)= 2

Variance: Var(X) = Σ[X - E(X)]²P(X)= [0 - 2]² × (1/27) + [1 - 2]² × (6/27) + [2 - 2]² × (12/27) + [3 - 2]² × (8/27)= (4/27) + (8/27) + 0 + (8/27)= 20/27

Standard deviation: sX = √(Var(X))= √(20/27)= 0.84

Now, we will find the mean, variance, and standard deviation of Y:

Y = 1 + 4X

Mean: E(Y) = E(1 + 4X) = E(1) + 4E(X) = 1 + 4(2) = 9

Variance: Var(Y) = Var(1 + 4X) = Var(4X) = 4²Var(X) = 16 × (20/27) = 320/27

Standard deviation: sY = √(Var(Y))= √(320/27)≈ 3.26

You can learn more about standard deviation at: brainly.com/question/29115611

#SPJ11

Answer:

Average speed

= 5 5/6 mph , or

= 5.83 mph (to 2 decimals)

Step-by-step explanation:

Average speed is total distance divided by the total time it takes to cover the given distance.

Since uphill = 5 mph, and downhill = 7 mph, we know the average speed is between 5 and 7 mph.

Let

x = distance uphill, and also distance downhill.

Total distance = 2x miles

Total time = x/5 + x/7 hours  = 12x/35 hours

Average speed

= total distance/total time

= 2x / (12x/35) mph

= 70x / 12x

= 5 5/6 mph

= 5.83 mph (to 2 decimals)

The approximate number of customers (waiting and being served) at the carwash is 3.

To determine the number of customers (waiting and being served) at the carwash, we can use Little's Law, which states that the average number of customers in a system is equal to the average arrival rate multiplied by the average time spent in the system.

In this case, the average arrival rate is 9 customers per hour, and the average waiting time is given as 23 minutes (which is equivalent to 23/60 = 0.3833 hours).

Using Little's Law, we can calculate the average number of customers in the system:

Average number of customers = Average arrival rate * Average time spent in the system

Average number of customers = 9 customers/hour * 0.3833 hours

Average number of customers = 3.4497 customers

Since we can't have fractional customers, we round the value to the nearest whole number.

Therefore, the approximate number of customers (waiting and being served) at the carwash is 3.

It's important to note that this calculation assumes steady-state conditions and that the arrival and service distributions are not known.

To learn more about carwash from the given link

https://brainly.com/question/29089890

#SPJ4

Answer:

-12.73

Step-by-step explanation:

since you are adding a negative, it is the same as subtracting. subtract -7.1 from -5.63 to get -12.73. hope this helps

The estimated population mean weight of squash is 5. This means that on average, the squash in the population weigh 5 pounds.

The population mean weight of squash can be estimated using the sampling distribution of squash. The sampling distribution is a probability distribution that shows the possible values of the sample mean and the corresponding probabilities. In this case, the sampling distribution is given as follows:

Sample mean weight of squashProbability30.140.250.460.270.1

To estimate the population mean weight of squash, we can calculate the expected value of the sampling distribution. The expected value is the weighted average of the possible values of the sample mean, where the weights are the corresponding probabilities. The formula for the expected value is:

E(X) = ∑xP(X=x)

Where X is the sample mean weight of squash, x is a possible value of X, and P(X=x) is the probability of X being equal to x.

Using the formula, we can calculate the expected value of the sampling distribution as follows:

E(X) = (3)(0.1) + (4)(0.2) + (5)(0.4) + (6)(0.2) + (7)(0.1) = 0.3 + 0.8 + 2 + 1.2 + 0.7 = 5

Therefore, the estimated population mean weight of squash is 5. This means that on average, the squash in the population weigh 5 pounds.

Learn more about population

brainly.com/question/27991860

$SPJ11

Answer:

Step-by-step explanation:

To convert 20 cm to meters, we divide by 100, because 1 meter = 100 centimeters.

So, 20 cm = 20/100 m = 0.2 m

To convert 0.2 m to meters in the lowest form, we divide by 15, because 1 meter = 15 units.

So, 0.2 m = 0.2/15 m = 0.013 m

So the final answer is 0.013 m.

Answer:

10

Step-by-step explanation:

you get a extra 2 because there is 1/4 left over x 8

Answer:

nth term = 4 + n^2

Step-by-step explanation:

Sorry if the answer is long but I'm hoping my explanation can help.

In order to understand the issue, we should try to find the pattern between the terms given.

The terms given were 5, 8, 13, 20 and 29.

Between the first term and second term, the difference is 3.

Between the second and third term, the difference is 5.

The pattern goes on and we find out that the difference between the (n-1)th term and the nth term is

2n - 1.

Hence, we can determine the pattern of the numbers is

nth term = (n-1) term + 2n - 1

We can use this to find term 0 (before term 1) by plugging in the values for term 1

5 = 0th term + 2 (1) - 1

5 = 0th term + 1

Hence the 0th term = 4

If we expand on the summation,

We can find the nth term

nth term = 4 + 2 (1) - 1 + 2(2) - 1 + ... + 2(n-1) - 1 + 2n - 1

As we can see, the number 1 has been subtracted n times (excluding the -1 in 2(n-1)). Hence, we can split combine all of the subtracted ones into -n.

We can rewrite it as

nth term = 4 + 2 (1) + 2(2) + ... + 2(n-1) + 2n - n

Now, we will move 4 and n to one side.

nth term = 4 - n + 2 (1) + 2(2) + ... + 2(n-1) + 2n

We can factorize 2 out from every term to the right of -n. This would give out

nth term = 4 - n + 2 (1 + 2 + ... + (n-1) + n)

The term (1 + 2 + ... + (n-1) + n) can actually be rewritten by using the triangular formula.

The triangular formula is stated such that

Tn = (n*(n+1))/2

This heavily simplifies the equation into

nth term = 4 - n + 2 [(n*(n+1))/2]

This equation becomes

nth term = 4 - n + n^2 + n.

Now, we can finally simplify into the final equation

nth term = 4 + n^2

Answer:

56.83?

Step-by-step explanation:

The new value of the baseball is $56.65.

Given that, the cost of baseballs = $55.00 and the value increases by 3% in the next year.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, new value = 55+3% of 55

= 55 + 0.03 × 55

= 55 + 1.65

= $56.65

Therefore, the new value of the baseball is $56.65.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

we need to divide 9 by 4 to get the amount each one needs to weed. So the answer is:

Answer:

80% = 80/100 = 8/10

I hope this helps! If it does, please mark me Brainliest! Thanks in advance!

The confidence interval for the mean is (10.7485, 11.6515)

Given Data:

n = 225

×= 11.2

s = 4.1

Note that, Population standard deviation(\(\alpha\)) is unknown. So we use t distribution.

Our aim is to construct a 90% confidence interval.

c = 0.90

\(\alpha\) = 1- c = 1- 0.90 = 0.10

\(\alpha\)/2 = 0.10/2 = 0.05

Also, d.f = n - 1 = 225 - 1 = 224

t\(\alpha\)/2.d.f- = t\(\alpha\)/2.n-1 = t0.05,224 = 1.652

( use t table or t calculator to find this value..)

The margin of error is given by

E = t\(\alpha\)/2,d.f. * (s / \(\sqrt{n}\))

= 1.652 * (4.1/ √225)

= 0.4515

Now , confidence interval for mean(\mu) is given by:

(× - E ) <  μ< x + E)

(11.2 - 0.4515) < μ < (11.2 + 0.4515)

10.7485 < μ< 11.6515

To learn more about confidence interval

https://brainly.com/question/16807970

#SPJ4

Answer:

41/6 n

Step-by-step explanation:

Given

1230°

Find

Convert degree to radians

Explanation

To convert a degree measurement to radians we use the following formula:

Substitute the value of 1230°:

Simplify:

Answer:

(-4,0)

-4 is in the y axis and 0 is in the x axis

Answer:

-6,3....................

Answer:

(-4,3)

Step-by-step explanation:

The eigenvalues are λ₁ = 1, λ₂ = 7. The eigenvector corresponding to λ = 1 is [t, -t], λ = 7 is [2t, t].  Eigenvalues and eigenvectors, we have:

(x(t), y(t)) = c₁ * [t, -t] * \(e^{t}\) + c₂ * [2t, t] * \(e^{7t}\).

To find the eigenvalues and eigenvectors of the coefficient matrix, we start by setting up the matrix equation:

A * X = λ * X,

where A is the coefficient matrix, X is the eigenvector, and λ is the eigenvalue.

The coefficient matrix for the given system is:

A = [[5, 4], [2, 3]].

To find the eigenvalues, we solve the characteristic equation:

det(A - λI) = 0,

where I is the identity matrix.

Substituting the values into the equation, we have:

|5 - λ, 4|

|2, 3 - λ| = 0.

Expanding the determinant, we get:

(5 - λ)(3 - λ) - (4)(2) = 0,

λ^2 - 8λ + 7 = 0.

Solving this quadratic equation, we find the eigenvalues:

λ₁ = 1, λ₂ = 7.

To find the eigenvectors, we substitute each eigenvalue back into the equation (A - λI) * X = 0 and solve for X.

For λ = 1:

(A - λI) * X = 0

|5 - 1, 4|

|2, 3 - 1| * X = 0

|4, 4|

|2, 2| * X = 0.

Reducing the matrix to row-echelon form, we have:

|1, 1|

|0, 0| * X = 0.

The system of equations becomes:

x + y = 0.

Choosing x as the leading variable, we set x = t (parameter) and solve for y:

y = -t.

Therefore, the eigenvector corresponding to λ = 1 is [t, -t].

For λ = 7:

(A - λI) * X = 0

|5 - 7, 4|

|2, 3 - 7| * X = 0

|-2, 4|

|2, -4| * X = 0.

Reducing the matrix to row-echelon form, we have:

|1, -2|

|0, 0| * X = 0.

The system of equations becomes:

x - 2y = 0.

Choosing y as the leading variable, we set y = t (parameter) and solve for x:  x = 2t.

Therefore, the eigenvector corresponding to λ = 7 is [2t, t].

Now, we can write the general solution of the given system:

(x(t), y(t)) = c₁ * eigenvector₁ * \(e^{t}\)*λ₁ + c₂ * eigenvector₂ * \(e^{t}\)*λ₂,

where c₁ and c₂ are arbitrary constants.

Plugging in the eigenvalues and eigenvectors, we have:

(x(t), y(t)) = c₁ * [t, -t] * \(e^{t}\) + c₂ * [2t, t] * \(e^{7t}\).

Learn more about eigenvalues here:

https://brainly.com/question/30141989

#SPJ11

Answer:

See below for proof.

Step-by-step explanation:

Given:

\(\log_ab \times \log_ba=1\)

To prove the given equation, begin by changing the base of the two logs so that they have the same base.

\(\boxed{\textsf{Change of base}: \quad \log_pr=\dfrac{\log_xr}{\log_xp}}\)

Change the base of both logs to x by using the change of base formula:

\(\implies \log_ab=\dfrac{\log_xb}{\log_xa}\)

\(\implies \log_ba=\dfrac{\log_xa}{\log_xb}\)

Substitute into the equation:

\(\implies \log_ab \times \log_ba=\dfrac{\log_xb}{\log_xa} \times \dfrac{\log_xa}{\log_xb}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}\times \dfrac{b}{d}=\dfrac{a \times b}{c \times d}:\)

\(\implies \dfrac{\log_xb \times \log_xa}{\log_xa \times \log_xb}\)

Apply the commutative property of multiplication to the numerator:

\(\implies \dfrac{\log_xa \times \log_xb}{\log_xa \times \log_xb}\)

Cancel the common factor logₓb:

\(\implies \dfrac{\log_xa}{\log_xa}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{n}{n}=1:\)

\(\implies \dfrac{\log_xa}{\log_xa}=1\)

Hence proving that:

In one calculation:

\(\begin{aligned}\implies \log_ab \times \log_ba & =\dfrac{\log_xb}{\log_xa} \times \dfrac{\log_xa}{\log_xb}\\\\&=\dfrac{\log_xb \times \log_xa}{\log_xa \times \log_xb}\\\\&=\dfrac{\log_xa \times \log_xb}{\log_xa \times \log_xb}\\\\&=\dfrac{\log_xa}{\log_xa}\\\\&=1\end{aligned}\)

Step-by-step explanation:

price difference= $45-$36

=$9

now,

x% of $45=$9

or, x/100 ×45 =9

or, x/20 ×9=9

or, x/20=1

therefore, x= 20%

Answer:

3 (m-2)-5=8-2 (m-4)

Step-by-step explanation:

please mark me as brainliest.

Answer:

-12

Step-by-step explanation:

Answer:

104

Explanation:

1. Split the figure by the line the larger portion creates.

2. Calculate the area of the left-hand side... 7 · 8 = 56cm squared.

3. You know that the total length of the figure is 15cm. You've already "used" 7cm of that. So... 15 - 7 = 8.

4. Now, we simply do 6 · 8 = 48. Almost there!

5. Finally, add the values of the left side and the right side (48 + 56 = 104)

6. YOUR ANSWER IS 104 cm squared.

a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:

X2 = Σ i=1 3 (Xi − i)2 / 3.

X2 has chi-squared distribution with 3 degrees of freedom.

b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

T = (X1 − 1) / [(X2/2)0.5].

T has t-distribution with 2 degrees of freedom.

c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].

F has F-distribution with 1 and 2 degrees of freedom.

#SPJ11

Let us know more about distribution : https://brainly.com/question/32696998.

In accordance with the definition of a system of linear equations, Arianys contains 15 pennies and 6 nickels, respectively.

The groups of linear equations with the same unknowns for which a common solution is required are known as degrees of systems of linear equations.

A system of equations is solved by determining the value of each unknown until the system's equations are all satisfied.

A set of linear equations must be provided in this scenario, keeping in mind that "x" is the total number of pennies that Arianys possesses.

Arianys has "y" nickels in his possession.

Given,

Arianys has pennies and nickels worth $0.45.

She has a combined total of 21 pennies and nickels.

The equations are written as follows:

x + y = 21

0.01x + 0.05y = 0.45

There are several ways to solve a system of equations, but it is decided to use the graphical method, which involves displaying the graphs connected to the system's equations in order to determine its solution. The location where the two graphs converge is the system's solution since its coordinates fulfil both equations.

The intersection point between the two equations in this example is determined to be (x,y)=(15,6) by graphing the system of equations (see attached image). As a result, Arianys has 15 pennies and 6 nickels.

To know more about equations, visit:

brainly.com/question/14323743

#SPJ1

The equation in slope-intercept form that shows the relationship is y = 10x

From the question, we have the following parameters that can be used in our computation:

Rate of beating wings = 10 times per second

The equation in slope-intercept form of the relationship is then represented as

y = Rate of beating wings * x

Where

y is the number of times

x is the wings

So, we have

y = 10 * x

Evaluate

y = 10x

Hence, the equation is y = 10x

Read more about linear equations at

https://brainly.com/question/4074386

#SPJ1