Chen rode his skateboard 3 3/4 miles in 3/4 of an hour. What was his average speed in miles per hour?

A 2 13/16

B 4

C 4 1/2

D 5

The probability of x taking on a value between 75 to 90 is 0.25.

Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.

The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.

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Answer:

d.   $8,623.40

Step-by-step explanation:

EDGE 2021

The balance after 6 years on an account that pays 5.5% annual interest compounded continuously with an initial deposit of $975 is $1,356.19.

Continuous compounding involves calculating the interest earned on a principal amount continuously over time, which results in a higher overall balance than other compounding frequencies.

Using the formula A = Pe^(rt), where A is the final balance, P is the initial deposit, r is the interest rate, and t is the time, we can calculate the balance after 6 years as A = 975e^(0.055*6) = $1,356.19. Therefore, the correct answer is option D, $1,356.19.

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If a pollster wishes to estimate the number of left-handed scientists. The sample that is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4% is: 176.71.

Using this formula to find the sample

n =Z²π (1-π) ÷ e²

Where:

n =sample size =?

Z =  Z -score for 95% confidence level =1.960

π = Population proportion = 0.08

e = Margin of error = 0.04

Let plug in the formula

n = 1.96² × 0.08 × (1 - 0.08) ÷ 0.04²

n =  3.8416× 0.08 × 0.92 ÷ 0.0016

n = 176.71

Therefore the sample is 176.71.

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Answer:

The y intercept would be (0, 1/3)

The number at the end is always the y value. In a y intercept x is always 0.

Distance from Y to Z is 10.4 km and Z to X is 20 km

Distance is a numerical measurement of how far apart objects or points are.

A triangle is a polygon with three edges and three vertices.

From the given data plot the graph,

Then,

∠XYZ=∠YZX=75 degrees

Therefore XY=XZ=20 km

\(YZ^{2}=20^{2} +20^{2} -2(20)(20)cos30\)

YZ=10.4 km

Hence, Distance from Y to Z is 10.4 km and Z to X is 20 km

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Answer:

Step-by-step explanation:

Q.2.1.1 The solution is the combination of the intervals (-∞, -3/2) and (5/2, ∞).

Q.2.1.2 The solution is the interval (-19, 11).

Let's solve the given inequalities and represent the solutions on the number line:

|2x-1| - 7 > -3

To solve this inequality, we can split it into two cases based on the absolute value:

Case 1: 2x - 1 > 0

In this case, the absolute value |2x-1| becomes (2x-1) itself. So we have:

(2x - 1) - 7 > -3

2x - 1 - 7 > -3

2x - 8 > -3

2x > 5

x > 5/2

Case 2: 2x - 1 < 0

In this case, the absolute value |2x-1| becomes -(2x-1) or -2x + 1. So we have:

-(2x - 1) - 7 > -3

-2x + 1 - 7 > -3

-2x - 6 > -3

-2x > 3

x < -3/2

Combining the solutions from both cases, we have the solution set:

x < -3/2 or x > 5/2

Now, let's represent this solution on the number line:

      --------------------------------------------o---o--------------

      -3/2               5/2

|x + 4| - 6 < 9

Again, we split the inequality into two cases based on the absolute value:

Case 1: x + 4 > 0

In this case, the absolute value |x + 4| becomes (x + 4) itself. So we have:

(x + 4) - 6 < 9

x + 4 - 6 < 9

x - 2 < 9

x < 11

Case 2: x + 4 < 0

In this case, the absolute value |x + 4| becomes -(x + 4) or -x - 4. So we have:

-(x + 4) - 6 < 9

-x - 4 - 6 < 9

-x - 10 < 9

-x < 19

x > -19

Combining the solutions from both cases, we have the solution set:

-19 < x < 11

Representing this solution on the number line:

      --------------------------o---------o------------------------

      -19                         11

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We can write A = PAP where 1 P= and A= where P is an invertible matrix that maps the null space of A to itself.  

To find the matrix P, we need to solve the following system of linear equations:

λ_1 1 = 1

λ_2 (-4) 1 = 1

λ_3 (-1) 1 = 1

The eigenvalues are real and non-negative, so they can be written as λ = λ_1, λ_2, λ_3 = λ_1, -4, -1 respectively.

Using Cramer's rule, we have:

\(λ_1 * 1^T = 1 * 1^T = 1\)

\(λ_2 * (-4)^T = -4 * 1^T = -4\)

\(λ_3 * (-1)^T = (-1) * 1^T = -1\)

Multiplying the first and third equations, we get:

\(-λ_1 * λ_3 = -4 * (-1) = 4\)

Multiplying the second and third equations, we get:

\(-λ_2 * λ_3 = -4 * (-1) = 4\)

Subtracting the second equation from the first, we get:

\(λ_1^2 - λ_2^2 = 1^2 - (-4)^2 = 5\)

Multiplying the first and third equations, we get:

\(-λ_1 * λ_2 = -4 * (-1) = 4\)

Dividing the third equation by the second equation, we get:

\(-1/λ_2 = -1/λ_3\)

Taking the reciprocal of both sides, we get:λ_2 = λ_3

Substituting this into the second equation, we get:

-\(λ_1 * λ_3 = -4 * (-1) * λ_3 = -4\)

Simplifying, we get:

-4 = -4

This equation has no solution, so the matrix A cannot be written in the form A = PAP where 1 P= and A= Thus, the answer is no.  

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Full Question: the matrix, A, has eigenvectors and whose eigenvalues are 1, –4 and – 1 respectively. Then, using the same order, A can be written in the form A = PAP where 1 P= and A=

Answer:

go near the bottom tight of the screen the  you will see 13 sorry i cant help more then that

Step-by-step explanation:

Answer:

3555 approx

Step-by-step explanation:

area of court = 4000 ft^2

8 kids area = 9 ft^2

area. kids

9. 8

4000. ?

(4000×8)/9 = 3555.5

A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.

The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.

The general format of a proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:

Considering x as the cost before sales tax, the equation is given as follows:

y = x + 0.1x

y = 1.1x.

Meaning that one point is given as follows:

(5,5.5).

Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.

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d = rt

d/r  rt/r

d/r = t

Answer:

43

Step-by-step explanation:

800 × 8% × (8/12)

The context that could be modeled by a linear function is A. A smartphone data plan charges $65/month and $0.46/GB of data used.

The total cost of the data plan depends linearly on the amount of data used.  The monthly fixed cost of $65 represents the y-intercept, and the variable cost of $0.46/GB represents the slope of the linear function.

A linear function is a rule in Maths that links two things on a graph using a straight line.

For instance: y = mx + b

In this equation

y = the thing that depends on something else (like time),

x = the thing it depends on (like distance),

m = how much y changes when x changes and

b = where the line starts on the up-and-down axis.

So, the slope (m) shows how y changes when x changes and the starting point (b) tells us where the line begins.

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The lengths of the sides of the triangle are 5, 12, and 13.

So the correct option is the last one.

Remember that if we have two points (x₁, y₁) and (x₂, y₂), the distance between these two points is given by the formula:

d = √( (x₁ - x₂)² + (y₁ - y₂)²)

Here we know that the vertices of our triangle are the points:

(0, 0), (5, 0), (5, 12)

And we want to find the lengths of the sides.

We can get the length of the first side using the points  (0, 0), (5, 0)

d₁ = √( (0 - 5)² + (0 - 0)²) = 5

The length of the second side is: (5, 0), (5, 12).

d₂ = √( (5 - 5)² + (0 - 12)²) = 12

The length of the third is side is given by the points (5, 12) and (0, 0)

d₃ = √( (5 - 0)² + (12 - 12)²)

d₃ = √(25 + 144) = 13

Then the correct option is the last one:

5, 12, 13.

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Answer:

X = -6, y = 8.

Step-by-step explanation:

Rearrange the second equation to the form ax + by = c

x + 2y = 10

2x - y = -20

Multiply equation 1 by -2

-2x - 4y = -20

Adding this to the second equation

-5y = -40

Y = 8.

Now substitute x = 8 into equation 1

X + 2(8) = 10

X = -6.

Answer:

3.92522 i used a right triangle caluclator

Step-by-step explanation:

Answer:

3.9 broo

Step-by-step explanation:

Bro use the Sin law

a / Sin A = b / sin B = c / sin C

the missing angle is 180 - (90 + 63) which is 27

so you have one side measure =>

-------------------------------------------------------------------

2 / sin 27 is equal to x / sin 63         solve to proportion, sooo

4.40537853 is equal to x/0.891006524

then:  4.40537853 times 0.891006524 is x

x = 3.92522101

so last choice, 3.9

-8/13 x 26/-3 = -208/-39 = 16/3.

16/3, D

Answer:

D. (16/3)

Step-by-step explanation:

 -8          26

-------  ×  -------  

  13          -3

Multiply the top and the bottom together.

--------------------------------

-8 x 26 = -208

13 x -3 = -39

---------------------------------

 -8          26        -208

-------  ×  -------  =  --------

  13          -3          -39

Simply the fraction

 -208   ÷  13           -16

------------           =  ----------

   -39  ÷   13             -3

Cancel out the negatives

-16          16

-------  =  -------

 -3            3

I hope this helps!

Answer:

60

Step-by-step explanation:

((sum of frequency of even numbers)/(total number of tries))(150)

The total weight of the four babies is given as follows:

28 lbs.

The total weight is obtained applying the proportions in the context of the problem.

The weights for each baby are given as follows:

Combining the four weights, the total weight of the four babies is given as follows:

7.25 + 6.75 + 5.875 + 8.125 = 28 lbs.

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We have a call center where the inter-arrival time of calls is 10 seconds on average and the service rate is 1 call per minute.

We have to find the minimum number of representatives required so that the queue is stable.

We can start by expressing the arrival rate of calls as:

The service rate is:

For stability

Answer:

This is not correct

Step-by-step explanation:

He could have rolled a 6 on the second roll without rolling a 6 on the first roll, the first roll had ZERO effect on the second one to be able to change what he would roll

Answer:

NO

Step-by-step explanation:

I got the answer right on my test

The main advantage of using a graphic calculator is that it speeds up the process of solving more difficult arithmetic problems for students.

A graphing calculator, often known as a graphics calculator or graphic display calculator, is a portable computer that can plot graphs, solve many equations at once, and carry out other variable-related activities. The most common graphing calculators are programmable calculators, which let the user design unique programs, generally for scientific, technical, or educational purposes. They feature big screens that show computations and several lines of text.

Numerous graphing calculators may be connected to sensors such as accelerometers, electronic thermometers, pH meters, weather stations, decibels, light meters, and other devices to operate as data recorders and as monitoring, polling, and communication tools with teachers. The use of such data in student laboratory tasks improves their understanding of math, particularly statistics and mechanics. 

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Answer:

Kindly check explanation

Step-by-step explanation:

A.)

Differentiating based on the shape of the box and whisker plot.

The first plot, named shrella depicts a skewed distribution, (negative skew) highlighted by the long whisker (tail) to the left with the median also shifting towatds to the right of the box away from the box center. This could mean that the time difference between the coins aren't even and older coins seem to exhibit a larger time gap than newer coins.

The second plot however. VENITA, depicts a distribution which could be described as normal, as the whiskers are aodt of equal length and the median centered in the middle of the box. This could mean that Venita's coins are evenly spread out based time.

B.)

As for the overall spread, Shrella's plot covers a wider range, hence (larger spread) than Venita's plot. Thanks to the long whiskers in Shrella's plot.

For the spread within the boxes, Venita's plot has a larger within box spread than Shrella. With Venita's plot has a wider box tham Shrella's box plot.

C)

The appropriate measure of centre to be used is the median which is denoted by the vertical line in between the box. Shrella's plot has a median value of about 68 while Venita's has a median value of 60. The median value are still s bit close or similar.

Answer:

25% decrease

Step-by-step explanation:

Answer:

\(|RT|=\sqrt{85}$ units\)

Step-by-step explanation:

On Rectangle QRST

QS is congruent to RT since they are opposite side of a rectangle.

If Q is located at (-6,-1) and S is located at (1, 5), we simply find the length of QS using the distance formula.

For points \((x_1,y_1)$ and (x_2,y_2)\) on the coordinate axis,

Distance\(=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

In this case,\((x_1,y_1)=(-6,-1)$ and (x_2,y_2)=(1, 5)\)

\(|QS|=\sqrt{(1-(-6))^2+(5-(-1))^2}\\=\sqrt{(1+6)^2+(5+1)^2}\\=\sqrt{(7)^2+(6)^2}\\|QS|=\sqrt{85}$ units\)

Since

\(|QS| \cong |RT|\\ |RT|=\sqrt{85}$ units\)

Answer:

(a). Music and dance.

(b). Three students.

(c). Hong, Ryan, Lena and Mai

Step-by-step explanation:

a) Hong is not a member of i. music and Dance

b) 2 students which is Eric and Omar

c). Mai , Hong,Ryan and lena

Answer:

it's 2

Step-by-step explanation:

I try my best to answer