Is the following a statistical question?
) How much did Adventure Rapids water park make on opening day this year?
yes
No

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

Autumn's bank registry will be :

Transaction Amount Balance

Paycheck $1275.00 $1275.00

Rent $400.00 $875.00

Utilities $75.00 $800.00

Cell Phone $80.00 $720.00

Subway Pass $120.00 $600.00

Groceries $200.00 $400.00

Work Clothes $100.00 $300.00

Entertainment $100.00 $200.00

Savings $200.00 $0.00

As you can see, Autumn has $0.00 left over at the end of the month. This means that she is spending more money than she is earning. In order to create a budget that works for her, Autumn will need to find ways to cut back on her expenses. Some possible areas where she could cut back include:

Autumn could look for a cheaper apartment or move in with more roommates. Autumn could turn off lights and appliances when she's not using them and seal up any cracks or holes in her apartment to keep the heat in during the winter and the cool air in during the summer.

By cutting back on her expenses, Autumn can create a budget that works for her and save money for the future.

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Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

Answer:

D No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.

Step-by-step explanation:

Got it right on unit test review

The probability of it occurring by chance alone is not unlikely.

We have given that,

An air-conditioning repair technician claims to complete 67% of repairs in under an hour. A random sample of 31.

repairs was chosen, and 22 of those were completed in under an hour. Let p = the proportion of the random.

The sample was completed in under an hour.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

The probability that 71% or more of this technician's repairs were completed in under an hour is 0.317.

D No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.

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The nearest tenth, 44.5 minutes have gοne by.

Time is the οngοing prοgressiοn οf existence and events that take place in what appears tο be an irreversible οrder frοm the past thrοugh the present tο the future. It is οne οf the quantities that make up variοus measurements that are used tο cοmpare the lengths οf events οr the gaps between them, tο cοmpare hοw lοng they last, tο οrder events, and tο measure hοw quickly certain quantities in the physical wοrld οr in cοnsciοus experience change. The fοurth dimensiοn, in additiοn tο the three spatial dimensiοns, is frequently referred tο as time.

If Teresa has finished 57% οf her run, then she has 43% left tο cοmplete.

Let x be the number οf minutes that have gοne by.

Since 57% οf the run is cοmpleted in 78 minutes, we can set up the fοllοwing prοpοrtiοn:

57/100 = x/78

Sοlving fοr x, we get:

x = (57/100) * 78

x = 44.46

Therefοre, tο the nearest tenth, 44.5 minutes have gοne by.

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\( \sqrt{ \frac{1 - cos(150)}{2} } = \sqrt{ \frac{1}{2} - \frac{cos(150)}{2} } = \sqrt{ \frac{1}{2} - \frac{ \frac{ - \sqrt{ 3}}{2} }{2} } = \sqrt{ \frac{2}{4} + \frac{ \sqrt{3} }{4} } = \sqrt{ \frac{2 + \sqrt{3} }{4} } \)

\(= \frac{ \sqrt{6} + \sqrt{2} }{4} \)

BTW:

\(sin(75) = \frac{ \sqrt{6} + \sqrt{2} }{4} \)

\( = > sin(75) = \sqrt{ \frac{1 - cos(150)}{2} } \)

Ans: True

Ok done. Thank to me >:33

For w=4 and p=3

Simply replace w by 4 and p by 3 in the equation , and solve:

Answer:

the line's equation is y=-2/3x-4/3.

Step-by-step explanation:

y-y₁=m(x-x₁)               use point-slope form formula

y-(2)=(-2/3)(x-(-5))      substitute values

y-2=-2/3(x+5)            simplify

y-2=-2/3x-10/3          add 2 to both sides

 +2          +2

y=-2/3x-4/3

i can't attach a graph, but if you copy and paste the equation into the website desmos, it will graph the line for you!

Answer:

26

hope this heps and pls mark brainliest :))

Step-by-step explanation:

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Answer:

Option 1

Step-by-step explanation:

\(\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}\)

Answer:

I dont know if you still need it but the area of the figure is 51.5 ft2.

The area of the given figure is equivalent to 39.5 square feet.

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is to find the area of the given figure as shown in the image.

We can write the area of the given figure as -

A{total} = A{Rectangle} + A{Δ1} + A{Δ2}

A{total} = (8 x 4) + (1/2 x 3 x 3) + (1/2 x 3 x 2)

A{total} = 32 + 4.5 + 3

A{total} = 39.5 square feet

Therefore, the area of the given figure is equivalent to 39.5 square feet.

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Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

By multiplying the surface area of one face by six, 54 cm2 is obtained as the area of six faces.

By multiplying the surface area of one face by six, 54 cm2 is obtained as the area of six faces.

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Therefore, the coordinates of the vertices of the image after the transformation Is,-1 ° r y-axis are J'(-1,-2), R'(3,6), and B'(-4,5).

In mathematics, a coordinate refers to a set of numbers that identifies the position or location of a point in a space. Coordinates can be used to specify the position of objects in one, two, or three-dimensional spaces. The most common types of coordinates used in mathematics are the Cartesian coordinates, which consist of an ordered pair of numbers representing the x and y coordinates of a point in a two-dimensional space, and the three-dimensional Cartesian coordinates, which consist of an ordered triple of numbers representing the x, y, and z coordinates of a point in a three-dimensional space. Coordinates are widely used in geometry, algebra, and other branches of mathematics.

Here,

To apply the transformation Is,-1 ° r y-axis, we need to reflect each point of the original figure across the y-axis. This is done by changing the sign of the x-coordinate and leaving the y-coordinate unchanged. The coordinates of the vertices of AJRB are J(1,-2), R(-3,6), and B(4,5). Applying the transformation, we get:

J'(-1,-2) (x-coordinate changes sign, y-coordinate stays the same)

R'(3,6) (x-coordinate changes sign, y-coordinate stays the same)

B'(-4,5) (x-coordinate changes sign, y-coordinate stays the same)

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Based on the problem, here are the given data:

Price of the Laptop = $884.69 including tax.

Monthly Payment = $31.30

Time = 5 years = 60 months

Therefore, by the end of 5 years, Emilie will have paid $1,878.

Therefore, the interest added to the original price is $993.31.

So, (assuming simple interest)

interest = 993.31

Principal = 884.69

time = 5 years

To get the interest rate, we have the formula below:

Let's substitute the values that we have to the formula above.

Therefore, the interest rate is 22.5%.

The distance between town A and town B is 93.5 km.

Solving for  the distance between town A and town B:

Let's first convert the 42 minutes delay of the car to hours:

42 minutes = 42/60 hours

                    = 0.7 hours

Now, let's assume that the time it took for the car to travel from A to B is t hours.

The distance between A and B is the same for both the lorry and the car, so we can set up an equation:

Distance = Speed x Time

For the lorry:

Distance = 50t

For the car:

Distance = 80 (t-0.7)

We know that when the car arrived at B, the lorry had 25km left to cover. So:

50t - Distance covered by lorry = 25

50t - (50t - 25) = 25

Simplifying:

25 = 25

This equation is always true, which means our assumptions are correct.

Therefore, we can equate the two distance equations:

50t = 80(t-0.7)

50t = 80t - 56

30t = 56

t = 1.87 hours

Finally, we can use the distance equation with either the lorry or the car to find the distance between A and B:

Distance = Speed x Time

Distance = 50 x 1.87

Distance = 93.5 km

So the distance between town A and town B is 93.5 km.

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Answer:

1:3

Step-by-step explanation:

10 red cards, 10 black cards, and 20 blue cards

We want the ratio of red to other cards

red : blue and black

10 : 10+20

10 : 30

Divide each side by 10

10/10 : 30/10

1:3

The solution for the given expression is 14∛x. The correct option is (C).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

5∛x + 9∛x

The given expression can be simplified as follows,

5∛x + 9∛x

Here, both the terms have equivalent variables. So, both are like terms.

As per the rules like terms can be added or subtracted keeping the variable as the same.

Thus, 5∛x + 9∛x = 14∛x

Hence, the given expression can be evaluated as 5∛x + 9∛x = 14∛x.

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Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(s\) is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that \(\mu = 0\)

Randomly select 10 cars

This means that \(n = 10\)

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that \(X = 0.41, s = \sqrt{0.16} = 0.4\)

Calculate the test statistic.

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}\)

\(t = 3.24\)

The test statistic is t = 3.24.

The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.

The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.

The wiper's arm is represented by a line segment and has a length of 14 inches.

The wiper's blade is perpendicular to the arm and has a length of 25 inches.

Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.

As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.

The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.

In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.

Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.

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Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

Answer:

A 48

Step-by-step explanation:

Answer:

40 degrees

Step-by-step explanation:

2x-30+x=90

Then you add x to 2x which will be 3x so now its

3x-30=90

add 30 to both sides

3x=120

divide 3 from both sides

x=40

Since Angle QPR is virticle to 2x-30+x=90

Angle QPR is 40 degrees

I got you bro go to sleep g

Answer:

b, d, e

Step-by-step explanation:

Part (A)

The input variable is the shoe size because it is along the horizontal axis, or x axis. It's not clear what the units for the shoe size are, but it's possible the units are in inches.

The output variable is the y value, which in this case is the height. The units for the height is in inches.

====================================================

Part (B)

We have a positive trend. We determine this visually by noting the regression line, or trend line, is going upward as we move from left to right.

Algebraically, the equation for the trend line has a positive slope, which leads to a positive trend.

A positive trend is where x and y increase together. As shoe size goes up, height goes up as well.

While not all the points are on the line, there is a tendency for the points to go uphill as we move from left to right.

As for the strength of the correlation, that part is subjective. If we knew the correlation coefficient r, then we could be more certain; however, we don't know this value. So instead we have to eyeball the given graph and give an estimate. Based on the graph, I'd say there's a moderate positive correlation going on. It's somewhere in the middle of weak and strong positive correlation because the data points are somewhat scattered randomly, but they trend upward nonetheless.

====================================================

Part (C)

The rate of change is the slope. The slope is the coefficient of the independent variable x. In this problem, the slope is 1.728

So the rate of change is 1.728 inches per shoe size.

In other words, as the shoe size increases by 1 unit (1 inch perhaps?), the height will increase by roughly 1.728 inches.

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

Extra info:

The equation

Height = 51.46 + 1.728(Shoe Size)

is the same as

y = 51.46 + 1.728x

where x is the shoe size and y is the height

We can rearrange that into

y = 1.728x + 51.46

So that it matches with the familiar y = mx+b slope intercept form. This is optional.

There are total 15 students who take all three subjects.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We know that;

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C)- n(A ∩ C)+ n(A∩B ∩C)

Here, Total number of students in the school = 62

Hence, By using theorem;

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C)- n(A ∩ C)+ n(A∩B ∩C)

Here, Let n(A) = Mathematics, n(B) =Physics and n(C) = Chemistry

so putting values,

62 =  40 + 42 + 38 - 20 - 28 - 25 + n(A∩B ∩C)

62 + 73 - 120 = n(A∩B ∩C)

n(A∩B ∩C) = 15

Therefore, There are total 15 students who take all three subjects.

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The height of the parallelogram is 8 inches. By using the formula for the area of a parallelogram, we were able to find the missing value (height) by rearranging the formula and plugging in the given values.

To find the height of the parallelogram, we can use the formula for the area of a parallelogram, which is Area = Base × Height (A = b × h). In this problem, the area (A) is given as 40 square inches, and the base (b) is 5 inches. We need to find the height (h).

Using the formula, A = b × h, we can plug in the given values:

40 = 5 × h

To solve for h, we can divide both sides of the equation by 5:

40 ÷ 5 = 5 × h ÷ 5

8 = h
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