As a promotion, the first 50 customers who entered a certain store at a mall were asked to choose from one of two discounts. The first discount choice was 20% off all purchases made that day. The second discount choice was 10% off all purchases for the week. Of those who received the discounts, 28 chose the first discount and 22 chose the second discount. One customer will be selected at random from those who received a discount. Let.

The acceleration of the car, which comes to a complete stop, is -0.42857 m/s².

The acceleration of the car can be found using the formula:

acceleration = (final velocity - initial velocity) / time.

In this case, the final velocity is 0 m/s, the initial velocity is 15 m/s, and the time is 35 seconds. Plugging these values into the formula gives:

acceleration = (0 - 15) / 35

acceleration = -15 / 35

acceleration = -0.42857 m/s²

Therefore, the car's acceleration is -0.42857 m/s². This means that the car is negatively accelerating, or decelerating, at a rate of 0.42857 m/s².´

See more about acceleration at https://brainly.com/question/460763.

#SPJ11

Using proportions, it is found that the number 523 is 523 units from zero.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the context of the problem using arithmetic operations such as multiplication and division with the unit rates of the measures.

One example of application is for the digit values of a number, as:

And so on...

For the number 523 given in this problem, since each unit is worth one, the number of units that it is away from zero is given by:

523/1 = 523 units.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The correct properties of the normal curve are:

A. The high point is located at the value of the mean.

C. The area under the normal curve to the right of the mean is 1.

F. The graph of a normal curve is symmetric.

Analyzing each of the options we can see that:

The normal curve is symmetric, with the highest point (peak) located exactly at the mean.

It has a bell-shaped appearance.

The area under the entire normal curve is equal to 1, representing the total probability. The area under the normal curve to the right of the mean is 0.5, or 50% of the total area, as the curve is symmetric.

The normal curve is not skewed right; it maintains its symmetric shape. The value of the standard deviation does not determine the location of the high point of the curve.

Then the correct options are A, C, and F.

Learn more about the normal curve:

https://brainly.com/question/23418254

#SPJ4

The following are properties of the normal curve: A. The high point is located at the value of the mean, C. The total area under the normal curve is 1 (not just to the right), and F. The graph of a normal curve is symmetric.

Based on the options provided, the following statements are properties of the normal curve:

Other options do not correctly describe the properties of a normal curve. For instance, normal curves are not skewed right, the high point does not correspond to the standard deviation, and the area under the curve to the right of the mean is not 0.5.

https://brainly.com/question/30390016

#SPJ6

the ramp gets further away from the step, the angle it has with the ground decreases.

θ = \(tan^{-1}\)(0.515 / (48 + x))

Assuming that the ramp remains the same height as the step, we can use trigonometry to find the angle that the ramp would make with the ground if it starts farther away from the step.

First, let's convert the distance from feet to inches, since the height of the step is given in inches: 4 feet = 48 inches.

Next, we can use the tangent function to find the angle theta:

tan(θ) = opposite / adjacent

where opposite is the height of the step (5 inches) and adjacent is the horizontal distance from the base of the step to the point where the ramp meets the ground (48 inches * tan(5.9°) = 5.514 inches).

So, tan(θ) = 5 / 5.514, which gives us θ = 41.2°.

Now, let's say the ramp starts at a distance x from the base of the step. We can use the same formula, but with a different value for adjacent:

tan(θ) = 5 / (48 + x) * tan(5.9°)

We can simplify this expression by substituting the value of tan(5.9°) as approximately 0.1032:

tan(θ) = 0.515 / (48 + x)

Solving for theta, we get:

θ = \(tan^{-1}\)(0.515 / (48 + x))

As a result, we can see that the denominator of the fraction within the arctan function gets larger as x increases (i.e., the ramp starts further from the step), resulting in a smaller fraction and, consequently, a smaller angle theta. To put it another way, as the ramp gets further away from the step, the angle it has with the ground decreases.

know more about trigonometry visit:

https://brainly.com/question/29002217

#SPJ9

The ratio of heads to tails in the probability test is 2:1 or (D) 2/1.

A ratio is a relationship or comparison between two numbers belonging to the same unit in order to determine how much larger one number is than the other.

For instance, if a test result is 7 out of 10, the ratio of the number of points earned to the total number of points is 7:10.

So, we know that the coin is flipped 36 times in the probability test:

Head = 24

Tails = 36 - 24 = 12

The ratio of heads to Tails:

Heads:Tails
24:12

24/12

2/1

2:1

Therefore, the ratio of heads to tails in the probability test is 2:1 or (D) 2/1.

Know more about the ratio here:

https://brainly.com/question/28896354

#SPJ4

Complete question:
In a probability, experiment Eric flip a coin 36 times. The coin landed on the head 24 times. What is the ratio of heads to tails in this experiment?

A.3/2

B.1/2

C.2/3

D.2/1

Therefore,the function that has only one x-intercept at (-6, 0) is f(x) = (x + 6)(x - 6).

In this function, when you set f(x) equal to zero, you get:

(x + 6)(x - 6) = 0

For this equation to be satisfied, either (x + 6) must equal zero or (x - 6) must equal zero. However, since we want only one x-intercept, we need exactly one of these factors to be zero.

If (x + 6) = 0, then x = -6, which gives the x-intercept (-6, 0).

If (x - 6) = 0, then x = 6, but this would give us an additional x-intercept at (6, 0), which we do not want.

Therefore, the function f(x) = (x + 6)(x - 6) has only one x-intercept at (-6, 0).

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

Jasmine can run in one hour is 7.25 miles.

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given that,

Jasmine can run 4\(\frac{5}{6}\) miles in \(\frac{2}{3}\) of an hour.

\(\frac{2}{3}\) of an hour = 4\(\frac{5}{6}\) miles

                     = \(\frac{29}{6}\) miles

By using unitary method we will find the value of an hour.

1 hour = \(\frac{\frac{29}{6} }{\frac{2}{3} }\)

          =  \(\frac{29}{6}\) × \(\frac{3}{2}\)

          = \(\frac{29}{4}\)

1 hour  = 7.25 miles

Hence, Jasmine can run in one hour is 7.25 miles.

To learn more about unitary method from the given link:

https://brainly.com/question/10673687

#SPJ4

The length of the height of the radio tower using property of right triangles is 22.58 m.

Given that,

Angle of elevation from the surveyor to the top of building = 38°

Angle of elevation from the surveyor to the top of radio tower = 50°

Distance from surveyor to the base of the building = 55 m

We get two right triangles here.

Let the total height of building and radio tower = h

Let the height of the building = x

Height of the radio tower = h - x.

Now,

tan (50°) = h / 55

h = 55 × tan (50°)

  = 65.546 m

Similarly,

tan (38°) = x/ 55

x = 55 × tan (38°)

  = 42.971 m

Height of the radio tower = h - x

                                          = 22.58 m

Hence the correct option is A.

Learn more about Right Triangles here :

https://brainly.com/question/29333179

#SPJ1

Answer:

12 minutes till 88 liters

Step-by-step explanation:

Answer:

8 years.

Step-by-step explanation:

Mara is 6.

6+8=14

Alberto is 20.

20+8=28

14*2=28.

In 8 years, Alberto will be twice Mara's age.

a) The value of x is -6

b) The value of the expression is -3 .

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

a) x-2=xy+16

y= 4 a solution to the equation

Substitute y=4 into the equation.

x-2=x(4)+16

x-2=4x+16

-2-16=4x-x=3x

-18=3x

x=- 18/3= -6

The value of x is -6

b)  \(x^y+xy^2\)

substitute x= -3 and y =2

(-3)²+(-3)(2)²

= 9 - 12

= -3

To learn more about the equation from the given link

https://brainly.com/question/28218072

#SPJ1

Answer:

A. (1,4), (-5, 2), (7, 1), (-8, 2)

Step-by-step explanation:

Definition of a Function

A function is a relation between an input and an output set of values with the condition that every element in the input set relates only to one element in the output set.

From the four options presented in the question, we must select the only one that doesn't repeat the value for x and has a different value of y.

For example, the set

B. (1,4), (-5, 6), (1, 3), (-8, 2) is not a function because the input value of 1 has two different output values

C. (1,0), (-5,3), (7, 1), (-5,5) is not a function either because the input value of -5 has two different output values

The correct choice is:

A. (1,4), (-5, 2), (7, 1), (-8, 2)

Answer:

X would equal 5

Step-by-step explanation:

You isolate the variable by dividing each side by factors that don't contain the variable

Answer: Sophie's

Step-by-step explanation:

Q1 is the second point.

When the patient recovery time from a specific surgical procedure is normally distributed, with a mean of 5.2 days and a standard deviation of 2.3 days, the probability of spending more than 2 days in recovery will be 0.61.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. Information about the likelihood that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is used in epidemiology to comprehend the connection between exposures and the risk of health effects.

Here,

z=(X-μ)/σ

X=2

μ=5.2

σ=2.3

Z=(2-5.2)/2.3

Z=-1.39

-1.39+1

=0.39

1-0.39=0.61

The probability of spending more than 2 days in recovery will be 0.61 when the patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 2.3 days.

To know more about probability,

https://brainly.com/question/11234923?referrer=searchResults

#SPJ4

Answer:

33

Step-by-step explanation:

90-57 = 33

Answer:

33 degrees

Step-by-step explanation:

its a right triangle which is 90 degrees so if you just subtract 90-57 you'll get your answer which is 33.

Answer:

I think the right answer is A

sorry if I am wrong

Answer:

10 minutes

Step-by-step explanation:

This is because if u have both the faucet and drain on at the same time, it will fill the tub faster

Answer:

60 minutes

Step-by-step explanation:

Therefore, 6 minutes and 40 seconds are needed to test possibilities.

Combinations are sometimes known as selections. Combinations are the results of selecting elements from a set assortment. Nothing specific is being organized here. We are choosing them. To denote the number of unique r-selections or combinations among a set of n items, we write n C r. Combinations are distinct from arrangements or permutations.

Here,

The first two numbers in this three-term series are 17 and 24, and the third one remains a mystery.

Given that there are 40 options for the third number and that each try takes 10 seconds, we have 40 x 10 seconds, or 400 seconds, to try every possible combination.

Thus,

=> 400 seconds  is equals to 6 minutes and 40 seconds

Therefore, 6 minutes and 40 seconds are needed to test every scenario.

To know more about combination , visit

brainly.com/question/28042664

#SPJ4

Answer:

120 people

Step-by-step explanation:

The number of people as well as the number of chairs is 5

so that means there are exactly 120 ways in which they can be seated.

The measure of angle R, in degrees, is 150°.

A parallelogram is a quadrilateral or four-sided shape, that has opposite sides that are parallel to each other. The opposite sides of a parallelogram are equal in length, and the opposite angles are also equal in measure.

In a parallelogram, opposite angles are equal, so if the measure of angle P is five times the measure of angle Q, then the measure of angle R must also be five times the measure of angle Q.

Let's call the measure of angle Q "x". Then the measure of angle P is 5x, and the measure of angle R is 5x.

Therefore, the measure of angle R in degrees is 5x degrees.

We know,

All of the angles added together = 360°

∠5Q +∠Q+∠5Q+∠Q = 360    Solve for Q

∠12Q = 360  

⇒  ∠Q = 30°

then ∠P = ∠5Q = 5(30) = 150°    

and,

 ∠P = ∠R    

⇒ ∠R = 150°

To know more about parallelograms refer to:

brainly.com/question/1563728

#SPJ4

During the month of May, there were 130 births, of which the newborn death rate is 38.4615.

According to the question,

There were 130 births, of which 127 were full-term births and three were premature births. There were five newborn deaths.

In order to find the newborn death rate we have the formula:

=  \(\frac{number of death under 28 days of age }{Total live births in the same year}\)  × 1000

= \(\frac{5}{130}\) × 1000

=\(\frac{5000}{130}\)

=38.4615

Hence, the new born death rate is 38.4615.

Learn more about rate here

https://brainly.com/question/18271127

#SPJ4

Answer:

x = -1

Step-by-step explanation:

x=-1

Hope this Helped!

Answer:

Misty saves $16.

Step-by-step explanation:

Total price for the purchase before discount is $48. To find how much discount, divide 48 by 3 which is 16.

The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

For more such questions on centroid

https://brainly.com/question/7644338

#SPJ11

Answer:

should be 112

Step-by-step explanation:

You take both 12 and 14 and multiply. Then, take 8 and 7 and multiply. Take 168 and subtract 56,and there's your answer

Answer:

Hello answer: 112

Step-by-step explanation:

assuming you want the area that's shades in grey this is what I do to find it.

I do 14 × 12 = 168 so that would be the area if the shape didn't have a cut in the middle sense it does I'll find the area of the cut subtract that from 168 resulting in the area of this figure so...

8 × 7 = 56

168 - 56 = 112 therefore 112 is the area! hope that helps!

The area of the largest rectangle having two vertices on the x-axis and two more vertices above the x-axis and on the parabola with equation y = 9 - x² is 36 square units.

To find the area of the largest rectangle having two vertices on the x-axis and two more vertices above the x-axis and on the parabola with equation y = 9 - x², we need to use optimization techniques.

Let's start by drawing the graph of the parabola and the rectangle:

   |

 9 -|            ************

   |         ****          ****

   |       ***                ***

   |     **                      **

   |    *                          *

   |   *                            *

   | **                              **

   *------------------*------------------*

  x = -3            x = 0              x = 3

Let's call the height of the rectangle h and the width 2x (since we have two vertices on the x-axis). The area of the rectangle is then A = 2xh. To find the maximum area, we need to maximize A with respect to x and h.

The two vertices above the x-axis are on the parabola y = 9 - x², so their coordinates are (x, 9 - x²) and (-x, 9 - x²). The height of the rectangle is therefore h = 9 - x². The width of the rectangle is 2x.

The area of the rectangle is therefore A = 2xh = 2x(9 - x²). To find the maximum area, we need to find the critical points of A(x).

Taking the derivative of A(x) with respect to x, we get:

A'(x) = 18x - 2x³

Setting A'(x) = 0, we get:

0 = 2x(9 - x²)

This gives us two critical points: x = 0 and x = ±√9 = ±3.

To find the maximum area, we need to check which of these critical points give us the maximum value of A(x). We can do this by computing the value of A(x) at each critical point:

A(0) = 2(0)(9 - 0²) = 0

A(3) = 2(3)(9 - 3²) = 36

A(-3) = 2(-3)(9 - (-3)²) = 36

Therefore, the maximum area is obtained when x = ±3, and the area of the rectangle is A = 2x(9 - x²) = 36.

In summary, the area of the largest rectangle having two vertices on the x-axis and two more vertices above the x-axis and on the parabola with equation y = 9 - x² is 36 square units.

Know more about "parabola" here:-

https://brainly.com/question/29322662#

#SPJ11