What is the value of x in the equation below?
3/4x + 5 - 2x = 15
a) x= 1/2
b) x=-8
c) x=-1/2
d) x = 8

Answer:

c electrical to kinetic

Answer:

D

Step-by-step explanation:

Chemical to electric to kinetic

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

for such more question on mean

https://brainly.com/question/14532771

#SPJ8

The greatest common factor of the expression is 4m⁴.

GCF simply means the greatest common factor.

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Hence,

56m⁵

68m⁴

The greatest common factor of the expression  is the largest positive expression that divides evenly into all numbers with zero .

Hence, the greatest common factor is 4m⁴

learn more on GCF here: https://brainly.com/question/11444998

#SPJ1

The bulb is 5 inches far from the vertex of the cross section.

A portion of the right cone known as a parabola is one that runs parallel to the generating line on one side of the conic figure.

The standard equation for a parabola is typically expressed as y² = 4ax if the directrix is parallel to the y-axis, and y² = 4ax if the parabola is in the negative quadrants. The conventional equation of a parabola is x² = 4ax if the parabola is sideways, or if the directrix is parallel to the x-axis. If the parabola is in the negative quadrants, the equation is x² = 4ax.

Given, The equation x = 1/20y² can be used to model the cross section of a parabolic spotlight (with units in inches).

We must determine the distance between the bulb and the cross section's vertex.

Equation x = 1/20y² is alternatively denoted by the expression y² = 20x.

Now, comparing the equation to the parabola's conventional form, y²=4ax

So, 4a=20

a=5

Consequently, a=5 represents the distance from the cross section's vertex to the bulb.

To learn more about parabola, visit:

https://brainly.com/question/21685473

#SPJ9

According to the information we can infer that the period of the graph is 8.

To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.

In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.

Learn more about period in: https://brainly.com/question/23532583
#SPJ1

Using proportions, it is found that out of the next 75 couples asked, 49 will have at least one spouse that prefers action movies.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching this problem on the internet, it is found that out of 150 couples initially surveyed, 26 + 25 + 12 + 22 + 13 = 98 couples had at least one spouse preferring action movies, hence the proportion is:

p = 98/150 = 0.6533.

Out of the next 75 couples, the amount is:

A = 0.6533 x 75 = 49

Hence, out of the next 75 couples asked, 49 will have at least one spouse that prefers action movies.

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

#SPJ1

Answer:

A

Step-by-step explanation:

Two angles are complementary if their angles add up to 90

let x= angle b

35+x=90

x=55

\(\text{Apply sine rule,}\\\\~~~~~~\dfrac{28}{\sin 27^{\circ}}=\dfrac x{\sin 64^{\circ}}\\\\\\\implies x = \dfrac{28 \sin 64^{\circ}}{\sin 27^{\circ}}\\\\\\\implies x \approx 55.4334\)

Answer:

-3/5, -1, -5/3,  -3, -7

Step-by-step explanation:

Let x go from 1 to 5

x =1      (1+2)/(1-6) = 3/-5 = -3/5

x =2      (2+2)/(2-6) = 4/-4 = -1

x =3      (3+2)/(3-6) = 5/-3 = -5/3

x =4      (4+2)/(4-6) = 6/-2 = -3

x =5      (5+2)/(5-6) = 7/-1 = -7

The standard form of polynomial is x^2 + 9x - 1/10

To write the equation in standard form, look at the degree of highest term and then rewrite the equation in decreasing order of degree i.e. from highest to lowest.

The given polynomial is

⇒ x^2 + 9x - 1/10

The standard form of the polynomial is

⇒ x^2 + 9x - 1/10

Learn more about polynomial here

https://brainly.com/question/15313798

#SPJ1

Answer:

To test the effects of the multi-vitamin, we must test it on people with short-term memory loss. So the population should be people with short-term memory loss. The independent variable is the multi-vitamin and the dependent variable is the short term memory state of the people being tested. A control group can consist of people with short-term memory loss NOT being treated by the multi-vitamin.

If you would like more help on math or other subjects for FREE, check out growthinyouth.org.

Answer:

1/2

Step-by-step explanation:

Given the equation

6/12 = x/8

We are to find the proportion

Cross multiply

12 * x  = 8 * 6

12x = 48

x = 48/12

x = 4

Hencethe value of x is 4

Substitute into the expression to get the proportion

6/12 = 4/8

In its lowest term;

6/12 = 4/8 = 1/2

Hence the required proportion is 1/2

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

The probability for part a is 14.56%, for part b is 0, and for a part, c is 1.35%.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

From the Normal Approximation to Binomial

Mean =  n×P = (1100× 0.1) = 110

Variance = n×P×Q = 1100×0.1×0.9 ) = 99

Standard deviation = √(variance) = √(99) = 9.94

Condition for Normal Approximation to Binomial

n×P ≥ 10

n×(1 - P ) ≥ 10

Part a)

P ( X ≥ 121 )

P(X > n - 0.5) = P(X > 121 - 0.5) = P( X > 120.5 )

X ~ N (µ = 110 , σ = 9.94)

P (X > 120.5) = 1 - P (X < 120.5)

Z = ( X - µ ) / σ

Z = ( 120.5 - 110 ) / 9.9499

Z = 1.0553

P ( ( X - µ ) / σ ) > ( 120.5 - 110 ) / 9.9499 )

P ( Z > 1.0553 )

P ( X > 120.5 ) = 1 - P ( Z < 1.0553 )

P ( X > 120.5 ) = 1 - 0.8544

P ( X > 120.5 ) = 0.1456 ≈ 14.56%

Part b)

P ( X ≥ 165 )

P ( X > n - 0.5 ) = P ( X > 165 - 0.5 ) = P ( X > 164.5 )

X ~ N ( µ = 110 , σ = 9.9499 )

P ( X > 164.5 ) = 1 - P ( X < 164.5 )

Standardizing the value

Z = ( 164.5 - 110 ) / 9.9499

Z = 5.4774

P ( ( X - µ ) / σ ) > ( 164.5 - 110 ) / 9.9499 )

P ( Z > 5.4774 )

P ( X > 164.5 ) = 1 - P ( Z < 5.4774 )

P ( X > 164.5 ) = 0 ≈ 0%

Part c)

Sampling distribution P is approximately normal if np ≥ 10 and n (1-p) ≥ 10

n×p = 1100×0.1 = 110

n×(1 - p ) = 1100×(1 - 0.1) = 990

Mean ⇒ p = 0.1

Standard deviation = p(1 - p)/n = 0.009045

X ~ N ( µ = 0.1 , σ = 0.009045 )

P ( X < 0.08 )

Z = (0.08 - 0.1)/0.009045

Z = -2.2112

P ( ( X - µ ) / σ ) < ( 0.08 - 0.1 ) / 0.009045 )

P ( P < 0.08 ) = 0.0135 ≈ 1.35%

Thus, the probability for part a is 14.56%, for part b is 0, and for part, c is 1.35%.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

The probability of a chance event is a number between 0 and 1 that expresses the likelihood that an event would occur.

As a general rule in probability, we have:

The above represents the range of a valid probability (both inclusive).

This also represents the likelihood that an event would occur

Hence, the words that complete the blank are likelihood and would.

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Answer:

C i think

Step-by-step explanation:

Answer:

y varies as the x², y=200 when x=5

Step-by-step explanation:

y=(k)x

200=(k)5

200/5=40

therefore; y= -120 because

y=(40)-3

y=-120

Answer:

A 45/28

Step-by-step explanation: because a tangnt  means a a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.  so 45 and 28 are on it so it has to be A

The height of a person is 5.2ft in centimeter: 158.49cm

So, the conversion of measurement from the unit feet to centimeters is provided by the feet-to-centimeter calculator.

Approximately 30.48 cm makes up one foot.

1 ft = 30.48 cm

Therefore, 5.2 feet equals 5.2 x 30.48 centimeters.

5.2 feet is therefore equal to 158.49 cm in centimeters.

Hence, the height of a person who is 5.2 feet tall to centimeters is 158.49cm.

To learn more about Factor click on the link

brainly.com/question/25829061

#SPJ1

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

learn more on set here: https://brainly.com/question/29484130

#SPJ1

The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

To learn more about Proportion :

https://brainly.com/question/1496357

#SPJ11

Answer:

Step-by-step explanation:

B

Answer:

Still don't get the question.

Step-by-step explanation:

8. 2(10-4) = 2 x 10 - 2 x 4

2(6) = 20-8

12 = 12

9. 7(8 - 5) = 7 x 8 - 7 x 5

7(3) = 56-35

21 = 21

Why does a(b - c) = ab - ac?

Times both the b and the c in the bracket by a to get

ab - ac

Mark brainliest please.

The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

The two odd integers which are as described in the task content where the first odd integer is added to 3 times the next consecutive odd integer and the sum is 66 are; 15 and 17.

It follows from the task content that the odd integers which satisfy the given condition are to be determined.

Let, x = the first odd integer.

x +2 = the next consecutive odd integer.

Therefore, we have;

x + 3(x+2) = 66

x + 3x + 6 = 66

4x = 66 -6

4x = 60

x = 15.

On this note, the required odd integers are; 15 and 15 +2 = 17.

Ultimately, The two odd integers which are as described in the task content where the first odd integer is added to 3 times the next consecutive odd integer and the sum is 66 are; 15 and 17.

Read more on word problems;

https://brainly.com/question/13818690

#SPJ1

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

fun fact very very sad fact mcdonalds doesn't have fresh food and you know why there ice cream machine is down is because they don't clean it          Step-by-step explanation: tick tock told me

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

Learn more about Pythagorean formula here:

https://brainly.com/question/28981380

#SPJ1

Answer: Answer choice B

Step-by-step explanation:

This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

a = 1, b = -2, and c = -6

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

Read more on quadratic functions here: brainly.com/question/14201243

#SPJ1

Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5