Evaluate the expression in Q on the right side of the formula:Let Q=500; Total Revenues =4.3Q
What might we call the algebraic coefficient "4.3" practically? What might the variable "Q" be if this is a formula for "Total Revenues"? 5. Evaluate the following expression: Let F=5,v=1.5,Q=20; F+vQ

Answer:

4(−2x + 4) = -8x + 16

Step-by-step explanation:

4(−2x + 4) = [?]x + [ ]

To find what number is in the blanks, use the distributive property.

4(−2x + 4) = -8x + 16

Hope this helps!

Answer:

The value of y from the second equation is substituted back into the first equation. What is the resulting equation?

✔ 2x + 3(8 – 3x) = 3

What is the value of x?

✔ 3

What is the value of y?

✔ –1

The given 95% confidence interval is (51.3, 54.7) and the null hypothesis is H0:

µ = 50

while the alternative hypothesis is Ha: µ ≠ 50. We have to determine the P-value for the test.

Therefore, the correct answer is (b)

The answer is (b) the P-value for the test is less than 0.05. Since the null hypothesis is that the population mean is 50, and the given confidence interval doesn't contain the value 50, the null hypothesis is rejected.

We can reject the null hypothesis at the 5% level since 50 is not in the 95% confidence interval.Hence, the null hypothesis is rejected with 5% significance level i.e. This implies that the P-value for the test is less than 0.05. the P-value for the test is less than 0.05.

To know more about value visit :

https://brainly.com/question/30145972

#SPJ11

Based on these results, we would conclude that on average, the population of all ferrets tend to decrease in weight when exposed to the virus.

Based on the results of the hypothesis test in part (b) and the confidence interval in part (c), we can conclude that the population mean weight of ferrets tends to decrease when exposed to the virus.

In part (b), we found that the p-value was less than the significance level of 0.05, which means that we reject the null hypothesis that the mean weight of ferrets is not affected by the virus. This indicates that there is strong evidence that the virus has a significant effect on the weight of ferrets.

In part (c), we constructed a 95% confidence interval for the difference between the mean weight of ferrets before and after exposure to the virus. The interval was (−0.643,−0.057), which does not contain 0. This means that we are 95% confident that the true difference between the mean weights is negative, indicating that the weight tends to decrease after exposure to the virus.

Therefore, based on these results, we would conclude that on average, the population of all ferrets tend to decrease in weight when exposed to the virus.

To learn more about virus visit:

https://brainly.com/question/1427968

#SPJ11

The range of the data is R = 9

Given data ,

Let the range of the data be R

Now , the value of R is R = maximum value - minimum value

Let the data be A = { 5, 9.5, 3, 12, 6, 8, 4.5, 10, 6.5 }

The range of a set of data, we need to subtract the minimum value from the maximum value.

The minimum value in this set of data is 3 (which occurs in the third week), and the maximum value is 12 (which occurs in the fourth week).

Therefore, the range is:

range = maximum value - minimum value = 12 - 3 = 9

Hence , the value of the range for this set of data is 9

To learn more about domain and range click :

https://brainly.com/question/28135761

#SPJ1

Since the player makes 95 out of 140 free throws, the probability that he makes the next free throw is:

Answer: 67.86%

The distance between the two balloons is 999 feet

Balloon B is 999 feet from balloon A.

We have the information available from the question is:

Charlie is watching hot air balloons. balloon a has risen at a 56° angle. balloon b has risen at an 81° angle.

and, the distance from the balloon a to the ground is 1,200 feet.

We have to find the  how far is balloon b from balloon a.

Now, According to the question:

From the diagram,

Let the height from balloon A to the ground be AG and the height from balloon B to the ground be BD and the point where Charlie is be C

AG = 1200 feet

AG = BD = 1200 feet

The distance between the two balloons is equal to GD

GD = GC + CD

To find GC

Consider ΔAGC

AG = 1200 feet

GC = ?

From the question, "Balloon A has risen at a 56° angle"

∴ x° = 56°

Using the formula

\(tan(x^ \circ )=\frac{AG}{GC}\\ \\tan(56^ \circ)=\frac{1200}{GC}\\ \\GC=\frac{1200}{tan(56^ \circ)}\)

GC = 809.41 feet

Now, In the triangle BCD

We have to find the CD

BD = 1200 feet

From the question, "Balloon B has risen at a 81 degree angle"

y° = 81°

Using the formula:

\(tan(x^ \circ )=\frac{BD}{CD}\\ \\tan(81^ \circ)=\frac{1200}{CD}\\ \\CD=\frac{1200}{tan(81^ \circ)}\)

CD = 190.06 feet

Now, recall that GD = GC + CD

GD = 809.41 feet + 190.06 feet

GD  = 999.47 feet

GD ≅ 999 feet

Learn more about Distance at:

https://brainly.com/question/33716087

#SPJ4

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

To know more about probability follow the link:

https://brainly.com/question/24756209

#SPJ11

1500 is  interest will she pay her dad back at the end of the year .

What does compound and simple interest mean?

Typically, simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over the course of a given period.

                           Borrowers are required to pay interest on interest in addition to principal because compound interest accrues and is added to the total amount of interest from earlier periods.

The loan amount is $12,500

The interest rate is 3%

And, the time period is 4 year

so,

S.I. = PRT/100

     = 12500 * 3 * 4/100

     = 1500

Learn more about simple interest

brainly.com/question/25845758

#SPJ1

Answer:

11

Step-by-step explanation:

16 - 4\(\sqrt{5}\) + 4\(\sqrt{5}\) - 5

= 16 - 5

= 11

Step-by-step explanation:

(gof)(x) is basically g(f(x))

= 4 × (3x - 1)² + 9

= 4 × (9x² - 6x + 1) + 9

= 36x² - 24x + 4 + 9

= 36x² - 24x + 13

The value of the standard error of the mean in each of the following cases:

a. The population size is infinite = 1.4142

b. The population size is N = 50,000 = 1.4135

c. The population size is N = 5000 = 1.4073

d. The population size is N = 500 = 1.343

The standard error is a statistical technique used to measure variability. SE is the abbreviation. A statistic's or parameter estimate's standard error is the standard deviation of its sample distribution. It can be defined as an approximation of that standard deviation.

Standard error calculation:

σ = 10

n = 50

A) when size is infinite, the standard deviation of the sample mean is given by the formula;

σ_x' = σ/√n

Thus,

σ_x' = 10/√50

σ_x' = 1.4142

B) size is given, thus, the standard deviation of the sample mean is given by the formula;

σ_x' = (σ/√n)√((N - n)/(N - 1))

Thus, with size of N = 50,000, we have;

σ_x' = 1.4142 x √((50000 - 50)/(50000 - 1))

σ_x' = 1.4142 x 0.9995

σ_x' = 1.4135

C) at N = 5000;

σ_x' = 1.4142 x √((5000 - 50)/(5000 - 1))

σ_x' = 1.4073

D) at N = 500;

σ_x' = 1.4142 x √((500 - 50)/(500 - 1))

σ_x' = 1.343

Learn more about standard error:

https://brainly.com/question/15858647

#SPJ4

Answer:

The vertex is (4,-4)

Step-by-step explanation:

Plug in x=4 in the equation

Answer:

Step-by-step explanation:

Refer to attached

Let:

T = number of toppings

P(T) = total price Sean will pay

B = Sean's budget

since the cost of the pizza cannot exceed Sean's budget:

The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

\(\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}\)

Part b.

Consider V(3X + 2Y)

\(\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}\)

Part c.

Consider P(3X + 2Y < 18)

A normal random variable is also linear combination of two independent normal random variables.

\(3 X+2 Y \sim N(18,77)\)

Thus,

\(P(3 X+2 Y < 18)=0.5\)

Part d.

Consider P(3X + 2Y < 28)

\(Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}\)

\(\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}\)

Therefore, the values for the given normal random variables are found.

To know more about the normal random variables, here

https://brainly.com/question/23836881

#SPJ4

The correct question is-

X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:

a. E(3X + 2Y)

b. V(3X + 2Y)

c. P(3X + 2Y < 18)

d. P(3X + 2Y < 28)

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

Read more about two-tailed test here:

https://brainly.com/question/4621112

#SPJ1

Because of this, we need to choose 16 integers in such a way that we can ensure that when they are divided by 15, at least two of them will provide the same residual.

This is further explained below.

Generally,  If you divide a number by 15, the result is a fraction. There are 15 remainders that might occur, and they are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.

That is to say, if we choose one number and divide it by 15, there is a chance that the remainder may be any of the 15 (0 reminders 14). Therefore, if we choose 15 numbers, we will have the opportunity to pick 15 unique reminders, ranging from 0 to 14.

In conclusion, if we select one more integer, that is we pick 16 integers, then at least two of them would have the same reminder since there are only 15 reminders and 16>15, and by the pigeonhole principle.

Because of this, we need to choose 16 numbers such that we can guarantee that at least two of them will provide the same remainder when they are divided by 15.

Read more about integers

https://brainly.com/question/15276410

#SPJ4

Step-by-step explanation:

the domain is from -6 to 6 [-6,6]

Answer:

domain and range {-6, 6}

Step-by-step explanation:

:)

Answer:

4(x-5)+(3x+15)-5x

4x-20+3x-20+15=0

collect like terms

4x-5x+3x-20+15=0

2x-5=0

2x÷2=5÷2

x=5÷2

Answer:

a= -4

b=1

Step-by-step explanation:

Midpoint=(1,-3)=(x,y)

A=(-6,-7)=(x1,y1)

Let ,the coordinates of B be 'a and b' .

So,

B=(a,b)=(x2,y2)

Using ,midpoint formula,

(x,y)=(x1+x2\2 , y1+y2 \2)

or, (1,-3)=(-6+a\2 , -7+b \2)

Now,

Taking the corresponding sides,

or, 1 =-6+a/2

or, 1*2=6+a

or, 2=6+a

or, 2-6=a

a=-4

Then,

-3= -7+b/2

or, -3*2= -7+b

or, -6 =-7+b

or, -6+7=b

b=1

Answer: (8,1)

Step-by-step explanation:

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

for more such question on intended visit

https://brainly.com/question/31252264

#SPJ8

Answer :

4x + 9y = 27

Explanation :

Multiply the equation with 9

9( y = -4x/9 + 3 )

9y = -4x + 27

4x + 9y = 27

Step-by-step explanation:

-4 + 14 - 24 = -9t

-24 = -9t

divide both sides by -9

t = 14/9

Answer:

Height of cylinder = 12 cm

Step-by-step explanation:

Given:

Radius of cylinder = 6 cm

Curved surface area of cylinder = [2/3][Total surface area of cylinder]

Find:

Height of cylinder

Computation:

Curved surface area of cylinder = [2/3][Total surface area of cylinder]

2πrh = [2/3][2πr(h + r)]

h = 2h/3 +[2/3][6]

h - 2h/3 = 4

[3h - 2h] / 3 = 4

h = 12

Height of cylinder = 12 cm

Answer:

Step-by-step explanation:

Answer:

3x^2+17x+20

Step-by-step explanation:

Answer: x = y

y = -4

y = 3x + 2

x = 8

Simplify: (-3a2b5)2

Find (x - 4)2`Find the product: (3x + 5)(4x - 1)

Use FOIL:

F: 3x*4x=12x^2

O: 3x*-1 = -3x

I: 5*4x = 20x

L: 5*-1 = -5

Combine these products to get:

12x^2+17x-5

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

Which of the following is the equation of a vertical line?

x = y

y = -4

y = 3x + 2

x = 8

Answer x=8 ; The graph is the set of points where x=8.

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

Simplify: (-3a2b5)2

=(-3a^2b^5)(-3a2b^5)

=9a^4b^10

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

Find (x - 4)^2

=(x-4)(x-4)

Use FOIL to get:

x^2-4x-4x+16

=x^2-8x+16

Step-by-step explanation:All work needed to arrive at a correct answer. If it is not a question that requires work, you will need to provide a complete explanation of how you determined the correct answer. (Explanations for those problems not requiring work must demonstrate your understanding of the concept.)

Answer:

see below

Step-by-step explanation:

y = -13x+14

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -13 and the y intercept os 14

If you mean y = -1/3x + 1/4

The slope is -1/3 and the y intercep is 1/4

Answer:

-1/3 is the slope because the equation is in a form of y =mx + c, where m is the slope

Step-by-step explanation: