Which is more, 6 yards or 218 inches?

Answer:

7.2 million dollars

Step-by-step explanation:

The domain of the function the complete set of possible values of the independent variable. In this case the domain includes all real numbers except 189.

From;

T(p) = 0.50 (p - 189)

When p = 203.4 million dollars

T(p) = 0.50 (203.4 - 189)

T(p) = 7.2 million dollars

Answer:

Smallest element in the set of range is -3

Step-by-step explanation:

From the given set of ordered pairs,

x-value of each pair represents the Domain of the relation.

y-value of the pair represents the Range of the relation.

Set of domain:

{0, 1, 2, 3, 4, 5, 6}

Set of Range:

{1, 3, 2, 5, 2, -3, 2}

Smallest number in the set of range = -3.

Therefore, smallest element in the set of range is -3.

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

C

Step-by-step explanation:

Answer: 24

Step-by-step explanation: 24

Simply multiply all of the fractions with the total number of marbles

48(2/3)(3/4)

Answer: y = 40

Step-by-step explanation:

we know 5x=40 so the 2 bottom angles combined are 80

so you have 2y+20=100

2y=80

y=40

The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.

Part A:

The x-intercepts represent a zero profit.

The maximum value of the graph represents the maximum profit.

The function increases up till the vertex and decreases after it.

This means that the profit increases as it reaches the peak at the vertex.

It decreases after the vertex up till it reaches zero.

On the left of the first zero and on the right of the second zero, the profits are negative.

Part B:

An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5.

Part C:

Simply, the domain is constrained by x=0.

We are obliged at x=6 .

This is because we have to avoid a negative profit.

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Answer:

(14, -2)

I could totally be wrong though, I haven't done this type of math in years.

Monthly payment for United bank = $1207.70, monthly payment for capitol bank =$1834.62. Total interest from United bank = $75600 and from capitol bank = $135000.

Total interest is determined by the addition of all the interest payments.

United bank offers mortgage at an APR of 4.2%

APR means annual percentage rate.

mortgage is offered for the period of 15 years.

initial principal amount of Marcy = $120000

we need to determine the monthly payment from United bank.

at first, we will determine the rate of interest per month.

monthly interest rate = (4.2) / (100 × 12) = 0.0035

1 year = 12 months

15 years = 15×12 = 180 months

monthly payment is calculated by the formula = [rate + (rate) / {(1+rate)∧month}⁻¹] ×principal

monthly payment = [ 0.0035 + (0.0035) / {(1+0.0035)∧180}⁻¹] ×120000

                          = $1207.70

from united bank monthly payment = $1207.70

Now we calculate the monthly payment from Capitol bank.

APR for capitol bank = 4.5%

number of years for which mortgage is issued = 25 years

number of months = 12×25 = 300.

monthly interest rate = (4.5) / (100×12) = 0.00375

monthly payment for capitol bank = [0.00375 + (0.00375) / {(1+0.00375)∧300}⁻¹] × 120000

                 = 1834.62

monthly payment from Capitol bank = $1834.62

total interest from Capitol bank = principal money × yearly interest rate × time period.

Total interest = 120000 × 4.5/100× 25

                        = $135000 for the Capitol bank

Total interest from United bank = principal amount × yearly interest × time period

            = 120000× 4.2/100 × 15

total interest from united bank   = $75600

United bank has lower total interest.

difference in monthly payment = 1834.62 - 1207.70

                                                   = 626.92 dollars

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

The solution for your question is d option

Step-by-step explanation:

12x+30=6

12x+24

Answer:

56

Step-by-step explanation:

Answer:

\(\textsf{(a)} \quad \boxed{9a-3}\)

\(\textsf{(b)} \quad \boxed{-9a-3}\)

\(\textsf{(c)} \quad \boxed{-9a+3}\)

Step-by-step explanation:

Given function:

\(f(x) = 9x - 3\)

Part (a)

To find f(a), substitute x = a into the function:

\(\implies f(a)=9a-3\)

Part (b)

To find f(-a), substitute x = -a into the function:

\(\implies f(-a)=-9a-3\)

Part (c)

To find -f(a), first substitute x = a into the function:

\(\implies f(a)=9a-3\)

Then make the function negative:

\(\begin{aligned}\implies -f(a)&=-(9a-3)\\&=-9a+3 \end{aligned}\)

The value of the discount that will be give for the doll is $54.

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

From the information, it should be noted that there's a 15% discount. The value of the discount will be:

= 15% × $360

= $54

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A Barbie doll costs $360 and has a 15% discount. How much is the discount?

Answer: Answer=C

Step-by-step explanation:

The equation for the red graph g(x) is -x² + 2

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

Since the red graph g(x) has the same shape as the blue graph f(x) = x^2, we know that the equation for g(x) must also be of the form:

g(x) = a (x - h)² + k, where (h,k) is the vertex of the parabola and a is a scaling factor that determines the shape and orientation of the parabola.

We know that the red graph g(x) passes through the point (0, 2), which means that g(0) = 2.

Substituting x=0 into the equation for g(x), we get:

g(0) = a (0 - h)² + k = ah² + k = 2

Since the vertex of the parabola is on the y-axis (since it passes through the point (0, 2)), we know that h = 0.

Substituting h=0 into the above equation, we get:

a(0²) + k = 2

k = 2

So we now know that the vertex of the parabola is at (0,2).

To find the value of a, we can use another point on the graph.

For example, we can use points (1,1) since it lies on both the blue and red graphs.

Substituting x=1 and y=1 into the equation for g(x), we get:

g(1) = a(1 - 0)² + 2 = a + 2 = 1

Solving for a, we get:

a = -1

Now,

The equation for the red graph g(x) is:

g(x) = -1(x - 0)² + 2 = -x² + 2

Thus,

The equation for the red graph g(x) is -x² + 2

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Step-by-step explanation:

So one's chance of getting a number greater than 3 is 3 chances out of 6 numbers that could be rolled or 1/2. Then we determine what the chances are of getting an ODD number. That includes 1, 3, & 5. So one's chance of getting an odd number is 3 chances out of the 6 numbers on the die, which is also 1/2.

Answer: 22.4402

Step-by-step explanation:

Answer:

84.4% of 23 is 19.412.

Step-by-step explanation:

Let the unknown number be x.

Now, 84.4% of x = 19.412.

∴ (84.4 ÷ 100) × x = 19.412.

By simplifying the equation,

x = (19.412 × 100) ÷ 84.4

x = 1941.2 ÷ 84.4

∴ x = 23

Thus, 84.4% of 23 is 19.412.

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Answer:

Domain: x ≥ -5

Range: y ≥ -2

Step-by-step explanation:

The domain are the set of x-values of the function that are plotted on the x-axis. The domain of the graph given are x-values that are equal to or greater than -5.

Therefore:

✅Domain: x ≥ -5

The range from the graph given the y-values plotted on the y-axis against their corresponding x-values that are equal to or greater than -2.

Therefore:

✅Range: y ≥ -2

Answer:

x=24

Step-by-step explanation:

Use Pythagorean Theorem to solve for x.

7^2+x^2=25^2

49+x^2=625

-49       - 49

x^2=576

sqrt sqrt

x=24

IT'S 32 BECAUSE ALL YOU HAFTA DO US ADD.

(a)  the probability of generating 999999 is \((1/10)^6\)

(b) the probability of generating 703928 is \((1/10)^6\)

(c) the probability of generating a sequence of six identical digits is \((1/10)^6\)

(d)  the probability of generating a sequence with no identical digits is  15,120/1,000,000.

(e)  the probability of generating a sequence with exactly one repeated digit is\(10 * 6 * (9^4).\)

Probability is described as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

The probability of generating a sequence with no identical digits is calculated as  (10/10) * (9/10) * (8/10) * (7/10) * (6/10) * (5/10) = 15,120/1,000,000.

We start by choosing  the digit to be repeated, which can be done in 10 ways and the next thing is to choose the position of the repeated digit, and can be done in 6 ways.

We then see that remaining four positions can be filled out with any of the other 9 digits and this can also be   done in \(9^4\) ways.

So we can conclude that the number of possibilities in this case is \(10 * 6 * 9^4.\)

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Answer:

5 units

Step-by-step explanation

Answer:

3

Step-by-step explanation:

I was too lazy to provide an explanation

The even numbers in the box is 2 and 4. So

The total possible outcomes are 1,2,3,4, 5. So,

The formula for the probability is,

Substitute the values in the formula to obtain the probabiliy for the even number.

So answer is 2/5.

Answer:

y=3x-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

A group of volunteers is randomly assigned to two groups:

Group 1: watch a 5-minute video explaining good strategies for completing the mazes.

X[bar]₁ = 11.98, S₁ = 8.69, n₁ = 43

Group 2: watch a 5-minute video of other people successfully completing the mazes, but with no explanation given.

X[bar]₂ = 9.15, S₂ = 7.75, n₂ = 52

After watching the videos the volunteers were given a set of pencil and paper mazes to resolve and the time, in minutes, it took them to resolve the mazes was measured.

a)

An observational study is one where the investigator has no control or intervenes on it. He just defines the variable of interest and merely collects and documents the information. These types of studies are usually made as precursors to a more formal experimental study, to have an idea of what's to be expected from the population.

An experimental study or experiment is one where the investigator intervenes by defining the variable of interest and artificially manipulates the study factor. It is also one of its characteristics the randomization of cases or subjects in groups (two or more, depending on what is the hypothesis of study).

⇒ Considering these definitions, and the description of the experiment, how the volunteers were treated exactly the same except for the videos and that the assignment of the groups was random, you can classify it as an experimental study.

b.

The response variable is the one that was measured by the researchers.

X: Time it takes the volunteer to complete the paper mazes.

This variable is quantitative continuous.

The predictor variable is the variable suspected to modify the response variable:

Y: Type of video assigned to the volunteer. Categorized: "Video on good strategies to solve mazes" and "Video showing people solving mazes"

This variable is a qualitative categorical.

If you want to compare the times it takes the volunteers of both groups the best is to do so trough the population means, so the parameter of interest is: μ₁ - μ₂

The claim is that there is no difference between the times that it takes people to complete mazes after watching either video so the hypotheses are:

H₀:  μ₁ - μ₂=0

H₁:  μ₁ - μ₂≠0

c.

Assuming X[bar]₁≈N and X[bar]₂≈N (since both samples n₁ and n₂ are large enough you can approximate the distribution of the sample means using the central limit theorem)

(X[bar]₁-X[bar]₂)≈N(μ₁-μ₂;σ₁²/n₁+σ₂²/n₂)

The estimation of the variance σ₁²/n₁+σ₂²/n₂ is:

V(X)= \(\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} = \frac{(8.69)^2}{43} +\frac{(7.75)^2}{52}= 2.91\)

Standard error= √V(X)= √2.91= 1.706

d.

(X[bar]₁-X[bar]₂)±\(Z_{1-\alpha /2}\)*\(\sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2}}\)

\(Z_{1-\alpha /2}= Z_{0.975}= 1.96\)

(11.98-9.15)±1.96*1.706

[-0.51; 6.17]minutes

e.

The 95% confidence interval contains the zero, so using this CI and at a complementary significance level of 5%, the test is not significant, which means that there is no evidence to reject the null hypothesis.

Correct option: We do not have evidence that there is a difference in population means, because the null value is inside the 95% CI.

f.

You can make two types of errors when deciding over a hypothesis test:

Type I error: Reject the null hypothesis when the hypothesis is true.

Type II error: Fail to reject the null hypothesis when the hypothesis is false.

Since the null hypothesis wasn't rejected, there is a chance that a type II error was committed.

The correct option is:

6. It is possible that we made a Type II error because this is when you fail to reject a false null hypothesis.

I hope this helps!

The value of the expression is -4

The cube root of a number can be defined as the factor multiplied by three times by itself  to get that number.

Cube root is represented using the formula, '∛'

From the information given,

c³ = -64

Take the cube root of both sides

∛c³ = ∛ - 64

c = - 4

Thus, the value of the expression is -4

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Answer:

#2. 6x3.14=1080 which is more than 18

The volume of a rectangular prism can be calculated using this formula:

Where "l" is the length of the rectangular prism, "w" is the width and "h" is the height.

In this case you can identify that:

Knowing these values, you can substiute them into the formula:

Finally, evaluating, you get:

The answer is:

The distance that Mr. Stein drove can be represented by the expression: \(140 - x\)

A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.

Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.

Then, the total distance they traveled is 140 miles.

So, the distance that Mr. Stein drove can be represented by the expression:

140 - x

Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.

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