A model car is drawn at a scale of 21 to 1. If the model car is 9. 2in. Long, how long is the actual car in feet?

Answer:

0.53

Step-by-step explanation:

You just have to know the placements.

the answer is 124

Step-by-step explanation:

when calculating the angles of a triangle, all angles need to add up to 180 total. So take 180 and substract 28 from it twice to find the remainder.

Answer:

i think its 58?

Step-by-step explanation:

The mean of this probability distribution is 1.55.

To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:

mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
    = 0 + 0.37 + 0.32 + 0.78 + 0.08
    = 1.55

Therefore, the mean of this probability distribution is 1.55.

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The required value of partial derivative of the given function is,

fy(3,1/6) ≈ 1.607.

To find fy,

We have to take the partial derivative of f with respect to y while holding x constant.

Using the chain rule, we have,

⇒ f(x, y) = y sin⁻¹(xy)

⇒ ∂f/∂y = sin⁻¹(xy) + y d/dy[sin⁻¹(xy)]

             = sin⁻¹(xy) + y / √(1 - (xy)²)  x

So, to find fy(3,1/6),

Substitute x = 3 and y = 1/6,

⇒ fy(3,1/6) = sin⁻¹(3/6) + (1/6) / √(1 - (3/6)²) x 3

                 = sin⁻¹(1/2) + 1/2

                 ≈ 1.107 + 0.5

                 ≈ 1.607

Therefore,

fy(3,1/6) ≈ 1.607 is the required value.

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Answer:

1

Step-by-step explanation:

there are 31 days in October so if he loses one each day he loses 31

For a production company of total 24 workers, who works in different shifts. The probability that all 6 workers are selected from the same shift is equals to the 0.0019.

We have a company with faculty working in different shifts. Total number of workers in company = 10 + 8 + 6 = 24

Number of workers work in day shift = 10

Number of workers work in swing shift= 8

Number of workers work in graveyard shift = 6

Now, 6 workers are randomly selected from among 24. That is any of group of 6 can be selected. Number of possible ways to select 6 out of 24 = ²⁴C₆=134,596.

Number of ways to select a group of 6 workers from morning shift = ¹⁰C₆ = 210

Number of ways to select a group of 6 workers from swing shift = ⁸C₆= 56

Number of ways to select a group of 6 workers from graveyard shift = ⁶C₆ = 1

Now, probability to select the group of 6 from morning shift = \(\frac{210}{134596}\)

Probability to select the group from morning shift = \(\frac{56}{134596}\)

Probability to select the group from graveyard shift=\(\frac{1}{134596}\).

Total probability for selecting a group of 6 workers from same shift \(= \frac{210}{134596} + \frac{56}{134596} + \frac{1}{134596} \)

\(= \frac{267}{134596}\)

= 0.00198

Hence, required probability is 0.0019.

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Complete question:

a production company factory 10 workers on day shift , 8 workers on swing shift and 6 workers on graveyard shift. A quality control team select 6 workers for in depth interviews.. Suppose the selection made in such a way that any particular group of 6 workers has same chance to selecting as does any other group( drops 6 slips without replacement from among 24 )

what is the probability that all 6 workers are selected from the same shift, again, assume the employees are selected sequentially and not all at once. round your answer to four decimal places. save your answer as p all same.

The origin's coordinates are as follows: (0, 0). A pair of ordered numbers contains one point's coordinates in the coordinate system.

To accomplish this, convert the total number of liters of fuel you purchased into gallons (multiply by 0.219). the initial mileage is subtracted from the total. Then, multiply the distance traveled by the number of gallons of fuel used. Miles per gallon are provided. The concept of proportionality refers to a graphed proportional relationship in which the independent variable is represented by x and the dependent variable by y.

Independent variables describe the input values in a relationship and are typically represented by the x coordinate in the ordered pairs (x, y). When two or more parameters are directly or indirectly proportional to one another, the relationship is denoted by the symbols a=kb or a = k/b, where k denotes the direction of the relationship between the two variables.

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Answer:  the total cost of the meal is $19.35.

Step-by-step explanation

Answer:

x ≈ 7.7

Step-by-step explanation:

Using Pythagoras' identity on the right triangle on the right side

let the third side be y , then

y² + 4² = 10²

y² + 16 = 100 ( subtract 16 from both sides )

y² = 84

Using Pythagoras' identity on the right triangle on the left side

x² + 5² = y²

x² + 25 = 84 ( subtract 25 from both sides )

x² = 59 ( take the square root of both sides )

x = \(\sqrt{59}\) ≈ 7.7 ( to the nearest tenth )

Answer:

Choice C: 30 jars of honey and 9 honeycombs and Choice B: 20 jars of honey and 6 honeycombs

Step-by-step explanation:

This explanation is quite simple:

(I am going to explain how the other answers are correct to give you an idea)

Choice B:

So we know for every 10 jars [of honey], he also bring 3 honeycomb

In this case 20 jars are brought and 6 honeycombs are as well. Looking at the original problem, these numbers are simply doubled (times two/multiplied by two) Here:

10 x 2 = 20 and 3 x 2 = 6 which is reasonable!

Choice C:

So we know for every 10 jars [of honey], he also bring 3 honeycomb

This case is very similar to B, except our values are tripled.

10 x 3 = 30 and 3 x 3 = 9, which are correct and reasonable statements.

I hope this is understandable and helps! Good luck :D

I tried to explain best I could

Answer:

113 square feet

Step-by-step explanation:

Since the shape of the mosaic that the architect would be using is circular is shape, the formula to apply to solve this question is area of a circle.

The formula for the area of a circle = πr²

In the above question,Area if a circle = πr²

radius of the circle = r = 6 feet

πr² = π × 6²

113.09733553 square feet

Approximately to the next whole number ≈ 113 square feet.

Therefore, the number in square feet of tiles needed for the mosaic is 113 square feet

-1/7 is real-rational

under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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The internal rate of return on the investment for Burgundy Basins is 13.33%.

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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Answer:

C

Step-by-step explanation:

this is the answer since it involves a minus sign

Answer: 32.6%

Step-by-step explanation:

percentage is whatever number you have x100 which would move the decimal point right 2 points and in this case would move the decimal from .326 to 32.6

Amount of pretzel each person receives is 17/16 lb.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Total weight of the bag of pretzels = 34 ounce

Elisa shares this among her two sisters equally.

Share of pretzels each sister gets = 34 / 2 = 17 ounces

We need this amount in pounds.

We know that,

16 ounce = 1 lb.

17 ounces = 17/16 lb.

Hence the amount of pretzels each get is  17/16 lb.

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Answer:

1.214 or \(1\frac{3}{14}\) or \(\frac{17}{14}\)

Step-by-step explanation:

To solve this equation, first you need to the variable term isolated. You do this by adding 10 to each side. Your equation will now look like

17c = 14

Next, you will divide both sides by the 17.

Your equation now is solved, and above, I put ther three different forms for your answer: decimal, mixed number, and improper fraction.

~theLocoCoco

Answer:

Step-by-step explanation:

Formula for Circumference of a circle is 2* pi * radius

If r=16

C= 2*π*16

C=32π

Answer:

$1.08

Step-by-step explanation:

The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

First is B]

second is A

third is 96

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, we can be multiply two polynomials step by step.

Distribute each term of the first polynomial to every term of the second polynomial.

Combine like terms by adding the coefficients of the terms that have the same variables raised to the same powers.

Simplify the result by arranging the terms in descending order of the exponent of the variable.

For example, let's say you want to multiply (2x + 3) and (x - 4):

(2x + 3) * (x - 4) = 2x * x - 2x * 4 + 3 * x - 3 * 4

Simplify the terms: 2x^2 - 8x + 3x - 12

Combine like terms: 2x^2 - 5x - 12

Therefore, the product of (2x + 3) and (x - 4) is 2x^2 - 5x - 12.

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The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

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Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

Answer:

4, 7

Step-by-step explanation:

x = y + 3

y² + 12 = 4x

using the first equation in the second

y² + 12 = 4(y + 3) = 4y + 12

y² = 4y

y = 4

x = y + 3 = 4 + 3 = 7

Based on the information provided, the most reasonable choice for the sampling distribution of p^ is option A, which suggests an approximately normal distribution with μ p = 0.38 and σ p = 0.040.

The sampling distribution of p^, the sample proportion, can be approximated by a normal distribution under certain conditions. These conditions include a large sample size, n, and the assumption that the population is sufficiently large. The question provides the information that 38% of adults in the city have a certain characteristic, but it does not specify the sample size or the population size.

Given that the information provided does not indicate a specific sample size or population size, we cannot determine the exact distribution of p^ with certainty. Therefore, options B and D, which state specific values for the mean and standard deviation, cannot be concluded.

Option A suggests that the sampling distribution is approximately normal with μ p = 0.38 and σ p = 0.040. This option is reasonable if we assume that the sample size is large enough and the population is sufficiently large. In this case, the Central Limit Theorem applies, allowing us to approximate the sampling distribution of p^ as approximately normal.

Option C suggests that the sampling distribution is approximately normal with μ p = 0.38 and a very small σ p = 0.002. However, such a small value for σ p is highly unlikely in practice, as it implies an extremely precise estimate of the population proportion.

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Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

Answer:

Common ratio=1/2

Sum of first 6 terms of an A.P=31.5

Step-by-step explanation:

Let a be the first term and d be the common difference of an A.P

a=4

nth term of an A.P

\(a_n=a+(n-1)d\)

Using the formula

\(a_4=a+3d=4+3d\)

\(a_{10}=a+9d=4+9d\)

According to question

We know that

For G.P

\(\frac{a_n}{a_{n-1}}=r\)=Common ratio

\(r=\frac{4+3d}{4+9d}=\frac{4}{4+3d}\)

\(\frac{4+3d}{4+9d}=\frac{4}{4+3d}\)

\((4+3d)^2=\frac{4}{4+3d}\)

\(16+9d^2+24d=16+36d\)

\(9d^2+24d-36d-16+16=0\)

\(9d^2-12d=0\)

\(3d(3d-4)=0\)

\(d=0, d=4/3\)

Substitute the value of d

When d=0

\(r=\frac{4}{4+3d}=\frac{4}{4+0}=1\)

When d=4/3

\(r=\frac{4}{4+3\times \frac{4}{3}}=\frac{1}{2}\)

But we reject d=0 because  if we take d=0 then the terms are not consecutive terms of G.P

Sum of n terms of an A.P

\(S_n=\frac{n}{2}(2a+(n-1)d)\)

Using the formula

Substitute n=6 and d=1/2

\(S_6=\frac{6}{2}(2(4)+5\times \frac{1}{2})\)

\(S_6=31.5\)