7miles per 1/3 gallon, how many miles per gallon

Answer:

9.36 / 0.52 = 18

Step-by-step explanation:

Divide them.

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 1 +4}{2}~~~ ,~~~ \cfrac{ 3 +6}{2} \right) \implies \left(\cfrac{ 5 }{2}~~~ ,~~~ \cfrac{ 9 }{2} \right)\implies \left(2\frac{1}{2}~~,~~4\frac{1}{2} \right)\)

Answer:

Answer on a graph

Answer:

obtuse scalene since 6 square plus 5 square is 36+25= 61, and 8 squared is 64, so 61<64, and if the legs are less than the hypotenuse, it would be an obtuse triangle. all the side are also unequal so it's a scalene.

A sample in which every element in the population has an equal chance of being selected is called a random sample.

A random sample is a sampling method where each element in the population has an equal and independent chance of being selected. This means that every individual or item in the population has the same probability of being included in the sample.

Random sampling is widely used in statistical analysis because it helps to ensure that the sample is representative of the population, making it more likely to draw accurate conclusions and make reliable inferences.

By using a random sample, researchers can minimize bias and increase the generalizability of their findings. Random sampling allows for the selection of individuals or items without any predetermined pattern or preference, ensuring that the sample is as unbiased and representative as possible.

This method is commonly employed in various fields, including market research, social sciences, and medical studies, to obtain reliable and valid results.

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Answer:

$20.64

Step-by-step explanation:

When you take 40% of 33, you are left with 19.8. You then translate the sales tax into 84 cents and add it to 19.8. That will give you $20.64 as the after tax price.

Answer:

B'(-3, 2)

Step-by-step explanation:

The rule for a reflection over the y-axis is (x, y) → (-x, y)

This means that the x-values change while the y-values stay the same.

B(x, y) → (-x, y)

B(3, 2) → (-3, 2)

B'(-3, 2)

Hope this helps!

Answer:

(a) 1/2

(b) $1,080,000

(c) 72°

Step-by-step explanation:

We have to find the ratio in which the money is being distributed

To do this first add up the individual values in the ratio 5:3:2 which represents the ratio C:D:E for apportioning savings

5 + 3 + 2 = 10

Chris's share = 5/10 = 1/2

Danny's share = 3/10

Evelyn's share = 2/10 = 1/5

Answers

(a) Fraction of Danny's share = 1/2

(b) If Danny is to receive $540,000 and his share is 1/2 of total savings then the total savings = 2 x 540,000 = $1,080,000

(c) The ratio of the angles in a pie chart will be the same as the ratio of the division. A pie chart shows the relative shares as part of a circle. Since a circle contains 360° , the angle of the sector that represents Evelyn's share will be 1/5 x 360 = 72°

#1

\(\\ \sf\Rrightarrow -2x=-3x+14\)

\(\\ \sf\Rrightarrow -2x+3x=14\)

\(\\ \sf\Rrightarrow x=14\)

#2

\(\\ \sf\Rrightarrow x^2-3y+12\)

\(\\ \sf\Rrightarrow 5^2-3(5)+12\)

\(\\ \sf\Rrightarrow 25-15+12\)

\(\\ \sf\Rrightarrow 10+12\)

\(\\ \sf\Rrightarrow 22\)

The probability that at least two of the balls have the same number is 27.40%

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

Probability requested is equivalent to:

P(at least 2 have same number) = 1 - P(no 2 have the same number)

P(no 2 have same number) = No. of ways to succeed / No. of possible outcomes

No. of ways to succeed = 90P8

No. of possible outcomes = 90^8

No. of ways to succeed =

nPr = n! / (n-r)!

90P8 = 90! / (90-8)!

90P8 = 90! / (82)!

90P8 = 90*89*88*87*86*85*84*83*82! / [(82)!

90P8 = 90*89*88*87*86*85*84*83

90P8 = 3.13x10^15

P(no 2 have same number) = 3.13x10^15 / 90^8

P(no 2 have same number) = 0.73

P(at least 2 have same number) = 1 - P(no 2 have the same number)

P(at least 2 have same number) = 1 - 0.73

P(at least 2 have same number) = 0.2740 = 27.40%

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Answer:

hi

Step-by-step explanation:

what is this?

In a paired design, each pair of observations does not necessarily consist of measuring the same individual twice. Instead, a paired design involves matching pairs of individuals or units based on certain criteria or characteristics and then measuring each individual in the pair under different conditions or at different time points.

This design is often used to compare the effects of different treatments or interventions within the same individuals or to control for individual-specific factors. In a paired design, the pairing could be based on various factors such as age, gender, pre-existing conditions, or other relevant characteristics. For example, in a study evaluating the effectiveness of a new medication, researchers may pair individuals with similar characteristics (e.g., age, gender, severity of the condition) and then administer the new medication to one individual in each pair while providing a placebo to the other individual. By measuring the outcomes within each pair, the researchers can directly compare the effects of the medication and the placebo within the same individuals.

The key aspect of a paired design is that the pairs are matched based on certain criteria, and each pair represents a unique combination of individuals. This allows for a more controlled comparison within the pairs and helps minimize the influence of individual-specific factors on the outcomes of interest.

In summary, a paired design involves matching pairs of individuals based on certain characteristics and comparing the outcomes within each pair. It does not require measuring the same individual twice but rather focuses on comparing different conditions or treatments within matched pairs of individuals.

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f'(2) = -112. To find f'(2), the derivative of f(x) with respect to x, we can use the product rule since f(x) is the product of x^5 and g(x).Let's start by finding the derivative of g(x):

g'(x) is the derivative of g(x). Given that g(2) = -3 and g'(2) = 4, we have some information about g(x) at x = 2. Now, let's use the product rule to find f'(x): f(x) = x^5 * g(x). Using the product rule: f'(x) = (x^5 * g'(x)) + (5x^4 * g(x)). Now, let's evaluate f'(2) using the given information: f'(2) = (2^5 * g'(2)) + (5 * 2^4 * g(2))

Substituting the values we know: f'(2) = (32 * 4) + (5 * 16 * -3). Simplifying: f'(2) = 128 - 240, f'(2) = -112. Therefore, f'(2) = -112.

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Answer: False

Point Z is part of the sequence XYZ, so that means point Z is part of plane XYZ.

Answer:

A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.

Step-by-step explanation:

The measures of the angles of in a triangle should correspond to the length size of the side opposite each angle in a triangle.

In simple terms, this means that the larger the measure of an angle, the longer the length of the side opposite that angle. Therefore, the smallest measure of an the 3 angles in the triangle should correspond with the shortest length.

Therefore, the triangle with the correct side length would be "A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees." Check the attachment below to see how each side length corresponds with each angle opposite them.

Answer:

D

Step-by-step explanation:

your welcome

Formula. Binomial theorem:

\((x + y)^ n = C(n,0) x^{ny}^{0} + C(n,1)x^{(n-1)} \ \ y + C(n,2)x^{(n-2)} \ y^2 + ...+ C(n,n+1)xy^{(n-1)} + C(n,n)x^{0y}^n\)

So, for n = 5:

\((x + 2)^5 = C(5,0)x^5 + C(5,1)x^4 \ . \ 2 + C(5,2) x^3 \ . \ 2^2 + C(5,3)x^2 \ . \ 2^3 + C(5,4)x \ . \ 2^4 + C(5,5) \ . \ 2^5\)

So, the third term is \(\bold{C(5,2)x^3 2^2}\)

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:

maybe $825

Step-by-step explanation:

Im not sure but I think Its accurate

Answer:

 x<15

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x+5<50

Step 2: Subtract 5 from both sides.

3x+5−5<50−5

3x<45

Step 3: Divide both sides by 3.

3x /3  <  45 /3

Answer: True

Step-by-step explanation:    

The number is 8, which is the twice of difference of a number and 5 equals to 6.

An articulation is a mix of numbers, factors, and numerical tasks, like expansion, deduction, increase, and division, among others. When evaluated, it is a mathematical expression that represents a value or set of values.

As per question given that; twice the difference of a number (x) and 5 is equal to 6 can written algebraically as;

⇒ 2 (x - 5) = 6,    (Let x is the number)

⇒ (x - 5) = 6/2

⇒ (x - 5) = 3

⇒ x = 3 + 5

⇒ x = 8

So, the number is 8.

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Answer:

13x I think I could be wrong if there are answer choices look at them and make sure.

Step-by-step explanation:

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

The conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).

To show that the argument is invalid using the model universe method, we need to find a counterexample where the premises are true, but the conclusion is false.

Let's consider the following interpretation:

Domain of discourse: {1, 2}

A(x): x is even

B(x): x is odd

Under this interpretation, the premises "(x)(A(x) ∧ B(x))" and "(∃x)A(x)" are true because all elements in the domain satisfy A(x) ∧ B(x), and there exists at least one element (e.g., 2) that satisfies A(x).

However, the conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).

In this counterexample, the premises are true, but the conclusion is false, demonstrating that the argument is invalid using the model universe method.

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The given variance of a population equals 3,600. the answer probability  is (a) 7.84 or less.

There is a 0.95 probability that the sample mean will provide a margin of

Variance

(σ²) = 3600

Sample size

(n) = 225

Confidence interval = 0.95

Probability = 0.95.

For a 0.95

probability,

α = 1 - 0.95

= 0.05/2

= 0.025

(using the Z-table)

Now, z0.025 = 1.96

Margin of error (E) = z0.025 *

(σ/√n)E = 1.96 * (60/15

)E = 7.84

(a) 7.84 or less

Since we have calculated the margin of error (E) by using the formula of margin of error

.E = 1.96 * (σ/√n)

= 1.96 * (60/15)

= 7.84 or less.

Therefore, the answer is (a) 7.84 or less.

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Steps per mile is a measure of how many steps a person takes to walk one mile, Which is 2000 steps.

It takes over 2,000 steps to walk one mile and 10,000 steps would be almost 5 miles, as the average person has a stride length of approximately 2.1 to 2.5 feet.

The number of steps required to walk a mile can vary from person to person depending on their height, weight and stride length. And Generally, taller people with longer strides take fewer steps per mile, while shorter people with shorter strides take more steps per mile.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

1, and that is 27

Step-by-step explanation:

4(x-5)=3x+7

4x-20=3x+7

4x-3x-20-7=0

x-27=0

x=27

OB be x

\(\\ \sf\longmapsto AO\times OB=CO\times OD\)

\(\\ \sf\longmapsto (14-x)x=8(3)\)

\(\\ \sf\longmapsto 14x-x^2=24\)

\(\\ \sf\longmapsto x^2-14x+24=0\)

\(\\ \sf\longmapsto x^2-12x-2x+24=0\)

\(\\ \sf\longmapsto x(x-12)-2(x-12)=0\)

\(\\ \sf\longmapsto (x-2)(x-12)=0\)

\(\\ \sf\longmapsto x=2\:or\:x=12\)

Answer:

Solution of a System. In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.

Answer: A) The ordered pairs must lie near the graphed equation