A tank of gas cost about $32.25 on a midsize car if the tank holds 15 gallons what is the cost per gallon?

Answer:

\((-4, 1) \: and \: (-4,7)\)

Step-by-step explanation:

\(the \: shortest \: distance \: between \: two \: points \: can \: be \: used \: here \to \\ were : d = \sqrt{ (x_{2} -x_{1} ) {}^{2} + (y_{2} -y_{1} ) {}^{2} } \\checking \: for \: the \: pair \to \: (-4, 1) \: and \: (-4,7) \\ d = \sqrt{ (( - 4)-( - 4)) {}^{2} + (7 -1 ) {}^{2} } \\ d = \sqrt{ (- 4 + 4) {}^{2} + (6) {}^{2} } \\ d = \sqrt{ (0) {}^{2} + (6) {}^{2} } \\ d = \sqrt{ (6) {}^{2} } \\ \underline{ \boxed{d = 6}}\)

The man should seek a payment of $725.08

The amount of money he wants to receive can be calculated using the formula for compound interest:

A = P * (1 + r/n)^(nt)

where A = $2400 ---- final amount

P = principal

r = 6%, -- interest rate

n = 12 --- number of times the interest is compounded

t = 20, number of years (20).

So, we have

2400 = P * (1 + 6%/12)^(12 * 20)

This gives

P = 2400/3.310

Evaluate

P = 725.08

So, the man should seek a payment of $725.08

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Answer:

x = 28

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees.

50 + 2x + (3x-10) = 180

5x = 140

x = 28

The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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Answer:

\((x^2+7)(x^2-5)\)

Answer:

x=-2

Step-by-step explanation:

Distribute, add 12 to both side, then simplify

Answer: -2

Let's solve your equation step-by-step.

−2(x+6)=4x:

Step 1: Simplify both sides of the equation.

−2(x + 6) = 4x

(−2)(x) + (−2)(6) = 4x (Distribute)

−2x + (−12) = 4x

−2x − 12 = 4x

Step 2: Subtract 4x from both sides.

−2x − 12 − 4x = 4x − 4x

−6x − 12 = 0

Step 3: Add 12 to both sides.

−6x − 12 + 12 = 0 + 12

−6x = 12

Step 4: Divide both sides by -6.

−6x/−6 = 12/−6

x = −2

Answer:

2x+2x or 3x+1x

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

To see is (-1, -1) is a solution to the system, we can plug it into the system to check:

-1 = -8(-1)-9

-1 = 8-9

-1 = -1

-1 = -5(-1)-6

-1 = 5-6

-1 = -1

Both of the equations are true, therefore (-1, -1) is a solution to the system.

The value of x is x = -3.

What is solving an equation?

Finding an equation's solutions, or the values that satisfy the condition given by the equation, is known as solving an equation in mathematics. Solutions often consist of two expressions connected by an equals sign. One or more variables are marked as unknowns in order to find a solution.

Consider the given equation,

27 = (1/3)^x

This equation can be written as,

\(27 = \frac{1^x}{3^x}\)

Here 1^x

1\(27 = \frac{1}{3^x}\)

Take 3^x on numerator.

\(27 = 3^-^x\)

Now 27 can be written as,  \(27 = (3)(3)(3) = 3^3\)

⇒ \(3^3 = 3^-^x\)

Applying the exponent rule: \(a^b=a^c\) ⇒ b = c

So we get,

3 = -x

Multiply both sides by -1.

-3 = x

x = -3

Hence the value of x is x = 3.

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Answer:

-6/49

Step-by-step explanation:

this is the answer it is very easy

fish or while or you or ne or sex

Answer:

350

Step-by-step explanation:

you should cook it between 350-365

a) Mean = 1127 ; Standard deviation = 5.56

b) The county result is unusually high.

Since it aids in comprehending observations when the data is scattered, standard deviation is significant. A standard deviation of the sample would be higher the more evenly dispersed the data is.

Problems of normally distributed samples can be solved using the z-score formula.

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

(a) Find the mean and standard deviation for the number of high school graduates in groups of 1380 Americans over the age of 25.

This first question is a binomial probability distribution.

We have a sample of 1380 Americans, so .

The mean of the sample is 1127.

The probability of a success is \(= \frac{1127}{1380}=0.8167\)

The standard deviation of the sample is

\(\sqrt{1380*0.8167*0.1833}\) = 5.56

(b) Standard deviation

The national mean is 82%. So,

82%(1380)=1131.6

\(=\frac{1127-1131}{5.56}=0.827\)

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Answer:

Step-by-step explanation:

The domain and range of a linear function is always real numbers (T or F)

It is True. This is because of a couple of reasons.

    1.) You cannot divide by 0.

     2. A negative number cannot have its square root taken.

The range is determined by the domain in a linear function, and thus it must always consist of real numbers.

Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.

Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:

AAAA

AAAB

AABA

ABAA

BAAA

AABB

ABAB

BABA

BBAA

ABBB

BABB

BBAB

BBBA

(b)

For instance, the following results could occur if the slips were removed in the following order:

A (1 vote for contender A) (1 vote for candidate A)

AA (2 ballots for candidate A) (2 votes for candidate A)

AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)

AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)

AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)

AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)

AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

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The calculated period of the function is 12

From the question, we have the following parameters that can be used in our computation:

The graph

By definition, the period of the function is calculated as

Period = Difference between cycles or the length of one complete cycle

Using the above as a guide, we have the following:

Period = 13 - 1

Evaluate

Period = 12

Hence, the period of the function is 12

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Answer:

7-x

Step-by-step explanation:

If one piece is x, and the whole is 7, the missing piece would be 7-x

Hope this helps :)

Answer:

2:7

Step-by-step explanation:

6:21 /3 = 2:7

Option A "Reject the hypothesis" is the appropriate conclusion in this case.

As per the question,

Based on the results from the simulation trials, Peter should conclude that his hypothesis should be rejected.

The simulation showed that finches are a guaranteed bird type for only 80% of the birds, which is lower than the observed percentage of 75% finches at Peter's bird feeder.

This indicates that the predicted percentage of finches continuing at the same rate is not supported by the simulation results.

Therefore, option A "Reject the hypothesis" is the appropriate conclusion in this case.

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Answer:

\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)

\(7 = - \frac{8}{3} ( - 3) + b\)

\(7 = 8 + b\)

\(b = - 1\)

\(y = - \frac{8}{3} x - 1\)

The y-intercept is -1.

The simplification of the given expression of (5^-2 x 4^-4)^-2. so there is only one positive power for each base is 5^4 x 4^8.

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

The expression is given by \((5^{-2} 4^{-4})^{-2}\)

Now Apply the law of indices:

\((5^{-2} 4^{-4})^{-2}\) =  \((5^{-2 \times {-2}} 4^{-4 \times {-2}})^\)

Evaluate the product;

\((5^{-2} 4^{-4})^{-2}\) = \(5^4 4^8\)

Hence, the simplification if the given expression of  \((5^{-2} 4^{-4})^{-2}\) is  \(5^4 4^8\). so there is only one positive power for each base is  \(5^4 4^8\).

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Answer:

Step-by-step explanation:

Answer:

Work out the Mean(the simple average of the numbers)

Then for each number: subtract the Mean and square the result.

Then work out the Mean of those squared differences.

Take the square root of that and we are done!

Step-by-step explanation:

Answer:

Estimate the following (by rounding off to nearest hundred (a)6,941 (b)6,320 (c) 416 (d)126 (e)109 (f)202 (g) 146 (h)7,699 (I)8,311 (j)986

Step-by-step explanation:

Answer:

A cylinder has parallel discs bases that are congruent in size.

Step-by-step explanation:

Answer:

A, C, D

Step-by-step explanation:

When there is not enough evidence to conclude a significant linear relationship between variables, it is not appropriate to use a regression equation to make predictions. In such cases, it is more reasonable to rely on the mean of the y values to make predictions.

The mean of the y values provides a simple and neutral estimate of the average response variable value, irrespective of any relationship with the predictor variable. This approach assumes that, on average, future observations will be similar to the past observations in terms of the response variable. While this may not account for potential variations or patterns, it represents a conservative estimate that is not influenced by an unsupported assumption of a linear relationship.

It is important to note that using the mean as a prediction in this context assumes that there are no other relevant predictors or factors influencing the response variable. If there are additional variables that might affect the relationship, you may need to consider alternative approaches, such as exploring other models or using additional information to make predictions.

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An estimate for the mean time spent watching television is approximately 24.375 hours.

Midpoint of 0 < h ≤ 10 = (0 + 10) / 2 = 5

Midpoint of 10 < h ≤ 20 = (10 + 20) / 2 = 15

Midpoint of 20 < h ≤ 30 = (20 + 30) / 2 = 25

Midpoint of 30 < h ≤ 40 = (30 + 40) / 2 = 35

Sum of observations = (5 × 5) + (15 × 15) + (25 × 50) + (35 × 10) = 125 + 225 + 1250 + 350 = 1950

Total number of observations = 5 + 15 + 50 + 10 = 80

Mean = Sum of observations / Total number of observations = 1950 / 80 = 24.375

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