A gallon of gasoline at the local gas station
cost $2.69. If you put 8 gallons of gasoline
in your car, how much will it cost you

Answer:

-81 use parenthesis first then use your exponent

Answer:

\(\frac{1}{81}\)

Step-by-step explanation:

The expression is given to be:

\((3^{2})^-\)²

( 3 x \(3 )^{-2}\)

\((9)^{-2}\)

1 / (9\()^{-2}\)

∴ = 1 / 81

Given that P is the midpoint of QR, the length of QR is twice the length of PQ (or PR). Among the options provided, the correct answer is D, which is 43.

Let's assume that P is the midpoint of QR. In a line segment with a midpoint, the distance from one endpoint to the midpoint is equal to the distance from the midpoint to the other endpoint.

So, if P is the midpoint of QR, we can say that PQ is equal to PR. Therefore, the length of QR would be twice the length of PQ (or PR).

Given the answer choices, we need to find the length of QR among the options provided (A, B, C, D). We can eliminate options A and C because they are not even numbers, and it's unlikely for a midpoint to result in a decimal value.

Now, let's check options B and D. If we divide them by 2, we get 19 and 21.5, respectively. Since we're dealing with a line segment, it is more reasonable for the length to be a whole number. Therefore, we can conclude that the correct answer is option D, which is 43.

Hence, the length of QR is 43.

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Answer:

A

Step-by-step explanation:

The denominator is obviously 8 because there are 8 posibilities. The nuemerator is 1.

If you flip it once, you have a 1/2 chance of flipping tails. twice is 1/4 chance. three times is a 1/8 chance

pls brainliest!

Answer:

A. 1/8th

Step-by-step explanation:

The chances u land the coin on one side is 1/2

so the equation would be 1/2^3 or

1/2 x 1/2 x 1/2 which leaves you with 1/8.

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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Answer:

I THINK the answer is 57

Step-by-step explanation:

Add 51 + 36 + 84

Divide 171 by 57

57 is the most that can go into 171 evenly.

The best sports that need more flexibility of our body are:

Because your muscles will be strong enough to support your daily activities if they are under the proper level of strain, you will feel less aches and pains. Its advantages for the mind must also be mentioned. Stretching releases tension, which reduces stress. Overall, flexibility enhances posture, mobility, coordination, and risk of muscular discomfort. Spending time on increasing flexibility is worthwhile. Which sports are the best to achieve it knowing this?

Now that we've cleared everything up, what exactly is flexibility? The range of motion in a joint or collection of joints is referred to as flexibility. Flexibility in one joint doesn't always translate to flexibility in another.

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The number of favorable outcomes for events A and B would be: (1,2,3,4)

The sample space that is used to determine the probability of A given B is  (2, 4.6)

The probability for event A and B occurring would be: 1/6

The probability of event A given event B will be 2/3

The sample space refers to the collection of all the outcomes that can be expected from a set of randome experiments. Probability refers to the number of favorable outcomes divided by the number of tottal outcocmes.

From the data given, the probability of getting an even number and a number less than 5 will be 5/6 amd this is in the same ratio as 2/3. The probability of event A and B occurring will be 1/6.

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During the 2013 Major League Baseball season, the St. Louis Cardinals averaged 41,602 fans per home game. Attendance during the season follows the normal probability distribution with a standard deviation of 9,440 per game. The task is to find the probability that a randomly selected game during the 2013 season had an attendance greater than 50,000 people.

Using the formula for z-score, which is z = (X - μ) / σ, where X = attendance during the 2013 season, μ = the mean attendance during the season, and σ = the standard deviation during the season, we can solve for the probability. Substituting the given values in the formula, we get z = (50,000 - 41,602) / 9,440, which equals 0.8915.

The probability that a randomly selected game during the 2013 season had an attendance greater than 50,000 people is P(X > 50,000) = P(z > 0.8915) = 1 - P(z < 0.8915). We need to find the value of P(z < 0.8915) using a standard normal table. The value of P(z < 0.8915) is 0.8133.

Substituting the given value in the formula P(X > 50,000) = P(z > 0.8915) = 1 - P(z < 0.8915), we get P(X > 50,000) = 1 - 0.8133, which equals 0.1867. Therefore, the probability that a randomly selected game during the 2013 season had an attendance greater than 50,000 people is 0.1867.

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238.20 cubic inches of cotton is needed if the remaining space is to be filled with cotton for padding. The volume of cotton needed is obtained by subtracting the volume of four glass balls from the volume of the box.

The radius of a glass ball = 2.5 inches.

The volume of a ball = \(\frac{4}{3}\pi r^3\)

                                   = \(\frac{4}{3}\times 3.14\times (2.5)^3\)

                                   = 65.42 cubic inches.

The volume of 4 balls = 4 × 65.42 cubic inches

                                    = 261.67 cubic inches.

Length of the box = 4 × 2.5 × 2 = 20 inches,

Width of the box = 2.5 × 2 = 5 inches,

Height of the box = 2.5 × 2 = 5 inches.

So,

the volume of the box = Length × Width × Height

                                     = 20 × 5 × 5

                                     = 500 cubic inches.

Now,

The volume of cotton needed = the volume of the box - the volume of 4 balls.

= 500 - 261.67

= 238.20 cubic inches.

Thus, if the remaining space is to be filled with cotton for padding, 238.20 cubic inches of cotton is needed.

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The sides of the right triangle are as follows:

AC = 3.2 metres

AB = 12.4 metres

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sum of angles in a right triangle is 180 degrees.

Therefore, the sides of a right triangle can be found using trigonometric ratios.

Hence, let's find AC

tan 15 = opposite / adjacent

tan 15 = AC / 12

cross multiply

AC = 12 tan 15

AC = 12 × 0.26794919243

AC = 3.21539030917

AC = 3.2 metres

Let's find AB

cos 15 = adjacent / hypotenuse

cos 15 = 12 / AB

AB = 12 / cos 15

AB = 12 / 0.96592582628

AB = 12.423314503

AB = 12.4 units

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Answer:

-32

Step-by-step explanation:

The firm 4's efficient scale occurs at 4

In this question, we have been given a table of long-run total cost and the quantity.

We need to find the quantity at which the firm 4's efficient scale occurs.

We know that the efficient scale occurs at the quantity of output where average total cost is minimum.

For the firm 4 the average total cost would be,

(210 + 340 + 490 + 660 + 850 + 1060 + 1290) / 7

= 4900 / 7

= 700

This value is clsoe to 660.

Therefore, the firm 4's efficient scale occurs at quantity 4.

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Given question is incomplete.

Answer:

$0

Step-by-step explanation:

I hope this helps!

Answer:

she can spend no more than 64, and if this is incorrect, do 63

Step-by-step explanation:

The error is made in step 1 while finding the coterminal angle for sin 17π/3

The coterminal angle of 17π/3 is 11π/3.

Two angles are called coterminal angles if they have the same initial side and the same terminal side when drawn in standard position. In other words, coterminal angles are angles that differ by a multiple of 360 degrees or 2π radians.

Since coterminal angles differ by 2π radians

= 17π/3 - 2π

= 11π / 3

Coterminal angles have the same trigonometric functions (sine, cosine, tangent, etc.) because they intersect the unit circle at the same point.

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Two ratios that describe the collection of baseballs to gloves are

8:4 and 2:1 .

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.

Given,

Number of gloves = 16

Number of baseballs = 8

Ratio of gloves to baseballs

= 16/8

= 8/4 = 8:4

= 2/1 = 2:1

Hence, 8:4 and 2:1 are two ratios that describe the collection of baseballs to gloves.

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Complete question is:

There are 16 baseballs and 8 gloves,

Choose two ratios that describe the collection of baseballs to gloves.

8:4, 6:4, 2:1, 2:4, 10:4

Answer:

The answer is B. i.e. 6.6units.

Answer:

The correct graph answer is A.

Step-by-step explanation:

Let

c ----> the total cost to rent a set of hand tools

h ----> the number of hours for the rental

we know that

The linear equation that represent the problem is equal to

---> this is the equation of the line into slope intercept form

where

the slope m is equal to

m=$2 per hour

b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)

therefore

The correct graph is A.

B. C. and D. are incorrect

Answer:

8 cubes will have paint on 3 faces

Step-by-step explanation:

8 cubes will have paint on 3 faces

4 * 4 * 3 =  48  will have paint on two  faces

[ 8 + 48 ]  /   6^3    

56  /  216  

7 / 27

What is called cube?

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

It is also said to be a regular hexahedron.

Cube is a 3-dimensional structure with six squares/faces, and three of them meet at each vertex, and all the angles at the corner are right-angled.

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Answer:

The answer would be 2/3

Step-by-step explanation:

There are 36 total problems and 24 division problems.

So take 24 over 36 and simplify and you get 2/3

Answer: D

Step-by-step explanation:

Irrational numbers cannot be expressed as a ratio of two integers.

Answer:

D only

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

$175.83

Step-by-step explanation:

All you have to do is 4220 divided by 24 = $175.83

Answer:

(3x+8)

Step-by-step explanation:

It is the difference of 2 squares

\(x^{2} -y^{2} = (x+y)(x-y)\\9x^{2} -64\\(3x+8)(3x-8)\)

The answer to the given question is C) 1-proportion z-interval.

Explanation: To estimate the true proportion (n) of college freshmen who are overwhelmed by managing their time, a 1-proportion z-interval is used. Since we have a sample proportion of 58% and a sample size of 462, we can calculate a confidence interval to estimate the range of the true proportion. With a 90% confidence level, the z-interval formula is applied using the standard normal distribution. The resulting interval will provide a range within which we are 90% confident that the true proportion falls. By calculating the margin of error and applying it to the sample proportion, we can interpret the confidence interval, providing valuable information about the population proportion of overwhelmed college freshmen. #spj11

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The ordered pair which is solution of 8x+16y > 32 is (-3,5) , the correct option is (b) .

In the question ,

it is given that ,

the linear inequality is 8x+16y > 32 .

to find the solution set ,

we substitute the options that are given

Option(a)

Substituting (0,2) in 8x+16y > 32 ,

we get ,

8(0) + 16(2) > 32

32 > 32 ,

false , hence it is not a solution .

Option(b)

Substituting (-3,5) in 8x+16y > 32 ,

we get ,

8(-3) + 16(5) > 32

-24 + 80 > 32

56 > 32

true , yes it is the solution .

Option(c)

Substituting (-1,1) in 8x+16y > 32 ,

we get ,

8(-1) + 16(1) > 32

-8 + 16 > 32

8 > 32

False , hence it is not a solution .

Option(d)

Substituting (4,0) in 8x+16y > 32 ,

we get ,

8(4) + 16(0) > 32

32 + 0 > 32

32 > 32

False , hence it is not a solution .

The only solution that satisfy the inequality is (-3,5) .

Therefore  , The ordered pair which is solution of 8x+16y > 32 is (-3,5) .

The given question is incomplete , the complete question is

Which ordered pair is in the solution set of 8x+16y > 32 ?

(a) (0,2)

(b) (-3,5)

(c) (-1,1)

(d) (4,0)

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The given expression is,

Let the unknown number be x, Let us divide each term by -4, we get,

On cross mutiplying, we get,

Thus, the required number is -0.6.

Answer:

2,292/3 = x/12

Step-by-step explanation:

if you were to solve

2,292/3 finds you how many people per hour

and multiply that by 12 to find how many people for 12 hours.

Step-by-step explanation:

\(\frac{2292}{3} =\frac{x}{12}\)  

cross multiply divide.

x=9168

Step-by-step explanation:

1160 divided by 8 is 145

so 1164 tecnically can't be divided by 8 normally so it comes in decimal form .

Answer:

1160 divided by 8 is 145

Step-by-step explanation:

but yah

Answer:

It's D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

8072

Step-by-step explanation:

There are 8072 cents between the greatest and least amount Ricardo could have according to the scenario described.

Total number of coins = 2020

The least amount possible :

The greatest amount possible :

The difference between the greatest and least amount possible :

Therefore, the difference between the greatest and least amount possible is 8072 cents.

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