Mark goes to the grocery store and purchases items for $0.58, $1.25, $1.99, and $12.40. If Mark gives the cashier $20.00, how much change will he get back?​

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

According to the Central Limit Theorem, the sampling distribution of sample means would have a mean of 5.4 years.

Step-by-step explanation:

For a normally distributed random variable X, with mean and standard deviation, the sampling distribution of sample means with size n can be approximated to a normal distribution with mean and standard deviation.

As long as n is at least 30, the Central Limit Theorem can also be applied to skewed variables.

We have the following problem:

Answer:

Step-by-step explanation:

The mean of the sampling distribution of sample means can be calculated using the formula:

μM = μ

where μ is the population mean and M is the sample mean.

Thus, μM = μ = 5.4 years.

Therefore, the mean of the sampling distribution of sample means would also be 5.4 years.

Answer:

Step-by-step explanation:

3x -8 = 2x + 5

x - 8 = 5

x = 13

3(13) - 8 + 2(13) + 5

39 - 8 + 26 + 5

31 + 31 = 62

If a value of 80.2° is added to the data, the range stays at 48º.

The mean of the data-set would change the most, and it would assume a value of 84º.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations. The range of a data-set is given by the difference between the highest value of the data-set by the smallest value of the data-set.

here, we have,

The highest and smallest high temperatures for the city are given as follows:

Smallest: 57º.

Highest: 105º.

Hence the range is obtained as follows:

105 - 57 = 48º.

80.2º would be neither the highest nor the smallest value in the data-set, which would then remain constant.

As it involves all values, it would be changed the most by changing the value of 58º to 101º, and would then assume a value of 84º.

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\(\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)\)

Normal distribution curve is symmetric around the mean, it shows that values close to the mean happen more frequently than those distant from the mean.

A bell-shaped (symmetric) curve, the normal probability distribution or the normal curve. The mean of it is represented by and the standard deviation by σ.

In this example, the mean and median are both equal and lie in the center of the distribution; they are 64, and the standard deviation is 7, with 68% of the values falling within the first standard deviation, 95% within the second standard deviation, and 99.7% within the third. Once more, variance is equal to the standard deviation squared.

According to the normal distribution curve:

"the percent of women whose heights are between 64 and 69.5 inches" represents the values within 2 standard deviation.

Area from a value (Use to compute p from Z)

Value from an area (Use to compute Z for confidence intervals)

Let the parameters be

Mean 64

Standard deviation 2.75

Above 1.96

Below 1.96

Between 64 and 69.5

Outside -1.96 and 1.96

Area (probability) 0.4772

And that value is 95 % of the whole data

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Answer: A)

Step-by-step explanation: khan academy

Explanation:

Always remember that variables have coefficients (x is the same as 1·x or 1x).

Raising a base to either an odd or even exponent has particular rules when it comes to signs:

It will be different if the base is raised as follows:  

The key is that the exponent outside the parenthesis will affect both the coefficient and its base, such as (-a)².

Hope this makes complete sense.

Given curves:

See the attached, where both curves and their intersection is shown.

According to this we have:

Answer:

x = 96.05 bushels

p = $2.84

Step-by-step explanation:

Graph the two equations (see attachment).

The market equilibrium is the point of intersection of the graphs for x > 0.

From inspection of the graph, the point of intersection is (96.05, 2.84).

Therefore:

The function is nonlinear because it does not have a constant rate of change

The graph in the function is parabolic,

And the rate of change is -1.

Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

In the given graph,

Function f(x) is given.

The graph is curved shaped,

Implies that, it is not linear.

The graph shows function of parabola,

And the equation of the given parabola can be given as,

y = (x-3)² - 1.

To find the rate of change

Take points on tow points on x-axis,

x = 2 and x = 3

The value of y corresponding to x = 2,

y = 0,

The value of y corresponding to x = 3,

y = -1

The points are (2, 0) and (3, -1)

The rate of change = (-1 -0)/ 3 - 2 = -1 / 1 = -1

The rate of change is -1.

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Answer:

A.  A = 8h + 10

     A = 10h

B.  5 hours

C.  $50

Step-by-step explanation:

A.  https://brainly.com/question/17036764

Pizza Place:  A = 8h + 10

Hardware Store:  A = 10h

Since you had made a separate question for part A, I answered that.

B.  Kevin's earnings is represented by A.  Because we want the earnings for each job to be equal, set the two equations equal to each other.  Solve for h.

8h + 10 = 10h

10 = 2h

5 = h

Kevin has to work 5 hours.

C.  Plug 5 into each equation.

A = 8h + 10

A = 8(5) + 10

A = 40 + 10

A = 50

A = 10h

A = 10(5)

A = 50

Kevin will make 50 from each job.

Answer:

10d+16

Step-by-step explanation:

=>3(2d+2)+2(2d+5)

=>6d+6+4d+10

=>10d+16

Answer:

Yes

4x + 8y + 4x = 8x + 8y

8x + 8y = 8x + 8y

Answer:

Yes

Step-by-step explanation:

First, simplify the two expressions by using the distributive property:

4(x + 2y) + 4x

Distribute 4 to the terms in the parentheses:

4(x + 2y) + 4x

4x + 8y + 4x

Add like terms:

8x + 8y

Then, do this to the other expression:

8(x + y)

8x + 8y

So, both expressions are equal, because they both simplified to 8x + 8y

Answer:

51

Step-by-step explanation:

5x^2 - x + 9

5(3^2) - 3 + 9

5(9) + 6

45 + 6

= 51

Given equation to us is , \(3x^2+7x-(m+1)=0\) .

The given equation is a quadratic equation and it has two real solutions if it's discriminant is greater than or equal to 0 .

For a quadratic equation in standard form of \(ax ^{2} + bx + c = 0\)

the discriminant is given by b² - 4ac .

On comparing wrt to Standard form, we have ;

Hence we have,

\(\longrightarrow b^2-4ac \geq 0\\ \)

\(\longrightarrow 7^2-4(3)-(m+1)\geq 0\\\)

\(\longrightarrow 49 +12(m+1)\geq 0\\ \)

\(\longrightarrow 49 +12m+12\geq 0 \\ \)

\(\longrightarrow 12m \geq -61\\\)

\(\longrightarrow \underline{\underline{m \geq \dfrac{-61}{12}}} \)

Therefore the given quadratic equation will have real solutions for values of m greater than or equal to -61/12 .

And we are done!

Hey there! I'm happy to help!

Isosceles triangles have at least two sides of the same length. We see that A and D are isosceles. It kind of looks like B does but if you look closely you will see that the there are not two matching sides.

Acute triangles have at least one angle that is less than 90 degrees. Triangles A and B are acute.

Right triangles have 1 right angle. Triangles C and D are right triangles.

Scalene triangles have sides of all different lengths. We see that B, C, and E are all scalene.

Therefore, the correct answer is There are exactly three scalene triangles.

Have a wonderful day! :D

The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)

We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)

a) \((a^2 - b^2)\)

We can write the transpose of this matrix as

\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.

b) (A+B)(A-B)

Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)

Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)

Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.

c) ABA

Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

d) ABAB

Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)

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Answer:

1360 m³

Step-by-step explanation:

To determine the volume of a compound 3D shape, divide the 3D shape into multiple 3D known shapes. Then, determine the volume of those "3D known shapes" and sum them up to determine the volume (figure).

In this figure, we can see two cuboids forming the figure. Therefore,

⇒ V (Figure) = V (Cuboid₁) + V (Cuboid₂)

The formula to determine the volume of a cuboid is the measure of the length, multiplied to the product of the width and the height.

⇒ V (Cuboid) = L × (W × H)   or   L × W × H

Therefore, the volume of cuboid₁ is;

⇒ V (Figure) = [L (Cuboid₁) × W (Cuboid₁) × H (Cuboid₁)] + V (Cuboid₂)

When we substitute the dimensions of the cuboid₁ , we get;

⇒ V (Figure) = [8 × 5 × 22] + V (Cuboid₂)

Which when simplified, we get;

⇒ V (Figure) = [880] + V (Cuboid₂)

The same should be done to cuboid₂. Therefore,

⇒ V (Figure) = [880] + [L (Cuboid₂) × W (Cuboid₂) × H (Cuboid₂)]

When we substitute the measures in the equation, we get;

⇒ V (Figure) = [880] + [8 × 5 × 12]

Which when simplified, we get;

⇒ V (Figure) = [880] + [40 × 12]

⇒ V (Figure) = [880] + [480]

⇒ V (Figure) = 1360 m³

Therefore, the volume of the figure is 1360 m³.

Answer:

8

Step-by-step explanation:

Answer:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90 and many more

Have a great day and stay safe :)

9514 1404 393

Answer:

  d, b, c, a, e

Step-by-step explanation:

The order of the letters in the congruence statement tells you ...

  ΔQOP ≅ ΔABC

  ∠Q ≅ ∠A

  ∠O ≅ ∠B ≅ 115°

  ∠P ≅ ∠C

  QO ≅ AB = 5 m

  OP ≅ BC = 8 m

  PQ ≅ CA

Answer: D

Step-by-step explanation:

Answer:

x =  1

y =10

Step-by-step explanation:

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer:

81.5% of 1-mile long roadways with potholes numbering between 22 and 52

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 42, standard deviation of 10.

The normal distribution is symmetric, so 50% of the measures are below the mean and 50% are above the mean

Approximate percentage of 1-mile long roadways with potholes numbering between 22 and 52:

22 = 42 - 2*10

So 22 is two standard deviations below the mean. Of the 50% of the measures that are below the mean, 95% are between two standard deviations below the mean(22) and the mean(42).

52 = 42 + 10

So 42 is one standard deviation above the mean. Of the 50% of the measures that are above the mean, 60% are between the mean(42) and one standard deviation above the mean(52).

In the desired interval, the percentage is:

\(P = 0.5*0.95 + 0.5*0.68 = 0.815\)

81.5% of 1-mile long roadways with potholes numbering between 22 and 52

9514 1404 393

Answer:

  3 ft

Step-by-step explanation:

The post is 4/24 = 1/6 as tall as the streetlight, so we expect its shadow to be 1/6 as long as that of the streetlight:

  (1/6)(18 ft) = 3 ft

The parking meter post shadow is 3 feet long.

Answer:

After 10 weeks: 40 inches

Step-by-step explanation:

Equation

15 + 2.5w = h

15 = beginning height

2.5 = rate per week

w = weeks passed

h = total height

Two or more expressions with an Equal sign is called as Equation.15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.

Two or more expressions with an Equal sign is called as Equation.

Given that, At the beginning of spring, Caroline planted a small sunflower in her backyard

The initial height of the sunflower was  15 inches tall.

The sunflower then began to grow at a rate of 2.5 inches per week.

We need to find the height of the tree after 10 weeks.

15+2.5(10)

15+25

40 inches tall after 10 weeks.

the sunflower height after w weeks

15+2.5W

Hence 15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.

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