The first four numbers in a pattern are 4,3.6,3.2 and 2.8. What is the next three next numbers in the pattern

Answer:

For this problem we can use the following proportional rule:

\( \frac{73 mi}{25 gal}= \frac{x}{75 gal}\)

Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition \( D=vt\). If we solve for x we got:

\( x =75 gal (\frac{73 mi}{25 gal}) =219mi\)

And the best answer would be:

219 mi

Step-by-step explanation:

For this problem we can use the following proportional rule:

\( \frac{73 mi}{25 gal}= \frac{x}{75 gal}\)

Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition \( D=vt\). If we solve for x we got:

\( x =75 gal (\frac{73 mi}{25 gal}) =219mi\)

And the best answer would be:

219 mi

Answer:

graph the curve that models the expression is the first on, I don’t know the rest

Step-by-step explanation:

Answer:

4x^2 - 12x + 9

Explanation:

(2x - 3)^2

(2x - 3)(2x - 3)

2x(2x - 3) -3 (2x - 3)

4x^2 - 6x - 3 (2x - 3)

4x^2 - 6x - 6x + 9

4x^2 - 12x + 9

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Answer:

x=4

Step-by-step explanation:

First subtract by doing 64 minus 36. You are left with 28, divide by 7 and your answer is 4.

Answer: X = 4

Step-by-step explanation:

7x+36=64

7x+36−36=64−36

7x=28

Divide both sides by 7.

7x

7 =

28

7

x=4

HOPE THIS HELPS!!!!!! : )

We have two events A and B.

We know that:

P(B) = 0.5

P(A|B) = 0.4

P(A∩B') = 0.4

i) We have to calculate P(A∩B).

We can relate P(A∩B) with the other probabilities knowing that:

So we can write:

We know P(A∩B') but we don't know P(A), so this approach is not useful in this case.

We can try with the conditional probability relating P(A∩B) as:

In this case, we can use this to calculate P(A∩B) as:

ii) We have to calculate P(A) now.

We can use the first equation we derive to calculate it:

iii) We have to calculate P(A∪B).

We can use the expression:

iv. We can now calculate P(A|B') as:

b) We now have to find if A and B are independent events.

To do that we have to verify this conditions:

We can check for the first condition, as we already know the value:

Then, the events are not independent.

Answer:

i) P(A∩B) = 0.2

ii) P(A) = 0.6

iii) P(A∪B) = 0.8

iv) P(A|B') = 0.2

b) The events are not independent.

Answer:

$165.38

Step-by-step explanation:

In the question, we are asked to work with percentages. We know that the person had bought three items of a total of 250 dollars (38 + 189 + 23). We are told that the items have a 30% discount, another 10% discount on that and a 5% tax increase on all of that.

First, let's work with the 30% discount. The official way of working out the problem you would use the unitary method. The unitary method is when we divide the total cost by 100. So 250/100, is 2.5. We multiply this by the remaining percent (100%- 30%=70%) so 2.5*70 is 175.

Then, we work with ten percent. The only difference is that instead of using the original price with are using the 30% discounted price. If we use the unitary method again we find that 175/100 is 1.75 and that multiplied by 90 (because we are only subtracting the 10% not 30%) is 157.50.

Finally, we do the same for the 5% percent only difference being we add it to 157.50. 157.50/100 is 1.575 and multiplied by 105 (because we are adding 5% onto 100% so it becomes 105%).

The final answer is 165.375 and when rounded to the nearest cent it becomes $165.38.

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

Answer: 1 \(\frac{1}{2}\)

Step-by-step explanation: Turn the mixed fraction into improper fraction, which is 9/4 and 15/4. Subtract 15/4 and 9/4 to get 3/2. Convert 3/2 into mixed number to get 1 1/2

hope it helps!!

It isn't appropriate for the consumer group to perform a hypothesis test for the mean payout of all customers.

The major reason is because the sample is short and it is given that most consumer has zero payouts.

The size of the sample taken is not enough large. When sample isn't large enough, it represents skewed information of the population.

The population itself contains many customers who have zero payouts, thus the population isn't normally distributed for insurance claim.

Because of these reasons, the sample mean won't help in deducing conclusions about population mean.

Thus, it is inappropriate for the consumer group to perform a hypothesis test for the mean payout of all customers.

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It is not appropriate to perform a hypothesis test for the mean payout of all customers, mostly because the sample is really small.

The first thing you can see is the sample size, it seems to be really small for a company with thousands of customers, is really probably that just 18 of them do not represent accurately the whole population.

We also do know that a large proportion of the population has zero payouts, so the population is skewed.

Just because of these two motives, the mean of the sample most likely does not accurately portray the whole population, thus is not appropriate for the consumer group to perform a hypothesis test for the mean payout of all customers.

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Answer:

a = 4

Step-by-step explanation:

24a+14=6(8a+3)-26a+4

24a+14 = 48a+18-26a+4

24a-48a+26a = 18+4-14

2a = 8

a = 4

The equation 7−10x+5x=6+1−5x is an identity, as it simplifies to 7 = 7 and is true for all values of  x.

Let's simplify the given equation:

7−10x+5x=6+1−5x

Combine like terms on both sides:

7-5x=7-5x

Now, add 5x from both sides:

7-5x+5x=7-5x+5x

7=7

The equation simplifies to 7=7, which means both sides are equal.

This equation is an identity because it is true for all values of x.

Hence, the given equation 7−10x+5x=6+1−5x is an identity, as it simplifies to 7 = 7 and is true for all values of  x.

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Answer:

the answer is multiple of 4 I believe

Answer:

4^n-1

Step-by-step explanation:

You follow the form ar^n-1 (geometric sequence)

a is the first term

r is the ratio

We know that a is 1

and r is 4

so

1 x 4^n-1

or

4^n-1

We know that they are multiples of 4

The correct answer is (B) 99.73%..

For a process in control, we expect 99.73% of the points on a process control chart to fall within the upper control limit (UCL) and the lower control limit (LCL).

A process control chart is a tool used in statistics and quality control to monitor and analyze a process over time. It consists of a line graph that plots the measured values of a process variable, such as the temperature or weight of a product, over time. The UCL and LCL are horizontal lines that are drawn on the graph at a predetermined distance above and below the average value of the process variable.

The expected percentage of points within the UCL and LCL is determined by the chosen level of statistical significance and the distribution of the process variable. In this case, the expected percentage of points within the UCL and LCL is 99.73%.

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Complete Question:

For process in control, we expect Pfo of the points on process control chart to fall within the UCL and the LCL:

A)0.27

B)99.73

C)100

Differentiating both sides of

xy = 99

with respect to t yields

x dy/dt + y dx/dt = 0

When x = 11, we have

11y = 99   ==>   y = 9

and we're given that dy/dt = -4 at this point, which means

11 (-4) + 9 dx/dt = 0   ==>   dx/dt = 44/9

Area of figure 1 is 468 cm² and figure 2 is 45 cm².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

In these given figure for calculating the area of them we need to divide them into two or more shape like rectangle, triangle or square. For example, I will take Figure 1 and 2

For figure 1

Length of base = 16 + 14 =  30 cm

Length of right rectangle whose side is 14 and 14(smaller one)

Thus, its area = 14 * 14 = 196

Area of left rectangle whose side is 16 and 17 = 16 * 17 = 272

Total area of the figure = 272 + 196 = 468 square cm

For figure 2

If we split them into two shape they will become a square and a triangle

Area of triangle = 1/2 base * height = 1/2 * 6 *3 = 9

Area of square = side * side = 6*6 = 36

Thus, total area = 9 + 36 = 45 square cm

Therefore, Area of these given figures(in unit square) are:

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Answer:

C (x+2)(2x+3)

Step-by-step explanation:

You can count in the picture that in the top part there are two x's (2x) and three ones (3). So the top would be (2x+3)

On the left side there is one x (x) and two ones (2). It would be (x+2).

So combine them together, it would be (x+2)(2x+3).

C.

Answer:

answer is (2x+3)(x+2)

I hope this will help you

Answer:

188 miles or 188.5 miles

Step-by-step explanation:50-17.95/17

The expressions are written as;

h(t)+k(t) = 10t - 1

h(t)−k(t) = -2t + 1

Note that algebraic expressions are described as expressions that are made up of coefficients, variables, terms, constants and factors.

These expressions are made up of arithmetic operations, which includes;

From the information given, we have that;

h(t)=4t

k(t)=t+5t−1

To determine the value of h(t) + k(t), we have;

4t + t + 5t - 1

add the like terms, we get;

10t - 1

To determine h(t) = k(t)

4t- t - 5t + 1

add like terms

-2t + 1

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Answer:

1:1

Step-by-step explanation:

Answer:

\(f(x)=4(x+6)^2-134\)

Step-by-step explanation:

We are required to write the function\(f(x) = 4x^2 + 48x + 10\) in vertex form.

First, bring the constant to the left-hand side.

\(f(x) -10= 4x^2 + 48x\)

Factorize the right hand side.

\(f(x) -10= 4(x^2 + 12x)\)

Take note of the factored term(4) and write it in the form below.

\(f(x) -10+4\Box= 4(x^2 + 12x+\Box)\)

\(\Box = (\frac{\text{Coefficient of x}}{2} )^2\\\\\text{Coefficient of x}=12\\\\\Box = (\frac{12}{2} )^2 =6^2=36\)

Substitute 36 for the boxes.

\(f(x) -10+4\boxed{36}= 4(x^2 + 12x+\boxed{36})\)

\(f(x) -10+144= 4(x^2 + 12x+6^2)\)

\(f(x) +134= 4(x+6)^2\\f(x)=4(x+6)^2-134\)

The function written in vertex form is \(f(x)=4(x+6)^2-134\)

Answer:

C

Step-by-step explanation:

I just finished the unit test on Edge. and got a 100% and I selected "c" as my answer.

Answer:

12

Step-by-step explanation:

You simply add the coefficients together.
3 + 4 + 5 = 12

Answer:

The length of the rectangle

is 2 units. The width of the rectangle

Is 11 units. The area of the rectangle

is 26 square units.

The area of the triangle is half the area of the rectangle, so the area of the triangle is 13 square units.

The required, area of the triangle can be determined by forming a rectangle and then finding half of the area of that rectangle. Option D is correct.

The area of the triangle is half the product of the base and height of the triangle.

here,
To determine the area of the triangle by forming a rectangle, we can use the following steps:

A. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle.

B. The length of the rectangle is equal to the base of the triangle plus the height of the triangle. So, the length of the rectangle is (base + height) units.

C. The width of the rectangle is equal to the other side of the triangle. So, the width of the rectangle is the same as the base of the triangle. Thus, the width of the rectangle is base units. The area of the rectangle is length times width, which is (base + height) times base square units.

D. The area of the triangle is half the area of the rectangle. So, we can find the area of the triangle by dividing the area of the rectangle by 2. Thus, the area of the triangle is ((base + height) times base) / 2 square units.

So, the area of the triangle can be determined by forming a rectangle and then finding half of the area of that rectangle.

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Answer:

Its 3/6

Step-by-step explanation:

Answer:

one eqwivelent fraction that is = to 1/3 is 2/6 if u need more just comment and i will responed back

Step-by-step explanation:

Start by crossing out absurd answers, it helps a lot. Then you're left with two and choose the correct answer by doing the math

Step-by-step explanation:

cross the ones that you think are not right

Answer:

i don't know i think its 20 in my opnian

Step-by-step explanation:

i don't know sorry