A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions: Likes hamburgers Does not like hamburgers Total Likes burritos 49 92 Does not like burritos 75 38 Total 81 205

Number of quarters is 6 and number of nickels are 42.

One eighth of Al's coins are quarters, so if we let x be the total number of coins, then x/8 is the number of quarters Al has.

We know that:

Quarters are worth $0.25 and nickels are worth $0.05 and total value of the coins is $3.60

so, x/8 * $0.25 + (x-x/8) * $0.05 = $3.60

=> x/8 * 0.25 + 7x/8 * 0.05 = 3.60

multiplying both sides by 8 to cancel out 8, we get

=> x*0.25 + 7x * 0.05 = 28.8

=> x/4 + 7x/20 = 28.8

=> (5x + 7x)/20 = 28.8

=> 12x = 576

=> x= 48

x/8 = 6 and (x-x/8) = 42

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The test-statistic (z-score) is 1.19984.

To find the test statistic (z-score) using the p-value, you will need to use the inverse of the standard normal cumulative distribution function (CDF), also known as the inverse normal function or the "normal inverse function." This function can be found using a calculator or a spreadsheet program with built-in functions, or you can use a table of standard normal probabilities to find the corresponding z-score for a given p-value.

For example, if the p-value is 0.05, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.645. This means that the test statistic (z-score) for a p-value of 0.05 is 1.645.

It's important to note that this method only works for a one-tailed test, for a two-tailed test you need to divide your p-value by 2 and then use the inverse normal function.

so, the p-value is 0.1151, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.19984.

Therefore, the test-statistic (z-score) is 1.19984.

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AS per the concept of reasoning, the statement written symbolically is ~Q

The term reasoning in math is defined as a drawing logical conclusions based on evidence or stated assumptions

While we looking into the statement P and Q, then we can  get it as

p: Brad Pitt is governor.

q: There are not 51 states in the U. S.

Here we have to know that the we have to write the following in the symbolic form, that is written as,

=> There are 51 states in the U. S.

While we looking into the statement, we have identified that the  statement is write as the inverse form of the previously given one.

So, the symbolic form is ~Q.

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The total dinner bill was $177.90 including a tip of 20%.

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"

Given that, a restaurant adds a 20% gratuity (or tip), a dinner bill for a large party comes to $148.25, we need to find the total dinner bill with tip.

The total bill will be = 148.25 + 20% of 148.25

= 148.25 + 20/100 × 148.25

= 148.25 + 0.2 × 148.25

= 148.25 + 29.65

= 177.90

Hence, the total dinner bill was $177.90 including a tip of 20%.

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The number line which best conveys Gregg's situation is B.

line B is the answer and the image is attached,

Since Greg has calculated that his least or minimum speed should be 50 miles per hour ,

Then the line starts at 50 with the starting point shaded due to the at least notation.

Then at least means that,

Gregg may need to travel at a higher speed than 50, so the direction of the arrow moves to the right of the number line depicting a possible increase in Gregg's speed.

Therefore, the number line which best conveys Gregg's situation is B.

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Part A:

Find m∠2,

Since ∠1 and ∠2 are alternate interior angles, they are equal. So, m∠2=60°

Part B:  

Find m∠3,

Since ∠2 and∠3 are supplementary, the sum of their measures is 180°. So, m∠3=180°-60° which is 120°.

[tex]\dfrac{k}{0.1} =36[/tex]

Multiply both sides by 0.1:

[tex](\dfrac{k}{0.1} )\times0.1=(36)\times0.1[/tex]

[tex]\fbox{k = 3.6}[/tex]

Answer: 4 in

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression -3(-3v^3+3-4w^2) after using the distributive property is  9v³ - 9 + 12w²

The distributive property of multiplication over addition is a mathematical method of expanding bracket mostly applied when you need to multiply a value by a sum.

This property of multiplication explains how to solve expressions that are in the form of a(b + c).

From the information given, we have the expression;

-3(-3v^3+3-4w^2)

To carry out the distributive multiplication , we need to remove the parentheses of the expression by taking the following steps, we have;

expand the bracket and take note of the mathematical signs, we get

-3(-3v³ + 3 - 4w²)

9v³ - 9 + 12w²

Note that we can no longer add the terms because they are not like terms.

Hence, the expression is 9v³ - 9 + 12w²

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Linear function would better model the data because as x increases, the y values change additively. The common difference of this function is approximately 159.

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

For this problem, the function is classified as linear, as the difference between consecutive terms is of approximately 159, while the ratios are different.

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I year of weekends= 105days therefore 105, therefore you need 105 ice cream bars? hoped this helped

Answer: The formula for population growth of bacteria with a constant doubling time is P = Po*2^(t/d), where P is the population after t hours, Po is the initial population, t is the time in hours, and d is the doubling time.

Given the initial population of 8600 bacteria and a doubling time of 5 hours, we can substitute these values into the formula:

P = 8600 * 2^(7/5)

To find the population after 7 hours, to the nearest whole number, we can use a calculator to calculate 2^(7/5) which is approximately 3.7 and then multiply it with the initial population.

P = 8600*3.7

P = 31420

So, the population of bacteria in the culture after 7 hours will be around 31420.

Step-by-step explanation:

The number of cups of soda Sidney will use for 15 cups of ice cream is 45 cups of soda.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

From the table,

3.5 cups of ice cream = 10.5 cups of soda.

This means,

1 cup of ice cream = 3 cups of soda.

Multiply 15 on both sides.

15 cups of ice cream = 45 cups of soda.

Thus,

45 cups of soda are used.  

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Answer:

58

Step-by-step explanation:

error: 64+2p = 180.  he missed 1 p.

so 2p =180-64

p = 58

Answer:

b) 30°

Additional information:-

Step-by-step explanation:

We know that,

→ The other two angles of the isosceles triangles are equal.

Formula we use,

→ <A + <B + <C = 180°

Forming the equation,

→ 120° + x + x = 180°

Now the value of x will be,

→ 120° + x + x = 180°

→ 120° + 2x = 180°

→ 2x = 180° - 120°

→ 2x = 60°

→ x = 60°/2

→ [ x = 30° ]

Hence, option (b) is correct.

Answer:(8 x r)+(8 x 1)

Step-by-step explanation:

[tex]8(r+1)[/tex]

Distribute:

[tex](8)(r)+(8)(1)[/tex]

[tex]\fbox{8r + 8}[/tex]

The length of the room are y2 – 5y = 750 , y(y – 5) + 750 = 0 and (y + 25)(y – 30) = 0

it is important to note that the formula for calculating the area of a rectangle is expressed as;

A = lw

Such that;

From the information given, we have that;

Length = y

Width = y - 5

Area = 750 square feet

Substitute the values into the formula

750 =y(y - 5)

expand the bracket

750 = y² - 5y

y² - 5y- 750 = 0

This is factorized to give;

(y + 250 (y - 30)

Hence, the expression is y² - 5y- 750 = 0

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The length of the longest side is solved to be 3.76 cm

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0.

The perimeter o the quadrilateral have a formula that add all the sides together, assuming the factor of the original length is x, the perimeter is solved by

9.6 = 3x + 5x + 6x + 9x

9.6 = 23x

x = 9.6 / 23

x = 0.4174

The length of the longest side

= 9x

= 9 * 0.4174

= 3.76 cm

3.76 cm is the length of the longest side

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Answer:

A.9^2+15^2=x^2

Step-by-step explanation:

Pythagorean Theorem

a^2+b^2=c^2

Approximately 81.5% of the respondent will be between 64.29 and 93.54 years old.

Given that:

Mean u = 74.04

Standard deviation S.D. = 9.75

Distribution of ages is mound-shaped and symmetric.

We have to find percentage of the respondent between 64.29 and 93.54 years old.

For 93.54

z-score = [tex]\frac{x-u}{S.D}[/tex]

Z score = (93.54 – 74.04)/9.75 = 19.5/9.75 = 2

For 64.29

Z score = (64.29 – 74.04)/9.75 = -9.75/9.75 = -1

Now p-value from z-table:

P(x<93.54) = p(z<2) = 0.97725

P(x>64.29) = p(z>-1) = 0.15866

Probability between 64.29 and 93.54 year old = .97725 – 0.15865

= 0.8186

Percentage of the respondent = 0.8186 * 100 = 81.8%

Therefore, approximately 81.5% of the respondent will be between 64.29 and 93.54 years old.

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Using the arithmetic operations the balance amount for 28/03/20 and incoming amount for 29/03/20 is obtained as £ 747 and £ 210 respectively.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

The statement of bank account is given.

On 25/03/20 the balance amount left in bank was £ 1200.

On 28/03/20 the outgoing amount from the bank was £ 453.

To find the balance amount for 28/03/20, use the arithmetic operation of subtraction -

Balance amount = Previous Balance - Outgoing Amount

Substitute the values in the equation -

Balance amount = 1200 - 453

Balance amount = 747

Therefore, the balance amount for 28/03/20 was £ 747.

Now, On 29/03/20 the balance amount left in bank was £ 957.

To find the incoming amount for 29/03/20, use the arithmetic operation of subtraction -

Incoming Amount = New Balance - Previous Balance

Incoming Amount = 957 - 747

Incoming Amount = 210

Therefore, the incoming amount for 29/03/20 was £ 210.

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Answer:

X= 7 1/6

Step-by-step explanation:

-3/4x-5=3/8

-Add 5 on both sides

-3/4x=43/8

-Divide 3/4 on both sides

-X= 7 1/6 (there is no way for this not to be a fraction or decimal.)

Answer: 599 times

Step-by-step explanation: 3594/6=599

The total wage can only be an integer multiple of the wage per person.

The number of people working in the factory on a particular day can be calculated by dividing the total wage by the wage per person. This can be expressed mathematically as:

Number of People = Total Wage ÷ Wage per Person

For the given scenario, the number of people working on the day when the factory paid 9225 can be calculated as:

Number of People = 9225 ÷ 7175

Number of People = 1.287

Since the number of people has to be a whole number, this means that there were 1 people working in the factory on the day when the factory paid 9225. This is because when the wage per person is the same for everyone, the total wage can only be an integer multiple of the wage per person.

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Answer:

780

Step-by-step explanation: The answer is 780!

let the number be x and y

x + y = 30 -----(1)

x = y + 15 -----(2)

y + y + 15 = 30

2y = 15

y = 7.5

x = 7.5 + 15 = 22.5

x= 22.5 , y = 7.5

The value of w in the rhombus is 19 degrees

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

Angle CFD = 2w

Angle FED = 52 degrees

The figure is a rhombus

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

2w + 52 = 90

This is so because the angles in the base of the individual triangle are equal

Evaluate the like terms

2w = 38

Divide by 2

w = 19

hence, the solution is w = 19

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