You are charged $9.2 in total for a meal. Assuming that the local sales tax is 7.7%, what was the menu price of this item?

Answer:

to figure out x, divide 5x by 5

to figure out 5x, times x by 5,

to figure out 5x-1 take away 1 from the answer in the middle column

Answer:

B

Step-by-step explanation:

Answer:  expect to lose 679.07 dollars

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Explanation:

Assuming each free throw is independent of any other, the probability of making the next free throw is 359/449

The probability of making 3 in a row is (359/449)^3 = 0.511145 approximately which represents the probability of earning the $39

That must mean 1-0.511145 = 0.488855 is the approximate probability of losing $43

Let's make a table of outcomes and their associated probabilities.

X = amount of money the player earns (the person shooting the free throws)

\(\begin{array}{|c|c|} \cline{1-2}\text{X} & \text{P(X)}\\\cline{1-2}39 & 0.511145\\\cline{1-2}-43 & 0.488855\\\cline{1-2}\end{array}\)

Then from here we'll multiply each X and P(X) value for each separate row.

Example: 39*0.511145 = 19.934655

Let's form a third column of these products

\(\begin{array}{|c|c|c|} \cline{1-3}\text{X} & \text{P(X)} & \text{X}*\text{P(X)}\\\cline{1-3}39 & 0.511145 & 19.934655\\\cline{1-3}-43 & 0.488855 & -21.020765\\\cline{1-3}\end{array}\)

Add up everything in the X*P(X) column and you should get roughly -1.08611 which rounds to -1.09

The player expects, on average, to lose about $1.09 each time they play this game. Playing 623 times means they should expect to lose 623*1.09 = 679.07 dollars

Of course, given the nature of this random process, it's not a guarantee they will lose this amount. This is just the average of many attempts.

Answer:

X       H(x)=2x+3

-4       -5

0        3

1         5

2        7

3        9

Answer:

2.5 %

Step-by-step explanation:

P(A | B) = P(A∩B) / P(B)

2.5%

The probability of this occurring when he has less than 11.5 oz of cola will be 0.02275.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A 12-ounce container of Bubbly cola has a mean volume of 12 oz, with a standard deviation of 0.25 oz. He has under 11.5 oz of cola.

Then the z-score is given as,

z = (11.5 - 12) / 0.25

z = -2

Then the probability is given as,

P(x < 11.5) = P(z < -1)

P(x < 11.5) = 0.02275

The probability of this occurring when he has less than 11.5 oz of cola will be 0.02275.

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Answer:

2-18

4-16

8-24

9-36

10-40

Step-by-step explanation:

they are all multiples of 4, because every cup of cornmeal is 4 gallons of water

Answer:

2:8

4: __

8:32

9:36

10:40

Step-by-step explanation:

I got the same question too but for 4:__ I got it wrong all I know is that it wouldn't be 12! Sorry that I couldn't finish all of it!!  

Answer:

listed below.

Step-by-step explanation:

So basically its 420x420 which is 176400 which applies to all of these.

SO insert 1600 into Data Set 1.

For Data set II will be 69x69=4761

That is all you need. STAY SAFE!

Answer:

Find the exact value of tan 45º = 1/1 = 1.

Find the exact value of cos 30º = √3/2.

Find the exact value of csc 60º = 2√(3)/3

Step-by-step explanation:

math

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

We will conclude that:

Let's study the two functions.

The exponential function is given by:

f(x) = A*e^x

You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:

y > 0.

For the logarithmic function we have:

g(x) = A*ln(x).

As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:

\(\lim_{x \to \infty} ln(x) = \infty \\\\ \lim_{x \to0} ln(x) = -\infty\)

So the range of the logarithmic function is the set of all real numbers.

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Answer:

x = 4√2

Step-by-step explanation:

Identifying the triangle in the diagram:

45-45-90 triangle rules:

Finding x:

Since the hypotenuse is 8 units long and, we can find x by setting 8 equal to x√2:

(8 =  x√2) / √2

8/√2 = x

Rationalize the denominator to simplify:

(8/√2) * (√2/√2)

8√2 / 2

4√2

Thus, x = 4√2

Answer:

x<3

Step-by-step explanation:

\( - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ 8x - 6x < - 4 + 10 \\ 2x < 6 \\ x < 3\)

Chenelle can travel at most 160 miles without exceeding her spending limit of $300.

We have,

To determine the maximum number of miles Chenelle can travel without exceeding her spending limit of $300, we need to subtract the flat rate from her budget and divide the remaining amount by the cost per mile.

So,

Subtract the flat rate from Chenelle's budget:

Budget after subtracting the flat rate.

= $300 - $19.95

= $280.05

Divide the remaining budget by the cost per mile to find the maximum number of miles:

Maximum miles = Budget after subtracting the flat rate / Cost per mile

= $280.05 / $1.75

Using division.

Maximum miles = 160.028571

Therefore,

Chenelle can travel at most 160 miles without exceeding her spending limit of $300.

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Answer:

12%

Step-by-step explanation:

Its is correct

Answer:

I got it!

Step-by-step explanation:

For question a: x = 4

For question b: y = 4

Answer: 129 minutes in total

Step-by-step explanation:

1 2/5 hours in decimal form 1.4 hours

1.4 hours = 84 minutes

84 + 45 = 129 minutes

Answer: Well it depends if their land had rich soil or not and it depends on the weather and climate and where they settle near the equator or not so their crops (food) could grow faster and if they had enough farmers to take care of the crops as they were growing .

Step-by-step explanation:

The value of function f (4) is,

⇒ f (4) = 19

We have to given that;

The function is,

⇒ f (x) = x² + 3

Now, WE can find the value of f (4) by substitute x = 4 in above function as,

⇒ f (x) = x² + 3

Plug x = 4;

⇒ f (4) = 4² + 3

⇒ f (4) = 16 + 3

⇒ f (4) = 19

Thus, The value of function f (4) is,

⇒ f (4) = 19

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Answer:x^5

Step-by-step explanation:

\(\sqrt[b]{x^a}\) = x^(a/b)

\(\sqrt[6]{x^5}\) = x^(5/6)

(x^(5/6))^7

multiply 7 by numerator 5

x^(35/6)

x^(35/6)

\((\sqrt[6]{x^5} )^7\) expression can be written in rational exponent as \(x^\frac{35}{6}\)

An expression is combination of variables, numbers and operators.

The given expression is \((\sqrt[6]{x^5} )^7\)

We have an exponential property \(\sqrt[b]{x^a} =x^\frac{a}{b}\)

By using this property we solve the given expression  \((\sqrt[6]{x^5} )^7\)

We have to convert to rational exponent.

\((\sqrt[6]{x^5} )^7=(x^\frac{5}{6})^7\)

=\(x^\frac{35}{6}\)

Hence, \((\sqrt[6]{x^5} )^7\) expression can be written in rational exponent as \(x^\frac{35}{6}\)

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Correlation analysis is a statistical technique used to measure the strength of the relationship between two variables. it is a true statement

Is correlation the measure of strength between two variables?

The relationship between two variables is generally considered strong when their r value is larger than 0.7. The correlation r measures the strength of the linear relationship between two quantitative variables.

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Answer:

angle O is equal to 41°

I hope it's helps you

Answer:

there the same

Step-by-step explanation:

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Answer:

There would be

- 12 bags of 1/6-ounce rice.

- 6 bags of 1/3-ounce of rice.

- 4 bags of 1/2-ounce of rice.

-The line plot is presented in the attached image to this answer.

1) There are 22 bags that weigh at least 1/6 of an ounce.

2) There are 4 bags that weigh more than 1/3 of an ounce.

3) The combined total of the 1/2-ounce bags = 2 ounces.

4) The average weight of the bags = (3/11) of an ounce.

Step-by-step explanation:

Complete Question

Raine divides three 2-ounce bags of rice into smaller bags. The first bag is divided into bags weighing 1/6-ounce each, the second bag is divided into bags weighing 1/3-ounce each and the third bag is divided into bags weighing 1/2- ounce each. Find the number of 1/6, 1/3 and 1/2 bags and graph it in a line plot.

1) How many bags weigh at least 1/6 of an ounce?

2) How many bags are more than 1/3 of an ounce?

3) What is the combined total of the 1/2 ounce bags?

4) What is the average weight of each of the bags?

Solution

Let the number of 1/6-ounce, 1/3-ounce and 1/2-ounce bags be x, y and z respectively.

(1/6) × x = 2

x = 2 × 6 = 12 bags of 1/6-ounce rice.

(1/3) × y = 2

y = 2 × 3 = 6 bags of 1/3 ounce of rice.

(1/2) × z = 2

z = 2 × 2 = 4 bags of 1/2-ounce rice.

The line plot is presented in the attached image to this answer.

1) All of the bags weigh at least 1/6 of an ounce. Hence, the number of bags that weigh more than 1/6 of an ounce = 12 + 6 + 4 = 22 bags

2) The bags that weigh more than 1/3 of an ounce are the 1/2-ounce bags, and there are only 4 of them. Hence, 4 bags weigh more than 1/3 of an ounce.

3) Combined total of the 1/2 ounce bags

= 4 bags × (1/2-ounce per bag) = 2 ounces.

4) The average weight of the bags is given as the sum total of the weight of the bags divided by the number of bags.

Total weight of the bags = [12 × (1/6)] + [6 × (1/3)] + [4 × (1/2)] = 2 + 2 + 2 = 6 ounces.

Total Number of bags = 12 + 6 + 4 = 22 bags

Average weight of the bags = (6/22) = (3/11) ounce per bag.

Hope this Helps!!!

Answer:

Coefficient of variation (weight) = 15%

Coefficient of variation (volume) = 25%

Step-by-step explanation:

Let's begin by listing out the given information:

Population = 200, Average weight = 26 lb,

standard deviation (weight) = 3.9 lb,

Average volume = 8.8 ft³,

standard deviation (volume) = 2.2 ft³

Based on the data given, the manager will have to make a deduction by comparing the relative scatter of both variables due to the different units of measuring weight (pounds) and volume (cubic feet).

To compare the variation of the weight and volume, we use the coefficient of variation given by the formula:

Coefficient of Variation = (Standard deviation ÷ Mean) * 100%

⇒ \(C_{v}\) = (σ ÷ μ) * 100%

For weight

σ = 3.9 lb, μ = 26 lb

\(C_{v}\) (weight) = (3.9 ÷ 26.0) * 100% = 15%

\(C_{v}\) (weight) = 15%

For volume

σ = 2.2 ft³, μ = 8.8 ft³

\(C_{v}\) (volume) = (2.2 ÷ 8.8) * 100% = 25%

\(C_{v}\) (volume) = 25%

∴ the relative variation of the volume of the package is greater than that of the weight of the package

Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

27 can be written as a product of 3 and 9, where 9 is a perfect square.

In mathematics, a perfect square is an integer that is equal to the square of another integer. In other words, a perfect square is a non-negative integer that can be expressed as the product of an integer with itself.

To write 27 as a product of two integers such that one of the factors is a perfect square, we need to find a perfect square that divides 27.

The perfect square that divides 27 is 9, which is equal to \(3^2\).

So, we can express 27 as the product of two factors, 3 and 9. One of the factors, 9, is a perfect square because it is equal to \(3^2\). Therefore, we have written 27 as a product of two integers where one of the factors is a perfect square.

We can also express 27 as 1 x 27 or 27 x 1, but neither of these representations includes a perfect square as a factor.

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Answer:

Your answer should be 8g^15

Step-by-step explanation:

If cubed (power of 3) is on a parenthesis, that means you have to cube every expression inside that parenthesis. In order to distribute exponents, mutliply them. This gives you g^5 times ^3, which is g^15. ^3 has to also be distributed to the 2, which is 2^3 = 8. 8 and g^15 is 8g^15.

Answer:

-26

Step-by-step explanation:

y=mx+c

m= (y2 - y1 ) / (x2-x1)

m= (10-1) / (48 -36)

m = 0.75

10 = 0.75(48) + c

c = 10 - 36

c = -26