Pounds of Apples
Total Cost (8
The table shows a relationship between the number of pounds of apples and
the total cost. Is the relationship proportional?
4
12
24
A No, because the total cost changes from one row to the next.
B No, because some possible numbers of pounds are not listed.
Yes, because the cost is always three times the number of pounds.
D
Yes, because each number of pounds is double the number before it in the table.

Answer:

× = 10 1/5

decimal form : 10.2

Answer:

566

Step-by-step explanation:

785-219=566

Answer:

725 112 hot dogs

Step-by-step explanation:

total=number of games × hot dogs per game

=81×8952

=725 112

Answer:

9852

81

9852×81

=798012

Answer:

The answer is = 3

Step-by-step explanation:

Answer:

11:7:12

Step-by-step explanation:

take x to be number of women

Total= 150

adults=(x+x+20)= 2x+20

children=(2x+20-30)= 2x-10

men =x+20

women=x

find the value of x

2x-10+x+20+x=150

2x+x+x+20-10+=150

4x+10=150

4x=150-10

4x=140. divide both sides by 4

x=35

thus.

men=(35+20)=55

women=35

children=70-10=60

ratio= 55:35:60.

simplify= 11:7:12

This will increase the probability of rejecting a false null hypothesis and accepting a true alternative hypothesis.The political advisor should ensure proper sampling, increase the alpha level, and have a larger sample size to reduce the risk of making a Type II error. A type II error is when a null hypothesis is accepted when it is false.

Suppose a political advisor is interested in the proportion of the vote an opponent will receive. If he samples voters randomly and tests hypotheses regarding p, the population proportion, he should do the following to reduce his risk of making a Type II error:To reduce the risk of making a Type II error, a political advisor interested in the proportion of the vote an opponent will receive, if he samples voters randomly and tests hypotheses regarding p, the population proportion should ensure that he has a larger sample size for testing. A larger sample size can help in making his results statistically significant and that the results are a true representation of the population.Proper sampling can also help to reduce the risk of a Type II error. Random sampling of the voters ensures that there is no bias in the selection process, which can skew the results. A random sample of voters is a fair representation of the population, and results obtained from a random sample are more likely to be accurate. This reduces the likelihood of a Type II error.The advisor should also increase the alpha level to reduce the risk of a Type II error. By increasing the alpha level, he is lowering the rejection region, which will reduce the likelihood of a Type II error. This will increase the probability of rejecting a false null hypothesis and accepting a true alternative hypothesis.The political advisor should ensure proper sampling, increase the alpha level, and have a larger sample size to reduce the risk of making a Type II error. A type II error is when a null hypothesis is accepted when it is false.

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x = 4/5

2/5=1/2x

Step 1: Flip the equation.

1/2x=2/5

Step 2: Multiply both sides by 2.

2*(1/2x)=2*(2/5)x=4/5

The minimized SOP expression for F(A,B,C,D,E) using a five-variable Karnaugh map is D'E' + BCE'. A five-variable Karnaugh map is a graphical tool used to simplify Boolean expressions.

The map consists of a grid with input variables A, B, C, D, and E as the column and row headings. The cell entries in the map correspond to the output values of the logic function for the respective input combinations.

To find the minimized SOP expression, we start by marking the cells in the Karnaugh map corresponding to the minterms given in the function: 2m(4,5,6,7,9,11,13,15,16,18,27,28,31). These cells are identified by their binary representations.

Next, we look for adjacent marked cells in groups of 1s, 2s, 4s, and 8s. These groups represent terms that can be combined to form a simplified expression. In this case, we find a group of 1s in the map that corresponds to the term D'E' and a group of 2s that corresponds to the term BCE'. Combining these groups, we obtain the expression D'E' + BCE'.

The final step is to check for any remaining cells that are not covered by the combined terms. In this case, there are no remaining cells. Therefore, the minimized SOP expression for the given logic function F(A,B,C,D,E) is D'E' + BCE'.

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The most appropriate measure of center is the mean which describes the average weight of oranges.

For the given data:

5,6,7,7,8,8,10,11,11,14,16,19,20,21

The most appropriate measure of center from the data given is the mean. The mean value gives the average weight of the oranges in the scenario given above.

The mean can be calculated thus :

(Sum of weight / Number of values)

Mean = (163 / 14)

Mean = 11.64

Hence, the most appropriate measure of center is the mean and it describes the average weight of oranges.

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99% confidence interval for the mean gas mileage for this car model is

(27.971, 28.829).

Given;

The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon.

A simple random sample of 36 cars of this model is chosen and found to have a mean gas mileage of 28.4 mi/gallon.

A = 1 - 0.990

   =0.010

Hence, Z (0.010/2) = 0.477 (from the standard normal table)

So 99% confidence interval is;

⇒ X - Z /- Z + X

= 28.4 - 0.477, 28.4 + 0.477

= (27.971, 28.829)

99% confidence interval for the mean gas mileage for this car model is

(27.971, 28.829).

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Answer:

it's 11

Have a good day!!

The expression "a = 4 or b > 2" is true when a = 2 and b = 4 because the second part of the expression, "b > 2", is true.

The given expression is "a = 4 or b > 2" where a = 2 and b = 4.

The first part of the expression is "a = 4", which is false because a is not equal to 4.

The second part of the expression is "b > 2", which is true because b is equal to 4, which is greater than 2.

Since the expression is an "or" statement, only one part of it needs to be true for the entire expression to be true. Therefore, the result of the expression is true.

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Answer: 10

Step-by-step explanation:

Since both points have the same y value, we just need to find the change of x, which would be the distance of the points.

Reading the points from left to right on an imaginary graph, point B would come first as it has the lesser x value.

To find the change of x subtract the x value of the second point from the first, so...

6 - (-4) = 10

The change of x = 10

The distance between the points is 10

Hope this helps!

The equations that arise when the steps of the Euclidean algorithm are reversed to express the greatest common divisor of each of these pairs of integers as a linear combination of these integers are:

1 = 10 - 3.3, 1 = 37.10 - 3.123, and 1 = 37.2347-706 - 123.

The Euclidean algorithm is a recursive method for finding the greatest common divisor (GCD) of two positive integers. When we divide the larger number by the smaller number, we obtain the remainder. The smaller number and the remainder are then passed on as input to the next round. The process continues until the remainder is zero, at which point the GCD is obtained.

The solution to the given problem is as follows:

We will use the Euclidean algorithm to compute gcd(123, 2347).

123 ÷ 2347 = 0 remainder 123.2347 ÷ 123 = 19 remainder 106.123 ÷ 106 = 1 remainder 17.106 ÷ 17 = 6 remainder 4.17 ÷ 4 = 4 remainder 1.4 ÷ 1 = 4 remainder 0.The last nonzero remainder we get is 1.

Therefore, the greatest common divisor (GCD)(123, 2347) = 1.

The greatest common divisor of 123 and 2347 can be expressed as a linear combination of the two numbers in the following ways:1 = 10 - 3.3, 1 = 37.10 - 3.123, and 1 = 37.2347-706 - 123.

Thus, the equations arising when the steps of the Euclidean algorithm are reversed to express the greatest common divisor of each of these pairs of integers as a linear combination of these integers are:

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Answer:

C

-5n^2-8n+4

Step-by-step explanation:

The value of the expression after adding will be;

⇒ - 5n² - 8n + 4

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The expression is,

⇒ (3n² - 5n + 6) + (- 8n² - 3n - 2)

Now,

Solve the expression as;

⇒ (3n² - 5n + 6) + (- 8n² - 3n - 2)

⇒ 3n² - 5n + 6 - 8n² - 3n - 2

⇒ - 5n² - 8n + 4

Thus, The value of the expression after adding will be;

⇒ - 5n² - 8n + 4

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According to given information, the algebraic expression that represents the total number of quarters that Jake and Molly have is: 32 + q.

What is algebraic expression?

An algebraic expression is a mathematical phrase that contains numbers, variables, and arithmetic operations, such as addition, subtraction, multiplication, and division. It can also include exponents, roots, and other mathematical symbols.

The algebraic expression that represents the total number of quarters that Jake and Molly have is:

32 + q

where 32 represents the number of quarters that Jake has on his desk and q represents the number of quarters that Molly has in her purse.

Adding these two quantities together gives the total number of quarters that Jake and Molly have.

Therefore, the algebraic expression that represents the total number of quarters that Jake and Molly have is:

32 + q

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Answer:

2.5 * 10⁷

Step-by-step explanation:

Answer:

25,000,000

Step-by-step explanation:

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

Where (from tables):

Finally, the interval at 98% confidence level is:

The length of the path described by the parametric equations

 is 3/2units.

We can find the length of the path described by the parametric equations x=cos³t and y=sin³t by using the arc length formula.

The arc length formula for a parametric curve given by:

x=f(t) and y=g(t) is given by:

L = ∫[a,b] √[f'(t)² + g'(t)²] dt

where f'(t) and g'(t) are the derivatives of f(t) and g(t), respectively.

In this case, we have:

x = cos³t, so x' = -3cos²t sin t

y = sin³t, so y' = 3sin²t cos t

Therefore,

f'(t)² + g'(t)² = (-3cos²t sin t)² + (3sin²t cos t)²

= 9(cos⁴t sin²t + sin⁴t cos²t)

= 9(cos²t sin²t)(cos²t + sin²t)

= 9(cos²t sin²t)

Thus, we have:

L = ∫[0,2π] √[f'(t)² + g'(t)²] dt

= ∫[0,2π] √[9(cos²t sin²t)] dt

= 3∫[0,2π] sin t cos t dt

Using the identity sin 2t = 2sin t cos t, we can rewrite the integral as:

L = 3/2 ∫[0,2π] sin 2t dt

Integrating, we get:

L = 3/2 [-1/2 cos 2t] from 0 to 2π

= 3/4 (cos 0 - cos 4π)

= 3/2

Therefore, the length of the path described by the parametric equations x=cos³t and y=sin³t is 3/2 units.

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Answer:

7^2

Step-by-step explanation:

i hope this helps :)

Answer:

49

Step-by-step explanation:

Exponent properties state that when two like bases are being divided, the exponents can be subtracted. So the first step in simplifying is to subtract the two exponents, 4-2=2. This leaves the fraction as \(\frac{7^{2} }{7^{0} }\), since anything to the power of 0 is just 1, the simplified expression is \(7^{2}\). Then, because they are both constants, 7 can just be squared. This equals 49.

Answer:

Step-by-step explanation:

\(93^\circ52'12"=93^\circ52\frac{12}{60}'=93^\circ52\frac{1}{5}'=93^\circ\frac{261}{5}'=93\frac{261}{5 \times 60}^\circ=93\frac{87}{100}^\circ=93.87^\circ\)

Answer:

Step-by-step explanation:

This is a ratio problem using triangles. 8 and x are part of the smallest triangle at the top. The next triangle down has a side length of 8 + 9 which is 17, and the other side length of x + 12. So we proportion the problem like that:

\(\frac{8}{x} =\frac{17}{12+x}\)

Then cross multiply to get

8(12 + x) = 17x and

96 + 8x = 17x and

96 = 9x so

x = 10.666666

or 10.7

The last choice in the list.

Answer:

A

Step-by-step explanation:

if they had watched tv or read a book it would've said so.

The total number of students who watch television and read a book is 14, the total number of students who watch television is 27, and the total number of students who read a book is 2.

Given :

Let the total number of students who do both be 'a'. So, the total number of students is:

\(n = (16-a)+(41-a)+a+7\)

where 'n' is the total number of students.

Now, substitute the value of 'n' in the above expression.

\(50 = (16-a)+(41-a)+a+7\)

Simplify the above expression in order to determine the value of 'a'.

\(a = 14\)

a) So, the total number of students who watch television and read a book is 14.

b) The total number of students who watch television is 27.

c) The total number of students who read a book is 2.

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Answer:

v=18

Step-by-step explanation:

26=8+v

Swap sides:

8+v=26

Subtract 8 from both sides:

8+v-8=26-8

Group like terms:

v+8-8=26-8

Simplify the arithmetic:

v=26-8

v=18

Given that tanx=10 and sinx is positive, Therefore, `sin(2x) = 20/101`, `cos(2x) = 0`, and `tan(2x) = -1/5`.

We can start by using the identity:

\(tan^2(x) + 1 = sec^2(x)\)

to solve for cos(x) and sec(x)

Since `tan(x) = 10` we have:

\(tan^2(x) = 100\)

Using the identity\(tan^2(x) + 1 = sec^2(x)\) we get:

\(sec^2(x) = tan^2(x) + 1 = 100 + 1 = 101\)

So \(sec(x) = \sqrt{101}\).

Since `sin(x)` is positive and\(sin^2(x) + cos^2(x) = 1\), we can use\(cos(x) =\sqrt{ (1 - sin^2(x))}\)to solve for `cos(x)`.

Using \(tan(x) = sin(x)/cos(x)\)we can solve for `sin(x)`:

\(tan(x) = sin(x)/cos(x)\)

\(10 = sin(x)/\sqrt{101}\)

\(sin(x) = 10 * \sqrt{101} /101\)

Now that we have `sin(x)` and `cos(x)`, we can use the double angle formulas:

sin(2x) = 2sin(x)cos(x)

cos(2x) = cos^2(x) - sin^2(x)

\(tan(2x) =\frac{ (2tan(x))}{(1 - tan^2(x))}\)

Plugging in the values we calculated earlier, we get:

\(sin(2x) = 2(10 *\sqrt{101}/101) * (1/\sqrt{101} ) = 20/101`\)

cos(2x) = (1 - 101/101) = 0

tan(2x) = (2 * 10)/(1 - 100) = -1/5

Therefore, `sin(2x) = 20/101`, `cos(2x) = 0`, and `tan(2x) = -1/5`.

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Answer:

Step-by-step explanation:

Given the equation 1 – (2x + 4) = –4x + 5, we are to find the correct solution of the equation;

Step 1: Open the parenthesis;

1 – (2x + 4) = –4x + 5

1-2x-4 = -4x + 5

1-4-2x = -4x +5

-3-2x = -4x + 5

Step 2: Collect like terms

-2x + 4x = 5 + 3

2x = 8

Step 3: divide both sides by 2;

2x/2 = 8/2

x = 4

Hence the correct value of x is 4

Answer:

\(h+3s= 35--------1\\\\2h+s= 20--------2\)

Step-by-step explanation:

Given data

let hats be h

and shirts be s

Rob brought a hat and 3 shirts for 35$. Dan brought 2 hats

h+3s= 35--------1

and a shirt for 20$

2h+s= 20--------2

Hence the systems of equations is given as

h+3s= 35--------1

2h+s= 20--------2

The system of equations has two-equations \(h+3s=35\) and \(2h+s=20\).

Important information:

Let s be the cost of one shirt and h be the cost of one hat.

Rob brought a hat and 3 shirts for 35$.

\(h+3s=35\)         ...(i)

Dan brought 2 hats and a shirt for 20$.

\(2h+s=20\)        ...(ii)

Therefore, the system of equations has two-equations \(h+3s=35\) and \(2h+s=20\).

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Answer:

what percent of 60 is 45, = 45/60 = x/100 = 75%,  16 is 20% of what number = 16/x = 20/100 = 80 not 75,  12.6 is 28%of what number = 45

Step-by-step explanation:

just trust me this would be to long to put on this space but if you have any queztions on why I ordered it this way just ask me.