In a study, 1,085 out of 2,321 people did not receive a flu
vaccination. 465 people were vaccinated and tested positive
for the flu. A total of 1,371 participants tested negative.
Create a two-way table for this scenario.

Answer:

The mean of the data set is 5.

Step-by-step explanation:

Add the numbers in the data set:

6+3+16+12+21+8+9

= 75

Then divide by the amount of values in the data set:

75/15

=5

The mean of this given data set is 15.

Given:

Find:

Solution:

A mean is the average of a data set.

We find the mean by adding all numbers together and then dividing the sum of the numbers by the number of numbers.

Now, a summation of number = 2+4+4+7+2+6+7+4+8+2+3+6+9+4+7 = 75

Now, there are total of 15 data given.

Therefore, mean = 75/15 = 5.

Hence, the mean of the given data set is 15.

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Expand

2 × 5x + 2 × 3

Simplify 2 × 5x to 10x

10x + 2 × 3

Simplify 2 × 3 to 6

= 10x + 6

The expanded expression in standard form for the given equation  is [tex]\(25x^2 + 30x + 9\).[/tex]

To expand the expression [tex]\((5x + 3)^2\)[/tex], we use the distributive property, which states that for any real numbers [tex]\(a\), \(b\), and \(c\):[/tex]

[tex]\((a + b)^2 = a^2 + 2ab + b^2\).[/tex]

In this case,[tex]\(a = 5x\)[/tex] and[tex]\(b = 3\)[/tex]. Substituting these values into the formula, we get:

[tex]\[(5x + 3)^2 = (5x)^2 + 2(5x)(3) + 3^2\][/tex]

Now, let's compute each term:

1.[tex]\( (5x)^2 = 25x^2 \) (since \((a)^2 = a \times a\)).[/tex]

2. [tex]\(2(5x)(3) = 30x\) (by multiplying \(2ab\) where \(a = 5x\) and \(b = 3\)).[/tex]

3. [tex]\(3^2 = 9\).[/tex]

Now, summing up all the terms, we get:

[tex]\[ (5x + 3)^2 = 25x^2 + 30x + 9 \][/tex]

So, the expanded expression in standard form is [tex]\(25x^2 + 30x + 9\).[/tex]

Complete question:

Expand the expression (5x + 3)2, and write the result in standard form.

Answer:

21 + 3a

Step-by-step explanation:

3 (7+a)

distribute 3 into parentheses:

21 + 3a

The distributive property states that one should simplify the expression by multiplying each term inside the parentheses by the term outside of them:

3*7=21

3*a=3a

21+3a

Hope this helps!!

I take it the constant in this case it'll just be the coefficient, thus

[tex]\bf -\cfrac{2a^3}{7}\implies \stackrel{\stackrel{constant}{\downarrow }}{-\cfrac{2}{7}}a^3[/tex]

A=apple o=orange a=avocado

6A+6o+6a=19.50

Happy To Help! :D

Answer:

x + y + z = 3.25

Step-by-step explanation:

We are given that Ed buys six apples, six oranges and six avocados and their total cost is $19.50.

We are to write an equation representing this.

Assuming apples to be x, oranges to be y and avocados to be z, we can write it as:

[tex] 6 x + 6 y + 6 z = 1 9 . 5 0 [/tex]

Simplifying it by taking the common out to get:

[tex]x+y+z=3.25[/tex]

Answer:

x=-1/7

Step-by-step explanation:

6(4x+5)=3(x+8)+3

Distribute

24x +30 = 3x+24 +3

Combine like terms

24x+30 = 3x +27

Subtract 3x from each side

24x-3x+30 = 3x-3x+27

21x +30 = 27

Subtract 30 from each side

21x +30-30 = 27-30

21x = -3

Divide each side by 21

21x/21 = -3/21

x = -1/7

Answer:

-1/7

-0.14

Step-by-step explanation:

Answer:

A: 700

B: 6400

C: 50

Step-by-step explanation:

A: You can multiply by 5

B: You can just multiply by 20.

C: Every 10% is 5, because 15(30%)/3 is 5. 5 times 10 is 50.

Answer:

a. h = 700

b. j = 6400

c. g = 50

Step-by-step explanation:

Translate each statement into an equation and solve the equation. Remember that to change a percent to a decimal, you divide the percent by 100, which is the same as moving the decimal point two places to the left. Also, a percent of a number means a percent times the number.

a. 20% of h is 140

20% * h = 140

0.2h = 140

Divide both sides by 0.2

h = 700

b. 5% of j is 320

5% * j = 320

0.05j = 320

Divide both sides by 0.05

j = 6400

c. 30% of g is 15

30% * g = 15

0.3g = 15

Divide both sides by 0.3

g = 50

Answer: 138.16 in²

Step-by-step explanation:

You need to use this formula to calculate the surface area of the cone:

[tex]SA = \pi r^2 + \pi rl[/tex]

Where "r" is the radius, "h" is the height and "l" is the slant height.

To find the height you need to use the Pythagorean Theorem:

[tex]a^2=b^2+c^2[/tex]

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

In this case:

[tex]a=l=7in\\\\b=r=\frac{8in}{2}=4in\\\\c=h[/tex]

("r" is the radius and "h" is the height and "l" is the slant height.)

You need to find "h". Then, solving for "h", you get:

[tex]h=\sqrt{(7in)^2-(4in)^2}\\h=5.74in[/tex]

Then, substituting values into the formula, you get:

[tex]SA = (3.14)(4in)^2 + (3.14) (4in)(7in)=138.16in^2[/tex]

Answer:

x=178

Step-by-step explanation:

Since 53 is being added to x, you will subtract 53 from both sides. 231-53 equals 178, therefore x=178

The equation representing the price of the shirt s, the number of students n and P is Option A.

sn = P

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of students be = n

Let the cost of each shirt be = s

The equation will be ,

So , the total cost of the shirt P = number of students x cost of each shirt

Total cost of the shirt P = n x s

So , the equation representing the proportional relationship is

P = ns

sn = P

Hence , The equation representing the price of the shirt s, the number of students n and P is Option A.

sn = P

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Answer:

(1,4)

Step-by-step explanation:

Answer:

The correct answer is (0,4)

Step-by-step explanation:

Answer:

19.32

Step-by-step explanation:

if 77.28 divided by 4.0 do long division and once you do that check yourself to see if you are correct

I hope I helped you guys! :)

Answer:

19.32

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

slope = m = (difference in y)/(difference in x)

m = (-3 - 7)/(4 - 9)

m = -10/(-5)

m = 2

Answer:

the answer is 5.5

explanation:

just did the test

Answer: The uper quatile Q3=15.75

Step-by-step explanation:

Q3=3/4(N+1)

Q3=3/4(20+1)

Q3=3/4(21)

Q3=63/4

Q3=15.75

Answer:

For a question to be statistical it has to have a specific population, room for a clear response, and a variability in the data.

An example of a statistical question is, "What is the typical amount of time it takes for a piece of gum to lose its flavor?" This is statistical because it accounts for a clear response, population, and variability.  

Answer:

The question asks for a quantitative response.

Step-by-step explanation:

I did the 8.01 test, C was the correct answer.

Good luck FLVS students

For this case we must simplify the following expression:

[tex]\frac {\frac {5} {6}} {\frac {3} {8}} =[/tex]

Applying double C we have:

[tex]\frac {5 * 8} {6 * 3} =\\\frac {40} {18} =[/tex]

Dividing numerator and denominator between 2:

[tex]\frac {20} {9}[/tex]

ANswer:

[tex]\frac {20} {9}[/tex]is the simplified form

The least common multiple (LCM) of the denominators 6/8 and 4/32 is 12.

The least common multiple (LCM) of two numbers is the smallest number that is divisible by both numbers.

To find the LCM of the denominators 6/8 and 4/32, we need to find the LCM of 6 and 4.

The LCM of 6 and 4 is 12.

Therefore, the LCM of 6/8 and 4/32 is 12.

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To find the LCM of the denominators 8 and 32, we prime factorize them, identify the highest power of each prime number, and multiply these together. The LCM of 8 and 32 is 32.

To find the Least Common Multiple (LCM) of the denominators from the fractions 6/8 and 4/32, follow these steps:

Identify the denominators: 8 and 32.

Prime factorize each denominator:

Identify the highest power of each prime number that appears in the factorizations. Here, the highest power of 2 is 2⁵.

Multiply the highest powers of all the primes together to find the LCM: LCM = 2⁵ = 32.

So, the LCM of the denominators 8 and 32 is 32.

Answer:

there would be 40 slices of pizza

Step-by-step explanation:

If 5 pizzas each have 8 slices you multiply 5 X 8 which equals 40 slices

Answer:

there would be 40 slices of pizza.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]tangent=\dfrac{opposite}{adjacent}\\\\\text{We have}\\\\opposite=8cm\\adjacent=6cm\\\\\text{substitute:}\\\\\tan B=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}[/tex]

Answer:

Yes, because the Jaspers paid a higher percentage of their income in sales tax than the Roosevelts did.

Step-by-step explanation:

Regressive tax is a constant, instead of a percentage of income. Those with a lower income would pay a higher percentage of their income. Both families, irregardless of income, paid $16,000 in taxes.

APEX

Answer:

Yes, because the Jaspers paid a higher percentage of their income in sales tax than the Roosevelts did.

Step-by-step explanation:

A regressive tax is one that collects a smaller percentage of the income as the person earns more. That is to say that at higher profit or higher income, the percentage of taxes that must be paid on the total tax base is lower.

In this way the poor are relatively more affected than the rich.

The Roosevelts made $91.000 (high income)

The Jaspers made $37.000 (low income)

But both paid the same sales tax rate of $16,000.

This type of tax does not have a redistribution effect of wealth. On the contrary, if it is a very high tax, it can accentuate inequality in a society.

Answer:

36 boxes

Step-by-step explanation:

For this case we have to increase two boxes each time we go to the next row. So:

1 row: 1

2 row: 3

3 row: 5

4 row: 7

5 row: 9

6 row: 11

7 row: 13

Adding the number of boxes we have:

[tex]1 + 3 + 5 + 7 + 9 + 11 + 13 = 49[/tex]

There are 49 boxes!

Answer:

Option D

Answer:

Option D. [tex]44\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

[tex]A=\frac{1}{2}[b1+b2]h[/tex]

we have

[tex]b1=8\ cm[/tex]

[tex]b2=(4+8+2)=14\ cm[/tex]

[tex]h=4\ cm[/tex]

substitute the values

[tex]A=\frac{1}{2}[8+14](4)=44\ cm^{2}[/tex]

Answer:

D. 44cm^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 pounds

Answer:

8 pounds

Step-by-step explanation:

the value of x always equals zero

Answer:

The slope is zero.

Step-by-step explanation:

The y-int is -3, the slope can't be 3, and the value of x isn't equal to y, if it was the lines would be intersecting

Answer:

Step 1 is incorrect.

Step-by-step explanation:

The slope = difference of y values / difference of x values so Step 1 is incorrect. The slope is (6-3)/ ((4 - (-2)) = 1/2. He worked out x differences / y differences.

Answer: A: In step 1, the slope of the line should be 1/2.

Answer:

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

We have the points (1, 2) and (-3, 5). Substitute:

[tex]d=\sqrt{(-3-1)^2+(5-2)^2}=\sqrt{(-4)^2+3^2}=\sqrt{16+9}=\sqrt{25}=5[/tex]

Lower quartile=25% of total frequency/numbers in the data set

Median=50% of total frequency/numbers in the data set

Upper quartile=75% of total frequency/numbers in the data set

Hope this helps:)

Answer:

see explanation

Step-by-step explanation:

To obtain the quartiles arrange the data in ascending order

38, 47, 54, 60, 67, 68, 76, 77, 84, 89

Q₂ is the median

The median is the middle value in the data set. If there is no exact middle value then it is the average of the 2 values either side of the middle

Q₂ = [tex]\frac{67+68}{2}[/tex] = 67.5

Q₁ is the lower quartile and is the middle value of the data to the left of the median

Q₁ = 54

Q₃ is the upper quartile and is the middle value of the data to the right of the median

Q₃ = 77

Answer:361

Step-by-step explanation:

The sample size in this scenario is defined by the total number of letters received by the member of Congress, regardless of their stance on the bill. Therefore, the sample size is 361.

In statistics, the term 'sample size' refers to the number of observations or measurements used in a study or experiment. In this particular case, the member of Congress is interested in the views of her constituents on a proposed gun-control bill. The total number of letters received - regardless of whether those letters support or oppose the bill - forms the sample size.

In this context, the total number of letters is 361, so option C is the correct answer. It doesn't matter how many of these letters were in favor or against the bill; all of them constitute the sample. The number of letters opposing the bill (323) is a part of the total sample, not the sample size itself.

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Answer:

it is 20

Step-by-step explanation:

5 * 20 = 100

100 - 10 = 90 which equals a angle in a right angle triangle

Answer:

The value of x is 11 ⇒ answer B

Step-by-step explanation:

* lets check the properties of the square

- Its four aides are equal

- Its four angles are equal and the measure of each one is 90°

- Its diagonals bisect its vertices

∵ BD is a diagonal of the square

∴ BD bisects angle B

∴ m∠ABD = m∠CBD

∵ B is a vertex of the square

∴ m∠B = 90°

∴ m∠ABD = m∠CBD = 90 ÷ 2 = 45°

∵ m∠ABD = (5x - 10)°

∴ (5x - 10)° = 45° ⇒ add 10 to each side

∴ 5x = 55 ⇒ divide both sides by 5

∴ x = 11

* The value of x is 11

Answer:

30 ft

Step-by-step explanation:

It is 30 because to find the volume of a rectangular prism, you do

length x width x height.

So, 5 x 2 x 3 = 30.

To find the volume of a rectangular prism, multiply its length, width, and height. Thus, the volume of the fish tank measuring 5 feet in length, 2 feet in width, and 3 feet in height is 30 cubic feet.

The volume of a rectangular prism such as a fish tank can be calculated by multiplying its length, width, and height together. For a fish tank with a length of 5 feet, a width of 2 feet, and a height of 3 feet, the volume calculation would look like this:

Volume = Length × Width × Height

Volume = 5 ft × 2 ft × 3 ft

Volume = 10 ft × 3 ft

Volume = 30 ft³

Therefore, the volume of the fish tank is 30 cubic feet.