18
If the mean for a data set was 8 and the standard deviation was 1.5, where would most of the data points be located?
A) Above 9.5
B) Between 6.5 and 9.5
Above 12
D) None of these answer choices are correct.

The maximum FUTA deductions for the first quarter is $1092.Because none of the given options correspond to this result, the correct answer is not listed.

The Federal Unemployment Tax Act (FUTA) tax rate is 6% on the first $7,000 paid to each employee in a calendar year. Therefore, the maximum FUTA deduction for each employee is $420 ($7,000 x 0.06).

Person 1 earned $4700, so the FUTA deduction for Person 1 is $282 ($4700 x 0.06).

Person 2 earned $19,800, but only the first $7,000 is subject to FUTA. Therefore, the FUTA deduction for Person 2 is $420.

Person 3 earned $6500, so the FUTA deduction for Person 3 is $390 ($6500 x 0.06).

The total FUTA deduction for the first quarter is the sum of the FUTA deductions for each employee:

$282 + $420 + $390 = $1092

Therefore, the maximum FUTA deductions for the first quarter is $1092.Because none of the given options correspond to this result, the correct answer is not listed.

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Answer:

30°

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

In a 30°-60°-90° right triangle, the sides are always in the ratio of 1: √3:2, where 1 is the length of the short leg opposite the 30° angle, √3 is the length of the long leg opposite the 60° angle, and 2 is the length of the hypotenuse opposite the 90° angle1234.

In this case, we are given that the long leg is 9√3, so we can use this value to find the other sides by setting up a proportion:

short leglong leg​=13​​

short leg93​​=13​​

Cross-multiplying and solving for the short leg, we get:

short leg=3​93​×1​=9

Similarly, we can use another proportion to find the hypotenuse:

long leghypotenuse​=3​2​

93​hypotenuse​=3​2​

Cross-multiplying and solving for the hypotenuse, we get:

hypotenuse=3​2×93​​=18

Therefore, the measure of the hypotenuse n is 18 and the measure of the short leg m is 9.

The attendance at the movie theatre is;

Children = 142

Students = 44

Adults = 71

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Here, we have

Given:

Seating capacity = 257

Charges: Children = $5.00; Students = $7.00; Adults = $12.00

Total sales of ticket = $1870

A number of children, students, and adults were present in the theatre.

Let A, C, and S represent adults, children, and students respectively.

There are half as many adults as there are children; this means that

A = ½C

If the total seat capacity is 257, then

A + C + S = 257

Also, if the total sales of tickets are $1870, then

12A + 7S + 5C = 1870

So, we have two equations to be solved simultaneously.

A + C + S = 257 --- (1)

12A + 7S + 5C = 1860 --- (2)

Substitute ½C for A in (1) and (2)

½C + C + S = 257

Multiply both sides by 2

2(½C + C + S) = 2 * 257

C + 2C + 2S = 514

3C + 2S = 514 ----- (3)

12(½C) + 7S + 5C = 1870

6C + 7S + 5C ,= 1870

6C + 5C + 7S = 1870

11C + 7S = 1870 --- (4)

Make S the subject of the formula in (3)

2S = 514 - 3C

S = ½(514 - 3C)

S = 257 - 1.5C

Substituton 257 - 1.5C for S in (4)

11C + 7(257- 1.5C) = 1870

11C + 1799 - 10.5C = 1870

Collect like terms

11C - 10.5C = 1870 - 1799

0.5C = 71

Multiply both sides by 2

2 * 0.5C = 2 * 71

C = 142

Recall that

S = 257 - 1.5C

S = 257 - 1.5(142)

S = 257 - 213

S = 44

Also, recall that

A = ½C

A = ½ * 142

A = 71

Hence, the attendance at the movie theatre is;

Children = 142

Students = 44

Adults = 71

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Step-by-step explanation:

Use a modified Pythagorean theorem for 3 -D

diagonal = sqrt ( 9^2 + 12^2 + 8^2 ) = sqrt(289) = 17  units

Answer:

a)

[tex]y = 7( {1.03}^{t} )[/tex]

[tex]y = 7( {1.03}^{5} ) = 8.11[/tex]

There were about 8.11 billion subscribers in 2019.

b)

[tex]7( {1.03}^{t}) = 7.5[/tex]

[tex]t = 2.33 \: years \: after \: 2014[/tex]

sometime in 2016

The equation x = 1/16y² - 1/8y + 17/16 in conic form is (y - 1)² = 16(x - 1)

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

x = 1/16y² - 1/8y + 17/16

Multply through the equation by 16

S, we have

16x = y² - 2y + 17

Rewrite as

16x - 17 = y² - 2y

Add the square of half the coefficient of y to both sides

So, we have

16x - 17 + 1 = y² - 2y + 1

Evaluate and express as perfect squares

16x - 16 = (y - 1)²

Factor out 16

16(x - 1) = (y - 1)²

Rewrite as

(y - 1)² = 16(x - 1)

The above equation is an equation of a parabola whose inverse has been calculated

Hence, the conic equation is (y - 1)² = 16(x - 1)

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Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

Answer:

45%

Step-by-step explanation:

72/160 = 0.45

0.45 x 100 = 45%

Answer: The California state sales tax rate is 7.25%. This rate is made up of a base rate of 6%, plus California adds a mandatory local rate of 1.25% that goes directly to city and county tax officials.

Step-by-step explanation:

Hope this helped! :)

Answer:

The slope-intercept form of the equation of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

We are given that the y-intercept is (0,2), which means that the value of b is 2.

We are also given that the slope is -2, which means that the value of m is -2.

Substituting these values into the slope-intercept form, we get:

y = -2x + 2

Therefore, the slope-intercept form of the equation of the line is y = -2x + 2.

Step-by-step explanation:

Answer:

that is correct just to give you feedback on that

The correct option is (D) if unit cubes are packed into a rectangular prism without any gaps or overlaps, the volume of the prism can be calculated by counting the number of unit cubes.

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases.

It also goes by the name cuboid.

Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism.

It is referred to as a prism because of the length of its cross-section.

There are 6 faces, 8 vertices, and 12 edges on a rectangular prism.

A rectangular prism's volume can be determined by packing unit cubes into it without any gaps or overlaps, then counting the number of unit cubes.

A rectangular prism's surface area is equal to the sum of the areas of each of its faces.

It can be calculated using the formula 2(lw+ wh+ hl).

Therefore, the correct option is (D) if unit cubes are packed into a rectangular prism without any gaps or overlaps, the volume of the prism can be calculated by counting the number of unit cubes.

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Answer:

To find the greatest common factor (GCF) of 8a^3b^2 and 12ab^4, we need to factor each term into its prime factors and then find the common factors.

8a^3b^2 can be written as:

8a^3b^2 = 2^3 * 2 * a * a * a * b * b

12ab^4 can be written as:

12ab^4 = 2^2 * 3 * a * b * b * b * b

The common factors are 2, a, and b^2.

Therefore, the GCF of 8a^3b^2 and 12ab^4 is:

2 * a * b^2 = 2ab^2

Maxwell's filing status can be described as: b. Married filing jointly.

A filing status is a category that defines your tax-filing status based on your marital status and family situation. The filing status determines tax rate and standard deduction, as well as the eligibility for certain credits, deductions, and exemptions.

Maxwell can be described as married filing jointly because he and his spouse combined their income, deductions, and credits on one tax return. This status generally results in lower tax rates and a larger standard deduction compared to filing separately.

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Therefore, The dilated image's vertices are as follows:B'(2 , 3)   C'(3 , 3)     D'(1 , 3)

It is not necessary for the dilation's center to be inside the form. It might be the polygon's vertices. The preimage is still a square in this case, but the center of the dilatation is at the top-left vertex, which is shared by both of the dilated pictures (one smaller and one larger).

To get the vertices of the dilated image, multiply each vertex's coordinate by a factor of three.

B(6,9)⇒B'(1/3×6,1/3×9) = B'(2 , 3)

C(9,9)⇒C'(1/3×9 , 1/3×9) = C'(3 , 3)

D(3,9)⇒D'(1/3×3 ,1/3×9) = D'(1 , 3)

The dilated image's vertices are as follows:

B'(2 , 3)   C'(3 , 3)     D'(1 , 3)

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it would take Cody 40 bushels / 5.26 bushels per hour = 7.61 hours to pick 40 bushels of apples alone.

To begin, let's determine Lisa's individual work rate, or the amount of work she can complete in an hour.

The work formula states that the amount of work completed is equal to the product of the work rate and the amount of time spent working. Lisa's work rate is 40 bushels divided by 13 hours equals 3.08 bushels per hour.

Let C represent Cody's work rate, and let t represent the amount of time it takes him to pick 40 bushels on his own.

At the point when Lisa and Cody cooperate, they pick 40 bushels, so we can compose:

Lisa's work + Cody's work = Total work

3.08 bushels/hour * 4.8 hours + C * 4.8 hours = 40 bushels

14.78 + 4.8C = 40

4.8C = 25.22

C = 5.26 bushels per hour

Consequently, it would take Cody 40 bushels/5.26 bushels each hour = 7.61 hours to pick 40 bushels of apples alone.

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The probability of drawing a green block followed by a yellow block with replacement is 0.03, or 3%.

The probability of an event is calculated by dividing the total number of possible outcomes by the number of possible outcomes.

The likelihood of drawing a green block on the main draw is:

P(green) = (number of green blocks) / (total number of blocks)

P(green) = 4 / (4 + 6 + 7 + 3)

P(green) = 4 / 20

P(green) = 0.2

Since the blocks are replaced after each draw, the probability of drawing a yellow block on the second draw is still:

P(yellow) = (number of yellow blocks) / (total number of blocks)

P(yellow) = 3 / (4 + 6 + 7 + 3)

P(yellow) = 3 / 20

P(yellow) = 0.15

To find the probability of both events happening, we multiply the probabilities:

P(green, then yellow) = P(green) * P(yellow)

P(green, then yellow) = 0.2 * 0.15

P(green, then yellow) = 0.03

As a result, replacing a yellow block with a green one has a chance of 0.03, or 3%, being drawn.

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Answer: To find d(L(x))/dx, we need to differentiate L(x) with respect to x using the derivative rules.

d(L(x))/dx = d/dx (sinx - cosx)

= cosx + sinx

Therefore, the correct answer is option A, cosx+sinx.

Step-by-step explanation:

Answer:

  11

Step-by-step explanation:

You want the degree of the monomial -3q⁴rs⁶.

The degree of a variable expression is its exponent. The degrees of the variables in the given expression are ...

  q: 4

  r: 1

  s: 6

The degree of their product is the sum of the exponents:

  monomial degree = 4 + 1 + 6 = 11

The degree is 11.

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The rewritten expression of y = x + 8/3x using the distributive property is y = x(1 + 8/3)

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

Y can represent the distance Frog B hopped as y=x+ 8/3 x.

This means that

y = x + 8/3x

Factor out x from the equation

So, we have

y = x(1 + 8/3)

The above equation has been rewritten using the distributive property.

Hence, the rewritten expression using the distributive property is y = x(1 + 8/3)

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The answer of the given question based on the Rectangular prism is , the surface area of the given triangular prism is 3360 cm².

A rectangular prism is a three-dimensional geometric shape with six rectangular faces. It is also known as rectangular parallelepiped or cuboid. A rectangular prism has a length (l), width (w), and height (h) and the formula for the volume of a rectangular prism is given as V = l * w * h.

To find the surface area of a triangular prism, we need to add up the areas of all of its faces. A triangular prism has two identical triangular bases and three rectangular faces.

First, let's find the area of the triangular base. We know that it is an isosceles triangle with a perpendicular height of 35 cm and base of 24 cm, and the length of the two equal sides is 37 cm. We can use the formula for the area of a triangle:

Area of base = (1/2) * base * height

Area of base = (1/2) * 24 cm * 35 cm

Area of base = 420 cm²

Since there are two identical bases, we can multiply this by 2 to get the total area of the triangular bases:

Total area of bases = 2 * 420 cm²

Total area of bases = 840 cm²

Now, let's find the area of the three rectangular faces. We know that the height of the prism is 35 cm, and the length of each rectangular face is equal to the base of the triangular base, which is 24 cm. To find the width of each rectangular face, we need to use the Pythagorean theorem to find the length of the altitude of the triangular base:

a² + b² = c²

where a and b are the two equal sides of the triangular base, and c is the base.

Substituting the given values, we get:

a² + b² = c²

37² + 12² = c²

1369 + 144 = c²

c² = 1513

c = √1513

c = 38.95 cm

Therefore, the altitude of the triangular base is approximately 35 cm, and we can use this value as the width of each rectangular face. So, area of each rectangular face is given:

Area of each rectangular face = length*width

Area of each rectangular face = 24 cm * 35 cm

Area of each rectangular face = 840 cm²

Since there are three identical rectangular faces, we can multiply this by 3 to get the total area of the rectangular faces:

Total area of rectangular faces = 3 * 840 cm²

Total area of rectangular faces = 2520 cm²

Finally, we can find the total surface area of the prism by adding the areas of the two triangular bases and the three rectangular faces:

Total surface area = Total area of bases + Total area of rectangular faces

Total surface area = 840 cm² + 2520 cm²

Total surface area = 3360 cm²

Therefore, the surface area of the given triangular prism is 3360 cm².

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Answer:

[tex]5 {a}^{2} b + 15a {b}^{2} = [/tex]

[tex]5ab(a + 3b)[/tex]

Answer:

just 2 outcomes

Step-by-step explanation:

no matter how often you throw it, there are only two sides available

Answer:

$23.30

Step-by-step explanation:

We Know

You paid $6.99

The shirt was 70% off

$6.99 = 30%

What was the original price of the shirt?

We Take

(6.99 ÷ 30) x 100 = $23.30

So, the original price is $23.30

The sales tax rate for the item is 3%.

To find the sales tax rate, we can divide the sales tax amount by the original cost of the item, and then multiply by 100 to express the result as a percentage.

Given:

Sales tax amount = $11.70

Original cost of item = $390

Sales tax rate = (Sales tax amount / Original cost of item) x 100

Plugging in the given values:

Sales tax rate = (11.70 / 390) x 100

Calculating:

Sales tax rate = 0.03 x 100

Final result:

Sales tax rate = 3%

So, the sales tax rate for the item is 3%.

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Answer: Simplifying

4x + 15 = 33 + -2x

Reorder the terms:

15 + 4x = 33 + -2x

Solving

15 + 4x = 33 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

15 + 4x + 2x = 33 + -2x + 2x

Combine like terms: 4x + 2x = 6x

15 + 6x = 33 + -2x + 2x

Combine like terms: -2x + 2x = 0

15 + 6x = 33 + 0

15 + 6x = 33

Add '-15' to each side of the equation.

15 + -15 + 6x = 33 + -15

Combine like terms: 15 + -15 = 0

0 + 6x = 33 + -15

6x = 33 + -15

Combine like terms: 33 + -15 = 18

6x = 18Divide each side by '6'.

x = 3

Simplifying

x = 3

so X=3 is your answer