the two branches of the study of statistics are generally reffered to as

Answer:

A

Step-by-step explanation:

The area (A) is calculated using

A = [tex]\frac{1}{2}[/tex] bc sinA ← substitute values

A = 0.5 × 14 × 8 × sin30° = 28 units² → A

Answer:

15' x 20' = 300 square foot

2,275 x 300 = 7.583

17 x 22 = 374

374 x 7.583 = 2,836.042

Which you have to round to the nearest dollar

2,836.042 which will come out to be $2,837.00

Step-by-step explanation:

Answer:

about $5,203.02

Step-by-step explanation:

5000(1+(.04/4))^4

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 4% per year compounded 1 times per year over 3 years is $5,624.32.

Given Data

A = P + I where

P (principal) = $5,000.00

I (interest) = $624.32

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 5,000.00(1 + 0.04/1)^(1)(3)

A = 5,000.00(1 + 0.04)^(3)

A = $5,624.32

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Answer:

x = - 3[tex]\sqrt{2}[/tex], x = [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

x² + 2[tex]\sqrt{2}[/tex] x - 6

To calculate the zeros equate to zero

x² + 2[tex]\sqrt{2}[/tex] x - 6 = 0 ( add 6 to both sides )

x² + 2[tex]\sqrt{2}[/tex] x = 6

One way is to use the completing the square method

add ( half the coefficient of the x- term )² to both sides

x² + 2[tex]\sqrt{2}[/tex] x + ([tex]\sqrt{2}[/tex])² = 6 + ([tex]\sqrt{2}[/tex])²

x² + 2[tex]\sqrt{2}[/tex] x + 2 = 6 + 2

(x + [tex]\sqrt{2}[/tex] )² = 8

Take the square root of both sides

x + [tex]\sqrt{2}[/tex] = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]

subtract [tex]\sqrt{2}[/tex] from both sides

x = - [tex]\sqrt{2}[/tex] ± 2[tex]\sqrt{2}[/tex]

x = - [tex]\sqrt{2}[/tex] - 2[tex]\sqrt{2}[/tex] = - 3[tex]\sqrt{2}[/tex], or

x = - [tex]\sqrt{2}[/tex] + 2[tex]\sqrt{2}[/tex] = [tex]\sqrt{2}[/tex]

Answer:

-5/7 x 1/5 = -5/35 = -7

The answers is -1/7

Hope it helped!!

The answer would be 8 inches.

Answer:

W = 8 inches

Step-by-step explanation:

Volume of a rectangular prism is V= LWH,

we are given V = 528, L = 12, and H = 5 1/2.  Plug  them in and find W..

First convert 5 1/2 to an improper fraction

5 1/2 becomes 11/2

   528 = (12)(11/2)W

      528 = (132/2)W

        528 = 66W

            8 = W  (divide both sides by 66)

Answer:

Option c

[tex]y\geq-3[/tex] or [tex]y \leq 21[/tex]

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function [tex]f(x) = |x|[/tex]  x> 0 for all real numbers.

Then the inequation:

[tex]|y-9| \leq 12[/tex] has two cases

[tex](y-9)[/tex]    if [tex]y \geq 9[/tex]  (i)

[tex]-(y-9)[/tex]    if [tex]y < 9[/tex] (ii)

We solve the case (i)

[tex]y \leq 9 + 12\\y\leq21[/tex]

We solve the case (ii)

[tex]-y +9 \leq 12\\-y \leq 12-9\\y \geq -3[/tex]

Then the solution is:

[tex]y\geq-3[/tex] or [tex]y \leq 21[/tex]

Answer:

its c the answer above me is correct

Step-by-step explanation:

only the last one since the others don’t pass the vertical line test

which is when you draw a straight line down your function and if it hits 2 or more points it is not a function

The correct graph should have x values that have no more than one y value.

Depending on the kind of function that is graphed, various graph types exist.

Linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal graphs are the eight most often used types.

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Answer:

Yes, it does.

Step-by-step explanation:

Every regular shaped figure will have rotational symmetry, since they are built with identical segments all around.

To find the answer, ask yourself « If I rotate the shape, is there a time where I’ll find the exact same shape again with a different angle? »

So, a square has rotational symmetry, but not a rectangle.

A equilateral triangle has rotational symmetry, but not any other type of triangle.

the answer is since A = l × w

A= 30 × 40

A= 1200 square inches

Answer:

B

Step-by-step explanation:

did it on edge

Answer:

13.

Step-by-step explanation:

12.9 is closer to 13.

square root 167 is 12.923, this rounded to the nearest unit is 13

Answer:

7 units to the left

Step-by-step explanation:

Because if you move to the left you subtract 7 from the x-axis number or in this case 7, so 7-7=0.

Answer:

7 units to the left.

Step-by-step explanation:

Answer:

a=27

b=13.5

c=3.5

Step-by-step explanation:

This answer explains how to calculate the number of different sizes of bags that can be made from a specific amount of nuts, considering whole numbers of bags.

a. To determine how many 1-pound bags can be made from a 27-pound bag of nuts, divide 27 by 1, which gives you 27 bags.

b. For 2-pound bags, divide 27 by 2 to get 13.5 bags. Since you can't have half a bag, you can make only 13 bags.

c. To find the number of 3/4-pound bags from a 2.5-pound bag, divide 2.5 by 0.75, which equals 3.33 bags, but you can make only 3 bags because you can't have a fraction of a bag.

Answer:

10^5

Step-by-step explanation:

100,000

= 10 x 10 x 10 x 10 x 10

= 10^5

Answer: OPTION A

Step-by-step explanation:

To simplify the expression you must multiply the numerator and the denominator of the expression by √3.

As all the square roots have equal index, you can multiply the radicands, which are the numbers inside of the sqaures roots.

You also must keep on mind that:

[tex](\sqrt[n]{a})^n=a[/tex]

Therefore, you obtain:

[tex]\frac{6\sqrt{2}*\sqrt{3}}{\sqrt{3}*\sqrt{3}}=\frac{6\sqrt[]{6}}{3}=\frac{2\sqrt[]{6}}{3}[/tex]

Answer:

The correct answer is option B.  2√6

Step-by-step explanation:

It is given that an expression, 6√2/√3

To simplify the expression

6√2/√3

Multiplying numerator and denominator with √3

6√2/√3 = (6√2 x √3)/(√3 x √3)

  = [ 6 x √(2x3)]/3)                    (√2 x √3 = √(2 x 3)

  = 6√6/3  

  = 2√6

Therefore the simplified form of given expression 6√2/√3 is 2√6.

The correct answer is option B. 2√6

Let the two numbers be 3x and 4x

sum =3x + 4x = 7x

7x = 133

x= 19

the numbers are :

3(19) = 57

4(19) = 76

Answer:

57 and 76

Step-by-step explanation:

Given the ratios are 3 : 4 = 3x : 4x, then

3x + 4x = 133

7x = 133 ( divide both sides by 7 )

x = 19

The numbers are

3 × 19 = 57 and 4 × 19 = 76

Answer:

B

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]

Hence

[tex]\frac{3^{4} }{3^{2} }[/tex] = [tex]3^{(4-2)}[/tex] = 3² = 9 → B

The answer is 9

because 3 to the power of 4 is 81 and 3 to the power of 2 is 9 so it’s 81 divided by 9 which is 9

Answer:

196

Step-by-step explanation:

Divide 140 by 5 to find out how many miles she can drive with one gallon:

140/5 = 28

Multiply by 7:

28 x 7 = 196

hope this helps

Answer:

The standard form of the quadratic equation is [tex]f(x)=-2x^{2}+12x-16[/tex]

Step-by-step explanation:

we know that

The standard form of a quadratic equation is

[tex]f(x)=ax^{2}+bx+c[/tex]

we have

[tex]f(x)=-2(x-3)^{2}+2[/tex]

convert to standard form

[tex]f(x)=-2(x-3)^{2}+2\\f(x)=-2(x^{2} -6x+9)+2\\f(x)=-2x^{2}+12x-18+2\\f(x)=-2x^{2}+12x-16[/tex]

Answer:

1 and 8 are the ones you should choose.

Step-by-step explanation:

Answer: ∠1 and ∠8

Step-by-step explanation:

Given : Line b is parallel to line c .

In the given figure , a traversal line is passing through line b and c.

∠2=120°

Then , ∠1 +∠2=180°   [linear pair]

⇒ ∠1=180°-120°=60°

Now, ∠4 and ∠1 are vertical angles.

Since vertical angles are congruent.

∴ we have , ∠4 ≅ ∠1 =60°

Also, ∠4 and ∠8 are corresponding angles and corresponding angles are congruent.

∴ we have , ∠4 ≅ 8 =60°

∠2 cannot be congruent to ∠4, since both have different measures

∠7 cannot be congruent to ∠4, since ∠7 is congruent to ∠2 (Alternate exterior angles)

Answer:

2

Step-by-step explanation:

2 is actually a prime number because composite numbers have more than 2 factors but prime numbers don't.

Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

We can write them both like functions like this

[tex]A=5x-4[/tex]

[tex]B=3x+8[/tex]

Where

x=input

A=Output A

B=Output B

We want the output of A 3 times the output of B this can be written like this:

[tex]A=3B[/tex]

we replace with the functions

[tex]5x-4=3(3x+8)[/tex]

we solve for x

[tex]5x-4=9x+24\\5x-9x=24+4\\-4x=28\\x=\frac{28}{-4}\\x=-7[/tex]

The output that makes the out put of A 3 times teh output of B is [tex]-7[/tex]

To find the input that makes the output of A three times the output of B, solve the equation 3(B's output) = A's output by plugging in the values for each machine. The input that satisfies this equation is X = -7.

To find the input that makes the output of A three times the output of B, we need to solve the equation 3(B's output) = A's output. Let's plug in the given values into the machines to solve for X:

Now we can set up the equation and solve for X:

3(3X + 8) = 5X - 4

9X + 24 = 5X - 4

9X - 5X = -4 - 24

4X = -28

X = -7

Therefore, the input that makes the output of A three times the output of B is X = -7.

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Answer:

2x^2-4x-6

Step-by-step explanation:

I don't know what kind of math this is, but simply add up all of the like-terms.

There are 2 +x^2 --> 2x^2

There are 4 -x --> -4x

There are 6 - --> -6

The answer is A

There are two x squared tiles, there are four negative x tiles and there are six single negative tiles

Answer:

Step-by-step explanation:

60 - 55 = 5, car B catches up to Car A 5 miles per hour, they are 5 miles closer every hour

10 / 5 = 2, 2 hours

car b would have driven 60 * 2 = 120

Answer:

The area of the plate is 21 inches

Step-by-step explanation:

* Lets revise some rules of a circle

- The circumference of a circle = 2πr , where r is the radius of it

- The area of the circle = πr²

* Lets solve the problem

∵ A circular plate has circumference 16.3 inches

∵ The circumference = 2πr

∵ π = 3.14

- Lets find the radius of the plate

∵ 16.3 = 2(3.14)r

∴ 16.3 = 6.28r

- Divide both sides by 6.28

∴ r = 16.3/6.28 = 2.5955 ≅ 2.6

∴ The radius of the plate is 2.6 inches

* Lets find the area of the plate

∵ The area = πr²

∵ π = 3.14

∵ 4 = 2.6

∴ The area = 3.14(2.6)² = 21.22 ≅ 21

* The area of the plate is 21 inches

To find the area of a circle with a circumference of 16.3 inches using 3.14 for pi, you first calculate the radius and then use the formula A = πr² to get the area, which when rounded to the nearest whole number is approximately 21 inches².

To calculate the area of a circular plate when given its circumference, we first need to find the radius of the circle. We use the formula for the circumference of a circle, C = 2πr, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius. The student has provided the circumference as 16.3 inches, so we solve for r:

C = 2πr

16.3 inches = 2 × 3.14 × r

16.3 inches / (2 × 3.14) = r

16.3 inches / 6.28 = r

2.597 inches = r

Now that we have the radius, we can use the area formula for a circle, A = πr². Plugging in our radius we get:

A = 3.14 × (2.597 inches)²

A = 3.14 × 6.7473 inches²

A = 21.205 inches²

Rounding to the nearest whole number:

A ≈ 21 inches²

Here is your answer

D. 17, 18, 32

REASON:

Sum of any two sides of a triangle is always greater than the third side.

So,

17+18= 35

35>32

In other cases

a. 12+15= 27

27 <30

b. 14+16= 30

30 <34

c. 15+16= 31

31 <33

Hence other three can't be sides of a triangle.

HOPE IT IS USEFUL

The side lengths that could represent a triangle is 17, 18, 32

A triangle is a polygon with three sides and three angles. Type of triangles are isosceles, equilateral, scalene and obtuse.

For a triangle, the sum of any two sides must be greater than the third side. Hence:

For 12, 15 , 30; 12 + 15 < 30

For 14, 16 , 34; 14 + 16 < 34

For 15, 16 , 33; 15 + 16 < 33

For 17, 18 , 33; 17 + 18 > 33

The side lengths that could represent a triangle is 17, 18, 32

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Answer:

10) 40,80,160

11) 64, 256, 1024

12) 5, 2.5, 1.25

Step-by-step explanation:

Hope this helps. :)

Answer:

-135

Step-by-step explanation:

The summation notation of 10∑n=2 -2n-3.

We can find the values by substituting n into -2n-3.

Let's begin where n = 2

-2(2) - 3 = -7

-2(3) - 3 = -9

-2(4) - 3 = -11

-2(5) - 3 = -13

-2(6) - 3 = -15

-2(7) - 3 = -17

-2(8) - 3 = -19

-2(9) - 3 = -21

-2(10) - 3 = -23

This gives us:

-7 + -9 + -11 + -13 + -15 + -17 + -19 + -21 + -23 = -135

The question is likely related to evaluating a summation sequence using sigma notation, but the specifics are unclear due to possible typos. The correct approach would be to substitute values of n into the given expression and sum the results, but the question needs clarification.

The student's question appears to involve the concept of a summation, indicated by the sigma notation (Σ), which is a common topic in high school mathematics, particularly in algebra, pre-calculus, or AP statistics. However, the question, as written, is incomplete or contains typos that make it unclear. The phrase '10 sigma n=2 -2n-3' is not sufficient to provide a full context for an evaluation. It is likely that the student is asking to evaluate a summation formula that starts at n=2, but the upper limit of the summation (10) and the actual expression to be summed (-2n-3) are not clearly linked.

If the student intended to ask for the evaluation of the summation of the expression -2n-3 from n=2 to n=10, then we would calculate the sum as follows:

However, without clarification from the student, we cannot proceed with certainty. It is important to understand the exact parameters of the summation when dealing with sigma notation and summation formulas.

Answer:

-5

Step-by-step explanation:

We can just see what x has to be smaller than (or plug in the numbers, but that is more time-consuming).

-3x + 7 < 11 -> -3x < 4 -> x > -4/3

-5 is the only number that is less than or equal to -4/3.

-5 Is not a solution to the inequality