Which data set could be represented by the box plot shown below?

Answer:

  216°

Step-by-step explanation:

The ratio of the sum of smallest and largest to the total of all angles is ...

  (9 +15)/(9 +10 +12 +14 +15) = 24/60 = 0.4

__

The total of all angles in an n-gon is 180°(n -2), so the total of all angles in a pentagon is ...

  180°(5 -2) = 540°

Then the sum of smallest and largest angles is ...

  0.4(540°) = 216°

Answer:

X : -6, 3, 15, -12

Y : 11, 5, -3, 15

Step-by-step explanation:

Hey there!

To find the y values we need to plug the x values into th given equation,

y = -2/3x + 7

-6 ⇒ 11

15 ⇒ -3

Now we have a x value missing to that that we work backwards,

we plug in 15 for y in the given equation,

15 ⇒-12

Hope this helps :)

Step-by-step explanation:

[tex]y = - \frac{2}{3} x + 7[/tex]

Substituting the values of x into the expression we have

[tex]y = - \frac{2 }{3} ( - 6) + 7[/tex]

Make x the subject

[tex]5 = - \frac{2}{3} x + 7[/tex]

Multiply through by 3

15 = - 2x + 21

-2x = 15 - 21

- 2x = - 6

Divide both sides by - 2

[tex]y = - \frac{2}{3} (15) + 7[/tex]

y = - 10 + 7

[tex]15 = - \frac{2}{3} x + 7[/tex]

Multiply through by 3

45 = - 2x + 21

- 2x = 45 - 21

- 2x = 24

Divide both sides by - 2

Hope this helps you

Answer:

Step-by-step explanation:

Answer:

7282

Step-by-step explanation:

To answer this use PEMDAS

First, we need to multiply: 76 x 94 = 7144

Then we add: 7144 + 138 = 7282

Answer:

Step-by-step explanation:

Using PEMDAS rule:

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

Now, let's solve:

[tex] \mathsf{138 + 76 \times 94}[/tex]

Multiply the numbers

[tex] \mathsf{ = 138 + 7144}[/tex]

Add the numbers

[tex] \mathsf{7282}[/tex]

Hope I helped!

Best regards!

Answer:

[tex]x=\pm 7\text{ or } x=\pm i\sqrt{2}[/tex]

Step-by-step explanation:

We have the equation:

[tex]x^4-5x^2-14=0[/tex]

Since this is in quadratic form, we can consider using u-substitution. Thus, we will let:

[tex]u=x^2[/tex]

Then by substitution:

[tex]u^2-5x-14=0[/tex]

Now we can solve normally. Factor:

[tex](u-7)(u+2)=0[/tex]

Zero Product Property:

[tex]u=7\text{ or } u=-2[/tex]

Back-substitute:

[tex]x^2=7\text{ and } x^2=-2[/tex]

Take the square root of both sides. Since we are taking an even-root, we will need to add plus-minus:

[tex]x=\pm 7\text{ and }x=\sqrt{-2}[/tex]

Therefore, our solutions are:

[tex]x=\pm7\text{ and } x=\pm i\sqrt{2}[/tex]

Answer:

8 servings of rice

Step-by-step explanation:

Answer:

[tex] 2w^2(w + 2)(4w - 3) [/tex]

Step-by-step explanation:

[tex] 8w^4 + 10w^3 − 12w^2 = [/tex]

First, factor out the GCF of all terms, 2w^2:

[tex] = 2w^2(4w^2 + 5w - 6) [/tex]

Now we work on the trinomial.

Think of ax^2 + bx + c.

Multiply ac

ac = 4 * (-6) = -24

Now we need two numbers whose product is -24 and whose sum is 5.

They are -3 and 8.

We break up the middle term, 5w, into a sum using these two numbers.

5w = 8x - 3w

[tex] = 2w^2(4w^2 + 8w - 3w - 6) [/tex]

Now we factor by parts. We factor a common factor out of the first two terms, and we factor a common factor out of the last two terms.

[tex] = 2w^2[4w(w + 2) - 3(w + 2)] [/tex]

[tex] = 2w^2(w + 2)(4w - 3) [/tex]

Answer:

b. 2:15

Step-by-step explanation:

oregano : pepper

1/6                1 1/4

Changing to an improper fraction

1/6                 5/4

Multiplying by 12 to get rid of the fractions

12 * 1/6           12*5/4

2                       15

Answer: [tex]\hat{p}=0.28[/tex]

Step-by-step explanation:

Given : Tonya interviews an SRS of 50 of the 175 students living in the dormitory.

i.e. Sample size : n= 50

Number of students think the dorm food is good: x = 14

Now , the numerical value of the sample proportion p from Tonya's sample:

[tex]\hat{p}=\dfrac{x}{n}[/tex]

[tex]=\dfrac{14}{50}=0.28[/tex]

Hence, the numerical value of the sample proportion p from Tonya's sample is 0.28.

Answer:

C. Two lines are perpendicular if they have opposite slopes

Step-by-step explanation:

Hey there!

Well 2 lines that are perpendicylar have reciprocal slopes for example,

2 and 1/2 are 2 slopes that are perpendicular.

Hope this helps :)

Answer:

a rectangular prism

Step-by-step explanation:

consists of 6 faces which are rectangles

Answer:

[tex]$\boxed{\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})} $[/tex]

Step-by-step explanation:

[tex]\log _2z+2\log _2x+4\log _9y+12\log _9x-2\log _2y[/tex]

We have logarithms in base 2 and 9. Let's rewrite it:

[tex]\log _2z+2\log _2x-2\log _2y+4\log _9y+12\log _9x[/tex]

Remember that:

[tex]\boxed{p\log _bc=\log _b c^p}[/tex]

[tex]\log _2z+\log _2 x^2 -\log _2y^2 +\log _9y^4+\log _9x^{12}[/tex]

Remember the Product Rule:

[tex]\boxed{\log_b(xy)=\log_bx + \log_by}[/tex]

[tex]\log _2(zx^2) -\log _2y^2 +\log _9(y^4 x^{12})[/tex]

Finally, remember the Quotient Rule:

[tex]$\boxed{\log_b\left(\frac{x}{y} \right)=\log_bx - \log_by}$[/tex]

[tex]$\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})$[/tex]

Answer:

2 × 5

Step-by-step explanation:

We want to split the number 10 into its prime numbers.

A good way to start is divide the number by 2, if it's even. 10 is even, so we can divide by 2.

[tex]10\div2=5[/tex]

So the current factors are 2 and 5. We would keep going if one of these numbers was composite, but 2 and 5 or both prime numbers, so we can end the factorization here.

Therefore, the prime factorization of 10 is 2 × 5.

Hope this helped!

The prime factorization of 10 is 2 x 5.

Prime factorization is when you figure out the prime numbers that you can multiply together  to get a certain number.

To figure out the prime factors of 10, we begin by dividing it by the lowest prime number, which is 2. Because 10 can be divided evenly by 2, we can say that 10 is equal to 2 multiplied by 5.

The numbers 2 and 5 are special because they can only be divided by 1 and themselves. This makes them prime numbers. The prime factorization of 10 is the result of multiplying the prime factors 2 and 5 together.

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16.7%

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.

Answer:

The answer is 16.7%

Step-by-step explanation:

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice. hope this helped

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{9cm}{8cm}}[/tex]

We can disregard the units temporarily to create a ratio for 4.5 to 4:

4.5 is not a whole number- we can convert this number in the ratio to a whole number by multiplying both numbers by 2:

2 · (4.5 : 4) = 9 : 8

Express as a fraction:

[tex]9cm : 8cm = \frac{9cm}{8cm}[/tex]

Answer:

  m∠F = 66°

  m∠D = 57°

Step-by-step explanation:

It looks like you have ...

  ∠D = ∠E = (4x +1)°

  ∠F = (5x -4)°

The sum of the angles in the triangle is 180°, so we have ...

  2(4x +1) +(5x -4) = 180

  13x -2 = 180

  x = 182/13 = 14

Then the angle measures are ...

  ∠D = ∠E = (4(14) +1)° = 57°

  ∠F = (5(14) -4)° = 66°

__

m∠F = 66°

m∠D = 57°

Answer:

[tex]\boxed{\sf B}[/tex]

Step-by-step explanation:

-1 < y < 0

The value of y is negative.

Let’s take the number -0.5.

(-0.5)² = 0.25

1 - (-0.5) = 1.5

1 + (-0.5) = 0.5

2(-0.5) = -1

The greatest value is 1.5.

The answer is 1 - y.

Answer:

8x-20y

Step-by-step explanation:

Use the distributive property then add or subtract the terms(like terms)

3(2x-4y)-2(4y-x)

6x-12y-8y+2x

6x+2x-12y-8y

8x-20y

Hope this helps ;) ❤❤❤

Answer:

8x-20y

Step-by-step explanation:

3(2x-4y)-2(4y-x)

6x-12y-8y+2x

6x+2x-12y-8y

8x-12y-8y

8x-20y

Answer:

6

Step-by-step explanation:

We first want to rewrite it and make the square roots into power of 1/2 as its is easier in most cases to work with.

We will first solve for a^2 because it appears twice

3+2×2^1/2

3+2.828=5.828427

Now we will solve 1/a^2

1/5.828427=.171572

.171572+5.828427

now you add them and it equals 6.

Answer:

3

Step-by-step explanation:

Basically we need to find out whats the remainder of 1425 when you divide by 9.

1425/9 = 158 R3

R3 is 3 marbles left, so the answer is 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The amount left in the bank account is -$50.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount in the bank account = $150

Cost of the bike = $200

The amount left in the bank account.

= 150 - 200

= -$50

Thus,

The amount left in the bank account is -$50.

Learn more about expressions here:

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Answer:

The correct option is;

C. Quadratic

Step-by-step explanation:

The given information are;

The quantity of corn Farmer Joe has to sell = 1,000 bushels

The present market price for corn = $5.00 a bushel

The amount by which he expects the market price to rise per week =$0.15

The number of bushels lost to spoilage per week = 10

Therefore, we have;

The value of the corn = Amount of corn left × Price of corn

The price of the corn per bushel with time = 5 + 0.15×t

The amount of corn left = 1000 - 10×t

Where;

t = Time in minutes

Therefore, the total value of corn = (1000 - 10×t)×(5 + 0.15×t) = -1.5·t²+100·t+5000 which is a quadratic model.

Therefore, the correct option is a quadratic model.

Answer:

Option (A)

Step-by-step explanation:

To find the value of 'a' we will use the tangent-chord theorem,

"Angle formed by the chord and a tangent to the circle measure the half of the intercepted minor arc"

Angle 'a' is formed between the chord and the tangent.

Measure of the intercepted arc = (2 × 52)°

Therefore, measure of the angle 'a' = [tex]\frac{104}{2}[/tex]

a = 52°

Therefore, Option (A) will be the correct option.

Answer:

Given the equivocal nature of this question, I will need to draw an assumption: I will assume that Ali ate from the cake and so did Jason — not Ali ate from the cake and Jason ate from Ali’s slice.

With that being said, the first approach is make both of these fractions have a common denominator, so that we can find how much each respective person ate from the total amount of slices. Intuitively, the common denominator is 12

12

, so this must be true:

Ali ate 4/12

4

/

12

of the cake;

Jason ate 3/12

3

/

12

of the cake

Adding these two fractions will give us 7/12

7

/

12

— the total amount eaten. Now, to find the amount left, we need only subtract 7/12

7

/

12

from 12/12

12

/

12

(the total amount of the cake). Doing so will give us

Step-by-step explanation:

Answer:

21 members

Step-by-step explanation:

Jake's club

Total number of members = 35

percentage of members required to be present for any vote = 60%

= 60/100 × 35

= 0.6 × 35

= 21

Answer:

The correct ans is....

38%

0.4

0.52

5/8

Step-by-step explanation:

Order form least to greatest means " Ascending order "

38 % = 38/100

0.4 = 40/100

0.52 = 52/100

5/8 =  62.5/100

Hope this helps.....

Answer:38% ,0.4 ,0.52 ,5/8

Step-by-step explanation:

becuase when you turn them into decimals you will get

38%=0.38

0.4=0.4

0.52=0.52

5/8=0.625

Hopes this helps

Answer:

Look Below In the Explanation

Step-by-step explanation:

Point P has coordinates of (4,4) and point Q has coordinates of (4,-4).

Since both points have the same x-coordinates we can subtract point Q's y-coordinate from point P's y-coordinate.

I will set the equation up and try and figure this part by yourself. I hope you learned what to do from previous questions that are very similar to this that I answered.

4 - ( -4) = length of the bed of flowers

Hope that helps and maybe earns a brainliest!

Have a splendid day! :^)

The length of the bed of flowers will be 8 units.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

Clara wants to plant a bed of flowers between the points P and Q.

And, The value of P = (4, 4)

And, The value of Q = (4, - 4)

Now,

Since, Clara wants to plant a bed of flowers between the points P and Q.

And, The value of P = (4, 4)

And, The value of Q = (4, - 4)

Hence, The length of the bed of flowers will be;

PQ = √ (- 4 - 4)² + (4 - 4)²

PQ = √64

PQ = 8 units

Thus, The length of the bed of flowers will be 8 units.

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Answer:

x = -2, 2.

Step-by-step explanation:

x*2 + 5x + 6 = 5x + 10

x^2 + 5x - 5x + 6 - 10 = 0

x^2 - 4 = 0

x^2 = 4

x = -2, 2 ( 2 solutions).

Answer:

(C) 87

Step-by-step explanation:

We can use long division to solve this.

[tex]33\overline{\smash{)}#2871}[/tex]

33 goes into 287 8 times and 33 goes into 231 7 times.

So, 87.

Hope this helped!

Answer: C) 87

Step-by-step explanation:

2,871 ÷ 33 = 87

Answer: D) 48 inches by 64 inches

=============================================

Explanation:

The scale factor is 1/4 = 0.25, meaning that the original preimage is larger and it is reduced to get the image. The reduced width is 12, so the original width is 12/0.25 = 48 inches. The reduced length is 16 making the original to be 16/0.25 = 64.

--------

note that

48*0.25 = 12

64*0.25 = 16

showing how a 48 by 64 rectangle is reduced to a 12 by 16 rectangle after applying the scale factor to each dimension