This list shows the numbers of stuffed animals nine children own.

6, 12, 2, 5, 1, 6, 15, 10, 13

What is the range of the number of stuff animals the children own?


7

13

14

15

Answer:

To find the probability of selecting a Coke person from this group, we need to divide the number of people who prefer Coke by the total number of people in the group.

The number of people who prefer Coke is 29. The total number of people in the group is 29 + 21 + 37 + 28 + 19 + 16 + 150 + 150 + 2 = 452.

Therefore, the probability of selecting a Coke person from this group is:

P(Coke) = Number of people who prefer Coke / Total number of people in the group = 29 / 452 ≈ 0.064

So the probability of selecting a Coke person from this group is approximately 0.064.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

Answer:

(-2, -4.5) is the answer!

I hope this helps!

Answer:

It would be (-2, -4.5)

Step-by-step explanation:

Remember it as x before y, run before you fly. Since the point is to the left and below of the origin, the points would be in the negative as well.

The expression for the cost of two meals will be m₁ + m₂ = $18. The cost of the meal plus a 20% tip will be ( m₁ + m₂)1.2 = $10.80.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the cost of two meals is $18 and the cost of a meal plus a 20% tip is $10.80.

The expressions will be written as:-

m₁ + m₂ = $18.

( m₁ + m₂)1.2 = $10.80.

Therefore, the expression for the cost of two meals will be m₁ + m₂ = $18. The cost of the meal plus a 20% tip will be ( m₁ + m₂)1.2 = $10.80.

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EXPLANATION:

Required;

We are required to identify which of the options given would be considered categorical data.

Solution;

Categorical data is described as data that can be sorted or grouped into categories. It can also be described as qualitative. Good examples are eye color, gender, blood type, etc.

From the options provided, hair color is one data type that is made up of words and not numerical. This qualifies as categorical data.

ANSWER:

Option B; hair color

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

\( \\ \\ \)

\( \\ \\ \)

We know:-

When base and height of triangle is given we use this formula:

\( \bigstar \boxed{ \rm Area \: of \: triangle = \frac{base \times height}{2} }\)

\( \\ \\ \)

So:-

\( \\ \\ \)

\( \dashrightarrow \sf \: Area \: of \: triangle = \dfrac{base \times height}{2} \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: Area \: of \: triangle = \dfrac{7 \times 10}{2} \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: Area \: of \: triangle = \dfrac{7 \times 5 \times2 }{2} \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: Area \: of \: triangle = \dfrac{7 \times 5 \times\cancel2 }{\cancel2} \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: Area \: of \: triangle = \dfrac{7 \times 5 \times1 }{1} \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: Area \: of \: triangle =7 \times 5\)

\( \\ \\ \)

\( \dashrightarrow \bf \: Area \: of \: triangle =35 {yd}^{2} \\ \)

\( \\ \\ \)

\( \therefore \underline{\textsf{ \textbf {\: Area \: of \: triangle = \red{35}}} { \red{\bf{yd} }^{ \red2} }}\)

\( \\ \\ \)

\(\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}\)]

The measures of the three angles are 50 degrees, 40 degrees, and 90 degrees.

Using the angle sum property of triangles, we know that the sum of all three angles in a triangle is always 180 degrees. Therefore, we can write an equation using the given angles as:

m21 + m2 + m24 = 180

Substituting the given values of the angles in terms of x, we get:

(6x + 8) + (4x + 14) + (11x + 13) = 180

Simplifying the equation by combining like terms, we get:

21x + 35 = 180

Subtracting 35 from both sides, we get:

21x = 145

Dividing both sides by 21, we get:

x = 145/21

Therefore, we have found the value of x. Now we can use this value to find the measures of all three angles.

m21 = (6x + 8)° = (6 * 145/21 + 8)° = 50°

m2 = (4x + 14)° = (4 * 145/21 + 14)° = 40°

m24 = (11x + 13)° = (11 * 145/21 + 13)° = 90°

Therefore, the measures of the three angles are 50 degrees, 40 degrees, and 90 degrees.

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An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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Answer:

Step-by-step explanation:

There were 3097 6th-grade students who went on the field trip to see the play at the theater.

We have,

If 95% of the 3260 seats in the theater were filled by the 6th-grade students,

We can find the total number of students by multiplying the total number of seats by the fill percentage as a decimal:

Number of 6th graders = 3260 x 0.95

Number of 6th graders = 3097

Therefore,

There were 3097 6th-grade students who went on the field trip to see the play at the theater.

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840 different numbers can be created selecting 4 of the digits from the number

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

Number =  8712395

Digits = 4

The count of digits in the number is 7

Using the above as a guide, we have the following:

So, we have

Numbers = 7 * 6 * 5 * 4

Evaluate

Numbers = 840

Hence, 840 numbers can be formed

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Answer:

10 + 20 + 2

Easy, make it easy to do mentally than add the remaining

Answer:

12 + 20 = 4*3 + 4*5 = 4*(3 + 5)  

Step-by-step explanation:

Distributive property states

a*(b + c) = a*b + a*c  

Look if you know that 12 = 4*3 and 20 = 4*5

You can write it as

12 + 20 = 4*3 + 4*5 = 4*(3 + 5)  

That would be it in distributive property

Answer:

6%

Step-by-step explanation:

Solving our equation

r = 1200 / ( 2000 × 10 ) = 0.06

r = 0.06

converting r decimal to a percentage

R = 0.06 * 100 = 6%/year

The interest rate required to

accumulate simple interest of $ 1,200.00

from a principal of $ 2,000.00

over 10 years is 6% per year.

Answer:

9

Step-by-step explanation:

base = 3

height = 3

area = b x h

3x3=9

9units^2

Answer:

Solution given:

when

(-3,-2)

in equation;

7×-3-5×-2=28

-11≠28(not satisfied)

when

(-2,-3)

equation will be

7×-2+5×3=28

1≠28(not satisfied)

when

(0,4)

equation will be:

7×0-5×4=28

-20≠28

(not satisfied)

when

(4,0).equation will be

7×4-5×0=28

28=28(satisfied)

so

(4,0) is a required answer.

If a parallelogram is (x + 5) cm long and (x-8) cm wide. The perimeter is: 4x - 6 cm.

The length of all four sides of a square constitutes its perimeter whereas the circumference of a circle which is also known as the perimeter is the distance around it.

One pair of opposite sides lengths are determined by (x + 5) cm and the other pair's length is determined by (x - 8) cm.

Let x represent the  perimeter P of the parallelogram:

P = 2(x + 5) + 2(x - 8)

Simplify

P = 2x + 10 + 2x - 16

P = 4x - 6

Therefore  we can conclude  that the perimeter  of x is 4x - 6 cm.

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The complete question is:

A parallelogram is (x+5)cm long and (x-8)cm wide. Find the perimeter of the parallelogram.

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Answer:

122122

Step-by-step explanation:

Hey there! I"m happy to help!

The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.

We subtract 138 from both sides.

2x=42

We divide both sides by 2

x=21.

Have a wonderful day! :D

Answer:

IT IS THE FIRST ONE 100%

Step-by-step explanation:

Answer:

first say the one no.

Step-by-step explanation:

and subtract other no. to get the correct answer

a. Apples:  Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons: Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes: The amount of grapes that Lily has is not given

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

To make her fruit bowl, Lily needs 2½ times the amount of each fruit she currently has.

a. Apples:

2½ × 4 cups = 10 cups

Therefore, Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons:

2½ × 5-½ cups = (2 × 5 + 1/2) × 5/2 cups = 13-3/4 cups

Therefore, Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes:

The amount of grapes that Lily has is not given, so we cannot calculate how much she needs for her fruit bowl.

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Answer:

x^2=399+1

x^2=400

x=√400

x=+/-20

A. x=20 and x=-20

Answer:

x = 20 and x = -20

Step-by-step explanation:

I am a math expert. 20^2 and -20^2 are both 400 - 1 = 399.

Everything else is 397 or a wayyy higher number

Trust me the answer is x = 20 and x = -20

If im right, give me brainliest

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

the answer is B

Step-by-step explanation:

The plot of the given point must be at.

the third circle and at the 9th ray clockwise from the positive x-axis.

Here we want to plot the point (3, -135°).

Remember that a point whose polar coordiantes are (R, θ) must be ploted along the circumference of a circle of radius R, at the angle θ measured counterclockwise from the positive x-axis.

Then here we need to have a circle of radius of 3 units, and plot the point at -135° from the positive x-axis.

Now, each of the rays has 15° on it, then the point should be graphed on the third circle (radius of 3 units) and at the 9th ray clockwise from the positive x-axis (clockwise because the angle is negative, and 9th ray because 9*15 = 135)

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