The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Based on visual inspection of the dot plots, which of the following groups appears to have the longer average forearm length?

A. Group A, because no child in the group has a forearm length longer than 11 inches

B. Group B, because two children have a forearm length longer than 11 inches

C. Group A, because three children in the group have the least forearm length of 9 inches

D. Group B, because a child in the group has the least forearm length of 9 inches

Answer:

a) 25

b) 55

c) 63

Step-by-step explanation:

Complementary angles add up to 90.

90-65=25

Supplementary angles add up to 180.

180-125=55

Vertical angles are equal.

a.90-65=25

b. 180-125=55

c. 180-63=117

Answer:

A = 8cm

B = 11cm

C = 4cm

D = 4cm

(b)

11x4=32

11x4=32

8x11=88

8x11=88

88+88+32+32=240  (i think)

(c)

240

8x4=32

8x4=32

240+32+32=302

Step-by-step explanation:

Answer:

they paid 220

Step-by-step explanation:

Answer:

c 2/9

Step-by-step explanation

Answer:

[ 22 ]

Step-by-step explanation:

First you gotta add the cubes inside of it to find the volume then the ones outside you have to take them out and slant them then you have to fill the whole thing up and there you go [or you can just add all the numbers together for a easier explanation. ] Sorry if its wrong! ~Bread

Answer:

68 in³

Step-by-step explanation:

To find the volume of the figure, we first need to find the volumes of the 2 triangular prisms and 1 rectangular prism.

Triangular prism

[tex]{\boxed{\text{Volume}= \text{base area ×height}}}[/tex]

The base area here is the area of the triangular face, since it is the face that repeats itself throughout the entire length/height to form the volume of prism.

Base area

= area of triangle

= ½(base)(height)

= ½(2)(3)

= 3 in.

Height= 2 in.

Volume

= 3(2)

= 6 in³

Volume of rectangular prism

Volume

= base area ×height

= length ×breadth ×width

= 14(2)(2)

= 56 in³

Total volume

Volume of figure

= 2(6) +56

= 12 +56

= 68 in³

Answer:

B) x²+2x-35=0; the factors are (x+7)(x-5)

Step-by-step explanation:

The quadratic equation which has the solutions as x = -7 and 5 may be x² + 2x - 35 = 0, the factors are (x + 7) and (x - 5) and (x + 7)(x - 5) = x² + 2x - 35.

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given that,

a quadratic equation has the solutions x = -7 and 5.

There are two options, x² + 2x - 35 and x² - 2x - 35

Using the factorization method, a quadratic equation ax² + b x + c = 0 can be factored as (x + p)(x + q) where pq = c/a and p + q = b/a.

Consider, x² + 2x - 35 = 0

There are numbers 7 and -5 that 7 - 5 = 2 and 7 × -5 = -35

So it can factored as,

(x + 7) (x - 5) = 0

Solutions are x = -7 and x = 5

Hence the quadratic equation is x² + 2x - 35 = 0.

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Answer:

1) The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds

2) 50.24 is a rational number

Step-by-step explanation:

1) To calculate the length of the walkway, you need to find "b"

the value of b using the Pythagoras theorem can be written as,

D²=12²+b²

15²=12²+b²

225=144+b²

b²=81

b=9

the value of each of the four hypotenuses can be written as,

A = [tex]\sqrt{12^2+8^2}[/tex] = [tex]\sqrt{208}[/tex] = 14.422

B = [tex]\sqrt{6^{2} +8^{2} }[/tex] = [tex]\sqrt{100}[/tex] = 10

C = [tex]\sqrt{6^2+9^2}[/tex] = [tex]\sqrt{117}[/tex] = 10.82

D = 15

Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,

14.422 + 10 + 10.82 + 15 = 50.24

So, the entire walkway to the nearest hundredth is 50.24

2) Because Irrational numbers are ones that never end.

50.24 is a nice, round number, even though its a decimal.

Answer:

50.24 - rational number

Step-by-step explanation:

Answer:

(2,6). (4,12). (5,15). (7,21)

Step-by-step explanation:

As the x axis has time, all the points on the time column are across.

As the y axis has distance, all the points on the column are up.

Co-ord 1:

(2,6)

Co-ord 2:

(4,12)

Co-ord 3:

(5,15)

Co-ord 4:

(7,21)

Answer: [tex]5x-6[/tex] and  [tex]3x+2x-2-4[/tex]

Step-by-step explanation:

[tex]3x+2(x-1)-4[/tex]

[tex]Simplify[/tex], [tex]Evaluate[/tex], [tex]andFactor[/tex] [tex]the[/tex] [tex]expression[/tex].

[tex]add[/tex] [tex]the[/tex] [tex]similar-terms[/tex] [tex](3x[/tex] [tex]can[/tex] [tex]be[/tex] [tex]added[/tex] [tex]with[/tex] [tex]2x[/tex] [tex]and[/tex] [tex]-2[/tex] [tex]can[/tex] [tex]be[/tex] [tex]added[/tex] [tex]with[/tex] [tex]-4):[/tex]  [tex]5x-6[/tex] is correct!

[tex]Destroy[/tex] [tex]the[/tex] [tex]parenthesis[/tex] [tex]applying[/tex] [tex]applying[/tex] [tex]property[/tex] [tex]which[/tex] [tex]would[/tex] [tex]make[/tex]:[tex]3x+2x-2-4[/tex] [tex]the[/tex] [tex]correct[/tex] [tex]option[/tex].

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Answer:

First and the second

Step-by-step explanation:

3x + 2(x − 1) − 4

It is being simplified so both of the equations are equivelent to 3x +2(x-1)-4

We suppose that Joey forms an encasing ring around the round cake, basically going through the entire circumference of the round cake.

As circumference is

Answer: the answer should be 9.22

Step-by-step explanation:

the formula is a^2 +b^=c ^

So 49 plus 36 equals 85

And the square root of 85 is 9.22

Answer:

5. Area = 28.5 cm; 6. Area = 544,500 cm

Step-by-step explanation:

Area = Length×Width

5. You have to convert the mm to cm by dividing the mm by 10. Then just multiply the length and width.

6. Same thing; different unit, convert the m to cm (or vice versa, not sure which unit you need to answer in) and multiply the length and width.

Answer:

5. Area = 28.5 cm; 6. Area = 544,500 cm

Step-by-step explanation:

Step-by-step explanation:

there is a right angled triangle.

25+4 = 29 = slant ht^2

h = 5.38 units

A simple answer is that any given trapezoid with height h and length of the parallel lines a and b, is half of a parallelogram with an area of (a+b) x h. Since the trapezoid is half of this, it is h(a+b)/2

The amount of space an object occupies is known as volume.

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The amount of space an object occupies is known as volume.

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The mean of the scores is approximately 6.2. The correct answer is (C).

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

To calculate the mean of the scores based on the given frequency table, we need to multiply each score by its corresponding frequency, sum up the results, and then divide by the total frequency.

Let's perform the calculations:

(1 x 1) + (2 x 1) + (3 x 3) + (4 x 1) + (5 x 4) + (6 x 5) + (7 x 6) + (8 x 5) + (9 x 3) + (10 x 1) = 167

1 + 2 + 9 + 4 + 20 + 30 + 42 + 40 + 27 + 10 = 185

The total frequency is 1 + 1 + 3 + 1 + 4 + 5 + 6 + 5 + 3 + 1 = 30

Now, we divide the sum (185) by the total frequency (30) to find the mean:

185 / 30 = 6.1667

Rounding this value to the nearest tenth, the mean of the scores is approximately 6.2.

Therefore, the answer is C) 6.2.

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Answer:

You would divide.

Step-by-step explanation:

$851÷ $23= 37

Answer:

she would need 2 bags because it is 18 but covers 10 square feet

Step-by-step explanation:

Width = 1 yard = 3 feet

Length = 6 feet

Square feet(area) of the floor = 6ft × 3ft = 18sqft

1 bag = 10sqft

x bag = 18 sqft

x bags = (18 × 1)/10

= 1.8 bags

2 bags

Answer:

B. 2nd Play and B. 2nd Play

Step-by-step explanation:

#1) Going negative means going backwards.

-8<10.5

#2) Absolute value means making all numbers INSIDE the two lines positive.

I-8I = 8

I10.5I = 10.5

A B E

.

..

.

.

.

.

...

.

.

..

.

.

.

.

..

Answer:

Use the FOIL Method

Step-by-step explanation:

A: 5.9a + 2.2b

B: 5.9a + 5.6b

C: 5.9a - 5.6b

D: 5.6b - 5.9a

E: 5.9a - 5.6b (This is it’s simplest form)

So as you can C and E are equalivalent, so these are your answers.

Mark me brainliest if this was correct :)

Answer:

1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67

The average age  is  22 yrs

The sum  of the ages  is  440 yrs

When  two  of the turtles leave, the average is  21 yrs....and there are 18 turtles left

So....the sum of the ages is  21 * 18  = 378

And the difference  in the sums  is  62

The only two values that sum to 62  are  26 and 36

So.....the box turtle must have been 36 and the map turtle must have been 26

Step-by-step explanation:

The age of the escaped box turtle is 36 years in the reptile house of the Kalamazoo Zoo.

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:

1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67

To find the age of the escaped box turtle, we can first find the average age of all the turtles before the escape. To do this, we can add up all the ages and divide by the number of turtles:

(1+1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67)/20 = 26

The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape, so the average age of the turtles remaining at the zoo is 26 - 1 = 25 years.

To find the age of the escaped box turtle, we need to subtract its age from the average age of the remaining turtles.

Let's represent the age of the box turtle X. We can set up the equation:

(1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67 - X)/19 = 25

We can solve this equation by multiplying both sides by 19 and then subtracting 67 from both sides:

1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 - X = 475

Then we can add X to both sides to get:

1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 -X + X = 475 + X

This simplifies to:

X = 36

Therefore, the age of the escaped box turtle is 36 years.

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Answer:

15

Step-by-step explanation:

900 light bulbs per hour

60 minutes per hour

X lightbulbs per minute

Divide 900 lightbulbs by 60 minutes

15

The rate is 15 light bulbs per minute

Answer:

Step-by-step explanation:

The correct answer is :Line J R. Point P is above the line and point N is below the line. Arcs centered at J and R go through points P and N.

Answer:

The Stores profit is 70% or $59.5

How?

The reason is because if it's selling it for 100% of the price, then that means that the store bought it for 85 dollars, and it's selling it for 85 dollars, and that's 0% profit. But because the store has bought it for 100%, and then it's charging another 70% of the price, so the store's profit is 70%.

Now, we find 70% of 85 dollars, which will be the STORE'S PROFIT AMOUNT!

1. Convert percentages into fractions or decimals

For fraction: divide 70 by 100 and remove the % sign.

[tex]{70}\%=\frac{70}{100}[/tex]

For decimal: move the decimal point 2 places to the left and remove the % sign.

[tex]{70}\%=0.7[/tex]

2. Multiply the decimal or fraction by the quantity that equals 100%

[tex]100[/tex]%[tex]=85[/tex]

[tex]\frac{70}{100} *85=0.7*85=59.5[/tex]

Extra info:

170% of 85 = 144.5

70% of 85 = 59.5

Answer:

Below

Step-by-step explanation:

Just made it up on the spot :)

Jared invited his friends over for lunch. He bought a pizza and ate 3/4 of it himself before calling his friends. He called Bob, Matombe, Steve, Owen, and Bill. Now, Jared must divide the 1/4 of the pizza into 5 parts for his friends to eat.

Answer:

Step-by-step explanation:

If 1/4 is divided by 5 we can think about it as 1/4 is a quarter of a whole and we need to divide that quarter in 5 equal parts.

Story Problem:

Alexa has 5 more days to finish reading the ELA book assigned by her teacher. She still has to read 1/4 of the book. What fraction of the book she should read on each of the 5 days to ensure she will be done in time?

(1/4 ) / 5 = (1/4) *(1/5) = 1 / 20

If Alexa reads 1/20 of the book each day she will finish the book in 5 days.

Answers for #5

- s/10

- 8*b

- h+7

- 3*r-8

Question 6

62 miles/hour x 4 hours = 248 miles traveled

Answer:

Factorial

Step-by-step explanation:

Factorial: Denoted by the exclamation mark (!). Factorial means to multiply by decreasing positive integers. For example, 5! = 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 120.

Hope this helped you<33

ok finally the answer was

(!). 4! simply means that we are taking the product of 4×3×2×1. See some examples below: 1! = 1 2! = 2×1 = 2

Answer:

No

Step-by-step explanation:

The data is discrete and so there would be nothing to compare in terms of distribution as there are no similarities between the different categories.