Mathematics College

Please help!! Dexter made a frequency distribution, setting up groups for the data shown.
His first group was for 20-24. What was the frequency of his forth group?
42 33 28 27 51 29 31 42 38 49 35 30 22 27 26 41 47 33

Answers

Answer 1
42 43 I mean 3328 2151 2931 Covey to 3840 to 4935 40 22 27 2641 47th
Answer 2

The frequency of Dexter's fourth group (35-39) in his frequency distribution is 2. This was determined by counting the numbers within the 35-39 range from the provided data set.

Calculating the Frequency of the Fourth Group:

To calculate the frequency of the fourth group in Dexter's frequency distribution, let's first establish the groups.

First Group: 20-24Second Group: 25-29Third Group: 30-34Fourth Group: 35-39

Next, we'll count how many data points fall within each range:

3538

Thus, there are 2 data points in the fourth group (35-39).

Related Questions

The sum of a number and its square is 2. Find the​ number(s).

Answers

Let x represent the number.
.. x^2 +x = 2
.. x^2 +x +1/4 = 9/4 . . . . add 1/4 to complete the square
.. x +1/2 = ±3/2 . . . . . . . .square root
.. x = -2, 1

Numbers meeting that requirement are -2 and 1.
Final answer:

The number 'x' that satisfies the condition of the sum of a number and its square equaling 2 are 1 and -2. This is determined by setting up a quadratic equation and solving for 'x'.

Explanation:

To solve this problem, let's start by defining the unknown number we are looking for as 'x'. According to the problem, the sum of a number (x) and its square (x²) equals 2. As a mathematical equation, this would be written as x + x² = 2.

Once this equation is set up, we can solve for x. However, the equation is quadratic, which means it may have two solutions. Anyway, the equation can be rearranged into the standard quadratic format as x² + x - 2 = 0. It can be factored into (x - 1)(x + 2) = 0. This gives us two potential solutions for x: x = 1 and x = -2.

To verify if these solutions are valid, we can substitute them back into the original equation: 1 + 1² = 2 is true, and -2 + (-2)² = 2 is also true. Thus, both of these numbers, 1 and -2, are solutions to the original problem.

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a person travels 640 mi in 10 hours. What is the rate in miles per hour?

Answers

The rate is 64 mi/h.

The formula is distance over time or d/t.
Distance=640
Time=10

640/10=64.
HOPE THIS HELPED☺☺

PLZ HELP ASAP IF YOU KNOW THE ANSWER!!

Determine whether a triangle with the given side lengths is a right triangle angle: 15 cm, 17 cm and 19 cm

Yes or No_________

Show your work to prove your answer:

Answers

No because if you add all of those up then you get 51 and a right triangle is 90 degrees are
Do Pythagorean Theorem
Let’s say:
a= 15
b=17
c=19

the formula for Pythagorean theorem is a^2+b^2=c^2

15^2+17^2=19^2
225+289=361
514=361

Since we didn’t get a true statement the triangle is not a right triangle

kyle bought 28 feet of wire at the handware store. the wire cost was $2.79per foot, including sales tax. if kyle paid with a $100 bill, how much change should he have received?

Answers

He should receive around $21.88. This is excluding the fact he still needs to pay the sales tax. I would subtract a few more dollars.


Please vote my answer! Brainliest.

What are the coordinates of the image produced by applying the composition / to the point (–3, –6)?

A.
(–6, –3)
B.
(3, –6)
C.
(3, 6)
D.
(6, 3)


Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Deandres coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Deandre $5.95 per pound, and type B coffee costs $4.50 per pound. This month, Deandre made 136 pounds of the blend, for a total cost of $684.50. How many pounds of type B coffee did he use?

Answers

Let b represent the number of pounds of type B coffee used. Then the cost of the blend can be computed as
.. (136 -b)*5.95 +b*4.50 = 684.50
.. 809.20 -1.45b = 684.50 . . . . . . . eliminate parentheses
.. 124.70 = 1.45b . . . . . . . . . . . . . . . add 1.45b-684.50
.. 86 = b . . . . . . . . . . . . . . . . . . . . . . divide by 1.45

Deandre used 86 pounds of type B coffee in his blend.

Nadiya determines that there are no fractions equivalent to 2/10 with a denominator greater than 10, but less than 20, that have a whole number numerator and denominator. Is Nadiya correct?

Yes, Nadiya is correct. By multiplying the numerator and denominator by 2, the first fraction equivalent to 2/10 is 4/20.

Yes, Nadiya is correct. By multiplying the whole fraction by any whole number, each equivalent fraction will continue to have a denominator of 10.

No, Nadiya is incorrect. She could multiply both the numerator and denominator of the unit fraction equivalent to 2/10 by 3 and arrive at the equivalent fraction 3/15.

No, Nadiya is incorrect. She could add any number between 1 and 8 to the numerator and denominator and arrive at an equivalent fraction with a denominator greater than 10 but less than 20.

Answers

Final answer:

No, Nadiya is incorrect. There is a fraction equivalent to 2/10 with a denominator greater than 10 but less than 20, which is 3/15.

Explanation:

No, Nadiya is incorrect. She could multiply both the numerator and denominator of the unit fraction equivalent to 2/10 by 3 and arrive at the equivalent fraction 3/15.

When multiplying a fraction by a whole number, both the numerator and the denominator are multiplied by that number. By multiplying 2/10 by 3, we get (2 * 3)/(10 * 3) = 6/30, which can be simplified to 3/15.

Therefore, there is a fraction equivalent to 2/10 with a denominator greater than 10 but less than 20, and it is 3/15.

Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem. A cube-shaped container has an edge length of 23 feet. What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box. ft³

Answers

The volume is 8/27 ft³.

2/3(2/3)(2/3) = (2*2*2)/(3*3*3) = 8/27.
1. A cube is a solid formed by six equal faces, this is that it has equal width, height, and length measurements. You can solve this exercise by applying the formula given in the problem to calculate the volume of the container, which is:

 V=s³ 

 s=23 ft

 2. When you substitute the value of "s" into the fomula for calculate the volume (V=s³), you obtain: 

 V=(23 ft)³
 V=12167 ft³

 3. When you write it as a fraction, you have:

 V=(12167/1) ft³

 4. Then, the volume of the container is:

 V=(12167/1) ft³

Sketch the graph of the following function. List the coordinates of where extrema or points of inflection occur. State where the function is increasing or decreasing as well as where it is concave up or concave down. f left parenthesis x right parenthesisf(x)equals=3 x cubed minus 36 x minus 73x3−36x−7

Answers

To find extrema we need find where the first derivative is equal to zero.
[tex]f'(x)=(3x^3-36x-7)'=9x^2-36[/tex]
We now have to find zeros of this equation:
[tex]9x^2-36=0\\ x^2=\frac{36}{9}\\ x^2=4\\ x_1=2\\ x_2=-2[/tex]
These are x coordinates of our extrema, we calculate y coordinates simply by plugging in x coordinates in our functions:
[tex]f(2)=3(2)^3-36(2)-7=-55\\ f(-2)=3\left(-2\right)^3-36\left(-2\right)-7=41[/tex]
Function incrases when it's first derivative is positive. 
Our extrema points are (-2,41) and (2,-55).
This is because the first derivative gives you the slope of the function. 
We need to find where our first derivative is positive.
The first derivative is parabola that has positive coefficient a. Parabolas with positive coefficient a ("happy" parabolas or concave) are negative between zeros and positive everywhere else. So our function is increasing when x<-2 and x>2.
In order to determine where the function is concave up  or down, we have to find the second derivative.
[tex]f''(x)=(f'(x))'=(9x^2-36)'=18x[/tex]
When the second derivative is positive function is concave up, whet it is negative function is concave down.
Our function is concave up when x>0 and it is concave down when x<0.

Crystal's mud mask costs $23 for a 0.45 oz jar. She found the same mud mask online for $72. What is the size of the jar Crystal found online? (Round your answer to the nearest tenth)

Answers

3630 oz you do 23 divided by 0.45 times 72


Rob is a tractor salesman last week his total sales amounted to 38,642.00 and he received 2,704.94 in commission what is his rate of commission

Answers

2704.94/38642.00 * 100% = 7%

Rob's commission is 7% of his sales.

you invest $2,000 in a stock plan and another $2,000 in a savings account the stock plan decreases 7% the first year and gains 10% the second-year the savings account earns 3.7 APR and compounds annually what's the difference in earnings between the stock and savings account in the end of the second year

Answers

After calculating the stock and savings account total I found out that the difference in earning between them is $104.738.

The difference in earnings between the stock and savings account in the end of the second year is $104.74.

What is the difference between the stock and savings account?

The value of the stock plan at the end of the first year = (100 - 7) x 2000

0.93 x 2000 = $1860

The value of the stock plan at the end of the second year = (100 + 10) x 1860 = $2046

The future value of the savings account = 2000(1.037^2) = $2150.74

Difference = $2150.74 - $2046 = $104.74

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What expression represents "eight more than a number cubed and 2"?

Possible Answers:

Answers

the answer is 8 + 2m cubed. hope this helped. 

A ballroom in a hotel has the shape shown in the diagram. The hotel manager needs to determine how much carpet is needed to recarpet this area. All angles are right angles. The area of the ballroom is

Answers

we can separate the shape into a rectangle and a square
the area of the rectangle :
[tex]3 \times 12 = 36[/tex]
the area of the square:
[tex] {6}^{2} = 36[/tex]
the area of the whole shape:
[tex]36 + 36 = 72[/tex]
hope this helps

Answer:

126 square yards

Step-by-step explanation:

Maggs invests $10,250 at a rate of 9%, compounded weekly. To the nearest whole dollar, find the value of the investment after 7 years. $10,375 $11,208 $18,737 $19,230

Answers

T = Total

P = Principal 

R = Rate 

Y = Years

T = P* (1+ r/n)^(y*n)

n=52 

T = 10,250 * (1. 0.002)^(364)

T = 10,250 * 1.877

T = 19,235.03

Your answer is $19,253.03

Hope I helped!

Let me know if you need anything else!

~ Zoe (Rank:'Genius')


Answer:

the correct answer is 19,230

Step-by-step explanation:


Emily buys the cage and two bowls for $54 the cage cost $40 each for cost the same amount what is the price of one bowl

Answers

seven dollars!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
First we do 54 take away 40 which is 14 then we divide it by 2 and then we have our answer $7.

George has $23 to spend on Art supplies. He wants to buy markers,paper,and glue. If the total cost of the markets and paper is more than $14, write an inequality that represents the dollar amount,p, George can spend on glue.

Answers

23 ≥ p > 14 and p represents the amount of money to spend

in a gift store the ratio of cards to flowers was 8 to 7 if there were 56 cards how many flowers were there show how you got your answer please

Answers

Answer: 49 flowers

Form your proportion.
  8 cards         56 cards
--------------  =  ---------------  ⇒ 8/7 = 56/x
7 flowers        ? flowers

Solve for x by cross-multiplying.
8/7 = 56/x
8x = (7)(56)
8x = 392
x = 49

When constructing inscribed polygons and perpendicular lines, how are the steps similar? -
A. For right angles are created
B. A protractor and ruler are used to take accurate measurements.
C. Intersecting arcs are created and connected
D. There are no similarities
((((( SIDE NOTE ::: I LOOKED IT UP AND PEOPLE ARE SAYING ITS D, AND THEN THE OTHER HALF OF PEOPLE ARE SAYING D IS WRONG......HELP )))))

Answers

I would say the answer is A 

C is Correct answer.

Find the dimensions of the rectangular box with largest volume if the total surface area is given as 16 cm2. (let x, y, and z be the dimensions of the rectangular box.) (x, y, z) =

Answers

The largest volume cuboid for a given surface area is a cube. The total surface area of a cube is 6 times the square of the length of one edge, so your dimensions are

&nbsp; x = y = z = √(16/6) cm = (2/3)√6 cm, about 1.633 cm

Final answer:

Finding the exact dimensions of a rectangular box with the largest volume from a given surface area of 16 cm2 requires additional constraints. For illustrative purposes, in the case of a cube with equal sides, the side length can be found using the formula for surface area, showing how such a problem might be approached.

Explanation:

To find the dimensions of a rectangular box with the largest volume given a total surface area of 16 cm2, we can use the method of Lagrange multipliers or understand the principle that for a given surface area, the box which is closest to a cube will have the largest volume. However, without additional constraints, like a relation between the dimensions (x, y, z), solving for specific x, y, z values directly from just the surface area constraint alone leads to an infinite number of solutions. For simplicity, we'll consider a problem where symmetry is involved, as in the case of a cube, to illustrate how one might approach it.

Surface area of a rectangular box is given by 2(xy + xz + yz) = 16 cm2. To simplify and directly answer based on the data given would require additional constraints, such as assuming all sides are equal. For a cube, with all sides equal (let’s call each side 'a'), the surface area would be 6a^2. Solving 6a^2 = 16 gives a = sqrt(16/6) ≈ 1.633. This illustrates a scenario under specific conditions but doesn't directly solve the original question without additional constraints.

(x+6)(x-2)(x-1)=60 write a polynomial

Answers

For this case what you should do is:
 1) Multiplication of terms within parentheses correctly.
 2) Rewrite the expression respecting power properties.
 3) Add or subtract terms of equal power.
 Note: See attached image.
 Answer: 
 x ^ 3 + 3x ^ 2 -16x - 48 = 0

Consider the graph of the linear equation 2x-5y=10. What is the x-intercept? What is the y-intercept? What is the slope?

Answers

Hey there!

This linear equation is written in standard form, a form in which it's quite easy to find intercepts for one main reason. This reason revolves around zeros. When you see an x intercept, there's always a zero for the y, and when there's a y you see a zero for the x. Therefore, we can do this to get the intercepts.

For x:

2x-5(0) =10
2x = 10
x = (5,0)

For y:

2(0) -5y = 10
-5y=10
y= (0,-2)

Now, to find the slope, we can easily convert it to slope intercept form:

y = mx+b

Where m is the slope and b is he y intercept.

2x-5y=10
-5y=-2x+10
y = 2/5x-2
(notice how we divided both sides by -5)

Therefore, our slope is 2/5. Hope this helps!

what is 2/3 × 5 in simplest form

Answers

The answer is 3 1/3, and it is simplest form.

Brainliest please?
2 divided by 3 multiplied by 5/1 is best solved if kept in fraction form 

2*5=10   or in decimal form 3.3333 repeating 
3  1   3

Find two numbers, if Their sum is −7 and their difference is 14

Answers

Let
a------------> first number
b------------> second number

we know that
a+b=-7--------> a=-7-b----------> equation 1
a-b=14--------> equation 2

I substitute 1  in 2

(-7-b)-b=14-------------> -7-b-b=14----------> -7-2b=14-------> 2b=-7-14
2b=-21---------> b=-10.5
a=-7-b-------> a=-7-(-10.5)-----> a=-7+10.5------> a=3.5

the answer is
the two numbers are 
a=3.5
and
b=-10.5

Answer:

3.5 and -10.5

Step-by-step explanation:

i checked, its correct

Find two numbers, if their sum is (−1/3) and their difference is 18. PLEASE HELP

Answers

x+y=-1/3
x-y=18
solve the system of equation:
equation 1 + equation 2: 2x=17&2/3=16&5/3
x=8&5/6
y=-1/3 -8&5/6=-8&7/6=-9&1/6

x=[tex]x=8\frac{5}{6} , y=-9 \frac{1}{6} [/tex]

The two numbers are 53/6 and -55/6.

What is Addition?

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Let x and y be the two numbers.

We have sum of them is -1/3

x + y = -1/3  [Equation 1]

The difference of two numbers is 18.

x - y = 18   [Equation 2]

Adding equations 1 and 2,

x + y + x - y = -1/3 + 18

2x = 18 - [tex]\frac{1}{3}[/tex]

2x = 53/3

x = 53/6

Substituting the value in equation 1,

53/6 + y = -1/3

y = -1/3 - 53/6

  = -55/6

Hence the numbers are 53/6 and -55/6.

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In the morning,a farm worker packed 3 pints of strawberries every 4 minutes.In the after afternoon,she packed 2 pints of strawberries every 3 minutes.What was the difference between her morning and afternoon packing rates in pints per hour?

Answers

(3 pt)/(4/60 h) -(2 pt)/(3/60 h) = (180/4 pt/h) -(120/3 pt/h)
  = 45 pt/h -40 pt/h
  = 5 pt/h

n operator in the plant has a monthly salary of $3,200. Thirty-three percent (33%) of her salary is deducted for income tax. How much money is deducted from her salary for income tax each month? $736.00 $960.00 $1,056.00 $2,144.00

Answers

to find out we need to do

(3,200*33)/100=105,600/100=1,056
 is the third choice

Please help!:

Charlie built a toy using a rectangular prism and cubes as shown below.

What is the surface area of the toy Charlie built?
A.650 sq cm
B.350 sq cm
C.550 sq cm
D.400 sq cm

Answers

The answer to this is A. 650. You find the surface area of the two cubes, then the rectangular prism, then you add them together.

Find the volume of the figure. A) 33 in3 B) 150 in3 C) 233 in3 D) 425 in3

Answers

top part: 12 * 3 * 3 = 108

bottom part: 5 * 5 *5 = 125

 total: 108 +125 = 233 in^3

Answer is C

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity is called volume. The volume of the given figure is 233 in³.

What is Volume?

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity is called volume.

The given figure can be divided into two parts. The first figure 'A' is a cuboid, while the second figure 'B' is a cube. As shown below.

Now, the volume of the figure can be calculated by adding the volume of the cuboid A and the volume of the cube B.

The volume of Cuboid A can be written as,

[tex]\rm \text{Volume of cuboid} = Length \times Breadth \times Height[/tex]

                            [tex]= 12 \times 3 \times 3\\\\= 108\rm\ in^3[/tex]

The volume of Cube B can be written as,

[tex]\rm \text{Volume of Cube} = (Side)^3[/tex]

                        [tex]= 5^3\\\\= 125\rm\ in^3[/tex]

Further, the volume of the figure can be written as,

The volume of the figure = Volume of the cuboid + Volume of the Cube

                                          = 108 + 125 = 233 in³

Hence, the volume of the given figure is 233 in³.

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determine whether each set of side lengths could be the sides of a right triangle Drag and drop each set of side lengths to the correct box right triangle not a right triangle 8 in 15 in 17 in. 4 in 15 in 17 in

Answers

"8 in., 15 in., 17 in." is a right triangle and "4 in., 15 in., 17 in." is not a right triangle. Hope this helps!

Answer:

8 in 15 in 17 in.--- form a right angled triangle.

4 in 15 in 17 in.---- do not form a right angled triangle.

Step-by-step explanation:

We know that according to the PYTHAGOREAN THEOREM of right triangles we have:

                             [tex]c^2=a^2+b^2[/tex]

where c is the hypotenuse or the largest side of a triangle and a and b are other two legs of a right triangle,.

1)

8 in 15 in 17 in.

[tex]17^2=15^2+8^2\\\\289=225+64\\\\289=289[/tex]

Hence, the given measure of sides form a side of a right angled triangle.

2)

4 in 15 in 17 in.

Since,

[tex]17^2\neq 15^2+4^2[/tex]

Hence, the given measure of sides do not form a side of a right angled triangle.

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