A professor had students keep track of their social interactions
for a week. The number of social interactions over the week is
shown in the grouped frequency distribution. Identify the lower
limit of the fifth class.
The lower limit of the fifth class is
(Type a whole number.)

Answer:

80

Step-by-step explanation:

120 divided by 3 (for per half hr) is 40 and if you add 2 of the half hrs together (40+40) its 80

Answer: 6%

Step-by-step explanation:

R=100×480/2000×4

R=6%

Answer:

R

=

6

%

Step-by-step explanation:

The formula for Simple Interest is

S

I

=

P

R

T

100

Change the subject to be R.

R

=

100

×

S

I

P

T

Once that is done, we just need to substitute the values.

R

=

100

×

480

2000

×

4

R

=

6

%

Answer:

The Answer of the 0.307+13.16+0.8 is 14.267

Answer:4

Step-by-step explanation:

16/4=4

The scale factor of the dilation is, 1/4.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The trapezoid I'J'K'L' is a dilation of the trapezoid IJKL.

Here, The length of IJ = 16

And, The length of I'J' = 4

Hence, The scale factor of the dilation is,

⇒ I'J' / IJ = 4 / 16

               = 1/4

Thus, The scale factor of the dilation is, 1/4.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Answer:

700 months

Step-by-step explanation:

11/24 many minutes did it take for the winner of the race to finish.

A fraction represents a part of a whole.

Given,

Kyla finished a 100 meter race in one and three-eighths minutes.

Kylas time is [tex]1\frac{3}{8}[/tex] minutes.

Convert mixed fraction to improper fraction.

11/8 minutes.

The winner of the raced finished in one-third of Kyla's time.

Which means 1/3 of 11/8

1/3×11/8

11/24

Hence, 11/24 many minutes did it take for the winner of the race to finish.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ1

In 5 days at work, kay climbs 585 steps

If there are 13 steps in 1 flight of stairs then 9 flights of stairs will be

= 13 * 9

= 117 steps

Every day Kay climbs 117 steps in 9 flights in 5 days kay will climb

= 117 * 5

= 585 steps

Kay climbs 585 steps in a 5 days at work

Learn more about word problem at:

https://brainly.com/question/13818690

#SPJ1

Answer:

Your answer is A) [tex]y=-\frac{3}{2}x-4[/tex]

Step-by-step explanation:

This is because the slope of a perpendicular line is a negative reciprocal in relation to the original line. In this example, [tex]\frac{2}{3}[/tex] is flipped to [tex]-\frac{3}{2}[/tex]

Answer:

4

Step-by-step explanation:

Richmond has 7 and Dollarville has 3. 7 - 3 = 4

Answer:

Step-by-step explanation:

Start with y intercept (Where the line crosses the y-axis)

You place the first dot on (0,2)

Negative slope goes down

For the second dot, you go down one and move two to the right

Answer:

.62 each

Step-by-step explanation:

The polynomial f(x) of degree 5 that has the following zeros is

f(x) = (x+2) (x-3) (x-7)(x-0) (x-4).

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an expression made up of variables, constants, and exponents. In many branches of mathematics and science, polynomials are used. For instance, they are used to define polynomial functions, which show up in settings ranging from basic chemistry and physics to economics and social science. They are also used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to form these functions.

The function's zeros are expressed as follows:

f(x) = (x-a)(x-b)..... where the a, b  are the zeros

f(x) = (x-(-2)) (x-3) (x -7)(x-0) ( x-4)

f(x) = (x+2) (x-3) (x-7)(x-0) (x-4)

Therefore, the polynomial f(x) of degree 5 that has the following zeros is

f(x) = (x+2) (x-3) (x-7)(x-0) (x-4)

To know more about polynomial, visit:

https://brainly.com/question/11536910

#SPJ1

With a 95 percent confidence interval, the proportion of people who favor the tax plan is 0.546 ,0.755

The value of n is the random sample n = 80

we have x as the number of people surveyed, = 52 respondents

Then p = x / n

p = 52 / 80

p = 0.65

From the z critical table, 95% confidence level = 1.96

we would have to use the confidence interval formula. This is given as:

[tex]p +- Z * \sqrt{\frac{p*(1-p)}{n} }[/tex]

we have to put in the values

[tex]0.65 +- 1.96 * \sqrt{\frac{0.65*(1-0.65)}{80} }[/tex]

0.65 ± 1.96 * 0.053326822

0.65 - 0.10452 , 0.65 + 0.10452

0.546 ,0.755

Therefore the proportion of persons that are in favor of this tax has been calculated as 0.546 ,0.755

Read more on confidence interval here:https://brainly.com/question/17097944

#SPJ1

The value of the unknown variable x in the given sequence is; 14

The formula for sum of an arithmetic sequence is;

Sₙ =ⁿ/₂(2a + (n − 1)d)

where;

a is first term

d is common difference

n is position of term

We are given the sequence as;

(x + 1) + (x + 4) + (x + 7) +...+ (x + 40) = 442

The common difference is;

x + 4 - (x + 1)

= 3

Now, to get the number of terms, we will say that the function follows the pattern;

aₙ = (x + 1) + 3n

Thus;

(x + 1) + 3n = x + 40

3n = 39

n = 13

Thus, there are n = 13 terms

Sₙ = ¹³/₂(2(x + 1) + (14 − 1)3) = 442

6.5(2x + 40) = 442

2x + 40 = 442/6.5

2x = 68 - 40

x = 28/2

x = 14

Read more about Sum of Arithmetic Sequence at; https://brainly.com/question/24295771

#SPJ1

Answer: 50

Step-by-step explanation:

10+15+6+4+6+11= 50

Edit=

We can see that the length of one side is 10, and the width of one is 15. For the other side of the width, we can subtract 4 from 15 to get 11. For the other length, we can subtract 6 from 10 to get four. We also have to add in the 6 and 4 because they are parts of the border. (10+15+11+4+6+4)

The maximum number of hours that he can hire the cleaning service would be 5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Consider that the number of hours for which the total cost would be the same be x

The first inequality is;

$15x > $75

Now equate equations

$15x - $75 = 0

15x = 75

x = 5

Hence, the maximum number of hours that he can hire the cleaning service would be 5.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

Montraie can make 2 cups of smoothies with the yogurt

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

Cups of yogurt = 1 1/2

Each smoothie = 3/4 yogurt

Assume there exist a proportional relationship between the cups and the yogurt

The number of smoothies in the yogurt can be calculated using the following equation

Smoothies = (1 1/2)/(3/4)

Evaluate the quotient

Smoothies = 2

Hence, the cups is 2 yogurt

Read more about unit rates at

brainly.com/question/19493296

#SPJ1

Answer:162

Step-by-step explanation:

1.5 ft = 18 inches

so

9 * 18 = 162

Answer:

Step-by-step explanation:

the answer is a 28.27

Answer:

a) 28.27

Step-by-step explanation:

Formula we use,

→ πr²

Now the required area will be,

→ 3.14 × 3²

→ 3.14 × 9

→ 28.27 in²

Hence, the area is 28.27 in².

In 6 years, the couple will have $32,916.38 in the account.

The system of equation is consistent and independent because it has one unique solution.

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent.

Therefore, let's solve the equation,

y = -3x + 12

y = -6x + 2

Using substitution,

-6x + 2 = -3x + 12

-6x + 3x  = 12 - 2

-3x = 10

x = - 10 / 3

y = -6(-10 / 3) + 2

y = 60 / 3 + 2

y = 20 + 2

y = 2

Therefore, the system of equation is consistent and independent.

learn more on system of equation here: https://brainly.com/question/26523945

#SPJ1

The value of y when the value of x is -3 for the equation,y = 500×2ˣ will be y=62.5.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the given equation of is, y = 500×2ˣ

We have to find the value of y when x = - 3.

y = 500×2ˣ

y=500×2⁻³

y=62.5

Thus, the value of y when the value of x is -3 for the equation,y = 500×2ˣ will be y=62.5.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ1

Using the formula of volume of a sphere, Ashely's company made 195 balls

The volume of sphere is the measure of space that can be occupied by a sphere. If we draw a circle on a sheet of paper, take a circular disc, paste a string along its diameter and rotate it along the string. This gives us the shape of a sphere.

The formula of volume of a sphere is given as

v = 4/3πr³

r = radius = 4.5in

volume of each spherical ball = 4/3π(4.5)³

volume of sphere = 381.7in³

The number of balls she made from 74325 in³ can be found by dividing it by 381.7in³

Number of balls = 194.7≅195 balls

Learn more on volume of a sphere here;

https://brainly.com/question/10171109

#SPJ1

Answer:

x = .5, - 1.5

Step-by-step explanation:

4x^2 + 4x =3

To solve for x, we can complete the square.

4 ( x^2 + x) = 3

x^2 + x = 3/4

Take the coefficient of x, divide by 2, and square.

(1/2)^2

Then add to each side.

x^2 + x + 1/4= 3/4 +1/4

(x+1/2) ^2 = 1

Take the square root of each side.

x+1/2 = ±1

x = ±1 -1/2

x = 1-1/2  or -1-1/2

x = 1/2, -3/2

x = .5, - 1.5

Answer:

x = 1/2   or   -3/2

Step-by-step explanation:

Rewrite in Standard Form:

4x²+4x=3 ==>  4x²+4x-3=0

Identify:  a=4   b=4   c= -3

Quadratic Formula:

[tex]x=\frac{-b+\sqrt{b^2-4ac}}{2a} or \frac{-b-\sqrt{b^2-4ac}}{2a}\\ \\=\frac{-4+\sqrt{4^2-4(4)(-3)}}{2(4)} or \frac{-4-\sqrt{4^2-4(4)(-3)}}{2(4)}\\\\=\frac{-4+\sqrt{16+48}}{8} or \frac{-4-\sqrt{16+48}}{8}\\\\=\frac{-4+\sqrt{64}}{8} or \frac{-4-\sqrt{64}}{8}\\\\=\frac{-4+8}{8} or \frac{-4-8}{8}\\\\=\frac{4}{8} or \frac{-12}{8}\\\\=\frac{1}{2} or -\frac{3}{2}[/tex]

The time  did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles is 1.5 hrs, 1 hrs, 3 hrs. The distance is 13.5 miles, 2.5 miles , 48 miles.

Let t represent the  time he ran

Let t -.5 represent  time he swam

Let 2t represent the  biking time

Hence,

9t + 2.5(t-.5) + 16(2t) = 64

9t + 2.5t - 1.25 + 32t = 64

Collect like terms

43.5t = 64 + 1.25

Divide both side by 43.5t

t = 65.25/43.5

t = 1.5 hrs (Time he ran)

So,

Time he swam

t -.5 where t is 1.5 hrs

1.5-.5 = 1 hr (Time he swam)

Biking time

2t where t is 1.5 hrs

2(1.5) = 3 hrs (biking time)

Distance of each

1.5(9) = 13.5 miles  (running)

1(2.5) = 2.5 miles   (swimming)

3(16) = 48 miles  (biking)

Total distance = 13.5 miles + 2.5 miles + 48 miles

Total distance = 64 miles

Therefore the time  is 1.5 hrs, 1 hrs, 3 hrs and the distance is 13.5 miles, 2.5 miles , 48 miles.

Learn more about distance and time here:https://brainly.com/question/26046491

#SPJ1

Answer:3/2

Step-by-step explanation: so you have the number of cups of Chex Mix in the bag is 3x = 3*9 = 27 cups and the number of cups of chocolate chips is 2x = 2*9 = 18 cups. Indeed, we see that 27 + 18 = 45 and 27/18 = 3/2 as required.

Answer:

Step-by-step explanation:

Door:80( actual height) 44( height on set)

Table 28( actual height) 15.4 ( height on set)

Stool 18 ( actual height) 9.9 ( height on set)

Step-by-step explanation:

Times the actual height inches by 0.55 and you get your height on set.