the two-way table shows information about the subjects studied

The Two-way Table Shows Information About The Subjects Studied

Answers

Answer 1

Answer:

  a) 62

  b) 31/45

Step-by-step explanation:

a) The table tells you there are 42 males, and 20 more females that study biology.

  42 +20 = 62 . . . are male or study biology or both

__

b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...

  62/90 = 31/45 = P(male or biology)


Related Questions


Anthony wants to get a new TV. He has been working hard as a busboy at the local restaurant and wants
to treat himself to something nice. Today is his lucky day as he finds a 60" TV in stock that he has been
looking for. Unfortunately, it costs $700, and he does not have enough money saved up in order to buy it.
He recently received a credit card and is trying to decide what to do. Should he keep saving money buy it

Answers

The credit card provides the opportunity for Anthony to purchase the TV by paying at a rate of $50 a month.

The correct responses are;

1. The final price of the TV is $791.62. Anthony has to work for 70 hours to save enough money to buy the TV3. The number of extra hours of work bussing tables when using his credit card is approximately 9.16 hours.

Reasons:

The price of the TV, P = $700

The interest rate is r = 18%

The monthly payment, M = $50

Monthly payment formula is given as follows;

[tex]M = \mathbf{ \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}[/tex]

The time it will take to pay using the credit card is therefore;

[tex]\displaystyle 50 = \dfrac{700 \times \left(\dfrac{0.18}{12} \right) \cdot \left(1+\dfrac{0.18}{12} \right)^n }{\left(1+\dfrac{0.18}{12} \right)^n - 1} = \frac{10.5 \cdot 1.015^n}{1.015^n-1}[/tex]

Which gives;

50 × (1.015ⁿ - 1) = 10.5 × 1.015ⁿ

Solving for n gives;

[tex]\displaystyle n = \frac{ln\left(\frac{50}{39.5}\right) }{ln(1.015)} \approx \mathbf{15.832}[/tex]

It will take approximately 15.832 months for Anthony to pay for the TV at $50 per month.

1. The final price of the TV = $50 × 15.832 ≈ $791.6

2. The number of hours of work, t, is given as follows;

[tex]\displaystyle t = \frac{\$700}{\$10 \ per \ hour} = \mathbf{ 70 \ hours}[/tex]

Anthony has to work for 70 hours to save enough money to purchase the TV.

3. The extra hours of work is given by the hours of work needed to pay for the interest amount for the loan on the card

The interest amount on the card = $791.6 - $700 = $91.6

[tex]\displaystyle Extra \ hours \ to \ work = \mathbf{ \frac{\$ 91.6}{\$10 \ per \ hour}} = 9.16 \ hours[/tex]

Anthony has to work for extra 9.16 hours bussing tables using his credit card.

Learn more about payment on loan here:

https://brainly.com/question/13522402

Complete the table for this equation.

y=x−3

Enter your answers by filling in the boxes.

x y
5
6
7
8
9

Answers

Answer:

5 => 2

6 => 3

7 => 4

8 => 5

9 => 6

Answer:

2,3,4,5,6

Step-by-step explanation:

y = 5 - 3 = 2

y = 6 - 3 = 3

y = 7 - 3 = 4

y = 8 - 3 = 5

y = 9 - 3 = 6

Anu and Aji solve an equation. In solving Anu commits a mistake in constant term and finds the roots 8 and 2. Aji commits a mistake in the coefficient of x. The correct roots are (a) 9,1 (b)-9,1 (c) 9, -1 (d) -9.-1​

Answers

The correct roots of the equation are (a) 9 and 1

From the complete question, their mistakes are:

Anu

Roots: 8 and 2Wrong constant term

Aji

Roots: -9 and -1Wrong coefficient

A quadratic equation is represented as:

[tex]ax^2 + bx + c = 0[/tex]

Where:

[tex]\alpha\beta = \frac ca[/tex] --- product of roots

[tex]\alpha + \beta = -\frac ba[/tex] --- sum of roots

Anu made a mistake in the constant term, so we consider the sum of roots

[tex]Sum = 8 + 2[/tex]

[tex]Sum = 10[/tex]

Aji made a mistake in the coefficient, so we consider the product of roots

[tex]Product = -9 \times -1[/tex]

[tex]Product = 9[/tex]

The possible equations from the above sum and products are:

[tex]x^2 + 10x + 9 =0[/tex].[tex]x^2 - 10x + 9 =0[/tex].[tex]x^2 + 10x - 9 =0[/tex].[tex]x^2 - 10x - 9 =0[/tex]

Of all the above equations, the most likely equation is [tex]x^2 - 10x + 9 =0[/tex], and it has a root of 9 and 1

Hence, the correct roots are (a) 9 and 1

Read more about roots of equations at:

https://brainly.com/question/3923172

The oxygen atoms in the thermosphere absorb high-energy solar radiation and convert it into heat energy.
true
false

Answers

Step-by-step explanation:

Nitrogen and oxygen absorb solar radiation and release thermal energy, which causes temperatures in the thermosphere to be 1000 °C or higher. When most people think of an area that has high temperatures, they think of a place that is very hot. Although the thermosphere has very high temperatures, it does not feel hot. The answer is true

Math help please

Thanks
A lot

Answers

Answer:  

2 hours:  3968  [I don't understand the $ sign in the answer box]

At midnight:  12137

Step-by-step explanation:

The bacteria are increasing by 15% every hour.  So for every hour we will have what we started with, plus 15% more.  

The "15% more" can be represented mathematically with (1 + 0.15) or 1.15.  Let's call this the "growth factor" and assign it the variable b.  b is (1 +  percent increase).

Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450

At the end of the second hour we're increased by 15% again:

(3450)*(1.15) = 3968.

Each additional hour add another (1.15) factor,  If we assign a to be the starting population, this can be represented by:

P = a(1.15)^t for this sample that increase 15% per hour.  t is time, in hours.  

If a represents the growth factor, and P is the total population, the general expression is

P = ab^t

Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM.  That is a 10 hour period, so t = 10

P = (3000)*(1.15)^10

P = 12137

Which is the sum of two or more different monomials?

Answers

Answer: Polynomial

Step-by-step explanation:

Eva earns $5.50 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 47 hours?

Answers

Answer:

$277.75

5.50×40=220

5.50÷2=2.75

5.50+2.75=8.25×7=57.75

57.75+220=277.75

y=-1/2x+5/2 Find the slope

Answers

Answer:

Here is a pic hope this helps! <3

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

y=-1/2x+5/2

y=mx+b

m=slope

m=-1/2

Can someone please help me with this and I’ll give you a lot of points

Answers

Answer:

C

Step-by-step explanation:

It’s A

Slope intercept form is Y = Mx + b

So the additional hour is being added on

What is the equation of the line that passes through the point (-4, 2) and has a
slope of -5/4?

Answers

Answer:

[tex]y=-\frac{5}{4} x-3[/tex]

Step-by-step explanation:

Use the slope formula equation to plug in values. Slope formula equation is y=mx+b. The known values are y=2, m=-5/4, x=-4. [tex]2=(-\frac{5}{4} )(-4)+b[/tex]. Multiply -5/4 times -4 to get 5. 2=5+b. Subtract 5 from each side to isolate b. b=-3.


(a) The area of a rectangular garden is 5658 m?.
If the width of the garden is 69 m, what is its length?
(b) The perimeter of a rectangular window is 262 cm.
If the length of the window is 73 cm, what is its width?

Answers

A) Length is 82 m

B) Width is 58 cm

Hope this is helpful!

What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0)?

Enter your answers in the boxes.

y−
=
(x−2)

Answers

Answer:

y = -5x + 15

Step-by-step explanation:

We'll look for a linear function of the form y = mx + b, where m is the slope and b is the y-intercept.

We can determine a slope from the two given points by calculating a Rise/Run.  Starting at (2,5) and going to (3,0):

Rise = (0 - 5) = -5

Run = (3-2) = 1

Rise/Run = Slope, m) = -(5/1) or -5

Now we have y = -5x + b

To find b, enter either of the two points and solve for b.  I'll use (3,0), because I know my zero multiplication and addition tables by heart.

y = -5x + b

0 = -5(3) + b

b = 15

The equation becomes y = -5x + 15

See attachment.

Which function is represented by the graph?
The parent absolute value function is translated
3 units and Y 1 unit.
The function that is graphed is f(x) =

Answers

The parent absolute value function is translated  3 units left and 1 unit up.

The function that is graphed is [tex]f(x) = |x + 3| +1[/tex]

The parent absolute function is given as:

[tex]y =|x|[/tex]

When a function is translated 3 units left, the rule of transformation is:

[tex](x,y) \to (x + 3,y)[/tex]

So, we have:

[tex]y = |x + 3|[/tex]

When a function is translated 1 unit uo, the rule of transformation is:

[tex](x,y) \to (x,y+1)[/tex]

So, we have:

[tex]y = |x + 3| +1[/tex]

Express as a function

[tex]f(x) = |x + 3| +1[/tex]

Hence, the function that is graphed is [tex]f(x) = |x + 3| +1[/tex]

Read more about transformation at:

https://brainly.com/question/1548871

Answer:

left,up, lx+3l+1

Have fun

Kayla was asked to rewrite the polynomial expression x ^ 2 + 5x + 9 she rewrite the polynomial ? How could she rewrite with the polynomial?

Answers

Answer:

x²+6x+9

x²+3x+3x+9

x(x+3)+3(x+3)

=(x+3)(x+3)

Arrange in descending order: 101.121, 111.101, 101.112, 110.111

Answers

Answer:

111.101, 110.111, 101.121, 101.112

Step-by-step explanation:

Descending order means values starting with big ones and ending with the small ones.

So, in this case,

111.101, 110.111, 101.121, 101.112

Hope it helps :)

what is the answer in simplest form and is it real or imaginary?

Answers

Answer:

12.292 or 1.708

Step-by-step explanation:

1#60 -  (2 • (x + 7)2 +  4)  = 0

2#   -2x2 - 28x - 42  =   -2 • (x2 + 14x + 21)

3#x2 + 14x + 21 =  -2 • (x2 + 14x + 21)  = 0

[tex]\\ \sf\longmapsto -60=2(h+7)^2+4[/tex]

[tex]\\ \sf\longmapsto 2(h^2+14h+49)=-64[/tex]

[tex]\\ \sf\longmapsto h^2+14h+49=-66[/tex]

[tex]\\ \sf\longmapsto h^2+14h+115=0[/tex]

h has imaginary roots

Add the following: (i) 2a+b+c, a - b -c, 3a + b​

Answers

Add like terms the answer will be 6a+b+c

-7ab + 6b - 3ab - 4b - 3ab

Answers

the answer is -13ab+2b! hopefully this is right, sorry if it’s not

A square fence has an area of 81 cm sq. What is the length of each side?

Answers

Answer:

9 cm

Step-by-step explanation:

[tex]\sqrt{81} = 9[/tex]

The area of the square is 81, thus the equation is x² = 81. Then square root each side because the opposite of square. so the square root of 81 is 9, therefore the length of each side of the square is 9.

What is the opposite number of -5.23

Answers

opposite of -5.23 should be 5.23

Answer:

5.23

Step-by-step explanation:

The opposite of a number is the opposite signs,

the opposite of negative is positive and the opposite of positive is negative,

so the opposite of negative 5.23 is positive 5.23.

Based on the information in the table, how much will Henry earn if he worked 7 hours?
A
$48
+
B
$72
С
$9
D
$63

Answers

Answer:

D.

Step-by-step explanation:

In Substitution

3+2x-y=0
-3-7y=10X

Answers

Answer:

i think x = -1, y = 1

Step-by-step explanation:

3+2x-y=0

so 3+2x = y

-3-7y=10X

-3-7(3+2x) = 10x

-3-21-14x = 10x

-24-14x = 10x

-14x-10x = 24

-24x = 24

x = -1

3+2x = y

so 3+2(-1) = y

3+(-2) = y

1 = y

SO x = -1 and y = 1

The extended warranty on a $885 washer is 15% of the purchase price and lasts for five years. What is the effective cost per year of the extended warranty?
(use a dollar sign and 2 decimal places)

Answers

Answer:

8.85

Step-by-step explanation:

Toya has a car loan of $8500. Over the course of the loan, she paid a total of $5526 in interest at a rate of 13%. How many months was the car loan?

Answers

Answer:

42 months

Step-by-step explanation:

I need help on this, thank you in advance

Answers

Answer:

65

50

Step-by-step explanation:

yeah-ya........ right?

Evaluate the expression 4(2x + 6) when x = 4.5 *

122
60
42
12

Answers

60 is your answer.

Explanation:

4(2(4.5) + 6)

Use the distributive property and simplify.

Answer:

The solution to the expression with x = 4.5 is 60.

Step-by-step explanation:

Given:

x = 4.5

Work:

4(2x + 6)=> 8x + 24=> 8(4.5) + 24=> 36 + 24=> 60

Hence, the solution to the expression with x = 4.5 is 60.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

What’s the an and the a10

Answers

Answer:

an = -6 + n

a10 = -6+ 10 =4

Step-by-step explanation:

an should start at one behind the first number so it should be -6. Then we add  whatever the sequence is increasing by, which is 1 in this case, multiplied by n.

an = -6 + n

a10 = -6+ 10 =4

Write the equation of the line that is perpendicular to y=3x-6 and passes through the point
x, y
(2,0)

Perpendicular is the negative reciprocal so the slope is -1/3

Need to know b and the full equation

With work please. Thank you!

Answers

Answer:

y=-1/3x+2/3 (please mark brainliest)

Step-by-step explanation:

start with y=3x+6

you can get the slope of the perpendicular line by dividing the slope by -1,

so the slope of the new line is -1/3.

using the point and the slope of the new line, we can put it into point-slope form:

y-y₁=m(x-x₁)

y-0=-1/3(x-2)

simplify:

y=-1/3x+2/3

this is the final equation in the form y=mx+b

Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take

Answers

Answer:

Step-by-step explanation:

2005 AMC 8 Problems/Problem 20

Problem

Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 12\qquad\textbf{(D)}\ 14\qquad\textbf{(E)}\ 24$

Solution

Alice moves $5k$ steps and Bob moves $9k$ steps, where $k$ is the turn they are on. Alice and Bob coincide when the number of steps they move collectively, $14k$, is a multiple of $12$. Since this number must be a multiple of $12$, as stated in the previous sentence, $14$ has a factor $2$, $k$ must have a factor of $6$. The smallest number of turns that is a multiple of $6$ is $\boxed{\textbf{(A)}\ 6}$.

See Also

2005 AMC 8 (Problems • Answer Key • Resources)

Preceded by

Problem 19 Followed by

Problem 21

1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25

All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

DON'T SEND A LINK AND JUST ANSWER IT PLZ

Answers

Answer:

height = 10 , area = 240 units²

Step-by-step explanation:

The diagonal splits the rectangle into 2 right triangles.

Using Pythagoras' identity in the right triangle formed

with hypotenuse h = 26 and legs 24 and height x , then

x² = 26² - 24² = 676 - 576 = 100 ( take square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Height = 10 units

area of rectangle = 24 × 10 = 240 units²

Other Questions
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