The two-way table shows information about the subjects studied by
some people.
a)
b)
Male
Female
Total
Chemistry Biology Physics
12
14
16
16
28
20
34
12
28
Total
42
48
90
How many people are male OR study Biology OR both?
What is the probability that any person is male OR
studies Biology OR both?
Answers
Part (a)
We can add the total number of males and the total number of students who take biology, and then subtract the intersection.
[tex]42+34-14=62[/tex]
Part (b)
There are 90 people in all, so the probability is [tex]\frac{62}{90}=\frac{31}{45}[/tex]
Related Questions
Question 6 (Yes/No Worth 1 points) (02.01 LC) Is the following relation a function? x y 1 −2 1 −3 2 1 3 −2 Yes No
Answers
This is not a function, we know this because the input x = 1 is mapped into two different outputs.
Is the following relation a function?A relation maps elements from one set, the domain, into elements from another set, the range. A relation is only a function if each element of the domain is mapped into only one element of the range.
In this case, we have the relation:
x: 1, -2, 1, -3
y: 2, 1, 3, -2
The input x = 1 is mapped into two different values, y =2 and y = 3.
Thus, the relation is not a function.
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ANSWER PLEASE IM GONNA DIE
Answers
What is the difference?
− 3 − 6
Answers
Answer:
-9
Step-by-step explanation:
If you find the -6 point on the number line and move to the left three spaces, you stop at -9. You are taking away three spaces from an already negative number. So, you move to the left to show you subtracting something.
Hope this helps! :)
Answer:
-9
Step-by-step explanation:
Using absolute value (6+3) you can add -6 to -3.
The parallelogram had an area of 20 square inches
Answers
Answer:
b = 4.472 and h = 4.472
Step-by-step explanation:
Area of a parallelogram is A = bh
Find b and h where the area is 20 square inches
So, to find the equal value of both b and h take square root of 20
➟ √20
➟ 4.472
So, b = 4.472 and h = 4.472
Checking
A = 4.472 × 4.472
A = 19.9 ≈ 20
Math easy will give brainly and points
A large container is being filled with water at the rate of 2 3/4 per minute
Answers
Answer:
5 minutes and 20 seconds
Step-by-step explanation:
basically your equation is: (rate of filling container) x (time to fill container)
- (minus)
(rate of leaking from container) x (time to fill container)
=
(the size of the container in gallons)
--------------------
step 1 - so t = the time in minutes to fill14 gallon container
step 2 - convert 2 3/4 to quarters so:
2 • 4 = 8 and it’s in quarters so 8/4 then
8/4 + remaining 3/4 = 11/4
step 3 - so then you fill in the equation:(11/4)•t - (1/8)•t = 14
step 4 - multiply both sides of the equation by 8:
(11/4) = 2.75 • 8 = 22
(1/8) = 0.125 • 8 = 114 • 8 = 112
so the equation is:
22t - t = 112
step 5 - divide both sides of the equation by 22:
22t / 22 = t
112 / 22 = 5.333
so t = 5.333
step 6 - convert
so 5.333 has a repeating decimal of 0.3 which is 1/3. so to convert that to seconds, take 1/3 of 60:
60 / 3 = 20
so it takes 5 minutes and 20 seconds to fill the 14 gallon container
hope this helps :)
SHOW YOUR WORK FOR BRAINLIEST
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
The answer is 16.4
Answers
Answer:
x = 16.4
Step-by-step explanation:
From the diagram, we can see that the radius of the circle is 19.4 as the line labelled 19.4 goes from the centre to the edge of the circle.
Therefore the length of the line marked in green is also 19.4 units, as it is also a radius of the circle.
Now we can simply use the Pythagorean Theorem to calculate the value of [tex]x[/tex]:
[tex]19.4^2 = x^2 + 10.3^2[/tex]
⇒ [tex]x^2 = 19.4^2 - 10.3^2[/tex]
⇒ [tex]x = \sqrt{19.4^2 - 10.3^2}[/tex]
⇒ [tex]x = \bf 16.4[/tex]
Therefore the length of the indicated segment is 16.4 units.
A group of friends wants to go to the amusement park. They have no more than $170 to spend on parking and admission. Parking is $7.25, and tickets cost $23.25 per person, including tax. Write and solve an inequality which can be used to determine
x, the number of people who can go to the amusement park.
Answers
Answer:
7 People is they all go in the same car and pay only for 1 parking space.
Step-by-step explanation:
23.25x + 7.25 ≤ 170 Subtract 7.25 from both sides of the equation
23.25x ≤ 170 Divide both sides by 23.25
x ≤ 7
Martin earned $8.75 an hour plus another $18 in tips. Lawrence earned $9.25 an hour and spent $2 on a soda. Lawrence had more money than Martin. Let x represent the number of hours worked.
Answers
If Martin earned $8.75 an hour plus another $18 in tip and Lawrence earned $9.25 an hour and spent $2 on a soda, then the inequality represents the situation is 8.75x+18 < 9.25x-2
The payment of Martin per hour = $8.75
The addition tip he got = $18
The payment of Lawrence per hour = $9.25
The amount he spend for soda = $2
x represents the number of hours worked
Lawrence had more money than Martin
Then the inequality will be
8.75x+18 < 9.25x-2
Hence, if Martin earned $8.75 an hour plus another $18 in tip and Lawrence earned $9.25 an hour and spent $2 on a soda, then the inequality represents the situation is 8.75x+18 < 9.25x-2
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State the degree and end behavior of f(x)=8x³+2x⁴-5x²+9. Explain or show your reasoning.
Answers
Examining the given polynomial we arrive at the various parameters
the polynomial is degree 4The end behavior is x → ∞ f(x) → ∞, x → - ∞ f(x) → ∞How to find the degree of a polynomialThe degree refers to the maximum power to which the equation is raised. We can see that the term 2x⁴ bears the maximum power and it is 4 hence the equation is degree 4
How to find the end behavior of a polynomialThe end behavior refers to how the equation relates at the extremes. The extremes a big positive value and big negative value.
Big positive value say x = 1000
f(x)=8x³+2x⁴-5x²+9
f(1000) = 2.008x10^12
Big negative value say x = -1000
f(x)=8x³+2x⁴-5x²+9
f(-1000) = 1.992x10^12
comparing the two values shows that the value is increasing in both positive and negative, hence we write the end behavior as x → ∞ f(x) → ∞, x → - ∞ f(x) → ∞
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Please help me. I will give brainly to anyone who helps.
Answers
a
so the first one is 817(the amount at the beginning) +19x
817+19x
the second pool is 38x, cause there's no water at the start.
38x
b
it would be 817+19x=38x
Any buyer of a new sports car has to pick between 2 of 5 options for seat colors and 3 of 4 options for dashboard accessories. how many different combinations of colors and dashboard options are available to this buyer?
Answers
There are 40 different combinations of colors and dashboard options available to this buyer.
Combination is a counting technique where the order of the selected items from a collection does not matter. The formula in finding the number of combinations when ‘r’ items are chosen out of a total of ‘n’ objects.
nCr = n! / [r! (n - r)!]
If there are 2 of 5 options for seat colors, then using the formula, the number of combinations for the seat color is:
5C2 = 5! / [2! (5 - 2)!]
5C2 = 120 / 12
5C2 = 10
If there are 3 of 4 options for dashboard accessories, then using the formula, the number of combinations for the dashboard accessories is:
4C3 = 4! / [3! (4 - 3)!]
4C3 = 24 / 6
4C3 = 4
Multiplying the two results will give the total number of different combinations of colors and dashboard options available.
combination = 10 x 4
combination = 40
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Graph the line with slope of 5/3 and goes through the point (2,1). please help
Answers
Answer:
y = 5/3x -7/3
Step-by-step explanation:
y = mx + c
sub in values:
1 = 5/3(2) + c
1=10/3 + c
-7/3 = c
equation of line:
y = 5/3x -7/3
help please i don't understand this
Answers
Sounds at 85 dBA can cause hearing loss if listened to for more than 8 hours. Sounds above 85 dBA can damage your hearing more quickly. For every 3-dB increase in noise levels above 85 dBA, the safe listening time is cut in half. You can, for example, listen to sounds at 85 dBA for up to 8 hours.
What is meant by decibel?The decibel (dB) is 10 times the decimal logarithm of the ratio of two variables' values. Decibels are calculated using a logarithm, which allows very large or very small relationships to be represented with a conveniently small number. The decibel, abbreviated dB, is the scale's unit. Sound intensity as a reference ( = 10 ^{ -12 } Watts per square meter.) The decibel (dB) is a logarithmic unit of measurement for sound level. It is also widely used in electronics, communications, and signals. The dB is a logarithmic measure of a ratio. Power, sound pressure, voltage, or intensity are all examples of ratios.A noise or sound level of 85 decibels is equivalent to that of a food blender, heavy traffic while driving, a noisy restaurant, or a movie theater. As you can see, we are exposed to high noise levels in a variety of situations in our daily lives.To learn more about decibel, refer to:
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a gigabyte of computer storage space is 2^30 bytes.A computer has a total storage space of 128 gigabytes.How many bytes of total storage space does the computer have?Write your answer as a power.
Answers
There are 2 ³⁷ bytes in 128 gigabytes.
Bytes, which typically contain eight bits, are the basic building blocks of digital information.
Because previously a single character of∀⊅ text required only a certain number of bits to be encoded in a computer, the byte is the lowest addressable unit of memory in all computer systems. To distinguish them from the standard 8-bit definition, network protocol documents like The Internet Protocol (RFC 791) refer to an 8-bit byte as an octet. An octet's bits are commonly counted from 0 to 7 or 7 to 0, depending on the bit endianness. The eighth bit is a seven since the first bit is a zero.We know that 128 = 2⁷
Now each gigabyte = 2³⁰ bytes
So the total number of bytes in 128 gb is
2⁷ × 2³⁰ = 2³⁰⁺⁷ = 2 ³⁷
Therefore there are 2³⁷ bytes in 128 gigabytes.
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Consider this function f(x) = x -4
Answers
The inverse of the given function is f-1(x)= x²+4.
What is inverse of a function?A function that "undoes" another function in mathematics is known as an inverse. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f-1.
To calculate the inverse of a function:
Consider f(x)=y
And interchange the variables.
So given f(x)= √x-4 becomes
y=√x-4 ⇒ x=√y-4
Now on squaring both sides we get,
x²= y-4
⇒ y = x²+4
Replace y by f-1(x)
So the equation becomes,
f-1(x) = x²+4
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Select all diagrams that have expressions in corresponding angles.
Answers
Answer:
1, 2, 8
Step-by-step explanation:
Corresponding angles lie on the same side of the parallel lines and on the same side of the transversal.
1, 2, and 8 are corresponding angles.
Jesse and amir were assigned the same book to read. jesse started reading on saturday, and he is reading 30 pages a day. amir didn't start until sunday, but he is reading 35 pages a day.
Answers
He will read 210 pages of the book and it will take Amir 6 days to catch up with Jesse
Day Jesse started reading: Saturday
Number of pages read by Jesse each day: 30 pages
Day Amir started reading: Sunday
Number of pages read by Amir each day: 35 pages
Let x represent the number of days Amir has been reading and y represent the number of pages he has read
Formulating the equation for Amir we get:
y = 35*x
y = 35x
The equation for Jesse will be:
y = 30*(x+1)
y = 30(x+1)
Equating both equations we get:
35x = 30(x+1)
35x = 30x +30
5x = 30
x=6
So, the number of pages read will be 210 and it will take 6 days for Amir to catch up with Jesse
Although a part of your question is missing, you might refer to this full question: Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day. How many days will it take Amir to catch up to Jesse, and how many pages will they each have read? Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read
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For each event, write the sample space and tell how many outcomes there are. Roll a standard number cube. Then flip a quarter. How many outcomes are there?
Answers
The total number of outcomes is 12.
An outcome is a potential outcome of an experiment or trial in probability theory.
Each conceivable result of a specific experiment is distinct, and many results are incompatible (only one outcome will occur on each trial of the experiment). The components of a sample space are all the potential results of an experiment. There is a chance that outcomes will occur with probabilities between 0 and 1. (inclusively). In a discrete probability distribution whose sample space is finite, each result is assigned a certain probability. A continuous distribution, on the other hand, only allows non-zero probabilities to be assigned to ranges of events, with all individual outcomes having zero probability.When a number cube is rolled there are 6 distinct outcomes {1,2,3,4,5,6} = 6
Again when a quarter is flipped then there are two possible outcomes {heads , tails } = 2
The total number of outcomes = 6 × 2 = 12
Hence there are 12 distinct outcomes.
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Find the area of the circle. Use 3.14 for T. d = 4 m A = [?] m² A = πr² Enter
Answers
Step-by-step explanation: I hope this helps.
Answer:
Solve the inequality. Graph the solution. 3x≤−54
Answers
[tex]x\leq -18[/tex]
Graph Displayed Below
Hope this helps!
The solution to the given inequality [tex]3x \leq -54[/tex] is [tex]x \leq \frac{-54}{3}[/tex] .
Inequality is a fine statement that compares two values, showing if one is lower than, lesser than, or simply not equal to another value. Inequalities are frequently used to represent connections between amounts, similar to the relationship between the height and weight of a person, or the relationship between the speed and time of an object in stir.
We first divide the inequality [tex]3x \leq -54[/tex] by 3 on both sides to obtain:
[tex]x \leq \frac{-54}{3}[/tex] .
Then, we plot the line [tex]x = \frac{-54}{3}[/tex] on the graph. The region left to the line thus obtained is the solution of the given question.
Thus, the line [tex]x \leq \frac{-54}{3}[/tex] is plotted in the graph.
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The cost of a mobile set is Rs 18000. If Mrs Sharma purchased it with 13% VAT,how much did she pay for it.
Answers
To purchase a mobile set with the cost of Rs 18000 and VAT 13% , Mrs Sharma needs to pay Rs 20,340.
As given in the question,
Cost of the mobile set Mrs Sharma purchase = Rs 18000
VAT added on purchasing a mobile set is equal to 13%
Amount of VAT on mobile set is equal to
= 13% of 18000
= (13/100) × 18000
= 13 ×180
= Rs 2340
Mrs Sharma needs to pay amount to purchase a mobile set
=18000 + 2340
= Rs 20,340
Therefore, to purchase a mobile set with the cost of Rs 18000 and VAT 13% , Mrs Sharma needs to pay Rs 20,340.
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Is -√225 rational or irrational?
Answers
Answer:
Rational
Step-by-step explanation:
- √225 = -15
EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.
-2, 8, 18, 28
Answers
Answer:
The sequence is arithmetic.
-2 , 8 , 18 , 28 , 38 , 48 , 58 , 68 , 78 , . . .
21st term value is 198.
Step-by-step explanation:
A bag of sweets weighs 120g and costs
£0.89. It contains 14 gummy bears, 6 jelly
beans and 4 chocolate buttons.
What is the ratio of bears:beans:buttons in
it's simplest form?
Answers
The ratio of bears:beans: buttons in the simplest form is 7:3:2
Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.
Weight of sweet bag = 120g
Cost of a sweet bag = 0.89 euros
Number of gummy bears = 14
Number of jelly beans = 6
Number of chocolate buttons = 4
The ratio of bears:beans:buttons = 14:6:4
Dividing the ratio by 2 throughout we get:
Ratio of bears:beans:buttons = 7:3:2
So, In its simplest form, the ratio of bears to beans to buttons is 7:3:2.
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Given m n, find the value of x.
m
(5X-11)°
(6x-7)°
Answers
Answer:
x = 18
Step-by-step explanation:
the angles pictured are supplementary angles.
supplementary angles are angles whose sum equals 180°
ex: <1 + <2 = 180°
[tex]5x - 11 + 6x - 7 = 180[/tex]
[tex]11x - 18 = 180[/tex]
[tex]11x = 198\\x = 18[/tex]
Answer:
[tex]\boxed{\sf{x=18}}[/tex]
Step-by-step explanation:
To find the value of x, you have to use the supplementary angles which is equal to 180°.
Supplementary angles = 180°
5x-11+6x-7=180
Combine like terms.
[tex]\sf{5x+6x-11-7=180}[/tex]
5x+6x=11x
[tex]\sf{11x-11-7=180}[/tex]
Subtract the numbers from left to right.
-11-7=-18
[tex]\sf{11x-18=180}[/tex]
You have to add by 18 from both sides.
11x-18+18=180+18
Solve.
Add the numbers from left to right.
180+18=198
11x=198
Divide by 11 from both sides.
11x/11=198/11
Solve.
198/11=18
[tex]\rightarrow \boxed{\sf{x=18}}[/tex]
Therefore, the final answer is x=18.
PLEASE HELP, I will give brainliest! due soon thank you so much and please give explanation
question 1,2 and 3 thank you
Answers
Answer:
8.368, 156.8, 2.52$
Step-by-step explanation:
0.8% of 1,046 is 8.368
to get this first find 80% of 8.368 so you can get 836.8 and then you move it back 2 places to get 8.368
160% of 98 will be 156.8
first split it up into 2 problems for it to be easier
100% of 98
and 60% of 98
100% of 98 = 98
60% of 98 = 9.8*6 = 58.8
98+58.8 = 156.8
For the 3rd one it will be 2.52$ srry gtg soon so can't explain
At Silver Gym, membership is $20 per month, and personal training sessions are $45 each. At Fit Factor, membership is $90 per month, and personal training sessions are $35 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy _____ personal training sessions to make the total cost at the two gyms equal.
Answers
Answer: 7
Step-by-step explanation:
Let the number of sessions be x. Then,
[tex]20+45x=90+35x\\\\10x=70\\\\x=7[/tex]
How many times greater is 72,980,001 than 54,908?
A. 1.4 x 10^3
B. 7.14 x 10^-4
C. 1.4 x 10^4
D. 7.14 x 10^3
Answers
The correct option is A. 1.4 x 10^3
Exponents: The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 3^4 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.
The first number = 72,980,001
The second number = 54908
Dividing the first number by the second number we get:
=72980001/54908 = 1329.13
Which is equivalent to 1.4 x 10^3
So, 72,980,001 is 1.4 x 10^3 times greater than 54,908
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Select all the digital construction tools that do the same job as a straightedge.
-Line
-Segment
-Point plotted on an object
-Point of intersection
-Circle with center through point
Answers
The correct answers are line and segment.
can someone help me find the vertex of y=1/2x^2+2?
Answers
Answer:
(0,2)
Step-by-step explanation: