Function represent relationship between variables. The value of f[g(x)] when f(x) = 7x+13 and g(x) = x+2 is 7x+27.
What is Function?A function assigns the value of each element of one set to the other specific element of another set.
Given to us
f(x) = 7x+13
g(x) = x+2
In order to find the value of f[g(x)], we will substitute the value of g(x) at the place of x in f(x).
[tex]f[g(x)] = 7(x+2)+13 \\\\ f[g(x)] = 7x+14+13 \\\\ f[g(x)] = 7x + 27[/tex]
Hence, the value of f[g(x)] when f(x) = 7x+13 and g(x) = x+2 is 7x+27.
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GRADUATION In Grade 12 class of 100 students, 91 went to the Grade 12 graduation. If two people are chosen at random from the entire class, what is the probability that at least one of them did not go to graduation?
Probabilities are used to determine the chances of events
The probability that at least one of them did not go to graduation is 0.173
How to calculate the probabilityThe number of students in Grade 12 class is:
n = 100
The number of students that went to the graduation is
p = 91
The above means that:
q = 9 --- the number of students that did not attend the graduation
So, the probability that at least two students do not attend the graduation is:
Pr = P(None) + P(One)
So, we have:
[tex]Pr = 9/100 * 8/99 + 9/100 * 91/99 + 91/100 * 9/99[/tex]
Evaluate
Pr = 0.173
Hence, the probability that at least one of them did not go to graduation is 0.173
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If 7 men can do a certain job in 12 days, how long would it take 6 mens to do the same job?
Answer:
about 10 days
Step-by-step explanation:
HELP ME PLS ON THIS QUESTIONNN!!!!!!!!!!!!!
Step-by-step explanation:
area of trapezoid = 1/2 × (a+b) h
where a = long base
b = short base
h = height
given that, a = 8, b = 5, a of trapezoid = 104:
area of trapezoid = 1/2 × ( 8+5) h
104 = 13/2 h
104 * 2 = 13 h
13 h = 208
h = 208 / 13
h = 16.0 ft.
hope this helps you!
-s.
Need Help Quickly!
Which expressions describe the area of the shaded region? Select all that apply.
A rectangle is divided into 12 columns and 6 rows, making 72 smaller rectangles. An area that includes 9 smaller rectangles and is the intersection of 3 of the 12 columns and 3 of the 6 rows is shaded.
Answer:
c
Step-by-step explanation:
the height is 6 and the length is 12
the shaded part is 3 boxes by 3 boxes
we can write it as 3/6 by 3/12
it simplifies to 1/2 by 1/4
Answer:
A & C
Step-by-step explanation:
It is A & C!
It is A because:
You said it yourself in the last paragraph of your question:
"An area that includes 9 smaller rectangles and is the intersection of 3 of the 12 columns and 3 of the 6 rows is shaded."
A is fits the perfect description for what you said in the last paragraph.
It is C because:
C is the other answer because it's an equivalent fraction to A.
1/4 x 3/3 = 3/12
1/2 = 3/6
Hope this helps, rose <3
A businessman bought a personal computer for $10,768. Calculate the selling price of the personal computer if he made a profit of 12 percentage
Answer:
$12,060
Step-by-step explanation:
LET selling price be rep by x
since he made a profit of 12%, we then add to 100%
100% + 12% = 112%.
to find the selling price, we multiply cost price by 112%
112% x $10768 =
112 / 100 x $10,768
= 1.12 x $10,768 = 12,060
selling price = $12,060.
Answer:
12060.16
Step-by-step explanation:
What are the solutions of this quadratic equation x2 +x 8x 3 = 0
Answer:
-4 ± √13
Step-by-step explanation:
Plsss someone help me!!
Answer:
1. 6 words per minute
2. Michaela
3. Robert, Laura, Michaela
Step-by-step explanation:
90M+5857-990+54758-123+47483=
Answer:
90,106,985
Step-by-step explanation:
90,000,000
5,857
54,758
+ 47,483
------------------
90,108,098
990
- 123
------------------
90,106,985
Answer:
i don't know if you need it still but the answer is 90106985
Urgent! Ans pls
if p=-2, find the value of -2p³-3p²+4p+7
Answer:
3
Step-by-step explanation:
[tex]-2(-2)^3 - 3(-2)^2 + 4(-2) + 7\\= -2(-8) - 3(4) - 8 + 7\\= 16 - 12 - 8 + 7\\ = 3[/tex]
what is area of ths shape
The area is 114 yards
Step-by-step explanation:
(10x9) + (4x6)
Answer:
3600
Step-by-step explanation:
multiply them all i believe im wrong tho i dont know
6x−4=26 what is the answer
Answer:
-24
Step-by-step explanation:
6×-4=-24(divide by 4)
=-6(divide by 26)
=-0,23
what is the answer for :
94.284 multiplied by 8?
its due veryyyyy soonnnn
help
Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base LaTeX: 8. She asks Han what he thinks will happen to the volume of the rectangular prism if she triples LaTeX: 8. Han says the volume will be 9 times bigger. Is he right? Explain or show your reasoning.
The volume will be 9 times increased if she triples the dimension of the square. So, yes, he is right because 3 is 2 times in the formula.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Given
Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base 8.
The side of the square is 8.
The height of the prism is 11.
Volume = Area of square × height.
The volume of the original prism will be.
[tex]\rm V_1 = 8 * 8 * 11\\\\V_1 = 704[/tex]
If she triples the side of the square.
Then dimensions will be
The side of the square is 24.
The height of the prism is 11.
The volume of the modified prism will be.
[tex]\rm V_2 = 24 * 24* 11\\\\V_2 = 9*704\\\\V_2 = 9 \ Times \ of \ V_1[/tex]
Thus, the volume will be 9 times bigger. So, yes, he is right because 3 is 2 times in the formula.
More about the geometry link is given below.
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Find the slope of the line that contains (3,-2) and (4,3).
Answer:
m = 5
Step-by-step explanation:
Recall that "slope" = rise/run.
Moving from the first point to the second, we see a 'run' of 1 and a 'rise' of 5. Thus, the slope of the line containing these two points is
m = rise/run = 5/1, or m = 5
Factinate claims that 84% of teenagers think highly of their mother. To investigate this claim, a school psychologist selects a random sample of 150 teenagers and finds that 135 think highly of their mother. Do these data provide convincing evidence that the true proportion of teens who think highly of their mother is greater than 0.84?
1. State appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest The school psychologist performed the significance test and obtained a P-value of 0.0225.
2. Explain what it would mean for the null hypothesis to be true in this setting.
3. Interpret the P-value.
4. What conclusion would you make at the a = 0.05 level?
Use the z-distribution, we have that:
1.
The null hypothesis is of [tex]H_0: p = 0.84[/tex].
The alternative hypothesis is of [tex]H_1: p > 0.84[/tex].
2. It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.
3. We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.
4. The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.
How the p-value influences the decision?If the p-value is less than the significance level, the null hypothesis is rejected.If the p-value is more than the significance level, the null hypothesis is not rejected.Item 1:
At the null hypothesis, we test if the proportion of teenagers that think highly of their mother is of 84%, hence:
[tex]H_0: p = 0.84[/tex]
At the alternative hypothesis, we test if this proportion is greater than 84%, that is:
[tex]H_1: p > 0.84[/tex]
Item 2:
It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.
Item 3:
135/150 = 0.9.
We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.
Item 4:
The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.
More can be learned about the use of the z-distribution for an hypothesis test at https://brainly.com/question/26454209
10 m
5.7 m
what is the area?
Answer:
57
If it's a triangle, you just take that answer and multiply it by 0.5
Step-by-step explanation:
Well if you take the two numbers and multiply them together- that is what you get. When it comes to area, you take the two side lengths and multiply them together
Answer:
57m^2
Explanation:
10 x 5.7 = 57 (because its a decimal)
m x m = m^2. or mso thats why its 57m^2
How to subtract mixed fractions with same denominators.
Answer:Rewrite the problem in vertical form.
Compare the two fractions.
If the top fraction is larger than the bottom fraction, go to Step 3.
If not, in the top mixed number, take one whole and add it to the fraction part, making a mixed number with an improper fraction.
Subtract the fractions.
Subtract the whole numbers.
Simplify, if possible.
Step-by-step explanation:
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:)
Answer:
uh
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
10 Points If anyone helps me with this problem right now!
Answer: Bottom right
Step-by-step explanation:
5^0 = 1
1^-4 = 1
5^6 / 1 = 5^6
So the answer is the bottom right
how many days are in 12,000 centuries
Answer: 438000000 days.
Step-by-step explanation: I'm not joking, it's actually 438000000 days.
Choose the number equal to:
–16.48 ÷ 4
A. –65.92
B. –4.12
C. 4.12
D. 65.92
note that divoding a negative number and a positive number will give a negative number so.. -4.12
5z 3 −2z 4 −9z 2 z5, z, cubed, minus, 2, z, start superscript, 4, end superscript, minus, 9, z, squared, plus, z What is the degree of the polynomial?.
Answer:
The degree of the polynomial is 4
Step-by-step explanation:
Which expressions are equivalent to 4 to the 5 power choose all that apply
Answer:
since you didn't put the answer choices, this is what I know...
4 to the 5 power is 1024
it can be written as:
4x4x4x4x4 or 4^5
Step-by-step explanation:
How many solutions are there? And what is the answers?
Answer:
x = 4 y = 3
Step-by-step explanation:
4 + 3 = 7
4 - 3 = 1
There is only one answer
Similar Figures/Proportion
Answer:
around 40.2
Step-by-step explanation:
To find this you can cross multiply.
(11/15) = (x/58.8). Solve for x
So, the measure of NO is 43.12.
Complete the sentence.
is 10 times as much as 60.
Answer:
10 times as much as 60 equals 600
Step-by-step explanation:
10x60=600
Answer:
10 times as much as 60 is 600
Step-by-step explanation:
60×10=600
HELPPPPPPPP!!! the answer choices are 58 49 42 55!!!!!
Lily exercises for a total of 150 minutes each week. She does weight training and cardio workouts. She spends more time doing cardio workouts. The difference between the time she spends on cardio workouts and the time she spends weight training is 72 minutes. How much time does Lily spend on each type of activity?
Answer:
She spends 111 minutes doing cardio workouts and 39 minutes doing weight training
Step-by-step explanation:
Call the time she spend on cardio workouts : a
And the time she spend on weight training : b
We have : a + b = 150
a - b = 72
Add them together, we get : a + b + (a-b) -> a+ b + a - b = 150 + 72 = 222
= 2a
=> 2a = 222, and we have a = 111
=> b = 150 - 111 = 39
Hope this helps :)
can someone help me with this please ?????
Answer:
180 - 55 = 125
The correct answer is B.
In Mona’s new video game she earns 30 points for each fish caught and 80 points for each octopus captured, but she loses 15 points every time she captures a crab. Which expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs? 95 (x y minus z) 110 (x y) minus 15 z 30 x 80 y minus 15 z 30 x 80 y minus 15 z.
The expression represents the total number of points Mona will earn if she catches x fish, y octopus, and z crabs is 30x + 80y - 15z.
What is an expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
30 points for fish
80 points for Octopus
-15 points for crab
As it is given in the problem that Mona catches x number of fishes, y number of octopuses, and z number of cabs. therefore,
Points earned through fishes [tex]=x \times 30 = 30 x[/tex]
Points earned through Octopus [tex]=y \times 80 = 80 y[/tex]
Points earned through crabs[tex]=z \times -15= -15 z[/tex]
Total points earned by Mona in the video game
= Points earned through fishes, octopus, and crabs
[tex]=30x + 80 y -15z[/tex]
Hence, the expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs is 30x + 80y - 15z.
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