Answer:
3/13
Step-by-step explanation:
There are a total of 13 letters in the word and 3 of them are A’s so 3/13 is the probability of getting an A.
The probability of getting the letter A is given by P ( A ) = 3/13
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of getting the letter A be P ( A )
Now , the word is given as S = { "MATHEMATICIAN " }
The number of letters in the word S = 13 letters
The number of letter A in the word = 3 A's
So , probability of getting the letter A , P ( A ) = number of letter A in the word / number of letters in the word S
On simplifying , we get
The probability of getting the letter A , P ( A ) = 3/13
Hence , the probability is 3/13
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Find f(g(x)) simplify completely f(x)= x^2+5x+2 g(x)=3x
Answer:
f(g(x)) = 9x² + 15x + 2
Step-by-step explanation:
f(x) = x² + 5x + 2g(x) = 3xSolving f(g(x))
f(g(x))f(3x)f(3x) = (3x)² + 5(3x) + 2f(3x) = 9x² + 15x + 2f(g(x)) = 9x² + 15x + 2Answer:
[tex]f(g(x)) = 9x^2 + 15x + 2[/tex]
Step-by-step explanation:
Step 1: State the equations
[tex]f(x) = x^2 + 5x + 2[/tex]
[tex]g(x) = 3x[/tex]
Step 2: Insert the equation and solve
[tex]f(g(x)) = (g(x))^2 + 5(g(x)) + 2[/tex]
[tex]f(3x) = (3x)^2 + 5(3x) + 2[/tex]
[tex]f(3x) = 9x^2 + 15x + 2[/tex]
[tex]f(g(x)) = 9x^2 + 15x + 2[/tex]
Answer: [tex]f(g(x)) = 9x^2 + 15x + 2[/tex]
Item 7
Which of the following has a slope of –2 and a y-intercept of 4?
y = –2x – 4
y = 2x + 4
y = 2x – 4
y = –2x + 4
can someone please help me with my homework :) please it would really help because its due tmr thanks if you could.
Answer:
Answer are in the steps.
Step-by-step explanation:
Most of the problems is parallelogram some angles are the same. 2 angles add up to 180° are known as supplementary angles also known as linear pair.
#1:
<1 = 148° , <2= 32° , <3 = 148° , <1 = 32° , <5 = 148° , <6 = 32° , <7 = 32°
#2: All of them are 90° because of linear lines that add up to 180° / parallelogram.
#3: If <1 = 130°, then <8 = 148°.
Because Parallelogram <1 and <8 transversal.
#4 If <5 = 53° , then <3 = 127°
Because <5 = <4 so <5 + <3 = 180°
#5 If <7 = 71° , then <3 = 109°
Because <7 + <3 = 180°
#6 If <4 = 65° , then <6 = 115°
Because <5 = <4 so <4 + <6 = 180°
Help Please.
I'm not the sharpest knife in the drawer
Step-by-step explanation:
Area = 1/2 × base × height
= 1/2 × 23/6 × 2.4
= 23×2.4/12
= 4.6 ft²
So far this season, the Utah Jazz have won 16
out of 48 games. What percent of games have
the Jazz won?
Answer:
33%
Step-by-step explanation:
16 is one third of 48
What would be the best method of achieving a valid simple random sample of students at UTSA?
Going to the website UTSA
What is an equation of the line that passes through the points (-7,3) and (5,3)?
Answer:
y=3
Step-by-step explanation:
Answer:
y = 3
Step-by-step explanation:
first the slope:
[tex]m = \frac{3-3}{-7-5} =0[/tex]
The equation
[tex]y-3=0(x-(-7))\\y-3=0[/tex]
[tex]y=3[/tex]
The line is parallel to the "x" axis, has no slope.
Hope this helps
solve each inequality |8x+5|<-3
Step-by-step explanation:
[tex]| 8x - 5 | < - 3[/tex]
[tex]8x < - 3 + 5[/tex]
[tex]8x < 2[/tex]
[tex] \frac{8x}{8} < \frac{2}{8} [/tex]
[tex]x = \frac{1}{4} [/tex]
Answer:
x = 1/4
Step-by-step explanation:
Suppose we want to choose 5 objects, without replacement, from 18 distinct objects.
(a) How many ways can this be done, if the order of the choices is taken into consideration?
(b) How many ways can this be done, if the order of the choices is not taken into consideration?
Answer:
(a) 1,028,160
(b) 8,568
Step-by-step explanation:
(a)
[tex]18 \times 17 \times 16 \times 15 \times 14 = 1028160[/tex]
(b) 18! / (5! 13!) =
[tex] \frac{18 \times 17 \times 16 \times 15 \times 14}{5 \times 4 \times 3 \times 2 \times 1} = 8568[/tex]
M ∠ 4 = ______ °
m ∠ 5 = ______ °
m ∠ 6 = ______ °
Answer:
Step-by-step explanation:
Please help me solve math problems
VW = 6
hope it helps...!!!
Solve for x
x=
4x+2 3x+24
Answer:
x = - 8/3
Step-by-step explanation:
Hope this helps
Data and Statistics- Find the median in the box plot below:
Answer:
Your median is 40
Step-by-step explanation:
Ethan and Logan read a total of 23 books over the summer. Ethan read 5 more books than Logan. How many books did Logan read this summer? How many books did Ethan read this summer?
Answer:
Logan: 9
Ethan: 14
Step-by-step explanation:
Let Ethan = e
Let Logan = l
1) We can set up two equations and solve them simultaneously.
e + l = 23
5 + l = e
1.1) To solve these equations, we can either use substitution or elimination.
5 + l + l= 23
2l = 23 - 5
2l = 18
l = 18/2
l = 9
2) Plug the result of l into one of the two equations above.
5 + 9 = e
14 = e
Which explanation justifies how the area of a sector of a circle is derived?.
Step-by-step explanation:
We know the area of a circle is
[tex]\pi {r}^{2} [/tex]
That is when the cricle is 360 degrees full, so another formula is
[tex] \frac{360}{360} \pi {r}^{2} [/tex]
If we the find the area of the sector with angle x, then that formula will be
[tex] \frac{x}{360} {\pi}r^{2} [/tex]
Answer:
The area of a sector is part of an area of the entire circle. Determine the fraction of the circle that the sector represents and multiply it by the area of the circle.
Step-by-step explanation:
Which equation has a slope of 3? *
Y = 5x + 3
y = 1/5 x - 3
y = 1/3 x + 5
y = 3x + 5
I think of a number, multiply it by 2 and add 1. My
answer is 15. What number was I thinking of?
Answer :: 7
Explanation ::
Okay, I'm going to stretch this explanation long so people can understand! Hopefully this helps :) I will also provide a shorter explanation so if people want to find out how to do it quicker without details to help you understand better, they can read the shorter explanation!
- long explanation -
Equation provided from the info :: (x * 2) + 1 = 15
We need to find out what number is the x. First of all, one way to do it is do the equation backwards. And the operators will be the opposite too, for example addition is the opposite of subtraction and multiplication is the opposite of division. Now once we flip the equation it should look like this:
(15 - 1) / 2 = x
Let's break the equation apart so it's easier to work with. Remember, the rule PEMDAS. Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. Why I put "and" between some words, is because they are the same level and you should go left to right from the equation. So the equation in parentheses is (15 - 1). So we just have to solve it! The answer is 14, which is an even number, so we don't have to fiddle with decimals. But if you want to know how to divide an odd natural number, feel free to comment on this answer! The equation should look like this:
14 / 2 = x
Now, all we have to do now is divide 14 in half! As someone who memorised their whole multiplication and division table, it's easy for me to figure it out. But if you haven't, try using addition! All you have to do is count up your numbers.
1 + 1 = 2
2 + 2 = 4
3 + 3 = 6
4 + 4 = 8
5 + 5 = 10
6 + 6 = 12
7 + 7 = 14!
So now we know 14 / 2 is 7. Sorry if this is too easy, I'm just giving attention to some who learn slowly, which is absolutely alright! So now we have our 2 answers. The equation now looks like this:
14 / 2 = 7.
Well we now know what the x is, and if you want to make sure it's the correct answer just flip the equation!
(7 * 2) - 1
7 * 2 = 14
14 - 1 = 15
Your answer is the same one provided, so the number is 7!
- short explanation -
The equation with the numbers provided is (x * 2) + 1 = 15
Let's flip the equation so it's easier! It should look like this:
(15 - 1) / 2 = x
Now all we have to do is solve it!
15 - 1 = 14
14 / 2 = 7
So our answer is 7! To check if the answer is correct, just re-do the unflipped equation!
(7 x 2) + 1 = ??
7 x 2 = 14
14 + 1 = 15
15 is the answer given in the text, so 7 is the correct answer.
Shelly and Terrence earned points in a game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The expression below shows Terrence's total points in the game:
90x − 20
What does the constant term of the expression represent?
A :The total points Terrence earned
B :The total number of tasks Terrence completed
C : The sum of Shelly's and Terrence's total points
D :The difference between Shelly's and Terrence's total points
Answer:
D: difference between Shelly and Terrence total points
answer what the question is asking
Answer:
12 and 6
Step-by-step explanation:
12×6=72
12÷6=2
I hope this may help you
Can someone please give me the (Answers) to this? ... please ...
I need help….
Solve the system of equations.
V = 4x+1
y = x^2+ 2x-2
Answer:
x = 1, y = 5 or (1, 5)Step-by-step explanation:
Given
y = 4x + 1y = x² + 2x + 2Equating them
4x + 1 = x² + 2x + 2x² - 2x + 1(x - 1)²x = 1Substituting x in the 1st Equation
y = 4(1) + 1y = 5Solution :
x = 1, y = 5 or (1, 5)I LITTERALY BEG OF YOU TO HELP ME!!
LMN≅PQR
What is the value of x in degrees?
Answer: 56
Step-by-step explanation:
Is the following function even, odd, or neither? f(x) = -2x + 6
NEED ANSWER ASAP !!!!!!!!!!!! :(
Answer:
its an odd
Step-by-step explanation:
The leading coefficient is negative
hope this helps
Louis bought a giant sub sandwich for the party. He wants to cut into 6-inch sections. If the sandwich is 18.25 feet, how many sections can he cut?
the percent of age of rajus fater is twice that of Raju. after 10 years, the sum of their ages would be 80 years. find their present age
pls fast plss
Answer:
raju is 20 years old while the father is 40 years old
Step-by-step explanation:
present : lets assume raju is x years old so the father will be 2x
after 10 yrs raju will be x+10 yrs while the father will be 2x+10 yrs
therefore :
(x+10)+(2x+10)=80
liketerms together
x+2x+10+10=80
3x+20=80
3x=80-20
3x=60
simplify
x=20 so raju is 20 years old now and the father since he is twice the age of his son he is 40 years old
I need help please im not sure what the answer is .
Answer:
[tex]log_{8} \frac{11}{x}= log_{8} 11 -log_{8} x[/tex]
Step-by-step explanation:
[tex] log_{8} \frac{11}{x}= log_{8} 11 -log_{8} x[/tex]
HELPPP ASAP!!!
A model rocket is launched from a raised platform at a speed of 144 feet per second. Its height in feet is given by:
h(t)
-16t2
144t + 20 (t=seconds after launch). What is the rockets maximum height reached after it is launched?
•280 feet
263 feet
344 feet
355 feet
Answer:
344 ft
Step-by-step explanation:
This is the equation for a dome shaped parabola
The TIME of the highest point is found by
t = - b/2a = - 144/(2 * -16) = 4.5 sec
Sub this value of t into the equation to find max height = 344 ft
A ring-shaped region is shown below.
Its Inner diameter is 26 it, and its outer diameter is 34 ft.
16
Find the area of the shaded region.
Use 3.14 Do not round your answer
Answer:
4.16
Step-by-step explanation:
ASAPPPPPPPPPPPPPPPPPPP HELP 50 PTS AND BRAINLY EST
answer is 1 1/2
hope it helps...!!!
Mrs. Leger has a rectangular garden with side lengths measuring (3x + 10) inches
and (2x + 7) inches. She needs to purchase fertilizer to cover the area of her
garden. Given the side lengths, what is the area of Mrs. Leger's garden?
The area of Mrs. Leger's garden with length of (3x + 10) in and width of (2x + 7) in is 6x² + 41x + 70 in²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The area of a rectangle = length * width, hence:
Area of rectangular garden = (2x + 7) * (3x + 10) = 6x² + 41x + 70
The area of Mrs. Leger's garden with length of (3x + 10) in and width of (2x + 7) in is 6x² + 41x + 70 in²
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