Answer:
C.) 1
Step-by-step explanation: Any number raised to the zeroth power will always be 1.
Sergio is working on a research project involving the ages of students at Brooklyn College. After interviewing 500 students, he has determined that the average age of a Brooklyn College student is 20 years and 6 months. He has further determined that the range of ages of the students on campus follows a normal distribution with a standard deviation of 2 years. What is the probability of a randomly chosen student being exactly 21 years old
Answer:
The probability of of a randomly chosen student being exactly 21 years old.
= 1.293
Step-by-step explanation:
Step(i):-
Given Population size n = 500
Mean of the Population = 20 years and 6 months
= [tex]20 + \frac{6}{12} = 20 +0.5 = 20.5 years[/tex]
Standard deviation of the Population = 2 years
Let 'X' be the range of ages of the students on campus follows a normal distribution
Let x =21
[tex]Z = \frac{x-mean}{S.D}[/tex]
[tex]Z = \frac{x-mean}{S.D} = \frac{21-20.6}{2} =0.2[/tex]
The probability of a randomly chosen student being exactly 21 years old.
P( Z≤21) = 0.5 + A( 0.2)
= 0.5 +0.793
= 1.293
Will give brainliest answer
Answer: (-3 , 6)
dhtyjmkuhluyjtefey
What is the absolute value of -2 2/3 as a mixed number in simplest form
Answer:
2 2/3
Step-by-step explanation:
1) First, find the absolute value of -2 2/3. The absolute value is 2 2/3.
2) Next, convert 2 2/3 to an improper fraction because we want to find the simplest form. The improper fraction is 8/3.
3) Finally, 8/3 cannot be reduced any further, so the answer is 2 2/3.
Hope this helps!
The absolute value is denoted by |x|.
Any negative value put in absolute becomes positive.
The absolute value of [tex]-2\frac{2}{3}[/tex] as a mixed number in its simplest form is [tex]2\frac{2}{3}[/tex].
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]-2\frac{2}{3}[/tex]
We have to write its absolute value.
The absolute value is denoted by |x|.
Any negative value put in absolute becomes positive.
Example:
|-1| = 1
|1| = 1
|-2| = 2
Now,
| [tex]-2\frac{2}{3}[/tex] | = [tex]2\frac{2}{3}[/tex]
This is in its simplest form.
Thus,
The absolute value of [tex]-2\frac{2}{3}[/tex] as a mixed number in its simplest form is [tex]2\frac{2}{3}[/tex].
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in geometry I need to know and find the x-Find the value of x
Answer:
x = 22
Step-by-step explanation:
Degree of measure of a line: 180°
Step 1: Set up equation
5x + 6 + 3x - 2 = 180
Step 2: Solve for x
8x + 6 - 2 = 180
8x + 4 = 180
8x = 176
x = 22
A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes.The coordinates after both reflections are x’( ), Y’( ), and Z’( )
Answer:
x'(-3,-2), y' (-5,1), z'(2,-3) (this one was difficult to answer because pictures help me answer something like this easier not sure if it is 100% correct if not im sorry)
Step-by-step explanation:
help me out with this
Answer:
Age Frequency
20-29 Answer: 1
30-39 Answer: 6
40-49 Answer: 8
50-59 Answer: 5
60-69 Answer: 6
70-79 Answer: 3
80-89 Answer: 1
Matthew drove 189 miles in 7 hours. If he continued at the same rate, how long would
it take to travel 297 miles?
Answer:
11 hours
Step-by-step explanation:
on delta math
The first step in setting financial goals is
Answer:
step #1: Set Realistic and Achievable Goals
Step-by-step explanation:
Answer:
See what matters to you.
Step-by-step explanation:
You need to know what you want in order to know what to set goals on. You need to write down everythig while doing this.
HOPE IT HELPED
A restaurant used 8.4 ounces of cheese to make 4 slices of pizza. If each slice had the same amount of cheese, how much cheese was on each slice?
Melissa has a bag that contains 6 red marbles , 8 yellow marbles, and 18 blue marbles. If she choose one marble from the bag , what is the probability that the marble is not blue
Answer:
7/16
Step-by-step explanation:
There are a total of 32 marbles. Of these marbles, 14 are not blue. So the probability is 14/32, or 7/16.
If a = 2, b = -3 and c = -4, evaluate |a - 5| - 1
Answer:
2
Step-by-step explanation:
the absolute value of a-5 is 3, 3-1 is 2
Answer:
2
Step-by-step explanation:
1) I a - 5 I = 3 because -2 - 5 equals -3, but the absolute value of -3 is 3.
2) 3 - 1 = 2
Hope this helps!
which of the following is an equation of the line that passes through the point (-2, 3) and is perpendicular to the graph of the equation y=3x-2?
Answer:
Step-by-step explanation:
perp. -1/3
y - 3 = -1/3(x + 2)
y - 3 = -1/3x - 2/3
y - 9/3 = -1/3x -2/3
y = -1/3x + 7/3
Jada can read 3/5 of a book in 1/4 of an hour. How long would it take her to read one whole
book?
Answer:
25 Minutes
Step-by-step explanation:
Well, 1/4 of an hour is obviously 15 minutes. So if she read 3/5 of the book in 15 minutes, you have to find how long it took her to read 1/5 of the book. If 15 minutes is 3/5, then 15/3 is 5, which is the time it took to read 1/5 of the book. You add 10 to 15 and you get 25. I hope this helps!
If Jada can read 3/5 of a book in 1/4 of an hour, it will take her 5/12 of an hour to read one whole book
Time taken to read 3/5 of the book = 1/4 hours
To get the time taken to read 1 book, we will divide 1/4 hours by 3/5
Time taken to read 1 book = [tex]\frac{1}{4}\div \frac{3}{5}[/tex]
The division sign changes to multiplication and 3/5 is changed to its reciprocal (5/3)
Time taken to read 1 book = [tex]\frac{1}{4}\times\frac{5}{3}[/tex]
Time taken to read 1 book = [tex]\frac{5}{12}[/tex]
If Jada can read 3/5 of a book in 1/4 of an hour, it will take her 5/12 of an hour to read one whole book
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what is an axiomatic system
Answer:
n mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.
answer from wikipedia
hope this helped (:
Answer:
an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.
Step-by-step explanation:
PLEASE HELP FAST! ITS EASY! WILL GIVE BRAINLIEST!
Type the correct answer in each box. Use numerals instead of words. A race car is driven by a professional driver at 99 m/h. What is this speed in km/h and km/min?
1 mile = 1.61 kilometers
1 hour = 60 minutes
Round your answers to the nearest tenth. The speed is equivalent to
( ) km/h,
or ( ) km/min
Answer:
160 kilometers per hour
9560 kilometers per minute
Answer:
Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.
-Step by Step-:
-The speed of the car is given as 99 mi/hour.
Now, WE know that 1 Mile = 1.61 KM
Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.
⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour
Also, 1 hour = 60 minutes
⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min
I forgot how to set up 9x+3<21
Answer:
Easy as pie:9x+3<21=11x<21.This means 11x<21. Eleven x is less than 21.
Which is true.
/5/= can someone please explain this?
Answer: / = divided by
Step-by-step explanation:
One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number of sterile males that mate with fertile females but produce no offspring. Let P represent the number of female insects in a population and S the number of sterile males introduced each generation. Let r be the per capita rate of production of females by females, provided their chosen mate is not sterile. Then the female population is related to time t by
Answer:
P + S / P [(r - 1) P - S] dP
Step-by-step explanation:
If r = 0.10 and S = 900 then,
P + 900 / P [(0.10 - 1) P - 900] dP
Solving the equation we get,
P + 900 = (B - 0.9A)P - 900A
If A = -1,
B = 0.10
t = 0 and P = 10,000
ln 10000 - 1 /9 ln (0.9 * 10000 + 900) + C
C = 10.2326.
22 - [1/2 • (5 x 4) + 4]
leah runs 1/2 a mile in 15 minutes how far do leah run in one hour?
Answer:
she runs 2 miles
Step-by-step explanation:
basic math
Use the drawing tools to form the correct answer on the graph.
Plot a line for the axis of symmetry of this quadratic function. Also mark the x-intercept(s), y-intercept, and vertex of the function.
f(x) = 3(x + 3)(x + 1)
Answer:
Step-by-step explanation:
if you earn 1425 dollars by working 5 days a week and get a bonus of 200 how much money do i earn a day
Answer:
You will earn $285 a day but with the bonus you will earn $485.
Step-by-step explanation:
Do you need an explanation?
Tyler wants to use $300 he has saved to buy a new guitar and join a music club. The guitar costs $140. The music club has a $25 membership fee, and for $11.95 per month, members can download 30 songs. Tyler can afford the music club membership for____ months, after which he will have_____ left.
Answer:
11 months ; $3.55
Step-by-step explanation:
Amount saved = $300
Cost of guitar = $140
Membership fee = $25
Monthly fee = $11.95
For how manyonths can Tyler afford the membership :
The one time fee = (membership fee + cost of guitar)
= $140 + $25 = $165
Amount left = $300 - $165
Amount left = $135
Number of monthly fee the balance can afford :
Amount left / monthly fee
= $135 / $11.95
= 11.29
Hence, the number of months he can pay for is 11 months
Amount left = $135 - ($11.95 * 11 months)
$135 - $131.45
= $3.55
Find each product. Then determine which conclusion can be drawn based on the results.
√2•√2
√5•√7
√ 2•18
√2•√6
A. The product of two irrational numbers is always rational.
B. The product of two irrational numbers can be rational or irrational.
C. The product of two irrational numbers is always irrational.
D. The product of two irrational numbers cannot be determined.
Answer:
B. The product of two irrational numbers can be rational or irrational.
Step-by-step explanation:
An irrational number is a number that is real and it cannot be written or expressed as a fraction.
For example , 2√3, √5 are irrational numbers.
A rational number is a number that is real and can be expressed as a fraction. It is a whole number. For example: 5, 7 are rational numbers
In the above question, we are a pair of rational and irrational number, 2 irrational numbers and we are asked to draw conclusions from their product
a) √2•√2 = √2 × √2 = √4 = 2 = rational number
b) √5•√7 = √5 × √7 = √35 = Irrational number
c) √2•18 = √2 × 18 = 18√2 = Irrational number
d) √2•√6 = √2 × √6 = √12 = Irrational number.
My conclusion from the above results is option B, which states that
B. The product of two irrational numbers can be rational or irrational.
Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3
2
59
51
3
Answer:
b
Step-by-step explanation:
Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3
2
59
51
3
Mark is trying to raise money for his school. His goal is to raise $400. His mom gave him $30, and he sells candy bars for $1.75 a piece to raise the money. he sells on average about 45 candy bars a day. How many candy bars will mark have to sell and about how many days will it take to reach his goal?
Answer: It will take 5 days to reach his goal
Step-by-step explanation:
How I got 5 days was if you do
1.75 x 45 = 78.75
SO you add 30.oo his mom gave his and 78.75
keep add 78.75 intill
you may go over bugget.
I went over my work on a caculator
and I got 423.75
Let me know if you get something different or I did something wrong.
Find the average rate of change of g ( x ) = 5 x 3 + 4 from x = − 1 to x = 3
Answer:
Go to symbolab.com, online calculator, so good trust me
Step-by-step explanation:
The average rate of change of [tex]g ( x ) = 5 x^3 + 4[/tex] from x = − 1 to x = 3 is 35.
What is average rate of change of function?"It is a measure of how much the function changed per unit, on average, over that interval."
What is the formula average rate of change of function?The average rate of change of function f over the interval a ≤ x ≤ b, is given by this expression: [tex]\frac{f(b)-f(a)}{b-a}[/tex]
For given question,
We have been given a function [tex]g ( x ) = 5 x^3 + 4[/tex]
We need to find the average rate of change of function g(x) from x = − 1 to x = 3
Here, a = -1 and b = 3
[tex]g(a)\\= g(-1)\\=5(-1)^3+4\\=-5+4\\=-1[/tex]
and the value of g(b) is,
[tex]g(b)\\=g(3)\\=5(3)^3+4\\=135+4\\=139[/tex]
Using the formula of average rate of change of function,
[tex]\frac{f(b)-f(a)}{b-a}\\\\=\frac{139-(-1)}{3-(-1)}\\\\=\frac{140}{4}\\\\=35[/tex]
Therefore, the average rate of change of [tex]g ( x ) = 5 x^3 + 4[/tex] from x = − 1 to x = 3 is 35.
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If anyone can understand this can somebody help me please?
Answer:
I am so sorry i am confused.
Evaluate (-32)^-4/5 . Do not leave any exponents in your answer.
Answer:
1/16Step-by-step explanation:
(-32)^-4/5 =(-2^5)^-4/5 =(-2)^-(5*4/5) =(-2)^ -4=16^-1=1/162 MATH QUESTIONS 20 POINTS
Answer:
C would be on the inverse of the function