The probability that at least 1 of them is a universal donor 20.1%
What is a probability simple definition?A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
What are probability and types?Mathematics' study of random events is known as probability, and there are four primary forms of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you might argue that it is the likelihood that a specific event will occur.
According to the given equation:-
The probability that at least one of every three is O-negative is 20.1%
Note that the question is unfinished. The following question is similar:
Type O-negative individuals can donate blood to anyone. In other words, O-negative blood can be transfused to any patient. Only 7.2% of Americans have blood that is O-negative. What is the likelihood that at least one of the ten Americans we randomly choose donating blood is a universal donor?
Detailed explanation:
7.2%, or 0.072, of the population has O-negative blood.
Probability of not being O-negative is equal to 1 - P(O-negative), which is 1 - 0.072, or 0.928.
Using the multiplication rule, calculate the likelihood that 10 persons are O-negative.
Probability that 10 is not zero = (P (not O-negative) ¹⁰ = (0.928) (0.928) ¹⁰ =0.4737
Therefore, the probability that at least one is O-negative is given by the formula: 1 - P(not O-negative) = 1 - 0.4737 = 0.5263.
P(at least 1 in 10 being O-negative) = 52.63% in percentage
to 3 arbitrary donors
likelihood of 3 not - (P) negative (not O-negative) ³ = (0.928) (0.928) ³ = 0.7991
As a result, the likelihood that at least 1 is O-negative is equal to 1 - P(3 not O-negative) = 1 - 0.7991 = 0.2009.
P(at least 1 out of 3 being O-negative) = 20.1% in percentage
Examine all related responses
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Tim's phone service charges $23.79 plus an additional $0.15 for each text message sent per month. If Tim's phone bill was $27.54, which equation could be used to find how many text messages, x, Tim sent last month?
Answer: Tim sent 25 text messages
Step-by-step explanation:
y=mx+c is being used
Since it increases by 0.15 each time so m=0.15 and the starting charge is 23.79 so c=23.79. We also know that his phone bill is 27.54 so y=27.54
Now this can be used to solve x
27.54 = 0.15x + 23.79
3.75 = 0.15x
25=x
Jane has a checking account. The balance at the beginning of December was $8,421.89. During the month she made deposits totally $3,721.33, wrote checks totaling $2,794.43, paid a maintenance fee of $14, and earned
$13.45 in interest on the account. What was the balance at the end of the month?
The balance of jane at the end of the month is $9,348.24
Why not explain interest?
The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as an annual percentage of the loan amount. The interest rate on the loan is this proportion.
At the beginning of the December balance was $8,421.89
She deposited totally $3,721.33
So the balance now is $12,143.22
Now she wrote checks of totaling amount $2,794.43
So now her balance is $9,348.79
Now she paid maintenance fee of $14
So now her balance is $ 9,334.79
Now she earned $13.45 in interest on the account
So now her balance is $9,348.24
Hence, The balance of jane at the end of the month is $9,348.24
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The slope of the trend line is 15. What does that mean in regard to the data of the scatterplot? Check all that apply.
The slope represents the rate of change of the data.
Advertising costs increase $15,000 as sales increase by $1,000.
Sales increase $15,000 as ads increase by $1,000.
A positive slope infers a negative correlation.
A positive slope infers a positive correlation.
The true statements about the slope are:
The slope represents the rate of change of the data.Sales increase $15,000 as ads increase by $1,000.A positive slope infers a positive correlation.How to determine the slope interpretation?The graph that completes the question is added as an attachment'
From the question, we have
Slope of the trend line = 15
This can be represented as
Slope = 15
As a general rule
The slope of a line is the rate of change of the data.Positive slope implies positive correlationThese mean that (a) and (e) are true options
Also, we have:
Slope = 15
Multiply by 1000
Value(1000) = 15 * 1000
Evaluate
Value(1000) = 15000
This means that sales increase $15,000 as ads increase by $1,000.
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For a lower tail test, the p-value is the probability of obtaining a value for the test statistic at least as.
The answer will be, at least as small as that provided by the sample using p-value.
What is the p-value?
Under the premise that the null hypothesis is true, the p-value in null-hypothesis significance testing represents the likelihood of receiving test findings that are at least as extreme as the result actually observed. A severe observed outcome would be highly improbable under the null hypothesis, according to a very small p-value. In academic papers of many quantitative fields, reporting the p-values of statistical tests is standard practice. Misuse of p-value is common and has been a big concern in metascience due to its difficult-to-understand precise meaning.
The probability that a population parameter in a particular statistical model will be less than a given value when the null hypothesis is true is known as the p-value,
And that is also known as a probability value or a measure of significance.
Hence the probability is, at least as small as that provided by the sample using p-value.
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Determine the unknown angle measures.
A =
B =
C =
D =
E =
Answer:
A= 115 degrees.
B= 45 degrees.
C= 115 degrees.
D= 115 degrees.
E= 110 degrees.
Tip: Angles opposite each other- like C and D- are going to be equal.
Step-by-step explanation:
In regression analysis, the error term ε is a random variable with a mean or expected value of.
In regression analysis , the error term ε is a random variable with expected value of 0.
What is regression analysis?
A set of statistical procedures known as regression analysis is used to estimate the relationships between a dependent variable and one or more independent variables.
Main Body:
In regression analysis, the model in the form is called regression model.
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, E(y) = β0 + β1x, is known as regression equation.
So the answer to error term is 0.
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can someone help me to solve this, pls explain me the solution step-by-step, I really need ur help )))))))
Answer:
[tex]\frac{8}{6} = \frac{20}{15}[/tex]
Step-by-step explanation:
It appears that a is the missing value that needs to be solved. The equal sign means that the two values are equal to each other and the other not equal sign means that they don't equal each other.
Whenever dealing with two fractions that equal each other, you can use the fraction cross-product property, where you would multiply the numerator with the denominator and vice versa.
[tex]\frac{8}{a} = \frac{20}{15} \\\\8 \times 15 = 20 \times a\\\\120 = 20a\\\\a = 6[/tex]
So, the fraction would be
[tex]\frac{8}{6} = \frac{20}{15}[/tex]
Create and solve a story problem that would use this equation: y=5x+3 Be sure to define x, y, the constant, the coefficient and the variable.
The story problem that would use this equation: y = 5x + 3 is the cost of a chair is 3 more than 5 times the cost of the table and the cost of the table is x.
The equation is given in the question:
y = 5x+3
To satisfy this equation, we would construct a story problem:
Robbin goes to buy a chair the last week. Now, the cost of the table is x but the seller says that the cost of the chair he wants to buy is 3 more than 5 times the cost of the table.
Hence, the story problem that would use this equation: y = 5x + 3 is the cost of a chair is 3 more than 5 times the cost of the table and the cost of the table is x.
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What is the solution to the inequality
-6+12p+31 > 7?
•p<-8orp> 5
•-8
Answer:
Step-by-step explanation:
your mom
Four people shared fifteen pounds of apples. How many
pounds did each person have?
Answer: Each person had 3.75 pounds of apples
Step-by-step explanation:
15= 4a (a=how many pounds of apples each person owns)
15/4=a
3.75=a
Maleia is tracking her running training program. The table gives her 5K run time at the end of each month.
Month Time (minutes)
1 44
2 40
3 38
4 36
5 34
6 33
What is the equation for the line of best fit where x represents the month and y represents the time?
y = 2.14x + 33
y = 2.14x + 45
y = −2.14x + 33
y = −2.14x + 45
The equation for the line of best fit where x represents the month and y represents the time is: y = −2.14x + 45.
How to find a line of best fit for the data?In order to determine a linear equation of the line of best fit (trend line) that models the data points contained in the table, we would have to use a scatter plot.
In this scenario, the number of months would be plotted on the x-axis of the scatter plot while the time (minutes) would be plotted on the y-axis of the scatter plot.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the trend line on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the number of months and time in the table, a linear equation of the line of best fit is given by:
y = -2.14x + 45
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Answer:
The equation for the line of best fit where x represents the month and y represents the time is: y = −2.14x + 45.
Step-by-step explanation:
The perimeter of APQR is 48, PQ = 18, APQR-ASTU, and ST = 24. What is the perimeter of ASTU?
O 24.4
O 64
O 9.0
O 32
The perimeter if ΔSTU is 64 units
What is perimeter ?
A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
Perimeter of ΔPQR is 48 units
and PQ = 18 units
ΔPQR≅ ΔSTU ;
ST = 24 units
Then the[tex]\frac{Perimeter of PQR}{Perimeter of STU} = \frac{PQ}{ST}[/tex] formula is
Since ΔPQR ≅ ΔSTU
Putting the values the equation becomes
40 / Perimeter of ΔSTU = 18 / 24
40 / Perimeter of ΔSTU = 3 / 4
Perimeter of ΔSTU = 48 * 4/3
= 16 *4
= 64 units
The Perimeter of the ΔSTU is 64 units
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Find x and y so that the quadrilateral is a parallelogram. Answer below and show work.
After solving, the value of x is 8 and the value of y is 9.
In the given question,
We have to find the value of x and y.
It is also given that the given quadrilateral is a parallelogram.
Since the given quadrilateral is a parallelogram so the opposite sides and opposite angles are equal to each other.
So 4x−17=2x−1......................(1)
5y−13=3y+5...............(2)
Simplifying equation 1 to find the value of x
4x−17=2x−1
Add 17 on both side
4x−17+17=2x−1+17
Simplifying
4x=2x+16
Subtract 2x on both side
4x−2x=2x+16−2x
Simplifying
2x=16
Divide by 2 on both side
2/2 x = 16/2
x=8
Hence, the value of x is 8.
Now finding the value of y by solving the equation 2
5y−13=3y+5
Add 13 on both side
5y−13+13=3y+5+13
Simplifying
5y=3y+18
Subtract 3y on both side
5y−3y=3y+18−3y
2y=18
Divide by 2 on both side
2/2 y=18/2
y=9
Hence, the value of y is 9.
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1. If Rhea can buy 6 erasers for 7¢, how many erasers can she buy for 49¢?
Equivalent
Fractions
Rate
Solution
Answer:
42
Step-by-step explanation:
[tex]\frac{eraser}{cost}[/tex] = [tex]\frac{eraser}{cost}[/tex] Fill in what you know and solve for the unknown
[tex]\frac{6}{7}[/tex] = [tex]\frac{x}{49}[/tex] 7 x 7 is 49. Multiply 6 by 7 to find the unknown. 42
The population of ants in the colony can be represented by the function
f(t) = 1400(1.07), where t is the number of months the colony has been
measured.
What is the growth rate??
Answer:
The growth rate is 1.07%
Step-by-step explanation:
y=ab(to the power of x)
b is the growth/decay rate
b is 1.07% here
Answer:
7%
Step-by-step explanation:
The population of ants in the colony can be represented by the function f(t) = 1400(1.07)
Function = 1400( 1 + 7%)
= 1400(1 + 0.07)
= 1400(1.07)
Growth rate = 7%
Geometry, surface area of a square pyramid
The surface area of the cone in terms of [tex]\pi[/tex] is, [tex]95\pi cm^2[/tex].
What is cone?
A cone is a smooth-tapering three-dimensional geometric object with a flat base and an apex or vertex. The base of a cone is made up of all the points on a plane other than the apex, and the apex is connected to all the other points on the base by a series of line segments, half-lines, or lines.
In the given figure, the side length of cone is, 14 cm, and the diameter of the base is 10 cm.
As diameter is 10 cm then radius = 10/2 = 5 cm.
The surface area of the cone is.
SA = [tex]SA = \pi r^2 + \pi rl\\SA = \pi (5)^2+\pi (5)(14)\\SA = 25\pi + 70\pi \\SA = 95\pi cm^2[/tex]
Therefore, the surface area of the cone is, [tex]95\pi cm^2[/tex].
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2/3|4v +6|-2 ≤ 10
what is the solution to this inequality
Answer:
[tex]-6\leq v\leq 3[/tex]
Step-by-step explanation:
I have attached a pdf of my work that explains how to solve this inequality pretty well.
Write y = 7|x + 1|-5 as a piecewise function.
The function y = 7|x + 1| - 5 can be written as a Piecewise Function as follows,
7x + 2 for x > -1
y =
-7x - 12 for x < -1
Given, a function y = 7|x + 1| - 5
Now, we have to write the given function as a piecewise function
|x + 1| = (x + 1) for x > -1 and
|x + 1| = - (x + 1) for x < -1
So, the given function can be written as a piecewise function
7(x + 1) - 5 for x > -1
y =
-7(x + 1) - 5 for x < -1
On simplifying, we get
7x + 2 for x > -1
y =
-7x - 12 for x < -1
Hence, the given function y = 7|x + 1| - 5 can be written as a Piecewise Function as follows,
7x + 2 for x > -1
y =
-7x - 12 for x < -1
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27+(-3+2)-14-(-7) help like its not 19
Answer:
Hi, I don't mean to scam you out of points. But every method I use the answer is indeed 19. So im not sure what you mean by it isn't 19. is that the whole question?
Solve these two equations simultaneously
7x+y = 1 and 2x² - y = 3
Answer:
(- 4, 29 ) and ( [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{2}[/tex] )
Step-by-step explanation:
7x + y = 1 ( subtract 7x from both sides )
y = 1 - 7x → (1)
2x² - y = 3 → (2)
substitute y = 1 - 7x into (2)
2x² - (1 - 7x) = 3
2x² - 1 + 7x = 3
2x² + 7x - 1 = 3 ( subtract 3 from both sides )
2x² + 7x - 4 = 0 ← in standard form
(x + 4)(2x - 1) = 0 ← in factored form
equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
substitute these values into (1) for corresponding values of y
x = - 4 : y = 1 - 7(- 4) = 1 + 28 = 29 ⇒ (- 4, 29 )
x = [tex]\frac{1}{2}[/tex] : y = 1 - 7([tex]\frac{1}{2}[/tex] ) = 1 - [tex]\frac{7}{2}[/tex] = - [tex]\frac{5}{2}[/tex] ⇒ ([tex]\frac{1}{2}[/tex], - [tex]\frac{5}{2}[/tex] )
Use the properties of addition to simplify this expression. 11x+6-4x-2
Answer:
[tex]7x+4[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](11x-4x)+(6-2)[/tex]
2) Simplify.
[tex]7x+4[/tex]
Thanks!
Answer:
7x + 4
Step-by-step explanation:
11x + 6 -4x -2 Combine like terms
7x + 4
if the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can amanda make?
1 ball and 3 board games can be chosen by Amanda in option E. 60 ways.
Here it is given that Amanda needs 1 ball and 3 board games.
The toy store only has 3 kinds of balls and 6 types of board games. Hence we will use combinations to determine the no. of ways she can choose the items
ⁿCₓ = n! / (n - r)! X r!
The ball can be chosen in
³C₁ ways
= 3! / 2! X 1!
= 6/2
= 3 ways
The board game can be chosen in ⁶C₃ ways
= 6! / 3! X 3!
= 720 / 36
= 20 ways
Hence the total number of ways the items can be chosen is
3 X 20 ways
= E. 60 ways.
Complete Question
Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?
A. 9
B. 12
C. 14
D. 15
E. 60
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A random sample of 85 printers discovered that 35 of them were being used in small businesses . find the 99% confidence interval for the population proportion of printers that are used in small businesses.
The 99% confidence interval for the population proportion of printers that are used in small businesses is 0.150<p<0.674.
Do we use the sample size or do we use X two to get to 35? We visited 30 places. We are trying to locate the B hats that X gave us. Over 35, we are tested. Our margin of error is 7.751 over two, which is the same as the confidence interval. This gives us seven points. 258 were present. Since our alpha is 1 – 0.9 and they will want us, we wish to find that critical that is set out for two. We get 6 now they have provided us with a minimal sample size, apologize. Is it finished? If you will, visualizeus tying our p hats without the p hat on one. Yes, indeed. We get 1.645 over.
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A girl read 3/8 of her book one day and 2/5 the next day. How much was there left to read?
Answer:
9/40 of the book was left to read
Step-by-step explanation:
Required to find the fraction of remainder of the book:
first we need to find the (LCM) lowest common multiple so both fractions can have common denominator in order to complete addition or subtraction.
[tex] \frac{3}{8 } + \frac{2}{5} [/tex]
Look at the denominators, we see there is 8 and 5 so that means we have to list the multiples of both numbers until a common is found.
multiples of:
8 = 8, 16, 24, 32, 40
5 = 5, 10, 15, 20, 25, 30, 35, 40
from this we can distinguish that the LCM is 40.
Next we need to multiply each numerator of the fraction by the number of times it took for the denominator to reach the LCM.
It took 8 five multiples to reach the LCM so therefore its new numerator will be 3×5 = 15
[tex] \frac{5}{8} to \: give \frac{15}{40} [/tex]
It took 5 eight multiples to reach the LCM so therefore its new numerator will be 2×8 = 16
[tex] \frac{2}{5} to \: give \: \frac{16}{40} [/tex]
finally we can add but values together and subract from the whole to find the remainder.
[tex] \frac{15}{40} + \frac{16}{40} = \frac{31}{40} [/tex]
in total she read 31/40 of the book.
[tex] \frac{40}{40} - \frac{31}{40} = \frac{9}{40} [/tex]
and the remainder which she did not read was 9/40
What is the exponential form of the logarithmic equation? 5=log0. 90. 59049 enter your answer in the box.
For given logarithmic equation. 5 = log_0.9(0.59049), the exponential form is (0.9)^5 = 0.59049
We know that the definition of a logarithm to convert from the logarithmic form to the exponential form,
log_b(x) = a
⇒ b^a = x
Here, we need to write the exponential form of the logarithmic equation.
5 = log_0.9(0.59049)
Using the definition of a logarithm,
5 = log_0.9(0.59049)
⇒ (0.9)^5 = 0.59049
Therefore, the exponential form is (0.9)^5 = 0.59049
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If anyone can help me, Please Help!
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD. (5 points)
The formula for the final cost, in terms of the original price y, is:
c(y) = y*(0.88)*(1.03)
How to find an expression for the final cost of the DVD?
Let's define y as the original price of the DVD.
We first apply a discount of the 12% of the price, so the new cost will be:
c(y) = y*(1 - 12%/100%)
c(y) = y*(1 - 0.12)
Then we apply a tax of the 3%, this in increase, then we can write this as:
c(y) = y*(1 - 0.12)*(1 + 3%/100%)
c(y) = y*(1 - 0.12)*(1 + 0.03)
c(y) = y*(0.88)*(1.03)
That is the formula that we could use to determine the final cost.
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Each statement is always true. Select all statements for which the converse is also always true.
Statement: If 2 angles form a straight angle, then they are supplementary. Converse: If 2 angles are supplementary, then they form a straight angle.
Statement: In an isosceles triangle, the base angles are congruent. Converse: If the base angles of a triangle are congruent, then the triangle is isosceles.
Statement: If a point is equidistant from the 2 endpoints of a segment, then it lies on the perpendicular bisector of the segment. Converse: If a point lies on the perpendicular bisector of a segment, then it is equidistant from the 2 endpoints of the segment.
Statement: If 2 angles are vertical, then they are congruent. Converse: If 2 angles are congruent, then they are vertical.
Statement: If 2 lines are perpendicular, then they intersect to form 4 right angles. Converse: If 2 lines intersect to form 4 right angles, then they are perpendicular.
The statements for which the converse statements are always true are given as follows:
Statement: In an isosceles triangle, the base angles are congruent. Converse: If the base angles of a triangle are congruent, then the triangle is isosceles.Statement: If a point is equidistant from the 2 endpoints of a segment, then it lies on the perpendicular bisector of the segment. Converse: If a point lies on the perpendicular bisector of a segment, then it is equidistant from the 2 endpoints of the segment.What are the true converse statements?For statement 1, the converse statement is:
If 2 angles are supplementary, then they form a straight angle.
Supplementary angles are angles whose measures add to 180º, and straight angles are angles with measure of 90º. The converse is false, as 100º and 80º, for example, are supplementary angles, but do not form a straight angle.
For statement 2, the converse statement is:
If the base angles of a triangle are congruent, then the triangle is isosceles.
This is true, because an equilateral triangle, in which all the angles of the triangle are congruent, is a special case of a isosceles triangle.
For statement 3, the converse statement is:
If a point lies on the perpendicular bisector of a segment, then it is equidistant from the 2 endpoints of the segment.
Which is true by the perpendicular bisector theorem.
For statement 4, the converse statement is:
If 2 angles are congruent, then they are vertical.
Which is false, as this is not necessarily true.
For statement 5, the converse statement is:
If 2 lines intersect to form 4 right angles, then they are perpendicular.
Which is false, as this is not necessarily true.
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PLEASEEEEEEEEEW HELPPPPPPPPPPPPPP PLEASEEEEEEEEEEEE I NEED THE ANSWERS RIGHT NOW SOMEONE PLEASEEE
using the expression x+3 write one equation that has one solution, one equation that has no solution, and one equation that has infinitely many solutions.
One solution:
y = 3x+2
y=2x+4
No solution:
y=3x+2
y=3x+1
Infinitely:
y=2x+4
y=4x+8
Answer:
One solution: x + 3 = 2x
No solution: x + 3 = x
Infinitely many solutions: x + 3 = 2 ( 0.5x + 1.5 )
Step-by-step explanation:
1 ) x + 3 = 2x
x = 3
2 ) x + 3 = x
No Solution...
3 ) x + 3 = 2 ( 0.5x + 1.5 )
[tex]x[/tex] ∈ [tex]R[/tex]
Hope this helps! :)
y=-4(x+5)^2-3 in standard form
Answer:
y = -4x^2 - 40x - 103
Step-by-step explanation:
to get the standard form, you have to formulate the equation as
y = ax^2 + bx + c
we have to expand the (x+5)^2
y = -4((x+5)^2) - 3 = -4(x^2 + 10x + 25) - 3 = -4x^2 - 40x - 100 - 3 = -4x^2 - 40x - 103
PLEASE HELP ME WITH THIS ASAP
Answer:
1
Step-by-step explanation:
anything to the power of 0 is 1
Answer:
1
Step-by-step explanation:
