Answer:
9 + x^2 +25
Step-by-step explanation:
3^2= 9
X^2=x^2
5^2= 25
if you flipped a coin 20 times, in percentage how many times do you expect the coin to land on heads, an how many times on tails?
Answer:
50% head and 50% tails.
Step-by-step explanation:
A coin only has two sides to flip on and is equally probably flip heads or tails. If you flipped the coin 20 times you could expect to flip 10 heads and 10 tails.
Which of the following is TRUE?
A. 8<-7
B -1 > 1
C. 6> 3
D. 4 <-2
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Answer:
C. 6 > 3
Step-by-step explanation:
It is true that 6 is greater than 3.
__
All negative numbers are less than any positive numbers.
We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.
The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class.
What is the standard deviation of the distribution?
A) 1.16
B) 1.08
C) 1.41
D) 2.98
The standard deviation of the distribution is 1.08.
Option B is the correct answer.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.
The expected value of X is:
E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)
= 1.6 + 0.96 + 0.34 + 0.08 + 0
= 2.98
Next, we need to calculate the variance of X:
Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)
+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)
= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)
= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212
= 1.082
The standard deviation of X is the square root of the variance:
So,
SD(X) = √(Var(X))
= √(1.082)
= 1.04 (approximately)
Thus,
The standard deviation of the distribution is 1.08.
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Please help and show work
Answer:
sqrt( 3V /(pi h)) =r
Step-by-step explanation:
V = 1/3 pi r^2 h
Multiply each side by 3
3*V = 3*1/3 pi r^2 h
3V = pi r^2 h
Divide each side by pi h
3V / (pi h) = pi r^2 h / ( pi h)
3V /(pi h) = r^2
Take the square root of each side
sqrt( 3V /(pi h)) = sqrt(r^2)
sqrt( 3V /(pi h)) =r
what is the sum of the first 10 terms of the geometric sequence 1 , -2, 4, -8, 16, 32...
Answer:
S10= -341
Step-by-step explanation:
1,-2,4,-8,16,.......
Sum of first 10 terms of geometric sequence
Sn=a(r^n-1)/r-1
where, a= first term
n= number of terms
r=common ratio
common ratio (r)= second term/first term
r=-2/1
r=-2
a=first term
a=1
n= number of terms
n=10
S10=1[(-2)^10-1]/-2-1
S10=(1024-1)/-3
S10=1023/-3
S10= -341
therefore, the sum of the first 10 terms is -342
sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers
Answer:
Suppose the one number be x
And the other number be 6x
The sum of two numbers is 5
x+6x=5
7x=5
X=5/7
Therefore
One number be 5/7
And other number be 6 * 5/7=30/7
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU...............
Three people split the cost of the last two lunch bills. The two bills were $18 and $15. How much did each person contribute?
Group of answer choices
$11
$15
$18
$33
What is the perimeter of this
polygon?
А 3 cm
9 cm
С
B 3 cm
Answer:
30cm
Step-by-step explanation:
3+3+3+3+9+9=30
If the tangent is drawn from the outside of the circle. Then the length of the tangents will be same. Then the perimeter is 30 cm.
What is the perimeter of a triangle?Let the triangle be ABC. Then the perimeter of the triangle will be
Perimeter = AB + BC + CA
We know that if the tangent is drawn from the outside of the circle. Then the length of the tangents will be same.
Then the completed diagram is given below.
P = 3 + 3 + 3 + 3 + 9 + 9
P = 30 cm
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What is the missing number in the synthetic division problem below?
A. 9
B. 8
C. -7
D. 2
Please please help!!!!
Answer:
65/8
Step-by-step explanation:
Answer:
[tex]8 \frac{1}{8} [/tex]Step-by-step explanation:
[tex]5 \times 1 \frac{5}{8} [/tex]
[tex] = 5 \times \frac{13}{8} [/tex]
[tex] = \frac{65}{8} [/tex]
[tex] = 8 \frac{1}{8} (ans)[/tex]
Factorise: x^2/y^2+1+y^2/X^2
Answer:
[tex]( \frac{x}{y} + \frac{y}{x} + 1)( \frac{x}{y} + \frac{y}{x} - 1)[/tex]Step-by-step explanation:
Hope it is helpful.....
what is 2 divided by 9/10
Answer:
20/9
Step-by-step explanation:
2/(9/10)=(2/1)(10/9)=20/9
Solve for x
A. 82
B. 98
C. 196
D. 164
Answer:
i think thAt it is c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
1. it is a linear equation 98 plus something is going to equal 180 so you would put subtract 98 from 180 to get 82
2. since the other angle is inscribed you would double you answer to get 164
Find the lengths of each segment
Answer:
KL = 5.3
Step-by-step explanation:
Base on proportionality theorem, we have the following equation showing the relationship between the segments:
4/6 = KL/8
Cross multiply
6*KL = 8*4
6*KL = 32
DIvide both sides by 6
KL = 32/6
KL ≈ 5.3
Please help! I really need this other wise I’m going to fail! I can’t figure it out!
if f(x)=4/3x-9 what is f^-1(-3)
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Answer:
4.5
Step-by-step explanation:
The value of x that makes f(x) = -3 is ...
4/3x -9 = -3
4/3x = 6 . . . . . . add 9
x = 6(3/4) = 18/4 = 9/2 = 4.5 . . . . multiply by 3/4
f^-1(-3) = 4.5
Does this graph below represent a function? (Yes or no)
Answer:yes
Step-by-step explanation: it represents a function
Which of the following represents the factorization of the polynomial below?
2x2 + 13x+15
A. (2x+15)(x+1)
O B. (2x+3)(x + 2)
O C. (2x + 5)(x+3)
D. (2x+3)(x + 5)
HELP !!! ASAP
Answer:
D. (2x+3) (x+5)
Step-by-step explanation:
there are many ways to factor the polynomial
It takes 3 pieces of wood to make a bird house. Marina has 21 pleces of wood. She uses this problem to find out how many bird houses she can
make.
21 +3
Which other problem could Marina use to find the number of bird houses she can make
She can find out answer by dividing 21÷3 and the answer is 7
She can make 7 bird house
7 is the answer of the question
21÷ 3
=7
Step-by-step explanation:
hope it is helpful to you
A six-sided die is rolled two times. What is the theoretical fractional probability that the first number is even and the second number is odd?
Answer:
The theoretical probability that the first number is even and the second number is odd is [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
Since each dice has six sides, and there are two die, the total amount of different outcomes are [tex]6^2[/tex] or 36. The probability of getting an even number on the first roll is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], and the probability of getting an odd number on the second roll is also [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], so the probability of getting an even number on the first roll and an odd number on the second roll is [tex]\frac{1}{2} * \frac{1}{2} = \frac{1}{4}[/tex].
the table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years till the trees were planted,
what is the rate of change of the average height and feet of the trees on the farm with respect to the number of years since the trees were planted?
Step-by-step explanation:
the equation :
Hn = 7n + 3
where :
Hn : the height of trees at year to-n
n : year to-n (n = 1,2,3,...)
so, the rate of change : increasing 7 feet per year.
The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope could be positive or negative.
The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.
The rate of change also refers to the slope.
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁).
Taking two points (1,10) and (3,24)
Slope associated with these;
(24-10)/(3-1) = 7
Hence "The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7".
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I roll a standard six-sided die 6 times in a row. What is the probability that the numbers
alternate between odd and even?
Help ASAP
Answer:
1 / 64
Step-by-step explanation:
The probability of a multi-stage events that are independent is the product of all of them. Probability is basically the desirable outcomes over the total outcomes. When rolling a die, there are 6 different numbers you can roll, meaning six different outcomes. There are 3 outcomes where you can roll an even number: 2, 4, and 6. And it's the same with odd numbers: 1, 3, and 5. So the probability of rolling an even number is 3 / 6 or 1 / 2 and the probability of an odd number is the same, 1 / 2. Now, since the probabilities are the same at each stage, we can multiply 1 / 2 to itself 6 times or (1/2)^6 which evaluates to 1 / 64.
a boy is 20 years old at present. How old was he 3 years ago?
Answer: seven-teen
Step-by-step explanation:twenty minus three
The age of the boy three years ago is A = 17 years
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The present age of the boy = 20 years
Three years ago, the boy's age would have been:
20 - 3 = 17
Hence , the boy was 17 years old three years ago.
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Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What is the greatest number of cups of yogurt Monica can buy?
Use the inequality 1.20x + 2.5 ≤ 20 to solve the problem.
Monica can buy _____ cups of yogurt.
(Algebra 2) help me please:( no links I will report please help me out )!!!
Answer:
The answer should be $57000(1.025)²⁰ = $93,401
Step-by-step explanation:
PLEASE HELP ASAP NO LINKS OR WILL BE REPORTED! 1. In the figure below, a line intersects two parallel lines. Fill in the missing angles. a /b d e 42° C f f g (a)
Answer:
<a=138°
<b=42°
<c=138°
<d=138°
<e=42°
<f=42°
Step-by-step explanation:
<a is supplementary with the 42° angle:
<a=180°-42°=138°
<b and the 42° are vertical angles, so:
<b=42°
<c and <a are also vertical angles so:
<c=<a=138°
<d and <a are corresponding angles, so:
<d=<a=138°
<e and <b are corresponding angles, so:
<e=<b=42°
<f and the 42° angle are corresponding angles, so:
<f=42°
<g and <c are corresponding angles, so:
<g=<c=138°
Calculate the area of triangle .
Answer:
20 units
Step-by-step explanation:
The formula for the area:
A = bh × 1/2
B = 8 units
H = 5 units
8 × 5 = 40
40 × 1/2 = 20
Evaluate the following algebraic expression when x = 3 2x2+ 5x - 10
Answer:
x3−2x2−5x+10=(x2−5)(x−2)
Step-by-step explanation:
i hope i helped u
find the area of the figure. just give the answer plz
Answer:
58.5 feet you're welcome
help geometry please
Answer:
12
It would be easier to explain if the triangle and the parallelogram have their points named.
Some first hints: The area of a tri
angle equals to 1/2 of height times length of corresponding base side. The area of a parallelogram equals to height times the corresponding base side. in addition, in a parallelogram, two opposing side have the exact same length.
Since then, we can write the area of the triangle as 1/2× h× 18= 9×h
we can write the area of the parallelogram as : 18×h
Since then, we can write the area of the compound as 9×h + 18×h= 27h.
Voila. I gues you can figure out the rest. Please ask more if you have trouble with this
Answer: 12
Step-by-step explanation: