X is normally distributed random variable with mean 63 and standard deviation 6, the probability that X lies between 45 and 81 is
Answer:
P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Step-by-step explanation:
Mean = 63
Standard Deviation =6
We need to find probability that X lies between 45 and 81 i.e P(45<X<81)
First we will find z-score for X=45 and X=81
For X=45 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{45-63}{6}\\z-score=-3[/tex]
For X=45, z-score is -3
For X=81 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{81-63}{6}\\z-score=3[/tex]
For X=81, z-score is 3
Now finding the probability of P(-3<z<3)
It can be solved as:
P(-3<z<3)=P(z<3)-P(z<-3)
Looking at the z-score table to find
P(z<3)= 0.9987
P(z<-3)=0.0013
So, P(-3<z<3)=P(z<3)-P(z<-3)
P(-3<z<3)=0.9987 - 0.0013
P(-3<z<3)=0.9974
or P(-3<z<3)= 99.74%
So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Which Inequality is equivalent to the given inequality?
-4(x + 7) <3(1 - 2)
OA. -73 < 22
OB. -77 > -34
OC. -71 < -34
OD. -70 > 22
Answer:
[tex]-7x < 22[/tex]
Step-by-step explanation:
Given
[tex]-4(x + 7) <3(x - 2)[/tex]
Required
Determine its equivalent
[tex]-4(x + 7) <3(x - 2)[/tex]
Start opening the brackets:
[tex]-4x - 28 < 3x - 6[/tex]
Collect Like Terms
[tex]-4x - 3x < 28 - 6[/tex]
Add and subtract like terms
[tex]-7x < 22[/tex]
What’s the answer for this?
Answer: That is the answers.
Step-by-step explanation:
PLEASE HELP
Which of the following sets of ordered pairs represents a function?
A.
{ (0, -6), (11, -6), (0, -6), (-6, 11) }
B.
{ (-6, 6), (-6, 9), (-6, 0), (9, -6) }
C.
{ (6, 11), (6, 1), (0, 0), (8, 13) }
D.
{ (6, -6), (9, -6), (0, -6), (-6, 9) }
Answer:
it's D
hdhdndndnndhd
fhhdhdhdndndhfhsjajsg
The perimeter of a rectangle is to be no greater than 100 centimeters and the length must be 35 centimeters. Find the maximum width of the rectangle.
The rest of the problem that is needed to be solved is in the image.
Answer:
x= 32.5+32.5+35=100 just subtract 35 from 100 witch gives you 65 dived that by 2 witch gives you 32.5
What is the surface area of this cylinder?
Use a ~ 3.14 and round your answer to the nearest hundredth.
10 cm The radius
9 cm. The height
square centimeters
Please help I need it plz I will give u the brainlyes
Answer:
1,193.805 cm^2
Step-by-step explanation:
formula for surface area of a cylinder: 2(pi)(r)(h)+2(pi)(r^2)
Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5
years? Round your answer to two decimal places.
Answer:
$4282.20
Step-by-step explanation:
$3294*0.26=856.44
856*5=4282.20
if 1.24×0.94 correct to 2 significant
Answer:yes
Step-by-step explanation:yes
f(x)=5x-3; g(x)=2x^2-5 find (g o f)(-2)
Please help its very important to me ( dont guess or steal) ( give proof of answer for brainiest)
Answer:
I say A if you need anymore help just tell me!!!
help plssssss 10 if corret
By using algebra properties for rational numbers, the expression - (3 / 8) · [(3 / 5) · (- 5 / 6)] is equivalent to the fraction 9 / 16.
How to simplify a product of fractionsHerein we find a product of three fractions which has to be simplified into a single fraction by using algebra properties for rational numbers. The complete procedure is shown below:
- (3 / 8) · [(3 / 5) · (- 5 / 6)] Given
[(- 3 / 8) · (- 5 / 6)] · (3 / 5) Associative and commutative properties
[(3 / 8) · (5 / 6)] · (3 / 5) (- a) · (- b) = a · b
(15 / 16) · (3 / 5) Multiplication of fractions
45 / 80 Multiplication of fractions
9 / 16 Simplification of a fraction / Result
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V= 1/3(3.14)r^2, what would r be?
The value of 'r' in terms of 'V' is calculated as 0.99√V.
What is meant by square root?The square root of a number is a value that, when multiplied by itself, yields the original number. The square root is the opposite of squaring a number.
"√" is the standard symbol for the square root. It's known as a radical symbol. The said symbol can be used to represent the square root of a number 'x'.where x is a positive integer.The number beneath the radical symbol is known as the radicand. For instance, the square root of 6 is also known as the radical of 6. Both have the same value.Now, the given expression in the question is;
V= 1/3(3.14)r²
This can be written in the term of V as;
r² = (V×3)/3.14
Taking square root on the both sides;
r = √[(V×3)/3.14]
r = 0.99√V
Thus, the value of the r is obtained as 0.99√V.
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This question is designed to be answered without a calculator.
Use this graph of function f.
For how many values of x is f not differentiable over the interval (–4, 4)?
Answer:
4
Step-by-step explanation:
In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
here,
The function from observation seems to be a discontinuous function,
And the function is not differentiable at x = -1, 0, 1, and 3.
So there are 4 points in the interval (-4, 4) where the function is not differentiable.
Thus, In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
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The Gophers won 2/3 of their games. The Rattlers
won half of their games. Together, the teams
won 56 games. Both teams played the same
number of games. How many games did each
team win?
Answer:
48
Step-by-step explanation:
The silmutenous equations
2/3x + 1/2y = 56
X=y
2. Briana goes to the store and buys 12 items. If
each item is $3.25, what is her total bill without
tax?
Answer:
12*3.25=39
Step-by-step explanation:
u multiply 12 by 3.25 and then u get ure answer witch is 39!!
Solve the equation 3(x +4.5) = 36
If you get stuck use the hanger diagram to help yo
Х
4.5
Х
36
4.5
Х
4.5
Answer:
x=7.5
Step-by-step explanation:
Paula pays $19.92 for 2.4 pounds of walnuts. What is the price per pound of walnuts?
The price per pound of walnuts is $8.3
Cost of 2.4 pounds of walnuts = $19.92
Cost of 1 pound of walnuts = 19.92/2.4 = $8.3
In mathematics, a pound is a unit of measurement that represents an object's mass or the volume of substance it occupies. Pounds essentially tell us how heavy something is. For instance, a soccer ball weighs roughly one pound. Lb or lbs are used to denote pounds, where "lb" stands for libra.
A pound is a unit of weight that is equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg in avoirdupois, and to 12 ounces, 5,760 grains, or 0.37324171216 kg in troy and apothecaries' weight. The abbreviation lb comes from the Latin word libra, which was the origin of the contemporary pound.
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A student earned 50% on a 100 question quiz. How many questions did
the student answer correctly?*
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
it is 50 because he got 50%
Please help
I think i have the correct answers for 1 and 3 but I'm getting confused it 2.
Consider the standard form of an exponential function:
1. How does changing the base number (inside the parentheses) change your
graph? (10 points)
2. How does changing the number outside the parentheses change your
graph? (10 points)
3. Create three new exponential equations to represent Alison, Cindy, and
Javier. (30 points)
Alison loves social media and likes for her posts to be shared as much as
possible while Cindy and Javier prefer for their posts to stay amongst their
friends primarily
Answer:
It's a vertical stretch.
Step-by-step explanation:
Have no clue how to do this. Please help me. I will give a Brainly and extra questions.
Answer:
Step-by-step explanation:
Write the equation in slope intercept form (y=mx+b)
y = 3 + 4(x − 1)
Answer:
y=4x-1
Step-by-step explanation:
y=3+4(x-1) <------ distribute property
y=3+4x-4 <---- combine 3 and -4
y=4x-1
Answer: y=4x-1
Step-by-step explanation:
y=3+4(x-1) Given
y=3+4x-4 Distributive Property
y=4x-1 Combine Like Terms
Please answer this math question ( I NEED IT ASAP )
Answer:
hmmm yes as it seems you have caught a albert einstein question and tbh ion know what that is lol gl
Step-by-step explanation:
Determine if the inverses listed for each function are correct or not. Select Correct or Incorrect for each function and inverse.
Function and Inverse
Correct
Incorrect
Rx) = 3x
O
Rx) = 3x + 7
F(x) = x - 3
VX-6
x =
O
O
Answer:
Step-by-step explanation:
1). f(x) = 3x⁵
Step - 1
Convert the given function in the form of an equation.
y = 3x⁵
Step - 2
Interchange x by y.
Step - 3
Solve the equation for y
x = 3y⁵
y⁵ = [tex]\frac{x}{3}[/tex]
[tex]y=\sqrt[5]{\frac{x}{3}}[/tex]
Step - 4
Convert the equation into function.
[tex]f^{-1}(x)=\sqrt[5]{\frac{x}{3}}[/tex]
Correct.
2). f(x) = 3x + 7
Step - 1
y = 3x + 7
Step - 2
x = 3y + 7
Step - 3
3y = x - 7
y = [tex]\frac{1}{3}(x-7)[/tex]
Step - 4
[tex]f^{-1}(x)=\frac{1}{3}(x-7)[/tex]
Correct.
3). f(x) = 6 + 4x³
Step - 1
y = 4x³ + 6
Step - 2
x = 4y³ + 6
Step - 3
y = [tex]\sqrt[3]{\frac{1}{4}(x-6)}[/tex]
Step - 4
[tex]f^{-1}(x)=\sqrt[3]{\frac{1}{4}(x-6)}[/tex]
Incorrect.
Which of the following angles would not be congruent to the measure of ∠7? HELPPP!!!
Answer:
6, 2, & 3
Step-by-step explanation:
I hope that this answer helps, feel free to ask questions
what is the estimate of 29 x 688
Answer:
19952 :)
Step-by-step explanation:
Step-by-step explanation:
29 turns to 30
688 turns to 700
30×700=21000
Use the zero product property to find the solutions to the equation x^2-15x-100=0
Ox=-20 or x = 5
Ox=-20 or x =-5
Ox=-5 or x = 20
Ox= 5 or x=20
Answer:
C. x=-5 or x=20
Step-by-step explanation:
Factor [tex]x^{2}[/tex]-15x−100 using the AC method
(x-20)(x+5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0
x−20=0
x+5=0
Set x−20 equal to 0and solve for x
x=20
Set x+5 equal to 0 and solve for x
x=−5
The final solution is all the values that make (x−20)(x+5)=0 true. The multiplicity of a root is the number of times the root appears.
x=20(Multiplicity of 1)x=−5 (Multiplicity of 1)
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To use the zero product property to solve the equation:
x² - 15x - 100 = 0.
Factor the left-hand side of the equation:
(x - 20)(x + 5) = 0
Apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero:
x - 20 = 0 or x + 5 = 0
Solve for x in each equation:
x - 20 = 0
x = 20
x + 5 = 0
x = -5
Therefore,
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
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Looking at the means of these samples, which value is most likely to be the mean of the population from which the
samples were taken?
Answer:
Sample Number Sample Mean
1 11.8
2 12.5
3 15.1
4 14.3
5 13.0
6 12.9
7 10.2
8 11.5
9 12.9
10 15.4
Now the most likely mean of the population can be found by finding the mean of given sample means. It is given below:
Therefore, the most likely mean of the population from which the samples were taken is 12.96.
Answer:
12.9
Step-by-step explanation:
What is over 1/3÷1/4?
Answer:
4/3
Step-by-step explanation:
Answer:
this is the correct answer 4/3
Kameron who is 4.5 feet tall , is outside during recess
Answer: I'm not sure i understand. Are you asking a question or is this just a statement
Step-by-step explanation:
the diagram shows a wire attached to the top of a telephone pole. To the nearest foot, what is the height of the telephone pole?
Answer:
60 feet
Step-by-step explanation:
Answer:
58 feet
Step-by-step explanation:
80x80 - 55x55 = 58.09