Answer:
0% probability that the mean of the sample taken is less than 2.2 feet.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 2.5 feet and a standard deviation of 0.2 feet.
This means that [tex]\mu = 2.5, \sigma = 0.2[/tex]
Sample of 41
This means that [tex]n = 41, s = \frac{0.2}{\sqrt{41}}[/tex]
Find the probability that the mean of the sample taken is less than 2.2 feet.
This is the p-value of Z when X = 2.2 So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2.2 - 2.5}{\frac{0.2}{\sqrt{41}}}[/tex]
[tex]Z = -9.6[/tex]
[tex]Z = -9.6[/tex] has a p-value of 0.
0% probability that the mean of the sample taken is less than 2.2 feet.
Darla decides to buy books and magazines with her money. Books cost $16 each and magazines cost $8 each. Write a function that shows the function of the total money that she spends.
Answer:
m=16x+8y
Step-by-step explanation:
let the amount of money she spend be 'm'
m=16x+8y
Answer:
a=16x+8y
Step-by-step explanation:
Let the amt of money she spends be a.
hope it helps!!!
given f(x) = 2x³+3x²-12x+7 = (x-1)² (2x+7), differentiate to find f¹(x)
Step-by-step explanation:
We use the symbol f − 1 to denote an inverse function. For example, if f (x) and g (x) are inverses of each other, then we can symbolically represent this statement as:
g(x) = f − 1(x) or f(x) = g−1(x)
One thing to note about the inverse function is that the inverse of a function is not the same as its reciprocal, i.e., f – 1 (x) ≠ 1/ f(x). This article will discuss how to find the inverse of a function.
Since not all functions have an inverse, it is therefore important to check whether a function has an inverse before embarking on determining its inverse.
We check whether or not a function has an inverse in order to avoid wasting time trying to find something that does not exist.
Write equation could use to find number of centimeters in 1 inch.
Answer:
0.393701 cm = 1 in
Step-by-step explanation:
We want to find the number of centimeters in 1 inch.
First, the two conversion rates we need to use:
1m = 100 cm
1m = 39.3701 in
From these two equations, we can conclude that:
100cm = 1m = 39.3701 in
100cm = 39.3701 in
Because we want to find the total number of centimeters in 1 inch, we need to divide both sides by 39.3701
We will get:
(100cm)/39.3701 = (39.3701 in)/39.3701
0.393701 cm = 1 in
This equation gives us the number of centimeters in one inch.
Determine the solution for the following equation: [tex](8x-8)^{\frac{3}{2} }=64[/tex]
a - x=3
b - x=5
c - 13
d - 65
Answer:
[tex]\text{A. }x=3[/tex]
Step-by-step explanation:
Recall the exponent property [tex]a^{b^c}=a^{(b\cdot c)}[/tex]. Therefore, we can square both sides of the equation to get rid of the fraction in the exponent:
[tex]((8x-8)^{\frac{3}{2}})^2=64^2,\\(8x-8)^{\frac{3}{2}\cdot2}=64^2,\\(8x-8)^3=4096[/tex]
Take the cube root of both sides:
[tex]8x-8=16[/tex]
Add 8 to both sides:
[tex]8x=24[/tex]
Divide both sides by 8 to isolate [tex]x[/tex]:
[tex]x=\frac{24}{8}=\boxed{3}[/tex]
Is A PQR=ASTU? If so, name the congruence postulate that applies.
Given:
ZPZS
ZOEZI
PO = ST
P
S
7
A. Congruent - SSS
B. Congruent - SAS
C. Congruent - ASA
O
D. Might not be congruent
Answer:
C.
Step-by-step explanation:
ASA stands for angle-side-angle.
one side and the 2 angles at the end points of this side are known. only one triangle can be created with that information.
and that is our situation here.
the sides PQ and respectively ST are known (the fact that they are of equal length qualifies for that).
and the angles at the end points of PQ are known (again, the fact that they have the same size as the angles for ST qualifies for that too).
so, ASA applies to prove that both triangles are congruent.
As a manager of a company you are given 2 estimates for the annual firm’s profits: 1) Estimate A predicting that the mean profit would be between $1mil and $1.5 mil which is a 95% confidence interval; 2) Estimate B that the annual profits are between $1.2 mil and $1.4 mil, a 93% confidence interval. Which of the two estimates is more accurate and why?
Answer and Explanation:
A confidence interval determines the probability that a range of values(e.g-given a large data set )has the true parameter. Example, to find mean of height of 30+ men, our confidence interval will say that there is 96% confidence that the mean height of 30+ men is between 5ft and 6ft. While confidence intervals, narrow or broad with high or low significance levels may not be akin to accuracy, it will only help to determine the precision or otherwise of our estimate. For example, if confidence interval is narrow as in second option and confidence level is lower, it only narrows down our options to ascertain the true mean or parameter we are investigating and doesn't exactly affect accuracy since we are still not 100% confident our true mean lies in this interval.
solve the question
Answer:
40*40=1600
PLS MARK BRAINLIEST
What is the measure of AngleCAB?
Answer:
52
Step-by-step explanation:
answer is in photo above
Answer:
52
Step-by-step explanation:
step-by-step explanation is a c and b is 52
find the area of irregular figures
Answer:
I believe it is 90
Step-by-step explanation:
I'm not so sure but when finding the area of a shape you times all those lengths together.
Answer: There is NO answer because there is some missing information!
Step-by-step explanation:
please help me please help me please help me please help me please help me please help me please
Answer:
2025 is not a perfect cube
If a1 = 6 and an
-5an-1 + 4 then find the value of a4.
9514 1404 393
Answer:
a4 = -666
Step-by-step explanation:
Use the recursive definition repeatedly.
a1 = 6
a2 = -5(6) +4 = -26
a3 = -5(-26) +4 = 134
a4 = -5(134) +4 = -666
Số tiếp theo (next number?): 25 50 99 196 388
Answer:
The correct answer is - 768.
Step-by-step explanation:
The given question is based on a specific pattern present in between the numbers in the given series -
Series = 25 50 99 196 388
to find - next number in series
let us find the relation between the initial two number:
25 - 50, here number 50 is two times of 25 or (x*2-0)
relation between 2nd and 3rd number:
50 - 99, here 99 is two times of 50 minus 1 or (x*2-1)
relation between 3rd and 4th number:
99 - 196, here 196 is two times of 99 minus 2 or (x*2-2)
relation between 4th and 5th number:
196 - 388, here 388 is the two times of 196 minus 4 or (x*2-4)
So on this pattern, the next number would be = x*2-8
388*2-8
= 768
please helppppppppppppppp
Answer:
10 units
Step-by-step explanation:
Given that,
The area is modeled by the equation as follows :
[tex]A=-l^2-10l+300[/tex]
Where
l is the linear dimensions of the frame.
Put A = 100
So,
[tex]-l^2-10l+300=100\\\\-l^2-10l+200=0\\\\l=10,-20[/tex]
So, the linear dimension of the frame is equal to 10 units.
Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)
Answer:
The measures of the angles are 85 and 95 degrees each.
Step-by-step explanation:
Two angles are supplementary when they add up to 180 degrees.
Therefore, set up an equation and solve for the variable x in the first place.
(8x-3)+(7x+18)=180
8x-3+7x+18=180
8x+7x-3+18=180
15x-3+18=180
15x+15=180
15x=165
x=165/15
x=11
Angle 8x-3=8(11)-3=88-3=85.
Angle 7x+18=7(11)+18=77+18=95.
Answer:
85⁰ and 95⁰
Step-by-step explanation:
Supplementary angle add up to 180⁰
8x-3+7x+18=180
8x+7x-3+18=180
15x+15=180
15x=180-15
15x=165
15x/15=165/15
x=165/15
x=11⁰
measure of first angle=8(11⁰)-3
=88⁰-3
=85⁰
measure of second angle=7(11⁰)+18
=77⁰+18
=95⁰
B.
Classity the following polygons as to regular or irregular
polygon. Write your answer on your answer sheet
1
2
3
4
5
Answer:
If I'm correct I think 4 is the polygon
Which input value produces the same output value for the two functions
X=-12
X=-9
X=-6
X=-3
What is the left-hand limit of this function as x approaches 2? f(x)=x/x-2
9514 1404 393
Answer:
B. -∞
Step-by-step explanation:
There is a vertical asymptote at x=2. Left of that line, the denominator is negative. As x approaches 2 from the left, the function approaches negative infinity.
12 Kendrick wants to build a slide for his son in the backyard. He buys a
slide that is 8 feet long. The height of the stairs is 5 feet. Find the
distance from the bottom of the stairs to the base of the slide.
hi pls help me now i'll gibe you brainest,thank you
Answer:
64 cm^3
Step-by-step explanation:
answer for question no 5
length , breadth and height of the cube are always equal .So
here length = 4 cm
volume of a cube = l^3
=4^3
=64 m^2
Calculate the remaining values: de a y b
Step-by-step explanation:
of what ? there is nothing here to work with.
be a little bit more careful to at least understand the meaning of the problem, Ame what is given to you written with to solve the problem. because we here also need that information. we would need to read in a Crystal ball what your teacher wants from you, if you don't give us that information.
and I am good but not that good ...
Jenna is buying four new shirts at $20 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending?
20 times 4 = 80
20/4 = 80
4 times 20 = 80
20 + 20 + 20 + 20 =80
Answer:
20/4
Step-by-step explanation:
Because that would mean 20 divided by 4 which wouldn't accumulate to 80
I need help on this too please it’s hard
Answer:
Y=x
Step-by-step explanation:
The y and x values are the same
Answer:
y = x
Step-by-step explanation:
a 45° line with the origin passing through the origin has the equation y=x.
Have a nice day.
what is a bank statement
Answer:
A statement that shows current balance of an account and all transactions that occurred on that account since the last statement.
Transactions such as deposits, withdrawals, checks written, debt card uses...
There are other examples of bank statements for things like home loans, business loans, and investments.
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is
the solution set of this problem?
0 (-0, -21)
O (-0, -21]
o [-21, +00)
O (21, +00)
Answer:
5 × (x + 27) ≥ 6 × (x + 26).
Step-by-step explanation:
The solution set of " Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26" is (-∞, -21]
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
For this case, let the number in consideration be 'x', then according to the condition specified, we get:
The sum of a number and 27 = x+27Five times the sum of a number and 27 = [tex]5(x+27)[/tex]The sum of that number and 26 = x + 26Six times the sum of that number and 26 = [tex]6(x+26)[/tex]Also, we get:
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 as:
[tex]5(x+27) \geq 6(x+26)[/tex]
Expanding and taking x on one side:
[tex]5x+135 \geq 6x+156\\135-156 \geq x \\\\x \leq -21[/tex]
Thus, the considered statement is true for all the numbers which is smaller or equal to -21. Symbolically, the solution set is: (-∞, -21]
The square bracket shows that the -21 is included in the interval. And the interval (-∞, -21] is set of all real numbers smaller or equal to -21.
Thus, the solution set of " Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26" is (-∞, -21]
Learn more about inequalities here:
https://brainly.com/question/27425770
Which mathematical operation changes 2amd 1/3 to 2
the addition sign thus 2+1÷3=2
Arithmetic or geometric 18,13,8
Answer:
That is Arithmetic
Step-by-step explanation:
Arithmetic Sequence is described as a list of numbers, in which each new term differs from a preceding term by a constant quantity. Which is -5 in this case.
Hope this helps
PLEASEEEEE HELPPPPPPPP
Answer:
f(-5) = -195
Step-by-step explanation:
Given that,
[tex]f(x)=x^3-2x^2+3x-5[/tex] ....(1)
and
[tex]g(x)=x^2+x-1[/tex]
We need to find the value of f(-5).
Put x = -5 in equation (1).
[tex]f(-5)=(-5)^3-2(-5)^2+3(-5)-5\\\\=-195[/tex]
So, the value of f(-5) is equal to (-195).
-3x2 + 5x- 7 = 0 is not in general form.
True
False
The answer is true because it is not a general form
The following dot plot shows the number of chocolate chips in each cookie that Shawn has. Each dot represents a different cookie. Which of the following is a typical amount of chocolate chips in one of Shawn's cookies?
Choose 1 answer:
Please help me!!!!
Using the dot plot, it is found that a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.
What is a dot plot?The dot plot is a graph shows the number of times each measure appears in the data-set.
Researching this problem on the internet, the dot plot states that:
2 cookies have 2 chips.2 cookies have 3 chips.5 cookies have 4 chips.4 cookies have 5 ships.3 cookies have 6 ships.2 cookies have 7 chips.The mean is given by:
M = (2 x 2 + 2 x 3 + 5 x 4 + 4 x 5 + 3 x 6 + 2 x 7)/(2 + 2 + 5 + 4 + 3 + 2) = 4.56.
Hence, a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.
More can be learned about dot plots at https://brainly.com/question/24912483
Answer:
5 chocolate chips
Step-by-step explanation:
did on khan
khalil has a circular cake that he plans to share equally betweeb himself and 5 friends. if tge cake is 8 inched in a diameter, what will be the length of the arc of each slice of cake.
Answer:
4.2
Step-by-step explanation:
It would be 8/2 which gets 4 and put the .2 4.2
Length of the arc of each slice of cake is equals to 5.024inches.
What is length of the arc?
" Length of the arc is defined as the distance between any two points as a part of the circumference of the circle."
Formula used
Length of the arc = radius × central angle of the arc
l = r × θ
According to the question,
Number of friends = 5
Diameter of the cake = 8inches
Shape of the cake is circular.
Therefore angle formed = 360°
Angle for each piece of cake = [tex]\frac{360}{5}[/tex]
= 72°
Radius of the cake = [tex]\frac{diameter }{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 inches
Substitute the value in the formula to get the length of the arc we get,
L = 4 × 72 × [tex]\frac{\pi }{180}[/tex]
= 5.024inches
Hence, length of the arc of each slice of cake is equals to 5.024inches.
Learn more about length of the arc here
https://brainly.com/question/14675251
#SPJ2
