Using the z-distribution, it is found that the 99% confidence interval to estimate Q is (74.4, 96.6). The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The other parameters of the interval are given as follows:
[tex]\overline{x} = 85.5, \sigma = 19.3, n = 20[/tex].
Hence the bounds of the interval are given as follows:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.5 - 2.575\frac{19.3}{\sqrt{20}} = 74.4[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.5 + 2.575\frac{19.3}{\sqrt{20}} = 96.6[/tex]
The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.
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A parallelogram has an area of 150 square yards and a height of 5 yards. What is the length of the base of the parallelogram? Enter your answer in the box. WILL MARK BRAINLIEST!!! 95 points!
help me please!!!!!!!!!!!!!
Answer:
0.973
Step-by-step explanation:
Solution
I'm going to discuss one way to do it, and then show a much better way.
If you attack the problem directly, there are 3 ways of placing just 1 day not being late
0.7 * 0.3 * 0.3 = .063
0.3 * 0.7 * 0.3 = .063
0.3 * 0.3 * 0.7 = 0.63
Making it on on time on two days gives you 3 equations as well
0.7* 0.7 * 0.3 = .147
0.7* 0.3 * 0.7 = .147
0.3 * 0.7 * 0.7 = .147
Making it on time all three days
0.7 * 0.7 * 0.7 = .343
If you add add these up, you should get 0.973
There is a better way. First calculate what happens if he is late all three days.
0.3 * 0.3 * 0.3 = 0.027 No on times (.7) anywhere.
If you take 0.027 away from 1, you get 0.973 That takes care of all the times he was on time. Much neater and easier, no?
Find the length of the third side. If necessary, round to the nearest tenth.
The length of the third side is [tex]≈15.7[/tex]
Step-by-step explanation:Note:
Phitagors theorem:
[tex]c^{2}=a^{2}+b^{2}[/tex]
[tex]c: hypotenuse[/tex]
[tex]a: altitude[/tex]
[tex]b: base[/tex]
1) Using Phitagors theorem
[tex]c^{2}=a^{2}+b^{2}[/tex]
[tex]c^{2}=14^{2}+7^{2}[/tex]
2) Calculate
[tex]c^{2}=245[/tex]
3) Take the square root of both sides of the equation
[tex]\sqrt {c^{2}}=\sqrt{245}[/tex]
[tex]c=\sqrt{245}[/tex]
[tex]c≈15.7[/tex]
Sarah received \$55dollar sign, 5 for her birthday. She used some of that money to buy 3 shirts priced at m dollars each.
The amount of money Sarah have left written as an expression is 55 - 3m
How to write equation?Amount Sarah received for her birthday = $55Number of shirts bought = 3Cost of each shirt = $mThe amount of money Sarah have left = Amount Sarah received for her birthday - (Number of shirts bought × Cost of each shirt)
= 55 - (3 × m)
= 55 - 3m
The complete question:
Sarah received $55 dollar sign,for her birthday. She used some of that money to buy 3 shirts priced at m dollars each. How much money does Sarah have left? Write your answer as an expression.
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help me please this is due tomorrow
well I can say all but a and g are nets according to that explenation
Help with this question please my last question
Answer:
∠A≅∠Z AB≅ZX
∠B≅∠X AC≅ZY
∠C≅∠Y BC≅XY
ΔCBA≅ΔYXZ
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
Let me know if you ever need help !
[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]
Direction:Write TRUE if the statement is true and FALSE if not.
1.Non standard units cannot be used to measure volume.
2.To find the volume of rectangular prism multiply the length width and height.
3.When the non-standard unit used in small,more units are needed to fill a container.When the non-standard unit used is bigger.Few units are needed to fill the container.
correct answer=brainles
nice answer=rate 5 star
explanation=heart
incorrect=report
no explanation=report
Answer:
FALSETRUETRUEStep-by-step explanation:
1.
Non-standard units can be used to measure volumeExamples : m³, in³, cm³, mm³, L2.
The volume of a rectangular prism can be found by multiplying the length, width, and heightV = lwh3.
If there are smaller units, then naturally more of the units will be usedIf there are larger units, then less of the units will be usedI need help on this question
Step-by-step explanation:
FIFO means "first in - first out". so, it is airways the oldest in the inventory that is sold. that means the newest or youngest items in the inventory remain.
the end inventory shows 70 units.
that means, all the November units (64) plus 6 of June are still there.
a.
the cost of the ending inventory is
576 + 6×8 = 576 + 48 = $624
b.
the cost of goods sold is then
1727 - 624 = $1,103
control :
196 + 483 + (59-6)×8 = 679 + 53×8 = 679 + 424 =
= $1,103
correct.
Find the value of X
A. 32
3. 48
C. 92
D. 64
Jake joins a soccer club. There is a registration fee of $35 dollars, and a charge of $60 a month. If m is the number of months that Jake plays in the club and c is the total amount he pays, write an equation to represent the relationship between c and m?
whats the answer??
Answer:
c=60m+35
Step-by-step explanation:
c is the cost so it should be equal to and 60 a month so 60m and +35
which of the following rational functions is graphed below?
The graph represents the function (D) because the graph of the function is not defined at x = 1 and x = 2 option (D) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function:
If we take the function:
[tex]\rm f(x) = \dfrac{1}{\left(x-1\right)\left(x-2\right)}[/tex]
At x = 1 and x = 2 the function will be not defined, so this region would be hollow and as we can see in the graph of a function.
The function is not defined at x = 1 and x = 2.
Thus, the graph represents the function (D) because the graph of the function is not defined at x = 1 and x = 2.
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options 1: mean, median
options 2: 2 inches, 2.5 inches, 3 inches, 3.2 inches
Answer:
either the median is 2 inches or the mean is 3.2 inches, but i think it is median since the question asks for the center
Step-by-step explanation:
A company offers its employees free recreational activities and gym memberships. of the 200 employees, 95 employees registered for recreational activities, 80 employees registered for gym memberships, and 30 employees did not register at all. if an employee is chosen at random, what is the probability that the employee has registered for both recreational activities and gym memberships?
a.) 39/40
b.) 3/20
c.) 17/20
d.) 1/40
From the calculation, we can see that, the probability that an employee has registered for both recreational activities and gym memberships is 1/40.
What is probability?The term probability refers to the chance that an event will occur or not. The probability of an event always lies between zero and 1.
Given that;
Number that registered for recreational activities = 95
Number that registered for gym membership = 80
Number that did not register at all = 30
Total number of gym employees =200
Hence; 95 + 80 +30 =205
Number that registered for both recreational activities and gym membership
= 205 - 200 =5
The probability that an employee has registered for both recreational activities and gym memberships is; 5/200 = 1/40
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PLEASE HELP CANT MOVE ON TO THE NEXT QUESTION TILL ANSWERED!!
Answer:
Step-by-step explanation:
Answer:
M = 61
nm = 31
kn = 45
L = 119
Step-by-step explanation:
its a parallelogram so everything is obvious
-(6)³;(-6)³
what is the answer to this?
Answer:
Step-by-step explanation:
-(6)³=-6×6×6=-216
(-6)³=(-6)×(-6)×(-6)=-216
The area of a square is 180 square inches. the measure of one side of the square lies between which of these two consecutive integers?
between 11 and 12
o
between 12 and 13
o
between 13 and 14
o
between 14 and 15
The measure of one side of the square lies between 13 and 14.
What is the measure of one side?
A square is a quadrilateral with four equal sides that has four angles that are equal and two diagonals that bisect each other at 90 degree.
Area of a square = length of a side²
length of a side = √ area
√180 = 13.42
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Kallen was invited to a birthday party for his best friend. He wanted to buy a gift that was $33.50 and wrapping paper that was $2.94. If he earns $5.75 for each lawn he mows, how many lawns will he need to complete to buy the gift and wrapping?
Question 1
Which is the largest value?
Answer:
the third option 6 squareroot of 5 would be the largest value
Step-by-step explanation:
3 squareroot of 7 is also 63 squareroot
5 squareroot of 3 is also 75 squareroot
6 squareroot of 5 is also 180 squareroot
2 squareroot of 8 is also 32 squareroot
what is 52.56 rounded to nearest hundred
Answer:
100
Step-by-step explanation:
When you round to the nearest hundred you are rounding from three places before the decimal (000.). Anything from 0-49.99 will be rounded down while anything from 50-99.99 will be rounded up.
i dont know how to do this one
Answer:
[tex]2\sqrt{34}[/tex]
Step-by-step explanation:
We can add a line to create a triangle and a rectangle. The triangle will have side lengths 10 and 6. Furthermore, it will be a right triangle, meaning we can apply the Pythagorean Theorem to find x, the hypotenuse.
[tex]6^2 + 10^2 = x^2\\x = \sqrt{6^2 + 10^2}\\ = \sqrt{136} \\= 2\sqrt34}[/tex]
hope this helped! :)
Abox of chocolate candy contains 4 butter-cream-filled, 3 raspberry-
filled, 2 peanut butter-filled, 5 caramel-filled, and 6 nut-filled chocolates.
If Monica randomly selects a piece of candy, what is the probability that
she will pick a butter-cream-filled chocolate ?
A 0.10
B. 0.15
C. 0.20
D. 0.25
Answer:
0.20? sorry if im wrong
Step-by-step explanation: 4+3+2+5
How many degrees does a minute hand move in 45 minutes?
Answer:
270°
Step-by-step explanation:
Complete angular measurement of clock = 360°No. of minutes in one hour = 60 Angle moved in one minute = 360°/60 = 6°Angle moved in 45 minutes = 45*6° = 270°PLease help, 100 points being given
Answer:
None of these
Step-by-step explanation:
[tex]\frac{x^{2}}{2} +\frac{y^{2}}{3} =\frac{4sin^{2}t}{2} +\frac{9sin^{2}t}{3} =5\times sin^{2}t[/tex]
[tex]x^{2}+y^{2}=13\sin^{2} t[/tex]
[tex]3x^{2}+2y^{2}=30\sin^{2} t[/tex]
goddesboi
this one!
what’s the answer?
thanks ^^
Answer:
C) 20.97 AED
Step-by-step explanation:
To find the expected value, E(X), or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as [tex]\displaystyle E(X)=\mu=\sum xP(x)[/tex].
Here, x represents values of the random variable X, [tex]P(x)[/tex] represents the corresponding probability, and symbol [tex]\displaystyle \sum[/tex] represents the sum of all products [tex]xP(x)[/tex]. Here we use the symbol [tex]\mu[/tex] for the mean because it is a parameter. It represents the mean of a population.
In this case, the expected value of the ticket is [tex]\displaystyle E(X)=\mu=\sum xP(x)=12(0.08)+18(0.15)+20(0.31)+22(0.08)+24(0.15)+25(0.23)=20.97[/tex]
This means that Ahmad can expect to win 20.97 AED for the ticket.
define angle of elevation?
The angle of elevation is the angle of which something, in simple terms, is raised from a straight plane. If it is the angle downwards, we call this the angle of depression.
An image giving an example, or a visual description, is attached.
It comes from Khan Academy.
What is x, the height of the tree?
Answer:
21 feet
Step-by-step explanation:
It increases by a rate of 2.33333333,we know this by doing 14 divided by 6. 9 x 2.33333333 is 21
(although this might be incorrect)
Answer:
21 feet
Step-by-step explanation:
Ratio between height and distance from point on ground :
9 ft / 6 ft1.5Taking ratio between x and 14 :
1.5 = x/14x = 14 × 1.5x = 21 feet9+n=-2
how do i find the unknown exponent n?
In which of the expressions below will x = 25? Sele
***
Ill that
apply.
X + 6
A)
= 10
3
B) x – 8 = 32
C) 6x – (15 + 4x) = 35
3.3
D
= 15
5
E) 4(x – 18) = 12
ОА
ОВ
OC
D D
СЕ
Answer:
C
Step-by-step explanation:
6X - (15 + 4X) = 35
6(25) - (15 + 4(25)) = 35
150 - (15 + 100) = 35
150 - (115) = 35
35 = 35 (True)
can someone help me here
NONSENSE=REPORT
topic: Inscribed Quadrilateral theorem in a Circle
Answer:
Step-by-step explanation:
Remark
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary. x is opposite 112 degrees. Therefore x and 112 add up to 180 degrees.
Formula
x + 112 = 180 Subtract 112 from both sides.
Solution
x + 112-112 = 180 - 112
x = 68
Answer
x = 68
Answer:
Step-by-step explanation:
#9.
x° = 200° and x = 200
y° = 100° and y = 100
#10.
x° = 68° , x = 68
y° = 99° , y = 99
Someone help, will give brainliest.
The correct answer is option C which is nine more than two-fifths of the number is nine.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, expansion and division.
The given expression is:-
( 2 / 5) x + 9 = 9
The expression can be written in the words nine more than two-fifths of the number is nine.
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