Using the z-distribution, as we have the population standard deviation, it is found that a sample of 96 people must be taken.
What is the margin of error for the z-distribution?It is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value.[tex]\sigma[/tex] is te population standard deviation.n is the sample size.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.
Additionally, we have that [tex]\sigma = 38, M = 10[/tex], hence we solve for n to find the minimum sample size needed.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 2.575\frac{38}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 38 \times 2.575[/tex]
[tex]\sqrt{n} = 3.8 \times 2.575[/tex]
[tex](\sqrt{n})^2 = (3.8 \times 2.575)^2[/tex]
n = 95.7
Rounding up, a sample of 96 people must be taken.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Find the error: 2(3x+4)=16
Answer:
6x+8=16
or,6x=16-8
or,6x=8
or,x=4 by 3
Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Jane trained for a total of 19 hours on Wednesday and 7 hours on Thursday. How does each plan last?
Answer:
they would be about an hour
Step-by-step explanation:
select the correct answer.which graph shows a line with a slope of 0?
Step-by-step explanation:
the first video man and share with you search the Internet resources to help you find the best service providers to get your free and
About 75% of the girls in grade 7 at Grande Rock Middle School prefer colored jeans to the regular blue ones. The randomly generated numbers in the table simulate this situation. The letter C represents colored jeans, and B represents blue jeans. CCCBC BBCCC CCBBC CCBBC CCCCC CCCCC BCCCC CBCCC CCCCB CCCCC BBCCC CCCBB CCCCC CBCCC BCCBC CCCBB BCCCC CCCCB CCCBC CCBCC Based on the data, the estimated probability that exactly four out of five girls prefer colored jeans is .
Answer:
To find this you do 5 x 0.75
0.75 represents the amount of girls that represent colored jeans
So the answer is 3.75
Step-by-step explanation:
Hope this helps!
Look at the cube, and the net of this cube. What is the surface area of this cube? Cube with one side labeled 16 feet. Net of the same cube also shown with one side labeled 16 feet.
Answer:
[tex]486[/tex] [tex]in^2[/tex]
Step-by-step explanation:
we know that
The surface area of the cube is equal to the area of its six square faces
so
[tex]SA=6b^2[/tex]
where
b is the length side of the cube
we have
[tex]b=9[/tex] [tex]in[/tex]
substitute
[tex]SA=6(9)^2=486 in^2[/tex]
Triangle ΔABC has side lengths of a = 18, b=[tex]18\sqrt{3}[/tex], and c = 36 inches.
Part A: Determine the measure of angle A.
Part B: Show how to use the unit circle to find tan A.
Part C: Calculate the area of ΔABC.
Answer:
Step-by-step explanation:
For 1.8 hours, Layla drove her car east at a constant velocity. In this time, she drove 99 kilo meters and passed a motorcycle that was driving at 45 kilo meters per hour. What was her car's velocity?
Write your answer as a whole number.
kilo meters per hour to the east
Answer:
55 km/hr
Step-by-step explanation:
speed = distance / time
distance = 99 km
time = 1.8 hours
velocity = 99 km/ 1.8 hours= 55 km/hr
since distance is to the east, the velocity is also to the east
Need to show work for my answer working on limits
Answer:
[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} = - \infty[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4}[/tex]
Step 2: Evaluate
[Limit] Simplify:Recall that infinity in the denominator converges to 0. Therefore, we can focus on the first part:
[tex]\displaystyle \begin{aligned}\lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} & = -4(\infty)^4 + \frac{1}{\infty} - \frac{1}{(\infty)^3} + \frac{7}{(\infty)^4} \\& = -4(\infty)^4 \\& = -4(\infty) \\& = \boxed{- \infty} \\\end{aligned}[/tex]
∴ we have found the limit to equal negative infinity.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Tabp rest with friends. How many sweets will she give to her friends? 18 13. A train arrives at the station with 150 passengers on board. 25 of the passengers get off the train in Spanish town, and then 35 passengers board the train. How many passengers are on the train when it leaves the station? * Yout Youyanswer 14.30 people watched the soccer game last night. Tickets cost $2.75 each. Half of these fans bought a program at $1.50 each. How much money was collected?
Answer: it is 205 I'm not sure if it's correct or not
suppose the population of a certain city has been doubling every 30 years and the population was 48,000 in 1900. what will the population be in 2020?
Answer:
768000
Step-by-step explanation:
From 1900 to 2020 = 120 means that it doubles 4 times ( once every 30 years)
=> 48000 * 2 ^ 4 = 768000
kathryn is x years old. if her mother is two years more than the square of kathryn's age, and the sum of their ages is 44 years. form an equation in x and solve it to find the ages of kathryn and her mother
Answer:
aaa
Step-by-step explanation:
Alicia and Bennie have decided to play a game. They each draw as many flowers on paper as they can within one minute, repeating this game many times. The number of flowers Alicia draws and the number of flowers Bennie draws are independent. The number of flowers Alicia draws within 1 minute, A, is approximately Normally distributed with a mean of 38 flowers and a standard deviation of 1.8 flowers. The number of flowers Bennie draws in 1 minute, B, is approximately Normally distributed with a mean of 41 and a standard deviation of 2.6 flowers. Let D represent the difference, A – B, in the number of Alicia’s and Bennie’s flowers drawn in 1 minute.
What is the probability that Alicia draws fewer flowers than Bennie in any 1 minute?
Answer:
Because The Flowers Bennie drew are independent
Answer:
0.829
Step-by-step explanation:
A triangle has one angle that is 70 degrees and another that is 75 degrees. What is the third angle value in degrees?
Answer:
35 degrees is the third angle's value.
what is 10066×140 please help me and explain the answer
Your answer would be 1,409,240
you would mutpliy 0 and 9 first and keep mutpliying until you get your answer
Answer:
The answer is 1,409,240
Step-by-step explanation:
I asume you are doing this by hand so here are the steps:
1. set up the problem- whitch would look like this
10066
x 140
Now you have to mutiply the 1s place, by all the number places of the top number
Sence you have a zero in the 1s place you can just put a x, whitch would look like:
10066
x 140
x
Now you do that for all the places
2 2 * Make sure you rase the number to the next place
10066 4*6 = 24 24+4= 28 4*0=0
x 140
40284x
Now that you mutiplyed the 4 by everything and got the answer of 402840 (the x is just a zero) then you leave it aside and mutiply the 1s by everything whitch is much simpler.
10066 1*6= 6 1*0= 0 1*1 =1
x 140
10066xx (now you put 2 X's)
You get the answer of 1006600 and you add it with 402840
whitch is 1,409,240 (and that is your answer)
any value that is unknown or can change is a variable? true or false ?
Answer:
True
Step-by-step explanation:
I just know off the internet. Hope this helps lol.
Which equation represents a line that is perpendicular to the line passing through (-8,7) and (2,4)?
Explanation:
Step 1) Because this is already solved for y we can get the slope of the perpendicular line by taking the slope of the given line (-3) and "flipping" it and reversing the sign:
−3 becomes −−13→+13→13
Therefore the slope of the perpendicular line is 13
Step 2) Use the point slope for to find the perpendicular equation:
y−1=13(x−−1)
y−1=13(x+1)
y−1=13x+13
y−1+1=13x+13+1
y−0=13x+13+33
y=13x+43
y=(13)x+(43)
Explanation:
Val needs to find the area enclosed by the figure. The figure is made by attaching
semicircles to each side of a 46-m-by-46-m square. Val says the area is 1,206.12
m². Find the area enclosed by the figure. Use 3.14 for 1. What error might Val have
made?
Answer: See below
Step-by-step explanation:
Radius of the semicircle = 46/2 = 23 m
[tex]\therefore$ Area enclosed by the figure $=4 \times$ Area of semicircles + Area of square \begin{aligned} \\&=4 \times 3.14 \times(23)^{2} \times \frac{1}{2}+(46)^{2} \\&=3322.12+2116 \end{aligned} \\\\\\Area enclosed $=5438.12 \mathrm{~m}^{2}$[/tex]
So, Val might have have subtracted 2116 from 3322.12 instead of adding since 3322.12 - 2116 = 1206.12
Match each expression on the left with its corresponding simplified form.
A) m + 5
B) m + 3
C) m + 4
D) m + 8
note: there is no single answer. every single answer has to get matched
The equivalent expressions are: (4 + m) + 1 = m + 5, (m + 3) + 1 = m + 4, (2 + m) + 6 = 2 + m + 6 and (1 + m) + 2 = m + 3
What are equivalent expressions?Equivalent expressions are expressions that have equal values when evaluated
Start by evaluating each expression.
(4 + m) + 1
Remove the bracket
(4 + m) + 1 = 4 + m + 1
Evaluate
(4 + m) + 1 = m + 5
(m + 3) + 1
Remove the bracket
(m + 3) + 1 = m + 3 + 1
Evaluate
(m + 3) + 1 = m + 4
(2 + m) + 6
Remove the bracket
(2 + m) + 6 = 2 + m + 6
Evaluate
(2 + m) + 6 = m + 8
(1 + m) + 2
Remove the bracket
(1 + m) + 2 = 1 + m + 2
Evaluate
(1 + m) + 2 = m + 3
Hence, the equivalent expressions are: (4 + m) + 1 = m + 5, (m + 3) + 1 = m + 4, (2 + m) + 6 = 2 + m + 6 and (1 + m) + 2 = m + 3
#SPJ1
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HELP SOLVE THANK YOU!
Answer:
Solution 1: 1+1[tex]\sqrt{3}[/tex]
Solution 2: 1-[tex]1\sqrt{3}[/tex]
Step-by-step explanation:
x^2-2=2x
x^2-2x-2=0
Use quadratic equation.
(-b+-[tex]\sqrt{b^2-4ac}[/tex])/2a
(2+-[tex]\sqrt{(-2)^2-4*1*-2}[/tex])/2
(2+-[tex]\sqrt{(4+8})[/tex])/2
(2+-[tex]\sqrt{12}[/tex])/2
Solution 1: (2+2[tex]\sqrt{3}[/tex])/2=1+1[tex]\sqrt{3}[/tex]
Solution 2: 1-[tex]1\sqrt{3}[/tex]
Let's first move everything, the constants and variables to one side
[tex]x^2-2=2x[/tex] ⇒ [tex]x^2-2x-2=0[/tex]
The second form is in the general form of the quadratic equation:
⇒ [tex]ax^2+bx+c = 0[/tex]
a ⇒ 1b ⇒ -2c ⇒ -2To find the value of x, we can use the quadratic formula:
⇒ look at the diagram attached
[tex]x = \frac{-b-\sqrt{b^2-4ac} }{2a} =\frac{2-\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2-\sqrt{4+8} }{2} =\frac{2-\sqrt{12} }{2} =\frac{2-2\sqrt{3}}{2} =1-\sqrt{3}[/tex]
[tex]x = \frac{-b+\sqrt{b^2-4ac} }{2a} =\frac{2+\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2+\sqrt{4+8} }{2} =\frac{2+\sqrt{12} }{2} =\frac{2+2\sqrt{3}}{2} =1+\sqrt{3}[/tex]
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Answer
To answer the question, just answer in the order I solved it, because the question asks you to put the answer in ascending order which means from least to greatest.
Hope that helps!
2. Given the system shown below do the following: y = 1/2x - 2 y = -3x + 5 solve this system graphically using the grid shown solve this system by substituting
Answer:
~Shoto todoroki here~
I think this would be your solved equation, -3x+5 making your X intercepts at: (5/3, 0) and your Y intercepts at: (0, 5)
The equation has Unique Solution.
What is solution of equation?The solution to a linear equation is the point at which the lines that represent the intersection of two linear equations are defined. In other words, the solution set for the system of linear equations is the set of all possible values for the variables that satisfy the given linear equation.
There are three ways to solve the set of linear equations.
Unique Solution, No Solution and Infinitely Many Solutions.
Given y = 1/2x - 2
x 0 4
y -2 0
y = -3x + 5
x 0 2
y 5 -1
the graph is attached
solving by substitution
y = 1/2x - 2
y = -3x + 5
both equations are equal for y
1/2x -2 = -3x + 5
1/2x + 3x = 5 + 2
7/2x = 7
x = 2
and at x =2 y = -1
equation intersect at (2, -1) and have unique solution.
Hence there is Unique Solution for equations.
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Write the following as an inequality (-1,43)
Answer:
-1<x<43
Step-by-step explanation:
North of Carthage is this, it is a shallow evaporate lake:
A. Rub al-Khali
B. None of these
C. Sebkhet Arina
D. Sebkhet Qaddafi
Answer:
b none of these..........
A square pyramid is shown below: What is the surface area of the pyramid?
A: 11.69 square feet
B: 3.29 square feet
C: 7.49 square feet
D: 2.24 square feet
Answer:
A: 11.69 square feet.
Step-by-step explanation:
11.2 + 0.49
= 11.69
How much would you need to deposit in an account now in order to have $2000 in the account in 5 years? Assume the account earns 2% interest compounded monthly.
Answer:
$1950.74
Step-by-step explanation:
step 1
x(1 + 0.06/12)^5=2000
step 2
x= 2000/(1 + 0.06/12)^5
= 1950.741337
Answer: 500
Step-by-step explanation:
formula for interest is
I= Principle x Rate x Time
2% as a decimal is 0.02
Anna draws an angle in her notebook. In how many points do the rays intersect?
A. 2
B. 0
C. 1
D. 3
Answer:
The Answer is C
Step-by-step explanation:
Anna draws a angle that intercets at 1
When two straight lines or rays intersect at a shared endpoint, an angle is generated. The exact number of points at which the two rays will intersect is 1. The correct option is C.
What is an angle?When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
As per the definition of an angle, the point at which the two of the given rays will intersect each other is exactly 1 point.
Hence, the exact number of points at which the two rays will intersect is 1.
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759 is 45% of what number?
Answer:
1686.67
Step-by-step explanation:
Y = 1/2x^2+1/4x+1/8
4. Find the slope of the line tangent at the given x
Answer:
dy/dx = x + ¼
Step-by-step explanation:
Using differentiation to find the given value,
[tex]y = \frac{1}{2} {x}^{2} + \frac{1}{4} x + \frac{1}{8} \\ \frac{dy}{dx} = 2(\frac{1}{2}) {x}^{2 - 1} + 1(\frac{1}{4} ) {x}^{1 - 1} + 0 \\ = x + \frac{1}{4} [/tex]
Which of the following cannot be determined from the boxplots shown?
16
14
12
10
Set A
Set B
A. The minimum of set B is smaller than the minimum of set A
B. The maximum of set A is the same as the maximum of set B
OC. The median of set A is larger than the median of set B
OD. The mean of set A is larger than the mean of set B
The correct option is D the mean of set A is larger than the mean of set B.
A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.
Here in the the box and whisker plot data values are not marked and these based on five points so mean cannot be determined here because mean required marked values.
The mean formula is given as the average of all the observations. It is expressed as Mean = {Sum of Observation} ÷ {Total numbers of Observations}.
But here in box and whisker plot no actual values are known so we can't find the mean.
Hence mean cannot be determined here with that given data.
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I need this answered asappp
Answer: f(-4)=-4f
f(-3)=-3f
B.
Step-by-step explanation:
Mato is making a leather belt inlaid with beads. On the first day there were b beads on the belt. On
the fourth day, there were b³ beads on the same belt. There were 216 beads on the belt on the
fourth day.
How many beads were on the belt on the first day?
Answer:
6
Step-by-step explanation:
On the fourth day, there were b^3 beads and 216 beads on the belt, which means b^3 = 216. Taking the cube root of both sides, we have b = 6, which means there were 6 beads on the belt on the first day.
Answer:
6
Step-by-step explanation: