Complete Question
Suppose that the amount of time teenagers spend weekly working at part-time jobs is normally distributed with a standard deviation of 40 minutes. A random sample of 15 teenagers was drawn and each reported the amount of the time spent at part-time jobs (in minutes). These are listed here 180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125. Determine the 95% confidence interval estimate of the population mean.
Answer:
The 95% confidence interval is [tex] 127.09 < \mu < 167.57 [/tex]
Step-by-step explanation:
From the question we are told that
The standard deviation is [tex]\sigma = 40[/tex]
The sample size is n = 15
The data given is 180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{ \sum x_i}{n }[/tex]
=> [tex]\= x = \frac{ 130 + 150 + \cdots + 125 }{ 15 }[/tex]
=> [tex]\= x = 147.33[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{40}{\sqrt{15} }[/tex]
=> [tex]E =20.24 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex] 147.33 -20.24< \mu < 147.33 + 20.24 [/tex]
[tex] 127.09 < \mu < 167.57 [/tex]
A company that makes hair-care products had 6,000 people try a new shampoo. Of the 6,000 people, 48 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
I would say 2880 sorry if am wrong
Step-by-step explanation:
6000*48=288,000 then divide by 100 because percent means 100. 288,000/100= 2,880. hope this helps can I get brainlist and add effort before you come to look for anwer.
Can someone help me plz
Answer:
i think the answer is 7
help, I’ll give brainliest and thanks
Answer:
1/2
Step-by-step explanation:
Rise over Run... 2/4
Please answer this question.... You enter a room. 2 dogs, 4 horses, 1 giraffe, and a duck are lying on the bed. 3 chickens are flying over a chair. How many legs are on the ground?
Answer:
36 legs
Step-by-step explanation:
Including the chair and yourself
Find the product. Enter your final answer as a simplified fraction.
-1/8•7•2/5=
Answer:
-7/20
Step-by-step explanation:
Answer:
-1/140
Step-by-step explanation:
-1/8*7*2/5
-7/8*2/5
-7/20
What is the nth term rule of the linear sequence below?
-9, -5, -1,3,7,...
Answer:
Step-by-step explanation:
Given sequence
-9, -5, -1,3,7,...
Is A.P(,airthmetic progression)
So
nth term of an A.P =a+(n-1)d
Where a=first term (-9)
D=difference=(-5)-(-9)=4
So nth term=-9+(n-1)4
=4n-13
Answer is 4n-13
Which transformations map the strip patterns onto itself?
Answer: D.
A horizontal translation and a glide reflection.
Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
Answer:
No, it isn't.
Step-by-step explanation:
We have [tex]V=IR^{2}[/tex] and let [tex]H[/tex] be the subset of [tex]V[/tex] of all points on the line
[tex]4x+3y=12[/tex]
We need to find if [tex]H[/tex] is a subspace of the vector space [tex]V[/tex].
In [tex]IR^{2}[/tex] all the possibilities for own subspace of the vector space [tex]IR^{2}[/tex] are :
[tex]IR^{2}[/tex] itself.The vector [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex]All lines in [tex]IR^{2}[/tex] that passes through the origin ( [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex] )We know that [tex]H[/tex] is the subset of [tex]IR^{2}[/tex] of all points on the line [tex]4x+3y=12[/tex]
If we look at the equation, the point [tex]\left[\begin{array}{c}0&0\end{array}\right][/tex] doesn't verify it because :
[tex]4x+3y=12\\4(0)+3(0)=12\\0=12[/tex]
Which is an absurd. Therefore, [tex]H[/tex] doesn't contain the origin (and [tex]H[/tex] is a line in [tex]IR^{2}[/tex]). Finally, it can't be a vector space of [tex]V=IR^{2}[/tex]
What is the following product?
(5-12-4/5)(512-43
PLEASE HELP ):
Answer:
-3658.2
Step-by-step explanation:
Find the value of n.
9 x -1 x n = 9 x -3
Answer:
n=3
Step-by-step explanation:
9 x -1 x n = 9 x -3
-9n=-27
9n=27
n=27/9
n=3
So value of n is 3
Graph the greatest integer, f(x) = [x]
Answer:
Step-by-step explanation:
-4-5(2x -4) = 76
-6
9
-4
7
9514 1404 393
Answer:
x = -6
Step-by-step explanation:
-4 -10x +20 = 76 . . . . . eliminate parentheses
-10x = 60 . . . . . . . . . . . subtract 16
x = -6 . . . . . . . . . . . . . . divide by -10
What would the set notation for the domain and range of the function, (-3, 6), (-2, -3), and (-1, 6)
Answer:
Domain: {-3, -2, -1}
Range: {-3, 6}
General Formulas and Concepts:
Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).Step-by-step explanation:
Step 1: Define
(-3, 6)
(-2, -3)
(-1, 6)
Step 2: Identify x-values
x = -3, -2, -1
Step 3: Identify y-values
y = -3, 6, 6
true or false ------- y-intercept is where a point crosses the x-axis
Answer:
false
Step-by-step explanation:
that would be x-intercept
I don't know how to solve this.Please help!
3^x=2
help me answer this question please
Answer:
f'(2) = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASCalculus
The definition of a derivative is "the slope of the tangent line".
Derivatives of constants are 0.
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 4x + 2
Step 2: Find 1st Derivative
Basic Power Rule: f'(x) = 2·3x²⁻¹ - 1·4x¹⁻¹Simplify: f'(x) = 6x - 4Step 3: Find tangent slope
Define: f'(x) = 6x - 4, x = 2Substitute: f'(2) = 6(2) - 4Multiply: f'(2) = 12 - 4Subtract: f'(2) = 8Step 4: Identify
f'(2) = 8 tells us that at x = 2, the slope of the tangent line is 8.
You burn 4 Cal/min walking and 10 Cal/min running. You walk 10 to 20 min each day and run 30 to 45 min each day. You never spend more than an hour running and walking together. How much time should you spend on each activity to maximize the number of Calories you burn? Will you have exercised enough to burn off a 500-Calorie meal? A. 50 minutes running, 10 minutes walking; yes. B. 45 minutes running, 15 minutes walking; yes. C. 40 minutes running, 20 minutes walking; no. D. 30 minutes running, 30 minutes walking; no.
Answer:
I don’t know how to do the explanation but the answer is 15 min waking and 45 running. I got it right on the test
Step-by-step explanation:
Multiply 8674 x 678 is what
Answer:
5880972
hope it helps..
Is (2, 2) a solution of the inequality y < 3x - 5?
Answer: it’s not a solution or C
Step-by-step explanation:
the given point is (2,2) there is a x value and a y value
so 2 < 3(2)-5 *we know 3*2 is 6 and 6-5 is 1*
2 does NOT equal to 1
Answer:
Third option, It is not a solution.
Step-by-step explanation:
Which equation has the solution x=3
Answer:
6-x=3 4-x=1 96 divided by x = 32
Step-by-step explanation:
Hope this helped! If it did, please mark me as brainilest and give a shot at my 100 points homework/puzzle. Here is the link: https://brainly.com/question/19021808 Thanks!
Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right triangle. The length of the hypotenuse is 12. a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B. Round your answers to four decimal places.
Answer:
27
Step-by-step explanation:
2 TIMES 3
The length of the side a and b is 2.0837 and 11.8176 respectively.
Length of side a and b to be determine, hypotenuse is 12 and a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B.
Trigonometry is branch of mathematics that helps in elevation and angle problems.
Let assume that one angle of triangle is right angle.
So in right angles triangle,
hypotenuse = 12
cos10 = length of b /12
length of b = 12 cos10
length of b = 11.8176
Now,
sin 10 =length of a/ 12
length of a = 12 sin10
length of a = 2.0837
Thus, the length of the side a and b is 2.0837 and 11.8176 respectively.
Learn more about trigonometry here:
https://brainly.com/question/26719838
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a company has recently been hiring new employees. today the company has 26% more employees than it did a year ago. if there are currently 69300 employees, how many employees did the company have a year ago
Answer:
Did you just assume my gender?
Mark me brainliest please :)
Love ya!
Step-by-step explanation:
8 less than the length L
Answer:
L-8=?
Step-by-step explanation:
how many eights are there in three and a quater
A downtown parking garage charges individuals to park a car according to the following rate schedule: $1.00 for the first hour, then $2 for each subsequent hour until the daily maximum charge of $9.00 is reached. These charges are represented in the graph below.
which of the following is true?
Answer:
In the graph, a white dot means that the value does not belong to the set, while the colored dot means that the value does belong.
Let's analyze each statement (from top to bottom)
1)The x-axis represents the number of hours, and the y-axis the charge.
Then let's find x = 2.
You can see that there is a colored dot at y = $3, and a white dot at y = $5.
Then the price for exactly two hours is $3, not $5.
Then this first statement is wrong.
2) You can assume that 20 minutes is in between x = 0 and x =1, then from that point, you can see that the equivalent value of y is $1. Then the individuals who park only for 20 minutes will be charged with $1,
This statement is wrong.
3) 1 hour and 15 minutes is in between 1 and 2 hours.
And as you can see, for 1 < x ≤ 2, the price is $3. Then this statement is correct.
4) Here we have x > 4.
In the graph you can see that all values of x > 4 are mapped into the black part of the graph, which is equivalent to the maximum charge of $9.
Then this statement is correct.
Select the correct answer.
The surface area of a cube is 600 square inches. What is the area of one of its faces?
A 6 square inches
B. 36 square inches
C. 75 square inches
D. 100 square inches
Answer:
D=100 square inches
Step-by-step explanation:
Area of a square=side^2
Area of a cube=6xside^2
let the side be a
6a^2=600
a^2=600/6
a^2=100
Answer:
im on it its d
Step-by-step explanation:
how do u find the third side
Answer:
Square root of 49
The missing side is 7
Step-by-step explanation:
With the Pythagorean theorem.
25^2= 625
24^2= 576
Square root of 49=7
The missing side is 7
LMC given numbers 60 and 80
240 is answer
LCM : least common factorIf 3x + 7 = 5 for some value of x, then what does the expression 6x +17 equal for the same value of x?
Answer:
13
Step-by-step explanation:
First, double the first equation.
If 3x+7=5, then 6x+14=10
Since they are asking for 6x+17, the answer is 10+3=13
Hope I helped!
5 + x + 3 + 2x = -2(4x - 15) show the work
Answer:2
Step-by-step explanation: