Answer:
99% Confidence Interval = (5.824,6.036)
Step-by-step explanation:
The coffee and soup machine at the local subway station is supposed to fill cups with 6 ounces of soup. Ten cups of soup are bought with results of a mean of 5.93 ounces and a standard deviation of .13 ounces. Construct a 99 percent confidence interval for the true machine-fill amount.
The formula for confidence interval
= Mean ± z × σ/√n
Mean of 5.93 ounces
Standard deviation of .13 ounces.
n = 10 cups
z= z score of 99% confidence interval = 2.58
Confidence Interval =
5.93 ± 2.58 × 0.13/√10
5.93 ± 2.58 × 0.0411096096
Confidence Interval = 5.93 ± 0.106
= 5.93 - 0.106
= 5.824
= 5.93 + 0.106
= 6.036
Hence, Confidence Interval = (5.824,6.036)
You are conducting an experiment to evaluate how the number of hours spent exercising each week affects blood pressure. What is the independent variable in this experiment
Answer:
The question is incomplete, below is the complete question
You are conducting an experiment to evaluate how the number of hours spent exercising each week affects blood pressure. What is the independent variable in this experiment?
The intensity of the exercise.
The amount of exercise each week.
Blood Pressure
The type of exercise.
Answer:
The amount of exercise each week.
Step-by-step explanation:
The two major kinds of variables in a scientific experiment are the independent and dependent variables.
The independent variable is the variable whose values are completely under the complete manipulation of the experimenter. The experimenter decides what value to assign to the variables in this category and the effect of the manipulation of the independent variable determines the outcome variable. In this example, the amount of exercise each week, which is determined by the number of hours exercised each week is subject to the experimenter, hence it is the independent variable
The dependent or outcome variable is the variable whose values depend on the effect of the manipulation of the independent variable. This variable is not directly subject to the manipulation of the experimenter. In this example, the blood pressure gotten after the exercise is the outcome variable.
The variables in an experiment can be dependent or independent
The independent variable in the experiment is: the amount of exercise each week.
From the question, the parameters are:
Exercise intensity Amount of exercise each week. Blood Pressure Type of exercise.
For a variable to be considered as the independent variable, then the variable is not influenced by other variables or parameters.
Within the scope of this question, the independent variable is the weekly amount of exercise
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Can someone help and explain how to do this
Answer: yeah
Step-by-step explanation: So what you do is ask a question and then add a picture so people know what the fawk you talkin bout lol.
solve this one-variable linear equation
7h-5(3h-8)=-72
Answer:
h=14
Step-by-step explanation:
7h-5(3h-8)=-72
Combine Like Terms
-8h+40=-72
Subtract 40 on both sides
-8h+40 -40 = -72 -40
Then we get
-8h/8=-112/8 so we divide by 8
h=14
Jim earned $95 after working days. At this rate how many days will it take him to earn $285?
Answer: 3
Step-by-step explanation:
95 x 3 = 285
Answer:3
Step-by-step explanation:
A set of stickers contain 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars
Answer:
4:6
Step-by-step explanation:
4:6
8:12
12:18
16:24
Answer:
2:4
Step-by-step explanation:
Suppose the sum of three consecutive even integers is given. How can you find the three numbers?
Answer:
y = (x-6)/3
Step-by-step explanation:
3 consecutive even integers: y, y+2, y+4
y+y+2+y+4 = x
3y+6 = x
y = (x-6)/3
What is the value of y?
y + 10
50"
A. 50°
B. 40°
C. 30°
D. 60°
Answer:
B) 40
Step-by-step explanation:
[tex]interior - angle - of a triangle - is - always - 180\\\\2y + (y + 10) + 50 = 180\\2y + y + 10 + 50 = 180\\3y + 60 = 180\\subtract-60-from-both-sides\\3y = 120\\y = \frac{120}{3}\\y = 40[/tex]
Answer:
B)
Step-by-step explanation:
a p ec
Tell whether the sum is positive, negative, or zero without adding them. -11/12 + 7/12
negative, because 11 is greater than 7. just think about it like a number line :)
6x3 – 5x² + x + 1 divided by x + 2
Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) ℒ−1 s (s − 4)(s − 5)(s − 20)
Answer:
[tex]L^{-1} \begin {pmatrix} \dfrac{s}{((s-20)(s-5)(s-4)} \end {pmatrix}= \dfrac{e^{4t}}{12}\begin {pmatrix}e^{16t} - 4e^t+3 \end {pmatrix}[/tex]
Step-by-step explanation:
From the given information the first step to carry out is to find the partial fraction of the given equation; i.e.
[tex]\dfrac{s}{(s-4)(s-5)(s-20)}= \dfrac{A}{s-4}+\dfrac{B}{s-5}+\dfrac{C}{s-20}[/tex]
After finding the partial fraction; we get:
[tex]s= s^2(A+B+C)+s(-2A-24B-25C)+20A+80B+100C[/tex]
By solving this; we get:
[tex]A =\dfrac{1}{12}\ ; \ B = -\dfrac{1}{3} \ ; \ C= \dfrac{1}{4}[/tex]
Thus; the above equation can be re-written as:
[tex]\dfrac{s}{(s-20)(s-5)(s-4)}= \dfrac{\dfrac{1}{12}}{s-20}+\dfrac{-\dfrac{1}{3} }{s-5}+\dfrac{\dfrac{1}{4}}{s-4}[/tex]
Finally as a function of t ;
[tex]L^{-1} \begin {pmatrix} \dfrac{s}{((s-20)(s-5)(s-4)} \end {pmatrix}= \dfrac{e^{4t}}{12}\begin {pmatrix}e^{16t} - 4e^t+3 \end {pmatrix}[/tex]
A normally distributed population has a mean of 500 and a standard deviation of 60. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 475. A. 0.3251 B. 0.0712 C. 0.7124 D. 0.0475
Answer:
D
Step-by-step explanation:
We start out by calculating the z-score
z = (x-mean)/SD/√n
x = 475
mean = 500
SD = 60
n = 16
Substituting these;
z = (475-500)/60/√16
z = (-25)/60/4
z = -25/15
z = -1.67
So the probability we want to
calculate is P (x < -1.67)
we can use the standard normal distribution table here;
And from the standard normal distribution table;
we have P( x < -1.67) as 0.04746
which is approximately 0.0475
The probability that this population will have a sample mean less than 475 is 0.0475
z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ \mu=mean,\sigma=standard\ deviation,x=raw\ score,n=sample\ size[/tex]
Given that n = 16, μ = 500, σ = 60.
For x < 475:
[tex]z=\frac{475-500}{60/\sqrt{16} } =-1.67[/tex]
From the normal distribution table, P(x < 475) = P(z < -1.67) = 0.0475
The probability that this population will have a sample mean less than 475 is 0.0475
Find out more on z score at: https://brainly.com/question/25638875
I'll Give You Brainliest for best answer! Please Help!
The sum of three consecutive numbers is 72. What is the smallest of these numbers?
Answer:
Therefore, the three consecutive numbers whose sum is 72 are 23, 24, and 25, and 23 is obviously the smallest.
Step-by-step explanation:
Hope this helps : )
The derivative of y = 57x-4
Answer:
[tex]\displaystyle y' = 57[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = 57x - 4[/tex]
Step 2: Differentiate
Derivative Property [Addition/Subtraction]: [tex]\displaystyle y' = \frac{d}{dx}[57x] - \frac{d}{dx}[4][/tex]Derivative Property [Multiplied Constant]: [tex]\displaystyle y' = 57 \frac{d}{dx}[x] - \frac{d}{dx}[4][/tex]Basic Power Rule: [tex]\displaystyle y' = 57[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
The following are the number of departmental stores in 10 cities: 35, 27, 24, 32, 42, 30, 34, 40, 29 and 38.If we want to select a sample of 15 stores using cities as clusters and selecting within clusters proportionalto size, how many stores from each city should be chosen? (Use a starting point of 4).
Answer:
24
Step-by-step explanation:
:) hope this help
The salaries of Kofi and Ama are in the ratio 3:5. If the salary of each is raised by ¢4000, the new ratio becomes 40:57. what is Ama's salary
Answer:
34000
Step-by-step explanation:
New Ratio = 40/57
Gap between numerator & denominator = 17
Original Ratio = 2/3
Gap between numerator & denominator = 1
=> Original Ratio can be restated as 34/51 to make gap of both ratios same.
Difference between two numerators OR denominators = 40 - 34 = 6 or 57 - 51 = 6
If gap is 6, sumit’s original salary = 51
If gap = 4000, sumit’s original salary is :
51/6 x 4000 = 34000
The salary of Amma is given as ¢11724.10.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The ratio of the salaries of Kofi and Ama is given as 3 : 5.
After adding 4000 to each ratio the new ratio becomes as 40 : 57.
Suppose the present salaries of Kofi and Ama be 3x and 5x respectively.
Then, as per the question following equation can be written as,
(3x + 4000)/(5x + 4000) = 40/57
=> 57(3x + 4000) = 40(5x + 4000)
=> 200x - 171x = 68000
=> 29x = 68000
=> x = 68000/29
= 2344.82
The Amma's salary is given by,
5x = 5 × 2344.82
= 11724.10
Hence, Amma's present salary is given as ¢11724.10.
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A mini fruit juice box contains 4 fluid ounces of juice. You need 2 1/2 quarts of fruit juice. How many mini fruit juice boxes will you need?
Answer:
1 3/5, hope I helped!
Step-by-step explanation:
4 divided by 2 1/2
4/1 divided by 5/2
4/1 times 2/5
8/5
1 3/5
8/5 mini fruit juice boxes will be needed
It is given that a mini fruit juice box contains 4 fluid ounces of juice, we need to find how many mini fruit juice boxes will be needed for 2 1/2 quarts of fruit juice.
What is 1 quart?
A unit of US customary system used in liquid measure, equal to 2 pints or 32 ounces
4 divided by 2 1/2
4 divided by 5/2
4 × 2/5
8/5
Therefore 8/5 mini fruit juice boxes will be needed for 2 1/2 quarts of fruit juice
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if 2/3 of the girls in class have brown eye and 1/4 of the girls have blue eyes what fraction of the girls in class have neither blue or brown eyes
Answer:
1/12 have neither blue or brown eyes.
Step-by-step explanation:
First you change the fractions to have an equal denominators. 2/3= 8/12. 1/4= 3/12.
Then you add them
8/12 + 3/12= 11/12
After that you subtract 12/12- 11-12= 1/12
I hope this helps you.
Jeffrey is considering two different car loans. One is for 5 years and one is for 6 years. How many additional payments are required if Jeffrey chooses the 6-year loan?
Answer:
12
Step-by-step explanation:
What is an equation of the line that passes through the point ( 1 , 7 ) and is parallel to the line
3x−y=1?
Answer:
(y-1)= 3(x-7)
Step-by-step explanation:
1. you put the equation given in slope intercept form so y=3x-1.
2. you find the slope, parellel lines have the same slope so the slope for the new equation will remain 3.
3. then you write the point-slope form equation
4) make sure to plug in the x1 and y1 values from the coordniates given
The required equation of the line is given as 3x - y = -4.
Given that,
The equation of the line that passes through the point ( 1, 7 ) and is parallel to the line 3x−y = 1 is to be determined.
The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
The standard equation of the line is given as,
y = mx + c,
Since the line is parallel to line 3x - y = 1 whose slope is m = 3, and also the slope of the parallel line are equal.
so,
y = 3x + c
Put points (1, 7) in the above equation,
7 = 3 + c
c = 4
y = 3x + 4
Thus, the required equation of the line is given as 3x - y = -4.
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is a negative reacting decimal rational or irrational ?
IM A DUMB BLONDE I NEED YOUR HELP ASAP
Answer:
The answer is A:10
Step-by-step explanation:
x =10
Answer:
10
Step-by-step explanation:
4×sqrt(3)(x-2) =8 //multiply both sides with power of 3 (so you get rid of the square root of 3.
64(x-2) = 512
64x - 128 = 512
64x = 640 // /64
x=10
Give a counterexample to show that the following conditional is False.
If a number is divisible by 4, then it is divisible by 12.
Which of the following ordered pairs is represented by a point located on the y-axis?
Select one:
a.(6,-6)
b. (3,3)
c. (0,8)
d. (-5,0)
Answer:
d (-5,0)
Step-by-step explanation:
If a point is located on the x-axis, then the y-coordinate is 0.
d is the only point that sits on the x-axis. I know this because it's y-coordinate is 0.
(0,8) is actually a point sitting on the y-axis.
Evaluate the expression when a = 2 and b=4.
6²-2a
Simplify your answer as much as possible.
I
Please help!!!
Answer:
6
Step-by-step explanation:
hope this will help u for your work
Choose the correct answer. If a bond sells for _____ face value, it is selling at a discount
more than
less than
Answer: less then
Step-by-step explanation:
HELP MEEEEEEEEEEEEEE PLEASE
Answer: The answer is A (32)
Step-by-step explanation:
you multiply 8 times 4 and you get 32.
6 more than the product of 5 and a number
6+5x
Step-by-step explanation:
A buyer purchases 20% of the 12,000 widgets in a warehouse inventory. The next day, another buyer purchases 10% of the remaining widgets. How many wedges are left in the warehouse?
Answer:
600000
Step-by-step explanation:
21. Complete the Proof.
g 5. (Sec. 5.1) Suppose the marginal pdfs of two independent rvs X and Y are given byfX(x) = (5x4 for 0 x 10 otherwisefY (y) = (2y3 + y for 0 y 10 otherwise(a) Find the joint pdf of X and Y .
Answer:
f(x,y) = 5x⁴(2y³ +y ) 0<x<1 , 0<y<1 , 0 otherwise
Step-by-step explanation:
Given
F(x) = 5x⁴ for 0<x<1 and 0 otherwise
f(y)= 2y³ +y for 0<y<1 and 0 otherwise
the joint p.d.f is given by
f(x,y) = f(x) * f(y)= 5x⁴(2y³ +y ) 0<x<1 , 0<y<1 , 0 otherwise
The joint pdf is found by multiplying the marginal pdfs.
The two random variables are said to be statistically independent if the joint probability function can be expressed as the product of two marginal functions.