Answer:
981.11
981.11+4005-00000.98- 400+1=4586.13
Step-by-step explanation:
Just order of operations
Hope this helps!
Answer:
981.11
Step-by-step explanation:
A manager at a local manufacturing company has been monitoring the output of one of the machines used to manufacture chromium shells. Past data indicate that if the machine is functioning properly, the length of the shells produced by this machine can be modeled as being normally distributed with a mean of 118 centimeters and a standard deviation of 8 centimeters. Suppose 16 shells produced by this machine are randomly selected. What is the probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly?" Please type your answer in 3 decimal places.
Answer:
0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".
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 estabilishes 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.
Normally distributed with a mean of 118 centimeters and a standard deviation of 8 centimeters.
This means that [tex]\mu = 118, \sigma = 8[/tex]
Sample of 16 shells
This means that [tex]n = 16, s = \frac{8}{\sqrt{16}} = 2[/tex]
What is the probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly?"
This is the pvalue of Z when X = 120 subtracted by the pvalue of Z when X = 116.
X = 120
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{120 - 118}{2}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.841
X = 116
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{116 - 118}{2}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.159
0.841 - 0.159 = 0.682
0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".
Which expression is equivalent to (3^2)^-2
?
Answer:
I think the answer is 2\9
Step-by-step explanation:
The coordinates of three vertices of a rectangle are (-4, 1), (-1, 3), and (-4, 3). Which of these points is the fourth vertex?
Answer:
The answer is (-1, 1)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
7/15
Step-by-step explanation:
Multiples of 3 = 3, 6, 9, 12, 15
Multiples of 5 = 5, 10, 15
3, 5, 6, 9, 10, 12, 15 = 7 numbers
Probability = 7/15
Hope that helps!
Answer:
7/15
Step-by-step explanation:
Because it is the "Correct Answer"
WILL GIVE BRAINLEST 50 POINTS!
6.9.4 Journal: Similar circles
Scenario: Prove That All Circles Are Similar
Instructions
View the video found on page 1 of this Journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
The Students' Conjectures:The two students have different methods for proving that all circles are similar.
1. Complete the table to summarize each student's conjecture about how to solve the problem. (2 points: 1 point for each row of the chart)
Classmate Conjecture
John
Teresa
Evaluate the Conjectures:
2. Intuitively, does it make sense that all circles are similar? Why or why not? (1 point)
Yes just because some are small and some are big doesn't mean that they are different. And the formula for a circles circumference is C=2pi r and 2 and pi are alaway the same the only thing that changes is r.
Construct the Circles:
3. Draw two circles with the same center. Label the radius of the smaller circle r1 and the radius of the larger circle r2. Use the diagram you have drawn for questions 3 – 10. (2 points)
4. In your diagram in question 3, draw an isosceles right triangle inscribed inside the smaller circle. Label this triangle ABC. (1 point)
5. What do you know about the hypotenuse of △ABC? (2 points)
6. In your diagram in question 3, extend the hypotenuse of △ABC so that it creates the hypotenuse of a right triangle inscribed in the larger circle. Add point Y to the larger circle so it is equidistant from X and Z. Then complete isosceles triangle XYZ. (1 point)
7. What do you know about the hypotenuse of △XYZ? (2 points)
8. How does △ABC compare with △XYZ? Explain your reasoning. (2 points)
9. Use the fact that △ABC ≈ △XYZ to show that the ratio of the radii is a constant. (2 points)
Making a Decision
10. Who was right, Teresa or John? (1 point)
Further Exploration:
11. What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:I see the questions but is there supposed to be a chart or is it just questions?
Step-by-step explanation:
Answer:
I got the first one which is
John -if a circle is put it into the center of another and dilate to show that they are similar.
Teresa - says that if all corresponding parts of two circles have the same ratio they are similar.
Yes, all circles seem to be similar
PLS ANSWER ASAP THANKS
x = 95°
The angles are vertically opposite so they are equal.
22 is what percent of 40?
what is 35% of 60?
Answer:
Step-by-step explanation:
x% of 40 = 22
(x/100)×40 = 22
x = 22×100/40 = 55
22 is 55% of 40
:::::
35% of 60 = 0.35×60 = 21
Answer:
[tex]\huge\boxed{55\%}\\\boxed{21}[/tex]
Step-by-step explanation:
22 is what percent of 40?
[tex]\dfrac{22}{40\!\!\!\!\diagup}\cdot100\!\!\!\!\diagup\%=\dfrac{22\cdot10}{4}\%=\dfrac{11\cdot5}{1}\%=55\%[/tex]
[tex]p\%=\dfrac{p}{100}\\\\35\%=\dfrac{35}{100}=0.35\\\\35\%\ of\ 60\to \dfrac{35}{100\!\!\!\!\diagup}\cdot60\!\!\!\!\diagup=\dfrac{35\cdot6}{10}=\dfrac{210}{10}=21[/tex]
HELP PLS! BRAINLIEST WILL BE GIVEN
Answer:
Might be C
Step-by-step explanation:
What is the measure of the third angle in the yellow triangle?
Answer:
54
Step-by-step explanation:
66+60=126
180-126=54
Insert one term between -13 and -119 to create an arithmetic sequence of three terms.
Answer:
-66
Step-by-step explanation:
- 13, ____, -119
first, find the common difference:
-13 - (-119) = 106
next, divide 106 by 2: [tex]\frac{106}{2}[/tex] = 53
so, the common difference is 53.
now, subtract 53 from -13:
-13 - 53 = -66
Answer:
-66
Step-by-step explanation:
the sequence goes -13,-66,-119
just subtract with 53
(decreasing arithmetic sequence)
A newsletter publisher believes that 49% of their readers own a personal computer. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.05 level of significance, the testing firm decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
Answer:
The conclusion regarding the publisher's claim is that the 49% of their readers own a personal computer.
Step-by-step explanation:
The null hypothesis is always opposite of the claim . If the null hypothesis is rejected it means the claim is accepted.
The alternate hypothesis ( claim) is
Ha: u = 0.49
The null hypothesis is
H0 : u ≠ 0.49
The null hypothesis is rejected. The claim is accepted.
The claim ( alternate hypothesis ) was the newsletter publisher believe which is accepted.
The conclusion is drawn that the newsletter publisher was accurate that 49% of their readers own a personal computer.
A cake pan in the shape of a right triangle is shown below. What is the volume of the open area of the cake pan? A. 90 cubic inches B. 45 cubic inches C. 120 cubic inches D. 180 cubic inches
Answer:
Im pretty sure its d
Step-by-step explanation:
im not sure but i’m sorry if its wrong
Answer:
D. 180
Step-by-step explanation: multiply
You have 12 gallons of punch. You estimate that each guest will drink 3 cups. Do you have enough punch for 60 guests?
Answer:i got 1 2 3 4 5 6 7 8 shooters ready to gun you down
Step-by-step explanation:
Robin hood plans to use a 54 ft ladder to reach the castle window of Maid Marian. Little John, who made the ladder, advised Robin that the angle of elevation of the ladder must be between \displaystyle 55^{of}55 o and \displaystyle 70^{of}70 o for safety. What are the minimum and maximum heights that can safely by reached by the top of the ladder when it is placed against the 50 ft castle wall
Answer:
The minimum height is: 44.24 ft and the maximum is 50.74ft
Step-by-step explanation:
Given
[tex]L = 54[/tex] --- Length of ladder
[tex]55 \le \theta \le 70[/tex]
Required
The minimum and maximum height
The question is illustrated with the attached image:
The height h is calculated using:
[tex]\sin(\theta) = \frac{h}{54}[/tex] --- sine equation
When [tex]\theta = 55[/tex], we have:
[tex]\sin(55) = \frac{h}{54}[/tex]
Make h the subject
[tex]h = 54 * \sin(55)[/tex]
[tex]h = 54 * 0.8192[/tex]
[tex]h = 44.24ft[/tex]
When [tex]\theta = 70[/tex], we have
This gives:
[tex]\sin(70) = \frac{h}{54}[/tex]
Make h the subject
[tex]h = 54 * \sin(70)[/tex]
[tex]h = 54 * 0.9397[/tex]
[tex]h = 50.74ft[/tex]
The minimum height is: 44.24 ft and the maximum is 50.74ft
Simplify the following expression
7-5/6.7-7/6
One box holds six eggs. If the farmer has 594 eggs, how many boxes of eggs does he have
Divide total eggs by number of eggs per box:
594 / 6 = 99
They has 99 boxes of eggs.
Answer:
594÷6=99
Step-by-step explanation:
YOU DIVIDE THE SUM OF EGGS AND THE NUMBER OF BOX HOLDING
Determine the length of DE.
Please help ASAP math question
Answer:
2/3
Step-by-step explanation:
You divide the numerator and denominator by 8
Which one was the answer A,B,C or D?
Answer:
A
Step-by-step explanation:
i feel like i have the answer, i’m just not sure and need someone else to help me so i can check it.
Answer:
5
Step-by-step explanation:
2/6=x/15
cross multiply
6x=30
x=5
what is the AREA of the buildings in Volume city?
Right triangle ABC has hypotenuse AB = 12 and acute angle A = 75°. Find
Leg CB
Answer:
Leg CB = 11.59 unit (Approx.)
Step-by-step explanation:
Given:
ABC is a right triangle
Hypotenuse AB = 12
Acute angle A = 75°
Find:
Leg CB
Computation:
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
Sin 75 = Perpendicular / 12
0.9659 = CB / 12
Leg CB = 11.59 unit (Approx.)
How many solutions does the system of equations have?
Choose the correct response.
O A One. The lines intersect at only one point.
O B. Infinitely many. The lines are the same.
O C Infinitely many. The lines are parallel.
D. None. The lines are parallel.
How to add angle pairs? Pls help
Another submarine's descent can be represented as y=-240x, where y is the elevation and x is the time in hours. How long did it take the submarine to descend to the seafloor 2,100 feet below the surface?
Answer:
8 hours and 45 minutes
Step-by-step explanation:
-2100 divided by -240 = 8.75 or 8 hours and 45 minutes
Plz I need help with this how would I go about solving this I really need the answer today thank you will give brainlest
One day, a restaurant chef reports that 28% of the meals served included chicken. What fraction of the meals served that day included chicken? Write the fraction in simplest form.
Answer:
72%
Step-by-step explanation:
72%+28=100%
PLS HELP AND ANSWER QUICK PLZ
Answer:
X = 90° , Y = 45°, Z = 45°
Step-by-step explanation:
the difference of 17 and 5 times a number (s)
Answer:
(17-5)x
Step-by-step explanation:
the x next to the parenthesis means multiplication
Answer:
17 - 5s
Step-by-step explanation:
difference = minus sign
5 times = 5s
Write the equation of the quadratic function with vertex (7,9) in Vertex
Form.
9514 1404 393
Answer:
y = (x -7)² +9
Step-by-step explanation:
The vertex form of the quadratic equation is ...
y = a(x -h)² + k . . . . . . . . vertex (h, k); vertical scale factor 'a'
If we use a vertical scale factor of a=1, then putting the vertex (h, k) = (7, 9) into the vertex form gives ...
y = (x -7)² +9