Answers
Answer:
Option 1
Step-by-step explanation:
Related Questions
Write the equation of the quadratic function with vertex (7,9) in Vertex
Form.
Answers
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
The coordinates of three vertices of a rectangle are (-4, 1), (-1, 3), and (-4, 3). Which of these points is the fourth vertex?
Answers
Answer:
The answer is (-1, 1)
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.
Answers
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".
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
Answers
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
PLS ANSWER ASAP THANKS
Answers
x = 95°
The angles are vertically opposite so they are equal.
22 is what percent of 40?
what is 35% of 60?
Answers
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]
Determine the length of DE.
Answers
Plug it in-
3*3=9
4*4=16
9 + 16 =25
Find the square root of 25 which brings the answer to 5 :)
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
Answers
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
i feel like i have the answer, i’m just not sure and need someone else to help me so i can check it.
Answers
Answer:
5
Step-by-step explanation:
2/6=x/15
cross multiply
6x=30
x=5
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.
Answers
What is the measure of the third angle in the yellow triangle?
Answers
Answer:
54
Step-by-step explanation:
66+60=126
180-126=54
How to add angle pairs? Pls help
Answers
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?
Answers
Answer:
8 hours and 45 minutes
Step-by-step explanation:
-2100 divided by -240 = 8.75 or 8 hours and 45 minutes
what is the AREA of the buildings in Volume city?
Answers
PLEASE HELP
A family originally bought a home for $712,980. Now, a few years later, the home is
worth $1,180,627.70. What was the percent of increase in its value? (Round your answer to
the nearest whole number.)
Answers
Answer:
86
Step-by-step explanation:
Which expression is equivalent to (3^2)^-2
?
Answers
Answer:
I think the answer is 2\9
Step-by-step explanation:
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?
Answers
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.
You have 12 gallons of punch. You estimate that each guest will drink 3 cups. Do you have enough punch for 60 guests?
Answers
Answer:i got 1 2 3 4 5 6 7 8 shooters ready to gun you down
Step-by-step explanation:
Please help ASAP math question
Answers
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?
Answers
Answer:
A
Step-by-step explanation:
step by step
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
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"
One box holds six eggs. If the farmer has 594 eggs, how many boxes of eggs does he have
Answers
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
Simplify the following expression
7-5/6.7-7/6
Answers
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.
Answers
Answer:
72%
Step-by-step explanation:
72%+28=100%
the difference of 17 and 5 times a number (s)
Answers
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
PLS HELP AND ANSWER QUICK PLZ
Answers
Answer:
X = 90° , Y = 45°, Z = 45°
Step-by-step explanation:
Right triangle ABC has hypotenuse AB = 12 and acute angle A = 75°. Find
Leg CB
Answers
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.)
Plz I need help with this how would I go about solving this I really need the answer today thank you will give brainlest
Answers
y=13-4
y=11
3x-1=2x
3x-2x=1
1x=1
x=1
3z=63
z=63/3
z=21
Good luck.
PLS HELP
Cindy wants to sell 300 shares of a company’s stock at the market price of $25 per share. She looks up online brokers and the fees they charge. Arrange the brokers’ fees in order from least to greatest.
(i looked at other brainly answers to this question and they were all different to each other like there were 3 diff answers)
Answers
Answer:
Step-by-step explanation:
It's in the same order, from broker 1 down to broker 5. Straight up
Answer:
Broker E
|
V
Broker C
|
V
Broker D
|
V
Broker B
|
V
Broker A
HELP PLS! BRAINLIEST WILL BE GIVEN
Answers
Answer:
Might be C
Step-by-step explanation: