Using the normal distribution and the central limit theorem, it is found that his risk is of 0.0456.
In a normal distribution 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]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 20 ounces and standard deviation of 2 ounces, hence [tex]\mu = 20, \sigma = 2[/tex].Sample of 4 packages, hence [tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]The risk is the probability of being more than 2 ounces from the mean, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Applying the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2}{1}[/tex]
[tex]Z = 2[/tex]
The risk is P(|Z| > 2), which is 2 multiplied by the p-value of Z = -2.
Looking at the z-table, Z = -2 has a p-value of 0.0228.0.0228 x 2 = 0.0456
The risk is of 0.0456.
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I need help with these. I have no idea how to find the answer for them. My teacher told me the first one was 136 but she didn’t explain how to find the answer or anything. Can someone please explain how you get the answers step by step & not just give them to me. Thank!
Answer:
136
55
53
70
Step-by-step explanation:
1) here x and 136 are alternate interior angles and they are equal
2) here x and 125 lie on the same straight line
so x + 125 = 180
x = 55
3) here 53 and x are corresponding angles and they are equal
x = 53
4) for this see picture below
side angle to 110 becomes x because of corresponding angles
and as this x and 110 lie on same line
x + 110 = 180
x = 70
Answer:
A) If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line. And when 2 lines crosses, the opposite angles are the same.
B) x is 180° - 125° = 55°
C) x is 53° (If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line.)
D) x is 180° - 110° = 70°
40 is a multiple of with number . 6,11,8,15
Answer: 8
Step-by-step explanation: 8 * 5 = 40
The rest don't work.
Would appreciate brainliest <3
Answer:
8
Step-by-step explanation:
You can do 8 *5
Triangle PQR has coordinates P (0, 0), Q (-4, 0), and R (0, 2). If ΔPQR ≅ ΔXYZ, what is the measure of XY?
A) 1 units
B) 2 units
C) 3 units
D) 4 units
Given that ΔPQR and ΔXYZ are congruent triangles, the measure of XY is: D) 4 units
Recall:
Congruent triangles have pairs of congruent angles and congruent sides.Distance between two vertices can be calculated using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Given ΔPQR ≅ ΔXYZ, therefore, PQ = XY.
Find the distance between P(0, 0) and Q(-4, 0) using[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]PQ = \sqrt{(-4 - 0)^2 + (0 - 0)^2}\\\\\mathbf{PQ = 4 $ units}[/tex]
Since ΔPQR ≅ ΔXYZ, therefore the measure of XY is: D) 4 unitsLearn roe about congruent triangles on:
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Answer:
4 units
Step-by-step explanation:
Ill reward you a bounty of 100 points! plus brainiest if you are the first one to answer my question:
Part 1
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.
Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.
Part 2
Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing.
Part 3
Solve the question that you posed in Part 1. Show all of your steps in answering the question.
For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps.
*Please note that your instructor is looking for your own original idea. While it is acceptable to use the Internet for research and inspiration, academic integrity policies apply.
Answer:
The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht
Recall:
Pythagorean Theorem applies to a right triangle where and c is the hypotenuse.
If we know the two of the three side lengths of a right triangle, we can find the other third length.
An example of a scenario where the Pythagorean Theorem can be applied to solve a real-world problem can be sketch in a diagram
Therefore:
The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht
Step-by-step explanation:
#Nova
Have a good day
Triangle PIN is rotated -270 degrees about the origin.
Draw the image of this rotation.
If triangle PIN is rotated -270 degrees about the origin, the new point is at:
P'(-3, 2), I'(7, 7) and N'(7, -2)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is rotated -270 degrees about the origin, the new point is at A'(-y, x).
The triangle PIN has vertices at P(2, 3), I(7, -7) and N(2, -7). If it is rotated -270 degrees about the origin, the new point is at:
P'(-3, 2), I'(7, 7) and N'(7, -2)
Find out more at: https://brainly.com/question/11707700
Answer:
P=(-3,2)
I=(7,7)
N=(7,2)
Step-by-step explanation:
khan
Please help me and
explain how you got the answer
Answer:
x = 7°
Step-by-step explanation:
∠WST is an exterior angle of the triangle
The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles
Solve:
(5x - 1) + (57) = (12x + 7)
5x - 1 = 12x - 50
-1 = 7x - 50
49 = 7x
x = 7
-Chetan K
Emma has addressed seven invitations to her
birthday party. This is one more than half of the
invitations that she intends to send. How many
invitations does she intend to send?
Answer:
12
Step-by-step explanation:
This can be solved by working backwards.
7 is one more than half the number of invitations.
Subtract 1. 6 is half the number of invitations.
Double.
12 is the full number of invitations.
Algebra (if you must!):
x = number of invitations
x/2 + 1 = 7
Subtract 1.
x/2 = 6
Multiply by 2.
x = 12
Answer:
12
Step-by-step explanation:
7-1=6
6x2=12
you plan to purchase a plane ticket $299.00and you are going to use a discount code to receive 15% off
Answer: The answer is $254.15
When using a(n) _____ join, only rows from the tables that match on a common value are returned.
When you using an Inner Join, rows from table that match a common value are the only ones returned.
In SQL server, of we can create a new table by combining rows that have values that match in two or more tables by using an inner join clause.
Logically, this is used to retrieve data from tables that have a common field or appears to have data in both tables.
The diagram below shows the data retrieved using Inner Join in SQL Server which is represented by the part in black.
Therefore, when you using an Inner Join, rows from table that match a common value are the only ones returned.Learn more about Inner Join on:
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What is the sale price?
30 pts
Answer:
Sales Price = $8.75
Step-by-step explanation:
Original Price - Discount = Sale Price
=> 12.50 - 3.75 = Sales Price
=> Sales Price = $8.75
Hoped this helped.
Gabriella drove to her friend's house and
back. The trip there took six hours and the
trip back took five hours. She averaged
60 km/h on the return trip. Find the
average speed of the trip there.
She drove 5 hours back at a rate of 60 km/h. Total distance on the way back was 5 x 60 = 300 km
The trip there would be 300 km and she drove for 6 hours
Average speed = 300 km / 6 hours = 50 km/h
Answer: 50 km/h
an angle measuring between 90 and 180 is called__
Answer:
A) obtuse angles
Step-by-step explanation:
Options:
A.obtuse
B.acute
C.straight
D.small
Correcr Answer A) obtuse
(Hope this helps can I pls have brainlist (crown)☺️)
How to divide with decimals in the divisor.
Answer:
Step-by-step explanation:
Move the decimal point in the divisor and dividend. Turn the divisor (the number you’re dividing by) into a whole number by moving the decimal point all the way to ...
Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.
Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place. ...
Please help me with this homework
Answer:
C.
Step-by-step explanation:
Open circles mean < > not ≤ ≥. and the direction the line goes determines which symbol is used. the line goes up from -2 so its greater than -2 and down from 5 so less than 5
Christopher recorded the low temperature each day for 1 week and recorded his results in this table.
Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Low −5°F −8°F −6°F −8°F −3°F 2° F 7° F
What is the average low temperature for the week?
-3^F
Hope this helps!!
some one please help
Answer:
i can't see the photo
Step-by-step explanation:
pleas send it again
Answer:
Step-by-step explanation:
f(x) = 3-x/5
Explanation:
The inverse of a function completely swaps the x and y values. One way to find the inverse of a function is to switch the "x" and "y" in an equation
y=3x -5
turns into
x = 3y+5
Then solve the equation for y
x=3 y- 5
x+5 = 3y
the divide all by three
1/3x + 5/3 =y
f ( x ) − 1 = 3/1 x + 5/3
Hey y’all I don’t understand, can you help me pls ASAP and show steps if u could
Answer:
(x, y) = (-2, -6)
Step-by-step explanation:
Learn more at https://brainly.com/question/15168004
julio bought 4 pounds of carrot sticks and 3 pounds of celery sticks for the school potluck. he had 6 bowls for serving vegetables. he wants to put an equal amount of carrots and celery in each bowl. how many pounds of vegetables would be in each bowl
Answer:2
Step-by-step explanation: 4 times 3 equals 12 and 12 divided by 6 is 2
There are 1(1/6) pound of vegetables in each bowl.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of bowls = 6
Number of carrot sticks = 4 pounds
Number of celery sticks = 3 pounds
The number of carrots in each bowl.
= 4/6
= 2/3 pounds
The number of celery sticks in each bowl.
= 3/6
= 1/2 pounds
The number of pounds of vegetables in each bowl.
= 2/3 + 1/2
= (4 + 3)/6
= 7/6
= 1(1/6) pounds
Thus,
There are 1(1/6) pound of vegetables in each bowl.
Learn more about expressions here:
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Suppose that you invest $15,000 into a high yield savings account that earns 2.1\% annual interest and is compounded monthly. If you do not deposit or withdraw any money from the account, how much money will be in the account after 8 years? Show your equation. Round your answer to the nearest cent. (5 Points )
Answer:
$17741.44Step-by-step explanation:
Given:
Investment P = 15000Interest rate r = 2.1% PA or 0.021 PACompound number n = 12 PATime t = 8 yearsFind the total amount:
A = P(1 + r/n)^(rn)A = 15000(1 + 0.021/12)^(8*12) = 17741.44What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
slope= 1/4
Step-by-step explanation:
8-5 over 8-(-4)= 3/12=0.25 = 1/4
PARALLEL PERPENDICULAR OR NEITHER
Answer: maybe: perpendicular
Step-by-step explanation:
3+14 multiplied by a number X
Answer:
x(3+14)
Step-by-step explanation:
That is how you would write that expression.
PLEASE HELPPPPPPP
The maimum or minimum is also called the extreme value of the equation. What are the coordinates of the extreme value on your graph. use the pointer tool of needed.
I attached the graph to the question.
Answer:
the answer would be 1,-8
f(x) = 3.2 +5 +6
g(x) = 7
Find (f + g)(x).
A. (f+g)(x) = |3x+11| +7
B. (f+g)(x) = |3x+18|
C. (f+g)(x) = |3x+5| + 13
D. (f+g)(x) = |3x| +18
Answer:
A
Step-by-step explanation:
f (x)=3x+5+6
g (x)=7
(f+g)(x)=|3x+5+6|+7
=|3x+11|+7
If RS=x+5 and HJ + Lk = 4x+6, find RS
Factorize: (x+4)2 - (x- -3)2
Answer:
2
Step-by-step explanation:
What are vented rotors? When are they used?
Answer:Vented Brake Rotors are common on most modern vehicles. They have a hollow channel between the inner and outer surfaces. This channel (or vent) allows the rotor to shed more heat. This helps to prevent Brake Fade
Step-by-step explanation:
Mary places a 15-foot ladder against her house. The base of the ladder is 3 feet from her house How high up to the nearest tenth of a foot, the ladder reach on Mary's house?
taking math test plz help
Answer:
Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12
2
+
x
2
=
15
2
⇒
x
2
=
15
2
−
12
2
=
81
⇒
x
=
√
81
=
9
ft
The base of the 15-foot ladder should be set back from the wall by x feet in order for it to precisely reach the top of a 12-foot wall.
What is nearest tenth?The decimal number can also be rounded to the nearest tenths place value. The first number that appears after the decimal point is the tenth place value. Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value.
The tenths digit stays the same if it is 4 or less. The hundredths place digit, 8, is greater than or equal to 5, so 3.58 can be rounded to 3.6. Due to the fact that the digit in the hundredths place, 2, is less than 5, 3.32 would be rounded to 3.3.
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What’s the algebraic expression for this
tn tv
1. 1
2. 3
3. 6
4. 10
5. 15
Someone plz help me
Answer:
1 3 6 10 15
Step-by-step explanation:
brainliest plz
Corey concluded that the remainder of (3x3 + 8x2 - 4x - 3) + (x + 2) is 45.
What error did he make?
Answer:
-8
Step-by-step explanation:
3×3=9+
8×2=16=
(9+16_4×-3)+(×