Answer:
Pvalue of 0.0446 < 0.05, which means that we reject the null hypothesis and accept the alternative hypothesis, that the true mean is larger than the specification.
Step-by-step explanation:
The average weight of a package of rolled oats is supposed to be at most 18 ounces.
This means that the null hypothesis is:
[tex]H_{0}: \mu \leq 18[/tex]
Is the true mean larger than the specification?
Due to the question asked, the alternate hypothesis is:
[tex]H_{a}: \mu > 18[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
18 is tested at the null hypothesis:
This means that [tex]\mu = 18[/tex]
A sample of 18 packages shows a mean of 18.20 ounces with a sample standard deviation of 0.50 ounces.
This means that [tex]n = 18, X = 18.2, \sigma = 0.5[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{18.2 - 18}{\frac{0.5}{\sqrt{18}}}[/tex]
[tex]z = 1.7[/tex]
Pvalue of the test:
Probability of finding a sample mean above 18.2, which is 1 subtracted by the pvalue of z = 1.7.
Looking at the z-table, z = 1.7 has a pvalue of 0.9554.
1 - 0.9554 = 0.0446
0.0446 < 0.05, which means that we reject the null hypothesis and accept the alternative hypothesis, that the true mean is larger than the specification.
How many triangles are there help please
Answer:
35
Step-by-step explanation:
Make sure to count the right triangles the equilateral triangles as well.
What is the total surface area of the following square pyramid?
Answer:
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
Step-by-step explanation:
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Answer:
cheese is good but have you tried your mom
Step-by-step explanation:
Two scuba divers are 20 m apart below the surface of the water. They both spot a shark that is below them. The angle from diver 1 to the shark is 47 degrees, and the angle from diver 2 to the shark is 40 degrees. How far is diver 2 from the shark?
Answer: Approximately 14.647147438893 meters
Round this value however you need.
===============================================================
Explanation:
Refer to the diagram below. The blue horizontal line is the water surface, and just below that are points A and B to represent diver 1 and diver 2 respectively. Point C is the shark's location. The diagram is not to scale. The assumption is that the two divers are at the same depth in the water.
Angle A (also known as angle BAC or CAB) is the angle formed at diver 1's location, which is the 47 degree angle mentioned earlier. Angle B is 40 degrees. This must mean angle C is 180-A-B = 180-47-40 = 93 degrees. Note how A+B+C = 47+40+93 = 180.
The goal is to find the distance from diver 2 to the shark. So we want the distance from point B to point C. In other words, we want the length of segment BC. Since this segment is opposite angle A, we'll refer to this side as lowercase 'a'. The lowercase letters represent side lengths and they are conventionally opposite the uppercase letter angles. So side b is opposite angle B, and side c is opposite angle C.
Here's what we have so far:
side a = unknown = what we want to solve forangle A = 47 degreesside c = 20 meters = distance between the two diversangle C = 93 degreesWe can apply the law of sines to find side 'a'.
a/sin(A) = c/sin(C)
a/sin(47) = 20/sin(93)
a = sin(47)*( 20/sin(93) )
a = 14.647147438893
Make sure your calculator is in degree mode.
The distance from diver 2 to the shark is approximately 14.647147438893 meters. Round this value however you need.
Reds varied directly as yellows and inversely as greens squared. If 400 reds and 40 yellows went with 10 greens, how many reds went with 20 yellows and 5 greens?
Geometry Question, please help! WORTH 20 POINTS
Answer:
zy = 65
Step-by-step explanation:
a full circle is 360*
half of that is 180*
180 - 115 = 65
Which function is linear?
es --
A)
f(x) = 13x] + 4
х
B)
f(x) =
+ 4
3x
f(x) = 3x - 4
D)
f(x) = 13x1 - 4
The answer is C... I just did it and it said it was C!!
Answer:
answer is b bro :)))))))))))))))
what is the slope of any line parallel to the line 9x+4y=7?
Answer:
-9/4
Step-by-step explanation:
First you need to change the equation to slope-intercept form (y=mx+b). To start, you need to get y alone, so subtract 9x on both sides to give you 4y=-9x+7. Next, divide 4 from both sides giving you y=-9/4x +7/4. The slope is the coefficient of x.
There are 16 kilometers in 10 miles how many kilometers are in 5 miles?
Answer:
8 kilometers
Step-by-step explanation:
Write each equation in slope-intercept form.
12y =(8x - 48)/3
Answer:
y=(2/9)x-(4/3)
Step-by-step explanation:
12y=(8x-48)/3
multiply by 3 on both sides
36y=8x-48
divide by 36 on both sides
y=(8/36)x-(48/36)
simplify fractions
y=(2/9)x-(4/3)
Thirty two students try out for the basketball team. There are 5 players on the court during a game and the coach wants three times as many players on the team. How many students will NOT be a part of the basketball team?
Answer:
17
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
Answer:
Tn = 4(-6)^n-1
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
The sequence is a geometric sequence
Tn = ar^n-1
a is the first term
a = 4
r = -24/4 =144/-24
r = -6
Substitute
Tn = 4(-6)^n-1
The Reeds are moving across the country. Mr. Reed leaves 4.5 hours before Mrs. Reed. If he averages 40mph and she averages 60mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed?
Answer:
Mr. Reed DATA:
rate = 40 mph ; time = x hrs ; distance = 40x miles
-----
Mrs. Reed DATA:
rate = 60 mph ; time = x - 3.5 hrs ; distance = 60x - 210 miles
Equation:
40x = 60x -210
-20x = -210
x = 10.5 hrs
x-3.5 = 7 hrs (Mr. Reed's time)
Step-by-step explanation:
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Which is larger, 8 tons or 14,000 pounds?
Answer:
tons pounds
7 14,000
8 16,000
so 8 tons
Step-by-step explanation:
Answer:
8 tons is larger than 14,000 pounds.
Step-by-step explanation:
Here is my explanation:
One ton (same thing as a short ton) is equivalent to 2,000 pounds.
So 8 tons is basically just 2,000 * 8 which is equal to 16,000.
Hope this helps!
The circumference of a circle is 18 pi inches what is the radius in inches of the circle
Please help this is due tonight
HELP ASAP
photo attached
Answer:
D. undefined
General Formulas and Concepts:
Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]
Derivatives of Parametrics: [tex]\displaystyle \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{dx}{dt} = 5[/tex]
[tex]\displaystyle \frac{dy}{dt} = sin(t^2)[/tex]
Step 2: Differentiate
[x Derivative] Basic Power Rule: [tex]\displaystyle \frac{d^2x}{dt^2} = 0[/tex][y Derivative] Trig Derivative [Chain Rule]: [tex]\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot \frac{d}{dt}[t^2][/tex][y Derivative] Basic Power Rule: [tex]\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot 2t^{2 - 1}[/tex][y Derivative] Simplify: [tex]\displaystyle \frac{d^2y}{dt^2} = 2tcos(t^2)[/tex][Derivative] Rewrite: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{2tcos(t^2)}{0}[/tex]Anything divided by 0 is undefined.
Topic: AP Calculus BC (Calculus I/II)
Unit: Differentiation with Parametrics
Book: College Calculus 10e
Suppose that 5% of the time Todd attends a concert twice a month, 40% of the time he attends a concert once a month, and 55% of the time he doesn't attend a concert at all in a given month. What is the expected value for the number of times Todd attends a concert during a month?
Eli's parents open a savings account for when he was born in the account earns compound interest compounded annually how much money will be in Eli's account at age 21
Answer:
Is C.$24 I use the I=Prt
Please evaluate 7/13×8/11
should be in fraction form!
will be marked brailiest
Answer:
56/143 ([tex]\frac{56}{143}[/tex])
Answer:56/143
Step-by-step explanation:
Which of the following points
would be plotted in Quadrant
IV on a coordinate grid?
A. (2,3)
B. (-4,-9)
C. (-9, 3)
D. (5, -6)
WIB
Answer:
D. (5, -6)
Step-by-step explanation:
What is 90 divided by 10
Answer:
9
Step-by-step explanation:
2. Jacquelyn has 50 vocabulary words to study for an exam. She creates a flashcard for each word to study. Day 1 she studies 10 of the flash cards. Day 2 she studies the same 10 cards from the first day along with 5 new cards, for a total of 15 cards. Day 3 she studies the 15 cards she studied on the second day along with 5 new cards, for a total of 20 cards. Jacquelyn continues to increase the number of cards she studies each day by 5.
(a) Write a recursive rule to represent the number of cards Jacquelyn studies on day n.
(b) Write an explicit rule to represent the number of cards Jacquelyn studies on day n.
(c) On which day will Jacquelyn first study all 50 vocabulary cards?
Answer:
Sequence:
10, 15, 20, ...(a) Recursive formula:
a₁ = 10, aₙ = aₙ₋₁ + 5(b) Explicit rule:
aₙ = a₁ + (n - 1)*5 aₙ = 10 + 5n - 5 = 5n + 5aₙ = 5n + 5(c) aₙ = 50, n = ?
50 = 5n + 55n = 45n = 9Day 9
Weird math question.
Answer:
It is 4/11
Step-by-step explanation:
Let x = 0.363636363636
Now as there are two digits repeating immediately after decimal point, we multiply above by 100 and get
100x = 36.363636363636
Now subtracting first equation from second we get
99x = 36
and hence
x = 36/ 99
= (9 × 4) / (9 × 11)
which then equals
= 4/11
Answer:
It is 4/11
Step-by-step explanation:
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
i think its 28.27
Step-by-step explanation:
Step-by-step explanation:
[tex]v \: = \: pi \: \times \: r {}^{2} \: \times h[/tex]
Volume = 3.14×2.25×4 = 28.26 yd³
What is 1/4 divided by 2?
Step-by-step explanation:
1/4 ÷ 2 = 1/8 in fraction form.
Answer:
S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?
Please help me :) I’m down bad
Answer:
$96
Step-by-step explanation:
4/50=.08 which is sales tax rate
1200X.08=$96 sales tax
Solve the expression. 8 + (37-19)
Answer:
26
Step-by-step explanation:
find the missing side of each triangle
Answer and Step-by-step explanation:
To solve this, we have to find x.
To find x, we have to use the Pythagorean theorem.
The Pythagorean theorem is:
[tex]A^2 + B^2 = C^2[/tex]
Where A is a side, B is a side, and C is the hypotenuse.
Plug in the values accordingly.
[tex]6^2 + 8^2 = x^2\\\\\\\\36 + 64 = x^2\\\\\\\\\\100 = x^2\\\\\\\\10 = x[/tex]
The answer is 10 = x.
#teamtrees #PAW (Plant And Water)
I NEED HELP PLZ!!!!!!!
Answer: what's up?
Step-by-step explanation: