Step-by-step explanation:
of what where is the question
Assume that the weight of cereal in a "12.6 ounce box" is N(µ,0.42). The Food and Drug Association (FDA) allows only a small percentage of boxes to contain less than 12.6 ounces. You collect a random sample of n = 35 boxes and find that the sample mean is 12.8. Test the null hypothesis H0: µ = 13 against the alternative hypothesis HA: µ < 13 at level of significance α = 0.01
Answer:
We reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0}: \mu = 13[/tex]
The alternate hypotesis is:
[tex]H_{a}: \mu < 13[/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.
13 is tested at the null hypothesis:
This means that [tex]\mu = 13[/tex]
N(µ,0.42)
This means that the standard deviation is 0.42, that is, [tex]\sigma = 0.42[/tex]
You collect a random sample of n = 35 boxes and find that the sample mean is 12.8.
This means that [tex]n = 35, X = 12.8[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{12.8 - 13}{\frac{0.42}{\sqrt{35}}}[/tex]
[tex]z = -2.82[/tex]
Pvalue of the test:
The pvalue of the test is the pvalue of z = -2.82.
Looking at the z table, z = -2.82 has a pvalue of 0.0024
0.0024 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.
Owen and Ethan have $175 together. How much money does each of them have if Ethan has $33 more than Owen.
Owen has $
Ethan has $
Answer:
Owen has $71 and Ethan has $104
Step-by-step explanation:
Create a system of equations where o is how much money Owen has, and e is how much Ethan has
x + e = 175
e = x + 33
Solve by substitution by plugging in o + 33 in as e, in the first equation
o + e = 175
o + (o + 33) = 175
2o + 33 = 175
2o = 142
o = 71
So, Owen has $71 dollars
To find how much Ethan has, add 33 to this, since he has $33 more than Owen
71 + 33
= 104
So, Owen has $71 and Ethan has $104
A family decides to put tiles in the entryway of their home. The entryway has an area of 7 square meters. If each tile is 5 centimeters by 5 centimeters, how many tiles will it take to cover the entryway?
It will take ______ tiles to cover the entryway.
9514 1404 393
Answer:
2800 tiles
Step-by-step explanation:
Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...
(7 m²)/(0.0025 m²/tile) = 2800 tiles
It will take 2800 tiles to cover the entryway.
Can someone answer this.
Answer:
The first choice
Step-by-step explanation:
Round the nearest hundredth. 53.789
Answer: 53.79
Step-by-step explanation:
a2 + b ÷ 3= helpppppppp mmmmmeeeeeeeee! pls
Answer: 2a/3 + b/3
Since it has two different variables, there is no final answer. To find the answer, you must first expand the equation and then apply the fraction rule.
1.4
2
Lawrence wants to drive from Durban to Johannesburg 550 km. if he travels at
an average speed of 100 km/hr, how long does he tale to get there?
If he leaves at 08:42 what time will he arrive at his destination
1.5
2
Answer:
5 hr 30 minutes
2:12 pm
Step-by-step explanation:
s= 550km
v = 100km/hr
t = ?
SPEED = DISTANCE/ TIME TAKEN
or, v = s/t
or, 100km/hr = 550km/ t
or, t = 550/100
t = 5.5
t = 5 hrs 30 minutes
8:42
+5:30
13 :72
which is 14 :12 = 2 :12
Please help please help please help
I need help on number 26
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
Drag the number to each box to match the expression on the left to its estimate
Answer:
1 - 1/2
2 - 1
3 - 0
Step-by-step explanation:
PLEASE ANSWER THE PIC BELOW
Answer: 11
Step-by-step explanation:
Since the equation of circumference is 2(r)pi
if 22pi=2(r)pi
then 22=2r
22=2r
r=11
Find the volume of the sphere below. Leave your answer in terms of pi.
Answer:
C) 972π
Step-by-step explanation:
Volume of a sphere formula:
V = 4/3πr³
Given:
r = 9
Work:
V = 4/3πr³
V = 4/3π9³
V = 4/3(729)π
V = 972π
plsssssssssssssssss help
Answer:
x = 7
Step-by-step explanation:
Find the point on the graph that has the y-value of 8. Determine its x-value.
Can Someone Please Help Me. ?
Answer: I think its A?
Step-by-step explanation:
What will the function f(x) = x² look like translated 3
units right and 8 units down?
Answer:
it will look the same, just shifted.
Step-by-step explanation:
The parabola will be the same shape, size, etc., it will simply be in a different location. Instead of the bottom of the parabola being at (0,0), it will be at (3, -8). translated right 3, down 8.
A bag contains 2 yellow, 12 red, and 6 green marbles. What is the probability of selecting 1 yellow marble, not replacing it, then selecting a green marble
Without replacement is very important
I need help with this question.
What is the approximate circumference of the circle?
A: 1.57 m
B: 157 m
C: 314 m
D: 3.14 m
Answer:
c=2pie r
2*3.14*0.5
=3.14
option d
Find the volume of a cylinder that has a radius of 1/2and a height of 1.
Answer:
0.79
Step-by-step explanation:
plz hurry Cari is 3 years older than her brother Mark. Write Cari's age (c) as a function of Mark's age (m) and determine how old Cari will be when Mark is 15.
(A) c = m + 3; 18 years old
(B) c = m − 3; 12 years old
(C) m = c + 3; 12 years old
(D) m = c − 3; 18 years old
Answer:
A
Step-by-step explanation:
Because she is 3 years older then her brother you would be adding 3 to the age to get cari's age
What is the mode of the data set?
A. 90
B. No mode
C. 85.5
D. 49
Hurry and give a SERIOUS answer! Will give brainliest.
Answer:
mode is the number listed most often and data can have more then 1 mode
the numbers most listed in the image are: 5 and zero
Step-by-step explanation:
I hope this helped!
Answer:
90
Step-by-step explanation:
mode = A number that appears most often is the mode.
Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.
A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!
B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A
THANK YOU!!
Answer:x=18
Step-by-step explanation:
if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V
Solve the system of equation
Answer:
x = 0
y = 1
z = -4
Step-by-step explanation:
6x + 4y + 1z = 0 => z = -6x -4y
If 12x - 4y - 5z = 16, then
12x - 4y - 5(-6x - 4y) = 16
12x - 4y + 30x + 20y = 16
42x + 16y = 16 => 21x + 8y = 8
then y = (8 - 21x)/8
if -24x - 4y + 5z = -24
-24x - 4y + 5(-6x -4y) = -24
-24x - 4y - 30x - 20y = -24
-54x - 24y = -24 => -9x - 4y = -4
substitute y = (8 - 21x)/8
then -9x - 4(8 -21x)/8 = -4
-9x - 1/2(8 -21x) = -4
times 2 in both side
-18x - (8 - 21x) = -8
-18x - 8 + 21x = -8
3x = -8 + 8
3x = 0
x = 0
then y = (8 - 21x)/8 = (8 - 21(0))/8 = (8 - 0)/8 = 8/8 = 1
then z = -6x -4y = -6(0) - 4(1) = 0 - 4 = -4
Hope this helps
Which segment is the MEDIAN of the triangle?
Answer:
R
Step-by-step explanation:
Convert 80 liters into gallons. Round your answer to the nearest tenth.
Answer:
21.13 US gallons
Step-by-step explanation:
. _ .
Answer:
21.1338 rounded to the nearest tenth is 21.10
Step-by-step explanation:
Help please question in picture
Answer:
10 units squared
Step-by-step explanation:
[tex]4(5)=20[/tex]
[tex]\frac{20}{2}=10[/tex]
The hypotenuse of a 30°-60°-90° triangle is 6.
A. Find the lengths of the two legs of the triangle.
B. Find the perimeter.
Answer:
H=6 sin 30=3cm
Step-by-step explanation:
3²+x²=6²
X²=36-9
√x²= 27
X=5.1962
Per=6+5.1962+3= 15.1962cm
geometry multiple choice
(will mark brainliest)
Pls help with this problem. This is due today!
Answer:
2.8 > 2.8< i think
Step-by-step explanation:
Factor out the common factor in -45 + 81n + 90n^2
A: I think it’s 9(−5+9n+10n2)
Step-by-step explanation:
If a 12-sided fair die is rolled twice, find the probability that both rolls have a result of 8.
Answer:
1 in 144
Step-by-step explanation:
There is one 8 on a 12-sided die, so the probability of rolling an 8 once is [tex]\frac{1}{12}[/tex].
We are rolling twice, so [tex](\frac{1}{12})^{2} =\frac{1}{144}[/tex].