Answer:
A sample of 151 cans must be selected.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation of fill volumes is 0.05 ounce.
This means that [tex]\sigma = 0.05[/tex]
How large a sample of cans must be selected to estimate the population mean fill volume with a 95% confidence interval that has a margin of error of 0.008 ounce?
We need a sample of n.
n is found when M = 0.008. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.008 = 1.96\frac{0.05}{\sqrt{n}}[/tex]
[tex]0.008\sqrt{n} = 1.96*0.05[/tex]
[tex]\sqrt{n} = \frac{1.96*0.05}{0.008}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.05}{0.008})^2[/tex]
[tex]n = 150.1[/tex]
Rounding up:
A sample of 151 cans must be selected.
Solve for x if 5^x=200
Answer:
x ≈ 3.29
Step-by-step explanation:
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x = [tex]\frac{ln(200)}{ln(5)}[/tex]
Decimal Form:
x = 3.29202967 … ≈ 3.29 (Round to what the question asks, in this case, I rounded to 2 decimal places)
Answer:
ln200/ln5
Step-by-step explanation:
ln5^x=ln200
xln5=ln200
x=ln200/ln5
Here is my question please help.
What is the value of x?
Answer:
30
Step-by-step explanation:
the 60 degrees can be transferred to the side right next to the 4x. that means 4x+60=180, 4x=120, x=30
I could really use some help with this
Answer:
see explanation
Step-by-step explanation:
f(x + 2) is a horizontal translation of f(x) 2 units to the left
f(x - 2) is a horizontal translation of f(x) 2 units to the right
Given
f(x) = x³ , then
f(x + 2) = f(x + 2)³ is a horizontal translation of f(x) 2 units left
f(x - 2) = (x - 2)³ is a horizontal translation of f(x) 2 units right
I pick a ball from a bag, replace it and then pick
another. I keep doing this until I have chosen 40 balls. If I picked out 12 yellow balls, estimate the probability of not picking out a yellow ball.
Answer:
It should be 50%
Step-by-step explanation:
It should be 50% because there are 12 yellow balls, so it should be 50%.
Hope it helps you
Which of the following is the closest to the value of x
HELP WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
So for answer choice 1, we can confirm it is correct because if we check there are 2 x intercepts (when it hits x-intercept). For answer choice 2, we only see 1 y intercept ( when it hits y-axis). So that can't be right. We'll keep moving and we can see the the maximum (highest point on the graph) truly is (1,2) so that is correct, and the axis of symmetry (if you would fold the graph in half, the point on the x-axis where it would fold) indeed is 1, so we can confirm the answer is B. Hope this helps!
What is the answer to this
Answer:
The answer is x = 8
Step-by-step explanation:
Can someone help me pls
Answer:
16.01
Step-by-step explanation:
sin 88° = 16/x
0.9994x = 16
x = 16.01
The figure below consists of a triangle, a rectangle, and a trapezoid.
What is the area of the figure in square units?
A. 39
B. 37
C. 49
D. 42
Answer:
Area of the figure = 39 square units
Step-by-step explanation:
Find the diagram attached
Area of the triangle = 1/2 * base * height
Base of triangle = 4
Height = 1 + 5 = 6
Area of the triangle = 1/2 *4 * 6
Area of the triangle = 12units²
Area of rectangle = Length * Width
Length = 4
Width = 5
Area of rectangle = 4 * 5
Area of rectangle = 20units²
Area of trapezoid = 1/2(a+b)*h
a and b are the parallel sides
h is the height
a = 2
b = 5
h = 6-4 = 2
Area of trapezoid = 1/2(2+5)*2
Area of trapezoid = 1/2*7*2
Area of trapezoid = 7units²
Area of the figure = Area of the triangle +Area of the rectangle + Area of the trapezoid
Area of the figure = 12 + 20 + 7
Area of the figure = 39 square units
You borrow $600 to buy a canoe. The simple annual interest rate is 5%. You pay off the loan after 4 years of equal monthly payments. How much is each payment?
Answer:
Amount of each payment = $15 each month
Step-by-step explanation:
Given:
Amount borrow = $600
Simple rate = 5% = 0.05
Number of year = 4 year
Payment method = monthly payment
Find:
Amount of each payment
Computation:
Total amount after 4 year = P + PRT
Total amount after 4 year = 600 + (600)(4)(0.05)
Total amount after 4 year = 600 + 120
Total amount after 4 year = $720
Number of total month = 4 x 12
Number of total month = 48
Amount of each payment = Total amount after 4 year / Number of total month
Amount of each payment = $720 / 48
Amount of each payment = $15 each month
Will give brainliest
Find the lateral surface area of
the following cylinder:
3 cm
3 cm
LSA = [ ? ]i cm2
Leave your answer in terms of ri.
Enter the number that goes in the green box.
Answer:
18Step-by-step explanation:
Given,
Radius of the cylinder = 3cm
Height of the cylinder = 3cm
Therefore,
Lateral surface area of the cylinder
[tex] = 2\pi rh[/tex]
[tex] = 2\pi \times 3 \times 3 {cm}^{2} [/tex]
[tex] = 2\pi \times 9 {cm}^{2} [/tex]
[tex] = 18\pi {cm}^{2} [/tex]
Hence,
The required value in the green box will be 18 (Ans)
Answer:
18 pi
Step-by-step explanation:
hop this helps
On a flight,
3/10
of the passengers were children. There were
60 children on the flight. How many passengers were on
the plane?
Answer:
There were 200 passengers on the plane.
Step-by-step explanation:
1. 3/10 of the passengers were children -> 30% of the passengers were children
2. 60 children on the flight 30% of passengers = 60 people
divide by 3 -> 10% of passengers = 20 people
multiply by 10 -> 100% of passengers = 200 people.
A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1 1/4 B) 1 2/3 C) 4 D) 10 (B is not 12/3)
Answer:
The correct option is A:
MAD = 1 + 1/4
Step-by-step explanation:
For a set of N elements {x₁, x₂, ..., xₙ}
The mean is calculated as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the mean absolute deviation is calculated as:
[tex]MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}[/tex]
Here we have the set of 8 elements:
{ 2, 2, 3, 4, 4, 5, 6, 6}
The mean of this set is:
M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4
Then the mean standard deviation is:
[tex]MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8[/tex]
If we simplify this, we get:
MAD = 10/8 = 5/4 = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4
MAD = 1 + 1/4
The correct option is A.
Animals were trapped in a city and later released into the wild. A random sample of the data is provided in the table below.
Animal type Raccoon Skunk Fox
Number of animal 230 140 120
If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included? (3 points)
a
2,500
b
280
c
1,400
d
380
Answer:
c
1,400
Step-by-step explanation:
We take the sample proportion of skunks and estimate for the entire population.
Sample:
140 skunks out of 230 + 140 + 120 = 490 animals.
140/490 = 0.28571428571
If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?
0.28571428571 out of 5000. So
0.28571428571*5000 = 1429
Close to 1400, which means that the answer is given by option C.
can anyone help me with this please! Serious plz lol
I hope this helps you
I need a bit of help on this one.
Jason has two bags with 6 tiles each. The tiles in each bag are shown below:
There are 6 squares labeled with number's going from 1 to 6 from left to right
Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 5 from the first bag and an odd tile from the second bag?
3/6
4/6
3/36
4/36
Answer:
4/36
Step-by-step explanation:
6x6=36/denominator
for second bag we need the highest Expectancies in a questionlike this so it would be 4 but for denominator we dont need highest expectancies we need a correct answer
A can of tuna has a diameter of 4 Inches and a helght of 3 inches. What is the volume of the can of tuna? (Use 3.14 for
TT.)
37.68 in 3
150.72 in. 3
56.52 in 3
113.04 in. 3
Answer:
37.68 Inches cubed (A)
Step-by-step explanation:
The formula for a cylinder is:
πr^2(h)
First, let's find the radius, which is:
4/2 = 2
Now, we can plug in the values:
3.14(2)^2(3)
Do exponents first:
3.14(4)(3)
Multiply left to right:
12.56(3)
Again:
37.68 Inches
So, the answer is:
37.68 Inches cubed (Or A)
Hope this helps!
Janessa is playing a board game with two friends. Using a single die, one friend rolled a four,
and the other friend rolled a three, Janessa needs to roll a number higher than both friends in
order to win the game, and she wants to calculate her probability of winning.
Is the probability of Janessa winning an independent event or dependent event? Why?
O Her probability of winning a dependent event because it does not depend on the results of her
friends' rolls.
Her probability of winning is a dependent event because it depends on the results of her friends' rolls.
O Her probability of winning is an independent event because it does not depend on the results of her
friends' rolls.
O Her probability of winning is an independent event because it depends on the results of her friends'
rolls.
Answer:
it may benright
Step-by-step explanation:
the first one
Answer:
The probability of Janessa winning is an independent event because it is independent of the results of her friends’ rolls.
Step-by-step explanation:
I took the quiz
Select all equivalent options
A. 6
B. 3^2
C. 9
D. 33
Find the slope.
help me find the answer,real answers only!
8 students share 7 oranges. How many oranges does each student get?
Step-by-step explanation:
every student will get 7 slices ....I think si
I need help with this. (15 points)
9514 1404 393
Answer:
min: $65
per hour: $7.50
Step-by-step explanation:
The equation tells you Monica expects her pay to be $65 when she works 0 hours. That will be the minimum.
y = 7.5·0 +65 = 65 . . . for 0 hours
It also tells you the pay is expected to go up by $7.50 if she works 1 hour. That will be her hourly rate.
y = 7.5·1 +65 = 72.5 . . . for 1 hour; an increase of 7.50 over the minimum.
Minimum pay: $65
plus $7.50 per hour
a customer asked for 48 oz of turkey lunch meat and 64 oz of cheese.How many pounds of lunch meat did the customer buy in total
Answer:
in order to get the total you must add add 48 + 64 whereby you get 112
Step-by-step explanation:
the the customer bought 112 pounds of meat hope that helps
If f(x) = x - 4 and g(x) = 3x + 5, find (f + g)(x).
Answer:
(f + g)(x) = 4x + 1
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) = x - 4 + 3x + 5 = 4x + 1
HELP (for the first select answer its “yes” or “no”)
Answer:
No, the sample is too small compared to the size of the shipment.
Step-by-step explanation:
-2/3 over 15 simplfied
Answer:
Hi! The answer to your question is -10
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Can someone help me pls
Answer:
AB = 18
Step-by-step explanation:
tan 45° = 18/AB
1 = 18/AB
AB = 18
Find the measures of the numbered angles in each kite.
Answer:
x = 15
y = 13
Step-by-step explanation:
6x - 4 = 5x + 11
x = 15
4y + 3 + 3y + 86 = 180
7y = 91
y = 13
Simply. Rewrite the expression in the form x^n. x^6/x^8
Answer:
x⁻²
Step-by-step explanation:
[tex]\frac{x^6}{x^8} = \frac{1}{x^2} = x^-^2[/tex]
In the form of xⁿ , the expression is x⁻²
What is an Expression ?An expression is a mathematical statement which consist of variables , constants and mathematical operators.
The expression given is
[tex]\rm \dfrac{x^6}{x^8}[/tex]
By the exponent rule
[tex]\rm \dfrac{a^m}{a^n} = a^{m-n}[/tex]
so,
[tex]\rm x^{6-8}\\x^{-2}[/tex]
Therefore in the form of xⁿ , the expression is x⁻² .
To know more about Expression
https://brainly.com/question/14083225
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