Answer:
Step-by-step explanation:
From the given information:
Assuming we have an integer c to represent the components in the stocks.
Thus, the needed probability can be expressed as:
[tex]P(X_1+X_2+ ........ X_c \ge 2000)[/tex]
To break this down, we have:
[tex]P(\sum X_i \ge 2000) = P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )[/tex]
[tex]P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )= P (Z \ge 0.95 ) \ \ \ because \ Z_{0.05} = -1.65 \\ \\ \\ \dfrac{2000-100 n }{\sqrt{n \times 900}} = -1.65 \\ \\ \\ \dfrac{100\ n-2000 }{\sqrt{900n}} = 1.65 \\ \\ 100 n -1.65 \sqrt{900 n }-2000 = 0[/tex]
By solving the equation:
n = 23
Thus, relating to the needed condition; n ≥ 23
The needed number of the components that should be in stock should be at least 23.
A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. In a random sample of 46 bins, the sample mean amount was 49.41 pounds and the sample standard deviation was 3.99 pounds. Construct a 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city. Answer to 3 decimals (a) What is the lower limit of the 92.7% interval
Answer:
The 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city is between 48.135 pounds and 50.685 pounds. The lower limit is 48.135 pounds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 46 - 1 = 45
92.7% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.927}{2} = 0.9635[/tex]. So we have T = 2.1437
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1437\frac{3.99}{\sqrt{45}} = 1.275[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 49.41 - 1.275 = 48.135 pounds
The upper end of the interval is the sample mean added to M. So it is 49.41 + 1.275 = 50.685 pounds.
The 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city is between 48.135 pounds and 50.685 pounds. The lower limit is 48.135 pounds.
38) Your bank account has$82in it when you write checks for$54,$35, and$15. You then deposit $35and $42. How much is in the account? Are you overdrawn
the answer is 55 can you show me how to get that answer.
If you have $82 in your bank account and you write checks for $54, $35, and $15, then the total amount you have written in checks is $54 + $35 + $15 = $104.
So the remaining balance is $82 - $104 = -$22, which means you are now overdrawn.
After you deposit $35 and $42, the new balance will be $82 - $22 + $35 + $42 = $155
So after the deposit, the account balance is $155
It is important to keep track of your bank account balance, if you do not have enough funds in the account and the check you wrote is cashed the bank will bounce the check and incur additional fees.
HELP! Will give branliest!!!
Answer:
the answer is seven units
Suppose f(x) = x3. Find the graph of f(x) - 1
Answer:
Step-by-step explanation:
To obtain the graph of f(x)-1 you only need to move down one unit the graph of f(x). What do you think is the best answer? I think is 4.
Answer: Graph 1
Step-by-step explanation:
need help asap!!!!!!!!!!!!!!!!!!!!
Answer: 1/b^5 (D)
Step-by-step explanation:
Is this a UTHS course I'm seeing?
You're fitting a pipe into an existing fitting. The fitting allows a diameter variance of 0.001". If the interior diameter of the pipe is 0.49" and the pipe thickness is 0.005", What's the maximum allowable pipe diameter? a. 0.496, b.0.501, c. 0.499, d. 0.541
The maximum allowable pipe diameter is given as : 0.501. Option B
How to solve for the diameterFrom the question the interior diameter of the pipe is said to be 0.49
The pipe is said to have the thickness of 0.005 inches.
The exterior diameter of the pipe would be solved as 0.49 + 2 * 0.005
= 0.49 + 0.01
= 0.5
The questions said the variance in the diameter of this pipe is 0.001
Then the maximum allowable pipe diameter would be solved as: 0.001 + 0.5 = 0.501
The diameter of the pipe that is allowable is 0.501
Read more on diameter here:https://brainly.com/question/10907234
#SPJ1
35 - 5² + (2 * 5)² x 3
Answer:
310
Step-by-step explanation:
35 - 5² + (2 * 5)² * 3
Solve inside the parenthesis.
35 - 5² + 10² * 3
Solve the exponents.
35 - 25 + 100 * 3
Solve the multiplication.
35 - 25 + 300
Solve the subtraction.
10 + 300
Add.
310
A population of 2 rabbits grows at the rate of 400% every two months. How many
rabbits are in the population after 1 year?
Answer:
50 rabbits
Step-by-step explanation:
?/2 = 400/100
multiply 2 by 400
2 times 400 = 800
now, divide it by 100
800/100 = 8
every two months = 8 rabits
12 months in a year
12/ 2 equals 6
6 times 8 = 48
+the two begining rabbits
= 50 total rabbits
Anthony wants to buy a CD for $400 that earns 2.5% APR and is compounded
quarterly. The CD matures in 3 years. He will be paid the interest he earns
each quarter. How much interest will Anthony have earned on this CD after
the first quarter?
A. $10.00
B. $3.25
c. $1.25
D. $2.50
Answer:i think A
Step-by-step explanation:
please answer this with work
Answer:
Step-by-step explanation:
-38 + -12x < -200
Answer:
-38 - 12x > -200
x = 13.5 min
Step-by-step explanation:
let x = minutes of the dive
-38 ft - 12 ft/min(x) > -200 ft
-12 ft/min(x) < -162 ft
x > -162/-12 **flip the inequality when you divide by a (-) number
x > 13.5 min
Starting at -38 ft, he has to dive longer than 13.5 minutes to go deeper than -200 ft at a rate of -12 ft/min
I need help, please if you can.
The best price for her to purchase ice cream is given as follows:
D. $49.60 / five gallon tub.
How to obtain the best price?The best price is obtained applying the proportions in this problem, dividing the price by the volume of the cartoon/tub, in ounces.
For item a, the price per ounce is calculated as follows:
3.99/24 = $0.16625 per ounce.
The ratios for the remaining items are given as follows:
Quarts to ounces: 1 quart = 32 ounces.Gallons to ounces: 1 gallon = 128 ounces.Hence the prices for items b, c and d are given as follows:
Item b: 4.8/32 = $0.15 per ounce.Item c: 11/128 = $0.085 per ounce.Item d: 39.6/(5 x 128) = $0.06 per ounce.Due to the lower cost per ounce, the option D represents the best option for her to purchase ice cream.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Consider whether it's wrong or right.
The solution to the equations are
0 ∈ N is False 7/2 ∈ Q is True
√16 ∈ Q' is False π ∈ Q' is True
3/2 ∈ I is False -3 ∈ R is True
0 ∈ I is True -1 ∈ I⁺ is False
( 1 - 3 ) ∈ N is False 8/2 ∈ I is True
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the equation will be
a)
Let the number be A = 0
The number 0 is a whole number , rational number and an integer
0 is not a natural number
So , the equation is False
b)
Let the number be A = √16
The value of A = 4
The number 4 is a natural number , whole number , rational number and an integer
4 is not an irrational number
So , the equation is False
c)
Let the number be A = 3/2
The number 3/2 is a rational number
3/2 is not an integer
So , the equation is False
d)
Let the number be A = 0
The number 0 is a whole number , rational number and an integer
0 is an integer
So , the equation is True
e)
Let the number be A = ( 1 - 3 )
The value of A = -2
The number -2 is a rational number and an integer
-2 is not a natural number
So , the equation is False
f)
Let the number be A = 7/2
The number 7/2 is a rational number
7/2 is a rational number
So , the equation is True
g)
Let the number be A = π
The number π is an irrational number
π is an irrational number
So , the equation is True
h)
Let the number be A = -3
The number -3 is a real number
7/2 is a real number
So , the equation is True
i)
Let the number be A = -1
The number -1 is an integer and real number
-1 is a negative integer
So , the equation is False
j)
Let the number be A = 8/2
The value of A = 4
The number 4 is a natural , whole , integer and rational number
4 is an integer
So , the equation is True
Hence , the equations are solved
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Lupe wrote two different fractions with the same denominator. both fractions were less than 1. can their sum equal? can their sum be greater than 1?
Answer: it depends on the number you took
Step-by-step explanation:
Use cos to solve for a(please no links and show work)
Verena sleeps from 11 p.m. until 9a.m. What fraction of a day does Verena sleep? *
What is the IQR?
a. 20
b. 41
c. 11.5
d. 61
Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and the sides of the cylinder. The diameter of each ball is 13 cm.
Answer:
a. 5177 cm³
b. 3,451 cm³
c. 67%
Step-by-step explanation:
Given:
Diameter of each ball (d) = 13 cm
Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm
Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm
a. Volume of cylinder = πr²h
Plug in the values
Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³
b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)
Plug in the value
Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³
c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100
Plug in the values
= 3,451/5177 × 100
= 66.6602279
≈ 67%
Identify the quotient and the remainder
(24x^3 - 14x^2 + 20x +6)÷(4x^2 - 3x +5)
The quotient is (6x + 1) and the remainder is (-7x + 1).
What is a factor of a polynomial?
We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given A cubic polynomial 24x³ - 14x² + 20x + 6 divided by 4x² - 3x + 5.
So, (24x³ - 14x² + 20x + 6)/(4x² - 3x + 5).
= (4x² - 3x + 5)(6x + 1) + (-7x + 1)/(4x² - 3x + 5) in rhe form N = DQ + R.
The same applies to the division of polynomials.
Learn more about polynomials here : brainly.com/question/2833285
#SPJ1
Help need answer will give brainliest
24is 40% of what number? Use the percent eqation.
Answer:
60
Step-by-step explanation:
40%=0.40
0.4x=24
x=24/0.4
x=60
please help will give brainliest
Answer:
720 ft^2
Step-by-step explanation:
1) find the area of the swimming pool
A = 32 x 16 = 512 ft ^2
2) find the total area
A = 44 x 28 = 1232 ft^2
3) find the area of the deck
A = total area - area of the swimming pool = 1232 - 512 = 720 ft^2
Answer:
512
Step-by-step explanation:
help me please anyone
Answer:
X=3
Step-by-step explanation:
180-105-46=6x+11
6x+11=29
6x=18
x=3
1. Solve for x.
a) 25 + 10(12 - x) = 5(2x - 7)
b) 6 + 2x > 20 or 8+XsO
Answer:
a) x=9
b)x>7 or x≤-8
Step-by-step explanation:
If you invest $20,500 in an account yielding 4.95% interest compounded semi-annually. How much will be in the account after 10 years?
Answer: 33428.15.
Step-by-step explanation:
how to do this so i can do the the rest pls i have to do like 20 more like this
Find the value of b such that the system of equations does not have a solution.
bx - 20y = -11
-6x – 15y = 11
b=
b= 8
Step-by-step explanation:
If we rewrite the 2nd equation, it becomes
15y = -6x - 11 ---> y = (-2/5)x - (11/15)
In order for this system of equations to have no solution, they must have the same slope, i.e., they're parallel to each other. So rewriting the 1st equation,
20y = -bx + 11
---> -b/20 = -0.4 or b = 8
Determine if this is a function.
I did the vertical line test, but I'm still a bit confused.
Answer: This is not a function
Why not?
The input x = 2 leads to more than one output. In this case, it leads to y = 20 and y = 40 simultaneously. This is the reason why we don't have a function. A function is only possible if each input x leads to exactly one y output.
Put another way: we cannot have x repeating any values if we want a function.
Side note: We could have y repeat however. So it's possible to have a function with the two points (1,5) and (3,5).
Order the equations in the order they would cross the y axis (lowest 1 highest 4).
y=7x
y=-0.5x-5
y=4x-12
y=-4x+10
Answer:
y=4x-12, y=-0.5x-5, y=7x, y=-4x+10
Step-by-step explanation:
The last value is the y intercept in slope intercept equations. If there is nothing other than mx, then the y intercept is 0
witch equation is made true by the opposite angles theorem
The option D is correct.Because this equation holds the vertically opposite angle theorem.
What is vertically opposite angle theorem?Vertically Opposite Angles are holds when two lines intersect each other then the opposite angles formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.
How do you find opposite angles?Vertical opposite angles that are opposite each other when two lines cross are also known as vertical angles because the two angles share the same corner. Opposite angles are also congruent angles.The equation of a vertical line is given by x = a or x = -a
Now we find
According to vertical opposite angle
x-8=40-2x
x+2x=40+8
3x=48
x=16
We can find value of x by usng vertical opposite angle.
To learn more about vertically opposite angles visit;
https://brainly.com/question/18045519
#SPJ1
i will give Brainiest if you are right
Answer:
19.5º
Step-by-step explanation:
Every triangle is equal to 180º for all angles. So, you add 33.5 + 127 and subtract the sum by 180.
33.5 + 127= 160.5
180- 160.5 = 19.5
So, the angle F is 19.5º
Hope this helps !!
-Ketifa
Answer:
look at the picture I sent