Answer:
0.2384 = 23.84% probability that 3 were laser printers.
Step-by-step explanation:
The printers will be chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
20 orders means that [tex]N = 8[/tex]
8 were laser printers, which means that [tex]k = 8[/tex]
Sample of 5 means that [tex]n = 5[/tex]
What is the probability that 3 were laser printers?
This is P(X = 3).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,20,5,8) = \frac{C_{8,3}*C_{12,2}}{C_{20,5}} = 0.2384[/tex]
0.2384 = 23.84% probability that 3 were laser printers.
Which equation matches the graph
Answer:
it is A
Step-by-step explanation:
because there is negative 3 and a positive 9
Suppose we want to formulate a 95% confidence interval for the population proportion and we would like our margin of error to be not greater than 0.04. We have no history with this characteristic, so we have no idea as to what the proportion might be. Conservatively, what is the minimum sample size we should anticipate using? (NOTE: Round up to the nearest whole number)
Answer:
The minimum sample size we should anticipate using is 601.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
We have no history with this characteristic, so we have no idea as to what the proportion might be.
This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What is the minimum sample size we should anticipate using?
This is n for which M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.25[/tex]
Rounding up, 601
The minimum sample size we should anticipate using is 601.
The distance around the outside of an apartment is 0.3 mile. Keira ran 0.1 of the distance during her lunch. How far did she run?
Answer:
0.1
Step-by-step explanation:
What expression is equal to 5,007.992?
Find the difference.7/14−3/14= help
Answer: [tex]\frac{4}{14}[/tex]
Step-by-step explanation:
Let's take the given equation
[tex]\frac{7}{14}-\frac{3}{14}[/tex]
Let's also remember the bottom number (denominator) does not change or go away ever!
So we will subtract the top numbers (numerator) and we will get
[tex]\frac{4}{14}[/tex]
Select the improper fraction that is not equivalent to the whole number 6
18/3
6/1
54/3
54/9
Answer:
54/3=18
Step-by-step explanation:
18/3=6
6/1=6
54/9=6
What is the y- intercept of the line * 3y=5x+12
PLEASEEEEE HELPP
Patty purchased rose bushes and geraniums for her yard. Patty spent $206 on 14
rose bushes and 12 geraniums. The price of a geranium is $5 less than twice the
cost of a rose bush. What is the cost of one rose bush?
9514 1404 393
Answer:
$7
Step-by-step explanation:
Let r and g represent the costs of a rose bush and a geranium, respectively. The given relations are ...
14r +12g = 206
g = 2r -5
Using the second equation to substitute for g in the first equation, we have ...
14r +12(2r -5) = 206
38r -60 = 206
38r = 266
r = 266/38 = 7
The cost of one rose bush is $7.
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
Answer:
t
t
f
t
f
Step-by-step explanation:
i hope po makatulong
7(5+2c)+3c I need help
Answer:
35 + 17c I hope this helps!! Plz give brainliest!!!
Step-by-step explanation:
7(5+2c)+3c
35+14c+3c
35+17c
helppppppppppppppppppppppppppppp
f^-1(x)= -3+^3 squareroot x+4 is the inverse function of f(x)= (x-3)^3 +4 true or false
The three lines shown in the diagram below intersect at the same point. The measures of some of the
angles in degrees are given as...
Answer:
x =16, y = 151.2
Step-by-step explanation:
Since angle 3/5y and angle 12 and angle 42 lies on the same straight line,
[tex] \frac{3}{5} y + 12 + 42 = 180 \\ \frac{3}{5} y = 180 - 12 - 42 \\ \frac{3}{5} y = 180 - 54 \\ \frac{3}{5} y = 126 \\ y = 126 \div \frac{3}{5} \\ = 126 \times \frac{5}{3} \\ = 151.2[/tex]
Since angle 3(x-2) , 3/5y and 12 lies on the same straight line and we know what y is,
[tex]3(x - 2) + \frac{3}{5} y + 12 = 180 \\ 3(x - 2) + \frac{3}{5} (151.2) + 12 = 180 \\ 3(x - 2) + 126 + 12 = 180 \\ 3(x - 2) = 180 - 12 6 - 12 \\ 3(x - 2) = 42 \\ x - 2 = \frac{42}{3} \\ x = 14 + 2 \\ =16[/tex]
PLEASE HELP DUE IN 3 minutes
Answer: 10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
ill mark brainlist plss help
Answer:
170 cm²
Step-by-step explanation:
Formula for the area of a parallelogram is A = bh or area = base times height
10 cm x 17 cm = 170 cm squared
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 9% and the bottom 9%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Answer:
The diameter that separates the bottom 9% is 5.02 millimeters.
The diameter that separates the top 9% is 5.2 millimeters.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.
This means that [tex]\mu = 5.11, \sigma = 0.07[/tex]
Bottom 9%:
The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.34 = \frac{X - 5.11}{0.07}[/tex]
[tex]X - 5.11 = -1.34*0.07[/tex]
[tex]X = 5.02[/tex]
The diameter that separates the bottom 9% is 5.02 millimeters.
Top 9%:
The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.34 = \frac{X - 5.11}{0.07}[/tex]
[tex]X - 5.11 = 1.34*0.07[/tex]
[tex]X = 5.2[/tex]
The diameter that separates the top 9% is 5.2 millimeters.
Question 7 of 10
When you multiply a function by -1, what is the effect on its graph?
A. The graph flips over the yaxis.
O B. The graph flips over the line y= X.
O C. The graph flips over the xaxis.
SUBMIT
Answer:
the answer is c because it is over xaxis
What is the slope of the line perpendicular to a line that contains the points (-5,4) and (-2,4)
Answer:
the slope of the line is: 0
Step-by-step explanation:
4-4=0
-2-5= 3
Can someone help me out with this problem
Answer:
Step-by-step explanation:
I need help! Please show all the steps and work! :)
A rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $3.00 per
square inch. How much is the sheet of metal worth?
Answer:
240$$
Step-by-step explanation:
find the area
A=LW
A=8x10
A=80
80x3=240
1. a) What is the area of this square with sides of 5x4y²?
Identify the vertex of the graph. Tell whether it is a minimum or a maximum.
Answer:
Vertex = (-1, 2)
Maximum
Step-by-step explanation:
The middle point of the graph is at x coordinate -1 and the point is at the top while the graph slopes down so it is a maximum point and not a minimum point.
Good morning help me out thank u
Answer:
25
Step-by-step explanation:
Using the Pythagorean theorem, we need to calculate
15^2+20^2=x^2, which simplifies to:
225+400=x^2,
625=x^2
and since 25^2 equals 625, the answer is AC=25
Help answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D move 6 units to the left and land on -9
Step-by-step explanation:
The dolphin dove down meaning that it went 6 feet below sea level. that would mean -6. If you move 6 spaces to the left, you would land on -9. Hope this helps
Answer:
D. on the number line, move 6 units to the left. End at -9, the Dolphin was 9 feet below sea level
please help!!! and show work!!
Answer:
x = 17
Step-by-step explanation:
area = L x W
45 = (x-2)(x-14)
45 = x² - 14x - 2x + 28
simplify:
x² -16x - 17 = 0
(x + 1)(x -17 ) = 0
x = -1 not applicable
x = 17
Proof:
(17-2)(17-14) = 45
15 x 3 = 45
45 = 45
What is the mean for this list of numbers? 19, 22, 24, 45
Answer:
27.5
Step-by-step explanation:
To find the mean you basically just add all of the numbers then divide by how many there are.
So, for this problem, 19+22+24+45=110
110/4=27.5
Hope this helped!!
which of the following is not a function? ANSWER FAST PLEASE!!!
Answer:
D. cannot be an f(x)=y function.
Step-by-step explanation:
An f(x) = y function has to have a specific property - there can be only one value for the same x - and the value has to be the same every time.
D. gives us all xs equal to 9, but with different ys - hence it cannot be an f(x) = y function (it could be an f(y) = x function though, but I assume that's not "allowed" under the problem statement).
B has two equal xs, but both times y=0, so it doesn't make it an invalid function.
here's my face I just dyed my hair-
Answer:
that looks nice
Step-by-step explanation:
the hair looks cool
Is my answer choice wrong or right?
Answer:
It is correct
Step-by-step explanation:
Gr8 job