Answer:
(a) 0.5282
(b) 0.4718
Step-by-step explanation:
It is provided that the shipment is accepted if not more than 1 of the 5 keyboards is defective. That is for the shipment to be acceptable there should be at most 1 defective .
It is also provided that the box selected has 6 defective keyboards.
So, the probability of selecting a defective keyboard is, p = 6/20.
Let X = number of defective keyboards.
The random variable X follows a binomial distribution with parameters n = 6 and p = 6/20.
(a)
Compute the probability that this shipment will be accepted as follows:
[tex]P(X\leq 1)=P(X=0)+P(X=1)[/tex]
[tex]=[{5\choose 0}(\frac{6}{20})^{0}(1-\frac{6}{20})^{5}]+[{5\choose 1}(\frac{6}{20})^{1}(1-\frac{6}{20})^{4}]\\\\=0.16807+0.36015\\\\=0.52822\\\\\approx 0.5282[/tex]
Thus, the probability that this shipment will be accepted is 0.5282.
(b)
Compute the probability that this shipment will not be accepted as follows:
P (shipment not accepted) = 1 - P(shipment accepted)
= 1 - 0.5282
= 0.4718
Thus, the probability that this shipment will not be accepted is 0.4718.
Which expression is equivalent to (cd)5
Answer:
A
Step-by-step explanation:
Use the formula p=le^kt. A bacterial culture has an initial population of 500. If its population grows to 7000 in 2 hours, what will it be at the end of 4 hours
Answer:
98,000 bacteria.
Step-by-step explanation:
We are given the formula:
[tex]P=le^{kt}[/tex]
Where l is the initial population, k is the rate of growth, and t is the time ( in hours).
We know that it has an initial population of 500. So, l is 500.
We also know that the population grows to 7000 after 2 hours.
And we want to find the population after 4 hours.
First, since we know that the population grows to 7000 after 2 hours, let's substitute 2 for t and 7000 for P. Let's also substitute 500 for l. This yields:
[tex]7000=500e^{2k}[/tex]
Divide both sides by 500:
[tex]e^{2k}=14[/tex]
We can solve for the rate k here, but this is not necessary. In fact, when can find our solution with just this.
Let's go back to our original equation. We want to find the population after 4 hours. So, substitute 4 for t:
[tex]P=500e^{4k}[/tex]
We want to find the total population, P. Notice that we can rewrite our exponent as:
[tex]P=500(e^{2k})^2[/tex]
This is the exact same thing we acquired earlier. So, we know that the expression within the parentheses is 14. Substitute:
[tex]P=500(14)^2[/tex]
Square and multiply:
[tex]P=500(196)=98000[/tex]
So, after 4 hours, there will be 98,000 bacteria.
And we're done!
what is the square root of 27000
Answer:
164.316767252
Step-by-step explanation:
Answer:
164
Step-by-step explanation:
There are 3 students in the class and 27 apples. If the apples are divided equally among the students, how many does each student get?
Answer:
9 apples.
Step-by-step explanation:
27/3=9
A teacher keeps track of the number of students that participate at least three times in an optional study session each year. He models the attendance over the last nine years with this function.
n(t) = 3.53t^2 - 33.04t + 117.56
Which graph would most likely be associated with the given model?
Regression equations can be linear, quadratic or exponential
The graph that would most likely be associated with the given model is (b)
The regression equation is given as:
[tex]n(t) = 3.53t^2 - 33.04t + 117.56[/tex]
The above regression equation is a quadratic function (and non-linear).
So, the graph must represent a non-linear relationship.
From the given graphs, only graph (b) represents a quadratic function.
Other options are either linear models or exponential.
Hence, the graph that would most likely be associated with the given model is (b)
Read more about regression models at:
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Answer:
Its B
Step-by-step explanation:
PLEASE HELP 40 POINTS!!! For what value of x is line a parallel to line b?
Enter your answer in the box.
x =
Answer: 22
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Don't worry, don't worry child. Oh, geometry. How lucky are you: finally knowing this treasury of humanity. I'm jealous now. Haha.
In the annex, you can see what is happening :)
Look that, if a and b are paralels, 4x + 28 is External Alternate of the Opposite Vertex of 116, which is also 116. Then, they have the same value: 4x + 28 = 116.
If you don't remember those concepts, review the initial part of geometry. The proof of that is quite simply, moreover is easy to mentally deduce that.
The sales tax on a pair of jeans is 7%. if juan paid $3.15 in tax, what was the cost of the jeans before tax?
Answer:
2.93
Step-by-step explanation:
3.15×7/100=0.2205
3.15-0.2205=2.9295
The cost of the jeans before tax $2.9295
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100."
For given example,
Let 'a' be the original price of the jeans.
Let 'b' be the price of the jeans with tax.
then, b = a + tax
Juan paid $3.15 in tax for the jeans.
The sales tax on a pair of jeans is 7 percent.
First we find the tax on a pair of jeans.
⇒ tax = b × 7%
⇒ tax = 3.15 × (7/100)
⇒ tax = $0.2205
We need to find the cost of the jeans before tax.
Here, b = $3.15, tax amount = $0.2205
⇒ b = a + 0.2205
⇒ 3.15 = a + 0.2205
⇒ a = 3.15 - 0.2205
⇒ a = $2.9295
Therefore, the cost of the jeans before tax $2.9295
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PLEASE HELP!!! ILL GIVE BRAINLIEST THIS IS WORTH 20 POINTS PLEASE (ignore where it says 8 &2 points it’s how much the question adds up to in the grade book)
Answer:
x= -3 is the answer
UW=3 is the answer..
hope it helps you mate
please mark me as brainliast
Answer:
From the given figure, we can see that the 2 given line segments are equal in length
Hence,
11 + (x - 5) = 2x - 4
6 + 4 = x
x = 10
Now that we know the value of x, we can use it to get the length of the line segment UW
UW = 11 + (x - 5)
UW = 11 + (10 - 5)
UW = 11 + 5
UW = 16 units
4. What is the slope of the line that contains the points (-6,1) and (4,-4)? A. 2 B. -2 C. 1 2 a 1 D. 2
Answer:
It would be -[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use the slope formula to find the slope m.
Rewrite 38/7 as a mixed number. 5 3/7 3 8/7 3 7/8 5 4/7
Answer:
5 3/7
Step-by-step explanation:
Answer:
let's see what to do
Step-by-step explanation:
[tex] \frac{38}{7} = \frac{35 + 3}{7} = \frac{35}{7} + \frac{3}{7} = 5 + \frac{3}{7} \\ [/tex]
End....
thanks for watching ♥️♥️♥️♥️♥️.
Find the midpoint of the segment with the endpoints: (-2, 6) and (-3, 7)
Answer:
The midpoint is ( -2.5, 6.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-2+-3)/2 = -5/2 = -2.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(6+7)/2 = 13/2 = 6.5
The midpoint is ( -2.5, 6.5)
What is factorise 5y - 10
Answer:
5(y - 2)
Step-by-step explanation:
What is the GCF (Greatest Common Factor) for 5y and -10? It is 5 so you take 5 out of 5y and 5 out of -10. You put the 5 outside of the parentheses and put y - 2 inside of the parentheses. That is how you factorize 5y - 10
The factorized form of 5y - 10 is 5(y - 2).
What is factorization?Factorization in mathematics is the process of dividing a large number into smaller ones that when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.
When we are asked to factorize an expression, we are essentially trying to write the expression as a product of simpler expressions. In this case, we want to write 5y - 10 as a product of simpler expressions.
One way to approach this is to look for a common factor that is present in both terms of the expression.
In this case, we can see that both 5y and 10 are divisible by 5. Therefore, we can factor out the greatest common factor of the two terms, which is 5.
When we factor out 5 from 5y and -10, we are left with:
5y - 10 = 5(y - 2).
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The sales in thousands of dollars that Terrific Toys makes during one month can be approximated by the functions S(x)=2x³-2x²+4x, where x represents the number of days after the first day of the month. About how many days will it take the store to make $50,000?
Answer:
The days will it take the store to make $50,000 in a whole number are:
30 days.Step-by-step explanation:
Remember that x represents the number of days, so, you must replace different values in the formula until you obtain a value of $50,000, in this form:
S(x)= 2x³-2x²+4xS(1)= 2*1³-2*1²+4*1S(1)= 4 ($4).So, I'll show you that the value that you need is 30 in a whole number.
S(30)= 2*30³-2*30²+4*30S(30)= 52,320 ($52,320)I know that the value exceeds the amount of $50,000, but if you use just a day before:
S(29)= 2*29³-2*29²+4*29S(29)= 47,212 ($47,212)How you can see, if you use 29 days, the value doesn't reach $50,000, by this reason, you must use 30 days to reach it.
what is the greatest common facter of 48 and 84
Answer:12
Step-by-step explanation:
The prime factorization of 84 is 2×2×3×7 . The prime factorization of 48 is 2×2×2×2×3 . . Therefore, the GCF is 2×2×3=12
21π
Rational
Irrational
Answer: Rational
Step-by-step explanation:
21[tex]\pi[/tex] is rational because it is [tex]\pi[/tex] times 21 which is 65.9734457254 and numbers that terminate or repeat are rational.
What is 74 divided by 12?plz help I need this assignment done before 3:30 and it’s 2 hours until time
Answer:
6.16.
Step-by-step explanation:
hope this helps.
Answer:
37/6
Step-by-step explanation:
What is the difference?
-6-[11)
-17
5
5
17
Answer:
-17
Step-by-step explanation:
You have to simplify the expression!
Answer:
-17
Step-by-step explanation:
A ball is thrown from a height of 70 meters with an initial downward velocity of 10/ms. The ball's height h (in meters) after t seconds is given by the following.
h=70-10t-5t^2
The time when the ball hit the ground, which is thrown from a height of 70 meters with an initial downward velocity of 10 m/s is 2.87.
What is a quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable. To solve the equation for x, use the following formula,
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The ball's height h (in meters) after t seconds is given by the following.
[tex]h=70-10t-5t^2[/tex]
The ball is thrown from a height of 70 meters with an initial downward velocity of 10 m/s. In this case,
Height h=70 metersVelocity v=10 m/s.The time when the ball hit the ground has to be find out. The value of the height when it hit the group is zero. Put the value of h=0 in the above equation,
[tex]h=70-10t-5t^2\\0=70-10t-5t^2\\5t^2+10t-70=0\\5t^2+10t-70=0\\[/tex]
Solve the quadratic equation using the following formula,
[tex]t=\dfrac{-10\pm \sqrt{10^2-4(10)(-70)}}{2\times5}\\t=-4.87, t=2.87[/tex]
Consider positive value. Thus, the time when the ball hit the ground, which is thrown from a height of 70 meters with an initial downward velocity of 10 m/s is 2.87.
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Help help help help help Select the equivalent expression (3^2x5^3
Answer:
D
Step-by-step explanation:
(3^2x5)^3=91125
3^6x5^3=91125
The answer is 9 3⁶ x 5³
(3² x 5)³= 91125
3⁶ x 5³ = 91125
3x² + 2x + 2 + 4x2 + 5 simplify
Answer:
3x^2+2x+15
Step-by-step explanation:
3x^2+2x+2+(4x2)+5
use pemdas
Answer:
smhhh
Step-by-step explanation:
62+(3·4)−24
PLS HELP MEEEEEEEE
Answer:
50
Step-by-step explanation:
62+(3·4)−24
62+12-24
Final Answer: 50
Answer:
50
Step-by-step explanation: :D
how do i solve for m in i=pm
Answer:
Divide by P
Step-by-step explanation:
i = P x M
divide by P to get M alone, which means you have to do it to both sides
i/P = M
PLSSSSS HELPOLP URGENT!!!!
What are the coordinates of the endpoints of P'Q' after a reflection of PQ
over x = -3?
Maggie purchased a 2-pound roast to fix for dinner. How many ounces does the roast weigh?
Answer:
32 ounces
Step-by-step explanation:
1 lb = 16 ounces
2 lbs = 2 * 16 = 32 ounces
help please (: picture is included
Lisa Company uses the periodic inventory system to account for inventories. Information related to Lisa Company's inventory at October 31 is given below:
October
1
Beginning inventory
390 units x $9.80 = $3,822
8
Purchase
790 units x $10.50 = 8,295
16
Purchase
590 units x $10.60 = 6,254
24
Purchase
195 units x $11.60 = 2,262
Total units and cost
1,965 units $20,633
Answer:
The value of ending inventory will be items of latest purchase.
Step-by-step explanation:
Given that,
Lisa Company uses the periodic inventory system to account for inventories.
Information related to Lisa Company's inventory at October 31 is given,
Suppose, find the value of ending inventory using the FIFO cost assumption if 500 units remains on hand at october 31
We need to calculate the value of ending inventory
Using FIFO method
[tex]value\ of\ ending\ inventory =305\ units\times\$10.6+195\ units\times\$11.60[/tex]
[tex]value\ of\ ending\ inventory = 3233+2262[/tex]
[tex]value\ of\ ending\ inventory =\$5495[/tex]
Hence, The value of ending inventory will be items of latest purchase.
What is the slope, y-intercept, and x-intercept of (7,-6) and (10,9)
Answer:
Slope: 5
X Intercept: (8.2,0)
Y Intercept: (0, -41)
Step-by-step explanation:
Slope:
y2-y1/x2-x1=9-(-6)/10-7=9+6/10-7=15/3=5
y=5x-41 - the slope intercept form
X Intercept:
if y=0
0=5x-41
+41 +41
41=5x
8.2=x
(8.2,0)
Y Intercept:
if x=0
y=-41
(0,-41)
hope this helps
brainliest?
A lady decides she wants to start saving more money so she can buy a house. So, she decides to trick herself into saving by creating a challenge for herself. She bought a box of 100 envelopes and wrote the numbers 1-100 on separate envelopes. Twice a week, she drew two envelopes at random and put the corresponding amount of cash inside. (So, if she drew envelope 23, she put $23 inside). How much will she save? How long will it take her to fill all the envelopes?
Answer:
she should at least have $1,150 in at least 575 weeks
Step-by-step explanation:
Laina reads 25 : 30
If laine reads 200 pages at the same rate how long will it take her
Answer:
i sorry but idk the annswer
Answer:
240
Step-by-step explanation:
200/25=8
30x8=240
hope this helps i didn't really understand the question much
What is the solution to this equation?
3(4x + 3) = 2x - 5(3 - x) + 2
A.
o o
O
-
O
D.
-
Answer:
-0.86
Step-by-step explanation:
12x + 9 = 2x - 15 + 5x + 2
Combine
19x = -22