Answer: a) P(1&2 =defect)= 1/800
b) P(1&2 =defect)= 1/780
Step-by-step explanation:
a) The probability that 1st of the selected fuses is defective is 2/40=1/20 =0.05
So if we replace it by the not defective the number of defective fuses is 1 and total number is 40.
So the probability that 2-nd selected fuse is defective as well is 1/40
The probability both fuses are defective is
P(1&2 =defect)= 2/40*1/40=2/1600=1/800
b) The probability that 1st of the selected fuses is defective is 2/40=1/20 =0.05
SO residual amount of the fuses is 39. 1 of them is defective.
So the probability that 2-nd selected fuse is defective as well is 1/39
The probability both fuses are defective is
P(1&2 =defect)= 2/40*1/39=2/1560=1/780
show that 7 1/2 - 4 2/3 = 2 5/6
Equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex] is true.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex]
We need to check whether the left hand side is equal to right hand side.
These are in the form pf mixed fraction we can convert them to the improper fraction.
[tex]7\frac{1}{2}=15/2[/tex]
[tex]4\frac{2}{3}=\frac{14}{3}[/tex]
So Let us subtract 24/3 from 15/2
15/2-14/3
LCM of 2 and 3 is 6
45-28/6
17/6
This can be written as mixed fraction [tex]2\frac{5}{6}[/tex]
Hence, equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex] is true.
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Solve the inequality and enter your solution as an inequality in the box below,
using "<=" for sor">=" for 2 if necessary.
-2(5x + 1) > 48
Answer here
Answer:
x < -5
Step-by-step explanation:
-2(5x + 1) > 48
Divide by -2, remembering to flip the inequality
-2/ -2(5x + 1) < 48/-2
5x +1 < -24
Subtract 1 from each side
5x+1-1 < -24-1
5x < -25
Divide by 5
5x/5 < -25/5
x < -5
a dense fog advisory means visibility is less than 1/8 of a mile
-true
-false
Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square increasing when the area of the square is 36 cm2?
Each side of the square would have to be 6 cm to have an area of 36 cm^2. However, as a side can never be 0, and you never gave a starting size for the square, the question is unanswerable.
An election ballot asks voters to select six city commissioners from a group of 24 candidates in how many ways can this be done? Six city commissioners can be selected from a group of 24 candidates in blank different ways
Answer:
134,596 diffrent ways.
Step-by-step explanation:
Combination has to do with selection. When n object is to be selected from n objects, this can be achieved using the combination formula as shown; \
nCr = n!/(n-r)!r!
If an election ballot asks voters to select six city commissioners from a group of 24 candidates, then the selection can be done in 24C6 different ways.
Applying the formula above:
24C6 = 24!/(24-6)!6!
24C6 = 24!/18!6!
24C6 = 24*23*22*21*20*19*18!/18!*6*5*4*3*2
24C6 = 24*23*22*21*20*19/24*30
24C6 = 23*22*21*20*19/30
24C6 = 134,596 different ways.
Hence, Six city commissioners can be selected from a group of 24 candidates in 134,596 different ways
if jonny has 3 × 6 amounts of dish soap, how much dish soap does he have?!
a(I dont know)
b(18)
c(12)
d(6)
look up a skit called what's 6×3 before answering.
Answer: 18 (b)
Step-by-step explanation:
3x6=18
Answer:
18
Step-by-step explanation:
you can use a visual for a short answer or organize 3 dots in six groups, count in total
help help help pls pls
Answer:
C. {2.4, 4.8, 6.3, 8.8}
Step-by-step explanation:
You only need to find the first domain value to make the appropriate answer selection.
14.1 = 7x -2.7
16.8 = 7x . . . . . . add 2.7
2.4 = x . . . . . . . . divide by 7
The appropriate choice is ...
C. {2.4, 4.8, 6.3, 8.8}
_____
In the attachment, we have applied the same "solve for x" steps to each of the range values, confirming our answer choice.
Duran Manufacturing uses a process costing system and manufactures its product in three departments. Which of the following is NOT a way in which Duran can use the cost per unit of each process? A) Duran can look for ways to cut the costs when actual process costs are more than planned process costs. B) Duran needs to set the selling price to cover the costs of making the product and provide a profit. C) Duran can only use the cost per unit of each process if all units are fully completed at the end of the accounting period. D) Duran needs to know the ending balances in the following accounts: Work-In-Process Inventory, Finished Goods Inventory, and Cost of Goods Sold.
Answer:
C) Duran can only use the cost per unit of each process if all units are fully completed at the end of the accounting period.
Step-by-step explanation:
Duran uses cost accounting technique to identify cost per unit for its products. The costing techniques allows us to identify the cost of unit that are not completely finished. It is not necessary that all unit must be completed in order to find out the cost per unit of the product. The process costing is the best method to identify cost per unit for products that are in process.
simpifly (-5x2 - 3x - 7) + (-2x3 + 6x2 - 8)
Answer:
-2x³ + x² - 3x - 15
Step-by-step explanation:
Simply combine like terms together:
-5x² - 3x - 7 - 2x³ + 6x² - 8
-2x³ + (-5x² + 6x²) - 3x + (-7 - 8)
-2x³ + x² - 3x + (-7 - 8)
-2x³ + x² - 3x - 15
Answer: -2x^3+x^2-3x-15
Step-by-step explanation:
As there is only addition and subtraction here, and the two groups of parenthesis are added, you can ignore the parenthesis.
Thus, simply combine like terms to get.
-2x^3+x^2-3x-15
Hope it helps <3
In a Classroom, 1/6 of the students are wearing blue shirts, and 2/3 are wearing white shirts. There are 12 students in the classroom. How many students are wearing shirt other than blue shirts or white shirts?
Answer:
2
Step-by-step explanation:
firstly...you have to find the number of students wearing blue and white shirt and subtract from the total number of students to get the number if students that neither wears blue or white shirt as follows :
no wearing blue = 1/6 × 12 = 2
no.wearing white = 2/3 × 12 = 8
total number wearing blue and white = 8+2 =10
number of students not putting on either of the two colours include...= 12-10 = 2
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MARK BRAINLIEST will be appreciated please...thanks in advance
Which expression has a negative value? 2 + 12 (negative 3) (negative 8) 10 minus (negative 18) Negative 35 divided by 5 Mark
Answer: 35 ÷5 is the negative value
Answer: D
Step-by-step explanation:
when should homeowners ask their lenders for mortgage modification
Homeowners may consider asking their lenders for mortgage modification in the following situations listed below:
When should homeowners ask their lenders for mortgage modification?1. Financial hardship: If a homeowner is facing financial hardship as a result of a large decrease in income, unanticipated medical expenditures, or other unforeseen events
2. Changes in interest rates: If interest rates have fallen significantly after the homeowner obtained their mortgage, they may be able to negotiate a lower interest rate through mortgage modification.
3. Default: If a homeowner has fallen behind on their mortgage payments and is facing foreclosure, mortgage modification may be an option for bringing the loan up to date and avoiding foreclosure.
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Answer:
When they know they can't afford it & before the next payment
Step-by-step explanation:
How to solve the exponential equation for 3^k2 • 3^-k+2 = 81
Answer:
k=2
Step-by-step explanation:
3^k*2 * 3^-k+2 = 81
Factor out 81 to be : 3^4
Rewrite the equation:
k*2 - k+2 = 4
k^2 - 2k = 4
Simplify : k+2 = 4
- 2 - 2
k = 2
Reyna's health insurance plan requires that she have physician who manages all of her health care. Reyna, most likely, has what type of insurance plan?
Answer:
HMO
Step-by-step explanation:
Health Maintenance Organization is your answer :D
The area of a gymnasium floor is 264 square yards. the floor is 11 yards wide. How long is the floor?
Answer:
24 yards long
Step-by-step explanation:
if A=l*w then it's 264=l*11
if you divide 264 (area) by 11 (width) then the answer is 24 which is the length
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compression strength of more than 1300 KN/m^2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with \sigma =60. Let \mu denote the true average compressive strength.What are the appropriate null and alternative hypothesis?
Answer:
The null hypothesis is: u >= 1300 KN/m^2
And the alternative hypothesis is:
u < 1300 KN/m^2.
Step-by-step explanation:
The null hypothesis describes hat there is no difference or assiciation between variables of a specific population or that it is a particular average value while the alternative hypothesis states otherwise.
In this case study, the null hypothesis is: u >= 1300 KN/m^2
And the alternative hypothesis is:
u < 1300 KN/m^2.
5. Look at the diagram below. Indicate whether the angles below are
adjacent or vertical.
a <1 and <2
b. <3 and <4
C. <2 and <4
d. <1 and <3
Answer:
a. adjacent
b. adjacent
c. vertical
d. vertical
Step-by-step explanation:
Adjacent angles share a side; vertical angles do not. Vertical angles share a vertex and have sides that are opposite rays.
In the diagram, adjacent angles are sequentially numbered, so numbers that differ by 1 (or 3) are adjacent angles.
Vertical angles are not adjacent, so will have angle numbers that differ by 2.
adjacent: (a) and (b) . . . angles 1&2, 3&4
vertical: (c) and (d) . . . angles 2&4, 1&3
Please answer this correctly
Answer:
Option 1
Step-by-step explanation:
The temperature was -11 degrees Fahrenheit in Chicago. In Cheyenne, it was 11 degrees Fahrenheit warmer than Chicago's temperature.
-11 + 11 = 0
Which of the following statements about the backward elimination procedure is false? a. It does not permit an independent variable to be reentered once it has been removed. b. It is a one-variable-at-a-time procedure. c. It does not guarantee that the best regression model will be found. d. It begins with the regression model found using the forward selection procedure.
Answer:
c. It does not guarantee that the best regression model will be found.
Step-by-step explanation:
Backward elimination (or deletion) procedure requires a subsequent removal of individual independent variables in an equation to derive an appropriate regression equation. It is a step-wise operation which make use of a predefined criterion for essential variables.
One of its main importance is that it ensure that the best regression model is found by removal of inconsequential variables.
Therefore, the appropriate answer to the given question is option C.
Answer:
c. It does not guarantee that the best regression model will be found.
Step-by-step explanation:
9000 to nearest thousand
Answer:
9,000 is the answer
Step-by-step explanation:
Answer:
9000
Step-by-step explanation:
The two triangles are similar. What is the value of x? Enter your answer in the box. x =
Answer:
the value of x=12
Step-by-step explanation:
d) the answer is d on edg.
Let x=−1−5i and y=5−i. Find x⋅y.
Answer:
-10 -24i
Step-by-step explanation:
Note : i=√-1 (imaginary number)
i² = -1
xy
= (−1−5i)(5−i)
= -5 +i -25i +5i²
=-5 +i -25i + 5(-1)
= -5 +i -25i -5
= -5 -5 +i -25i
= -10 -24i
A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit. The value of x·y is (−10 −24i).
What is a complex number?A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.
Given that x=−1−5i and y=5−i. Therefore, the value of x·y is,
x·y = (−1 −5i)(5-i)
= −5 + i −25i +5i²
= −5 −24i − 5
= −10 −24i
Hence, the value of x·y is (−10 −24i).
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Currently patrons at the library speak at an average of 64 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 47 people speaking at the library. Their average decibel level was 63.2 and their standard deviation was 5. What can be concluded at the the α α = 0.05 level of significance?
Answer:
The conclusion is that the average level of decibel at the library has changed since the installation of a new computer plug
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 64[/tex]
The sample size is [tex]n = 47[/tex]
The sample mean is [tex]\= x = 63.2[/tex]
The sample standard deviation is [tex]\sigma = 5[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The Null Hypothesis is
[tex]H_o : \mu = 64[/tex]
The Alternative Hypothesis is
[tex]H_a : \mu \ne 64[/tex]
The test statistics is mathematically evaluated as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{63.1 - 64 }{\frac{5 }{\sqrt{47} } }[/tex]
[tex]t = -1.234[/tex]
The negative sign show that this is a left-tail test
Now the critical value of the level of significance obtained from the critical values table is
[tex]z_{0.05} = 1.645[/tex]
Now comparing the critical value of the [tex]\alpha[/tex] and the test statistics we see that critical value is greater than the test statistic which implies that the null hypothesis is rejected.
The conclusion is that the average level of decibel at the library has changed since the installation of a new computer plug
20% of city employees ride the bus to work. This is up 10% from last year. What percent of employees rode the bus to work last year?
Answer:
18.18% of employees rode the bus to work last year
Step-by-step explanation:
This question can be solved using a rule of three.
Last year, a proportion of x employees riding the bus was 100% = 1.
This year, 20% = 0.2 ride the bus, which is 100 + 10 = 110% = 1.1 of last year.
So
0.2 - 1.1
x - 1
[tex]1.1x = 0.2[/tex]
[tex]x = \frac{0.2}{1.1}[/tex]
[tex]x = 0.1818[/tex]
0.1818*100 = 18.18%
18.18% of employees rode the bus to work last year
Using the diagram below, find how high the plane is flying.
58°
50 yd
30.15 yd
30.25 yd
31.25 yd
32.45 yd
Answer:
31.24 yd
Step-by-step explanation:
HELP PLEASE!!What method can you use to find the area of the composite figure. Check ALL that apply.
Answer:
C
Step-by-step explanation:
The reason we can use this method is because we are given a composite figure with a house shape with one triangle on top. We can use the guidance of the dotted lines to make out that a rectangle can be used to find the figure. We can see that apart from the figure, there are two congruent triangles. To find the area we would do -
First find the missing height of the smaller triangles. We would use the pythagorean theorem to find that the missing height is√5
We could do 8(4) = 32 to find the area of the rectangle.
Then, we could do 2√5/2 to find one missing triangle. We could then add the triangles to find the measures of the combined triangles as 2√5. Then, we could do 32 - 2√5 to find the area as 27.5.
Hope this helps :)
Answer:
it is A,B,D
Step-by-step explanation:
i got it right on edge
10. The population of India is 1.353 billion, and expected to grow at the rate of one percent
annually for the forseeable future. Assuming population continues to grow at the same percent
rate, how long until the population reaches 2 billion people? Give your answer to the nearest
year. (4 minutes)
Answer:
39 years
Step-by-step explanation:
Adapt the formula A = P(1 + r)^n, letting P represent the original population, r the growth rate as a decimal fraction, and n the number of years.
Solve this for n:
2 billion = (1.353 billion)(1 + 0.01)^n
After simplification, we have:
2
--------- = 1.01^n
1.353
Taking the log of both sides, we get:
log 2 - log 1.353 = n log 1.01, or
log 2 - log 1.353 0.1697
------------------------ = -------------- = 39 years (rounded off from 39.28)
log 1.01 0.0043
Which of the following best describes T in the general formula for an exponential function, which is shown below?
O A. Time
O B. Initial amount
O c. Growth rate
O D. Growth factor
Answer:
A. Time
Step-by-step explanation:
The general formula for an exponential function is shown below:
[tex]F(t) = Ao.b^{kt}[/tex]
where,
Ao = Initial amount
b = growth factor i.e come (1 + r)
r = growth rate
k = Constant
T = Time
Therefore the T describes the time
Hence, the first option is correct
To determine any of the above variable we simply used the above formula so the chances of thh correct answer could be high
Which of the following is an even function? (A) g(x)=5x+2 (B) g(x)=x (C) g(x)= x 2 (D) g(x)=x3 (E) g(x)=−|x|
Answer:
(C) g(x) = x² and (E) g(x) = -|x|Step-by-step explanation:
If f(x) is an even function, then f(-x) = f(x).
(A)
g(x) = 5x + 2
g(-x) = 5(-x) + 2 = -5x + 2
g(-x) ≠ g(x)
(B)
g(x) = g(x) = x
g(-x) = -x
g(-x) ≠ g(x)
(C)
g(x) = x²
g(-x) = (-x)² = (-1x)² = (-1)²(x)² = x²
g(-x) = g(x)
(D)
g(x) = x³
g(-x) = (-x)³ = (-1x)³ = (-1)³(x)³ = -1x³ = -x³
g(-x) ≠ g(x)
(E)
g(x) = -|x|
g(-x) = -|-x| = -|-1x| = -(|-1|)(|x|) = -1|x| = -|x|
g(-x) = g(x)
How do you write 26,300 in scientific notation? ____× 10^____
Answer:
It's written as
[tex]2.63 \times {10}^{4} [/tex]
Hope this helps you
Answer:
2.63 * 10 ^4
Step-by-step explanation:
26,300
We want one digit to the left of the decimal
Move the decimal 4 places to the left
4 is the exponent. Since we moved the decimal to the left, the exponent is positive
2.63 * 10 ^4