Answer:
0.705 = 70.5% probability that a finished calculator will be satisfactory.
Step-by-step explanation:
Probability of independent events:
If two events, A and B, are independent, the probability of both happening is the multiplication of the probabilities of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question:
Event A: Keystroke assembly are satisfactory.
Event B: Logic circuits are satisfactory.
75% of the keystroke assemblies and 94% of the logic circuits are satisfactory.
This means that [tex]P(A) = 0.75, P(B) = 0.94[/tex]
Find the probability that a finished calculator will be satisfactory.
Both satisfactory, and since they are independent:
[tex]P(A \cap B) = P(A)P(B) = 0.75*0.94 = 0.705[/tex]
0.705 = 70.5% probability that a finished calculator will be satisfactory.
Find the solutions of x^2+30 = 0
please give detailed steps!
Answer:
x= i√30
Step-by-step explanation:
I'm going to go into this under the assumption that you've covered imaginary numbers based on the question. If I'm wrong then sorry about that.
Okay, so first you want to subtract 30 from both sides
x^2=-30
Then you take the square root of each side.
√(x^2)=√-30
x=√-30
Since it's impossible to square a number to get a negative number, you'll end up with an imaginary number. You have to rewrite x=√-30 to get rid of the negative sign under the radical. Rewriting this will also indicate that it's an imaginary number.
Final answer: x = i√30
28. A boy decided to cut 10 pieces of wood from a length of wood so tha the first piece was 5cm the second 10cm, the third 15cm, the fourth 20cm and so on until he had cut TO pieces, each one 5cm longer than the one he had cut before. What length of the wood did he use? (a) 50cm (b) 55cm (c) 70cm (d) 200cm (e) 275cm
Step-by-step explanation:
he use 50cm length of the wood
Calvin and Jamel each havr cats as pets. Calvin buys cat food in cylindrical can that are 6 centimeters in diameter and 12 centimeters high. Jamel buys cat food in cylindrical can that 12 centimeters in diameter and 6 centimeters high. What is the ratio of the volume of one of Calvin's cans of to the volume of one of Jamel's cans?
Answer:
see below
Step-by-step explanation:
CALVIN
v=[tex]\pi[/tex]× r ² × h
v=3.14 × 3² × 12
v=3.14×9 × 12
v=3.14 × 108
v = 339.12
JAMEL
v=[tex]\pi[/tex] × r ²×h
v=3.14× 6 ² × 6
v=3.14 × 36×6
v=3.14×216
v=678.24
КУ
11
10
A
9
8
7 구
6
5
4
A А
C
3
B'
2
1
B
C с
-6 -5 -4 -3 -2 -1
1 2 3 4 5 6
A ABC is dilated about the origin./
What scale factor was used to make the image A A'B'C?
Answer:
3
Step-by-step explanation:
The dilation factor is 3
An amortized loan of RM60,000 has annual payments for fifteen years, the first occurring exactly one year after the loan is made. The first four payments will be for only half as much as the next five payments, whereas the remaining payments are twice as much as the previous five payments. The annual effective interest rate for the loan is 5%. I If the first four payments are X each, calculate the amount of principal repaid in the eighth payment and the amount of interest in the twelfth payment.
9514 1404 393
Answer:
a) RM2256.09 . . . principal paid by 8th payment
b) RM1791.10 . . . . interest paid by 12th payment
Step-by-step explanation:
First of all, we need to find the payments.
The payment amount is the amount that makes the future value of the series of payments equal to the future value of the loan at the given interest rate.
The future value of a single amount is ...
FV = P(1 +r)^n . . . . . where r is the annual rate, and n is the number of years in the future
The future value of a series of payments is ...
FV = P((1 +r)^n -1)/r . . . . . where n is the number of payments of P earning annual rate r
For payments in a series that does not end at the end of the loan, the future value is the product of that of the series and the effect of the accumulation of interest for the remaining time.
__
The first 4 payments will have a future value at the end of the loan period of ...
s1 = X((1 +0.05)^4 -1)/0.05×(1 +0.05)^11 = X(1.05^15 -1.05^11)/0.05
s1 = 7.3717764259X
The next 5 payments will have a future value at the end of the loan period of ...
s2 = 2X((1 +0.05)^5 -1)/0.05×(1 +0.05)^6 = 2X(1.05^11 -1.05^6)/0.05
s2 = 14.8097486997X
The last 6 payments will have a future value at the end of the loan period of ...
s3 = 4X((1 +0.05)^6 -1)/0.05 = 27.20765125X
So, the total future value of the series of payments is ...
payment value = 7.3717764259X +14.8097486997X +27.20765125X
= 49.3891763756X
__
The future value of the loan amount after 15 years is ...
loan value = 60,000(1 +0.05)^15 = 124,735.69
In order for these amounts to be the same, we must have ...
49.3891763756X = 124,735.69
X = 124,735.69/49.3891763756 = 2,525.57
__
At this point, it is convenient to use a spreadsheet to find the interest and principal portions of each of the loan payments. (We find the interest charge to be greater than the payment amount for the first 4 payments. So, the loan balance is increasing during those years.)
In the attached, we have shown the interest on the beginning balance, and the principal that changes the beginning balance to the ending balance after each payment. (That is, the interest portion of the payment is on the row above the payment number.)
The spreadsheet tells us ...
A) the principal repaid in the 8th payment is RM2,256.09
B) the interest paid in the 12th payment is RM1,791.10
_____
Additional comment
The spreadsheet "goal seek" function could be used to find the payment amount that makes the loan balance zero at the end of the term.
We have used rounding to sen (RM0.01) in the calculation of interest payments. The effect of that is that the "goal seek" solution is a payment value of 2525.56707 instead of the 2525.56734 that we calculated above. The value rounded to RM0.01 is the same in each case: 2525.57.
If
f (x) = 3x +1 and 1-1 = *?
then f-'(7) =
O 22
O-2
02
According to my calculations answer is -2
Simple geometry please help
Find KL. Round to the nearest hundredth.
Answer:
KL ≈ 1.94
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{JL}{KL}[/tex] = [tex]\frac{1.3}{KL}[/tex] ( multiply both sides by KL )
KL × cos48° = 1.3 ( divide both sides by cos48° )
KL = [tex]\frac{1.3}{cos48}[/tex] ≈ 1.94 ( to the nearest hundredth )
8. 15x - 10 = 80
a. X= 2
b. x=4
c. X= 6
Answer:
C
Step-by-step explanation:
15x-10=80
15x=90
x=90/15, x=6
Answer:
x = 6
Step-by-step explanation:
15x - 10 = 80
Add 10 to each side
15x-10+10 = 80+10
15x = 90
Divide each side by 15
15x/15 = 90/15
x = 6
A loaf of bread costs $1.40 and the markup is 30% of the selling price. Find the selling price.
Answer:
The selling price after the markup is $1.82
Step-by-step explanation:
$1.40 * .30 =
Multiply $1.40 times .30 (which is same as 30%)
$1.40 * .30 = $0.42
Add $1.40 and $0.42
= $1.82
Hope this helps.
what translation was the similarity moved through ?
Can you provide a solution or a formula?
144 x 1.25 = 180
Answer: 144
Answer:
144
Step-by-step explanation:
144 × 1.25 = 180
We add the 1 to .25 to represent the original value plus the 25% increase.
Or you could have divided 180 by 1.25 to find original price.
what represent the area of the rectangle in cm^2??
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Answer:
d. 3x² +15x
Step-by-step explanation:
The area is the product of length and width.
A = LW
A = (3x)(x+5) = 3x(x) +3x(5) . . . . use the distributive property
A = 3x² +15x
Answer: D) 3x^2 + 15
==========================================================
Explanation:
Draw a horizontal line to divide the rectangle into two parts (they don't necessarily have to be equal parts). Refer to the diagram below. The upper rectangle is x by 3x. So its area is length*width = x*3x = 3x^2
The lower rectangle is 5 by 3x, so its area is 5*3x = 15x
Combine those two sub-areas back together to get the overall area of 3x^2 + 15x
You could also use the distribution rule
3x*(x+5) = 3x*(x) + 3x*(5) = 3x^2 + 15x
Given the formula A = 5h (B + b); solve for B.
2
Answer:
B = A/5h - b; You could use
B = (A - 5hb)/5h This just puts everything over a common denominator.
Step-by-step explanation:
A = 5h (B + b) Divide both sides by 5h
A/5h = B + b Subtract b from both sides.
A/5h - b = B
been stuck on this for a few days now, help on even one would be greatly appreciated!!!
Answer:
-5-9i
Step-by-step explanation:
-1-8i-4-i
-1-4-8i-i
-5-9i
Please help me with this
9514 1404 393
Answer:
1+3x = -89x = -30Step-by-step explanation:
If we let x represent "a number", then "three times a number" is 3x. The usm of that and 1 is ...
1 +3x . . . . . . the sum of 1 and 3 times a number
That is said to be -89, so we have the equation ...
1 +3x = -89
__
To solve this equation, we can subtract 1 from both sides:
3x = -90
Then we can divide by 3 to find x.
(3x)/3 = -90/3
x = -30
What is the value of the 2 in 4.502?
Answer:
0.002
Step-by-step explanation:
2 in 4.502 is in the thousandths place
Value is 0.002
Oak street and elm street run parallel to each other. When main street intersects them, it forms exterior 8, measuring 60. What is the measure of 1?
Answer:
0 is the answer measure 1
What is the equation of the graph below?
Answer:
f(x)=5cos(1/3x) this is an equation
IF YOU GET THE RIGHT ANSWER, I'LL HELP YOU GET POINTS
Graduation is 4 years away and you want to have $500 available for a trip. If your bank is offering a 4-year CD (certificate of deposit) paying 2.3% simple interest, how much do you need to put in this CD to have the money for your trip?
Graduation is 4 years away and you want to have $500 available for a trip. If your bank is offering a 4-year CD (certificate of deposit) paying 2.3% simple interest, how much do you need to put in this CD to have the money for your trip?
Solution:-P: Principal, the amount you need to put in the CD
r: interest rate
t: time
A: total amount
________________________________
P(1+rt) = A
P(1+0.023×4) = 500
P(0.092) = 500
P = 500/0.092 = 5434.78
[Hence, you need $5434.78 to put in this CD to have the money for your trip ]
A person has decided to construct a frequency distribution for a set of data containing 100 numbers. The lowest number is 20 and the highest number is 80. If 5 classes are used, the class width should be approximately _______.
Answer:
The answer is "12".
Step-by-step explanation:
Lowest number[tex]=20\\\\[/tex]
highest number[tex]=80\\\\[/tex]
Number of classes[tex]=5\\\\[/tex]
Range=highest number-lowest number
[tex]=80-20\\\\=60\\\\[/tex]
class width [tex]=\frac{Range}{\text{number of classes}}[/tex]
[tex]=\frac{60}{5}\\\\=12[/tex]
Can I please get asap
Answer:
Option B, cotangent is the reciprocal of tangent
That option is correct
The best basketball player
Answer:
c
Step-by-step explanation:
hope it helps!!!!!!!!!!!!!!
Marie's backyard deck cost $68.29 per square meter to build. The deck is 9 meters wide and 9 meters long. How much did it cost to build the deck?
$5531.49
(9×9)×$68.29
Difference between 5429 and 5907 to the greatest place.
Given numbers
54295907Inorder to find the difference between them we have to substarct them.
[tex]\\ \sf\longmapsto 5907-5429[/tex]
[tex]\\ \sf\longmapsto 478[/tex]
Answer:
478
Step-by-step explanation:
To solve the problem
5907 -
5429 =
478
Find the length of the side CD in the pentagon ABCDE.
A)
4√2 units
B)
12 units
C)
4 units
D)
4√10 units
Answer: A) 4√2 units
Step-by-step explanation:
Use the distance formula to find the distance(d) between Point D and Point C:
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
Point D = (x₁, y₁) = (4, -2)Point C = (x₂, y₂) = (8, 2)[tex]d=\sqrt{(8-4)^{2}+(2-(-2))^{2}}=\sqrt{(4)^{2}+(4)^{2}}=\sqrt{16+16} =\sqrt{32} =4\sqrt{2}[/tex]
Help me plz help me plz plz
Im sorry I don't know the answer to the question
what is a negative number that has an absolute value greater than 3?
Answer:
x > -3
Step-by-step explanation:
Any negative number greater than -3 will have an absolute value greater than 3.
A small airplane flies 1160 miles with an average speed of 290 miles per hour. 2 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of the 747 ?
Answer:
[tex]580\text{ miles per hour}[/tex]
Step-by-step explanation:
To solve this problem, we can use the formula [tex]d=rt[/tex], where [tex]d[/tex] is distance, [tex]r[/tex] is rate, and [tex]t[/tex] is time.
Let's start by calculating how long the small airplane takes to complete the journey. The distance is 1160 miles and the rate is 290 miles per hour. Therefore, we have:
[tex]1160=290t,\\t=\frac{1160}{290}=4\text{ hours}[/tex]
Since the Boeing 747 left 2 hours after the small airplane left, the small airplane has just [tex]4-2=2[/tex] hours left of travelling time.
Therefore, to arrive at the same time as the small airplane, the Boeing 747 must cover the same distance of 1160 miles in only 2 hours. Hence, the Boeing 747's speed must have been:
[tex]1160=2r,\\r=\frac{1160}{2}=\boxed{580\text{ miles per hour}}[/tex]
bionomial probabilities
Answer:
Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).
Hope this will help you :)Find all excluded values for the expression.
That is, find all values of for which the expression is undefined.
5
-----
6+2v
If there is more than one value, separate them with commas.
Answer:
-3
Step-by-step explanation:
For an expression to be undefined,. the denominator must be equal to 0
Therefore, in order to make that expression undefined, we must equate the denominator to 0
6 + 2v = 0
2v = 0 - 6
2v = -6
v = -6/2
v = -3
So in order to make the expression to be equal to 0, v must be -3
