Answer:
350 meters.
Step-by-step explanation:
Which of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it O A Length(time) O B. Timelength) O C. Costume D. Timerace
Answer:
The answer would be B, Time(Length)
Step-by-step explanation:
You simply replace the two values and get (x,y).
Items are inspected for flaws by two quality inspectors. Both inspectors inspect every item and the probability that an item has a flaw is 0.1. If a flaw is present,it will be detected by the first inspector with probability 0.92, and by the second inspector with probability 0.7. If an item does not have a flaw, it will be passed by the first inspector with probability 0.95 and by the second inspector with probability 0.8. Assume the inspectors function independently.
(a) If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors?
(b) If an item is passed by the first inspector, what is the probability that it actually has a flaw?
(c) What is the probability that the two inspectors draw different conclusions on the same item?
(d) If an item is passed by both inspectors, what is the probability that it actually has a flaw?
Answer:
a)0.976
b)0.00926
c)0.2402
d)0.35
Step-by-step explanation:
Let [tex]X_i[/tex] be an item passed by inspector i
Let Y be the event that there is a fault in an item
The probability that an item has a flaw is 0.1 i.e. P(Y)=0.1
If a flaw is present ,it will be detected by the first inspector with probability 0.92 i.e.[tex]P(\bar{X_1}|Y)=0.92[/tex]
So, [tex]P(X_1|Y)=1-0.92=0.08[/tex]
If a flaw is present ,it will be detected by the second inspector with probability 0.7 i.e.[tex]P(\bar{X_2}|Y)=0.7[/tex]
So,[tex]P(X_2|Y)=1-0.7=0.3[/tex]
If an item does not have a flaw, it will be passed by the first inspector with probability 0.95 i.e. [tex]P(X_1|\bar{Y}) = 0.95[/tex]
So, [tex]P(\bar{X_1}|\bar{Y}) = 1-0.95=0.05[/tex]
If an item does not have a flaw, it will be passed by the second inspector with probability 0.8 i.e. [tex]P(X_2|\bar{Y}) = 0.8[/tex]
So, [tex]P(\bar{X_2}|\bar{Y}) = 1-0.8=0.2[/tex]
a)P(found by atleast one inspector | It has flaw )=1-P(found by none inspector | It has flow )
P(found by atleast one inspector | It has flaw )=[tex]1-P(X_1|Y) P(X_2|Y)[/tex]
P(found by atleast one inspector | It has flaw )=[tex]1-0.08 \times 0.3[/tex]
P(found by atleast one inspector | It has flaw )=0.976
Hence the probability that it will be found by at least one of the two inspectors if it has flaw is 0.976
b)[tex]P(Y|X_1)=\frac{P(X_1|Y) P(Y)}{P(X_1|Y) P(Y)+P(X_1|\bar{Y}) P(\bar{Y})}[/tex]
[tex]P(Y|X_1)=\frac{0.08 \times 0.1}{0.08 \times 0.1+0.95 \times 0.9}=0.00926[/tex]
C)P( two inspectors draw different conclusions on the same item)=[tex]P(X_1 \cap \bar{X_2} \cap Y)+P(\bar{X_1} \cap X_2 \cap Y)+P(X_1 \cap \bar{X_2} \cap \bar{Y})+P(\bar{X_1} \cap X_2 \cap \bar{Y})[/tex]
P( two inspectors draw different conclusions on the same item)=0.2402
D)
[tex]P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2)}\\P(Y|(X_1 \cap X_2))=\frac{P(Y \cap X_1 \cap X_2)}{P(X_1 \cap X_2 \cap Y)+P(X_1 \cap X_2 \cap \bar{Y})}\\P(Y|(X_1 \cap X_2))=0.35[/tex]
can someone please answer this question? thank you! (assignment due today)
15. Find the values of x and y.
(10x – 61)º
(18y + 5)º
(r + 10)º
Answer:
egc jnpz rof join it on google meet
The Student Council at High School A held a Student Body President election. There are 940 students in enrolled and 625 students voted for a Student Body President. Approximately what percentage of the student body voted for Student Body President?
Answer:
66.49
Step-by-step explanation:
If x is teater than 16 and less than 25, then x is.
What is the slope of the line 2x - 5y = 9
Answer:
2/5
Step-by-step explanation:
Answer:
m
=
2
5
Step-by-step explanation:
Rachel and her cousin, Lena, live in different cities that are about 100 miles apart. On a map, the two cities measure
5 inches apart. What is the scale factor used for the map?
Answer:
Step-by-step explanation:
On her map 1 inch is equal to 20 miles.
5x=100
divide both sides by 5
x=20
A square garden has an area of 100ft^2. What is the perimeter of the garden?
Given:
The area of a square garden = 100 sq. ft
To find:
The perimeter of the garden.
Solution:
Let the side of the square garden be a.
Area of a square = [tex]a^2[/tex]
So, [tex]a^2=100[/tex].
Taking square root on both sides.
[tex]a=\pm \sqrt{100}[/tex]
[tex]a=\pm 10[/tex]
Length of side cannot be negative. So, a=10. It means, side length of the garden is 10 ft.
Perimeter of square = 4a.
Perimeter of square garden is
[tex]4(10)=40[/tex]
Therefore, the perimeter of the square garden is 40 ft.
Geometry question building block?
Answer:
postulate: D
theorem: A
definition: B
diagram: C
Explain how you would solve the equation -7 + x = 12 using the properties of equality. (Site 1)
Given problem:
Solve using the property of equality;
-7 + x = 12
The properties of equality are;
Addition. Definition. If x = y, then x + c = y + c. ...
Subtraction. Definition. If x = y, then x – c = y – c. ...
Multiplication. Definition. If x = y, then xc = yc. ...
Division. Definition. If x = y and c is not equal to 0, then x / c = y / c
Now;
- 7 + x = 12;
base on the properties of equality, to eliminate -7, add +7 to both sides;
-7 + 7 + x = 12 + 7
x = 19
Based on the properties of equality, the solution is 19
Find the rate of discount being given on a shirt whose selling price is $ 546 after deducting a discount of $ 104 on its marked price.
Help.. I’ll give the crown thing to whoever can find me the simplest radical form of this
Answer:
√x
Step-by-step explanation:
The given expression
1/x^-3/6
Can be written as
1/x^-1/2
Use the negative exponent rule
1/x^n = x^n
Using the rule from above above
1 * x^-1/2
1 * √x =
√x
what is 19 divided by 6927 in long division
Answer:
364.5789473684211
Step-by-step explanation:
Please help me please
Determine the equation of the graph and select the correct answer below.
Answers:
A) y = (x + 2)^2 + 4
B) y = (x − 2)^2 − 4
C) y = −(x − 2)^2 − 4
D) y = −(x + 2)^2 − 4
Lisa paid $48.25 for 16.7 gallons of gasoline. What was the cost per gallon, rounded to the nearest
hundredth?
Rounded to the nearest hundredth, the cost per gallon was
PLS HELP IM DOING A HOMEWORK AND IM STRESSED
TIME REMAINING 56:08 Which point is located at (2, 3)? On a coordinate plane, point A is 3 units to the right and 2 units up. Point B is 2 units to the right and 2 units up. Point C is 2 units to the right and 3 units up. Point D is 3 units to the right and 3 units up. A B C D
Answer:
C
Step-by-step explanation:
A would be (3, 2)
B would be (2,2)
C would be (3,2)
And
D would be (3,3)
In 2010, Joe bought 200 shares in the Nikon corporation for $22.07 per share. In 2016 he sold the shares for $15.11each.
a. What was Joe's capital loss?
b. Express Joe's capital loss as a percent, rounded to the nearest percent.
Answer: a. $1392
b. 31.5%
Step-by-step explanation:
a. What was Joe's capital loss?
Cost price = $22.07 × 200 = $4414
Selling price = $15.11 × 200 = $3022
Capital loss = $3022 - $4414
= -$1392
b. Express Joe's capital loss as a percent, rounded to the nearest percent.
= Capital loss/Cost price × 100
= 1392/4414 × 100
= 31.5%
Answer:
a. $1392
b. 31.5%
Step-by-step explanation:
a. What was Joe's capital loss?
Cost price = $22.07 × 200 = $4414
Selling price = $15.11 × 200 = $3022
Capital loss = $3022 - $4414
= -$1392
b. Express Joe's capital loss as a percent, rounded to the nearest percent.
= Capital loss/Cost price × 100
= 1392/4414 × 100
= 31.5%
HURRY ILL MARK BRAINLIEST
Answer: B & D
Step-by-step explanation: Trust me
Nautical flags are used to communicate on ships. Kimani uses the scale drawing at the right to sew a nautical Z flag. The scale from her flag to the drawing is 20:1. Each color is 1/4 of the flag. How many square inches of each color of fabric does Kimani need?
Answer:
30 sq inches
Step-by-step explanation:
1.5 x 20 is 30
-3x-9=27x-6(5x-9) plz help
Answer:
No Solution
Step-by-step explanation:
Use the distributive property, to take out the contents from the parentheses
-6 * 5x = -30x
-6 * -9 = 54
-30x + 54
27x -30x + 54
Combine the terms that have the same variable
27x + -30x = -3x
-3x + 54
-3x - 9 = -3x + 54
Combine terms that have the same variable
-3x + 3x = 0
-9 = 54
-9 does not equal 54, therefore there is no solution
Find the area of the circle in terms of
44 in.
A, 1936x in
B. 484 in.?
C. 44 min.
D. SSJT in 2
Step-by-step explanation:
Area = Pi × r²
= Pi × (22)² in
= Pi × 484 in
= 484pi in (1520.530844)
is -3 a solution to the equation 3x-5=4+2x?explain.
PLZ HELP! DO NOT PUT A SILLY AWSER I WILL REPORT U!
Answer:
No
Step-by-step explanation:
3x-5=4+2x
x-5=4 (subtract 2x from both sides)
x=9 (add 5 to both sides)
How can I split 166 into two even numbers?
Answer:
Step-by-step explanation:
You can split it in many ways
for example, it can 164 + 2
160 + 4
100 + 66
and many more.........
hope this helps
plz mark as brainliest!!!!!!!!!!
Answer:
166/10=16.6
166/25=6.64
Step-by-step explanation:
The cost of the hiking trip is 2/3 of the cost of last years trip this year trip cost $32 write and solve an equation to find the cost of last years trip
Answer:
(32/2)*3=48
Step-by-step explanation:
In order to find the answer, we must find one third of last year's trip. To do this, we can simply divide the cost of this years trip by two, 32/2=16.
Now if we multiply this this number by 3, 16*3=48, we can see that the total cost of last year's trip was $48.
If we'd like to turn this into one equation, it looks like this: (32/2)*3=48
Jonathan is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months. Write an equation for c in terms of t representing the total cost of the gym membership over t months.
Answer:
C=25t+100
Step-by-step explanation:
Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at random, what is the probability that the first one is horror and the second one is action?
Answer:
its in order from 2 to 3
Step-by-step explanation:
Solve the equation x^2 = 10.
Answer: [tex]\sqrt{10\\[/tex]
Step-by-step explanation:
To solve for x you would have to take the square root of both side.
Answer:
x = about 3.16Step-by-step explanation:
In algebra, the goal is to isolate the variable, so its value can be determined.
x^2 = 10
square root both sides
x = [tex]\sqrt{10}[/tex] or about 3.16San is using an industrial kitchen to bake several batches of his famous chocolate chip granola bars. He needs to weigh out 78 ounces of chocolate chips, plus or minus 2.5 ounces. Given the equation, |c-78|=2.5, find the minimum and maximum amount of c of chocolate chips that he can weigh out. Explain all steps and solve.
Step-by-step explanation:
given that San weighs out 78 ounces
given that the margin is 2.5 ounces.
and also given that the formula is
|c-78|=2.5
maximum
the maximum ounces is= 78+2.5
the maximum ounces is= 80.5 ounces
minimum
the maximum ounces is= 78-2.5
the maximum ounces is= 76.5 ounces
Which of these graphs represents a function?
A. W
B. X
C. Y
D. Z
Answer:
Y
Step-by-step explanation: