Answer:
Here's how to solve it.
Step-by-step explanation:
Ok so, a negative integer and positive ALWAYS equals a negative.
Negative and negative equals positive because it cancels out.
Positive and Positive equals positive.
So to answer your question What negative number times by a positive equals -10?
Well 5 * 2 = 10 Right?
So -5 * 2 = -10
Hope this Helps.
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]
There are 12 kittens. If they all average 4.7 pounds, what is the total weight of all 12 kittens
Answer:
56.4 pounds
Step-by-step explanation:
Multiply 12 (kittens) by 4.7(pounds) and you get 56.4 pounds, the total weight of the kittens combined.
-4/5(-8x+6)=1+7 Please Help
Answer:
x = 2
Step-by-step explanation:
-4/5(-8x + 6) = 1 + 7 (distribute first)
6.4x -4.8 = 8 (add 4.8 on both sides)
6.4x = 12.8 (divide by 6.4)
x = 2
PLUG IN
-4/5(-8(2) + 6) = 1 + 7
-4/5(-16 + 6) = 8
-4/5(-10) = 8
8 = 8
A rectangle’s width is 8 inches long. If the length is 3 times the width, what is the perimeter of the rectangle?
Answer:
the perimeter is 64
Step-by-step explanation:
the length is 24 because 8*3 = 24 and since it is perimeter of a rectangle there are two sides that are the same length which is the length are 24+24 and width is 8+8 and all together
24+24+8+8=64
All of the following are equivalent, except
(12 + 3)x
12x + 3x
(12 + 3x)x
15x
Zoe put in 80 hours of work in July for which she is entitled to $920.65. She also works 5 hours overtime. If she receives a paycheck of $1030.45 for the month, how much is she paid for an hour of overtime work?
Answer:
1951.1
Step-by-step explanation:
Just add her money up 920.65 + 1030.45= 1951.1
At a convenience store, you have a choice of five diet drinks, 10 regular drinks, six bags of fat-free chips, and 10 bags of regular chips. What is the probability that you will buy a regular drink and a regular bag of chips?
Answer:
I guess that the purchase is at random, then let's see the possible options:
5 diet drinks.
10 regular drinks.
Total drinks = 15
6 bags of fat-free chips
10 bags of regular chips.
Total chips = 16.
Probability of buying at random, a regular drink is equal to the number of regular drinks divided the total number of drinks:
p1 = 5/15 = 1/3
Probability of buying at random a regular bag of chips, we use the same reasoning as before.
p2 = 6/16 = 3/8
The joint probability will be equal to the product of the individual probabilities:
P = p1*p2 = (1/3)*(3/8) = 1/8.
Answer:
the answer is 5/12
Step-by-step explanation:
2x+2=4+1x
and we are solving for X
Answer:
the answer is x = 2
Step-by-step explanation:
2x+2=4+1x
(2x-1x)+2= 4 +(1x-1x)
1x+2=4
1x(2-2)=(4-2
1x=2
2/1=x
x=2
Answer: X=2
I might be wrong
Does this graph represent a proportional relationship between days and inches?
Explain your reasoning
Sorry, I feel so dumb but the x in 18x2 is not a variable right?
Answer:
32
Step-by-step explanation:
the x is not a variable
How do I convert 1/8 into a decimal ?
Answer:
0.125
Step-by-step explanation:
what is -2x + 12 divided by 4
Answer:
x=4
Step-by-step explanation:
First set the equation equal to 4:
-2x +12=4
Subtract 12 from both sides:
-2x +12=4
-12 -12
-2x=-8
Then divide each side by -2 to isolate the x:
-2x/-2=-8/-2
x=4
5/12 divided by 7/8 Plz help!!!!!!!
Answer:
10/21
Step-by-step explanation:
The low temperatures in two cities are being compared. In City 1, the range in temperature is 20°F and the IQR is 7°F.
In City 2, the range in temperature is 15°F and the IQR is 7°F.
What might you conclude about the cities based on the ranges and interquartile ranges?
B.The weather pattern in City 2 is more consistent than the weather pattern in City 1
explanation:
Range and interquartile range (IQR) measures the spread of data. Range measure the overall spread and IQR measures spread in 50% of data.
Range is calculated by differencevof maximum and minimum value whereas IQR is calculated by difference of First quartile and third quartile.
Since, the range and IQR is less for City 2 as compared to City 1.
Thus ,weather pattern of City 2 is more consistent as compared to City 1.
Answer: b
Step-by-step explanation: I did it on my paper and it kind of took a long time
Jennifer received a coupon for 40% off her purchase of a regularly priced item from her favorite
store. If Jennifer wants to order a shirt from the store that is originally $30, how much would
she have to pay for the shirt after the coupon?
Answer:
18$
Step-by-step explanation:
What is the equation of this line?
Answer:
y=4/3x‒4
Step-by-step explanation:
first list the pairs as the following
{(3,0),(0,‒4)}
&prove your answer by substitute the pairs instead of x&y
when we substitute the pairs (3,0)
y=4/3x‒4
0=4/3(3)‒4
0=4‒4
0=0
when we substitute the pairs (0,‒4)
y=4/3x‒4
‒4=4/3(0)‒4
‒4=0-4
‒4=‒4
so i hope my answer helps you
help mee
3(2x + 5) - 3 =
Explain! Reward! Thank you!!!!
Answer:
4/7
Step-by-step explanation:
because 40 of the campers are male so thats 4 out of 7.
Answer:
it's 3/7
Step-by-step explanation:
there is 70 campers total and 40 of them are boys.
40 + 30 = 70
So Make the 30 and 70 a 3 and 7 and you got 3/7
It's kinda hard for me to explain lol
1 point
Solve: 0.75 (x + 200) = 150.5 (2 – 28)
type your answer...
Answer:
[tex] \huge \: x = - 5417.33[/tex]
Step-by-step explanation:
[tex]0.75 (x + 200) = 150.5 (2 – 28) \\ [/tex]
Expand the terms and simplify
That's
[tex]0.75x + 150 = 301 - 4214 \\ 0.75x + 150 = - 3913[/tex]
Subtract 150 from both sides of the equation
[tex]0.75x + 150 - 150 = - 3913 - 150 \\ 0.75x = - 4063[/tex]
Divide both sides by 0.75
[tex] \frac{0.75x}{0.75} = - \frac{4063}{0.75} \\ x = - 5417.333333[/tex]
We have the final answer as
x = - 5417.33Hope this helps you
Help please!!!!!!!!!!
Answer:
The answer is x=18, I believe.
what is the range of a function h(w) = 19- 3w if the domain is {-4, -1,2,5}
The tukmmk;ga#p[kpgrakkgkpkgweODKG\LMA
What is the sum of zeros in this equation (m-10)(8m-1)=0? Ente4 your ancwer as a fraction. PLSSS I RLLYYY NEEDD HELPP
Answer:
10 [tex]\frac{1}{8}[/tex] = [tex]\frac{81}{8}[/tex]
Step-by-step explanation:
Given
(m - 10)(8m - 1) = 0
Equate each factor to zero and solve for m
m - 10 = 0 ⇒ m = 10
8m - 1 = 0 ⇒ 8m = 1 ⇒ m = [tex]\frac{1}{8}[/tex]
Thus sum of roots = 10 + [tex]\frac{1}{8}[/tex] = 10 [tex]\frac{1}{8}[/tex] = [tex]\frac{81}{8}[/tex]
Find the unit rate of buying a $36 shirt and getting another one for equal or lesser value for free
Answer:
each shirt would cost $13≤ unit rate <$36
Step-by-step explanation:
50 points!!! ANSWER ASAP WHAT GOES IN THE BOX?
Answer:
2⁹
Step-by-step explanation:
Using the rule of Indices:
aⁿ x aˣ = aⁿ⁺ˣ
Hence: 2²⁺³⁺⁴
= 2⁹
Answer:
9
Step-by-step explanation:
Since it is a multiplication problem you would add all of the exponents up.
2^2 * 2^3 * 2^4
2^(2+3+4)
Water weighs 8 pounds per gallon. How many ounces per gallons does water weight
Answer: 128
Step-by-step explanation:
Please help me thanks
Answer:
A. Pair 1
Step-by-step explanation:
B is just repositioned, C is a reflection, and D is also a reflection.
The expression 5/2k −2 factored is
Answer:
Factored out is 1/2 or 0.5
Step-by-step explanation:
5k - 4 over 2
(11x-28)(7x-8) find x
After solving (11x-28)=(7x-8) the value of x is 5
Given:
(11x-28) = (7x-8)
11x - 28 - 7x + 8 = 0
(11x - 7x) - 28 + 8 = 0
4x - 28 + 8 = 0
4x - 20 = 0
4x = 20
Dividing by 4 on both sides we get,
4x/4 = 20/4
x = 20/4
x = 5
Therefore after solving (11x-28)=(7x-8) the value of x is 5.
Learn more about the solving and x here:
https://brainly.com/question/24225997
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Find the equation of the line that
is parallel to y = 1/2x – 4 and
contains the point (4,5).
y = 1/2x + [?]
Answer:
Step-by-step explanation:
y - 5 = 1/2(x - 4)
y - 5 = 1/2x - 2
y = 1/2x + 3
Find the value of each variable and the measure of each labeled angle 1-3
Answer:
1.) x = 30 ; 150° 2.) x = 30 ; 50° 3.) x = 40 ; 122°
Step-by-step explanation:
Each one of the problems revolves around vertical angles. Verticle angles are equal to each other.
1.)
5x = 3x + 60
2x = 60 (Subtracted 3x on both sides.)
x = 30 (Divided 2 on both sides.)
Know that we know the variable's value, time to find the angles.
5(30) = 3(30) + 60
150 = 150
This means the angles are 150°.
2.)
3x - 40 = x + 20
2x - 40 = 20
2x = 60
x = 30
3(30) - 40 = (30) + 20
90 - 40 = 50
50 = 50
This means the angles are 50°.
3.)
5x - 78 = 3x + 2
2x - 78 = 2
2x = 80
x = 40
5(40) - 78 = 3(40) + 2
122 = 122
This means the angles are 122°.
The value of x is 30° and the unknown angle is 150°.
We need to find the unknown angles from the given figure.
What are vertically opposite angles?The vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
From figure 1:
(5x)°=(3x+60)°
⇒5x-3x=60
⇒2x=60
⇒x=30
So, (5x)°=(3x+60)°=150°
From figure 2:
(3x-40)°=(x+20)°
⇒3x-x=60
⇒2x=60
⇒x=30
So, (3x-40)°=(x+20)°=50°
From figure 3:
(3x+2)°=(5x-78)°
⇒5x-3x=78+2
⇒2x=80
⇒x=40
So, (3x+2)°=(5x-78)°=122°
Therefore, the value of x is 30° and the unknown angle is 150°.
To learn more about the vertically opposite angles visit:
https://brainly.com/question/11207472.
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