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Korolek [52]
3 years ago
10

Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pound of peanuts. How many 2-pound bags of peanuts

should Chad buy so that he can fill the 5/6-pound bags without having any peanuts left over
Mathematics
1 answer:
Pepsi [2]3 years ago
3 0
You need to get a whole so
5/6+5/6=10/6 not a whole
10/6+5/6 =15/6= not a whole
15/6 +5/6= 20/6 not a whole
20/6+5/6=25/6 not a whole
25/6+5/6=30/6
There are 5 wholes in 30/6 so 5 bags
Hoped this helped

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The monthly worldwide average number of airplane crashes of commercial airlines is 2.2. What is the probability that there will
Makovka662 [10]

Answer:

(a) more than 2 such accidents in the next month \approx 0.3773

(b) more than 4 such accidents in the next 2 months \approx 0.44882

(c) more than 5 such accidents in the next 3 more than 5 such accidents in the next 3 months \approx 0.64533

Step-by-step explanation:

Let  N be the  Random variable that marks the number of crashes in certain month.

Now let us use Poisson distribution since we are given with average number of crashes that is N \sim Pois(2.2)

(A)  more than 2 such accidents in the next month

Probability(more than 2 such accidents in the next month)=P(N>2)

P(N>2)=1-P(N=0)-P(N=1)-P(N=2)

=>1-e^-{2.2}-2.2e^{-2.2}-\frac{2.2^2}{2!}e^{2.2}

=> \approx 0.3773

B) more than 4 such accidents in the next 2 months

since the average number of crashes in 1 month is 2.2, the average number of crashes in two months is 4.4. hence, if we say that N_1 is the number of crashes  in 2 months, we have that N\simPois(4.4)

Thus,

Probability(more than 4 such accidents in the next 2 months)=P(N_1>4)

=1-P(N_1=0)-P(N_1=1)-P(N_1=2)=P(N_1=3)-P(N_1=4)

1-\sum_{k=1}^{4} \frac{4.4^{k}}{k !} e^{-4.4}

=> \approx 0.44882

C)  more than 5 such accidents in the next 3 more than 5 such accidents in the next 3 months

If we say that N_2 marks the number of crashes in the next 3 months , using the same argument as in (a) we have that  a N\simPois(6.6)

Hence

P(N_2>5)=1-\sum_{k=0}^{5} \frac{6.6^{k}}{k !} e^{-6.6}

=>\approx 0.64533

6 0
4 years ago
Using the figure show, find the missing values. Round each value. Every time I put this up people get it wrong
olga nikolaevna [1]

Answer:

I'm sorry, I can help you with only this one :( ∠F = 44°

Step-by-step explanation:

∠F = 180° - (46° + 90°) = 44°

8 0
3 years ago
An angle measures 31° . what is the measure of its complement?
torisob [31]
Subtract 31 from 90 and you will get 61 degrees all complement angles add up to be 90°
4 0
4 years ago
1.11 quiz use algebra to describe geometry part 2
Usimov [2.4K]

Answer : rotation of 90 counterclockwise° about the origin and then translation 2 unit up.

Explanation : In Δ RST, it is an right triangle with ∠R being the right angle. When we draw this triangle we see that long side of the Δ is close to the origin and the short one is below ∠R.

Now, Δ R'S'T', is also a right triangle. But he long side is parallel to the y axis and ∠S' is now above ∠R' instead of ∠S being to right of ∠R in the original Δ.

which clearly shows that the Δ is rotated at 90 degrees counter clockwise.

On drawing a new Δ; The point R" is at (1,-4), S" at (1,-1), and T" at (2,-4).

All three of these points are 2 units below the points R' S' T'.

We need to translate the triangle 2 units higher.

Therefore, the answer is to perform rotation of 90 counterclockwise° about the origin and then translation 2 unit up.

8 0
3 years ago
F(x)= squared x^2+7x+6
Temka [501]
Subtract
6
6
from both sides of the equation.
x
2
−
7
x
=
−
6
x
2
-
7
x
=
-
6
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
b
.
(
b
2
)
2
=
(
−
7
2
)
2
(
b
2
)
2
=
(
-
7
2
)
2
Add the term to each side of the equation.
x
2
−
7
x
+
(
−
7
2
)
2
=
−
6
+
(
−
7
2
)
2
x
2
-
7
x
+
(
-
7
2
)
2
=
-
6
+
(
-
7
2
)
2
Simplify the equation.
Tap for more steps...
x
2
−
7
x
+
49
4
=
25
4
x
2
-
7
x
+
49
4
=
25
4
Factor the perfect trinomial square into
(
x
−
7
2
)
2
(
x
-
7
2
)
2
.
(
x
−
7
2
)
2
=
25
4
(
x
-
7
2
)
2
=
25
4
Solve the equation for
x
x
.
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x
=
6
,
1
6 0
3 years ago
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