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egoroff_w [7]
2 years ago
8

Please help me with this problem

Mathematics
1 answer:
user100 [1]2 years ago
7 0

Answer:

Keisha bought 3 sandwiches and 5 lemonades.

Equations:  x + y = 8       2x + y = 11

Step-by-step explanation:

To solve a problem with two variables, you need to set up a system of equations comparing the two variables and solve using either substitution or elimination.  If 'x' represents the number of sandwiches and 'y' represents the number of lemonades, then x + y = 8 because they bought a total of 8 items.  Also, the cost of each item is given as well as the total amount of money spent.  So, our second equation is: 2x + y = 11.   We can use inverse operations to solve for 'y' in the first equation:  x + y - x = 8 - x which simplifies to: y = 8 - x.  We can then use this expression to substitute in for the variable 'y' in the second equation:  2x + 8 - x = 11.

Combine like terms:  x + 8 = 11

Inverse Operations: x +8 - 8 = 11 - 8

Solve:  x = 3, so Keisha bought 3 sandwiches

Solve for y:  y = 8 - 3 = 5, so Keisha bought 5 lemonades

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2 years ago
A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

7 0
3 years ago
How many kilograms are equal to 3,200 grams?
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Answer:

3.2

Step-by-step explanation:

1000 grams in a kilogram

3200/1000=3.2

5 0
2 years ago
Read 2 more answers
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Artist 52 [7]

Answer:

<h2>204π units²</h2>

Step-by-step explanation:

The lateral area of the cylinder includes both the side and the ends.

The area of the side can be found by calculating the circumference of the cylinder and multiplying that by the height:  A = 2π(6 units )(11 units) = 132π units².

The area of one end of this cylinder can be found by applying the "area of a circle" formula:  A = πr².  Here, with r = 6 units, A = π(6 units)² = 36π units².  Since the cylinder has two ends, the total area of the ends is thus 2(36π units) = 72π units.

The total lateral area of the cylinder is thus 72π units² + 132π units², or 204π units²

7 0
3 years ago
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fomenos
So point slope form is y=mx+b where m=slope and b=y intercept so

in (x,y) form
one solution is x=1 and y=3, also slope is 2 so
m=2
subsitute
3=2(1)+b
3=2+b
subtract 2
1=b
equation is
y=2x+1

tricky answers so simplify them
A: y-1=2(x-3)
distribute
y-1=2x-6
add 1
y=2x-5
not the answer

B: y-3=2(x-1)
distribute
y-3=2x-2
add 3
y=2x+1
correct
the answer is B
5 0
3 years ago
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