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Naya [18.7K]
3 years ago
7

Subtract the two expressions. 3x - 4 from -2x + 8

Mathematics
1 answer:
Margarita [4]3 years ago
5 0
-2x - 3x = -5x
8 - 4 = 4
-5x + 4
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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
Use the number line to add or subbtract integers please help me with this
Digiron [165]

Answer:

a)=+2 b)=1

Step-by-step explanation:

A positive plus a negative is equal to a positive a

8 0
3 years ago
Help me answer this question about congruent triangles. 50 points available.
Anuta_ua [19.1K]

Answer:

B

Step-by-step explanation:

No these triangles are not congruent.

<u>Left triangle</u>

Shortest side = 6 cm

Longest side = 13 cm

3rd side = unknown but < 13

<u>Right triangle</u>

Shortest side = 6 cm

Longest side = unknown but > 13

3rd side = 13 cm

Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.

We do not know if any of the angles are congruent.  If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.

3 0
2 years ago
A single tennis court is 75% the width of a doubles tennis court. The singles court is 27 feet wide. How wide is the doubles cou
grandymaker [24]
X = 75% * y

Where 'x' is the single tennis court width, and 'y' is the doubles tennis court width.

Plug in what we know:

27 = 75% * y

75% = 0.75

27 = 0.75 * y

27 = 0.75y

Divide 0.75 to both sides:

y = 36

So the doubles court is 36 feet wide.
6 0
3 years ago
Read 2 more answers
How can you tell by looking at the coordinates of the two triangles that Δ A'B'C' is a 180° rotation of Δ ABC? A) The coordinate
MariettaO [177]

under a rotation about the origin of 180°

a point (x, y ) → (- x, - y )

hence D is correct, both the x and y coordinates of the points on ΔA'B'C' have opposite signs from the corresponding points on ΔABC


7 0
3 years ago
Read 2 more answers
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