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Rama09 [41]
3 years ago
10

Leona spent 5/8 of 2/3 of her allowance on magazines. What fractions of her total allowance did she spend on magazines? What fra

ctions did she have left?
Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

7x/12

Step-by-step explanation:

Let her entire allowance be represented by 'x'

She spent 5/8 of 2/3 of her allowance on magazines.

= 5/8×2/3

= 10/24

= 5/12

That 5/12 of 'x'

5/12x

Since her total allowance is x

She will be left with = x - 5/12x

x/1 - 5/12x

12x-5x/12x

= 7x/12

Hence she will be left with 7x/12

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Answer:

a. 0.12109

b. 0.0001668

c .0.9726

d. 0.01038

e. 0.01211

f. 0.000001731

Step-by-step explanation:

Sample size = 580

Defective units = 8

Number of picks = 2

a) If the first container is defective, there 7 defective containers left in a population of 579. The probability of selecting a defective one is:

P=\frac{7}{579}=0.121

b) The probability that both are defective is given by:

P=\frac{8}{580}*\frac{7}{579}= 0.000167

c) The probability that both are acceptable is given by:

P=\frac{580-8}{580}*\frac{579-8}{579}= 0.9726

d) In this case, two defective units were removed from the batch, the probability that the third is also defective is:

P=\frac{6}{578}}= 0.0104

e) In this case, one acceptable and one defective unit were removed from the batch, the probability that the third is also defective is:

P=\frac{7}{578}= 0.01211

f) The probability that all three are defective is given by:

P=\frac{8}{580}*\frac{7}{579}*\frac{6}{578} = 0.000001731

7 0
3 years ago
Can someone help me please
olganol [36]

Answer: valu of a

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Given that lines a and bare parallel, what angles formed on line b when cut by the transversal are congruent with <3
Evgesh-ka [11]

Alternate Interior Angles forms when two parallel lines cut by transversal.

Step-by-step explanation:

Transversal is a line that intersects two or more lines.

Alternate Interior Angles forms when two lines are cut by a Transversal, the pairs of angles on either side of the transversal and inside the two lines.

Take 8 angles, 1,2,3,4,5,6,7 & 8 present on the lines A & B. Let C is a transversal cutting the lines A & B.

Here the pairs of angles are 1 & 5, 2 & 6, 3 & 7, 4 & 8.

Alternate Interior angles are 3 & 5, 4 & 6.

If two parallel lines are cut by a transversal, then the alternate interior angles should form congruent.

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3 years ago
If AB = CA and m1 = 45°, what is m3?
navik [9.2K]

Answer:

B 45 degrees

Step-by-step explanation:

if AB and CA are = the M2 = 90 degrees

in an right triangle ware one angle is 90 degrees and one is 45 degrees the outer one will be 45 degrees  

the total of the angles in a triangle is 180 degrees so 180 - 90 = 90

90 - 45 = 45

so the remaining angle is 45.

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3 years ago
The Napoli family combined two bags of dry cat food into a plastic container. One bag had 5⁄6 kg of cat food. The other bag had
leonid [27]

Answer:

19/12 or 1 \frac{7}{12} kg

Step-by-step explanation:

5/6 + 3/4

10/12 + 9/12 = 19/12 or 1 \frac{7}{12} kg

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3 years ago
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