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iris [78.8K]
3 years ago
13

Solve the inequality: 3(k + 2) -3 < 15

Mathematics
1 answer:
grin007 [14]3 years ago
6 0

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

k < 4

Interval Notation:

(−∞, 4)

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a red ball and 4 white ball are in a box if two balls are drawn without replacement ,what is the probability of getting a red ba
BARSIC [14]

The probability is 1/5 to get a red ball in 1st draw and a white ball in 2nd draw.

<u>Step-by-step explanation:</u>

  • There are 1 red ball and 4 white balls in a box.
  • The total number of balls in the box = 1 red + 4 white = 5 balls.

The two balls are drawn without replacement.

<u>Drawing the first ball :</u>

The first draw should be a red ball.

The probability to get a red ball = No.of red balls / Total balls in the box.

We know that, No. of red balls is 1 and total balls in the box is 5.

P(red ball) = 1/5

<u>Drawing the second ball :</u>

The second draw should be a white ball.

The probability to get white ball = No.of white balls / Total balls in the box.

We know that,

No. of white balls is 4.

The total balls in the box after the first draw will be 4 balls.

P(white ball) = 4/4

The probability of getting a red ball on the first drawn and a white ball on the second​ draw = P(red ball) × P(white ball)

⇒ (1/5) × (4/4)

⇒ 4/20

⇒ 1/5

Therefore, the probability is 1/5 to get a red ball in 1st draw and a white ball in 2nd draw.

3 0
2 years ago
Refer to the graph below.
aksik [14]
You need 4 cups of flour, hope this helps!
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3 years ago
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Reduce then calculate 7/8 x 4/15 x 3/7 = ? <br><br> Can you help?
Zepler [3.9K]

since this is a multiplication, all the numerators are just factors of the product numerator and all denominators are just factors of the product denominator, so we can simply reorder them some, without changing the product.


\bf \cfrac{7}{8}\times \cfrac{4}{15}\times \cfrac{3}{7}\implies \cfrac{7}{7}\times \cfrac{4}{8}\times \cfrac{3}{15}\implies \cfrac{1}{1}\times \cfrac{1}{2}\times \cfrac{1}{5}\implies \cfrac{1\cdot 1\cdot 1}{1\cdot 2\cdot 5}\implies \cfrac{1}{10}

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2 years ago
One package of socks cost $7. How many packages can you but with $56?
Akimi4 [234]

Step-by-step explanation:

$7 = 1 package socks

%56 = ??

$56/$7 × 1 package socks

= 8 × 1

= 8 package socks

Hope it helps!

4 0
2 years ago
What is the caputal of idaho
zavuch27 [327]

Capital of Idaho is boise this is not a math question

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