Solve th simultaneous equations 3x + y = 17 2x +y = 12

Evaluate 5 + b ÷ (11 - 9) for b = 14.

Trava [24]

Answer:

12

Step-by-step explanation:

5 + b ÷ (11 - 9)

Substitute b = 14

5 + 14 ÷ (11 - 9)

Work the order of operations from left to right

Since there are no exponents, parentheses first

5 + 14 ÷ (11 - 9)

5+14 ÷ 2

Then division

5+7

Then addition

12

8 0

3 years ago

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If you need 2 liters of soda for every 12 students at the school dance, and you sold 360 student tickets to the dance. About how

GalinKa [24]

Answer:

60 liters

Step-by-step explanation:

360/12=30

30x2=60 liters

Hope this helps! :)

4 0

3 years ago

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What is { 1 + 7 - 6 + 99 }

Igoryamba

1 + 7 - 6 + 99 = 101

Step-by-step explanation:

7 + 1 = 8

8 - 6 = 2

99 + 2 = 101

Hope to be brainliest! #SpreadTheKnowledge

4 0

3 years ago

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Enter the value of p so that the expression 18n + 27 is equivalent to p(2n + 3)

Mamont248 [21]

Answer:

P = 9

Step-by-step explanation:

When P = 9, we could multiply 9 to (2n+ 3).

We would get:

18n + 27

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Have a great summer :)

7 0

3 years ago

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Pavel [41]

Answer:

0.818

Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them with reposition, because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

$P(D = 0) = (1-0.06)^{13} = 0.447$
$P(D = 1) = {13 \choose 1} * 0.06^1 * (1-0.06)^{12} = 13*0.06*0.94^{12} = 0.371$

We conclude that

$P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818$

Hence, the shipment will be accepted with probability 0.818

I hope this helps you!

6 0

3 years ago