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Harlamova29_29 [7]

3 years ago

11

How many times does 1/3 go into 1/18?

2 answers:

Verizon [17]3 years ago

5 0

Answer: 3/18 or you can simplify it to 1/6

Step-by-step explanation: You keep 1/18 , change the division sign to multiplication , and flip 1/3 to 3/1 so the problem goes from

1/18 / 1/3 to

1/18 * 3/1 = 1/6

Orlov [11]3 years ago

4 0

6 is the answer 18 divided by 3 equals to 6 so that’s the answer

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Consider the equation: -2x+5y=20

raketka [301]

Answer:

$- 2x + 5y = 20 \\ 5y = 2x + 20 \\ y = \frac{2}{5} x + 4 \\ slope = \frac{2}{5} \\ y - intercept = 4$

8 0

2 years ago

A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly

Keith_Richards [23]

Answer:

0.7208 = 72.08% probability that this whole shipment will be accepted.

Step-by-step explanation:

For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

4% rate of defects

This means that $p = 0.04$

26 tablets

This means that $n = 26$

What is the probability that this whole shipment will be accepted?

Probability that at most one tablet does not meet the specifications, which is:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Thus

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{26,0}.(0.04)^{0}.(0.96)^{26} = 0.3460$

$P(X = 1) = C_{26,1}.(0.04)^{1}.(0.96)^{25} = 0.3748$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.3460 + 0.3748 = 0.7208$

0.7208 = 72.08% probability that this whole shipment will be accepted.

3 0

3 years ago

Y=x+2 y=-3X <br><br>solve system of equations algebraically <br>

goblinko [34]

Answer:

(x,y) = -1/2 , 3/2

Step-by-step explanation:

Let y = x +2 ----- (1)

y = -3x ------ (2)

Put equal both sides x +2 = -3x

x = -3x -2

x +3x = -2

4x = -2

x = -1/2 Put it in 2nd equation

Y = -3 (-1/2)

y = 3/2

so (x,y) = -1/2 , 3/2

Hope you got it.

Please Mark as Brainliest.

8 0

2 years ago

A pool company is trying out several new drains. Drai n A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rat

shtirl [24]

108 ÷ 2 = 54 minutes
108 ÷ 5 = 21.6 minutes

8 0

3 years ago

A car travels at a constant speed.

ad-work [718]

Answer:

see below

Step-by-step explanation:

<h3>Given</h3>

Distance is 142.2 m, correct to 1 decimal place
Time is 7 seconds, correct to nearest second

<h3>To find:</h3>

Upper bound for the speed

<h3>Solution </h3>

<em>Upper bound for the speed = upper bound for distance/lower bound for time</em>

Upper bound for distance = 142.25 m (added 0.1/5 = 0.05)
Lower bound for time = 6.5 seconds (subtracted 1/2 = 0.5)

<u>Then, the speed is:</u>

142.25/6.5 = 21.88 m/s
21.88 = 21.9 m/s correct to 1 decimal place
21.88 = 22 m/s correct to nearest m/s

4 0

3 years ago