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3 years ago

Which expression is equivalent??? Please help!!

Mathematics

1 answer:

My name is Ann [436]3 years ago

8 0

Answer:

answer is d.-3/2x +5

Step-by-step explanation:

this was tough but I did it. First you multiply all the terms with 1/4. Then just simplify the terms by breaking them down and then apply normal addition and subtraction. Simple. Thank you

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Inessa05 [86]

Need to see the picture ..?

5 0

3 years ago

Find the missing segment in the image below

pentagon [3]

Answer:

x = 12

Step-by-step explanation:

Missing length of the segment is the altitude of the right triangle.

Based on the geometric mean theorem, we would have the following:

h = √(ab)

Where,

h = x

a = 16

b = 9

Plug in the values:

x = √(16*9)

x = √144

x = 12

3 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

A car travels 0.75 every minute. Explain how could you use proportional reasoning to find how far the car travels in one hour

CaHeK987 [17]

If you know that the car travels 0.75 per minute and that there are 60 minutes are in a hour, you could multiply 0.75 with 60, which gives you an answer of 45.

7 0

3 years ago

Kaitlyn is making big goods for charity bake sale he places a tray of scones a tray of muffins and a tray of cookies in the oven

finlep [7]

Answer:

So:

Counting from a given time t = 0min, we know that:

Each 15 mins she removes the scones

Each 12 mins she removes the muffins

Each 10 mins she removes the cookies.

So when will she remove both at the same time?

Well, this will happen in the smallest common multiple of 15, 12 and 10.

or at LCM(10, 12, 15).

How we find it?

well, in this case is easy.

All the multiples of 10 end with a zero.

So let's find the multiples of 12 and 15 that also end with a zero:

12*6 = 60

15*4 = 60

and

10*6 = 60

So the LCM(10,12,15) = 60.

Another way is by calculating:

10*12*15/(GCF(10,12)*GCM(12,15)*GCM(10,15)

Where GCF = greatest common factor.

Between 10 and 12 is 2.

Between 12 and 15 is 3

Between 10 and 15 is 5.

Then:

10*12*15/(2*3*5) = 60.

This means that 60 minutes after she starts, she will remove the scones, muffins and cookies at the same time.

7 0

3 years ago