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goldfiish [28.3K]
4 years ago
13

Find all real solutions:

Mathematics
1 answer:
Yakvenalex [24]4 years ago
6 0
\frac{1}{x-1}+\frac{1}{x+2}=\frac{5}{4}|\cdot4(x-1)(x+2)\\
D:x\not=1 \wedge x\not=-2\\
4(x+2)+4(x-1)=5(x-1)(x+2)\\
4x+8+4x-4=5(x^2+2x-x-2)\\
8x+4=5x^2+5x-10\\
5x^2-3x-14=0\\
5x^2-10x+7x-14=0\\
5x(x-2)+7(x-2)=0\\
(5x+7)(x-2)=0\\
x=-\frac{7}{5}\vee x=2
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How do I factor and simplify this?​
leonid [27]

Step-by-step explanation:

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5 0
3 years ago
What is the volume of the hemisphere? 583.2cm^3cm 3 291.6cm^3cm 3 6882.3cm^3cm 3 3441.1cm^3cm 3 Item at position 3
Sveta_85 [38]

Answer:

See Explanation

Step-by-step explanation:

The question has missing details; as the radius or an attachment of the hemisphere is not given.

However, I'll solve on a general terms.

The volume of a hemisphere is: V = \frac{2}{3}\pi r^3

Take for instance

r = 14.9cm

The volume becomes:

V = \frac{2}{3} * 3.142 * 14.9^3

V = \frac{2 * 3.142 * 14.9^3}{3}

V = \frac{20787.151516}{3}

V = 6929.051cm^3

<em>So, all you need to do is plug in the value of radius in the formula.</em>

7 0
3 years ago
PLZZ HELP ME If there are 14 green Skittles, how many yellow ones are there?
gulaghasi [49]
<span>Let's look at the information that you do have.
y = yellow
g = green

g + y = 38
</span><span>g = 38 - y

If there are 14 green skittles,then we know that:
</span>14 + y = 38
14 = 38 - y<span>
so, we can then do the equation:
38 - 14 = y
38 - 14 = 24
y = 24
</span>
So, the answer is 24 green skittles.
3 0
4 years ago
Consider the probability that fewer than 26 out of 107 cell phone calls will be disconnected. Assume the probability that a give
anyanavicka [17]

Answer:

We assume the condition of independence satisifed.

We need to check the following conditions in order to use the normal approximation.

np=107*0.98=104.86 \geq 10

n(1-p)=107*(1-0.98)=2.14 < 10

So we see that we satisfy the first condition, but the second no so then we can't apply the approximation for this case, since we need both conditions at the same time in order to use the normal approximation.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=107, p=0.98)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

We assume the condition of independence satisifed.

We need to check the following conditions in order to use the normal approximation.

np=107*0.98=104.86 \geq 10

n(1-p)=107*(1-0.98)=2.14 < 10

So we see that we satisfy the first condition, but the second no so then we can't apply the approximation for this case, since we need both conditions at the same time in order to use the normal approximation.

4 0
3 years ago
[6TH GRADE] Kidneys are components of the urinary system, a subsystem that filters waste from the blood. A kidney is made up of
Nana76 [90]

Answer:

D. A kidney is an organ is correct.

Step-by-step explanation:

A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.

A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.

Therefore, the correct answer is D. A kidney is an organ.

Hope this helps! :D

8 0
3 years ago
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