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brilliants [131]
3 years ago
8

Find the two numbers whose sum is54 and whose difference is 4

Mathematics
2 answers:
Andrew [12]3 years ago
7 0
Sum of 54: X + Y = 54
Difference is 4: X - Y = 4

Solve for one variable first.

X = 4 + y (rewritten from second equation)

Now plug into the first equation for x

4 + y + y = 54
4 + 2y = 54 (subtract 4)
2y = 50 (divide by 2)
Y = 25

Now use Y to solve for X

X - 25 = 4 (add 25 on each side)
X = 29
harkovskaia [24]3 years ago
4 0

Answer: I can not see the picture

Step-by-step explanation:

can you show it?

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Solve for y , what is 9x+3y=4 ??
lora16 [44]
To solve for y, isolate the variable to one side.
 9x+3y=4
-9x      -9x
~~~~~~~~
3y= -9x+4
~~~~~~~~
3y= -9x+4 (Divide both sides by 3)

y=-3x+4
4 0
3 years ago
A 20° sector in a circle has an area of 21.51 pi yd?.
kodGreya [7K]

Answer

____________________________________________________________

This would be 21.5π * 360 / 20 yd^2  =  1215.18 yd^2 ( using pi = 3.14)

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5 0
3 years ago
The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typo
muminat

Answer:

The required probability is 0.55404.

Step-by-step explanation:

Consider the provided information.

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.

Average error for 7 pages booklet and 5 pages booklet series is:

λ = 0.2×7 + 0.3×5 = 2.9

According to Poisson distribution: {\displaystyle P(k{\text{ events in interval}})={\frac {\lambda ^{k}e^{-\lambda }}{k!}}}

Where \lambda is average number of events.

The probability of more than 2 typographical errors in the two booklets in total is:

P(k > 2)= 1 - {P(k = 0) + P(k = 1) + P(k = 2)}

Substitute the respective values in the above formula.

P(k > 2)= 1 - ({\frac {2.9 ^{0}e^{-2.9}}{0!}} + \frac {2.9 ^{1}e^{-2.9}}{1!}} + \frac {2.9 ^{2}e^{-2.9}}{2!}})

P(k > 2)= 1 - (0.44596)

P(k > 2)=0.55404

Hence, the required probability is 0.55404.

4 0
3 years ago
(5x^2−3x−2)−(−2x^2−x+10)<br> Express the answer in standard form
masha68 [24]

Answer:

7x2−2x−12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following statements is true?
MakcuM [25]

Answer:

e. All of these statements are true.

Step-by-step explanation:

The first statement is true because an experiment is actually the process by which an observation is made. Consider rolling a die. It is called an experiment because we observe which side of the die lands facing upwards and that number is noted.

The second statement is also true because a simple event is the one which can not be further decomposed into an event. (Compound events can be decomposed into simple events).

The third statement is also true that an event is the collection of one or more simple events. An event can contain either simple events of compound events which are basically a combination of two or more simple events.

Hence, we can say that <u>all the statements are true</u>.

6 0
4 years ago
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