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zmey [24]
3 years ago
7

How many solutions does -3x+15=3(5-x) have

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0

Answer:

Infinite solutions

Step-by-step explanation:

So if simplified it would be

-3x+15=15-3x

Which is basically the same thing if arranged

15-3x=15-3x

-3x+15 can also be 15-3x still the same thing as adding 15 to -3x

So since these are equal anything could be used

like try 0

Both get 15

Try 1

Both get 12

Try legit any number

youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)

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The temperature readings from a thermocouple in a furnace fluctuate according to a cumulative distribution function,
Oliga [24]

Answer:

P(x

P(x

P(x>808.40) = 0.58

P(x\le805.40\ or\ x\ge 808.40) = 0.85

Step-by-step explanation:

Given:

F(x) = \left\{\begin{array}{ll}{0} &; {x

Solving (a): P(x < 810)

To solve this, we make use of:

P(x

Because

800^\circ C \le 810 \le 820^\circ C

So:

F(x) = 0.05 * 810 -40

F(x) = 40.5 -40

F(x) = 0.5

Hence:

P(x

Solving (b): P(x < 800)

To solve this, we make use of:

P(x

Because:

x < 800^\circ C

So:

P(x

Solving (c): P(x > 808.40)

Here, we make use of complement rule:

P(x>808.40) = 1 - P(x \le 808.40)

Where:

P(x\le808.40) = 0.05x - 40

P(x\le808.40) = 0.05*808.40 - 40

P(x\le808.40) = 0.42

So:

P(x>808.40) = 1 - 0.42

P(x>808.40) = 0.58

Solving (d) The probability that the temperature lies outside 805.60 and 808.40

First, we calculate the probability that it lies within.

This is represented as:

P(805.40 < x < 808.40)

This is calculated using:

P(805.40 < x < 808.40) = F(808.40) - F(805.40)

P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)

P(805.40 < x < 808.40) = 0.42 - (0.27)

P(805.40 < x < 808.40) = 0.42 - 0.27

P(805.40 < x < 808.40) = 0.15

Using complement rule, the required probability is:

P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15

P(x\le805.40\ or\ x\ge 808.40) = 0.85

5 0
3 years ago
Determine whether the binomial is a factor of f(x).<br><br> f(x) = x3 + 11x2 + 24x - 36; x - 4
attashe74 [19]
If it is, then f(4) would be equal 0.

f(4)=4^3+11\cdot4^2+24\cdot4-36\\&#10;f(4)=64+11\cdot16+96-36\\&#10;f(4)=124+176\\&#10;f(4)=300\not =0 \Rightarrow \text{ it isn't}
8 0
3 years ago
How the hell did I get a notification that I answered a question i didn't create???
igomit [66]

Answer:

i dont know same thing

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Ratios, decimals, simplest form
Aleks04 [339]
101 to 263, 101 / 263,
8 0
3 years ago
Hi what is the anwer for this
IRISSAK [1]

Answer:

2.5cm^2

Step-by-step explanation:

so diameter is basically radius*2...to find radius(since area of circle is pi*r^2 we need to divide diameter by 2)

so 1.8/2=0.9

now,

pi*0.9^2

pi*0.81

2.5 cm^2

4 0
3 years ago
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