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OLga [1]
2 years ago
10

Pls help will give brainiest

Mathematics
2 answers:
Gre4nikov [31]2 years ago
5 0

Answer:

37

Step-by-step explanation:

Volume Formula: 4/3πr²

4/3×π×3² = 12π

12π = 37

MAXImum [283]2 years ago
4 0

Answer:

113

Step-by-step explanation:

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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
Someone help me with this question (No scammer links please)
egoroff_w [7]

Answer:

69cm

Step-by-step explanation:

3 0
2 years ago
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?
olga2289 [7]

Step 1

<u>Find the slope of the given line</u>

Let

A(-3,2)\ B(2,-1)

slope mAB is equal to

mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}

Step 2

<u>Find the slope of the line that is perpendicular to the given line</u>

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}

Step 3

<u>Find the equation of the line with mCD and the point (3,0)</u>

we know that

the equation of the line in the form point-slope is equal to

y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5

Multiply by 3 both sides

3y=5x-15

5x-3y=15

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation 5x-3y=15

4 0
2 years ago
Read 2 more answers
Homework Progress<br> 0<br> Find the nth term of the following sequence: 4 7 12 19 28
just olya [345]

<em>Answer:</em>

n²+3

<em>Explanation:</em>

The differences between the terms are not the same, so this is not "linear". Knowing that the sequence may have started with a 1, you can try subtracting the first number with a number to get 1, and use that number to subtract the rest.

4 - 3 = 1
7 - 3 = 4
12 - 3 = 9
19 - 3 = 16
28 - 3 = 25

In this case, subtracting 3 to all the numbers gave us perfect squares! So this means the nth term has to do with squaring the number and adding three afterward! This can be checked.

√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5

As we found the values of these terms by subtracting three first and then finding its square root, the nth term will be the opposite; squaring and then adding three! Again, this can be checked!

1² + 3 = 4
2² + 3 = 7
3² + 3 = 12
4² + 3 = 19
5² + 3 = 28

Hope this helps !! :D

5 0
1 year ago
Tom could grow potatoes, cabbages, and cauliflower on his farm. However, he has decided to grow only potatoes. What is Tom doing
dimaraw [331]
He is growing potatoes, probably to sell them
3 0
3 years ago
Read 2 more answers
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