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2 years ago

Pls help will give brainiest

Mathematics

2 answers:

Gre4nikov [31]2 years ago

5 0

Answer:

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:

$P(x$

$P(x>808.40) = 0.58$

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

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 $1$

Find the slope of the given line

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 $2$

Find the slope of the line that is perpendicular to the given line

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 $-1$

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

Step $3$

Find the equation of the line with mCD and the point (3,0)

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 0 Find the nth term of the following sequence: 4 7 12 19 28

just olya [345]

Answer:

n²+3

Explanation:

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