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3 years ago

GUYS I NEED HELP URGENTLY!!!!!

Mathematics

1 answer:

stepan [7]3 years ago

8 0

Answer:

y = 4x-3

Step-by-step explanation:

First we need to determine the slope

Using two points on the line (0,-3) (1,1)

Using the slope formula

m = (y2-y1) /(x2-x1)

= (1- -3)/(1-0)

(1+3)/ (1-0)

We know the y intercept, -3

y = mx+b where m is the slope and b is the y intercept

y = 4x-3

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In a survey among 900 students of a school, it was found that 600 liked apple, 500 liked orange and 125 did not like any fruits.

Tpy6a [65]

Refer to the attachment.

Step-by-step explanation:

I hope it'll help you...

4 0

3 years ago

[Calculus, Derivatives] Can a function be differentiable at certain points even if the entire function is not differentiable?

koban [17]

A function is differentiable if you can find the derivative at every point in its domain. In the case of f(x) = |x+2|, the function wouldn't be considered differentiable unless you specified a certain sub-interval such as (5,9) that doesn't include x = -2. Without clarifying the interval, the entire function overall is not differentiable even if there's only one point at issue here (because again we look at the entire domain). Though to be fair, you could easily say "the function f(x) = |x+2| is differentiable everywhere but x = -2" and would be correct. So it just depends on your wording really.

5 0

4 years ago

Find the mean deviation of 1,2,3 and 4

castortr0y [4]

1st, find the mean of all values. 1+2+3+4=10 10/4=2.5 The mean is 2.5.
2nd, find the distance of each value from the mean. So 2.5-1=1.5; the distance between 1 and 2.5 is 1.5. Repeat it for all of them, and you get 1.5, .5, .5, and 1.5.
3rd, you take each distance and find the mean. 1.5+.5+.5+1.5=4 4/4=1 The mean deviation is 1.

6 0

3 years ago

The average wall thickness of 25 panes of glass is 4.05 mm. The standard deviation of the thickness of the 25 panes is measured

mina [271]

Answer:

u => 4,028

Step-by-step explanation:

To find the answer, we have the following formula:

u => m - t (alpha, n-1) * [sd / (n) ^ (1/2)]

where m is the mean.

where sd is the standard deviation.

where n is the sample size.

t is a parameter that depends on the confidence interval and the sample size.

alpha = 1 - ci

ci = 90% = 0.9

Therefore, alpha = 1 - 0.9 = 0.1.

n - 1 = 25 - 1 = 24

So it would come being t (0.1, 24), if we look in the table, which I will attach the value of t is equal to 1.318.

We know the rest of the values, m = 4.05; sd = 0.08; n = 25

u => 4.05 - 1,318 * [0.08 / (25) ^ (1/2)]

u => 4.028

Which means that the interval with a 90% confidence of the wall thickness measurement is:

u => 4.028

6 0

4 years ago

PLEASE HELP PRE CAL!!

Len [333]

Answer:

Width = 2x²

Length = 7x² + 3

Step-by-step explanation:

∵ The area of a rectangle is $14x^{4}+6x^{2}$

∵ Its width is the greatest common monomial factor of $14x^{4}$ and 6x²

- Let us find the greatest common factor of 14 , 6 and $x^{4}$ , x²

∵ The factors of 14 are 1, 2, 7, 14

∵ The factors of 6 are 1, 2, 3, 6

∵ The common factors of 14 and 6 are 1, 2

∵ The greatest one is 2

∴ The greatest common factor of 14 and 6 is 2

- The greatest common factor of monomials is the variable with

the smallest power

∴ The greatest common factor of $x^{4}$ and x² is x²

∴ The greatest common monomial factor of $14x^{4}$ and 6x² is 2x²

∴ The width of the rectangle is 2x²

To find the length divide the area by the width

∵ The area = $14x^{4}+6x^{2}$

∵ The width = 2x²

∴ The length = ( $14x^{4}+6x^{2}$ ) ÷ (2x²)

∵ $14x^{4}$ ÷ 2x² = 7x²

∵ 6x² ÷ 2x² = 3

∴ ( $14x^{4}+6x^{2}$ ) ÷ (2x²) = 7x² + 3

∴ The length of the rectangle is 7x² + 3

8 0

3 years ago