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3 years ago

What is the slope of the line with the following equation? (y-3)= -4(x-5)

Mathematics

2 answers:

Katarina [22]3 years ago

8 0

Answer:

-4

Step-by-step explanation:

First express it in the form of y=mx+b where m is the slope and b is the y-intercept

y-3=-4x+20

y=-4x+20+3

y=-4x+23 then m=-4 which is the slope

bekas [8.4K]3 years ago

4 0

Answer:

slope = - 4

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = - 4(x - 5) ← is in point- slope form

with slope m = - 4

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Need help ??????????????

lesantik [10]

Answer: the answer is the first one ,the third one , and the fourth

Step-by-step explanation:5x5 25

15x15 225

6 0

3 years ago

The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day

Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(between 236 and 281 days)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%$

b) a) P(last between 236 and 296)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%$

c) If the data is not normally distributed.

Then, according to Chebyshev's theorem, at least $1-\dfrac{1}{k^2}$ data lies within k standard deviation of mean.

For k = 2

$1-\dfrac{1}{(2)^2} = 75\%$

Atleast 75% of data lies within two standard deviation for a non normal data.

Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.

7 0

3 years ago

Che sum of two numbers is 2. If one number is subtracted from the other, their difference is - 8. Find the numbeRs

goldfiish [28.3K]

I wanna say 10 or ether -10 since if it was subtracted from 2 then it would equal -8

7 0

2 years ago

Read 2 more answers

I need help with my math work.

Lesechka [4]

There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.

Let's translate the question.

Solution to the system

That's the x and y values where the two lines cross. That's because the meeting point is the value of x and y that satisfies both equations.

Approximation ... to the nearest integer values

Where two integer grid lines cross is called a lattice point. It's a point with integer coordinates. Our solution, the meet of these two lines, doesn't fall exactly on a lattice point. The nearest integer values means the closest lattice point to our intersection of lines.

Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.

Answer: (2,3) second choice

6 0

3 years ago

Find the value of x for which 2x ^(1/ 2) = 32.

Mrac [35]

Answer:

The value of x will be 8

Step-by-step explanation:

We have given that $2\sqrt{x}=32$

We have to find the value of x

As $2\sqrt{x}=32$

For finding the value of x we have to square both side

On squaring both side

We done squaring both side for easy simplification

$4x=32$

So x = 8

So the value of x will be 8

So answer will be 8

5 0

3 years ago