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3 years ago

Find the slope of the line that passes through the pair of points (4,5) (10,0)

Mathematics

2 answers:

Shkiper50 [21]3 years ago

7 0

Answer:

The slope of the line passes through the pair of points (4,5) (10,0) is -5/6

Step-by-step explanation:

To find the slope of a line, we will use below formula:

$slope=(y_{2}-y_{1})/(x_{2}-x_{1})$

Then for the two points (4,5) and (10,0) the formula becomes:

$slope=(0-5)/(10-4)=-5/6$

vovangra [49]3 years ago

6 0

Slope = difference in y / difference in x
slope = 5 - 0 / 4 - 10
slope = 5 / -6
slope = -.83333

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If one rooster can wake up 10 hens, then how many hens can 3 roosters wake up?

Tresset [83]

I’m pretty sure the answer is 30... right? Because you’d multiply 10 and 3

3 0

3 years ago

Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p

drek231 [11]

Answer:

The probability that X is less than 42 is 0.1271.

Step-by-step explanation:

The random variable X follows a Normal distribution.

The mean and standard deviation are:

E (X) = μ = 50.

SD (X) = σ = 7.

A normal distribution is continuous probability distribution.

The Normal probability distribution with mean µ and standard deviation σ is given by,

$f_{X}(\mu, \sigma)=\frac{1}{\sigma\sqrt{2\pi}}e^{-(x-\mu)^{2}/2\sigma^{2}};\ -\infty$

To compute the probability of a Normal random variable we first standardize the raw score.

The raw scores are standardized using the formula:

$z=\frac{x-\mu}{\sigma}$

These standardized scores are known as z-scores and they follow normal distribution with mean 0 and standard deviation 1.

Compute the probability of (X < 42) as follows:

$P(X$

*Use a z-table for the probability.

Thus, the probability that X is less than 42 is 0.1271.

The normal curve is shown below.

6 0

3 years ago

Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

Find the value of AC

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

Find the value of BC

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

Find the value of BD

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

the answer is

the length of BD is 11.93 units

8 0

3 years ago

Read 2 more answers

Use a net to find the surface area of the right triangular prism shown:

vazorg [7]

The surface area of the right triangular prism is 270 sq ft

<h3>Total surface ara of the prism</h3>

The total surface area of the prism is the sum of all the area of its faces

For the two triangles

A = 2(0.5bh)

A = bh

A = 7 * 12 = 84 sq.ft

For the two rectangles

A = 2lw

A = 2(6*12)

A = 2 * 72 = 144 sq.ft

For the third triangle;
Area 6ft * 7ft

Area = 42 sq.feet

Taking the sum of the areas

TSA = 84 + 144 + 42

TSA = 270 sq ft

Hence the surface area of the right triangular prism is 270 sq ft

Learn more on surface area of prism here; brainly.com/question/1297098

3 0

2 years ago

A credit card has a balance of $2,150.00 with an annual percentage rate of 22.9%. How much interest is charged in a one-month bi

Sever21 [200]

Answer: $3.42

Step-by-step explanation:

Interest= Principal x Rate x Time

From the question, Principal =$2,150

Rate= 22.9% annually means per year, to calculate the monthly rate, we divide by 12

=22.9%/12 = 1.908% per month

Time = one month, meaning one month out of 12months = 1/12

I is therefore: 2150 x 1.908% x 1/12

= 2150 × 0.01908 x 0.0833

=$3.42

I hope this is clear, please mark as brainliest answer.

8 0

3 years ago