Find the equation for the line that passes through the points ( - 1, - 10) and ( - 6,9). Give your
answer in point-slope form. You do not need to simplify.

Answers

Answer 1

Answer:

The point slope form of the equation is,

[tex]y + 10 = - \frac{19(x + 6)}{5} [/tex]

m = (y2-y1)/(x2-x1) = (9-(-10))/((-6)-(-1)) = -19/5

b = y1-mx1 = -69/5

Answered by GAUTHMATH


Related Questions

What proportion of the students scored at least 23 points on this test, rounded to five decimal places

Answers

This question is incomplete, the complete question is;

The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule.

What proportion of the students scored at least 23 points on this test, rounded to five decimal places?

Answer:

proportion of the students that scored at least 23 points on this test is 0.30850

Step-by-step explanation:

Given the data in the question;

mean μ = 22

standard deviation σ = 2

since test closely followed a Normal Distribution

let

Z = x-μ / σ      { standard normal random variable ]

Now, proportion of the students that scored at least 23 points on this test.

P( x ≥ 23 ) = P( (x-μ / σ) ≥  ( 23-22 / 2 )

= P( Z ≥ 1/2 )

= P( Z ≥ 0.5 )

= 1 - P( Z < 0.5 )

Now, from z table

{ we have P( Z < 0.5 ) = 0.6915 }

= 1 - P( Z < 0.5 ) = 1 - 0.6915 = 0.30850

P( x ≥ 23 ) = 0.30850

Therefore, proportion of the students that scored at least 23 points on this test is 0.30850

What is an equation of the line that passes through the points (4,-2) and (8,-7)?

Answers

Answer:

the slope-intercept form for any line is y = mx + b, where m is the slope and b is the y-intercept.

 

now, let's calculate the slope:

 

=  

 

here is the equation we currently have solved: y = x + b

 

now we have to solve for the y-intercept. to do this, we substitute one of the given points into the equation, and solve for b.

 

let's use (8, 2). in this ordered pair, the 8 is the x, and the 2 is the y.

 

2 = 8 + b

2 - 8 = b

b = -6

 

and now we have our final equation!  

 

y = x - 6

 

hope this helped! please let me know if you are confused about anything i did smiley

Step-by-step explanation:

Answer:

y = -5/4x + 3

Step-by-step explanation:

Find the slope first:

m = (y2 - y1)/ (2 - x1)m = (-7 + 2)/(8 - 4) = -5/4

Use point-slope form and the coordinates of one of the points:

y - y1 = m(x - x1)y - (-2) = -5/4(x - 4)y + 2  = - 5/4x + 5y = -5/4x + 3

Let Z be the standard normal random variable. Use a probability calculator to answer the following questions: What is the probability Z will be within one standard deviation of average?

Answers

Answer:

0.6826 = 68.26% probability Z will be within one standard deviation of average.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the probability Z will be within one standard deviation of average?

This is the p-value of Z = 1 subtracted by the p-value of Z = -1.

Z = 1 has a p-value of 0.8413.

Z = -1 has a p-value of 0.1587.

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability Z will be within one standard deviation of average.

Bronson is ordering a sundae at a restaurant, and the server tells him that he can have up to four toppings: butterscotch sauce, caramel, peanuts, and strawberries. Since he cannot decide how many of the toppings he wants, he tells the server to surprise him. If the server randomly chooses which toppings to add, what is the probability that Bronson gets just butterscotch sauce, peanuts, and strawberries

Answers

Answer:

20%

Step-by-step explanation:

if zero toppings is an option, then there would be 5 possibilities for toppings

0,1,2,3,or 4

the server randomly chose 3 toppings so that would be one out of 5 or 20%.

(If the server did not have the option to put zero toppings on then there would be only 4 options 1,2,3, or 4 toppings and the correct answer would be one out of 4 or 25%.)

I need a fully completed (or at least for the 8th grade) khan academy account!!!
Please help me!!

Answers

Answer:

so you need a khan academy account?

The rectangular floor of a storage shed has an area of 580 square feet. The length of the floor is 9 feet more than its width (see figure). Find the dimensions of the floor.

Length= ? Ft
Width= ? Ft

Answers

9514 1404 393

Answer:

length: 29 ftwidth: 20 ft

Step-by-step explanation:

Assuming the dimensions are integer numbers of feet, you're looking for factors of 580 that have a difference of 9.

 580 = 1×580 = 2×290 = 4×145 = 5×116 = 10×58 = 20×29

The last pair of factors differs by 9, so ...

  the length is 29 feet; the width is 20 feet.

What is the area of triangle ABC? Round to the nearest whole number

Answers

9514 1404 393

Answer:

  C.  837

Step-by-step explanation:

The remaining angle is ...

  C = 180° -A -B = 180°-62° -67° = 51°

The law of sines tells us that the length AC is ...

  AC/sin(B) = AB/sin(C)

  AC = AB·sin(B)/sin(C) = 40·sin(67°)/sin(51°)

Using the area formula given, we now have ...

  area = 1/2(AB)(AC)sin(A)

  = (1/2)(40)(40·sin(67°)sin(62°)/sin(51°) ≈ 836.7

The area of the triangle is about 837 square units.

urgent help needed !!!!!!

Answers

Answer:

use gauthmath

Step-by-step explanation:

you will thank me later

Which quadratic function has minimum value at x = -b/2a?
O y=-3x2 + 5 X + 6
O y=x2 + 5 x + 6
O y=-x2 + 5x + 6
O y = -4 x2 + 5x + 6

Answers

Answer:

The choose (2)

y=x²+5x+6

Step-by-step explanation:

y=x²+5x+6 —> (–5/2 , –1/4)

y=-3x² + 5 X + 6 —> (5/6, 97/12)

y=-x² + 5x + 6 —> (5/2,49/4)

y = -4 x² + 5x + 6 —> (5/8 , 121/16)

A new car costs $23000. The value decreases by 15% each year.(a) Write the exponential model to represent the cars value after t years. (b) To the nearest dollar, how much will the car be worth after 4 years?

Answers

Answer:

(a) 23000(1-15%)^t

(b) about 12006.14375

Step-by-step explanation:

(a) There's a formula for this problem y = A(d)^t where, A is the initial value you are given, d is the growth or decay rate and t is the time period. So, in this case, as the car cost is decreasing it is a decay problem and we can write the formula as such; y = A(1-R)^t

And with the values, we get the exponential model 23000(1-15%)^t

(b) From question (a) we already have the model and the time period given here is 4 years. So putting it in the formula we get,

23000(1-15%)^4

=23000(1-15/100)^4

=23000(0.85)^4

=23000x0.52200625

=12006.14375     (Ans)

The profit, in dollars, of selling n items is given by P(n) = 0.86n - 2800. Identify the slope and the y-intercept.

Answers

Answer: 0.86 and -2800 (choice A)

Explanation:

Think of the given equation as y = 0.86x - 2800

Then compare it to y = mx + b

We see that m = 0.86 is the slope and b = -2800 is the y intercept.

Answer:

Slope: 0.86 , Y-intercept:-2800

Step-by-step explanation:

Linear equations go by the form of y=mx + c

where m is the gradient(slope of the graph) and c is the y-intercept

Please help.

Evaluate 6!

3,125

720

120

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{6!}\\\large\textsf{= 6}\times\large\textsf{5}\times\large\textsf{4}\times\large\textsf{3}\times\large\textsf{2}\times\large\textsf{1}\\\large\textsf{6(5) = \bf 30}\\\large\textsf{= 30}\times\large\textsf{4}\times\large\textsf{3}\times\large\textsf{2}\times\large\textsf{1}\\\large\textsf{30(4) = \bf 120}\\\large\textsf{= 120}\times\large\textsf{3}\times\large\textsf{2}\times\textsf{1}\\\large\textsf{120(3) = \bf 360}\\\large\textsf{= 360}\times\large\textsf{2}\times\large\textsf{1}[/tex]

[tex]\large\textsf{360(2) = \bf 720}\\\large\textsf{720}\times\large\textsf{1}\\\large\textsf{= \bf 720}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Therefore, your answer is: \bf 720}\huge\textsf{ (option B)}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Let the probability of success on a Bernoulli trial be 0.26. a. In five Bernoulli trials, what is the probability that there will be 4 failures

Answers

Answer:

0.3898 = 38.98% probability that there will be 4 failures

Step-by-step explanation:

A sequence of Bernoulli trials forms the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Let the probability of success on a Bernoulli trial be 0.26.

This means that [tex]p = 0.26[/tex]

a. In five Bernoulli trials, what is the probability that there will be 4 failures?

Five trials means that [tex]n = 5[/tex]

4 failures, so 1 success, and we have to find P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{5,1}.(0.26)^{1}.(0.74)^{4} = 0.3898[/tex]

0.3898 = 38.98% probability that there will be 4 failures

i don’t understand… but thank you if u do answer my question :))

Answers

Answer:

7/0

Step-by-step explanation:

This is because if a number is divided by 0 then there is no answer or it is undefined

Think of it like this,

You have 7 apples and wanted to give it to zero friends, is it possible?

Hope this helped :)

Answer:

Second option (7÷0)

Explanation:

Dividing by zero is considered undefined since you can't divide something by nothing. It's like saying you have a pizza and you want to divide it between 7 people but since you're dividing by zero, you're not splitting the pizza between anyone.

Random samples of size 100 are taken from an infinite population whose population proportion is 0.2. The mean and standard deviation of the sample proportion are:__________
a) 0.2 and .04
b) 0.2 and 0.2
c) 20 and .04
d) 20 and 0.2

Answers

Answer:

c I think

Step-by-step explanation:

just cuz I did the math but I don't wanna type rn

Find the length of a side of a cubic die, if the volume of the die is 343/4 cubic inches
O 1.25 in.
0 1.50 in.
0 1.75 in.
01.95 in.

Answers

Answer:

The length of a side of a cubic die of volume equal to 343/4 is 4.41 inches.

Step-by-step explanation:

The volume of a cube is given by:

[tex] V = l^{3} [/tex]

Where:

l: is the length =?  

V: is the volume = 343/4 in³

By solving the above equation for "l" we have:

[tex] l = (V)^{1/3} = (343/4 in^{3})^{1/3} = 4.41 in [/tex]

Therefore, the length of a side of a cubic die of volume equal to 343/4 is 4.41 inches.

None of the options are correct for the given volume.

I hope it helps you!                                

Write the fraction 24/40 in its simplest form.

Answers

The answer is 3/5 because it’s pretty much like dividing

Calculate trend values by method of least squares

Answers

Answer:

It is a mathematical method and with it gives a fitted trend line for the set of data in such a manner that the following tow conditions are satisfied. The sum of the deviation of the actual values of Y and the computed values of Y is zero.

21 × 6 ÷ 7 + 12 - 15​

Answers

Answer:

15

Step-by-step explanation:

By order of operations, multiplication and division are done first, then the addition and subtraction. Remember, multiplication and division have the same precedence, as does addition and subtraction.

21*6 = 126

126/7 = 18

18 + 12 = 30

30 - 15 = 15

Answer:

15

Step-by-step explanation:

21 × 6 ÷ 7 + 12 - 15​

= 126 ÷ 7 + 12 - 15

= 18 + 12 - 15

= 30 - 15

= 15

If computers sell for ​$1160 per unit and hard drives sell for ​$ 102 per​ unit, the revenue from x computers and y hard drives can be represented by what​ expression? If computers sell for ​$ per unit and hard drives sell for ​$102 per​ unit, the revenue from x computers and y hard drives can be represented by

Answers

The answer to this questions is c

If a square shaped lot measures 200’ on one side, what is the square footage of the lot

Answers

Answer:

40,000 ft²

Step-by-step explanation:

area = 200 ft * 200 ft = 40,000 ft²

What is |-2.24|? i need this question answered quickly

Answers

i think the answer is 2.24

I need help thank you so much !

Answers

Answer:

mana saya tau iwnisbagcayabaonsoanuwvsybwiwnusvwuagwyvwkwnwibsyafa

Two balls are picked at random from a box containing 5 red balls and 3 green balls. What is the probability that 1 red ball and 1 green ball are selected?

Answers

Answer:

Step-by-step explanation:

Answer:

3/8 x 5/8= 15/64

Step-by-step explanation:

Please help with this function problem

Answers

Answer:

-2

-1

-2

Step-by-step explanation:

really ? this is a problem ? why ?

f(0) means the functional value for x = 0.

is x = 2 ? no.

so, automatically the other case applies, and f(0) = -2

f(2) means x=2

is x = 2 ? yes.

so that case applies, and f(2) = -1

f(5) means x=5

is x = 2 ? no.

so again, the case for x <> 2 applies, f(5) = -2

Use the graph of the function y=g(x) below to answer the questions.

Answers

Answer:

Step-by-step explanation:

g(5) = 2 > 0

:::::

g(x) = 0 for x = -2, 2, 4

:::::

g(x) < 0 for  -3 ≤ x < -2

help pls ik the answers i just don’t k is how to show work :(

Answers

include the notation and just do the work on the page

A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of getting the given result. [Binomail Probability] Less than four twos

Answers

Answer:

0.5665 = 56.65% probability of less than four twos.

Step-by-step explanation:

For each roll, there are only two possible outcomes. Either it is a two, or it is not a two. The probability of a roll ending up in a two is independent of any other roll, which means that the binomial probability distribution is used.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A die is rolled 20 times

This means that [tex]n = 20[/tex]

One out of six sides is 2:

This means that [tex]p = \frac{1}{6} = 0.1667[/tex]

Probability of less than four twos:

This is:

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.1667)^{0}.(0.8333)^{20} = 0.0261[/tex]

[tex]P(X = 1) = C_{20,1}.(0.1667)^{1}.(0.8333)^{19} = 0.1043[/tex]

[tex]P(X = 2) = C_{20,2}.(0.1667)^{2}.(0.8333)^{18} = 0.1982[/tex]

[tex]P(X = 3) = C_{20,3}.(0.1667)^{3}.(0.8333)^{17} = 0.2379[/tex]

So

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0261 + 0.1043 + 0.1982 + 0.2379 = 0.5665[/tex]

0.5665 = 56.65% probability of less than four twos.

Three student representatives, a president, a secretary, and a treasurer, are to be chosen from a group of five students: Andrew, Brenda, Chad, Dorothy, and Eric. In how many different ways can the representatives be chosen if the president must be a woman and the secretary and treasurer must be men

Answers

Answer:

Hence there are 6 different ways can the representatives be chosen if the president must be a woman and the secretary and treasurer must be men.

Step-by-step explanation:

We know that,

Total males = 3,

Total Females = 2,

Now we want 2 males and a female.

Then the choices are,

           [tex]= ^{3} C_{2} \times ( ^{2} C_{1} )\\\\= 3 \times 2\\\\=6[/tex]

If P(x) = 2x2 – 3x + 7 and Q(x) = 8 - x), find each function value.
15. P(-3)
16. Q(2)
17. P(4)
18. Q(-3)

Answers

Answer:

15. 52

16. 6

17. 59

18. 11

Step-by-step explanation:

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