What is the slope of y= -3x + 17

Answer:

[tex] \frac{1}{12} \times (13x - 36)[/tex]

Answer: 1+1=2

Step-by-step explanation: Imagine you have 1 cookie, and a friend gives you 1 more, that means your total amount of cookies is 2. So that proves that 1+1=2!

Answer:

I guess it's -2

Step-by-step explanation:

6-8x = 5x - 10x + 12

∴ 10x - 8x - 5x = 12 - 6

∴ 10x- 13x = 6

∴ - 3x = 6

∴ x = -6\3

∴ x = -2

Answer:

-2

Step-by-step explanation:

6-8x=5x-10x+12

5x-10x=-5x

=6-8x=-5x+12         MOVE -5x TO THE LEFT SIDE AND 6 TO THE RIGHT SIDE

= -8x+5x=12-6

= -3x=6

= -x=2

= x=-2

Answer: 0.39 ; 0.993

Step-by-step explanation:

Given that:

Mean of exponential distribution = 6

Using poisson :

P(X =x)Probability of failure in next 3 years :

Number of occurrences λ = 1 / 6 = 0.1667

P(X < 3) = 1 - e^-λx

P(X < 3) = 1 - e^-0.1667*3

P(X < 3) = (1 - e^-0.5)

P(X < 3) = 1 - 0.60653

P(X < 3) = 0.39346

= 0.393

B.)

Number of pc owned = 10 ; n = 10

P(atleast 1 fails) :

P(X ≥ 3)^n = 1 - [1 - P(X < 3)] ^n

P(X ≥ 3)^n = 1 - (1 - 0.393)^10

P(X ≥ 3)^n = 1 - 0.607^10

= 1 - 0.00679

= 0.993

This question is based on the probability. Therefore, the probability that the CPU fails in the next three years is 0.393  and  the probability that at least one fails within the next three years is 0.993.

Given:

The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. You have owned this CPU for three years.

(a) We need to determined the probability that the CPU fails in the next three year.

It is given that, mean of exponential distribution = 6

By using Poisson distribution:

P(X =x) Probability of failure in next 3 years :

[tex]Number\, of \,occurrences\, \lambda = \dfrac{1}{6} = 0.1667[/tex]

[tex]P(X < 3) = 1 - e^{-\lambda x}\\P(X < 3) = 1 - e^{-0.1667\times 3}\\P(X < 3) = (1 - e^{-0.5})\\P(X < 3) = 1 - 0.60653\\P(X < 3) = 0.39346= 0.393[/tex]

(b) We need to determined the probability that at least one fails within the next three years.

Number of pc owned = 10 ; n = 10

P(at least 1 fails) :

[tex]P(X \geq 3)^n = 1 - [1 - P(X < 3)] ^n\\P(X \geq 3)^n = 1 - (1 - 0.393)^{10}\\P(X \geq 3)^n = (1 - 0.607)^{10} = = 1 - 0.00679 = 0.993[/tex]

Therefore, the probability that the CPU fails in the next three years is 0.393  and  the probability that at least one fails within the next three years is 0.993.

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Answer:

2.833

Step-by-step explanation:

Answer:19/6/16

Step-by-step explanation:

Answer:

The correct option is:

(a) There is sufficient sample evidence for the program's claim to be considered correct.

Step-by-step explanation:

The hypothesis can be defined as follows:

[tex]H_{0}:\mu\geq 4\\\\H_{a}:\mu< 4[/tex]

A random sample of n = 50 students is selected.

The significance level of the test is, α = 0.05.

The degrees of freedom are:

df = n - 1

   = 50 - 1

   = 49

Compute the critical value as follows:

[tex]t_{\alpha,\ (n-1)}=t_{0.05,\ 49}[/tex]

             [tex]=t_{0.05, 60}\\\\=-1.671[/tex]

Use the t-table.

Decision rule:

If the calculate value of the test statistic is less than the critical value then the null hypothesis will be rejected.

The calculate value of the test statistic is, t = -1.69.

[tex]cal.t=-1.69<t_{0.05, 49}=-1.671[/tex]

The null hypothesis will be rejected at 5% level of significance.

The correct option is:

(a) There is sufficient sample evidence for the program's claim to be considered correct.

The equivalent ratio to the ratio 30 : 40 after dividing by 10 will be;

⇒ 3 : 4

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

The ratio is,

⇒ 30 : 40

Now,

When we dividing both sides by 10, we get;

Since, The ratio is;

⇒ 30 : 40

It can be written as;

⇒ 30 / 40

After dividing by 10, we get;

⇒ 30 / 40

⇒ (30 ÷ 10) / (40 ÷ 10)

⇒ 3 / 4

⇒ 3 : 4

Therefore,

The equivalent ratio to the ratio 30 : 40 after dividing by 10 will be;

⇒ 3 : 4

Learn more about the ratio visit:

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#SPJ1

Answer:

1 7 21 35 35 21 7 1

Step-by-step explanation:

Pascal triangle is a mathematical expression that can be used to expand questions involving bracket, especially of high degree/ power. Example: [tex](a + b)^{9}[/tex] etc

For the given question, the Pascal triangle for the expansion is: 1 7 21 35 35 21 7 1

So that,

[tex](2x^{3}+3y^{2}) ^{7}[/tex] = 1.[tex](2x^{3}) ^{7}[/tex] + 7.[tex](2x^{3}) ^{6}[/tex].[tex]3y^{2}[/tex]  + 21. [tex](2x^{3}) ^{5}[/tex].[tex](3y^{2}) ^{2}[/tex] + 35.[tex](2x^{3}) ^{4}[/tex].[tex](3y^{2}) ^{3}[/tex] + 35. [tex](2x^{3}) ^{3}[/tex].[tex](3y^{2}) ^{4}[/tex] + 21. [tex](2x^{3}) ^{2}[/tex].[tex](3y^{2})^{5}[/tex] + 7.[tex](2x^{3} )^{1}[/tex].[tex](3y^{2} )^{6}[/tex] + 1.[tex](3y^{2}) ^{7}[/tex]

   = 128[tex]x^{21}[/tex] + 1344[tex]x^{18}[/tex][tex]y^{2}[/tex] +  6048[tex]x^{15}[/tex][tex]y^{4}[/tex] + 15120[tex]x^{12}[/tex][tex]y^{6}[/tex] + 22680[tex]x^{9}[/tex][tex]y^{8}[/tex] + 20412[tex]x^{6}[/tex][tex]y^{10}[/tex] + 10206[tex]x^{3}[/tex][tex]y^{12}[/tex] + 2187[tex]y^{14}[/tex]

Therefore;

[tex](2x^{3}+3y^{2}) ^{7}[/tex] = 128[tex]x^{21}[/tex] + 1344[tex]x^{18}[/tex][tex]y^{2}[/tex] +  6048[tex]x^{15}[/tex][tex]y^{4}[/tex] + 15120[tex]x^{12}[/tex][tex]y^{6}[/tex] + 22680[tex]x^{9}[/tex][tex]y^{8}[/tex] + 20412[tex]x^{6}[/tex][tex]y^{10}[/tex] + 10206[tex]x^{3}[/tex][tex]y^{12}[/tex] + 2187[tex]y^{14}[/tex]

Answer:

1, 8, 28, 56, 70, 56, 28, 8, 1

Step-by-step explanation:

Answer: $16

Step-by-step explanation:

Total Profit = $130 - $59

Tatol Profit = $80

Profit Per Seearter = $80 ÷ 5 =26

Answer:

The Profit is $16 per Sweater

Step-by-step explanation:

Answer:

first differences,4,4,4,constant

Step-by-step explanation:

did on edge

Answer:

4

4

4

constant

Step-by-step explanation:

Answer:

X is the side on the bottom, Y is on the left, and Z is the hypotenuse

Answer:

below vv

Step-by-step explanation:

You will have to draw 3 triangles, one for each question. Then, mark the longest side (the hypotenuse) the letters:

in 1. u

in 2. p

in 3. z

then mark the shorter sides

in 1. s and t

in 2. m and n

in 3. x and y.

Answer:

56

Step-by-step explanation:

(24+4)x2=28x2=56

Answer:

56

Step-by-step explanation:

First things first we need to make into an understandable equation. Remember that sum means we will be adding 24 and 4. As for doubled that means that 24+4 will be multiplied by 2 so the equation should turn out like this...

[tex]x=2(24+4)[/tex]

Once we have the equation set up we can solve it...

[tex]x=2(24+4)\\x= 48+8\\x=56[/tex]

So the sum of 24 and 4 doubled is 56.

Part A

---------------------------------

Work Shown:

The universal set here is U = {2,3,4,5,6,7,8,9} so we're listing all the integers between 2 and 9. We don't include 1 or 10 since n is larger than 1, and smaller than 10.

P = even numbers less than 7, subset of U

P = {2,4,6,8}

P ' = {3,5,7,9}

Note how the set P' is the set of everything in U that is not in set P. It's the opposite of set P. We call this the complement of set P.

Q = prime numbers less than 10, subset of U

Q = {2,3,5,7}

Q ' = {4,6,8,9}

Applying the union set operation on the sets P' and Q' leads to

P' u Q' = {3,5,7,9,     4,6,8,9}

All I did was combine the two sets of numbers under one umbrella. From here we toss out the duplicate entry of 9. This next step is optional, but sorting the values is standard convention.

Doing all this leads to

P' u Q' = {3,4,5,6,7,8,9}

This set represents all the values that are in set P' or in set Q' or both.

=======================================================

Part B

---------------------------------

Work Shown:

Now we're looking at the intersection of sets P' and Q'

List out those sets

P ' = {3,5,7,9}

Q ' = {4,6,8,9}

We see that only the value 9 is in common

Therefore,

P' n Q' = {9}

=======================================================

Part C

Answer:

(P' n Q')' = {2,3,4,5,6,7,8}

---------------------------------

Work Shown:

You start with the result from part B. Then you erase that item (9) from the universal set. Everything in this answer set is not found in the set {9}

Put another way: we're finding the complement or opposite of P' n Q'

=======================================================

Part D

---------------------------------

Work Shown:

P = {2,4,6,8}

Q = {2,3,5,7}

P u Q = {2,3,4,5,6,7,8}

Everything in set P u Q is either found in P, Q, or both. Any duplicates are tossed out.

Take the opposite of this to get

(P u Q)' = {9}

It is not a coincidence we get the same result as part B. It turns out that the two equations are true for any two sets P and Q

For more information, check out De Morgan's Laws. Use of a Venn Diagram may help visualize what is going on, so you can organize the values.

Answer:

D.) $60

Step-by-step explanation:

1 yard= 3 feet

1 yard= 12$

12(5)= 60

5 yards= $60

Answer:

C

Step-by-step explanation:

44/70 which is about 0.063 Hope this helps :D Please mark brainliest

Answer:

Step-by-step explanation:

Answer:

200 + 10 = 2010

Step-by-step explanation:

is wen i was born.

Answer:

its ADC and ADB

Step-by-step explanation:

they both have the triangle at the top so they are similar, they just arnt the same size

Answer:

x=8

y=4

Step-by-step explanation:

Answer:

Your point would be: (0,2)

x = 0

y = 2

Step-by-step explanation:

This would be the case if you're looking for the point by solving with substitution, or any other methods, of the systems of equations.

In any case, you are looking to find either x or y first.

I will demonstrate with the 'y' value, since it is easier when cancelling out the 'x' value.

2x - y = -2

2x + 4y = 8

(I want to make one of the two equations negative, so that I can eliminate or cancel out the 'x' value(s)).

- (2x - y = -2) --> -2x + y = 2

                          2x +4y = 8

---------------------------------------

                                5y = 10

                                ---     ---

                                 5      5

                              ------------

                                 y = 2

(Reason for putting a negative in front of the equation '2x - y = -2' was made in order to eliminate the value(s) '2x' in both equation, and in order to do that, one equation must be negative, while the other is positive, for example:

x + 2y = 6

x + 3y = 5

(You can make any of these equations negative, but only one equation is needed to be negative for the value you want to cancel out,

DO NOT TRY AND CANCEL OUT BOTH X AND Y)

-(x + 2y = 6)

Turn into:

-x - 2y = -6

x + 3y = 5

---------------

y = -1

(Back to the Original Problem)

We now need to find the 'x' value(s):

4(2x - y = -2)

8x - 4y = -8

2x + 4y = 8

----------------

10x = 0

---     ---

10     10

----------------

x = 0

Your final answer will be:

(0,2)

Answer: 5x-15=10

5x=25

x=5

Step-by-step explanation: i showed the steps above. i hope you can understand it and this helps :) *the very first step is to distribute the 5 to everything in the parentheses

Answer:

x=5

Step-by-step explanation:

5.(x-3)=10

5x-15=10

   +15    +15

5x=25

Divide both sides by 5

x=5

Answer:

Please check the explanation.

Step-by-step explanation:

Given the table 1

x              y

-12           2

-10           10

0              -2

5              -6

8               -11

15              -15

From the table, it is clear that for each input there exists a unique output.

i.e.

According to the given table,

y = 2 at x=-12

y = 10 at x=-1 0

y = -1 at x=0

y = -11 at x=8

y = -15 at x=15

From the table, it is clear that for each input x, it has a unique output y.

Hence, table 1 is a function.

Given the table 2

x              y

9            -18

-20           0

-6              1

-17              16

9                17

11              19

This table does not produce a function, because the input x=9 produces two outputs.

i.e.

at x = 9, the y = -18

at x = 9, the y = 17

Therefore, the table 2 does not represent a function.

Answer:

B 7/30

Step-by-step explanation:

P (Purple) = 70 / 300 = 7/ 30

Answer:

B

Step-by-step explanation:

Purple-70/300=7/30

Answer:

Perimeter = 30

Step-by-step explanation:

hypotenuse = [tex]\sqrt{5^2+12^2}[/tex]

hypotenuse = [tex]\sqrt{25+144}[/tex]

hypotenuse = [tex]\sqrt{169}[/tex]

hypotenuse = 13

Perimeter = 5+12+13

Perimeter = 30

Answer: The diameter is 9

Step-by-step explanation:

Divide the circumference, 28.26,  by the common value of pi, 3.14

[tex]\frac{28.26}{3.14} = 9[/tex]

Answer:

11 1/9 unit^2.

Step-by-step explanation:

3 1/3 * 3 1/3

= 10/3 * 10/3

= 100/9

= 11 1/9.

Answer:

y = -4x + 5

Step-by-step explanation:

Answer:

if not 2 x+-4 im sorry

Step-by-step explanation:

Answer:

15x-5y=1

Step-by-step explanation:

y-3x=-1/5

multiply each side by 5

5y-15x=-1

15x-5y=1

Answer:

9/16 or 0.5625

Step-by-step explanation:

Answer:

9/16

Step-By-Step:

2 1/4 = 9/4

Just multiply the denominator by 4

9/4 x 4 = 9/16

Answer:

It is both -2 and 4

Step-by-step explanation: hope it helped!