Write the equation of the line that passes through (3,-2) and has a slope of 4 in point-slope form. (2 points)
A)y + 2 = 4(x - 3)
B)y- 3 = 4(x + 2)
C)X - 3 = 4(y + 2)
D)x + 2 = 4(y - 3)
Plz explain just a bit how you got the answer. Will give brainliest!!

Answers

Answer 1

Answer:

[tex]A)y + 2 = 4(x - 3)[/tex]

Write The Equation Of The Line That Passes Through (3,-2) And Has A Slope Of 4 In Point-slope Form. (2

Related Questions

If x = 2 and y = -3, then what is -xy2

Answers

Answer:

-18

Step-by-step explanation:

Step 1: Substitute your x and y values in

[tex]-(2)(-3)^{2} \\(-2)9\\-18[/tex]

Therefore the answer when x = 2 and y = 3 is -18

Can anyone help me? Please

Answers

Answer:

work is shown and pictured

The table lists the profits of some of the world’s largest corporations in 2013. List the companies in order from greatest to least amount of profit.

A. Ace Motors, MegaMart, Vision Cell, Urban, Punchbuggies

B. Punchbuggies, MegaMart, Ace Motors, Vision Cell, Urban

C. Punchbuggies, Ace Motors, MegaMart, Vision Cell, Urban

D. Vision Cell, Ace Motors, Urban, Punchbuggies, MegaMart

Answers

Answer:

C. Punchbuggies, Ace Motors, MegaMart, Vision Cell, Urban

Step-by-step explanation:

Rewrite the given amount of profits in the number form as follows:

MegaMart: 1.7*10⁹ = 1.7*1,000,000,000 = 1,700,000,000

Vision Cell: 9*10⁸ = 9*100,000,000 = 900,000,000

Ace Motors: 6.2*10⁹ = 6.2*1,000,000,000 = 6,200,000,000

Urban: 4*10⁵ = 4*100,000 = 400,000

Punchbuggies: [tex] 2.7*10^{10} [/tex] = 2.7*10,000,000,000 = 27,000,000,000

Now we can easily order the profits of the companies from greatest to least amount:

Punchbuggies: 27,000,000,000

Ace Motors: 6,200,000,000

MegaMart: 1,700,000,000

Vision Cell: 900,000,000

Urban: 400,000

The answer is C. Punchbuggies, Ace Motors, MegaMart, Vision Cell, Urban.

Answer:

C

Step-by-step explanation:

What is the surface area of each triangular prism?

Answers

the surface area of the above triangular prism is 156 square inches.

Step-by-step explanation:

multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.

O Output = Input + 2
Output = 8 - Input
O Output = 6 + Input
O Output = 8. Input

help pls

Answers

ANSWER
output = 8 - input

Convert the inequalities into equations, and then use the substitution method to find four possible vertices in the form (x, y, z).

Answers

Answer:

For 2x + 5y < 100, x + y < 30. Vertices : (50,0) , (0,20) , (35,0) , (0,35) , (25,0)  

Step-by-step explanation:

Considering inequality equations

i) 2x + 5y < 100 ;

ii) x + y < 35

Concerting them to equality conditions

i) 2x + 5y =100.

Intercepts : If y = 0, x = 50. So, (50,0). If x = 0, y = 20. So, (0,20)

ii) x + y = 35. Intercepts :

Intercepts : If y = 0, x = 35. So, (35,0). If x = 0, y = 35 So, (0,35)

Solving them as per equality (with substitution)

From ii), x = 35 - y . Putting the value in i)

2 (35 - y) + 5y = 100 → 70 - 2y + 5y = 100 →  70 + 3y = 100

3y = 100 - 70 →  3y = 30 → y = 30 / 3 = 10

Putting y = 10 in ii) : x = 35 - 10 = 25

As per the 'less than' inequalities : the inner 'towards origin' area from both lines is in common shaded area.

Henceworth, vertices are : (50,0) , (0,20) , (35,0) , (0,35)  & intersection (25,0)

Answer:

Correct answers for edmentum & plato:

Step-by-step explanation:

Remember:

x+y+z=60

x=5

y=30

z=15

1:

x=5y=30

5+30+z=60

35+z=60

-35+z=60(-25)

z=25

(5,30,25)

2:

x=5z=15

5+y+15=60

20+y=60

-20+y=60-(20)

y=40

(5,40,15)

3:

y=30z=15 

x+30+15=60

x+45=60

x+-45=60-(45)

x=15

(15,30,15)

4:

(5,30,15)

5+30+15=60

50=60

-50=60-(50)

10 

(5,30,15) Doesn't work

what is 5/8 times 5/6

Answers

Answer:

25/48

Step-by-step explanation:

You want to multiply the numerators and the denominators

[tex]5 * 5 = 25\\\\6 * 8 = 48\\\\25/48[/tex]

Answer:25/48

Step-by-step explanation:

Need answer please I'm not good at math ​

Answers

Answer:

3rd Option

Step-by-step explanation:

Order of Operations: BPEMDAS

When you are multiplying radicals, you multiply the innards while keeping the square root.

Step 1: Write expression

√5(6 - 4√3)

Step 2: Distribute

6(√5) - 4√3(√5)

Step 3: Simplify/Multiply

6√5 - 4√15

Margie received her store order on 12/3/16 at 4am she just opened one of the fountain BIBs today 12/7/16 at 12pm the BIB has a printed expiration date of 1/17/17 on it Drag the options from the right to fill out the label properly

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

      [tex]Exp \  Date  :  1/17/17[/tex]

      [tex]Exp \  Time :  4:00 \  am[/tex]

       [tex]Prep \  Date  :  12/3/2016[/tex]

       [tex]Prep \  Time  :  \  4:00 \  am[/tex]

Step-by-step explanation:

From the question we told that

  The date Margie received her store order is  [tex]D_O = 12/3/16[/tex]

   The time   Margie  received her store order is  [tex]T_o = 4am[/tex]

   The  Date which Margie opened the order is  [tex]Da = 12/7 /16[/tex]

    The  time which Margie opened the order is  [tex]T_a = 12 \ pm[/tex]

   The expatriation date on the BIB is [tex]D_e = 1/17 /17[/tex]

Generally from the question we can deduce that the

      [tex]Exp \  Date  :  1/17/17[/tex]

      [tex]Exp \  Time :  4:00 \  am[/tex]

       [tex]Prep \  Date  :  12/3/2016[/tex]

       [tex]Prep \  Time  :  \  4:00 \  am[/tex]

Answer: dont put the time just put in the dates The exp and prep which is the day she received that's all u need to do.

Step-by-step explanation:

Jaime Bailey is chair of a department at a college. Jaime has a budget in which
1.4 of the money is for​ photocopying, 2/5 of the money is for​ computer-related expenses, and the rest of the money is for student tutors in the foreign languages lab. What fraction of​ Jaime's budget is for student​ tutors?

Answers

Answer:

Step-by-step explanation:

7/20

Represent the total budget amount by b.

Then from this b, subtract b/4 and then from the result subtract 2/5:

b - b/4 = (3/4)b; now from this (3/4)b subtract (2/5)b:

Converting these proper fractions to decimal fractions, we get:

0.75b - 0.40b = 0.35b

This tells us that 35/100, or 7/20, of Jaime's budget is for tutors.

Solve x + x + 2 + 2x = -2. 1 -1 0 -2

Answers

Answer:x=-4+0.1/4

Step-by-step explanation:x+x+2+2x=-2.1-10-2

We move all terms to the left:

x+x+2+2x-(-2.1-10-2)=0

We add all the numbers together, and all the variables

x+x+2x+2-(-14.1)=0

We add all the numbers together, and all the variables

4x+16.1=0

We move all terms containing x to the left, all other terms to the right

4x=-16.1

x=-16.1/4

x=-4+0.1/4

Answer:

-1

Step-by-step explanation:

x + x + 2 + 2x = -24x +2 = -24x = -2 -24x = -4x= -4/4x= -1

Answer is - 1

On a number line, suppose point E coordinate of -2, and EG=12. what are the possible coordinates of point G?

Answers

Answer:

-14 or 10.

Step-by-step explanation:

It is given that, on a number line, suppose point E coordinate of -2, and EG=12.

We need to find the possible coordinates of point G.

Since EG=12 it means point distance between point E and G is 12 units, therefore point G must be on 12 units left or write from point E.

If point G is 12 units left of E, then

G=-2-12=-14  

If point G is 12 units right of E, then

G=-2+12=10  

Therefore, the possible coordinates of point G are -14 or 10.

Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching. If exactly five of the seven have straight stitching, should the company stop the production line

Answers

Answer:

The probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that the company should stop the production line.

Step-by-step explanation:

We are given that Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching.

Let X = Number of baseballs having straight stitching

The above situation can be represented through the binomial distribution;

[tex]P(X = r) = \binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.......[/tex]

where, n = number of samples (trials) taken = 7 baseballs

            r = number of success = exactly 5

            p = probbaility of success which in our question is the probability

                   that baseballs have straight stitching, i.e.; p = 89.4%

So, X ~ Binom(n = 7, p = 0.894)

Now, the probability that exactly five of the seven have straight stitching is given by = P(X = 5)

            P(X = 5) =  [tex]\binom{7}{5} \times 0.894^{5}\times (1-0.894)^{7-5}[/tex]

                          =  [tex]21 \times 0.894^{5}\times 0.106^{2}[/tex]

                          =  0.1347 or 13.47%

Since the probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that company should stop the production line.

Given f(x) = 4x - 3, find f(-5).

Answers

f(-5)=4(-5)-3, so f(-5)=-20-3.
f(-5)=-23

Answer:

The answer is

- 23

Step-by-step explanation:

f(x) = 4x - 3

To find f( - 5) substitute the value of x that's - 5 and solve for f(-5)

That's

[tex]f( - 5) = 4( - 5) - 3[/tex][tex] = - 20 - 3[/tex]

We have the final answer as

[tex]f( - 5) = - 23[/tex]

Hope this helps you

Please help willl give 5 stars!

Answers

Answer:

9. 6, 2, -2,-6,-10,-14

Step-by-step explanation:

Which of the following shows the rational numbers in order from least to greatest?

Answers

i believe the answer is h

Answer:

H

Step-by-step explanation:

Becuase if you convert all into decimals you will see.

can someone please help me.

Answers

Answer:

Angle NKO and Angle OKL are adjacent and complementary

Step-by-step explanation:

Adjacent - yes - they have the common vertex K and the common side KO.

Vertical - no - vertical angles are created by two intersecting lines, and angles NKO and OKL are not.

Complementary - yes - since it's given to us that JL and MN are perpendicular, that means that they intersect at 90 degree angles. This means that angles NKO and OKL add up to 90 degrees, and because complementary angles are angles that add up to 90 degrees, NKO and OKL are complementary.

Supplementary - no - supplementary angles are angles that add up to 180 degrees, and since NKO and OKL add up to 90 degrees, they can't be supplementary.

Linear Pair - no - a linear pair is a pair of angles that are adjacent and supplementary. Angles NKO and OKL are adjacent, but since they're not supplementary they can't be a linear pair.

What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers to two decimal places.)

(a) 90% confidence, n = 17


(b) 90% confidence, n = 12


(c) 99% confidence, n = 24


(d) 90% confidence, n = 23


(e) 80% confidence, n = 13


(f) 95% confidence, n = 9

Answers

Answer:

(a) the critical value of t at P = 10% and 16 degrees of freedom is 1.337.

(b) the critical value of t at P = 10% and 11 degrees of freedom is 1.363.

(c) the critical value of t at P = 1% and 23 degrees of freedom is 2.500.

(d) the critical value of t at P = 10% and 22 degrees of freedom is 1.321.

(e) the critical value of t at P = 20% and 12 degrees of freedom is 0.8726.

(f) the critical value of t at P = 5% and 8 degrees of freedom is 1.860.

Step-by-step explanation:

We have to find the critical t value for each of the following confidence levels and sample sizes given below.

As we know that in the t table there are two columns. The horizontal column is represented by the symbol P which represents the level of significance and the vertical column is represented by the symbol '[tex]\nu[/tex]' which represents the degrees of freedom.

(a) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.90 = 0.10

And the degrees of freedom = n - 1

                                                = 17 - 1 = 16

Now, in the t table, the critical value of t at P = 10% and 16 degrees of freedom is 1.337.

(b) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.90 = 0.10

And the degrees of freedom = n - 1

                                                = 12 - 1 = 11

Now, in the t table, the critical value of t at P = 10% and 11 degrees of freedom is 1.363.

(c) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.99 = 0.01

And the degrees of freedom = n - 1

                                                = 24 - 1 = 23

Now, in the t table, the critical value of t at P = 1% and 23 degrees of freedom is 2.500.

(d) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.90 = 0.10

And the degrees of freedom = n - 1

                                                = 23 - 1 = 22

Now, in the t table, the critical value of t at P = 10% and 22 degrees of freedom is 1.321.

(e) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.80 = 0.20

And the degrees of freedom = n - 1

                                                = 13 - 1 = 12

Now, in the t table, the critical value of t at P = 20% and 12 degrees of freedom is 0.8726.

(f) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.95 = 0.05

And the degrees of freedom = n - 1

                                                = 9 - 1 = 8

Now, in the t table, the critical value of t at P = 5% and 8 degrees of freedom is 1.860.

GuYs i need your help?!?!?! Are these ratios equevalent? 30:5 and 5 to 1 Yes or no!!!!!!!???????

Answers

Answer:

NO, it's 6 to 1

Step-by-step explanation:

30/5=6

5/5=1

6:1

Answer:

No because 30:5=6:1 when u expressed, but for 5:1 it could be any number like 30:6 or whatsoever

Step-by-step explanation:

What does it mean if an x (input) or y (output) value doesn't make sense? What does it look like on a graph? What happens in the equation?

Answers

Answer:

It is not a function.

Step-by-step explanation:

If the x input or the y output in the given equation have no meaning or does not have any sense, then it will not form a function. We need to see if there are two of the x - intercept which are same. Then the graph will be a straight vertical line. Also the slope of the function cannot be determined.

Х
z
Y
Which of these can all be found on the figure?

Answers

Answer:

x

Step-by-step explanation:

the figure always contains an x!;)

Kurt, Sophia, and Franco had a paper airplane throwing contest after school. Kurt's airplane flew 8.6 yards. Sophia's airplane flew 2.2 yards farther than Kurt's airplane. Franco threw his airplane 1.5 times as far as Sophia's airplane. How far did Franco's paper airplane fly?

Answers

Answer: 16.2

Step-by-step explanation:

8.6 + 2.2 = 10.8

10.8 x 1.2 = 16.2

Answer:

16.2

Step-by-step explanation:

A lender will make an 80% loan-to-value loan on a property that is appraised for $72,250 and sells for $73,500. If the buyer has saved $14,450 for a down payment, how much more (if any) will he need in order to make the down payment required under the terms of this loan?

Answers

Answer:

  $1250

Step-by-step explanation:

The loan can be made for up to ...

  0.80 × $72,250 = $57,800

For a selling price of $73,500, the amount not funded by the loan will be ...

  $73,500 -57,800 = $15,700

This is more than the buyer has saved by ...

  $15,700 -14,450 = $1,250

The buyer will need $1250 in additional funds.

Question 1 (1 point) ✓ Saved
Which of the following statements is TRUE?
The only factors of 11 are 1 and 11.
.
The only factors of 18 are 9 and 2.
The only factors of 48 are 6, 8, and 1.
The only factors of 25 are 5 and 1.

Answers

Answer:

first statement

Step-by-step explanation:

The second, third and fourth statements are false because for any number, the number itself is also a factor. Therefore, the answer is the first statement.

Write the quadratic equation in standard form and then choose the value of "b."
(2x - 1)(x + 5) = 0
O
10
011
pllllllls help me

Answers

[tex](2x-1)(x+5)=2x^2+9x-5=0[/tex].

The quadratic equation has a general form of

[tex]ax^2+bx+c=0[/tex].

So your "b" is 9.

Hope this helps.

Answer:  Answer is in the steps

Step-by-step explanation:

(2x-1)(x+5) = 0    First expand the left side by apply the distributive property twice.

(2x -1)(x+5) =0  

x(2x -1) =  2x^2 -1x  

5(2x -1) =  10x -5  

Now rewrite them all together

2x^2 - 1x +10x -5  = 0   combine like terms on the left side.

[tex]2x^{2}[/tex] + 9x -5 = 0      a is the first leading coefficient,b is the second leading coefficient, and  c is the constant.

So in this case, the value of b is 9.

17% of the speech team is also on the debate team rewrite this percent as a fraction in simplest form

Answers

Answer:

[tex]\frac{17}{100}[/tex]

Step-by-step explanation:

A percentage is basically another way of writing a fraction.

If we have a percentage, x%, then it's fraction will be [tex]\frac{x}{100}[/tex].

Since 17 is the percentage here, the fraction is [tex]\frac{17}{100}[/tex].

This can't be simplified any further as 17 is a prime number.

Hope this helped!

Solve: 16x2 − 81 = 0

Answers

16 x 2 - 81

32-81

= -49

Answer:

x =±9/4

Step-by-step explanation:

16x^2 − 81 = 0

Add 81 to each side

16x^2 − 81 +81 = 81

16 x^2 =18

Divide by 16

x^2 =81/16

Take the square root of each side

sqrt(x^2) = sqrt(81/16)

x =±9/4

A farmer is setting up separate pens for livestock by fencing off a rectangular area and running fence to create three parallel pens. If the farmer has to enclose a total area of 9,800 square meters, what is the shortest length of fence needed

Answers

Answer:

L(min) = 560 m

Step-by-step explanation:

Dimensions of rectangular area are:  "x" and  "y"

Then x*y = 9800 m²

If this area have to be divided into three parallel pens total length of fencing material would be:

L = 2*x + 4*y

And L as a function of x is

x*y = 9800        ⇒      y = 9800/x

L(x) = 2*x  + 4 * 9800/x         ⇒   L(x) = 2*x  + 39200/x

Taking derivatives on both sides of the equation we get

L´(x) =  2  - 39200/x²

L´(x) = 0     ⇒      2 - 39200/x²   =  0

2*x²  - 39200 = 0

x² = 39200 / 2       ⇒     x²  =  19600

x = 140 m

And   y = 39200/ 140

y  =  70 m

Then minimum length of fence is:

L(min) = 2*140 + 4*70

L(min) = 280  +  280

L(min) = 560 m

Checking in the second derivative:

L´´(x)  =  2*39200/x³    > 0  then we get a minimum of the function L  at the point  x = 140

e/2+7=4e

hey does anyone know how to solve for e?

Answers

Answer:

[tex] \boxed{ \boxed{ \boxed{ \bold{ \sf{e = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{e}{2} + 7 = 4e}[/tex]

Take L.C.M of 2 and 1

⇒[tex] \sf{ \frac{e + 7 \times 2}{2} = 4e}[/tex]

Multiply the numbers

⇒[tex] \sf{ \frac{e + 14}{2} = 4e}[/tex]

Apply cross product property

⇒[tex] \sf{e + 14 = 8e}[/tex]

Move variable to left hand side and change it's sign

Similarly, move constant to right hand side and change it's sign

⇒[tex] \sf{ e - 8e = - 14}[/tex]

Collect like terms

⇒[tex] \sf{ - 7e = - 14}[/tex]

Change the signs of both sides of the equation

⇒[tex] \sf{7e = 14}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7e}{7} = \frac{14}{7} }[/tex]

Calculate

⇒[tex] \sf{e = 2}[/tex]

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

How can we find the L.CM?

The steps for finding L.C.M of the numbers are mentioned below:

Step 1 : First of all find the prime factors of each numbers.

Step 2: Take out the common prime factors. Step 3 : Also take out the other remaining prime factors.

Step 4 : Multiply those all prime factors and obtain L.C.M . If there is not any common prime factors then their L.C.M is the product of the given numbers.

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

In our case , we are going to find out the LCM of 2 and 1.

First, Find all prime factors of 2 and 1

2 = 1 × 2

1 = 1 × 1

Common prime factor = 1

Remaining prime factors = 2 and 1

Multiply them : 1 × 2 × 1 = 2

Hope I helped!

Best regards!!

Answer:

e = 2

Step-by-step explanation:

e/2 + 7 = 4e

e/2= 4e - 7

e = 2(4e-7)

e = 2*4e + 2*-7

e = 8e - 14

14 = 8e - e

14 = 7e

e = 14/7

e = 2

probe:

2/2 + 7 = 4*2

1 + 7 = 8

What is 6^2/3in radical form?

Answers

Answer: ∛36

Solution:

6^(2/3) = ∛6²


∛6² = ∛36 (in radical form)

Answer:

3/6^2

Step-by-step explanation:

First option

Other Questions
compare and contrast the two disciplines, geography and geology. "A customer has an existing short margin account and wants to write five covered puts against 500 shares of stock that are short in the account. The margin requirement to write the puts is:" _______________________ propose(s) giving an industry a short-term indirect subsidy to support it until such time that it matures and turns into a vibrant, healthy industry.a. Price- and profit-maintenance policiesb. Protection against dumpingc. The infant industry argumentd. Self-sufficiency policies A single-threaded 25-mm power screw hasa pitch of 5 mm. The frictional diameter of the collar is 45 mm. The max load onvertical direction of the screw is5kN. The collar has a coefficients of friction of0.06, and he threads hasa coefficients of friction of0.09. Find the overall efficiency and the torque to "raise" and "lower" the load. Boston Recyclers Company uses the indirect method to prepare its statement of cash flows. Refer to the following information for 2019: 1. Retained Earnings, beginning balance, $139,000 2. Retained Earnings, ending balance, $120,000 3. There is a net loss of $15,000 for the year. What is the amount of dividends declared during the year? Which of the following statements are true about the Internet?1 - The Internet connects devices and networks all over the worldII - The Internet helps people collaborate to solve problemsIII - The Internet helps people communicateIV - There are no negative consequences of the Internet, it is purely positive A software developer wants to ensure that the application is verifying that a key is valid before establishing SSL connections with random remote hosts on the Internet. Which of the following should be used in the code? (Select TWO.) A. Escrowed keys B. SSL symmetric encryption key C. Software code private key D. Remote server public key E. OCSP Which one of these can be rearranged into a type of flower? A. FSNWOLRUE B. LBANEQUT C. NRABE D. VLEBQA Which of the following affects cell potential?a. the standard cell potential valueb. the electronegativity of the elements in the electrodesc. the volume of the solutionsd. all of the above *ANSWER PLEASE, DIFFICULT QUESTION* A toy rocket is a composite of a cylindrical body with a cone for a nose. Find the volume of the rocket if the radius of the base is 1.25 inches, the height of the tip is 3 inches, and the height of the entire rocket is 15 inches. a.) 63.8 in3 b.) 56.3 in3 c.) 176.6 in3 d.) 58.9 in3 Twice a number subtracted from four times that same number added to fifteen At the end of Year 2, retained earnings for the Baker Company was $2,650. Revenue earned by the company in Year 2 was $2,900, expenses paid during the period were $1,550, and dividends paid during the period were $950. Based on this information alone, what was the amount of retained earnings at the beginning of Year 2 How did Thomas Pained Common Sense influence the colonists to fight for independence? Which one of the 5W + H questions does the following statistic answer?The world's fastest roller coaster reaches a speed of almost 150 miles per hour, requiring thrill-seekers to wear goggles when they ride!1 pointHowWhenWhoWhere give a brief introduction of interviews as a method of enquiry in psychology A car with a mass of 1,500 kg is traveling at a speed of 30 m/s. What force mustbe applied to stop the car in 3 seconds? -28/((-12+9)-(9+12/3)+1) A rare mutation only occurs in 1 in every 2048 generations of fruit flies. We can assume that whether or not the mutation occurs is independent of previous generations. (a) Calculate the probability of seeing this mutation at least once in 50 generations. (b) Calculate the probability of seeing this mutation at least once in 3000 generations. (c) Compare the calculation in parts (a) and (b) to the approximation 1 exp(np). Sales Rise from 2000 per week to 2500 per week, calculate the percentage change.. 1. The cards bearing letters of word MATHEMATICS are placed in a bag. Find the probability of getting: (a) any vowel. (b) any consonant. (c) the letter m. 2. 8 added to twice a number gives 40. Find the number