consider a cubic polynomial function g(x) with solutions x = 3 and x =2 -i. what statement must be true?

Answer:

6.144

Step-by-step explanation:

Given the expression

5ln(4t) = 16

Required

Solve for t

5ln(4t) = 16

Divide both sides by 5

5ln(4t)/5 = 16/5

ln(4t) = 3.2

Apply exponent to both sides of the equation

e^ln(4t) = e^3.2

4t = e^3.2

4t = 24.53

t = 24.53/4

t = 6.144

The value of t is 6.144

Answer:

Since AB  = AC  ....the angles opposite these sides are also equal...

So   y   =    [ 180 - 24 ] / 2   =  156 /  2    =   78°

Step-by-step explanation:

Hope that helps, let me know if theres anything wrong with my answer

please click thanks button or something

thanks babe!

Answer:

244.95

Step-by-step explanation:

i hope this what you want

Answer:

Step-by-step explanation!

width = w

length = w + 15

So: w(w + 15) =1250 square feet

w^2 + 15w = 1250

Next you do: w^2+15w-1250=0

Then you use the quadratic formula to factor.

Answer:

The absolute difference between the two calculations is 0.2

Step-by-step explanation:

Student 1

When the events do not affect each other, they are known as independent events. That is, two events are independent if the result of the second event is not affected by the result of the first event.

When two events are independent, the probability that A and B occur is equal to the product of the probability that A occurs and the probability that B occurs. Then:

P(A∩B)= P(A)*P(B)

The probability of the opposite event is equal to 1 minus the probability of the  event. So in this case you have:

P(A'∩B')= 1 - P(A∪B)

Being P(A∪B)= 0.7, then:

P(A'∩B')= 1 -0.7

P(A'∩B')= 0.3

Being P(A)= 0.5 and P(A'), so

0.3= 0.5*P(B)

[tex]P(B')=\frac{0.3}{0.5}[/tex]

P(B')=0.6

Being P(B)= 1 - P(B') so P(B)= 1 - 0.6 and you get P(B)=0.4

Student 2

Two events are mutually exclusive when both cannot occur simultaneously. In other words, two events A and B are incompatible or mutually exclusive when they have no element in common. This is: P(A∩B)= 0

Being P(A∪B) =P(A) + P(B) - P(A∩B), P(A)=0.5 and P(A∪B)= 0.7, you get:

0.7=0.5 + P(B) -0

Solving:

0.7=0.5 + P(B)

0.7 - 0.5 = P(B)

0.2 = P(B)

Finally the absolute difference between the two calculations can be calcutated as:

|0.4 - 0.2|= 0.2

The absolute difference between the two calculations is 0.2

Answer: 0.19158

Step-by-step explanation:

Given: An undergraduate class has 24 biology majors and 17 chemistry majors.

Total students needs to be selected = 8

Number of ways to select 8 students out of 41= [tex]^{41}C_8[/tex]

Number of ways to select exactly two chemistry majors (i.e. rest 6 will be biology majors) = [tex]^{24}C_6\times ^{17}C_2[/tex]

Required probability = [tex]\dfrac{^{24}C_6\times ^{17}C_2}{^{41}C_8}[/tex]

[tex]=\dfrac{\dfrac{24!}{6!(24-6)!}\times\dfrac{17!}{2!(17-2)!}}{\dfrac{41!}{8!(41-8)!}}\\\\=\dfrac{134596\times136}{95548245}\\\\= 0.19158[/tex]

The probability of choosing exactly two chemistry majors = 0.19158

Answer:

It would be Congruent, ASA.

Step-by-step explanation:

You can see there is a line on the side of both triangles meaning they're the same side and a circle in the corner of both triangles, meaning they're the same angle.

Answer:

I can confirm that the answer above me is right

Step-by-step explanation:

Answer:

For most people, health club membership expenses are considered discretionary.

Step-by-step explanation:

Answer:

well, I'm not sure about the answer but I think it's 108904.

Step-by-step explanation:

Hope you have a wonderful day. Always be positive. ❤

Answer:

10 1/5

Step-by-step explanation:

14 3/5 - 4 2/5 = 10 1/5.

Answer:

10 1/5

Step-by-step explanation:

3/5-2/5=1/5

14-4=10

10 1/5

Answer:

94

Step-by-step explanation:

Answer:

Stage 1: Simplify each side, if necessary.  

Stage 2: Use Add orSub. Properties to move the variable term aside and all different terms to the opposite side.  

Stage 3: Use multiplication or division

Stage 4: Check your answer.

Step-by-step explanation:

Answer:

The same shape but in a different location

Step-by-step explanation:

hope i helped u today:)

Answer:

20x - 5y= -5

6x- 5y= 9

14x= - 14

x= - 14by4= - 1

put value in equation2

6( - 1) - 5y= 9

- 5y= 9 plus 6

- 5y= 15

y= -15 by5= - 3

Answer:

i had the same question i think you have to add the num\Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

Total amount of mail delivered

Step-by-step explanation:

Answer:

till all the mail. is delivered

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming that we are only trying to calculate the probability of the light being green ONLY on day 4 then it would be the exact same probability as every other day, which would be 17%. Now if we are trying to calculate the probability of the light being green on the first consecutive 4 days then we would need to multiply this probability (in decimal form) four times for the four days like so...

0.17 * 0.17 * 0.17 * 0.17 = x

0.00083521 = x   ... times by 100 to get percentage

0.00083521 * 100 = 0.0835%

So the probability of the light being green 4 days in a row during your commute is 0.0835%

Answer: b = 1

Step-by-step explanation:

-11 + 3(b + 5) = 7 Given

-11 + 3b + 15 = 7 Distributive property

3b + 4 = 7 Combine like terms

- 4 - 4 Subtraction property

3b = 3 Simplify

b = 3/3 Division property

b = 1 Simplify

Answer:

The left hand is more accurate.

Step-by-step explanation:

If you look at the graph, it will look like the right hand is more accurate, due to the fact that it has a closer distance than the left. However, the right hand actually never have hit the target while the left did more than once.

Answer:

26/3 or 8 2/3

Step-by-step explanation:

= 13/5 x 10/3

= 13 x 10

  5  x  3

= 130/5

= 26/3

= 8 2/3

Answer:

Selection of all the true statements:

A: dilations always increase the length of line segments.

B: Dilations take perpendicular lines to perpendicular lines.

C: Dilations of an angle are congruent to the original angle.

F: Dilations of a triangle are similar to the original triangle

Step-by-step explanation:

Dilations are transformations that enlarge or reduce a figure from its original shape and size to another that a bigger or smaller. Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same.  This also implies that dilations of an angle are congruent to the original angle.

Answer:

180 ft

Step-by-step explanation:

We are told that the scale model is 40:1. And that it's being used to conduct wind - tunnel tests.

This means 40 units represents 1ft.

This means that 4.5ft will be;

(4.5 × 40)/1 = 180 ft

Thus, the actual length of airplane would be 180 ft.

Answer: It is the second one, third one, and last one

Step-by-step explanation:

Answer:

9p

p=6

9x6 = 54 books

Step-by-step explanation:

Answer:

expression: 9p

answer: 54

Step-by-step explanation:

9 books every month is 9 times p, or 9p

9(6)=54

hope this helps!

Answer:

Step-by-step explanation:

4w + 2L = 670

2w + L = 335

L = 335 - 2w

Area A(w) = w(335 - 2w)

max occurs at the average of the solutions.

solutions are w=0 and w = 167.5

the average is 83.75

83.75 * (335 - 2 * 83.75) = 14028.125

Complete Question

The probability that a single radar station will detect an enemy plane is 0.65.

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.)

Answer:

a

 [tex]n \approx 4[/tex]  

b

Step-by-step explanation:

From the question we are told that

The probability that a single radar station will detect an enemy plane is [tex]p =0.65[/tex]

 Gnerally the probability that an enemy plane flying over will be detected by at least one station is mathematically represented as

     [tex]P(X \ge 1 ) = 0.98[/tex]

=>   [tex]P(X \ge 1 ) = 1 - P(X < 1) = 0.98[/tex]

=>   [tex]P(X = 0) = 1 - 0.98[/tex]     Note [tex]P(X < 1) = P(X = 0)[/tex]

=>   [tex]P(X = 0) = 1 - 0.98[/tex]

=>   [tex]P(X = 0) = 0.02[/tex]

Generally from binomial probability distribution function

     [tex]P(X = 0) = ^nC_0 * p^{0} * (1- p)^{n- 0}[/tex]

Here C represents combination hence we will be making use of of combination functionality in our  calculators

Generally any number combination 0  is  1

So  

     [tex]P(X = 1) = 1 * 1* (1- 0.65)^{n- 0} = 0.02[/tex]

=>  [tex](1- 0.65)^{n- 1} = 0.02[/tex]

taking log of both sides

     [tex]log [(0.35)^{n- 1} ] = log (0.02)[/tex]

=>  [tex]{n- 1}log[0.35] = -1.699[/tex]

=>  [tex]{n- 1}* -0.4559 = -1.699[/tex]

=>  [tex]n= 3.7264 + 1[/tex]

=>  [tex]n= 4.7264[/tex]

=>  [tex]n \approx 4[/tex]  

Gnerally the expected number of stations that will detect an enemy plane is  

    [tex]E(X) = 7 * 0.65[/tex]

=> [tex]E(X) \approx4.5[/tex]

Answer:

12,69 hope this helps<3 can i have brainly?:)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It Going Down 1 across 2