Solve for x. 20 points!

Answer:

The measure of side FG is 3.

Step-by-step explanation:

Dilation is a process in which the dimensions of a given shape or figure is either increased or decreased by a scale factor to produce its image.

From the given question,

scale factor = 5

measure of side F'G' = 15

Thus,

scale factor = [tex]\frac{measure of side F'G'}{measure of side FG}[/tex]

side F'G' = scale factor x side FG

⇒ 15 = 5 x side FG

So that,

side FG = [tex]\frac{15}{5}[/tex]

             = 3

The measure of side FG is 3.

Answer:

Y would be 6

Step-by-step explanation:

it's shown in the graph that when you go to the x value of 5 and follow it the only point there is (5,6) so the answer is 6

Answer:

the answer would be 4m

hope this helped

Answer:

4m

Well there's 4 m's being added so to put it in simple terms, it would be 4m.

Answer:

A) P(X ≥ 3 ) = 0.7648

B) P(X ≥ 6) = 0.7515

C) P(X < 5) = 0.0949

D) P(X < 6) = 0.00031113

Yes. This is likely to happen if the true value of p is 0.65

E) P(X ≥ 17) = 0.012118

No. This is unlikely to happen if the true value of p is 0.65

Step-by-step explanation:

Solving this question means we have to deal with binomial probability distribution which follows a formula;

P(X = x) = C(n, x) * p^(x) * (1 - p)^(n - x)

We are given p = 65% = 0.65

A) probability of getting At least 3 out of the 5 business days, we have;

P(X ≥ 3 ) = P(X = 3) + P(X = 4) + P(X = 5)

And n = 5

Thus;

P(X = 3) = C(5, 3) × 0.65³ × (1 - 0.65)^(5 - 3)

P(X = 3) = 0.3364

P(X = 4) = C(5, 4) × 0.65⁴ × (1 - 0.65)^(5 - 4)

P(X = 4) = 0.3124

P(X = 5) = C(5, 5) × 0.65^(5) × (1 - 0.65)^(5 - 5)

P(X = 5) = 0.116

Thus;

P(X ≥ 3 ) = 0.3364 + 0.3124 + 0.116

P(X ≥ 3 ) = 0.7648

B) Probability of getting at least 6 out of the 10 business days.

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

From online binomial calculator, we have;

P(X = 6) = 0.2377

P(X = 7) = 0.2522

P(X = 8) = 0.1757

P(X = 9) = 0.0725

P(X = 10) = 0.0134

P(X ≥ 6) = 0.2377 + 0.2522 + 0.1757 + 0.0725 + 0.0134

P(X ≥ 6) = 0.7515

C) probability of getting fewer than 5 out of the 10 business days.

P(X < 5) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 4) = 0.0689

P(X = 3) = 0.0212

P(X = 2) = 0.0043

P(X = 1) = 0.0005

P(X < 5) = 0.0689 + 0.0212 + 0.0043 + 0.0005

P(X < 5) = 0.0949

D)probability of getting fewer than 6 out of the next 20 business days;

P(X < 6) = P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 5) = 0.000261

P(X = 4) = 0.000044

P(X = 3) = 0.0000056

P(X = 2) = 0.0000005

P(X = 1) = 0.00000003

P(X < 6) = 0.000261 + 0.000044 + 0.0000056 + 0.0000005 + 0.00000003

P(X < 6) = 0.00031113

Yes, in this scenario, It is likely to happen and I would think p is less than 0.65 because probability is less than 1 out of 1000.

E) probability of getting more than 17 out of the next 20 business days.

P(X ≥ 17) = P(X = 18) + P(X = 19) + P(X = 20)

From online binomial calculator, we have;

P(X = 18) = 0.0099846

P(X = 19) = 0.00195187

P(X = 20) = 0.00018125

P(X ≥ 17) = 0.0099846 + 0.00195187 + 0.00018125

P(X ≥ 17) = 0.012118

Probability is around 12 in 100 and not up to 50%. Thus, This is unlikely to happen if the true value of p is 0.65

Step-by-step explanation:

Spinner 2

Probability helps us to know the chances of an event occurring. Sam should use the second spinner.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Sam plans to use a spinner to choose which friend to invite to the movies, he wants each friend to have a fair chance of being selected.

The term fair means that everyone or everything that is in the list should have equal opportunity.

Now, since Sam wants each friend to have a fair chance of being selected, therefore, the area on the spinner for each friend should be equal.

Hence, Sam should use the second spinner.

Learn more about Probability here:

https://brainly.com/question/795909

#SPJ2

Answer:

Standard line equation:

y=ax+b

The point (5,1) is on the line. so :

1=a(5)+b → 1=5a+b

The point (1,-5) is also on the line. Then :

-5=a(1)+b → -5=a+b

Subtract the two equations in terms of a and b. we have:

6=4a → a=3/2 , b=-6.5

y=1.5x-6.5

Answer:

the total weight sold is 750g

Step-by-step explanation:

300+150=450

450+300 = 750

please mark me as brainliest its beside the rate sign and it looks like a king icon

Answer:

This is NOT a solution

Step-by-step explanation:

If we plug in the coordinates (-4,3) into 4x-y our new equation is 4×-4-3 and if we solve this equation.... 4×-4=-16 and -16-3=-19 which does NOT equal to -13

Answer:

see in the picture, we can see that SPRQ is a parallelogram

=> 70 = 14x

⇔ x = 70/14

⇔ x = 5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: C: 204 ft

Step-by-step explanation: plz mark me brainliest. 12x17=204

Answer:

option B

polynomial cannot have negative power

hope it helps

Answer:

X = 4

y = 15

Step-by-step explanation:

I hope that is useful for you :)

Answer:

y = -4x + 3

Step-by-step explanation:

(0, 3) and (2, -5)

m= (y2-y1)/(x2-x1)

m= (-5-3)/(2-0)

m= (-8)/2

m = -4

y - y1 = m(x - x1)

y - 3 = -4(x - 0)

y - 3 = -4x + 0

y = -4x + 3

Step-by-step explanation:

-9x=153 (add 9 on both sides to eliminate the 9 on the side with the x)

-9+9x=153+9

x=162

Answer:

make a story!

Step-by-step explanation:

I think what they want you to do is add a story Line to the problem! For example : John is selling cards for $4. After selling 3 cards etc, Sorry if this isn't much of a help! They want you to make a story to the answer (I think)

Answer:

no thank you

Step-by-step explanation:

put on 0

Answer:

10

Step-by-step explanation:

Answer:

12.76 in³

Step-by-step explanation:

The volume of a sphere formula is V = (4/3)πr³.

Here we use 3.14 for π and 1.45 in for r.  We get:

V = (4/3)(3.14)(1.45 in)³ ≈ 12.76 in³

Answer:

[tex] \frac{2}{5} [/tex]

Answer:

-0.499

Step-by-step explanation:

Isnt that it? xD

or 1.41

Answer:

8 and 5

Step-by-step explanation:

Answer:

8 and 5

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1/2 is the answer to your question