write an equation of the line that passes through the point P(2, 5 ) that is parallel to y=4x+1

Answer: 9

Step-by-step explanation:

-3 1/3 x (-2 7/10)

-3  = -3*(3/3) = -9/3

-3 1/3 = -10/3

(-2 7/10)

-2  = -2(10/10) = -20/10

-2 7/10 = -27/10

(-10/3)*(-27/10) = (270/30) = 9

Answer:

0.649

Step-by-step explanation:

The probability that the number of people who show up to the plane exceed the capacity of the plane is 0.257.

Binomial distribution in probability is the discrete distribution that results in only two possible values in an experiment. The two possible values are either success/ true/ one which is denoted by probability 'p' or failure/ false/ zero which is denoted by q = 1 - p.

Binomial distribution formula can be written as,

P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

where, n is number of experiments and x = 0, 1, 2, ...

Here, it is given that capacity of plane is 68

Number of people actually booked for flight is 70 ⇒ n = 70

Probability that people booked on their flight actually show up = 0.97

So, p = 0.97

⇒ q = 1 - p = 1 - 0.97 = 0.03

Let P be the probability that the number of people showing up exceed the capacity of the plane.

P = P (x = 69) + P (x = 70)

P = [⁷⁰C₆₉ (0.97)⁶⁹ (0.03)⁷⁰⁻⁶⁹] + [⁷⁰C₇₀ (0.97)⁷⁰ (0.03)⁷⁰⁻⁷⁰]

P = [ 70 × 0.122 × 0.03] + [1 × 0.119 × 0.03]

P = 0.2562 + 0.00357

P = 0.2598 ≈ 0.257

Hence, probability that the number of people who show up will exceed the capacity of the plane is 0.257.

To learn more on binomial probability distribution, click:

https://brainly.com/question/7283210

#SPJ2

Answer:

Q'(-4,0), R'(-4,1), S'(0,0), T'(-3,-3)

Step-by-step explanation:

To solve this, what we need to do is find out what the translation is. So if we are translating those coordinates up two units, then that means we are basically adding two to the y value.

So that means that we will use the mapping (x,y)→(x,y+2)

Now we plug this in. We will start with Q:

Q(-4,-2)→Q'(-4,-2+2)→Q'(-4,0)

So when Q is translated two units up, we get Q'(-4,0).

Now we will do R:

R(-4,-1)→R'(-4,-1+2)→R'(-4,1)

So when R is translated two units up, we get R'(-4,1).

Now we will do S:

S(0,-2)→S'(0,-2+2)→S'(0,0)

So when S is translated two units up, we get S'(0,0).

Next we will do T:

T(-3,-5)→T'(-3,-5+2)→T'(-3,-3)

So when T is translated two units up, we get T'(-3,-3).

Answer:

Step-by-step explanation:

Hello  there !

    [tex]\boxed{\begin{array}{c|c} \boxed{\bf x} & \boxed{\bf y+2} \\ -4 & 0 \\-4&1\\0\!\!\!\!&0 \\ -3 &-3 \end {array }}[/tex]

Answer:

2 metres per 1 hour

12 metres per 6 hours

30 minutes to glide 1 metre.

Step-by-step explanation:

1. To find the average speed, simply divide the distance covered by the amount of time taken, like so:

4 metres / 2 hours = 2 metres per 1 hour

2. To find how many metres the snail will glide in 6 hours, multiply the 2 metres per 1 hour by 6, like so:

6(2 metres per 1 hour) = 12 metres per 6 hours

3. Because we know that 2 metres take 1 hour to glide over, if we divide 2 in half, we get 1, so we can also divide 1 hour in half to get 30 minutes. Therefore, it takes 30 minutes to glide 1 metre.

Hope this helps :)

Answer:

a quadratic function is letter A

The probability of picking an orange or a cherry flavored candy from the bag is [tex]\frac{8}{15}[/tex].

Given that, total number of candies=15, banana flavoured candies=4, strawberry flavoured candies=3, cherry flavoured candies=6 and orange flavoured candies=2.

We need to find out what would be the probability of picking an orange or a cherry-flavoured candy from the bag.

According to the probability formula, the likelihood that an event will occur is equal to the proportion of favourable outcomes to all outcomes.

The probability of an event[tex]=\frac{Number of favourable outcomes}{Total Number of outcomes}[/tex].

Now, the probability of picking an orange flavored candy from the bag [tex]=\frac{2}{15}[/tex]

The probability of picking a cherry flavored candy from the bag [tex]=\frac{6}{15}[/tex]

The probability of picking an orange or a cherry flavored candy from the bag [tex]=\frac{2}{15}+\frac{6}{15}=\frac{8}{15}[/tex].

Therefore, the probability of picking an orange or a cherry flavored candy from the bag is [tex]\frac{8}{15}[/tex].

To learn more about the probability visit:

https://brainly.com/question/11034287.

#SPJ1

Answer:

What the hell AC is not given so you can't find the Perimeter

Step-by-step explanation:

       x+10=0

       x=-10

AB=x+5

        AB=-5

BC=x-2

        BC=-12

Area of ABC = 30cm2

Perimeter of ABC = AB+BC+AC

Answer:

1. 19 (x) = 7

2. -32 + x = 2

3. x ÷ -27 = 8

4. x - 12 = 5

5. 1/3 (x) = 3

Step-by-step explanation:

:)

25 red, 15 blue

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

Work Shown:

b = number of blue marbles = unknown

r = number of red = 25

T = number total = 25+b

r/T = probability of getting red = 5/8

r/T = 5/8

25/(25+b) = 5/8

25*8 = 5(25+b) .... cross multiplication

200 = 125+5b

200-125 = 5b

75 = 5b

5b = 75

b = 75/5

b = 15

We have 15 blue marbles and 25 red marbles. This means there are T = r+b = 25+15 = 40 marbles total.

The proportion of red is r/T = 25/40 = (5*5)/(5*8) = 5/8 to help confirm we have the correct value for b.

Answer:

of the 30 students in the class, 2/3 are wearing jackets. How many students in the class are wearing jackets.

Step-by-step explanation:

For the first one, the equation would be 1/3(30)

for the second, the equation would be 3/2(30)

and the last on would be the same as the first. 1/3(30)

Answer:

interesting

Step-by-step explanation:

Answer:

the answer is 207550

.............................

Answer:

If she runs for three hours, then she'll run 36 miles

Going at the speed she is going, Leila can travel a distance of 12(3 + t).

The distance that a person can travel is found by:

= Speed x time

The speed here is 12 miles per hour

Time = 3 more than t hours = (3 + t hours)

The distance Leila would have gone is therefore:

= 12 x (3 + t)

= 12 (3 + t)

In conclusion, as the question is not complete, the relevant expression to find the distance is 12 ( 3 + t)

Find out more at https://brainly.com/question/11317310.

Answer:

B

Step-by-step explanation:

x = -5

Put in -5 for x, and expand:

-40(k-x) = -40(k+5)

B. -40(k+5)

There is a total of 53 Yr 11 students. 18 in math 13 in science making 31 students, leaving 22 Year 11 students for english. 37 total students picked english, so that makes 15 the remaning amount which is put into the Yr12 students.

There are 100 students total. 53 of which are Yr 11 students leaving 47 to be Yr12 students.

12 Yr 12 students chose science, 15 Yr 12 kids chose english, leaving 20 Yr12 students to have chosen math.

12+15+20=47 Yr 12 students.

22+18+13=52 Yr 11 students.

15 Yr 12 students chose english.

20 Yr 12 students chose math.

12 Yr 12 students chose science.

There are 47 Yr 12 students total.

22 Yr 11 students chose english.

18 Yr 11 students chose math.

13 Yr 11 students chose science.

There are 53 Yr 11 students.

Answer:

He had $47 left from the school trip

Answer:

80%

Step-by-step explanation:

800-160=640

640/800=.8

.8=80%

Answer:

option d

hope it will help u

Answer:

I think its 2 gallons I'm soooo sorry i got it wrong

Answer:

8 weeks

Step-by-step explanation:

i just divided 120 and 15

Answer:

It's 8 weeks

Step-by-step explanation:

because you basically take 120/15= answer or amount due divided by amount payed per (time choice)= time taken

I hope this helped!

True

A triangle with all the three sides equal equilateral

Hope this helped you- have a good day bro cya)

Answer:

In order from left to right

5,0,0,-4,0,0,8

Step-by-step explanation:

A coefficient is a number that comes before the variable in an equation. First of all, it is important to note that variables that are not present in the equation have a coefficient of 0. This is because 0 times a number is 0; therefore, if a variable is not present it must be multiplied by 0. Additionally, constants can be represented as [tex]x^0[/tex]. Any number raised to the power of 0 is 1. Thus, the coefficient of x^0 is 5 because 1*5=5. Finally, the numbers 8 and -4 appear before [tex]x^6[/tex] and [tex]x^3[/tex], respectfully. Since they come before variables in a term they must be coefficients.

Answer: [tex]\frac{17}{4}[/tex]

Step-by-step explanation:

Simply convert 3/1 into 12/4, then add it to 5/4, to get 17/4.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

wheres the line

Step-by-step explanation:

Answer:

isoseles triangle

explanation: none of the sides are the same

hope this helps

Answer: SCALENE

Step-by-step explanation:

All sides are unequal, ISOSELES has 2 equal sides and EQUILATERAL all sides are equal.

Answer:

3/25 as a decimal is 0.12

Step-by-step explanation: