You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. What is the probability of randomly picking
a green or blue marble out of the bag?
A)
0
B)
1
10
09
2
D)
7
10

Answer:

Maximum height = 346 feet

Step-by-step explanation:

Given that,

The height of the rocket, y in feet, is related to the  time after launch, x in seconds, by the given equation as follows :

[tex]y = -16x^2 + 136x + 57[/tex] .....(1)

We need to find the maximum height reached by the rocket. For maximum height,

Put dy/dt = 0

So,

[tex]\dfrac{d}{dt}( -16x^2 + 136x + 57)=0\\\\-32x+136=0\\\\x=\dfrac{136}{32}\\\\x=4.25[/tex]

No, put x = 4.25 in equation (1).

[tex]y = -16(4.25)^2 + 136(4.25)+ 57\\\\y=346\ feet[/tex]

So, the maximum height reached by the rocket is equal to 346 feet.

Answer:

Their combined height is 108 inches

Step-by-step explanation:

1 ft = 12 inches

12 * 4 = 48 inches

48 + 6 = 54 inches

54 * 2 = 108 inches

Answer:

9 ft and 0 inches

Step-by-step explanation:

4 ft 6 inch + 4 ft 6 inch = 8ft 12inch

12 inches = 1 foot

8 ft + 1 ft = 9ft

Answer:

Figures A, B, and C are polygons

Step-by-step explanation:

Figure D is not a polygon because a polygon must consist only of straight lines, no curves

Answer:

$1.80

Step-by-step explanation:

4x = 7.20

x = 1.80

Answer:

Step-by-step explanation:

at least.

Answer:

a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.

b) 0.0009 = 0.09% probability that none of the three will be filled correctly

c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly

e) 0.0082 = 0.82% probability that only your order will be filled correctly

Step-by-step explanation:

For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The percentage of orders filled correctly at Burger King was approximately 90.5%.

This means that [tex]p = 0.905[/tex]

You and 2 friends:

So 3 people in total, which means that [tex]n = 3[/tex]

a. What is the probability that all the three orders will be filled correctly?

This is P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412[/tex]

0.7412 = 74.12% probability that all the three orders will be filled correctly.

b. What is the probability that none of the three will be filled correctly?

This is P(X = 0).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009[/tex]

0.0009 = 0.09% probability that none of the three will be filled correctly.

c. What is the probability that one of the three will be filled correctly?

This is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245[/tex]

0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d. What is the probability that at least one of the three will be filled correctly?

This is

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

With what we found in b:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991[/tex]

0.9991 = 99.91% probability that at least one of the three will be filled correctly.

e. What is the probability that only your order will be filled correctly?

Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So

[tex]p = 0.905*0.095*0.095 = 0.0082[/tex]

0.0082 = 0.82% probability that only your order will be filled correctly

Answer: 119 and -119

Step-by-step explanation: The absolute value of a number is its distance from 0.

Answer:

119 and -119

Step-by-step explanation:

the value of a positive number inside the absolute values, signs doesn't change the value but if a negative number is put inside the absolute values, the signs change to be positive.

Hope that helps :)

Answer:

Okay. I'll check it out. Can you help me with my last question

too?

Answer:

TY

Step-by-step explanation:

Answer:

it's compliment is 55 degrees  (55+35 = 90 degrees)

it's supplement is 145 degrees (145 + 35 = 180 degrees)

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

blue and red

Step-by-step explanation:

hope it helped

Answer:

29

Step-by-step explanation:

The Trapezoid Midsegment segment theorem states that the length of the midsegment is half the sum of the length of its two parallel sides. Therefore:

MN = ½(AB + DC)

MN = ½(21 + 37)

MN = ½(58)

MN = 29

The profit of plumbing company from eds earn last year, 48200  

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The profits from eds plumbing company increased by 14,460, or 30% this year

The profit company earned last year = ?​

Suppose, last years profit = X

New profit = X + 0.30X  = X + 14460

   0.30X  =   14460

           X  =  48200

Hence, the last years profit is 48200  

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ5

Answer:

1. like

2.unlike

3.unlike

4.like

5. ......

6. ......

Step-by-step explanation:

Answer:

The number 5 and 6 is both unlike

I hope i it help's you

Answer:

72 cm²

Step-by-step explanation:

Given:

m<ABC = 44°

x = 16 cm

y = 13 cm

Required:

Area of the triangle

Solution:

Formula for finding area of a triangle using the Side-Angle-Side method is given as:

Area = ½*ab*sin C

where,

a = 16

b = 13

C = 44°

Plug in the values

Area = ½(16*13)*sin 44

Area = 72.2444705 ≈ 72 cm²

Answer:

x intercept =(-5/3,0)

y intercept = (0,5)

Step-by-step explanation:

FOR THE X INTERCEPT:

-plug 0 in for the y value because the y value is 0 at the x intercept.

     * 3x-0=-5 ---> 3x=-5 -----> x=-5/3 while y = 0

FOR THE Y INTERCEPT

-do the same thing as the x intercept, but instead of making y 0, make x 0.

     * 3(0) -y=-5 ----> 0-y=-5 -----> -y=-5 ------->y=5 while x=0

Answer:

D) {-5,1}

R) {-4,7}

x (-31/11,0)

y (0,31/6)

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

C. 3.5

2 is one less than 3 and 3.5 is one less than 4.5. It's pretty easy. :)

Answer:

XY=3

Step-by-step explanation:

Answer:

11?

Step-by-step explanation:

The missing side is 4 so 4+4+3=11.. Maybe?

Answer:

4^2 +3^2 =5^2

=25

Step-by-step explanation:

Pythagorean Theorem.

9514 1404 393

Answer:

  25

Step-by-step explanation:

Inverse variation means ...

  y = k/x

For the given values, we can find k to be ...

  k = xy = (5)(10) = 50

Then for x=2, we have ...

  y = 50/x

  y = 50/2

  y = 25 . . . when x=2