At the Galapagos Islands, Dr. Owen finds 102 giant tortoise eggs that he brings back to his research center to be hatched in safety. At the research center, six of the eggs hatch, and the hatchlings are placed in a nursery. Dr. Owen places equal but unknown numbers of the remaining eggs in eight different labs.

Which of the following equations best represents this situation?

Question 5 options:

8x-6=102


102x=8-6


6x+8=102


8x=102-6

The probability that one shopper, selected at random prefers either Beverage A or Beverage C; P(A or C) = 12/25.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

We are looking for the probability that one shopper, selected at random prefers either Beverage A or Beverage C.

a. A probability distribution of the experiment.

The probability of selecting Beverage A is ;

P(A) = 15/50 = 0.3

The probability of selecting Beverage B is ;

P(B) = 12/50 = 0.24

The probability of selecting Beverage C is ;

P(C) = 9/50 = 0.18

The probability of selecting Beverage D is ;

P(D) = 6/50 = 0.12

The probability of selecting Beverage E is ;

P(E) = 8/50 = 0.16

b. The probability that one shopper, selected at random prefers either Beverage A or Beverage C.

P(A or C) = 15/50 + 9/50

P(A or C) = 24/50

Thus, P(A or C) = 12/25

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Answer:

4 approx.

Step-by-step explanation:

The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube.

let the N be the number of layers of 1-inch cubes that would it take to fill the box.

Since the larger box is also a cube

Therefore, 96 = N^3

N = (96)^(1/3)

N = 4√6

Therefore, there would be 4 layers of the 1-inch cube and some extra incomplete layer

Answer:

50

Step-by-step explanation:

20/ 100 x 50

then u will get 10 as the answer

Answer:

the first method is method of grouping so u say (2x - 4x) -(2xy+4y) so u already know that the 2x is square so no mean to put it there so u say 2x(x- 2)-2y (x+2) so u see the bracket are the same so u take one (x- 2) (2x -2y) done

Answer:

[tex]2(x-2) ( x-y)[/tex]

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

Answer:

the size is 3size Dana makatulong Tama Yan

Answer:

1/6

Step-by-step explanation:

The coin toss and the cube roll are entirely separate and independent events.  To find the joint probability P(tails and 3) we need only find the probabilities of the two events and then multiply them together.

P(tails) = 0.5

P(3) = 1/6, or 0.3333 ....

Desired joint probability = (1/2)(1/3) = 1/6

Answer:

36

Step-by-step explanation:

You are given an expression and values to be put into it.

Simply substitute the values in instead of [tex]x[/tex] and [tex]y[/tex].

[tex](x-y)^2[/tex]

When [tex]x=5[/tex] and [tex]y=-1[/tex]:

[tex](5-(-1))^2 = (5+1)^2=(6)^2=36[/tex] - Note: Be careful with negative signs here. Two negatives make a positive.

Answer:

72º

Step-by-step explanation:

C = arcsin .9513

C = 72.045199929442813

C = 72º

Answer:

x = 4

y = 3

Step-by-step explanation:

x = 10 - 2 y

 substitute  x = 10 - 2y into 2x - y = 5

20- 5y = 5

  then

  y = 3

    and

 x  = 4

Mark brainliest

Answer:

1,3

Step-by-step explanation:

Answer:

Graph A.

Step-by-step explanation:

When x is equal to 0, why has to be equal to 2. The slope also has to be 3. To find this out, we do y2-y1/x2-x1. For A, the slope is -7--4/-3--2. This is equal to -3/-1. This is equal to 3. Because y=2 when x=0. option A is correct. For option D, when x=0, y=32. Therefore, this option is not correct. For option B, when x=0, y=2 so this could be correct. Plug it into y2-y1/x2-x1. This is equal to -1-0/-1-2. This is equal to -1/-3. 1/3 is not equal 3 so this option is not correct either. When x=0, y=32 for option C. Therefore, this option is not correct. Therefore, the answer is option A.

If this helps please mark as brainliest

Answer:

A

Step-by-step explanation:

for example

x = -4 and y = -10

y = 3x + 2

-10 = 3 . -4 + 2

-10 = -12 + 2

-10 = -10

Answer:- 1/6

Step-by-step explanation:

Answer: 16 3/2

Step-by-step explanation:

Because the division bass and I did it for the nether and the internet it is not the same as it does it not like the earth or the internet or anything bad

Answer:

Step-by-step explanation:

What they said

Answer:

D

Step-by-step explanation:

I'm pretty sure its D but correct me if i got it wrong!

Answer:

72.5

Step-by-step explanation:

Angle X is congruent to 35

both angles y and angle x together form a line that equals 180

so for angles y, take 180 - 35 = 145

Angles y is 145/2

Answer:

880

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

-11 2/3 x (-4 1/5) =

negative times negative = positive

Change the mixed numerals into fractions.

= 35/3 × 21/5

Multiply the numerators together. Multiply the denominators together.

= (35 × 21)/(3 × 5)

Simplify.

= (7 × 5 × 7 × 3)/(3 × 5)

Divide the numerator and denominator by 3 and by 5.

= 7 × 7

= 49

Answer:

How to do algebraic equations

Step 1: Write Down the Problem. ...

Step 2: PEMDAS. ...

Step 3: Solve the Parenthesis. ...

Step 4: Handle the Exponents/ Square Roots. ...

Step 5: Multiply. ...

Step 6: Divide. ...

Step 7: Add/ Subtract (aka, Combine Like Terms) ...

Step 8: Find X by Division.

Alegraic expressions

1.Here are the basic steps to follow to simplify an algebraic expression:

2.remove parentheses by multiplying factors.

3.use exponent rules to remove parentheses in terms with exponents.

4.combine like terms by adding coefficients.

combine the constants.

Hope u have a nice day :)

Answer:

Approximately [tex]0.032[/tex] (or, equivalently, [tex]3.2\%[/tex],) assuming that the availabilities of the [tex]12[/tex] jurors are independent from one another.

Step-by-step explanation:

The question states that the probability that a given juror is unavailable is approximately [tex]0.25[/tex].

For the complement of that event, the probability that this particular juror is available would be [tex]1 - 0.25 = 0.75[/tex].

Assume that the availabilities of the [tex]12[/tex] jurors are independent from one another. The number of available jurors would be a binomial variable with [tex]n = 12[/tex] and [tex]p = 0.75[/tex] ([tex]12\![/tex] independent observations, each with a [tex]0.75[/tex] probability of being "available".)

Hence, the probability that all [tex]12[/tex] jurors are available would be:

[tex](0.75)^{12} \times (0.25)^{0} \approx 0.032 = 3.2\%[/tex].

Answer:

x = 27

Step-by-step explanation:

∠ GAF = 90° , then

x + 63 = 90 ( subtract 63 from both sides )

x = 27

Answer:

27

Step-by-step explanation:

Angle x and 63 are complementary angles forming 90

Therefore,

90 - 63 = x

27 = x

Answer:

Surface area of a square pyramid = a2 + 2al =  81 + 2  ( 9 )  ( 6) = 189

Step-by-step explanation:

Surface area of a square pyramid = a2 + 2al

where,

a = base length of square pyramid  = 9

l = slant height or height of each side face = 6

Answer:

Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.

Step-by-step explanation:

Dada la falta de información, asumimos que el préstamo fue realizado sin tasa de interés, de modo que la deuda solo sea el monto inicial menos las cuotas pagadas por quien recibe el préstamo, la cantidad de dinero que adeuda al banco es:

[tex]x = \$\,100000 - \$\,32950 - \$\,25825[/tex]

[tex]x = \$ \,41225[/tex]

Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.

Answer:

Height of building from base to ladder = 5.8 meter (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 6 meters

Distance of ladder from base = 1.5 meters

Find:

Height of building from base to ladder

Computation:

Perpendicular = √Hypotenuse² - Base²

Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²

Height of building from base to ladder = √6² - 1.5²

Height of building from base to ladder = √36 - 2.25

Height of building from base to ladder = √33.75

Height of building from base to ladder = 5.8 meter (Approx.)

Answer:

[tex]C\approx 5.14[/tex]

Step-by-step explanation:

The circumference is the distance around a complete circle: in essence, the perimeter of a circle. The formula to find the circumference of a circle is the following:

[tex]C=(d)(\pi)[/tex]

Where (d) represents the diameter, the largest cord that can be drawn in a circle, it goes from one end to another, passing through the center of the circle. The parameter ([tex]\pi[/tex]) represents the number (3.1415...). However, one is given a semicircle, thus one must divide the result in two, and then add the value of the diameter to find the perimeter of the given object. Therefore the equation for the circumference of this circle is as follows:

[tex]C=\frac{(d)(\pi)}{2}+(d)[/tex]

Substitute in the given value,

[tex]C=\frac{(2)(3.1415)}{2}+(2)[/tex]

Simplify,

[tex]C=3.1415...+2[/tex]

[tex]C=5.1415[/tex]

[tex]C\approx 5.14[/tex]

Answer:

I rounded to 1,591 rolls of toilet paper can fit. I have the big rolls so I may fit less than the average roll.

Step-by-step explanation:

87.96 SA Per roll

140,000 Volume for the closet.

Answer:

x = 7

Step-by-step explanation:

*set equations = to each other since they're corresponding angles which are equal to each other*

15x - 5 = 13x + 9 --> *subtract 13x from both sides*

2x - 5 = 9 --> *add 5 to both sides*

2x = 14 *divde by 2 on both sides*

x = 7

check:

15 (7) - 5 = 13 (7) + 9

105 - 5 = 91 + 9

100 = 100