Ten little monkeys were jumping on a bed. There is a 35% chance that one will fall off and bump his head. In the bedroom next door, five kangaroos were jumping on a bed. Being more adept at jumping, there is only a 20% that a kangaroo will fall off the bed.

Required:
a. What are the chances that a monkey and a kangaroo will fall off the bed?
b. What are the chances that a monkey will fall off the bed?
c. If the monkeys enjoy this activity every night for an entire week, what are the chances that a monkey falls off the bed every one of the seven nights?

Answer:

[tex]x = 10[/tex] will make the equation true

Step-by-step explanation:

Given

[tex]\{3,10,90,108\}[/tex]

[tex]3x +3= 33[/tex]

Required

Which is true for x

We have:

[tex]3x +3= 33[/tex]

Collect like terms

[tex]3x= 33 - 3[/tex]

[tex]3x= 30[/tex]

Solve for x

[tex]x = 30/3[/tex]

[tex]x = 10[/tex]

Answer:6.49

Step-by-step explanation:Discount = Original Price x Discount %/100

Discount = 25.95 × 25/100

Discount = 25.95 x 0.25

You save = $6.49

Answer:

the monthly rents of the apartments

Step-by-step explanation:

In the field of statistics, the population of interest may be defined as the group or the population from which the experimenter or the researcher tries to make conclusions or draw their results.

In the context, I am interested to study the cost of the rented house that is more than others in the West Campus area.

So I recorded the monthly rents of the apartments from a sample of 30 one bedroom apartments.

Therefore, the population of interest for my study here is the monthly rents recorded from the sample of one bedroom apartments.

Answer:

C

Step-by-step explanation:

When the expression has an equal sign there is only one solution

6x = 150

* divide each side by 6 *

6x / 6 = x

150 / 6 = 25

we're left with x = 25

The answer would be C, because the dot is in between 24 and 26 which would be 25 and x equals 25

Answer: (x+2)(2x-8)

if you let x = 1 it give h(x) = -18

the supply changing when x=20 is 40

Step-by-step explanation:

here is the answer click the photo

Answer:

1861.39 cm²

Step-by-step explanation:

Given:

d = 15 cm

radius (r) = ½(15) = 7.5 cm

Height = 32 cm

Surface area of a cylinder = 2πrh + 2πr²

Plug in the values

Surface area = 2*π*7.5*32 + 2*π*7.5²

= 1861.39 cm²

Answer: A

Step-by-step explanation:

Answer:

0.32851 Kilometers i think

Step-by-step explanation:

Answer:

315 cubic inches

Step-by-step explanation:

To calculate the volume you multiply all the numbers together.

9 × 7 × 5 = 315

The volume of the rectangular prism is 315 cubic inches

Have a wonderful day! :D

Step-by-step explanation:

First u have to do the work of bracket and the solve

9514 1404 393

Answer:

  16

Step-by-step explanation:

The altitude of the triangle is 12/21 = 4/7 of the marked side. If we assume that the marked sides are the ones that are corresponding, then ...

  x = (4/7)(28)

  x = 16

Answer:

1

Step-by-step explanation:

1 twice is still 1. This is less then 3.

1 x 1 = 1 <3

Answer:

8 hours

Step-by-step explanation:

total labor hours required

12 * 6 = 72

hours per worker with 9 workers

72/9 = 8

8 hours

Answer:

10% probability that contestant knew the answer rather than guessed it

Step-by-step explanation:

Since it is estimated that 10% of the general population know the correct answer to this question, for each contestant, there is a 10% probability that he knew the answer rather than guessing.

So the answer is 10% probability that contestant knew the answer rather than guessed it

Answer:

ASA

Step-by-step explanation:

They are congruent by the ASA congruency.

Answer:

2, 4

Step-by-step explanation:

Answer:

Angle 1 = 35

Angle 2 = 30

Answer B

Step-by-step explanation:

Angle 1)

You know the total angles in a triangle are 180

You also know that the angle across from 1, next to 115 has to be 180-115 (65) or , this gives you

180-80-(180-115)= 35

Angle 2 )

You know the total angles in a triangle are 180

You also know that the angle across from 85, next to 115 is the same value 65 as it was for the calculation of angle 1.

so this means

180-85-65 = 30

Answer:

1568cm²

Step-by-step explanation:

28cm + 28cm = 56cm

35cm + 21cm = 56cm

56 × 56 = 3136cm²

3136cm² ÷ 2 = 1568cm²

Answer:

Point T(x, y) is translated 71 units up and then rotated 180° about the origin

Point U(x, y) is rotated 90° counterclockwise, then translated 124 units up.

Point V(x, y) is reflected about the y axis, then translated 8831 units to the left.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point R(x, y) is vertical stretched by a factor of 38 followed by a horizontal stretch of 7, the new point is at R'(x/7, 38y). That is (x, y) ⇒ (x/7, 38y).

If a point S(x, y) is translated 9 units to the right, the new point is (x + 9, y), if it is reflected over the y axis, the new point is S'(-x-9, y). That is (x, y) ⇒ (-x-9, y).

If a point T(x, y) is translated 71 units up, the new point is at (x, y + 71), if it is rotated 180° about the origin, the new point is at T'(-x, -y - 71). That is (x, y) ⇒ (-x, -y - 71).

If a point U(x, y) is rotated 90° counterclockwise, the new point is at (-y, x), if it is then translated 124 units up, the new point is U'(-y, x + 124).

If a point V(x, y) is reflected about the y axis, the new point is at (-x, y), if it is then translated 8831 units to the left, the new point is V'(-x - 8831, y).

Answer:

-30

Step-by-step explanation:

0.6x+7=0.1x-8

0.6x-0.1x=-8-7

0.5x=-15

x=-15/0.5

x=-30

Answer:

Area of rectangle = 10 units²

Area of triangle = 10 units²

Area of figure = 20 units²

Step-by-step explanation:

Answer:

She probably wants attention from you maybe compliment her outfit or something like that.

Answer:

b. about 9.4 days

Step-by-step explanation:

Amount of the compound:

The amount of the compound after t days is given by the following equation:

[tex]y(t) = ae^{-0.0736t}[/tex]

The initial amount is:

[tex]y(0) = a[/tex]

Half-life:

t for which [tex]y(t) = 0.5a[/tex]. So

[tex]y(t) = ae^{-0.0736t}[/tex]

[tex]0.5a = ae^{-0.0736t}[/tex]

[tex]e^{-0.0736t} = 0.5[/tex]

[tex]\ln{e^{-0.0736t}} = \ln{0.5}[/tex]

[tex]-0.0736t = \ln{0.5}[/tex]

[tex]t = -\frac{\ln{0.5}}{0.0736}[/tex]

[tex]t = 9.42[/tex]

So about 9.4 days, and the answer is given by option b.

Answer:-5

Step-by-step explanation:

Answer:

If the length and width are 8 and 12 than the area is 96. (D)

Step-by-step explanation:

Area is length x width.

12 x 8 = 96

Therefore, the area is 96.0 inches.

Answer: what’s the question

?

Step-by-step explanation:

Answer:

0.156

Step-by-step explanation:

Given that :

% of Explained variance by certain predictors of first year college grade :

SAT 11 scores = 17%

GPA = 15.6%

SAT 1 = 13.3%

Fitting a least squares line :

y = First year college GPA

x = high school GPA

THE r² value which is Coefficient of determination is the percentage of explained variance given by the regression line. The r² value of GPA will the as given above 15.6%

r² = 15.6% = 15.6/100 = 0.156