What is Y in <br><br> y = –x + 4 <br><br> if x is equal to negative 1<br><br> why?

43 milk jugs are in a fridge with 11 that are spoiled. 5 jugs are randomly selected. what are the odds that the first two are go

malfutka [58]

Answer:

0.85% probability that the first two are good and the last three are spoiled

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the first two jugs is not important, as is not the order in which the last three are selected. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

2 spoiled, from a set of 43-11 = 32.

3 spoiled, from a set of 11.

So

$D = C_{32,2}*C_{11,3} = \frac{32!}{2!(32-2)!}*\frac{11!}{3!(11-3)!} = 982080$

Total outcomes:

5 jugs from a set of 43.

$T = C_{43,5} = \frac{43!}{5!(43-5)!} = 115511760$

Probability:

$p = \frac{D}{T} = \frac{982080}{115511760} = 0.0085$

0.85% probability that the first two are good and the last three are spoiled

4 0

3 years ago

Electric utility poles in the form of right cylinders are made out of wood that costs $25.46 per cubic foot. Calculate the cost

kotegsom [21]

Answer:

$ 1349.746624

Step-by-step explanation:

The volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as:

V=πr²h

where:

r is the radius

h is the height

Given the following parameters

r = d/2 = 1.5/2 = 0.75ft

h = 30ft

Get the volume of the cylinder

V=π(0.75)²(30)

V= 53.0144...ft³

If the wod costs $25.46 per cubic foot, hence the cost of the wood will be 53.0144*25.46 = $ 1349.746624

4 0

2 years ago

Which transformations could have been used to create A'B'C'? Choose all that apply.

Eduardwww [97]

The correct transformation is a rotation of 180° around the origin followed by a translation of 3 units up and 1 unit to the left.

<h3>Which transformation is used to get A'B'C'?</h3>

To analyze this we can only follow one of the vertices of the triangle.

Let's follow A.

A starts at (3, 4). If we apply a rotation of 180° about the origin, we end up in the third quadrant in the coordinates:

(-3, -4)

Now if you look at A', you can see that the coordinates are:

A' = (-4, -1)

To go from (-3, -4) to (-4, -1), we move one unit to the left and 3 units up.

Then the complete transformation is:

A rotation of 180° around the origin, followed by a translation of 3 units up and 1 unit to the left.

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

6 0

2 years ago

If CDE ~ GDF, find ED

qaws [65]

Answer:

10

Step-by-step explanation:

$\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}$

7 0

4 years ago

8. Solve for x.<br> 28°<br> X

Lerok [7]

Answer:

if X is the angle degree like I think it is, then X = 56 degrees

Step-by-step explanation:

isosceles triangles will have 2 equal base angles.

90 degree angle - 28 = 62°

62 is now each base angle.

62 times 2 angles equals 124

the final angle, x, is 180 - 124 = 56°

8 0

2 years ago

What is Y in y = –x + 4 if x is equal to negative 1 why?