A class has five students. What is the probability that exactly two of the students were born on a weekend?

Answer:

0

Step-by-step explanation:

-4 - (-4) = 0

divided by

1 - 7 = -6

-0/6 so 0

Answer:

A 234.11

Step-by-step explanation:

[tex]= 234.11148454551 feet^{3}[/tex]  is what you get lol

Answer:

k = -10

Step-by-step explanation:

k/5 + 2.5 = 0.5

k/5 = -2

k = -10

Answer:

D) g(x)=(1/2x)²

Step-by-step explanation:

If you plug in 2 for the x in each equation, you find that only g(x)=(1/2x)² gives you a y-value of 1.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The cycle time of 1.5 minutes tells us that each workstation has 1.5 minutes to complete its assigned tasks. We assign tasks as follows.

Starting from a list of eligible tasks—those with no unworked preceding tasks—the selection criterion says we must choose the one with the longest task time. We continue in this way until the time remaining on the workstation is less than the time required for the longest eligible task. At that point, we open a new workstation and repeat the process.

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Comments on the solution

The numbers highlighted in red are the idle time for the workstation. Ideally, they are all positive, so as to be able to absorb any delays in executing the tasks. Here, we find that workstation 3 has no idle time, so any delay there will be a delay in required production of pumps.

The flow we have arranged is from Workstation 1 → Workstation 2 → Workstation 3. If flow back and forth between workstations were allowed, then we could assign task H to workstation 2 and tasks D and G to workstation 3 to create an idle time of 0.1 minutes at each workstation. Such an assignment would not strictly adhere to the "longest task first" criterion.

Answer 90

Step-by-step explanation:

Answer:A-120

Step-by-step explanation:

Answer:

C is the correct answer.

Step-by-step explanation:

Putting the value of x & y as -4 & 9 respectively.

9=(-1/4)(-4) + 8

9=1+8

9=9 [True]

Answer:

Yield on this bond = 4.5%

Step-by-step explanation:

Given:

Face value of bond = $10,000

Annual interest receives from bond = $450

Find:

Yield on this bond

Computation:

Yield on bond = [Annual interest / Face value]100

Yield on this bond = [Annual interest receives from bond / Face value of bond]100

Yield on this bond = [450 / 10,000]100

Yield on this bond = [0.045]100

Yield on this bond = 4.5%

Answer:

The recommended sample size is 1,698

Step-by-step explanation:

The given standard deviation in milk consumption per capita across the U.S., σ = 4 ounces

The required confidence level = 95%

The margin of error, e = ± 0.5

When the precision is doubled, we have the new margin of error = ±0.5/2 = ±0.25

The standard score at 99% confidence level, z = 2.576

The sample size formula is given as follows;

[tex]S = \dfrac{Z^2 \times P \times Q}{E^2}[/tex]

Where;

P × Q = The variance = σ²

∴ P × Q = 4² = 16

The sample size becomes;

S = 2.576² × 16/(0.25²) = 1,698.758656

We round down to get the recommended sample size, S = 1,698

Answer:

0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.

Step-by-step explanation:

For each citizen, there are only two possible outcomes. Either they have a cellphone, or they do not. The probability of a citizen having a cellphone is independent of any other citizen. This means that the binomial probability distribution is used 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.

A report by the US government states that 85,5% of citizens have a cell phone.

This means that [tex]p = 0.855[/tex]

You want to calculate the probability that exactly 36 out of 48 people in your study group have cell phones.

This is [tex]P(X = 36)[/tex] when [tex]n = 48[/tex]. So

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

[tex]P(X = 36) = C_{48,36}.(0.855)^{36}.(1-0.855)^{12} = 0.0214[/tex]

0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.

Answer:

its 12 sweety hope this helps

Answer:

1/2

Step-by-step explanation:

Well, First let us find the amount of numbers in a die greater than 3.

Remember greater than 3 does not include 3.

We have 3 numbers, 4,5,6 that are greater than 3.

The probabilty of getting a rolling a number greater than 3 is 3/6.

The  probability of the coin landing on heads is 1/2.

BUT, the problem is only requiring for you to find the probabilty of rolling a dice greater than 3. (key words)

Which is 3/6 or simplified to 1/2.

Answer:

Equation 1,

[tex]x + 2y = 11[/tex]

Equation 2,

[tex]x - 2y = 11[/tex]

Take equation number 2.

[tex]x - 2y = 11 \\ x = 11 + 2y[/tex]

Substitute 'x' in Equation number 1.

[tex]x + 2y = 11 \\ 11 + 2y + 2y = 11 \\ 11 + 4y = 11 \\ 4y = 11 - 11 \\ 4y = 0 \\ y = \frac{0}{4} \\ y = 0[/tex]

y = 0.

So x,

[tex]x = 11 - 2y \\ x = 11 - 2(0) \\ x = 11 - 0 \\ x = 11[/tex]

x = 11.

Answer:

using elimination method multiply both equations by 2...then subtract equation 2 from 1

Answer:

288 in^3

Step-by-step explanation:

1) find the volume of the cube

V = side^3 = 6^3 = 216 in^3

2) find the base surface of the pyramid:

base surface = side^2 = 6^2 = 36 in^2

3) find the height of the pyramid:

height of the solid - height of the cube = 12 - 6 = 6 in

4) find the volume of the pyramid:

V = (base area x height) / 3 = (36 x 6)/3 = 72 in^3

5) add up the two volumes

V = 216 + 72 = 288 in^3

Answer:

98.1 is your anwser I know this kinds of stuff

Step-by-step explanation:

v=22/7×r^2×h/3

=22/7×21/2×5/3

=33/5

=11cm^3

Answer:

15.75-1.50=14.15

14.15-0.75=13.50

Answer:

f(x) = -4x + 21

Step-by-step explanation:

Given:

(4, 5) and (2, 13)

Required:

Linear function of that passes through the given points

Solution:

We need to determine the slope (m) and y-intercept (b) of the function.

✔️Finding the slope using the points given:

Slope (m) = change in y/change in x

= (13 - 5)/(2 - 4)

= 8/-2

m = -4

✔️To find y-intercept (b), substitute (x, f(x)) = (4, 5) and m = -4 into f(x) = mx + b

5 = -4(4) + b

5 = -16 + b

5 + 16 = b

b = 21

✔️To write the function, substitute m = -4 and b = 21 into f(x) = mx + b

f(x) = -4x + 21

Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The discount on new camera bought by Amelia = 30%.

To find the number that Amelia should multiply to pay,

Let The required number be x,

and total price of the camera is 100%

So after discount the price of camera = 100 - 30 = 70%

Implies that,

100 × x = 70

x = 70 / 100

x = 7 / 10

So the required number is 7/10 that Amelia should multiply the price she would have to pay.

To know more about Percentage on:

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Answer:

Option 3rd is correct

Step-by-step explanation:

(1,-6),(2,-4),(2,-2),(4,-2),(6,0)

Answer:

250 ml of the 75% mixture are needed to obtain the desired solution.

Step-by-step explanation:

Since I need a 70% alcohol solution, and on hand, I have a 40 mL of a 35% alcohol mixture, and I also have 75% alcohol mixture, to determine how much of the 75% mixture will you need to add to obtain the desired solution, the following calculation must be performed:

100 x 0.75 + 0 x 0.35 = 75

90 x 0.75 + 10 x 0.35 = 71

89 x 0.75 + 11 x 0.35 = 70.6

87.5 x 0.75 + 12.5 x 0.35 = 70

12.5 = 40

87.5 = X

87.5 x 40 / 12.5 = X

3,500 / 12.5 = X

280 = X

Therefore, 250 ml of the 75% mixture are needed to obtain the desired solution.

Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is the 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way than before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equtions:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.

Answer:

(-8)x(-8)=64

Step-by-step explanation:

(-8)²

(-8)x(-8)=64

The repeated multiplication of (-8)² is -8 x (-8).

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base.

We know that exponents and power used to express powers.

like if we have 5³ then 5 is multiplied to itself 3 times.

Here we have (-8)² then we can write

(-8)²

= -8 x -8

= 8 x 8

= 64.

Learn more about Exponent and power here:

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Answer:

The answer is b: 1.8

Step-by-step explanation:

Use the arctans of (-4/-5) and subtract is from the arctan of (-3/-4)

38.65980825 - 36.86989765 = approx. 1.8 (b)

:)

Answer:

6 and 8

Step-by-step explanation:

Answer:

Your answer is C

Step-by-step explanation:

Answer:

C is a rational function

Answer:

A figure is reflected in two intersecting lines that form an angle of 40°

Answer:

-15

Step-by-step explanation:

yan po ang answer thank you na lang po