Calculate the length of x.

The probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow is 47/128.

The probability that less than 2 babies will speak is

5C0 * (0.25)^0 * (0.75)^5 +  5C1 * (0.25)^1 * (0.75)^4

= (0.75)^5 +  5 * 0.25 * (0.75)^4

(0.75)^5+5*0.25*(0.75)^4 = 81/128

Therefore,

probability that 2 or more will speak is  

=  1- 81/128 = 47/128

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probability display style q=1-pq=1-p).

This distribution is used in probability theory and statistics. A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results.

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Dan and his wife each get (x - t - 130)/2 pounds after he pays his tax of £t and rent of £130.

After Dan pays his tax and rent, he has x - t - 130 pounds left. He shares this amount equally with his wife. Therefore, each of them would get (x - t - 130) / 2 pounds.

For example, if Dan's wages are £500, his tax is £100, then his remaining income after paying tax would be £400. After paying rent of £130, he would be left with £270. He would share this equally with his wife, so each of them would get £135. Therefore, Dan and his wife each get (x - t - 130)/2 pounds after he pays his tax of £t and rent of £130.

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Answer: is the answer suppose to be a letter or a number ?

Step-by-step explanation:

Answer:

No

Step-by-step explanation: Jerome’s scenario does not match the expression. The term s/4  means the number of songs is divided by four, but the scenario uses the word ‘times,’ which means multiplication. The scenario should say ‘16 fewer than one-fourth the number of songs.’

Answer:

a direct variation means that the ratio of the variables is constant.as we know y=kxrepresents a family of straight lines passing through the origin.

Step-by-step explanation:

thisthis means as x increases y increases and aspects decreases y increases and the ratio between them always stayed the same

Answer:

A direct variance implies that the ratio of the variables is constant, since we know that y= kx represents a straight line family that passes through the origin.

The equation for the relationship between units of white paint, w, and units of black paint, b is 3w + b = 4g

The given parameters;

number of white paints, w = 3

number of black paint, b = 1

Let the number of gray paint = g

the total number of gray paint formed = 4 units

The equation that show the relationship between the two paints is given as;

3w:b = 4g

3w + b = 4g

Thus, the equation for the relationship between units of white paint, w, and units of black paint, b is 3w + b = 4g

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The mean of the probability distribution is 21.35 and the variance of the probability distribution is 51.3275

Given the probability distribution with values of x and corresponding P(x). We need to find the values of \(x^2\), x P(x), \(x^2\) P(x) to calculate mean and variance.

x       P(x)          \(x^2\)      x P(x)      \(x^2\) P(x)

7       0.10         49       0.7         4.9

14     0.20        196      2.8         39.2

21     0.25         441     5.25       110.25

28     0.45        784     12.6       352.8

-----------------------------------------------------

∑x P(x) = 21.35

∑\(x^2\) P(x) = 507.15

Mean = ∑x P(x) = 21.35

and variance = ∑\(x^2\) P(x) - \((\sum x\ P(x) )^2\) = 507.15 - 455.8225 = 51.3275

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The number of shoes she sells last week (b) 35

From the question, we have the following parameters that can be used in our computation:

Commission = $25 per shoe

Base salary = $450

Amount earned = $1325

The above means that

Amount earned = Commission x Number of shoes + Base salary

Substitute the known values in the above equation, so, we have the following representation

25 x Number of shoes + 450 = 1325

This gives

25 x Number of shoes = 875

So, we have

Number of shoes = 35

Hence, the number of shoes is (b) 35

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Answer: Yes, they receive more than $82 for their job

Step-by-step explanation:

First, take 70 times 0.05% = $3.50

Then add them to equal $73.50 is their charge for the job!

Now it says that the homeowner tip 15%

So take 73.50 times 0.15% = $11.03

Then add 73.50 with 11.03 = $84.53

Yes, they receive more than $82 for their job

Answer:

Your answer is 50 degrees.

Step-by-step explanation:

An isosceles triangles base angles are equal.

A triangle's angles add up to be 180 degrees.

65+65+x = 180

130+x = 180

x = 50

Vertex angle is 50⁰.

A closed two-dimensional figure with three sides, three angles, and three vertices is called a triangle. The smallest polygon with the fewest sides is the triangle. A triangle can be divided into three categories based on its sides:

Scalene Triangle: Each side measures differently.

Isosceles Triangle - Different sides of a triangle are of a similar measure and the excess side has an alternate measure.

An equilateral triangle has three sides that are all the same size.

Given an isosceles triangle,

measure of base angle = 65⁰

in an isosceles triangle two angles are equal and sum of all the angles is 180⁰, the equal angles are called base angle;

let vertex angle be x , according to triangle property

sum of all the angles is 180⁰,

base angle + base angle + vertex angle = 180

65 + 65 + x = 180

x = 180 - 130

x = 50⁰

Hence the the measure of the vertex angle is 50⁰.

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Answer:0.20 pounds remain .0.21 minus 0.01 = 0.20

Answer:

0.20

Step-by-step explanation:

Therefore, the present value of the perpetuity that pays $1,800 per year forever, assuming a 5% interest rate, is $36,000. To find the present value of a perpetuity that pays $1,800 per year forever, we can use the formula:
Present Value = Cash Flow / Interest Rate

In this case, the cash flow is $1,800 and the interest rate is 5%. Plugging these values into the formula, we get:
Present Value = $1,800 / 0.05. Simplifying this equation, we find that:
Present Value = $36,000

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Answer:

common ratio(r)= 8÷(-16/5)= -20/8= -2.5 or -5/2

Gn=G1r^(n-1)

the next term will be the 4th term, means n=4

G4= (-16/5)((-5/2)^(4-1)

=(-16/5)(-125/8)

=50

Therefore the next term will be 4th term(G4)=50.

The next term of Sequence is 50.

A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio, or r.

An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.

Given:

-16/5 ,8, -20,

First, common ratio(r) = 8÷ (-16/5)

                                    = -20/8

                                    = -2.5 or -5/2

Now,\(G_n=G_1r^{(n-1)\) and for n=4

\(G_4\) = (-16/5) \((-5/2)^{(4-1)\)

=(-16/5)(-125/8)

=50

Hence, the next term is 50.

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The answer to your problem is 37.

Answer: 1,000.77

Step-by-step explanation:

After 1 year: 980 + 0.3% = 982.94

After 2 years: 982.94 + 0.3% = 985.89

After 3 years: 985.89 + 0.3% = 988.85

After 4 years: 988.85 + 0.3% = 991.82

After 5 years: 991.82 + 0.3% = 994.80

After 6 years: 994.80 + 0.3% = 997.78

After 7 years: 997.78 + 0.3% = 1,000.77

Brainliest?

According to the given question -12 \(\times\) 2/3 is equal to -8.

There are certain rules to solve this question.

multiply -12 × 2 = -24

And,

then divide it by 3 as stated in the denominator.

\(\frac{-24}{3}\) = -8

This is how we solve this equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

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Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

4x - 9 = -2x + 9

collect like term

4x + 2x = 9 + 9

6x = 18

Divide both-side of the equation by 6

x = 18/6

x = 3

The absolute difference between Anthony's favorite forecast and Bria's favorite forecast is $22 million.

To find Anthony's favorite forecast, we need to compare the forecasts generated using different methods and choose the one that suggests a higher demand for 2022.

Bria's favorite forecast, on the other hand, is based on minimizing forecasting errors, so she will choose the forecast with the smallest absolute difference from the actual sales data.

Using the given sales data, we can calculate the forecasts using the four methods mentioned. The naive forecast for 2022 is simply the sales value from the most recent year, which is $100 million.

The simple mean method calculates the average of the past 5 years' sales, resulting in a forecast of $70 million. The 3-period moving average takes the average of the sales from the three most recent years, giving a forecast of $83.33 million.

The 2-period weighted moving average assigns weights of 0.8 and 0.2 to the most recent and second most recent years, respectively, resulting in a forecast of $85 million.

Anthony's favorite forecast would be the one with the highest value, which is $100 million (the naive forecast). Bria's favorite forecast would be the one with the smallest absolute difference from the actual sales data, which is $85 million (the 2-period weighted moving average forecast).

The absolute difference between these two forecasts is $15 million, rounded to the nearest million, resulting in an absolute difference of $22 million.

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Answer:

A

Step-by-step explanation:

Answer:

Dependent clause

Step-by-step explanation:

Look at the sentence ----> "When you want the report."

Heres a trick that you can use whenever a sentence starts with before, if, since, that, until, what, when, where, who, which, and why etc.

This means that its a dependent clause.

Also another way of why it is a dependent clause is because it doesn't express a complete thought.

In this case you want to know what happens next (curiosity)

Hope this helps!

PPM stands for "parts per million" and is a way of expressing small concentrations of substances in a larger mixture. To calculate PPM, divide the mass or volume of the substance by the total mass or volume of the mixture and multiply by one million.

To calculate PPM, you need to know the mass of the substance in question and the total mass of the mixture. Here are the steps to calculate PPM:

1. Determine the mass of the substance in question. For example, let's say you have a mixture that contains 0.5 grams of salt.

2. Determine the total mass of the mixture. For example, let's say the total mass of the mixture is 1000 grams.

3. Divide the mass of the substance by the total mass of the mixture. In this example, 0.5 grams / 1000 grams = 0.0005.

4. Multiply the result by 1,000,000 to get the PPM. In this example, 0.0005 x 1,000,000 = 500 PPM.

So, the concentration of salt in the mixture is 500 PPM. Remember to always use the same units of measurement for both the substance and the mixture when calculating PPM.

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Answer:

depends on the car

Step-by-step explanation:

Answer:

It depends on how many sits the car have

Step-by-step explanation:

Answer:

14/33 15/33 16/33

Step-by-step explanation:

If his friend Nick pulls 2 marbles from the first bag, what is the probability of him getting 2 purple marbles then, the probability of Nick getting 2 purple marbles is P = (6C2) * (0C0) / (11C2) = 0.218 or 21.8%.

For the first question, the probability of getting red twice and blue once can be calculated using the formula: P = (n!/(x!y!z!)) * (p1^x) * (p2^y) * (p3^z), where n is the total number of throws, x is the number of reds, y is the number of blues, z is the number of other colors, p1 is the probability of getting red, p2 is the probability of getting a blue, and p3 is the probability of getting the other color.

Using this formula, we can calculate that the probability of getting red twice and blue once is: P = (3!/(2!1!0!)) * (4/6)^2 * (2/6)^1 = 0.267 or 26.7%.

For the second question, the probability of getting blue then red can be calculated by multiplying the probabilities of each individual throw. The probability of getting blue on the first throw is 4/6, and the probability of getting red on the second throw is 2/6. Therefore, the probability of getting blue then red is: P = (4/6) * (2/6) = 0.222 or 22.2%.

For the third question, the probability of getting red both times can be calculated by multiplying the probabilities of each individual throw. The probability of getting red on the first throw is 2/6, and the probability of getting red on the second throw is also 2/6. Therefore, the probability of getting red both times is: P = (2/6) * (2/6) = 0.111 or 11.1%.

For the fourth question, the probability of Nick getting 2 purple marbles can be calculated using the formula: P = (n1Cx) * (n2Cy) / (nCx), where n1 is the number of purple marbles in the first bag, n2 is the number of purple marbles in the second bag, x is the number of purple marbles Nick chooses from the first bag, y is the number of purple marbles Nick chooses from the second bag, and n is the total number of marbles Nick chooses.

Using this formula, we can calculate that the probability of Nick getting 2 purple marbles is: P = (6C2) * (0C0) / (11C2) = 0.218 or 21.8%.

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3(x-5)+4x=2x+8

3x-15+4x=2x+8

7x-15=2x+8

   +15      +15

7x=2x+23

-2x -2x

5x=23

/5   /5

x=4.6

---

sorry if I didn't help

Answer:

4.6 = X

Step-by-step explanation:

3(x-5)+4x=2x+8

3x-15+4x=2x+8

*3x+4x=7x*

-15+7x=2x+8

+15             +15

7x=2x+23

-2x   -2x

5x=23

/5    /5

x=4.6

Answer:

8

Step-by-step explanation:

4^3/2^3

(4^3)/(2^3)

64/8 = 8

Answer:

32,768

Step-by-step explanation:

4^3 = 64

64÷2 = 31

32^3 = 32768

hopefully I didnt get it wrong

Answer:

related to their eyes. How would you assign random numbers to conduct a simulation based on this