suppose a family has two children and one of the children is a boy. assume that it is equally likely to have boys or girls. what is the probability that both children are boys

Answer: x=18in

Step-by-step explanation:

Below, you will learn how to solve the problem.

(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).

The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)

m = 12/4

m = 3

Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6

b = -1

So the linear relationship between x = year and y = profit is:

y = 3x - 1

(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1

y = 8

So the company's profit at the end of 3 years is $8 million.

(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:

y = 3(8) - 1 = 23

So the company's profit at the end of 8 years is predicted to be $23 million.

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Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

Distance from the base of tower to the airplane = 706ft.

The term "angle of depression" called   angle created when an observer looks down at an item and the horizontal line intersects with the line of sight. It determines how our field of vision shifts as we glance down. Say you are standing in your kitchen and gazing straight, and suddenly you spy an insect crawling on the floor.

Given, Angle of Depression=12°

Height of tower=150ft

For AB parallel to CD

∠ACD=∠cAB=12°

Tan12°=BC/AB

AB=BC/Tan12°

AB=706ft

Hence, Distance from the base of tower to the airplane = 706ft.

Diagram is attached below;

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Answer:

-10

Step-by-step explanation:

-(x-5) ^2+25

-x+5^2+25

-5 -5

-x^2+20

-2x+20

---- ----

-2 -2

x=-10

// have a great day //

Combining negatively correlated assets with the same expected return results in a portfolio with the same level of expected return but a lower level of risk.

When assets have a negative correlation, their returns tend to move in opposite directions. By combining these assets in a portfolio, their negative correlation offsets each other's risks to some extent. As a result, the overall risk of the portfolio is reduced.

However, the expected return of the portfolio remains the same as the individual assets, assuming they have the same expected return. This is because the negative correlation does not affect the average return of the assets, only their volatility. The diversification benefits provided by negatively correlated assets help to reduce the overall risk of the portfolio, making it less volatile than the individual assets.

Therefore, combining negatively correlated assets with the same expected return results in a portfolio with the same level of expected return but a lower level of risk. This is a desirable outcome for investors as it allows them to achieve a certain level of return while minimizing the overall risk in their investment portfolio.

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Total bit strings of length are 512.

What is bit ?

In each computing and digital communications, the bit is that the most elementary unit of information. The word could be a combination of 2 binary digits. A logical state with one amongst 2 potential values is portrayed by the bit.

Main body:

1 bit: 2 strings: 0, 1

2bit: 4 strings: 00, 01, 10, 11

3bit: 8 strings: 000, 001, 010, 011, 100, 101, 110, 111

4bit: 16 strings: 0000,0001,0010, 0011, 0100, 0101, 0110, 0111, 1000, 1001. 1010, 1011, 1100, 1101, 1110, 1111

5bit: 32 strings

6bit: 64 strings

7bit: 128 strings

8bit: 256 strings

9 bits: 512 strings

OR this can be done by

Each bit has 2 possible values, so a string of length 9 has 2⁹ = 512 possible values.

Hence total bit sting are 512.

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The equation that relates the graph is a) y= - 1/2(x-3)²+2

Here Let put x=7

y= -1/2(x-3)²+2

= -1/2(7-3)²+2

= -1/2(4)²+2

= -1/2(16)+2

= - 8+2

= - 4

Hence (7,-4) is marked.

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Answer: Yes,these triangles are similar because they are both obtuse, scalene, and they both have three sides

Answer:

155 feet

Step-by-step explanation:

2/5 = 0.4

8 / 0.4 = 20

20 x 7.75 = 155

Answer:

Step-by-step explanation:

The approximate the radius of the ball 2.15 cm.

What is the volume of the rectangular prism?

To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.

The volume of the rectangular prism is 2 cm x 3 cm x 8 cm = 48 cubic cm.

A sphere with volume V has a radius r given by the formula:

V = (4/3) * pi * r³

We can rearrange the formula to solve for r:

r = (V * 3 / 4 * pi)^(1/3)

Substituting the volume of the rectangular prism for V:

r = (48 * 3 / 4 * pi)⁻³

The value of r = (48 * 3 / 4 * pi)^(1/3) is approximately equal to 2.15.

hence, The approximate the radius of the ball 2.15 cm.

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The probability that at most 13 of the residers in the sample entered a jury process in the once 12 months is 0.000158.

A normal distribution, also known as a Gaussian distribution or bell wind, is a probability distribution that's symmetric and bell- shaped. It's characterized by its mean( μ) and standard divagation( σ).

Given

Sample size( n) = 500

Probability of an individual entering a jury process( p) = 15 = 0.15

We want to calculate the probability that at most 13 of the residers in the sample entered a jury process.

Let X be the arbitrary variable representing the number of residers who entered a jury process in the sample.

Using the binomial accretive distribution function( CDF), we can calculate the probability as follows

P( X ≤ 13 of n) = Σ( k = 0 to k = 0.13 n)( n C k)

Here, n = 500

p = 0.15

k = int(0.13 n)

So, binom.cdf( int(0.13 500), 500,0.15) ≈0.000158

Thus, The likelihood that 13% of the sample's residents received a jury summons in the previous year is 0.000158.

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The question attached here is seems to be incomplete, the complete question is

What proportion of US Residents receive a jury summons each year? A polling organization plans to survey a random sample of 500 US Residents to find out. Let be the proportion of residents in the sample who received a jury summons in the previous 12 months. According to the National Center for State Courts, 15 \% of US residents receive a jury summons each year. Suppose that this claim is true.

5. Calculate the probability that at most 13% of the residents in the sample received a jury summons in the past 12 months.

The researcher would need 60 different lawn plots in order to test each fertilizer type, temperature range, and water treatment configuration.

To determine the number of different lawn plots needed to test each fertilizer type, temperature range, and water treatment configuration, we need to multiply the number of options for each factor.

Let's assume there are 4 fertilizer types, 5 temperature ranges, and 3 water treatment configurations.

To calculate the total number of different lawn plots, we multiply the number of options for each factor:

Number of different lawn plots = Number of fertilizer types * Number of temperature ranges * Number of water treatment configurations

Number of different lawn plots = 4 fertilizer types * 5 temperature ranges * 3 water treatment configurations

Number of different lawn plots = 4 * 5 * 3

Number of different lawn plots = 60

Therefore, the researcher would need 60 different lawn plots in order to test each fertilizer type, temperature range, and water treatment configuration.

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Answer:

Step-by-step explanation:

tanx + cotx = secx / sinx

take left hand side

=tanx + cotx

=sinx/cosx + cosx/sinx

=sinx*sinx+cosx*cosx/sinx*cosx

=sin^2x + cos^2x/sinx*cosx

=1/sinx*cosx

=1/cosx * 1/sinx

=secx/sinx

at second last step i changed multiplication sign into divide sign and write the reciprocal of 1/sinx which is sinx.

Answer:

Step-by-step explanation:

? whats the question

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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Answer:

1/3 degreees/min

Step-by-step explanation:

In 15 min, temp. rises by 10 degrees

This means that 10 degrees / 15 min = 2 deg / 3 min

1/3 degree/min

The unit rate of change in °F per minute is 0.667°F/ min .

An equation is a statement formed when variables are equated by a constant or another variable by an equal sign.

It is given that

The rate of increase of temperature with increasing time is given

The unit rate of change in °F per minute has to be determined .

In 15 minutes , the temperature changes by  10°F

The rate of unit change is 10 / 15 = 0.667

20/30 = 0.667

40/60 = 0.667

Therefore the unit rate of change in °F per minute is 0.667°F/ min .

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Answer:

14

Step-by-step explanation:

This question can be expressed as the following linear equation:

2x+8=36, where x is our unknown number.

From here,

2x+8=36

2x=28 (-8 both sides)

x=14 (/2 both sides)

Therefore the number is 14

Answer:

x=4

From the principles of isosceles triangles, two opposite sides are equal.

So,

4x+23=10x-1

solving the linear equation, we'd have x to be 4.

Answer:

x=4

Step-by-step explanation:

it is isosoles triangle so the value of x solve as follow

4x+23=10x-1

23+1=10x-4x

24=6x

x=4

Answer:

lol im guessing b?

Step-by-step explanation:

tell me if i got it wrong if so ill try to fix my answer

Answer:

3

Step-by-step explanation:

if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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Answer: it would be D.

Step-by-step explanation: you'd multiply the 3 by the 3x then multiply the 3 with the 8.

Answer:

$27,014.85

Step-by-step explanation:

We're gonna use the compound interest formula: P = A(1 + r/n)^nt

P = final amount

A = starting amount (10,000)

r = rate (0.05)

n = times applied (4 since it's quarterly)

t = years (20)

P = 10,000(1 + 0.05/4)^4*20

P = 10,000(1.0125)^80

P = 27,014.84940753337

Round it to just 27,014.85

Answer:

51

because you have 32 but got 30 before so 32 - 30 = 2

you gave ur friend 5 so + 5 and spent 44 so + 44

44 + 5 + 2 = 51

51 - 44 - 5 + 30 = 32

Answer:

51

Step-by-step explanation:

Answer:

c)3pi/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Substitute y in the first equation:

Incorrect, therefore no solution

Writing both equation as lines:

As we see both lines have a same slope. It means they are parallel and no intersection.