A couple plans to have 4 children. Assuming that boys and girls are equally likely, find the probability that the couple will have at least one boy?

Answer:

A

Step-by-step explanation:

Since this is a rectilinear angle, we can find x:

x = 180° - 98° = 82°

The probability that their average age is between 90 & 100 months is 0.245.

We must determine z for each number to determine the likelihood that the group's mean age is between 90 & 100 months.

Z = (x – mean) ÷ standard deviation

Let x is the average age of a vehicle

Z1 = (90 – 96) ÷ 16 = -0.375

Z2 = (100 – 96) ÷ 16 =  0.25

The area under the curve is then determined using the z table.

Z1 area equals 0.354

Z2 area of 0.599

To calculate the likelihood that the group's mean lifespan is between 90 & 100 months, apply the following formula:

0.599 – 0.354 = 0.245

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Answer:

The answer is B.

Step-by-step explanation:

4x-7 = 2x+9

2x = 16

x = 8

And then we put x into the equations.

y = 32 - 7

y = 25

We then check it with the other equation just to make sure we are correct.

y = 16 +9

y = 25

Therefore, the answer is (8,25).

Answer:

40

Step-by-step explanation:

0.25x40=10 dollars

Answer:

374 feet^2

Step-by-step explanation:

Surface area:

area of cross section x 2 = 110feet^2

area of tope x 2 = 264 feet^2

sum / Surface area: 374 feet^2

The probability that a randomly selected man is shorter than 65 inches can be determined using the concepts of normal distribution and z-scores.

Step 1: Determine the average height and standard deviation :

Assuming the average height (μ) for men is 69 inches and the standard deviation (σ) is 3 inches. These values are commonly used in such problems and can vary based on the specific population being considered.

Step 2: Calculate the z-score :

We want to find the probability of a man being shorter than 65 inches. The formula for the z-score is: Z = (X - μ) / σ Here, X is the target height (65 inches), μ is the average height (69 inches), and σ is the standard deviation (3 inches).

Substituting values to calculate the z-score: Z = (65 - 69) / 3 Z = -4 / 3 Z ≈ -1.33

Step 3: Determine the probability :

Using a z-score table or a calculator with a normal distribution function, we can find the probability that corresponds to the calculated z-score of -1.33. The table will show a value of 0.092 (approximately) for the z-score of -1.33.

Thus, the probability that a randomly selected man is shorter than 65 inches is approximately 9.2%.

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Answer:

For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range

Step-by-step explanation:

The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.

The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2.

The vertex is (–1, 2), the domain is all real numbers, and the range is y ≥ 2.

Answer:

see explanation

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x - 1)² + 2 ← is in vertex form

with vertex = (1, 2 )

The domain of a parabola exists for all real values of x

domain : x ∈ R

the range of the parabola are the values of y from the y- coordinate of the vertex, upwards.

range : y ≥ 2

He will need 12 sq. inches of Paper for each rhombus.

Given: 6 inches tall and 4 inches wide.

so, Length of the diagonals are 6 and 4 inches respectively.

Refer to figure.

The two diagonals cuts the rhombus into four equal parts, so

Area of one rhombus = 4 x (area of 1 part of the rhombus)

Now,

Area of 1 part of the rhombus = \(\frac{1}{2}\) x 3 x 2

                                                  = 3 sq. inches

Area of one rhombus = 4 x 3 = 12 sq. inches

Hence, 12 sq. inches of Paper is needed for each rhombus.

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The paper required for each rhombus needs to have an area of 12 sq. inches.

Due to the fact that it is a quadrilateral with two pairs of parallel sides, a rhombus can be considered a particular parallelogram. A rhombus also has equal sides on all four sides, exactly like a square. Because of this, it is often referred to as a tilted square.

Rhombus diagonals d1 and d2 are used to calculate the area of a rhombus, A = 1/2 × d1 × d2.

In the question, we are given that Juan is making a model out of rhombi, where each rhombus will be connected to the one before it, and they are 6 inches tall and 4 inches wide.

We are asked for the paper required for each rhombus.

The diagonals of each of the given rhombus are, d1 = 6 inches, and d2 = 4 inches.

Thus, the area of each rhombus = 1/2 × d1 × d2 = 1/2 × 6 × 4 sq. inches = 12 sq. inches.

Thus, the paper required for each rhombus needs to have an area of 12 sq. inches.

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Answer:

7.75

Step-by-step explanation:

By Geometric mean property:

\( GH = \sqrt {a \times b} \)

\( GH = \sqrt {3 \times 20} \)

\( GH = \sqrt {60} \)

\( GH = 7.74596669\)

\( GH \approx 7.75\)

Answer:

4x67€hus de tus nos cos

Answer:

36

Step-by-step explanation:

Substitute b=5 to the expression:

=6(2(5)−4)

Evaluate inside the parentheses. Multiply 2 and 5 first:

=6(10−4)

Then subtract:

=6(6)

Finally, multiply:

=36

Answer: The value of 6(2b-4) when b=5 is 36.

Step-by-step explanation:  Given expression: 6(2b-4). To find the value of 6(2b-4) at b= 5, we need to substitute the b=5 in the expression, we get….Therefore, the value of 6(2b-4) is 36, when b=5.

The function that represents a shrink of the exponential growth function is 1/2 (3)x.

An exponential growth function is a type of mathematical function where the output (y) increases exponentially as the input (x) increases.

It is expressed in form f(x) = abˣ, where "a" is the initial value, "b" is the growth factor, and "x" is the time or input variable.

The value of b determines whether the function represents exponential growth or decay. If b > 1, then the function represents exponential growth, and if 0 < b < 1, then the function represents exponential decay.

Here we have

The function is shown in the graph  

As we know when base 'b' is greater than 1 then the function represents exponential growth

Hence,

The function that represents the exponential growth function f(x) = 2(3)x is f(x) = 1/2 (3)x. since 3 is greater than 3

Therefore,

The function that represents a shrink of the exponential growth function is 1/2 (3)x.

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The length of each side of the octagon is 6 cm

It is a polygon with eight sides and eight angles. There are a total of 20 diagonals in it. All its interior angles sum up to 1080°.

Given that, a regular octagon has an area of 288 square centimeters and an apothem of 12 cm.

We need to find the side of the octagon,

We know that area of the octagon = 8/2 × side × apothem

Therefore,

288 = 8/2 × side × 12

side = 288 / 48

side = 6

Hence, the length of each side of the octagon is 6 cm

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Answer:

the answer is 19

Step-by-step explanation:

count with your figures 10 fingers add 9 and 19. :))))

The frequency of mice that are heterozygote is 0.3492

It is required to find the frequency.

The number of waves that pass a fixed point in unit time being, measured in hertz(Hz).The number of cycles or vibrations undergone during one unit of time by a body in periodic motion.

Given:

Population =200 mice

Gray fur mice= 120 mice

By the use of Hardy-Weinberg equation we have,

Hardy-Weinberg equation is given by

p² + 2pq + q² = 1 and p + q = 1

where, 2pq is the heterozygote frequency.

p² = 120/200

p = 0.7746

p + q = 1

q = 0.2254

Heterozygote frequency = 2pq = 2(0.2254)(0.7746) = 0.3492

Therefore, the frequency of mice that are heterozygote is 0.3492.

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Answer: Since EFG and DEF are congruent, angle HED and angle HDG are corresponding angles. In a rhombus, opposite angles are congruent, so angle HDG is also 20 degrees.

Step-by-step explanation:

Answer:

D) 6x+2y

Step-by-step explanation:

If you are confused, please comment!

Answer: Its 6x + 2y !!

Step-by-step explanation: Your welcome :)

Answer:

Anna's final payment will be $2,574.21, which is the remaining balance on the loan.

Step-by-step explanation:

To calculate the amount of interest Anna will save by paying off the loan early, we need to first calculate the total amount of interest she would have paid if she had made all the scheduled payments. To do this, we can multiply the loan amount by the interest rate and the number of months the loan was taken out for:

$4,000 * 8% * 24 months = $768

Since Anna paid off the loan early, she will not pay all of this interest. The amount of interest she will save is the difference between the total interest and the amount of interest she has already paid. To calculate the amount of interest Anna has already paid, we can multiply the number of payments she has made by the interest portion of her payment:

9 payments * ($180.91 - $180.91 * 0.08) = $935.82

The amount of interest Anna will save is the difference between the total interest and the amount of interest she has already paid:

$768 - $935.82 = -$167.82

Anna will save a negative amount of $167.82 in interest because she has already paid more in interest than she would have if she had made all the scheduled payments.

Answer:

Step-by-step explanation:

We must use system of equations:

horses = h     chickens = c

horses have 4 legs & chickens have 2 and there are 120 legs total so to set up the first part of the equation...

4h + 2c = 120

They both have only 1 head each and there are 48 heads total so to set up the second part of the equation...

h + c = 48

Now we combine the equations and solve:

4h + 2c = 120

h + c = 48

Now we solve...

4h + 2c = 120

h = 48 - c         (subtract c on both sides to single out h)

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

4(48 - c) + 2c = 120

192 - 4c + 2c = 120

-192                  -192

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

-2c = -72           (divide both sides by -2)

c = 36

Now we go back and find the value of h...

h = 48 - c

h = 48 - 36

h = 12

So there are 36 chickens & 12 horses!

Answer:

slope = 1  

Step-by-step explanation:

Use the slope formula  \(m = \frac{y_2-y_1}{x_2-x_1}\) to find the slope. Substitute the x and y values of (7,3) and (5,1) into the formula and solve like so:

\(m = \frac{(1)-(3)}{(5)-(7)} \\m = \frac{1-3}{5-7} \\m = \frac{-2}{-2} \\m = 1\)

So, the slope of the line is 1.

Answer:

70

Step-by-step explanation:

the distributive property distributes the multiplier into both of the numbers inside

so you can look at it as (10 x 4) + (10 x 3)

10 x 4 is 40

10 x 3 is 30

when you add them together you get 70

Answer: 70

When using distributive property you will need to multiply the numbers inside the parentheses by the number outside the parentheses.

Step-by-step explanation:

10(4+3)

10x4=40

10x3=30

(40+30)=70

18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.

19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.

If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.

The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.

The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.

This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.

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Based on a control chart analysis, the process with 11.8 hits per minute would be considered out of control.

In order to determine whether the process is in control or out of control, we can use a control chart.

A control chart is a graphical representation of process data that shows the behavior of the process over time and allows us to determine whether the process is in control or out of control.

The first step in creating a control chart is to calculate the control limits. In a normal distribution, control limits are set at +/- 3 standard deviations from the mean.

For this process, the mean is 10.6 hits per minute and the standard deviation is 0.49 hits.

The control limits would be:

Upper control limit (UCL) = 10.6 + (3 * 0.49) = 11.57 hits

Lower control limit (LCL) = 10.6 - (3 * 0.49) = 9.63 hits

Next, we compare the data point of 11.8 hits to the control limits.

If the data point falls outside of the control limits, the process is considered out of control.

If the data point falls within the control limits, the process is considered in control.

In this case, the data point of 11.8 hits is outside of the control limits and is higher than the upper control limit of 11.57 hits.

This means the process is considered out of control.

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Answer:

a² + b² + c² - 2ab + 2bc - 2ac

Step-by-step explanation:

Answer:

\(b=\frac{c+2}{a}\:\)

Step-by-step explanation:

\(ab-c=2\\\\\add(c)\\\\ab=2+c\\\\divide(a)\\\)

\(\frac{c+2}{a}\:\)

Answer: There are actually 3 answers for this ahaha, but this is the EXACT ONE: 21/16 in DECIMAL FORM it's 1.3125 in MIXED NUMBER FORM it's 1 5/16

Step-by-step explanation:

Answer:

ima guess $262.50

Step-by-step explanation:

Answer:

because of traingle

we have to firstly scale. the factor and add the numbers

The probability of winning the Illinois Lottery, where 6 balls are randomly chosen from an urn containing numbers 1 to 52, can be calculated by determining the number of favorable outcomes (matching all six numbers) divided by the total number of possible outcomes.

To calculate the probability of winning the lottery, we need to determine the number of favorable outcomes (winning combinations) and the total number of possible outcomes.

The number of favorable outcomes is 1 since there is only one winning combination where all six numbers match those chosen from the urn.

Now let's calculate the total number of possible outcomes.

In the first set of 6 numbers chosen by the player, there are 52 balls to choose from, and the player selects 6 numbers without replacement. This can be calculated using the combination formula:

C(52, 6) = 52! / (6! * (52-6)!)

Similarly, for the second set of 6 numbers chosen by the player, there are also C(52, 6) possible outcomes.

However, since the player has chosen two sets of 6 numbers, we need to consider the total number of outcomes for both sets combined. This can be calculated by multiplying the number of outcomes for each set:

Total number of outcomes = C(52, 6) * C(52, 6)

Now, the probability of winning the lottery is given by:

Probability of winning = Number of favorable outcomes / Total number of possible outcomes

Plugging in the values we obtained, we have:

Probability of winning = 1 / (C(52, 6) * C(52, 6))

Calculating the combination values and simplifying the expression will give us the final probability of winning the lottery.

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To find the number of books Candi gave to her sister, we need to first figure out how many books she gave to the library. The expression to find the number of books Candi gave to her sister is 42 - 35.

Since Candi gave half of her books to the library, we can use the expression:

(1/2) x 42 = 21

This means that Candi gave 21 books to the library. We know that she kept 14 books for herself, so to find out how many books she gave to her sister, we need to subtract the number of books she gave to the library and the number of books she kept for herself from the total number of books she had initially:

42 - 21 - 14 = 7

Therefore, Candi gave 7 books to her sister.

To summarize, the expression that shows how to find the number of books Candi gave to her sister is:

42 - (1/2) x 42 - 14 = 7

This expression first calculates the number of books Candi gave to the library (which is half of the total number of books), then subtracts the number of books she kept for herself, and finally gives us the number of books she gave to her sister.

To find the number of books Candi gave to her sister, we can follow these steps:

1. Determine the number of books Candi gave to the library: As she gives half of her books, we can calculate this by dividing the total books (42) by 2. So, 42 ÷ 2 = 21 books.

2. Calculate the total books given away: Now, we need to add the books given to the library and those she kept for herself. So, 21 (library) + 14 (herself) = 35 books.

3. Find the number of books given to her sister: Finally, we will subtract the total books given away from the initial total of 42 books. The expression for this step is:

  Books given to sister = Total books - Books given away
  Books given to sister = 42 - 35

So, the expression to find the number of books Candi gave to her sister is 42 - 35.

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