Put these numbers in order from greatest to least 21, -21/40, -3/8, 21 3/40, 21 3/8

The probability of them having a color-blind child is 50%.

Color blindness is a sex-linked genetic disorder that is passed down from parents to their children. The gene for color blindness is located on the X chromosome, which means that males are more likely to be affected than females, as they only have one X chromosome.

If a normal-sighted woman whose father was color-blind marries a color-blind man, we can assume that the woman is a carrier of the color-blindness gene on one of her X chromosomes, but does not express the trait herself. The man, being color-blind, has the color-blindness gene on his only X chromosome.

In this scenario, the probability of them having a color-blind son is 50%, as the son will inherit the color-blindness gene from his mother and the affected X chromosome from his father. The probability of them having a color-blind daughter is also 50%, as the daughter will inherit the color-blindness gene from her mother and the affected X chromosome from her father. However, the daughter will be a carrier like her mother and will not express the trait.

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Answer:

" Expected Payoff " ⇒ $ 0.830

Step-by-step explanation:

Consider the probability of entering 1 ticket out of the 1000 entered;

\(Total Tickets Entered - 1000 Tickets,\\Prize Won - 830 Dollars,\\Number of Tickets One Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 1000,\\Proportionality - 1 / 1000 = x / 830, If x = " Expected Payoff ",\\\\1 / 1000 = x / 830 - Cross Multiplication ,\\1000 * x = 830,\\x = 830 / 1000 = 0.830\\\\Conclusion ; x = 0.83\)

Solution ; " Expected Payoff " ⇒ $ 0.830 ( might or might not include 0 at end )

The circumference of the circular playing field.

\(\huge\boxed{Formula:C= 2\pi{r}}\)

We'll have to multiply 2, π and radius.

Substitute the values according to the formula.

\(C= 2× \pi ×7.5\)

\(C= 47.12389 \)

\(\large\boxed{C= 47.12 \: m}\)

Therefore, the circumference of the circular playing field is 47.12 feets.

Answer:

y=4/3x+2

Step-by-step explanation:

The equation is in standard form right now, which is ax+by=c

your question is asking for slope intercept form, which is y=mx+b

so we need to isolate y onto 1 side

-4x+3y=6

add 4x to both sides

3y=4x+6

divide by 3 on both sides

y=4/3x+2

Answer:

I hope this helps

Step-by-step explanation:

The average speed of the airplane which travels the given distance and time is 400mph.

Speed is simply defined as distance traveled per unit of time. It is the change of position of a moving object per unit of time.

It is expressed as;

s = distance / time = d / t

Given the data in the question;

To determine the average speed of the airplane, we substitute our given values into the expression above.

s = d / t

s = 1000mi / 2.5hrs

s = 400mph

Therefore, the average speed of the airplane which travels the given distance and time is 400mph.

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Answer:-22/3

Step-by-step explanation:

its negative because it represents an irrational number

Answer: -22/3

Why: It's irrational since it's negative

Answer: x=2

Step-by-step explanation:Step 1: Simplify both sides of the equation.

3−(3x−4)=2x+3(3x−7)

3+−1(3x−4)=2x+3(3x−7)(Distribute the Negative Sign)

3+−1(3x)+(−1)(−4)=2x+3(3x−7)

3+−3x+4=2x+3(3x−7)

3+−3x+4=2x+(3)(3x)+(3)(−7)(Distribute)

3+−3x+4=2x+9x+−21

(−3x)+(3+4)=(2x+9x)+(−21)(Combine Like Terms)

−3x+7=11x+−21

−3x+7=11x−21

Step 2: Subtract 11x from both sides.

−3x+7−11x=11x−21−11x

−14x+7=−21

Step 3: Subtract 7 from both sides.

−14x+7−7=−21−7

−14x=−28

Step 4: Divide both sides by -14.

−14x

−14

=

−28

−14

x=2

Given data:A mortgage of $600,000 is to be amortized by end-of-month payments over a 25-year period.The interest rate on the mortgage is 5% compounded semi-annually.Calculate the principal portion of the 31st payment.As we know that the amount of payment that goes towards the repayment of the principal is known as Principal payment.So, the formula to calculate Principal payment is:Principal payment = Monthly Payment - Interest paymentFirst, we have to calculate the monthly payment.To calculate the monthly payment, we use the below formula:Where:r = rate of interest/12 = (5/100)/12 = 0.0041666666666667n = number of payments = 25 x 12 = 300P = Principal = $600,000Putting all these values in the formula, we get;`Monthly Payment = P × r × (1 + r)n/((1 + r)n - 1)`=`600000 × 0.0041666666666667 × (1 + 0.0041666666666667)300/((1 + 0.0041666666666667)300 - 1)`=`$3,316.01`Therefore, the Monthly Payment is $3,316.01.Now we will calculate the Interest Payment.To calculate the Interest Payment, we use the below formula:I = P × rI = Interest paymentP = Principal = $600,000r = rate of interest/12 = (5/100)/12 = 0.0041666666666667Putting the values in the formula, we get;I = $600,000 × 0.0041666666666667I = $2,500Therefore, the Interest Payment is $2,500.Now, we can calculate the Principal Payment.Principal payment = Monthly Payment - Interest payment=`$3,316.01 - $2,500 = $816.01`Therefore, the Principal Portion of the 31st payment is $816.01. Calculate the interest portion of the 14th payment.To calculate the interest portion of the 14th payment, we have to follow the below steps:The interest rate is compounded semi-annually.So, the rate of interest will be half the annual interest rate and the period will be doubled (in months) for each payment as the payments are to be made at the end of each month.So, the rate of interest for each payment will be:5% per annum compounded semi-annually will be 2.5% per half-year. So, the rate of interest per payment would be;Rate of interest (r) = 2.5%/2 = 1.25% p.m.Now, we will calculate the Interest Payment.To calculate the Interest Payment, we use the below formula:I = P × rI = Interest paymentP = Principal = $600,000r = rate of interest/12 = 1.25%/100 = 0.0125Putting the values in the formula, we get;I = $600,000 × 0.0125 × (1 + 0.0125)^(2 × 14) / [(1 + 0.0125)^(2 × 14) - 1]I = $3,089.25Therefore, the interest portion of the 14th payment is $3,089.25.Calculate the total interest in payments 72 to 85 inclusive.To calculate the total interest in payments 72 to 85 inclusive, we have to follow the below steps:The interest rate is compounded semi-annually.So, the rate of interest will be half the annual interest rate and the period will be doubled (in months) for each payment as the payments are to be made at the end of each month.So, the rate of interest for each payment will be:5% per annum compounded semi-annually will be 2.5% per half-year. So, the rate of interest per payment would be;Rate of interest (r) = 2.5%/2 = 1.25% p.m.Now, we will calculate the Interest Payment.To calculate the Interest Payment, we use the below formula:I = P × rI = Interest paymentP = Principal = $600,000r = rate of interest/12 = 1.25%/100 = 0.0125So, for 72nd payment, the interest will be:I = $600,000 × 0.0125 × (1 + 0.0125)^(2 × 72) / [(1 + 0.0125)^(2 × 72) - 1]I = $3,387.55So, for 73rd payment, the interest will be:I = $600,000 × 0.0125 × (1 + 0.0125)^(2 × 73) / [(1 + 0.0125)^(2 × 73) - 1]I = $3,372.78And so on...So, for the 85th payment, the interest will be:I = $600,000 × 0.0125 × (1 + 0.0125)^(2 × 85) / [(1 + 0.0125)^(2 × 85) - 1]I = $3,220.03Total interest = I₇₂ + I₇₃ + ... + I₈₅= $3,387.55 + $3,372.78 + .... + $3,220.03= $283,167.95Therefore, the total interest in payments 72 to 85 inclusive is $283,167.95.How much will the principal be reduced by payments in the third year?Total number of payments = 25 × 12 = 300 paymentsNumber of payments in the third year = 12 × 3 = 36 paymentsWe know that for a loan with equal payments, the principal payment increases and interest payment decreases with each payment. So, the interest and principal payment will not be same for all payments.So, we will calculate the remaining principal balance for the last payment in the 3rd year using the amortization formula. We will assume the payments to be made at the end of the month.The amortization formula is:Remaining Balance = P × [(1 + r)n - (1 + r)p] / [(1 + r)n - 1]Where:P = Principal = $600,000r = rate of interest per payment = 1.25%/2 = 0.00625n = Total number of payments = 300p = Number of payments made = 36Putting the values in the formula, we get;`Remaining Balance = 600000 * [(1 + 0.00625)^300 - (1 + 0.00625)^36] / [(1 + 0.00625)^300 - 1]`=`$547,121.09`Therefore, the principal will be reduced by payments in the third year is;$600,000 - $547,121.09= $52,878.91Hence, Blank #1 will be `A`, Blank #2 will be `4`, Blank #3 will be `A` and Blank #4 will be `M`.

The given equation f(x) = (s + 1) / (s² + s + 1) does not have any real-valued poles or zeros. Therefore, there is nothing to plot using Octave or any other graphing tool.

To find the poles and zero of the given equation f(x) = (s + 1) / (s² + s + 1), we can set the denominator equal to zero and solve for the values of s that make the denominator equal to zero.

2.1. Finding the poles and zero analytically:

The denominator of the equation is s² + s + 1. To find the poles, we solve for s:

s² + s + 1 = 0

Using the quadratic formula, we have:

s = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = 1, and c = 1. Substituting these values into the quadratic formula, we get:

s = (-1 ± √(1 - 4(1)(1))) / (2(1))

= (-1 ± √(-3)) / 2

Since the discriminant (-3) is negative, the equation does not have any real solutions. Therefore, we can state that there exisits no real-valued poles or zeros for this equation.

2.2. Plotting the poles and zeros using Octave, we get:

Since there are no real-valued poles or zeros, there is nothing to plot in this case.

Please note that the given equation does not have any real-valued poles or zeros.

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Answer:

2 + 4(n-1).

Step-by-step explanation:

As x increases from 1,  f(x) increases  by 4.

Arithmetic sequence.

So the formula is  a1 + d(n - 1)

= 2 + 4(n-1).

The function which defines the series will be 2 + 4(n-1).

A series of numbers is called a number series. We must identify the laws that lead to the production of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.

Given functions are f(1) = 2, f(2) = 6, f(3) = 10,f(4) = 14 f(5) = 18. The sequence will be represented by the function:-

As x increases from 1,  f(x) increases by 4. Arithmetic sequence.

F = a₁+ d(n - 1)

F = 2 + 4(n-1).

Therefore, the function which defines the series will be 2 + 4(n-1).

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Answer: -2115

Step-by-step explanation:

We can use the distributive property to simplify the calculation of -45 × 47 as follows:

\(\huge \boxed{\begin{minipage}{4 cm}\begin{align*}-45 \times 47 &= -45 \times (40 + 7) \\&= (-45 \times 40) + (-45 \times 7) \\&= -1800 - 315 \\&= -2115\end{align*}\end{minipage}}\)

Refer to the attachment below for explanation

Therefore, -45 × 47 = -2115 when using the distributive property.

________________________________________________________

To solve this problem using the distributive property, we can break down -45 into -40 and -5. Then we can distribute each of these terms to 47 and add the products:

\(\begin{aligned}-45 \times 47 &= (-40 - 5) \times 47 \\ &= (-40 \times 47) + (-5 \times 47) \\ &= -1{,}880 - 235 \\ &= \boxed{-2{,}115}\end{aligned}\)

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

1  1/14

Step-by-step explanation:

11/14 + 2/7

2/7= 4/14

11/14 + 4/14 =15/14 = 1  1/14

Answer:

105/98

14x7=98

14x2=28

7x11=77

28+77=105

=105/98

The perimeter of the new TV will be 179.77 inches.

From the information, the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches and the new TV is 66 inches across the diagonal.

It should be noted that the perimeter simply means the total length of the boundary of the object. This will be calculated thus:

= (66 × 87.16) / 32

= 5752.56 / 32

= 179.77 inches.

In conclusion, the perimeter is 179.77 inches.

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We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Total= 35X+55Y

Step-by-step explanation:

Step one:

given data

let the total time for the week be written as

M=W=S= X 35 min

T=TH= Y=55min

Total= M+W+S+T+TH

Therefore the expression can be written as

Total= 35X+55Y

The stream velocity has no influence on the amount of dissolved load it contains. The amount of dissolved material depends on erosion and deposition carried out in the watercourse. These are affected by factors such as the slope of the land, the resistance of the material to erosion, the size of the sediments transported, etc.

Stream velocity plays an important role in the transport of sediments and dissolved loads in a watercourse. It affects the erosion and deposition processes that occur in the watercourse, which in turn affect the amount of sediment and dissolved load that is carried by the stream. For example, faster stream velocities can cause more erosion of the stream bed, leading to more material being carried in the water.

Sediment is any particulate matter that is transported by a fluid, and it can come in many different forms. The three main types of sediment are:

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Answer:

624,600

Step-by-step explanation:

624,612

612 rounds to 600

624,600

Answer:

624,600

Step by step explanatiom:

cause math

Membership in a professional network, the overarching structure within which personnel receive coaching and guidance as well as the opportunity to attend foundational and skill-building seminars, is the option that most accurately reflects the writer's description of the figure. The correct option is C.

Given a passage which is shown in attached images.

Option C is the best answer. Since “expert networks” is the biggest circle withinside the illustration, it's miles consequently the overarching framework “inside which personnel get hold of training and session in addition to the possibility to wait basis and skill-constructing workshops.”

Options apart from C are A, B, and D are wrong due to the fact as proven withinside the illustration, “training and session” and “basis and skillbuilding workshops” occupy smaller circles withinside the expert improvement framework, and as a result can not be the overarching framework.

Hence, the choice which makes the writer’s description of the figure most accurate from the given passage is membership in a professional network is the overarching framework within which staff receive coaching and guidance as well as the opportunity to attend foundational and skill-building seminars.

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Answer:

cdcdc

Step-by-step explanation:

Answer:

Let's assume m represents the mileage of the car.

Given that, Primo car rental agency charges $33 per day plus $0.20 per mile.

So, the total charge for this agency = 33 + 0.20m.

Similarly total charge of the ultimo car = 17 + 0.85m.

Now we need to find the daily mileage for which the ultimo charge is four times the primo charge. So, we can set up an equation as follows:

17 + 0.85m = 4 *( 33 + 0.20m )

17 + 0.85m = 132 + 0.80m By distribution property.

17 + 0.85m -0.80m = 132 + 0.80m -0.80m Subtract 0.80m from each sides.

17 + 0.05m = 132

17 + 0.05m - 17 = 132 - 17 Subtract 17 from each sides.

0.05m = 115

Divide each by 0.05.

So, m = 2300

Hence, the daily mileage is 2300 miles.

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Using probability concepts, we calculated that the likelihood that the person plays the clarinet but not the flute is 0.2743.

The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is calculated by dividing the likelihood of the previous event by the likelihood of the subsequent, or contingent, event.

Here,

Finding people who can play the clarinet but not the flute is necessary. There are 172 people who can play the clarinet.

There are 47 people who can play both the clarinet and the flute.

As a result, 172-47=125 represents the number of people who can only play the clarinet and not the flute.

Probability(P),

P=( 125 / 350)

P=0.2743.

Therefore, the probability that a single person chosen at random can play clarinet but not flute is 0.2743.

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Answer: 1 inch:1 feet

Step-by-step explanation:

Since we are informed that the scale drawing of an American flag is 5 inches long and 3 inches tall and the actual flag is 3 feet tall.

To calculate the scale of the drawing, we should note that the height of the drawing is 3 inches tall while the height of the actual flag is 3 feet tall. It simply means that (3/3 = 1 inch represents 1 feet

Answer:

x = 6

Step-by-step explanation:

Side NL is congruent to ML. Thus, making x = 6.

Answer:

Theoretical probability is a probability that is expected, for example when I flip a coin 100 times I expect tails to come up 50 times and heads to come up 50 times. The theoretical probability is 0.5 for a head.

Step-by-step explanation:

Using relations in a right triangle, the area of the triangle is given by:

B. 9tan(65º)/2.

The relations in a right triangle are given as follows:

In this problem, we have one leg(length 3) and the angle with the hypotenuse(65º), hence the other leg can be found as follows:

\(\tan{65^\circ} = \frac{x}{3}\)

x = 3tan(65º).

The area of a right triangle is half the multiplication of it's legs, hence in this problem:

A = 1/2 x 3 x 3tan(65º) = 9tan(65º)/2.

Which means that option B is correct.

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Answer:

x = 34

Step-by-step explanation:

(x - 9(16/8)) = 16

(x - 9(2)) = 16                        Divide 16 and 8

x - 18 = 16                             Multiply 9 and 2

x = 34                                   Add 18 to both sides

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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Answer:

$55.42

Step-by-step explanation:

Price of supplies = 100%

Percentage of tax = 8.25%

Total percentage = 108.25%

Amount allowed to spend = $60

108.25% = 60

60 / 108.25 = .55427

0.55427x100 = 55.427

Round down

$55.42

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