A-attached earlobes a-unattached earlobes if a is the allele for having attached earlobes, what percentage of offspring will have attached earlobes? 25% 50% 75% 100%

Given:

Measure of arc LV = 56 degrees

Measure of arc JR = 146 degrees

Let's find the measure of angle 1.

To find the measure of angle 1, apply the angle arc relationship.

Let's first find the measure of arc JL and VR.

Measure of arc JL and VR = 360 - 56 - 146 = 158 degrees.

Hence, to solve for angle 1, we have:

Where:

arcJL + arcVR = 158 degrees.

Thus, we have:

Therefore, the measure of angle 1 is 79 degrees.

ANSWER:

79°

Answer:

216 cm^2

Step-by-step explanation:

A cube has 6 congruent, square faces.

Each face has side length of 6 cm.

The total surface area is the sum of the surface areas of the 6 faces, but since all faces are congruent, the total surface area is

SA = 6s^2

where s = side length

SA = 6 * (6 cm)^2

SA = 6 * 36 cm^2

SA = 216 cm^2

Answer:

64+26

Step-by-step explanation:

The equation for money collected m for h boxes of chocolate bars sold is m = 30h.

We are given that the band is selling every bar of chocolate for $1.50

Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.

Hence if we are going to calculate the amount of money collected on selling one box it will be

20 X $1.5

= $30

We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.

We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h

Now we know that

Money collected = price per box X no.of boxes sold

we have already calculated the price per box hence we get

m = 30h

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Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

1. Diamond - A four-sided figure with two equal, parallel sides, and two equal, opposite angles.

2. Rectangle - A four-sided figure with four right angles.

3. Hexagon - A six-sided figure with six equal sides and six equal angles.

1. To identify a diamond in the eye-dazzler design, look for a four-sided figure with two equal, parallel sides and two equal, opposite angles.

The diamond shape in the eye-dazzler design should be easy to spot as it is outlined in black or a darker color.

2. To identify a rectangle in the eye-dazzler design, look for a four-sided figure with four right angles.

The rectangle shape in the eye-dazzler design should be easy to spot as it is outlined in black or a darker color.

3. To identify a hexagon in the eye-dazzler design, look for a six-sided figure with six equal sides and six equal angles.

The hexagon shape in the eye-dazzler design should be easy to spot as it is outlined in black or a darker color.

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Answer:

3 2/3

Step-by-step explanation:

The expression for the perimeter of a square will be p = 4s.

The perimeter of a figure of shape can be gotten the total length of the boundary which the figure or the shape has. it's gotten by adding all the length that the shape has.

It should be noted that a square has four equals sides. The expressions for the perimeter of a square will be:

p = 4 × s.

p = 4s

where s = number of sides.

p = perimeter

For example if the side is 2cm. The perimeter will be calculated by multiplying 4 by the value of the sides. In this case, this will be calculated as:

= Value of sides × 4

= 2 × 4

= 8cm

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Using a trigonometric relation we will see that the measure of the angle is 40.6°

Here we can see a right triangle. We know the measure of the two legs and we want to find the measure of one of the interior angles.

To find this angle, we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Looking at the diagram we can see that:

opposite cathetus = 6

adjacent cathetus = 7

Replacing that we will get:

tan(a) = 6/7

Using the inverse tangent function we will get:

a = Atan(6/7) = 40.6°

That is the measure of the angle.

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Answer:

G(t) = -9t - 4

g( ) = 23

Step-by-step explanation:

G(t) which = -9t then u - 4 g( ) from 9t which also equals 23

I hope this helps!

Answer:

2/3

Step-by-step explanation:

7/12+1/12=8/12

8  / 4     2

12 / 4     3

Final answer 2/3

Part (e)

See the diagram below that mentions this part.

================================================

Part (f)

See the diagram that mentions this part. It's in a separate image.

The item can be anything really. I'm going to add a trampoline which is a square shown in purple. The square is rotated 45 degrees so it looks like a diamond shape. The rotation isn't necessary but I figured to spice things up compared to the other figures which were mostly squares or rectangles. If we split the purple square into 4 triangles, and apply the pythagorean theorem, then we can find the length of each side of the purple square to be roughly 2.828 cm.

Scaling things up, the trampoline in real life is 2*2.828 = 5.656 meters along each dimension.

With any square the angles are always 90 degrees.

the gamma distribution becomes approximately normal due to the Central Limit Theorem when n is large.X ︽.Norm(a/λ, a/λ²) since it is an approximately normal distribution with mean a/λ and variance a/λ².

(a) Gamma random variables are sums of random variables, and as n gets large, the Central Limit Theorem applies. When n is large, the gamma random variable with parameters (n, λ) approaches a normal distribution, as the sum of independent and identically distributed Exponential(λ) random variables is distributed roughly as a normal distribution with mean n/λ and variance n/λ². In other words, the gamma distribution becomes approximately normal due to the Central Limit Theorem when n is large.

(b) The problem asks to show that:lim (1 + x/n)-n = e⁻x.The expression (1 + x/n)⁻ⁿ can be written as [(1 + x/n)¹/n]ⁿ. Now letting n → ∞ in this equation and replacing x with aλ yields the desired result from part (a):lim (1 + x/n)ⁿ

= lim [(1 + aλ/n)¹/n]ⁿ

= e⁻aλ(d)

The central limit theorem with continuity correction can be expressed as:P(Z ≤ z) ≈ Φ(z + 0.5/n)if X ~ B(n,p), where Φ is the standard normal distribution and Z is the standard normal variable.

This continuity correction adjusts for the error made by approximating a discrete distribution with a continuous one.(e) The exact probability that the walk is within 500 steps from the origin can be calculated by using the normal distribution. Specifically, we have that:

P(|X - a/λ| < 500)

= P(-500 < X - a/λ < 500)

= P(-500 + a/λ < X < 500 + a/λ)

= Φ((500 + a/λ - μ)/(σ/√n)) - Φ((-500 + a/λ - μ)/(σ/√n)),

where X ~ N(μ, σ²), and in this case, μ = a/λ and σ² = a/λ².

Therefore, X ︽.Norm(a/λ, a/λ²) since it is an approximately normal distribution with mean a/λ and variance a/λ².

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Answer:

-2 is your answer hope this helps!

Answer:

-2

Step-by-step explanation:

Answer:

(-5, -3)

Step-by-step explanation:

x = -2 + (-3)

x = -5

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

y = -8 - (5)

y = -3

\(\\ \sf\Rrightarrow y-1=\dfrac{2}{3}(x+1)\)

\(\\ \sf\Rrightarrow -3-1=\dfrac{2}{3}(a+1)\)

\(\\ \sf\Rrightarrow -4=\dfrac{-2(a+1)}{3}\)

\(\\ \sf\Rrightarrow -2(a+1)=-4(3)\)

\(\\ \sf\Rrightarrow -2(a+1)=-12\)

\(\\ \sf\Rrightarrow a+1=\dfrac{-12}{-2}\)

\(\\ \sf\Rrightarrow a+1=6\)

\(\\ \sf\Rrightarrow a=6-1\)

\(\\ \sf\Rrightarrow a=5\)

Answer:

 0.0714

Step-by-step explanation:

The probability that the first is "working in nature" is 3/8.

The probability that the 2nd is "working in nature" is 2/7.

The probability that the 3rd is "not working in nature" is 5/6.

The probability that the 4th is "not working in nature" is 4/5.

Thus the probability that the first two of 4 opportunities are "working in nature" is ...

  (3·2·5·4)/(8·7·6·5) = 1/14 ≈ 0.0714

The required probability of a given case is 27.63

For the given data;

Let,

X ~ Exp(β = 12)

\(f(x) = \frac{1}{\beta } e^\frac{-x}{\beta } , 0 < x\)

\(f(x) = \frac{1}{12 } e^\frac{-x}{12} , 0 < x\) , and zero (0) otherwise.

Now,

P(X ≤ x) = 1 - \(e^\frac{-x}{\beta }\)

            = 1 - \(e^\frac{-x}{12}\) for x > 0 ⇒ P(X > x) = \(e^\frac{-x}{12 }\)

At least one call means that the probability that the next call time below this length is 0.9,

P(X < x₀) = 1 - exp(-x₀/β)

        0.9 = 1 - exp(x₀/β)

         x₀ = -ln(1 - 0.9) * β

         x₀ = 2.302 * 12

         x₀ = 27.631

P(X < x₀) = 0.9 ⇒ x₀ = 27.63

The necessary probability in a particular scenario is 27.63.

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Answer:

number of message sent by Scott is 23

number of message sent by Christine is   30

number of message sent by Milan is 92

Step-by-step explanation:

Total message sent by Christine,Milan, and Scott : 145

Let number of message sent by Scott be x .

Given that Christine sent 7 more messages than Scott

number of message sent by Christine is   x+7

It is also given that  Milan sent 4 times as many messages as Scott

number of message sent by Milan is   4*x = 4x.

Thus, sum of message sent by Christine,milan, and Scott  in terms of x

= x + x + 7 + 4x = 6x + 7

we already know that Total message sent by Christine,milan, and Scott is 145

thus,  6x + 7 should be equal to 145

6x + 7 = 145

=>6x = 145 - 7 = 138

=> x = 138/6 = 23

Thus,  

number of message sent by Scott is x = 23

number of message sent by Christine is   x+7 = 23+7 = 30

number of message sent by Milan is   4x = 4*23 = 92

To find the value of X, the amount Rani invests every six months into a fund that pays 12% compounded semiannually, we can use the formula for compound interest. Given that the fund accumulated to RM5,745.66 in 4 years and 6 months, we can calculate the value of X.

Compound interest is calculated using the formula:

A = P(1 + r/n)^(nt)

Where:

A is the accumulated amount,

P is the principal amount (the initial investment),

r is the annual interest rate,

n is the number of times interest is compounded per year, and

t is the number of years.

In this case, Rani invests X every six months, so the total number of times interest is compounded per year is 2 (semiannually). The annual interest rate is 12% or 0.12, and the time period is 4 years and 6 months, which can be converted to 4.5 years.

We can substitute these values into the formula and solve for X:

5,745.66 = X(1 + 0.12/2)^(2 * 4.5)

To solve this equation, we can divide both sides by (1 + 0.06)^9 to isolate X:

X = 5,745.66 / (1.06)^9

Evaluating this expression, the value of X is approximately RM895.54. Therefore, Rani invests RM895.54 every six months into the fund to accumulate RM5,745.66 in 4 years and 6 months.

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Answer:

  2w³ +w

Step-by-step explanation:

Given expressions for the sides of a triangle, (-10w³+w) and (4w³-3w), and for the perimeter, (-4w³-w), you want an expression for the third side.

The perimeter is the sum of the side lengths. This relation can be used to find the length of the third side:

  Perimeter = side 1 + side 2 + side 3

  -4w³ -w = (-10w³ +w) +(4w³ -3w) +side 3

  -4w³ -w = -6w³ -2w + side 3 . . . . . . collect terms

  side 3 = (-4w³ -w) -(-6w³ -2w) . . . . . . . subtract (-6w³ -2w)

  side 3 = 2w³ +w . . . . . . . . . . . . . . . . collect terms

Answer: The differential equation that models the weight of the baby bird is:

dR/dt = k (A - R)

where R is the weight of the bird at time t, A is the adult weight of the bird, and k is the proportionality constant.

To solve this differential equation, we can separate the variables and integrate both sides:

dR / (A - R) = k dt

ln|A - R| = -kt + C

|A - R| = e^(-kt+C)

|A - R| = Ce^(-kt)

where C is the constant of integration.

Since the initial weight of the bird is 20 grams, we have R(0) = 20. Plugging this into the above equation, we get:

|A - 20| = Ce^0

|A - 20| = C

Since C is a constant, we can use this to solve for it in terms of the adult weight A:

C = |A - 20|

Thus, the solution to the differential equation is:

|A - R| = |A - 20| e^(-kt)

To determine whether the bird is gaining weight faster when it weighs 40 grams or when it weighs 70 grams, we need to compare the rates of change of the weight at these two points.

When the weight of the bird is 40 grams, we have:

|A - R| = |A - 20| e^(-kt)

|A - 40| = |A - 20| e^(-kt)

Dividing both sides by |A - 20|, we get:

|A - 40| / |A - 20| = e^(-kt)

Taking the natural logarithm of both sides, we get:

ln(|A - 40| / |A - 20|) = -kt

Similarly, when the weight of the bird is 70 grams, we have:

ln(|A - 70| / |A - 20|) = -kt

To compare the rates of change of the weight at these two points, we need to compare the absolute values of the slopes, which are given by the absolute values of the coefficients of t in the above equations:

|ln(|A - 40| / |A - 20|)| = k

|ln(|A - 70| / |A - 20|)| = k

Since k is positive, we can compare the absolute values of the logarithms to determine which weight corresponds to a faster rate of weight gain.

If ln(|A - 40| / |A - 20|) > ln(|A - 70| / |A - 20|), then the bird is gaining weight faster when it weighs 40 grams. If ln(|A - 40| / |A - 20|) < ln(|A - 70| / |A - 20|), then the bird is gaining weight faster when it weighs 70 grams.

Simplifying these expressions, we get:

ln(|A - 40| / |A - 20|) - ln(|A - 70| / |A - 20|) > 0

ln[(A - 40) / (A - 20)] - ln[(A - 70) / (A - 20)] > 0

ln[(A - 40) / (A - 70)] > 0

(A - 40) / (A - 70) > 1

A - 40 > A - 70

70 > 40

This inequality is true, so we can conclude that the bird is gaining weight faster when it weighs.

According to the given differential equation, the rate at which a baby bird gains weight is proportional to the difference between its adult weight and its current weight. Therefore, the rate of weight gain is higher when the bird weighs closer to its adult weight.

Assuming that the adult weight of the bird is greater than 70 grams, the bird is gaining weight faster when it weighs 70 grams as compared to when it weighs 40 grams. This is because the difference between the bird's current weight and its adult weight is greater when it weighs 70 grams as compared to when it weighs 40 grams. Thus, the rate of weight gain is higher when the bird weighs 70 grams.

To further clarify, let's consider the proportional constant k in the differential equation. We know that the rate of weight gain is given by dR/dt = k*(Adult weight - Current weight). As the adult weight is constant, k*(Adult weight - Current weight) is directly proportional to the difference between adult weight and current weight. When the bird weighs 40 grams, this difference is smaller as compared to when it weighs 70 grams, which means the rate of weight gain is slower. Therefore, the bird is gaining weight faster when it weighs 70 grams.

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Solution :

A scatter plot is defined as the mathematical representation of two variables of a given data set. It shows the relationship between the two variables and is plotted graphically.

In the scatter plot attached below, in the x-axis, the number if ice creams are plotted. And the y-axis shows the sales revenue generated by selling ice creams.

Thus the point (12, 190) shows that by selling 12 ice creams, the company generated a sale of $190.

Answer:

what they said was the best explanation

Step-by-step explanation:

Answer:

(2 x 10) + (4 x 1) + (2 x 0.1) + (1 x 0.01)

Step-by-step explanation:

The expanded form of 24.21 = (20 + 4 + 0.2+ 0.01)

The expanded form of an equation requires writing out the place value term of each digit of the number given :

24.21 :

Tens digit = 2 × 10 = 20

Unit digit = 4 × 1 = 4

Tenth digit = 2 × 0.1 = 0.2

Hundredth digit = 1 × 0.01 = 0.01

Hence, the expanded form of the number is :

(20 + 4 + 0.2+ 0.01)

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The percent error is a measure of the accuracy of a measurement compared to the accepted or true value. The percent error is 400%. It is calculated using the formula:

Percent error = (|Measured value - True value| / True value) * 100

When the value obtained for density is smaller, it means that the measured value is closer to zero. In this case, even a small difference between the measured value and the true value will result in a larger percent error. This is because the denominator of the percent error formula (the true value) is small.

For example, let's say the true value of density is 1 g/cm^3 and the measured value is 0.5 g/cm^3. The percent error would be:

Percent error = (|0.5 - 1| / 1) * 100 = 50%

Now, let's consider a larger measured value of 5 g/cm^3:

Percent error = (|5 - 1| / 1) * 100 = 400%

As you can see, the percent error is larger when the measured value is smaller. This is because the absolute difference between the measured value and the true value is relatively larger when the true value is small.

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Answer:

The range for this function is the set (-5)

Answer:

D

Step-by-step explanation:

This question is written very poorly because it is hard to know what x represents, as well as the end equation. I have come to the conclusion that x represents the amount of days and the end equation represents the exact same equation given (as it asks to rewrite the equation)

So, it is obvious that only one equation matches the one given -- as (1.03)^7 is approximately 1.23, which is close enough to 1.25 (compared to the other options), D is our answer

A and B have both 1.25^7 = around 4.77 (480% ish), and C has 1.03^x, which is not very close to 1.25

The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.

Consider the function:

y = a (1 ± r)ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

Initially, there were only 197 weeds at the park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth:

f(x) = 197(1.25)ˣ

If the growth of the weed is shown by each day will be given as,

r = 0.25 / 7

r = 0.03

Then the function is given as,

f(x) = 197(1.03)⁷ˣ

The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.

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Answer:

F= 34 degrees (alternate angles are equal)

To find D

we first have to find the angles at AB

B =180- 165 (sum of angles on a straight line = 180°)

therefore B = 15°(we'll use this to find the angle at E)

A=34 (from the diagram)

so,

D = 180- (15 + 34) [sum of angles in a triangle = 180°]

D = 131°

E=15° (alternate angles are equal )

Step-by-step explanation:

there u go!