Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that their offspring will develop the disease is approxi- mately .25. Suppose that a husband and wife are both carriers and that they have three children. If the outcomes of the three pregnancies are mutually independent, what are the probabilities of the following events?


a. All three children will develop Tay–Sachs disease.

b. Only one child will develop Tay–Sachs disease.

c. The third child will develop Tay–Sachs disease, given that the first two did not.

Answer: A. 2\(\sqrt[3]{6}\)

Step-by-step explanation:

A table of equivalent ratios for the number of miles and hours that Alexander drove is as follows:

Miles        Hours

46                 1

184                4

414                9

The data points are plotted on the coordinate axes of the graph shown in the image attached below.

In Mathematics, a proportional relationship can be represented by the following mathematical expression:

x = ky

Where:

In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality. Therefore, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = x/y

Constant of proportionality (k) = 184/4

Constant of proportionality (k) = 46.

When hours y = 1, the number of miles x is given by:

x = ky

x = 46 × 1

x = 46 miles.

When miles x = 414, the number of hours y is given by:

y = x/k

y = 414/46

y = 9 hours.

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The probability that the next fish caught in Charleston Harbor in March is a drum or a sea trout can be calculated based on the recorded data.

The table below shows the type and number of fish caught during the month:

Drum: 45 fish caught

Sea Trout: 32 fish caught

Redfish: 18 fish caught

Flounder: 12 fish caught

Other: 43 fish caught

To calculate the probability, we need to determine the total number of fish caught and the number of drums and sea trout caught. From the table, we see that 45 drums and 32 sea trout were caught. The total number of fish caught is the sum of these two numbers, which is 45 + 32 = 77.

The probability of catching a drum or a sea trout can be calculated by dividing the number of drums and sea trout caught by the total number of fish caught:

\(\[\text{{Probability}} = \frac{{\text{{Number of drums}} + \text{{Number of sea trout}}}}{{\text{{Total number of fish caught}}}} = \frac{{45 + 32}}{{77}}\]\)

Therefore, the probability that the next fish caught in the Charleston Harbor in March is a drum or a sea trout is approximately 0.9740 when rounded to four decimal places.

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Answer:

15

Step-by-step explanation:

100 x 15 =1500

sorry if wrong and pls give brainiest

Answer:

0.4545...

Step-by-step explanation:

To convert a fraction to a decimal take the numerator (5) and divide it by the denominator (11):

5 ÷ 11 = 0.454545... the 45 keeps repeating because it's a repeating decimal

Answer:

The answer is A

Step-by-step explanation:

Hope it helps!

Answer:

-460

Step-by-step explanation:

I multiply by splitting the numbers into digits. So for the 90, in my head I did 5 × 90, which is 450. Then I did 2 × 5, this is 10. Now I added those up to make 460. Considering the 92 is negative, the answer will also be negative.

The expression is = 8x+18/3

According to our question-

The width of the rectangular drawing is one third the length plus 3 inches.

Let the length of the rectangular drawing is l=x.

The width of the rectangular drawing is one third the length plus 3 inches.

i.e. The perimeter of the drawing is

The expression is 8x+18/3

hence, the expression is = 8x+18/3

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Answer: 2-4= -2

Step-by-step explanation: hope it helps

Answer: (0 + 2) + ( 2 - 4)

Step-by-step explanation:

Answer:

Yes it's 3/4

Step-by-step explanation:

I counted the distance between the points and your right

The formula for the uncertainty of x, Δx, is given by: Δx = √(\(b^2\) * Δ\(c^2\)/\(a^2\) + \(c^2\) * Δ\(a^2\)/\(a^4\) + \(c^2\) * Δ\(b^2\)/\(a^2\)). To derive the formula for the uncertainty of x when x = c/a * b, we can use partial derivatives.

The uncertainty in x can be determined by considering the uncertainties in c, a, and b and their respective contributions to the overall uncertainty. By applying the rules of error propagation, we can derive a formula that expresses the uncertainty in x based on the uncertainties in c, a, and b.

To derive the formula for the uncertainty of x, we start by considering the relationship between x, c, a, and b: x = c/a * b. Let's denote the uncertainties in c, a, and b as Δc, Δa, and Δb, respectively.

Using the rules of error propagation, we can express the uncertainty in x, Δx, as:

Δx = √\(((\partial x/\partial c * \Delta c)^2 + (\partial x/\partial a * \Delta a)^2 + (\partial x/\partial b * \Delta b)^2)\)

Taking partial derivatives of x with respect to c, a, and b, we have:

∂x/∂c = 1/a * b

∂x/∂a = -c/\(a^2\) * b

∂x/∂b = c/a

Substituting these derivatives into the formula for Δx, we get:

Δx = √\(((1/a * b * \Delta c)^2 + (-c/a^2 * b * \Delta a)^2 + (c/a * \Delta b)^2)\)

Simplifying further, we can rewrite this as:

Δx = √(\(b^2\) * Δ\(c^2\)/\(a^2\) + \(c^2\) * Δ\(a^2\)/\(a^4\)+ \(c^2\) * Δ\(b^2\)/\(a^2\))

Therefore, the formula for the uncertainty of x, Δx, is given by:

Δx = √(\(b^2\) * Δ\(c^2\)/\(a^2\) + \(c^2\)* Δ\(a^2\)/\(a^4\) + \(c^2\) * Δ\(b^2\)/\(a^2\))

This formula allows us to calculate the uncertainty in x based on the uncertainties in c, a, and b.

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The correct that refers Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called evidence.

The term numerical data refers the data which is in the form of numbers, and not in any language or descriptive form.

Here we have to find the suitable term for the statement "Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called".

While we have looking into the given statement, we have identified the following from it,

When we look into the meaning of each one we have identified that each of them are acted as the proof to prove the thing is liable.

So, all these things are collectively called as evidence.

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There will be 10 confidence intervals obtained in a Tukey multiple comparison of 5 populations.

In a Tukey multiple comparison, the confidence intervals are constructed to compare the means of all pairs of groups. To calculate the number of confidence intervals, we use the following formula:

C = n(n-1)/2

Where C is the number of confidence intervals, and n is the number of groups. In this case, there are five populations being compared, so n=5. Plugging this into the formula, we get:

C = 5(5-1)/2 = 10

Each confidence interval will provide information about the difference between the means of two groups, with a certain level of confidence. These confidence intervals can be used to identify which pairs of groups have significantly different means.

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The order of values in ascending order will be -4<-2<2<2.64<4<16 as the definition of ascending order says, "When numbers are arranged in ascending order, they are done so from smallest to largest".

When numbers are arranged in ascending order, they are done so from smallest to largest. Climbing down the stairs of numbers starting with their highest value is another way to think of descending. The slide is descended while moving down it. Ascending order, in which the numbers are arranged from lower value to higher value, is the opposite of descending order. A number can be arranged in ascending order by going from smallest to largest from left to right.

Here,

4²=16

-√4=-2

√4²=4

-2√4=-4

6-4=2

√7=2.64

-4<-2<2<2.64<4<16

According to the definition of ascending order, "When numbers are arranged in ascending order, they are done so from smallest to largest," the order of values in ascending order will be -4<-2<2<2.64<4<16.

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The graph that illustrates a quadratic relation with all real numbers in its domain is graph (d)

The graphs in the list of options represent the given parameters

From the question, we understand that the domain is

All set of real numbers

For a graph to have the set of real numbers as its domain, the following must be true.

The graph must have no break on the x-axis

All the graphs in the list of options except graph (d) have breaks

Hence, the required graph is (d)

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The equation of line y = -(2/3)x + 1 is passing through (1.5, 0) and (0, 1).

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

The equation of line is given below.

\(y = -\huge \text(\dfrac{2}{3}\huge \text )x + 1\)

At x = 0, the y-intercept will be

\(y = 0\)

At y = 0, the x-intercept will be

\(0 = -\huge \text(\dfrac{2}{3}\huge \text )x + 1\)

\(\dfrac{2}{3} x + 1\)

\(x = \dfrac{3}{2}\)

\(x = 1.5\)

The equation of line y = -(2/3)x + 1 is passing through (1.5, 0) and (0, 1).

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Answer:

the answer would be:

g(X)

and

m(X)

Step-by-step explanation:

make me as Brainliest sorry if I am wrong

Answer:

i need help with this question tooo

Step-by-step explanation:

Based on the given information, the distribution of the variable is most likely positively skewed.

The mean, median, and mode are measures used to analyze the central tendency of a distribution. In this case, the mean (33) is lower than both the median (50) and the mode (55).

This indicates that the distribution has a tail that extends towards lower values, pulling the mean towards the left. This characteristic is indicative of a positively skewed distribution.

In a positively skewed distribution, the majority of the data points are concentrated on the right side, while the tail extends towards higher values. The mean is lower than the median because the tail pulls the average down.

The mode, being the most frequently occurring value, is higher than both the mean and median. The values provided (mean = 33, median = 50, mode = 55) align with this pattern, suggesting that the distribution is positively skewed.

Therefore, based on the given values of mean, median, and mode, it is most likely that the distribution of the variable is positively skewed.

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The dataset described, with a mean of 33 and median of 50, is indicative of a positively skewed distribution, where most values fall below the average.

When a dataset's mean is less than its median, it indicates a positively skewed distribution. In this case, the mean is 33, the median is 50, and the mode is 55. Because 33 < 50, we know that the majority of the values in the dataset fall below the average (mean), resulting in the distribution tail stretching toward the positive, or right side of the number line. Therefore, the distribution is positively skewed.

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Answer:

yes

Step-by-step explanation:

Answer:

y+2=1/2(x+3)

Why?

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)

so the answer is 4

how to get the answer

\((-24)\) ÷ \(-6+10\)

take the last part

\(-6+10\)

and you would solve that

it would be 4

Answer:

  8.2%

Step-by-step explanation:

You want the interest rate that gives a balance of 17499 after 11800 is invested for 5 years and the interest is compounded annually.

The value of an account earning interest at rate r compounded annually for t years is ...

  A = P(1 +r)^t

Solving for r, we find ...

  A/P = (1 +r)^t . . . . . . . . divide by P

  (A/P)^(1/t) = 1 +r . . . . . . take the t-th root

  r = (A/P)^(1/t) -1 . . . . . . subtract 1

Using the given account values and time, we find the interest rate to be ...

  r = (17499/11800)^(1/5) -1 ≈ 0.081997 ≈ 8.2%

The interest rate is 8.2%.

Answer:

x=4

Step-by-step explanation:

3/4x +4 = 7

3/4x +4-4 = 7-4

3/4x = 3

Multiply each side by 4/3

4/3 * 3/4x = 3 *4/3

x = 4

Answer:

x = 4

Step-by-step explanation:

3/4x + 4 = 7

3/4x = 3

To remove the denominator, we multiply by 4 on both sides

3x = 12

x = 4

Answer:

The 1990s basketball player did better than the current basketball player because his z-score is higher.

Step-by-step explanation:

i just took the test

Step-by-step explanation:(a) To find two other pairs of polar coordinates of (3, π/4):

One with r > 0: (3, 9π/4)

One with r < 0: (-3, 5π/4)

To plot the point (3, π/4), we start at the origin and move 3 units along the line that makes an angle of π/4 radians with the positive x-axis.

(b) To find two other pairs of polar coordinates of (2, -2π/3):

One with r > 0: (2, 4π/3)

One with r < 0: (-2, π/3)

To plot the point (2, -2π/3), we start at the origin and move 2 units along the line that makes an angle of -2π/3 radians (which is the same as 4π/3 radians) with the positive x-axis.

(c) To find two other pairs of polar coordinates of (-2, π/6):

One with r > 0: (2, 7π/6)

One with r < 0: (-2, 19π/6)

To plot the point (-2, π/6), we start at the origin and move 2 units in the direction that makes an angle of π/6 radians with the positive x-axis, but since r is negative, we move in the opposite direction. So we end up at a point on the line that makes an angle of 7π/6 radians with the positive x-axis.