Write equations for the vertical and horizontal lines passing through the point (5,3)

The probability of the child having type AB blood is 1/4.

First, let's look at the possible blood types for each parent:

Man (Type AB): The man has the genotype AB, meaning he has two alleles, one for A and one for B. As a result, his blood type is AB.

Woman (Type O): The woman has the genotype OO, which means she has two alleles for O. Consequently, her blood type is O.

Now, let's create a Punnett square to determine the possible genotypes and blood types for the child. Since the man has the genotype AB and the woman has the genotype OO, we can cross their genotypes to form the square:

   |    A       B

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

O  | AO       BO

O  | AO       BO

From the Punnett square, we can see that there are four possible combinations of alleles for the child: AO, AO, BO, and BO. Now let's determine the blood types associated with each genotype:

AO: This genotype corresponds to blood type A.

AO: This genotype also corresponds to blood type A.

BO: This genotype corresponds to blood type B.

BO: This genotype also corresponds to blood type B.

Since the child has two possible genotypes resulting in blood type A and two possible genotypes resulting in blood type B, the child has an equal chance of inheriting either type.

To calculate the probability of the child having type AB blood specifically, we need to determine the number of favorable outcomes (AB genotype) divided by the total number of possible outcomes.

In this case, the favorable outcome is the AB genotype, which occurs only once out of the four possible outcomes. Therefore, the probability of the child having type AB blood is 1 out of 4, or 1/4.

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1/64 fraction is equal to 0.015625 in decimal form.

To change the fraction 1/64 to a decimal, we need to perform division.

1 divided by 64 can be written as:

0.015625

----------

64 | 1.000000

   0

  10

   0

The result of the division is 0.015625. This means that 1/64 is equal to 0.015625 in decimal form.

Note that in this case, we carried the division out to six decimal places, but the question specified that we should carry it out to three decimal places. In that case, we would round the answer to 0.016.

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Answer:

\(x=60\degree\)

Step-by-step explanation:

Consecutive angles of a parallelogram are are supplementay.

\( \implies \: x + 2x = 180 \degree \\ \\ \implies \: 3x = 180 \degree \\ \\ \implies \: x = \frac{ 180 \degree }{3} \\ \\ \implies \: x =60 \degree\)

Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99    (cm^2)

Answer:

(x - y)(x - y + a)

Step-by-step explanation:

\((x-y)^2-a(y-x) \\ \\ = (x-y)^2 + a(x - y) \\ \\ = (x - y) \{(x - y) + a \} \\ \\ = (x - y)(x - y + a)\)

Answer:

12 units

Step-by-step explanation:

pls mark me brainliest

Answer:

\(d = \sqrt{121 } \)

D=11

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Answer:

1/9

Step-by-step explanation:

if you spend 2/3 of it, you will have 1/3 remaining.

if you spend 2/3 of that, you will have 1/3 X 1/3 = 1/9 of the original.

Answer:

The sum of all odd numbers between 2 and 8 is 15.

Step-by-step explanation:

The numbers between 2 and 8 are: 3, 4, 5, 6, and 7. The odd numbers from this set are 3, 5, and 7.

3 + 5 + 7 = 15

The sum of all odd numbers between 2 and 8 is 15.

Hope this helps,

~ Nicki ~

Answer:

The sum of all odd number between 2 and 8 is = 3,5,7

=15

The probability that exactly 3 out of 15 students have hardcover textbooks is approximately 0.267, or 26.7%.

To find the probability that exactly 3 out of 15 students have hardcover textbooks, we can use the binomial probability formula:

\(P(X = k) = C(n, k) \times p^k \times (1 - p)^{(n - k)\)

Where:

n is the number of trials (number of students chosen)

k is the number of successes (number of students with hardcover textbooks)

p is the probability of success (probability of a student having a hardcover textbook)

In this case:

n = 15 (we are choosing 15 students)

k = 3 (we want exactly 3 students to have hardcover textbooks)

p = 0.25 (probability of a student having a hardcover textbook)

Let's calculate the probability:

\(P(X = 3) = (15,3) \times 0.25^3 \times (1 - 0.25)^{(15 - 3)\)

Using the binomial coefficient formula (n choose k) = n! / (k! * (n - k)!):

\(P(X = 3) = (15! / (3! \times (15 - 3)!)) \times 0.25^3 \times 0.75^{12\)

Simplifying:

\(P(X = 3) = (15 \times 14 \times 13 / (3 \times 2 \times 1)) \times 0.25^3 \times 0.75^{12\)

\(P(X = 3) = 455 \times 0.25^3 \times 0.75^{12\)

P(X = 3) ≈ 0.267

Therefore, the probability that exactly 3 out of 15 students have hardcover textbooks is approximately 0.267, or 26.7%.

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John has the greater total change in the amount of detergent in their bottle.

Given that, Brenda pours laundry detergent from a bottle into the cap and then into the washing machine.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Every time she fills the cap, the amount of detergent in the bottle changes by -0.26 L. She fills the cap 314 times in all.

Now, the volume of bottle =314×0.26

= 81.64

≈ 82 L

Every time he fills his cap, the amount of detergent in his bottle changes by -0.21 L. He fills his cap 256 times in all.

Here, the volume of bottle =256×0.21

= 53.76

≈ 54 L

Hence, John has the greater total change in the amount of detergent in their bottle.

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The number of real solutions of a quadratic equation depends on the sign of the discriminant.We can find discriminant by using discriminant formula.

A real solution in algebra is simply a solution to an equation that is a real number. there can be 0, 1, or 2 solutions to a quadratic equation depending on whether the expression inside the square root sign (b2 - 4ac), is positive, negative, or zero.

When the discriminant value is positive we get two real solutions. When the discriminant value is zero we get one real solution. When the discriminant value is negative we get a pair of complex solutions.

So that we can find real solution of quadratic equation by finding discriminant of given equation.

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Answer:

6 and 9

Step-by-step explanation:

x + y =15

2x = 3y             Set up system of equations

x = \(\frac{3y}{2}\)             Solve for x

\(\frac{3y}{2}\) + y = 15     Substitute

3y + 2y = 30

y = 6

x = 9

Answer:

2/25=0.08

Step-by-step explanation:

1/25*2 = 0.08

Answer:

No

Step-by-step explanation:

To be equivalent it would have to be 16/8 not 16/9

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

4x + 3 = x+ 2x + 14

4x + 3 = 3 x + 14

4x - 3x = 14 -3

x= 14 - 3

x= 11

Answer:

x=11

Step-by-step explanation:

Distribute :

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

4x + 3 = x + 2x + 14

Combine like terms :

4x + 3 = x + 2x + 14

4x + 3 = 3 x+ 14

Subtract 3 from both sides of the equation :

4x + 3 = 3x + 14

4x + 3-3 = 3x + 14 -3

Simplify :

what ever way you know how to subtract the numbers you should get this answer :

4x = 3x + 11

Subtract 3 from both sides of the equation :

4x = 3x + 11

4x - 3x = 3x + 11 - 3x

Simplify :

combine like terms

multiply by 1

combine like terms

x= 11

Answer:

(1,-9)

Step-by-step explanation:

Answer:

(1,-9)

Step-by-step explanation:

Answer:

C.) 4×π×3²×10^5

I hope this is good enough:

Answer:

400

Step-by-step explanation:

Answer:

The room has a width of three metres, and a length of seven metres.

Step-by-step explanation:

This is solvable using a system of equations.  First, we're told that its length is four metres more than its width:

l = w + 4

We're also told that it has a perimeter of 20, and know that the perimeter of a rectangle is equal to two times its length plus two times its length.  We can plug the given perimeter into that relationship, giving us:

20 = 2l + 2w

With that, we can simply substitute our first equation into it, replacing l, and then solve for w:

20 = 2l + 2w

20 = 2(w + 4) + 2w

20 = 2w + 8 + 2w

12 = 4w

w = 3

So the width is three metres.  We also know that the length is four metres more than that, telling us that it's seven metres.

We can check that my calculating the perimeter with those numbers and making sure it still matches 20

2 * 3 + 2 * 7

= 6 + 14

= 20

so the answer is good.

An example of a rational expression is 2x+3/x-2.

The complete question wasn't found. Therefore, a overview will be given. It should be noted that a rational expression simply means quotient of two polynomials.

A rational expression is a fraction whose numerator and denominator are polynomials.

In this case, an example of a rational expression is 2x+3/x-2

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Answer:

-5x^2-32x+13

Step-by-step explanation:

(3-13x-7x)-(5x^2+12x-10)

3-20x-5x^2-12x+10

-5x^2-32x+13

Answer:

-12x^2-25x+13 is the actual answer on Plato

Step-by-step explanation:

The distance between Jordan and Alana will be √5 meters.

Given is that three ballet dancers are positioned on stage. If Vijay is 2 meters straight behind Jordan and 1 meter directly left of Alana.

Let Jordan be at origin (0, 0). Then, Vijay will be at (-2, 0). Alana will be at point (-2, - 1). The distance from Jordan to Alana will be -

r² = (- 1 - 0)² + (- 2 - 0)²

r² = 1 + 4

r = √5

Therefore, the distance between Jordan and Alana will be √5 meters.

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Having a rectangular pasture for the animals to graze in is something a farmer wants in order to start growing cows, horses, goats, and sheep. She has decided to purchase 7500 ft of fencing. 1875 square feet is the maximum possible area that each of the four pens will enclose.

The maximum possible area of each pen is 1875 square feet. To calculate this, first calculate the total area of the large rectangle that the farmer is enclosing. To do this, multiply the total length of the fencing (7500 feet) by the width of the fence (1 foot). This gives us 7500 square feet as the area of the large rectangle.

Next, divide the area of the large rectangle by 4 to get the area of each pen. This gives us 1875 square feet as the maximum area of each pen.

Total Area of Large Rectangle = 7500 ft x 1 ft = 7500 sq ft

Area of Each Pen = 7500 sq ft / 4 = 1875 sq ft

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The theorem that provides a method for revising probabilities to reflect new information is Bayes' theorem.

Bayes' theorem is a fundamental concept in probability theory and statistics that provides a way to update or revise probability estimates based on new or additional information.

It is named after the English statistician Thomas Bayes, who first formulated the theorem in the 18th century. Bayes' theorem is widely used in various fields such as science, engineering, medicine, finance, and artificial intelligence.

It is an essential tool for solving problems related to decision making, prediction, and classification.

Bayes' theorem is based on conditional probability, which describes the probability of an event given that another event has occurred. The theorem provides a formula for calculating conditional probabilities and allows for the incorporation of new information or evidence into the probability estimate.

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Answer:

what we have to do with this please ask complete question