Mr. Potts, the college Pastry Chef, baked three apple pies, two blueberry pies, five cherry pies, and six key lime pies for the student fundraiser. What percent of the pies were apple?

The triangle ΔABC is congruent to the triangle ΔCDA. Then the side BC is equal to the side DA.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The triangles are said to be identical if the two sides and that included aspect of one triangle match the two sides and that includes the degree of the other triangle.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

Statements                                  Reason

AB = CD                                        (Given)

AC = AC                                        (Reflexive Property)

BA ⊥ AC and DA ⊥ AC                (Given)

∠BAC = ∠DCA                              (Perpendicular makes right angle)

ΔABC ≅ ΔCDA                             (Congruent triangle)

BC = DA               (Corresponding sides are equal to a congruent triangle)

More about the triangle link is given below.

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Answer:

No, it is not a proportional relationship because the graph does not go through the origin

Step-by-step explanation:

that is the awnser hope i helped

Final answer:

Using the principle of Inclusion-Exclusion, and taking the common members in two, three, and four groups into account, we find that there are 3439 unique members across the four groups.

Explanation:

To solve this problem, we need to use the principle of Inclusion-Exclusion. Let's denote the four groups as A, B, C, and D. According to the question, each group has 1000 members (n(A) = n(B) = n(C) = n(D) = 1000).

Any two groups have 100 members in common. That means, for instance, n(A ∩ B) = n(A ∩ C) = n(A ∩ D) = n(B ∩ C) = n(B ∩ D) = n(C ∩ D) = 100.

Any three groups have 10 members in common, which gives us n(A ∩ B ∩ C) = n(A ∩ B ∩ D) = n(A ∩ C ∩ D) = n(B ∩ C ∩ D) = 10.

There is 1 person in all four groups, so n(A ∩ B ∩ C ∩ D) = 1.

The total number of unique members in all groups, denoted as n(A ∩ B ∩ C ∩ D), is given by:

n(A ∩ B ∩ C ∩ D) = n(A) + n(B) + n(C) + n(D) - [sum of the number of common members between every two groups] + [sum of the number of common members between every three groups] - [number of members common to all four groups].

Substituting the values:

n(A ∩ B ∩ C ∩ D) = 4(1000) - [6(100)] + [4(10)] - 1 = 4000 - 600 + 40 - 1 = 3439.

Therefore, there are 3439 unique members across all groups.

The standard error of the sample mean is approximately 0.0671 degrees Fahrenheit when rounded to two decimal places. The distribution of the sample mean is a t-distribution due to the use of the sample standard deviation as an estimate.

The question involves calculating the standard error of the sample mean for a set of body temperature measurements. To find the standard error, we use the formula: standard error = sample standard deviation / sqrt(sample size). With a sample standard deviation of 0.3 degrees Fahrenheit and a sample size of 20, the standard error is calculated as:

standard error = 0.3 / sqrt(20)

standard error = 0.3 / 4.472

standard error ≈ 0.0671 (rounded to two decimal places)

The distribution of the sample mean is a t-distribution because we are using the sample standard deviation as an estimate of the population standard deviation, which is unknown.

Final answer:

To find the probability that at least 10 of the next 12 website visitors will bounce, you calculate the sum of the binomial probabilities for 10, 11, and 12 successes (bounces) out of 12 trials.

Explanation:

To find the probability that at least 10 of the next 12 visitors to a website will bounce, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

C(n, k) is the combination of n items taken k at a time.

p is the probability of a single success (in this case, a bounce).

k is the number of successes.

n is the total number of trials.

In this question:

p = 0.93 (probability of bounce)

n = 12 (total visitors)

We want to calculate the probability of at least 10 bounces, so we need to calculate P(X = 10) + P(X = 11) + P(X = 12).

P(X = 10) = C(12, 10) * 0.93^10 * (1 - 0.93)^(12 - 10)

P(X = 11) = C(12, 11) * 0.93^11 * (1 - 0.93)^(12 - 11)

P(X = 12) = C(12, 12) * 0.93^12 * (1 - 0.93)^(12 - 12)

The final probability is the sum of these three probabilities.

The answer is not "When volume is increased and the number of particles is constant" its actually "When volume is increased and the number of particles is increased"

Answer:

C) when volume is increased and the number of particles is increased

Step-by-step explanation:

[tex]4x^2-11x+6=0\\\\4x^2-8x-3x+6=0\\\\4x(x-2)-3(x-2)=0\\\\(x-2)(4x-3)=0[/tex]

Answer:

(4x - 3)(x - 2) = 0

The total number of ways in which the members of the different nationalities can be seated such that those of the same nationality sit together is 331776 ways. This is calculated using the concept of permutations.

This question can be solved using the concept of permutations and combinations. We assume that groups of people of the same nationality are distinct. Thus, we can treat them as individual entities. We have four entities in total: a group of 3 Americans, a group of 4 Frenchmen, a group of 4 Danes, and a group of 2 Italians.

Firstly, these 4 entities can be arranged in 4! ways, which is 4*3*2*1 = 24 ways.

Within each nationality group, the people can be arranged amongst themselves in the following ways: Americans - 3!, Frenchmen - 4!, Danes - 4! and Italians - 2!. This is equal to 3*2*1 = 6, 4*3*2*1 = 24, 4*3*2*1 = 24 and 2*1 = 2 respectively.

Therefore, the total number of ways in which the nationalities can be seated such that those of the same nationality sit together is:

4! * (3! * 4! * 4! * 2!) = 24 * (6 * 24 * 24 * 2) = 331776 ways.

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The number of ways the Americans, Frenchmen, Danes, and Italians can be seated together is 20,736.

To count the number of ways the Americans, Frenchmen, Danes, and Italians can be seated together, we can treat each nationality as a single group and consider the groups as individuals. Therefore, we have 4 groups to arrange in a row. Within each group, the individuals can be arranged among themselves. The number of ways to arrange the individuals within a group is given by the factorial of the number of individuals in that group. So, the total number of arrangements is:

Number of arrangements = 4! × 3! × 4! × 2!

Substituting the factorials with their corresponding values:

Number of arrangements = 24 × 6 × 24 × 2 = 20,736

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I believe this problem has 3 questions:

a. Explain why the three conditions are satisfied for X to have the binomial distribution.

b. Identify n and p for the binomial distribution.

c. Find the probability that the family has two girls and two boys.

Answers:

a. First because there are only 2 possible outcomes for each birth: male or female. Hence a binomial distribution. 
Second, because the probability of giving out a girl is constant: 0.49 for each birth. 
Third, the probability of a giving out a girl does not depend on whether or not there is already a boy or a girl in the family. 

b. The n is the total number of children, so n = 4

While the p is the success of being a girls, so P = 0.49

c. We use the binomial probability equation:

P (X) = nCx * p^x * q^(n-x)

P(X=2) = 4!/(2!2!) * 0.49^2 * 0.51^2 = 0.3747

Final answer:

Inheritance of sex chromosomes in babies is determined by the father, leading to a 50:50 chance of a male or female child. The likelihood of a newborn being female is around 0.49.

Explanation:

Sex Inheritance: The sex of a baby is determined by the father, who has a 50 percent chance of passing on a Y chromosome resulting in a male child. If the baby inherits two X chromosomes, it will be female. This 50:50 chance applies to each baby. For a family with four children, let x = the number of girls, the probability of a child being female is approximately 0.49.

Answer:

x = 4 is the answer.

Step-by-step explanation:

List of rides in a month of 30 students have been given in the question.

We have to find the value of x if fraction x/30 shows the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed.

Therefore x/30 = 4/30

x = 4×30/30 = 4

So x = 4 is the answer.

To determine the number of each cable produced, a system of equations is set up with variables representing the cable types and coefficients corresponding to the number of wires used per cable. The system consists of three equations based on the colors of wires and the totals used.

To solve this problem, we can set up a system of equations where the unknowns are the number of each type of cable produced. Let's represent the number of type A cables as x, type B cables as y, and type C cables as z. Considering the number of wires used for each type of cable and the total used, we form the following equations:

To find the number of each cable made, we need to solve this system of equations simultaneously. The coefficients represent the number of each color wire needed for each cable type, and the constants (120, 110, 100) represent the total number of wires used.

Answer:

Paul can set up his studio and have $378 left over.

Step-by-step explanation:

Consider the provided information,

He needs to purchase four speakers at $435 a piece.

The total cost of four speakers is $435×4=$1740

He needs to purchase two mixers at $772 a piece.

The total cost of two mixers is $772×2=$1544

He also needs to soundproof a room, which will cost him $838.

Thus, the total money he needs to spend is:

$1740+$1544+$838=$4122

Paul has $4,500 in his savings account.

It is clear that $4500 is more than $4122.

$4500-$4122=$378

Hence, Paul can set up his studio and have $378 left over.

Answer:

what he said up so he can get brainliest

Step-by-step explanation: