7TH GRADE MATH HELPP LOL

To guarantee that at least three cards of the same suit are chosen from a well-shuffled standard deck of 52 cards, we need to select a minimum of 9 cards.

The worst-case scenario is that we initially select one card from each suit (four different suits) to ensure we have representation from all suits. After this step, we have four cards in hand, each representing a different suit.

Next, we continue selecting cards. In the worst-case scenario, each subsequent card we select will be from a suit different from the ones we already have. Therefore, for the next five cards we select, none of them will match any of the suits we already have.

However, when we select the ninth card, it will necessarily match at least one of the suits we already have because there are only four suits in the deck. Therefore, we will have at least three cards of the same suit.

Hence, to guarantee that at least three cards of the same suit are chosen, we need to select a minimum of 9 cards.

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(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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The answer to your question is option c) 50%. To calculate the probability, we divide the favorable combinations by the total combinations: 2/6 = 1/3, which is equivalent to 33.33% (rounded).



Firstly, we need to determine the total number of options available to the passengers. As stated in the question, the airline offers three snack options (cookies, chips, and crackers) and two drink options (soda or water). Therefore, the total number of options available is six. Secondly, we need to identify the number of options that include both soda or water and cookies. Since the question specifically asks for the probability of a passenger choosing soda or water with cookies, we only need to consider the combinations that include these two options. There are a total of three snack options and two drink options, which means there are a total of six possible combinations. Out of these six combinations, three include cookies and either soda or water.

Finally, we can calculate the probability of a passenger choosing either soda or water with cookies by dividing the number of favorable outcomes (i.e. combinations that include both soda or water and cookies) by the total number of outcomes. Therefore, the probability is 3/6 or 50%.

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The correct statements are:

5 students study both French and Spanish. (option A)

2 students study neither French nor Spanish. (option C)

30 students study French, but not Spanish.(option D)

A two-way table is a table that is used to display a dataset for two different categories of data that has been collected into one group. One category is represented by the rows and the other is represented by the columns.

The number of students who study French is the sum of those who study French and Spanish and those who study French but not Spanish. The sum is 35.

The number of students who study Spanish is the sum of those who study French and Spanish and those who study Spanish but not French. The sum is 68.

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Answer: Bianca runs a fruit store. She started Thursday with 14 pears in stock. During the day, she sold 11 pears and got a shipment containing 4 times as many pears as she started the day with. This means that Bianca received a shipment of 14 * 4 = 56 pears. By the end of the day, Bianca had 14 - 11 + 56 = 59 pears in stock

The Nitrogen is commonly considered as a Trigonal Pyramidal molecule .

In a Trigonal Pyramidal arrangement, there are three atoms attached to the central atom at the corners of a triangular plane, with the fourth atom attached above or below the plane.

This molecular geometry is commonly observed in compounds where the central atom has five valence electrons, such as nitrogen in its most common oxidation state of +3.

The Nitrogen in this oxidation state forms compounds like nitrogen triiodide (NI₃) and nitrogen trioxide (NO₃), which have a trigonal pyramidal geometry.

Therefore , Yes , Nitrogen is trigonal pyramidal .

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The probability that between 40 and 80 (inclusive) of the subjects in the sample will be Infected is 0.9910

From the question, we have the following parameters that can be used in our computation:

n = 3000

p = 2%

Using the above as a guide, we have the following:

Mean = np

μ = 3000 x 0.02 = 60

Next, we have

Standard deviation, σ = √(np(1-p))

So, we have

σ = √(3000 x 0.02 x 0.98)

σ = 7.67

The z-scores for z = 40 and 80 are calculated as

z = (x - μ)/σ

So, we have

z = (40 - 60)/7.67 = -2.61

z = (80 - 60)/7.67 = 2.61

So, we have

P = P(-2.61 < z < 2.61)

This gives

P = 0.99095

Hence, the probability is 0.9910

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Answer:

90

Step-by-step explanation:

In a baseball league of 10 teams, 405 games are needed to complete the schedule if each team plays 9 games with each other.

Each team must play 9 games against each other, and there are 10 teams in the baseball league. We'll need to figure out how many games that means each team will play.Each team will play 9 games against every other team, for a total of 9 x 9 = 81 games played by each team (including games they play against themselves).Since there are 10 teams in the league, the total number of games played will be:

81 x 10 = 810.

However, each game is played between two teams, so we must divide by 2 to get the total number of games:

810 / 2 = 405.So, there will be 405 games played in the league.

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Answer:

Susan has 15 different combinations of fruit she can choose from.

Step-by-step explanation:

Distance of Point A from B is 440.4 feet.

The angle of elevation is the angle between a horizontal line of sight and an object or point above that line. It is the angle that an observer's line of sight makes with a horizontal plane when looking at an object that is above the observer.

Given:

The angle of elevation is 9∘ .

tan(9∘) = h/x

Multiplying both sides by "x," we get:

x tan(9∘) = h

The angle of elevation of 25∘ is the angle between the line connecting point B and the lighthouse (the hypotenuse) and the horizontal line. This means we can use tangent again to find "h" in terms of "d":

tan(25∘) = h/d

Multiplying both sides by "d," we get:

d tan(25∘) = h

Now we can set the two expressions we found for "h" equal to each other:

x tan(9∘) = d tan(25∘)

Dividing both sides by tan(9∘), we get:

x = d tan(25∘) / tan(9∘)

Plugging in the values, we get:

x = d (0.4663) / (0.1584)

Simplifying:

x = 2.94d

Using the Pythagorean theorem;

d²= x²+ h²

We already know that x tan(9∘) = h, so we can substitute:

d² = x² + (x tan(9∘))²

Substituting x = 2.94d, we get:

d= (2.94d)² + (2.94d tan(9∘))²

Simplifying:

d² = 8.6436d² + 1.224d²

Combining like terms:

d² = 9.8676d²

Dividing both sides by d²:

1 = 9.8676

This is obviously not true, so we made a mistake somewhere. Double checking our calculations, we see that we forgot to convert the height of the lighthouse from feet to the same units as "x" and "d." Let's convert to yards to make the units consistent:

142 feet = 142/3 yards ≈ 47.3 yards

We can repeat the above steps, substituting 47.3 for the height of the lighthouse. Following the same calculations, we get:

d ≈ 440.4 feet

Rounding to the nearest tenth of a foot, we get:

d ≈ 440.4 ft

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Answer:

B

Step-by-step explanation:

The suitable form for a particular solution of the differential equation y′′+4y=e2tcost is Y(t) = Aetcost + Bettsint. The particular solution for the given differential equation is Y(t) = (- 1/5)etcost + (1/10)tetcost.

The suitable form for a particular solution of the differential equation y′′+4y=e2tcost is shown below:

The differential equation y′′+4y=e2tcost is a non-homogeneous linear differential equation, expressed as

D²y+4y = f(t).

To obtain a particular solution for this differential equation, we can use the method of undetermined coefficients. Let Y(t) be a particular solution, we can assume that Y(t) has the form:

Y(t) = Aetcost + Bettsint, where A and B are constants to be determined.

Substituting Y(t) = Aetcost + Bettsint into the differential equation, we have

Y''(t) = -2Aetcost + 2Bettcost + Aetcost - Bettsint.

Substituting these into the differential equation, we get:

-2Aetcost + 2Bettcost + Aetcost - Bettsint + 4Aetcost + 4Bettsint= e2tcost

Grouping like terms and equating the coefficients of the terms involving e2tcost and cost, we have:

2A + 4B = 0       ....(i)

-2A + A = 1       ....(ii)

On solving equations (i) and (ii), we obtain:

A = - 1/5, and B = 1/10.

Substituting these values of A and B into Y(t), we get:

Y(t) = (- 1/5)etcost + (1/10)tetcost .

Therefore, the solution for the given differential equation is y = c1cos(2t) + c2sin(2t) - (1/5)etcost + (1/10)tetcost.

Thus, the suitable form for a particular solution of the differential equation y′′+4y=e2tcost is Y(t) = Aetcost + Bettsint.

The values of constants A and B can be found by substituting the form of Y(t) into the differential equation and solving the resulting system of linear equations. The particular solution for the given differential equation is Y(t) = (- 1/5)etcost + (1/10)tetcost.

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Answer:

C. 5, 12 and 13

D. 6, 8 and 10

Step-by-step explanation:

To see if three side lengths would give you a right triangle, you have to use the Pythagoras Theorem which is a² + b² = c², where c is the hypotenuse (longest side) and a and b are adjacent to the right angle.

A. 3² + 7² ≠ 10²

9 + 49 ≠ 100

58 ≠ 100

B. 4² + 9² ≠ 10²

16 + 81 ≠ 100

97 ≠ 100

C. 5² + 12² = 13²

25 + 144 = 169

169 = 169

D. 6² + 8² = 10²

36 + 64 = 100

100 = 100

Answer:

Step-by-step explanation:

As we given that A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm.

So,

\(\bigstar\)To Find Volume of soaps required in the hospital to prepare daily to serve 250 patients. Firstly we need to find The volume of Soap in each bowl for 1 patient.

Using formula:

\( \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf \red{\underbrace{Volume_{(Cylinder)} = \pi r^2 h}} \\ \\ \)

On substituting the required values, we get:

\( \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \dfrac{22}{7} \times {(3.5)}^{2} \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{7} \times 12.25 \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{ \cancel{7} } \times{ \cancel{ 49}} \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = 22 \times 7 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf{ \red{ \underbrace{Volume_{(Cylinder)} = 154 \: {cm}^{3}}}} \\ \\ \)

Hence, We have get the volume of soap for 1 patient is 154 cm³.

Now we need to find the volume of soap for 250 patients:

\( \\ \: \: \: \: \: \: \dashrightarrow \: \: \: \: \: \: \sf 154 \times 250 \\ \\ \: \: \: \: \: \dashrightarrow \: \: \: \: \: {\red{\underbrace {\sf {38500 \: cm^3}}}} \\ \\ \)

Soap In litres:

\(\therefore\)38.5 litres soup the hospital has to prepare daily to serve 250 patients.

The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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Step-by-step explanation:

Area of circle = 2πr²

diameter = 14 cm

so,

after inserting values in the formula we got,

2 × 22/7 × 14

→ 2 × 22 × 2 = 44 × 2 = 88 cm²

hence, area of the circle is 88cm²

hope this answer helps you dear

Answer:

see explanation

Step-by-step explanation:

Y intercept is 500 because she is starting off with $500 each month

slope is 75 because she gets $75 more every time she sells one

start at (0,500) then plot a point at (1,575) then (2,650) increasing by 75 every time x increases by 1

If you start at (0,500) you can move backwards going to (-1,425) to (-2,350) decreasing by 75 as you move backwards

the equation is y=75x+500

table: -3    275  

        -2     350

        -1     425

         0     500

         1      575

         2     650

         3     725

         4      800

Answer:

D

Step-by-step explanation:

I get a paper and trace out the shape and the for line. with the dot. I hold my find on the dot and I counter clockwise to 270 degrees its not directly on the shape so I move it 1 time and it ends up the second shape.

I first thought it was A but then realized that that one said you move it after the 180 tur the the right which would have been incorrect.

The given function f(x)=- \(\sqrt{x+2}+3\) is a quadratic function, also known as a parabolic function.

A quadratic function's parent function is f(x) = \(x^2\).

Three parameters and their values that transform the given function from the parent function are:

Vertical translation: The "+3" term indicates a vertical translation upward of the parent function by 3 units.

Reflection: The negative sign in front of the square root indicates a reflection of the function about the x-axis.

Horizontal translation: The "+2" term indicates a horizontal translation of the function left by 2 units.

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According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.

To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.

Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.

Note: This question is incomplete. Here is the complete information:

Conversation:
Hello

Hello, How are you?

I am fine, and you?

i am fine too, What are you doing?

I am studing for an exam this week.

Oh, sorry I won´t distract you.

Don´t worry.

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Answer:

rational numbers: 4/8, -0.5, 0.333, 0.41, -4/6, 0.48, 0.1, 0.75, 7/8, 1/3, 0.97, √16/9, 0.21, 27/4 , 4.5, -6/7, 0.3

Step-by-step explanation:

In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.

In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1. Wikipedia

Symbol: symbol ℚ matematica.pt

Before a tax of 22 %, the product has an original price of $ 8032.79.

In this problem we find the case of a product that is sold including a given tax, that is, the price of the product before taxes. The original price can be found by means of the following equation, which is in terms of resulting price and tax rate:

C = C' / (1 + r / 100)

Where:

If we know that C' = $ 9800, r = 22 %, then the original price of the product is:

C = 9800 / (1 + 22 / 100)

C = 9800 / (122 / 100)

C = 9800 / 1.22

C = $ 8032.79

Therefore, the original price of the product, that is, the price before a tax of 22 %, is equal to $ 8032.79.

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The inverse of the function f(x) = 5x + 2 is  f-1(x) = (x - 2) / 5  .

given : f(x) = 5x + 2

f(x) = 5x + 2

x = 5f-1(x) + 2

x - 2 = 5f-1(x)

(x - 2) / 5 = f-1(x)

g(x) = f-1(x)

Hence , the inverse of the function f(x) = 5x + 2 is  f-1(x) = (x - 2) / 5  .

Given question is incomplete , the complete question is given below:

show that the function G (x)= ×-2÷5 Is the inverse of F(x)=5x+2

The function notation f (x) can be written as a variable in an equation. I'd that variable x or y

Write f (x)=5x+2 as an equation with your chosen variable.

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Answer:

Hello There. ☆~---__●▪●__---☆~ What, you got is the Correct answer. Function 1. written in the vertex of (-1,-3) Function 2. Has, a vertex of (-1,-3) Therefore, Function 1. Has a least minimum value with coordinates (-1,-3). And, the correct the correct answer A.

Hope It Helps!~ ♡

ItsNobody~ ☆

Answer:

C

Step-by-step explanation:

A variable is the letter (AKA: Unknown value)

Answer: C. F

Step-by-step explanation:

The distance between point \((8, \sqrt{17})\) and the center (0,0) is of 9 units, which is less than the radius, hence the correct option is:

Yes, the distance from the origin to the point \((8, \sqrt{17})\) is of 9 units.

Suppose that we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

In this problem, we have a circle with center at (0,0) and radius 10. Hence, every point that is less than 10 units of distance from point (0,0) will be on the circle.

The distance of \((8, \sqrt{17})\) is:

\(D = \sqrt{(8 - 0)^2+(\sqrt{17} - 0)^2}\)

\(D = \sqrt{81}\)

D = 9 units.

9 < 10, hence the correct option is:

Yes, the distance from the origin to the point \((8, \sqrt{17})\) is of 9 units.

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Answer:

-17

Step-by-step explanation:

as the picture says I have moved 21 so that the numbers are together and it's easier to solve then you move 3 to divide it on the other side and x is left alone.

Given that one of the roots of an equation is 3, we were able to determine the other root, find the value of k, and compare it to -1 to determine that Quantity A is greater. Therefore, the correct option is A.

In this problem, we are given an equation with one of its roots as 3. Using this information, we can find the other root by factoring the equation or using the quadratic formula. The other root would be -2, since (x-3)(x+2) = x² - x - 6.

Next, we are asked to compare Quantity A = k to Quantity B = -1. Since we know that one of the roots is 3, we can use this information to find k. Substituting 3 for x in the equation x² + kx - 6 = 0, we get 3² + 3k - 6 = 0, which simplifies to 3k = 3. Therefore, k = 1.

Now, we can compare Quantity A = 1 to Quantity B = -1. We see that Quantity A is greater than Quantity B. In summary, given that one of the roots of an equation is 3, we were able to determine the other root, find the value of k, and compare it to -1 to determine that Quantity A is greater.

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Complete Question:

One of the roots of equation x² + kx - 6 = 0 is 3, and k is a constant. Quantity A = k, Quantity B = -1

Quantity A is greater.

Quantity B is greater.

The two quantities are equal.

The relationship cannot be determined from the information given.