Ms. Francis is planning a birthday party for her daughter. There will be 22 children at the party, and in order to seat them all she needs to rent square card tables. Only 1 child can sit at each side of a card table.

Ms. Francis wants to arrange the tables in a rectangular shape so they look like one large table. The room is large enough that

the rectangle can be made with more than one row of tables.

Part A: How many different arrangements can Ms. Francis make to seat all 22 children?

Part B: What is the smallest number of tables that Ms. Francis needs to rent?

DIRECTIONS: To solve the problem, apply the steps of the Mathematical Problem-Solving Routine.

Understand

1. Try to visualize the situation. Consider drawing a diagram

2. State the problem in your own words.

3. What is the important information in the problem?

Plan

4. What strategy will you use to solve the problem? Why?​

Answer: It's just a line

Step-by-step explanation:

A) In the event of a power loss, the possibility of both generators failing is 0.1225.

B) (i) In the case of a power outage, having a functioning generator may be anticipated 87.75% of the time.

(ii) During a power outage, it may be anticipated that both generators will malfunction roughly 12.25% of the time.

Probability: The probability of an occurrence is defined as the ratio between the number of positive outcomes to a certain event and the entire number of potential outcomes.

Complementary Events: When event A is specified, the complement of that event A does not take place.

Union of two events: The term "union of two events" refers to the collection of outcomes that are either related to both occurrences or one of the two events.

The intersection of two events: The intersection of two events refers to the group of results that are related to both occurrences.

Independent Events: If the occurrence of one event does not influence the occurrence of another event, then two occurrences A and B are said to be independent events. To put it another way, if the occurrence of event A has no bearing on the occurrence of event B, then the two occurrences A and B are independent.

A) The likelihood that both generators would malfunction during a power outage is calculated as follows:

According to the data provided, emergency backup generators malfunction 35% of the time when they are required. The probability value is 0.35 in this case.

The required probability is,

P⎝|⎛​Bothgeneratorsfailduringapoweroutage​⎠|⎞​

= ⎣⎡​P(Firstgeneratorfail) × P(Secondgeneratorfail)​⎦ |⎤​

= 0.35 × 0.35 = 0.1225

When there is a power outage, the likelihood that both generators will fail is calculated by multiplying the likelihood that the first and second generators will fail. During a power outage, the failure of both generators may be anticipated roughly 12.25% of the time.

B) (i) The likelihood of having a functional generator during a power outage is calculated as indicated below:

The required probability is,

P⎝|⎛​Workinggeneratorintheeventofapoweroutage​⎠|⎞​

= 1−P⎝|⎛​Bothgeneratorsfailduringapoweroutage​⎠|⎞​ =

1−0.1225 = 0.8775

The likelihood that a generator will operate in the case of a power loss is calculated by deducting the likelihood that both generators would malfunction from the overall likelihood. In the case of a power outage, having a functioning generator may be anticipated 87.75% of the time.

(ii) The likelihood that a patient will require hospitalization or not is determined as follows:

When there is a power outage, there is a 12.25% chance that both generators will malfunction; this means that they will malfunction roughly 10% of the time.

It is obvious that it is possible to anticipate that during a power outage, both generators will fail roughly 12.25% of the time, suggesting that this probability is low enough to not have an effect on patients' health.

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The value of 400 when it is divided by 10 will be 40.

Division is the one of the four fundamental arithmetic operations. The other operations include multiplication, addition, and subtraction.

It is denoted by " ÷ " sign

For example: 4 ÷ 2 = 2,  18 ÷ 6 = 3, 50 ÷ 1 = 50, 40 ÷ 4 = 10, 66 ÷ 3 = 22, 999 ÷ 9 = 111 or 90 ÷ 3 = 30

The division will be calculated as below:-

We will divide 400 by 10 to obtain the required value.

Division = 400 ÷ 10

Division = 40

Therefore, the value of 400 when it is divided by 10 will be 40.

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Your question was incomplete. Please refer the content below:

Use the divided by 10 pattern to fill in the blank:

400

Answer:

(f-g)=3x-7

Step-by-step explanation:

First find f-g

4x-3 - x+4

This becomes 3x-7

The equation (2/5)*a - (3/4)*b = c solved for the variable a is:

a = (5/2)*(c + (3/4)*b)

Here we have the equation:

(2/5)*a - (3/4)*b = c

Where a, b, and c are variables.

Here we want to solve this equation for the variable a, this means that we need to isolate that variable in one side of the equation, so let's do that.

First, we need to remove the other term, then we can add its opposite in both sides of the equation so we get:

(2/5)*a - (3/4)*b + (3/4)*b = c + (3/4)*b

(2/5)*a = c + (3/4)*b

Now we need to remove the factor that multiplies the variable, we can do that by multiplying both sides of the equation by its inverse, whic is 5/2, if we do that we will get:

(5/2)*(2/5)*a = (5/2)*(c + (3/4)*b)

a = (5/2)*(c + (3/4)*b)

This is the equation solved for the variable a.

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Answer:

31) C, D, F
32) B
33) A, F
34) D, E
35) D

Step-by-step explanation:

Adjacent angles are angles that share the common vertex and side.
Vertical Angles are angles that are opposite of each other.
Complementary Angles are angles that equal to 90°
Supplementary Angles are angles that equal to 180°
A Linear Pair are 2 angles that make up a straight line.

Answer:

The distance is 10

Step-by-step explanation:

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Work below!

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This ratio is simply doubled. Here's how I did it:

8 / 4 = 2, so it's multiplied by 2.

1 x 2 = 2, therefore the answer is 8:2!

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Hope this helped! :)

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~pinetreee

Answer:

4

Step-by-step explanation:

2*2=4

Hope this helps!

:)

Answer: Monke.

Step-by-step explanation:

get good.

Step-by-step explanation:

The percent of them that live without clean drinking water is; 14.5%

We know from scientific notation that;

1 billion = 1 * 10⁹

Now, we are told that there are 6.9 * 10⁹ people in the world. Thus, if almost a billion people on the planet don't have access to clean drinking water, then the percent of them that live without clean drinking water is;

(1 * 10⁹)/(6.9 * 10⁹) * 100%

= 14.5%

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If P||Q and T is a transversal, then ∠1=∠5 can be justified through Corresponding angle postulate. Thus, correct option is option A.

The Corresponding angle postulate states that if two lines are drawn on plane which are parallel to each other and dissected by a line passing through them at any angle then the corresponding angle of both the parallel lines will be equal to each other and hence would be congruent.

Here, P||Q and P and Q are dissected by the line T at some angle therefore to prove that ∠1=∠5 we go by the following steps:

∠4=∠5 as they are alternate interior angles.

and ∠1=∠4 as they are vertically opposite angles.

Thus, ∠1=∠5 and they are corresponding angles.

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Answer:A is the answer

Step-by-step explanation: I took the test and got it right!

The expression is evaluated to give 58/ 4, fifty-eight fourths. Option C

From the information given, we have the deduction;

[tex]\frac{\sqrt{36}* 3^2 - \sqrt[3]{-64} }{2^2}[/tex]

Simply the expression;

√36 = 6

3² = 9

∛-64 = -4

2² = 4

Substitute the values into the expression

⇒ 6 × 9 - (-4)/ 4

Use the BODMAS rule, multiply first

⇒ 54 + 4/ 4

Add the numerators

⇒ 58/ 4

Thus, the expression is evaluated to give 58/ 4, fifty-eight fourths. Option C

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Answer:

58 over 4

Step-by-step explanation:

The derivation by definition of f(x) = x, that is, f'(x) = 1, is found in this problem.

The derivative is given by:

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{f(x + h) - f(x)}{h}[/tex]

For this problem, we have that:

Hence:

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{x + h - x}{h}[/tex]

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{h}{h}[/tex]

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} 1[/tex]

The limit of a constant is the constant, hence f'(x) = 1.

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Answer:

Relation

Step-by-step explanation:

This is what I think

Answer:

"Margaret is at a birthday store. She wants to buy 3 candles and 2 balloons. She then realizes that she wants to throw an even bigger surprise party, so she buys 6 fold of her original items. How many candles and balloons did she buy in split amounts?"

Using the mean concept, it is found that due to the highest average, Priya should go to the championship.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

Each of the girls had 6 jumps, and their means all given as follows:

Due to the highest average, Priya should go to the championship.

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Answer:

LCM is 16

Step-by-step explanation:

2/3 - 1/2

There's something called whole fraction whereby the fractions should be multiplied to get the LCM 6

Here We Go!

2/2*2/3 - 3/3*1/2

The denominators are 2 and 3 and when multiplied. The above fraction will still give you the LCM to be 6

Eight amount is required to make various bracelets.

A quantity, the total of two or more quantities, or an amount is generally used. When calculating the total amount of money after applying interest (either simple or compound), we typically use the term "amount" in mathematics.

the total is equal to the sum of the principal and interest.

According to the above statement,

Given,

Jeweler's 36-inch silver chain is available.

She needs five times as much, or 5 x 36, to make some necklaces.

To create some bracelets, she will require three times that much,

3×36

=108

Length of a silver chain =36 inches

Total chain required=(180+108)÷36

=288÷36

=8

Therefore he needs 8 chains to make necklace and bracelets.

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The  red-shaded part represents the fraction 2/7.

We are given an image of circle in the question which has 7 equal parts with two parts shaded red and the other five shaded white.

We have to find the fraction that represents the red shaded part of the circle.

A fraction defined as the part of the whole thing. For example, a pizza is divided into 6 equal pieces, then each piece is represented by 1/6.

We know that,

Fraction of red shaded part = Number of red parts/ Total number of parts

Here,

Number of red parts = 2

Total number of parts = 7

Hence,

Fraction of red shaded part = 2/7

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Answer: True!

Hope this helps!

If  we paint a 4 x 4 x 4 cube blue on every side then we will get 8 small cubes having 3 blue faces, 16 cubes having 2 blue faces, 24 cubes with 1 blue face, 6 faces would be painted in a cube of any size and 8 cubes have not been painted at all.

Corner cubes are the only ones with 3 faces, whereas a cube has 8 corners. There are therefore 8 cubes with 3 blue faces.

Each of the 16 cubes has 2 blue faces. These are the cubes found between the sides' corners.

The 4 center cubes have only 1 side painted. Because each side has six sides and four center cubes, 6 x 4 = 24. As a result, 24 cubes have 1 blue face.

Because a cube has 6 faces, every size cube will have at least 6 colored faces.

On the inside of the larger cube, there are exactly 8 cubes. As a result, 8 cubes have been left unpainted.

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Option c: The following should be followed to the target market for a travel agency service

profile target customer segment, identify business needs, total segment market, research and validate marketing opportunity.

A target market is a group of people identified as the most likely potential customers for a product because of their shared characteristics such as age, income, and lifestyle. Identifying the target market is a vital part of the decision-making process when a company designs, packages, and advertises its product.

Marketing professionals divide consumers into four major segments:

Demographic: These are the main characteristics that define your target market. Everyone can be identified as belonging to a specific age group, income level, gender, occupation, and education level.

Geographic: This segment is increasingly relevant in the era of globalization. Regional preferences need to be taken into account.

Psychographic: This segment goes beyond the basics of demographics to consider lifestyle, attitudes, interests, and values.

Behavioral: This is the one segment that relies on research into the decisions of a company's current customers. New products may be introduced based on research into the proven appeal of past products.

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Answer:

3.35

Step-by-step explanation:

mark me brainliest pls

Step-by-step explanation:

First one is 4,713,354

And for the second one I'm just going to assume that the sum of those 2 numbers on the right side is the answer.

So 1,377,136 for bottom one.

Answer:

B.

Step-by-step explanation:

Because predict basically means to guess. So B. is saying "I guess my dad will make a healthy dinner - he does every other night!"

Answer:

B. I predict my dad will make a healthy dinner - he does every other night!

Step-by-step explanation:

Predict meaning is to estimate or believe something will happen, In answer b it makes the statement that the dad makes dinner every other night so it would be a good prediction to assume that he will be fixing a healthy dinner again.

hopefully this helps you !

We are given a linear function:

f(x) = 2 x + 3

We are also given the domain of the function as:

Domain = (-4, 5)

We need to find the range of the function and draw its graph.

For x = -4, the value of function will be:

f( -4) = 2 (-4) + 3

f( -4) = - 8 + 3

f( -4) = - 5

For x = 5, the value of function will be:

f( 5) = 2 (5) + 3

f( 5) = 10 + 3

f( 5) = 13

So, the range will become:

( -5, 13)

The graph of the function with points:

x        y

1        5

2       7

3       9

Therefore, we get that, the range of the function f(x) = 2 x + 3 will be ( -5, 13).

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