Which property justifies the following statement? If 3 ● m∠Q − 17 = 30, then 3 ● m∠Q = 47.

Final answer:

Explanation of the probabilities of choosing two vowels and two consonants from the English alphabet without replacement.

Explanation:

The probability of choosing two vowels:

There are 5 vowels in the English alphabet: a, e, i, o, u.

The total number of ways to choose 2 letters out of 26 is C(26, 2) = 325.

The number of ways to choose 2 vowels out of 5 is C(5, 2) = 10.

Therefore, the probability of choosing 2 vowels is 10/325 = 2/65.

The probability of choosing two consonants:

The total number of ways to choose 2 consonants out of the remaining 21 letters is C(21, 2) = 210.

Therefore, the probability of choosing 2 consonants is 210/325 = 42/65.

-4 + 3/2=

Exact Form:

-5/2

Decimal Form:

-2.5

Mixed Number Form:

-2  1/2

Answer:

[tex]\frac{-5}{2}[/tex], [tex]-2\frac{1}{2}[/tex], -2.5

Step-by-step explanation:

So what we want to do is get both of the numbers into the appropriate fraction. So we already have 2 as a fraction so lets just convert -4 into fraction form with a denominator as 2.

[tex]-4+\frac{3}{2}[/tex]

-4 in fraction form is [tex]\frac{-8}{2}[/tex]

We can determine that it is in the right fraction form as if you divide -8 by 2, you would get -4 as the answer so...

[tex]-4 = \frac{-8}{2}[/tex]

Now rewrite the equation now

[tex]\frac{-8}{2} + \frac{3}{2}[/tex]

Now simplify

-8 + 3 = -5

[tex]\frac{-8}{2} + \frac{3}{2}[/tex][tex]= \frac{-5}{2}[/tex]

-5/2

This can be simplified to [tex]-2\frac{1}{2}[/tex]

Or to the decimal form which is -2.5

Answer:

no solution :)

Step-by-step explanation:

Answer:

option: A is correct.

Step-by-step explanation:

We are asked to find the average number of pizzas sold in one night if no coupons are issued.

i.e. we have to find the value of y such that x=0 i.e. no coupon was issued.

We are given a equation which represents the linear model for this data:

y = 3.4x + 43

where y denotes the average number of pizza sold and x denotes the number of coupons issued.

Hence when x=0 we have value of y from the above linear equation as:

y=3.4×0+43=0+43=43

i.e. y=43.

Hence, average number of pizzas sold in one night if no coupons are issued are 43.

Answer:

1.

Q: What is the purpose of a scatter plot?

A: B. To help visualize the relationship between two types of data.

2.

Q: What is Microsoft Excel particularly well-suited for?

A: D. organizing data

3.

Q: Which type of data is presented on the y-axis?

A: B. Credit card debt

4.

Q: How many people are presented on the scatter plot?

A: C. 13

5.

Q: Which of the following choices could be the approximate coordinates for the oldest person on the scatter plot?

A: A. (58, $7,800)

Just took it! 5/5 100%

Credit card debt is the type of data is presented on the y-axis

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We need to find the type of data presented on the y axis.

The given graph is a scatter plot.

A scatter plot uses dots to represent values for two different numeric variables.

The vertical line in the graph represents the y axis.

The horizontal line in the graph represents the x - axis.

In the given graph, the age is represented in the x axis and credit card debit is represented on the y-axis.

Hence, Credit card debt is the type of data is presented on the y-axis

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By separating between whole numbers and fractions, we will see that the sum is equal to 2 + 11/12.

Here we want to perform the sum:

(3 + 1/3) + (-2 - 1/4) + (1 + 5/6)

We separate between whole and fractions, so we get:

(3 - 2 + 1) + (1/3 - 1/4 + 5/6)

The left part is easy: 3 - 2 + 1 = 2

The right part needs to find a common denominator, we will use 12.

1/3 - 1/4 + 5/6 = 4/12 - 3/12 + 10/12 = 11/12

Then the sum is:

(3 + 1/3) + (-2 - 1/4) + (1 + 5/6) = 2 + 11/12

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Answer:

The rate of change is obviously that term that describe the change over a certain period. In this problem, we are given with the condition that LaToya is able to burn 20 calories per minute. Therefore, the rate of change is 20 calories per minute.  

Step-by-step explanation:

As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:

Thus, the function which models the data is the [tex]nc=12[/tex].

Now, let us move on to the next part of the question:

If 12 students go on the trip then the cost per student as per this model will be:

[tex]\frac{72}{12}=6[/tex] dollars=$6

Therefore, out of the given options, the option the correct option is number B.

Answer:

nc=72,6$

Step-by-step explanation:

The consecutive numbers where the square root of 147 will lie are between 12 and 13.

Consecutive numbers simply mean the numbers that follow each other. Examples of consecutive numbers are 2,3, 4.

It should be noted that the square root of 147 is 12.12. Therefore, 12.12 can be found between 12 and 13. In conclusion, the numbers will be 12 and 13.

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Option: (D). The Probability that an oatmeal is randomly selected is 2/5.

What is Probability?

Probability is Possibility. Probability deals with" an occurrence of an Random event. It values varies from 0 to 1".

According to the question,

Number of vanilla = 6

Number of chocolate = 12

Number of Oatmeal = 12

Formula for Probability of an event to occur P(E) = [tex]\frac{Number of favourable event}{Total Number of an event}[/tex]T.

Total number of an Outcomes = 30

P(E) = [tex]\frac{12}{30}[/tex]

=[tex]\frac{2}{5}[/tex]

Hence, The Probability that an oatmeal is randomly selected is 2/5.

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The probability of selecting an oatmeal cookie from a bag of 30 cookies (6 vanilla, 12 chocolate, and 12 oatmeal) is 2/5, which is answer choice D.

The student's question involves calculating the probability of selecting an oatmeal cookie from a bag containing multiple types of cookies. The total number of cookies is 30, comprising 6 vanilla, 12 chocolate, and 12 oatmeal cookies. To find the probability of selecting an oatmeal cookie, we use the formula:

Probability (selecting an oatmeal cookie) = Number of oatmeal cookies / Total number of cookies.

This gives us:

Probability (selecting an oatmeal cookie) = 12 / 30 = 2 / 5

So, the probability that an oatmeal cookie is randomly selected is 2/5, which corresponds to answer choice D.

Answer:

Mike spent $150 on his decorations.

Step-by-step explanation:

In order to find the amount of money Mike spent on his decorations you must add all the costs together.

$41.64 + $36.84= $78.48

$78.48 + $72.49= $150.97

Then you round 150.97 to 151, which is also close to 150.

Hope this helps :)

Answer:

√3/2

Step-by-step explanation:

Here the total amount of the juice is 24 ounces. Diego poured equal amounts to his three friends. But that equal amount is unknown. Then he add 6 to each that is represented by x +6. Hence, the x is the initial amount poured to each three friends.

A polynomial expression is composed of some coefficients and indeterminants that involves basic basic arithmetic operations. Where the indeterminants or unknowns are basically represented by the letters x or y.

Here, Diego has 24 ounces of juice. He pours equal amounts of juice to his three friends. The mount he poured to each friends is unknown here. Hence, let it be x.

Then, he added 6 more ounces to each these x quantity that is represented by x + 6. Now, 3 friends have this x + 6 ounces of juice then total equals 24.

i.e, 3 (x + 6) = 24

3x +18 = 6

3x = 24- 18 = 6

x = 6/3 = 2.

Hence, here, x represents that Diego poured initially to each friends before adding 6 more ounce.

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Final answer:

In the story problem, x represents the initial amount of juice in ounces (2 ounces) that Diego pours for each of his three friends before adding an additional six ounces to each.

Explanation:

In the given story problem, x represents the initial amount of juice in ounces that Diego pours for each of his three friends before adding six more ounces to each. To understand what x represents, let's explore the equation 3(x + 6) = 24. This equation tells us that Diego has 24 ounces of juice in total, which is then divided equally among his three friends and after the division, he adds six more ounces to each friend's portion.

Now, if we follow the equation 3(x + 6) = 24 and solve for x, we find that:

This means that Diego initially pours 2 ounces for each friend and then adds 6 ounces to each, totaling 8 ounces for each friend.

Answer:

The terms apply to the given shape are pentagon, irregular polygon and convex polygon.

Step-by-step explanation:

A polygon which have 5 sides called pentagon and if these sides are unequal then it is irregular pentagon or we can say irregular polygon.

A convex polygon is defined as a polygon with all its interior angles less than 180°.

Hence, the terms apply to the given shape are pentagon, irregular polygon and convex polygon.

Answer: Your answer is

convex, pentagon, irregular polygon.

Hope this helps!!! Trust me it's right I got mine right!!

Answer:

increase by a factor of two

Step-by-step explanation:

Given that dimension of a parallelogram are increased by a factor of 2.

Let the sides of the parallelogram be l and w.

Then perimeter = 2(l+w)

When each side is increased by a scale factor of 2, we get new dimensions as

2l and 2w

Hence new perimeter = 2(2l+2w) = 4(l+w)

= twice as old perimeter

Hence increase by a factor of two

Final answer:

The recipe calls for 1 1/4 cups of strawberries, which is equivalent to 5/4 cups when written as an improper fraction.

Explanation:

The question asks, "How many cups of strawberries, written as a fraction greater than one, are used in the recipe?" The recipe calls for 1 1/4 cups of strawberries. This quantity is already given in the form of a mixed number, which combines a whole number (1) and a fraction (1/4). To write it as a fraction greater than one, which is also called an improper fraction, you multiply the whole number by the denominator of the fraction and then add the numerator of the fraction. So, the calculation would be (1 × 4) + 1 = 5, making the fraction 5/4. Therefore, the recipe uses 5/4 cups of strawberries written as an improper fraction.