.Zach loves to play video games. He gets an allowance of $100 each month. He can downloadnew games to play for $5 each. He also likes to have snacks while he plays. In one month, whatis the maximum amount of video games can Zach buy and still have at least $40 left over tospend on snacks?

The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption.  P(terriers) = 85% is likely Option B

Generally, Probability is the area of mathematics that deals with providing numerical descriptions of the likelihood that an event will take place or the likelihood that a statement will be correct.

A number between 0 and 1 may be thought of as representing the chance of an event happening, with 0 indicating that the occurrence is impossible and 1 indicating that it will definitely happen.

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Answer:

The probability that the diagnosis is correct is 0.95249.

Step-by-step explanation:

We are given that the American Diabetes Association estimates that 8.3% of people in the United States have diabetes.

Suppose that a medical lab has developed a simple diagnostic test for diabetes that is 98% accurate for people who have the disease and 95% accurate for people who do not have it.

Let the probability that people in the United States have diabetes = P(D) = 0.083.

So, the probability that people in the United States do not have diabetes = P(D') = 1 - P(D) = 1 - 0.083 = 0.917

Also, let A = event that the diagnostic test is accurate

So, the probability that a simple diagnostic test for diabetes is accurate for people who have the disease = P(A/D) = 0.98

And the probability that a simple diagnostic test for diabetes is accurate for people who do not have the disease = P(A/D') = 0.95

Now, the probability that the diagnosis is correct is given by;

    Probability = P(D) \(\times\) P(A/D) + P(D') \(\times\) P(A/D')

                      = (0.083 \(\times\) 0.98) + (0.917 \(\times\)0.95)

                      = 0.08134 + 0.87115

                      = 0.95249

Hence, the probability that the diagnosis is correct is 0.95249.

The measure of the indicated arc angle is 134 degrees.

The angle subtended by the arc at the centre of the circle is the angle of the arc.

Therefore, the central angle of an arc is the angle at the centre of the circle between the two radii subtended by the arc.

Hence, the central angle is also known as the arc's angular distance.

Therefore, the measure of an arc is the measure of its central angle.

Hence, the measure of the indicated arc is 134 degrees.

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Answer:

True

Step-by-step explanation:

Square and rhombus are actually from the family of parallelorgam and a parallelogram has 2 set of sides.

I hope im right!

9514 1404 393

Answer:

  the correct choice is marked

Step-by-step explanation:

The denominators of the two fractions must be the same. To make that happen, Juan can multiply the second fraction by (x-2)/(x-2) -- the marked answer choice -- and multiply the first fraction by 3/3. These operations can be done in some order.

The offered choices suggest that treating the second fraction first is Juan's preferred choice.

Step-by-step explanation:

x = the total money she had first.

x - x×1/4 - (x - x×1/4)×1/2 = 15

you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.

now, we can simplify :

(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4

x×3/4 - x×3/4 × 1/2 = 15

x×3/4 - x×3/8 = 15

we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :

x×3×2 - x×3 = 120

6x - 3x = 120

3x = 120

x = $40

she had $40 at the beginning.

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

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To describe the number of vocabulary words that are understood by the first-graders is better to use the mode.

Based on this, the factor to be considered to know the number of words first-graders know is the mode because this is the most common number of words and the most accurate information.

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The numerical expression to model the number of miles Masha runs, walks, or jogs is 14.

Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.

The rule should state something along the lines of: "When simplifying, parentheses must be simplified first, followed by all exponents, all multiplication, and ultimately, all addition."

Based on the given conditions, formulate: 2 + 1 + 11

Calculate the sum or difference: 3 + 11

Calculate the sum or difference: 14

Therefore, the numerical expression to model the number of miles Masha runs, walks, or jogs is 14.

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The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

See image

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

As the lawn size increases by 4 the weight increases by 8

The ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)

The equation is given as:

y = 3^x

Let x = 0, 1 and 2

y = 3^0 = 1

y = 3^1 = 3

y = 3^2 = 9

So, we have the following ordered pairs (0,1), (1,3) and (2,9)

Hence, the ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)

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Answer:

315÷7=45

Lemon 45×4=180

Shaq 45×3=135

to check your answer you'll say

180+135 which will give back the total amount of bracelets which is 315

So Lemon collected 180 bracelets

It was fun helping you do your homework

Merry Christmas and come and help me too

Answer: 4/6 = 2/32/3 = 2/3

Step-by-step explanation: hope this help

Answer:

2m+7 = m-15

2m-m+7 = -15

1m = -15-7

1m = -22

m = -22

Answer:

A. Combination.

B. 17020

Step-by-step explanation:

A. Determination whether it is permutation or combination.

From the question given above, we were told that the student body of 185 students wants to elect two (2) representatives.

This is clearly combination because it involves a selecting process (i.e selecting 2 out of 185).

NOTE: Combination involves selecting while permutation involves arranging.

B. Determination of the combination.

Total number of people (n) = 185

Number of chosen people (r) = 2

Number of combination (ₙCᵣ) =?

ₙCᵣ = n! / (n – r)! r !

₁₈₅C₂ = 185! / (185 – 2)! 2!

₁₈₅C₂ = 185! / 183! 2!

₁₈₅C₂ = 185 × 184 × 183! / 183! 2!

₁₈₅C₂ = 185 × 184 / 2!

₁₈₅C₂ = 185 × 184 / 2 × 1

₁₈₅C₂ = 34040 / 2

₁₈₅C₂ = 17020

The inequality that describes the problem is C. 8x ≤ 16

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Since Kamari's Sweet Treats, cookies are packaged in boxes of 8 and the most a box can cost is $16. This will be:

8x ≤ 16

The correct option is C.

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The two relations to change the units of temperatueres are:

a) C = (5/9)*(F - 32°)

b) F = (9/5)*C + 32°

We start knowing that:

32°F = 0°C

212°F = 100°C

Taking the difference we can get the relation:

212°F - 32°F = 100°C - 0°C

180°F = 100°C

1.8°F = 1°C

(9/5)*F = 1°C

Then the relation to go from Farhenheit to Celcius is:

C = (5/9)*(F - 32°)

b) To get the other relation, we just need isolate F in the above one, so we get:

C = (5/9)*(F - 32°)

(9/5)*C = F - 32°

(9/5)*C + 32° = F

Then the other relation is:

F = (9/5)*C + 32°

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The two integers that are between -83 and +83 are -82 and +82.

What is integers ?

In mathematics, integers are a set of whole numbers that include positive numbers, negative numbers, and zero. Integers do not include fractional or decimal parts, they are the numbers in the set {..., -3, -2, -1, 0, 1, 2, 3, ...}. Integers are commonly used in many areas of mathematics, including arithmetic, algebra, and number theory.

There are multiple pairs of integers that are between -83 and 83.

Here are two examples:

-50 and 50: These are integers that are between -83 and 83. Any integer between -83 and -50, or between 50 and 83, is also between -83 and 83. We can represent this range on a number line as follows:

-83 -50 0 50 83

|----------------|----------------|----------------|----------------|

The integers between -83 and 83 are represented by the shaded portion of the number line.

-75 and 75: These are also integers that are between -83 and 83. Any integer between -83 and -75, or between 75 and 83, is also between -83 and 83. We can represent this range on a number line as follows:

-83 -75 0 75 83

|----------------|----------------|----------------|----------------|

The integers between -83 and 83 are represented by the shaded portion of the number line.

In general, any pair of integers that are equidistant from 0 and within a range of 83 from 0 will be between -83 and 83.

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Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Answer:

Step-by-step explanation:

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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Answer: 6$

Step-by-step explanation: 5 divided by 10 = 2$ so 3 x 2 = 6

I do not hold responsibility if you get it wrong :(

discretionary money remains per month will be $793.33.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, You earn $17.50/hr and work 40 hr/wk. Your deductions are FICA (7.65%), federal tax withholding (12.3%), and state tax withholding (6.2%).

Total income per week = 17.50 * 40

Total income per week = 700

Since, there are 4 weeks on a month,

Thus, monthly income will be = 700 * 4

monthly income will be = 2800

Since he wants to save 5 times the income per months

Thus,

Saved income = 2800 * 5

Saved income = 14,000$

He wants to save this amount of money over the period of 12 months

thus, every omnth he need to save = 14000/12

Every moths he needs to save = 1166.67

Your housing and fixed expenses are 30% of your realized income per month.

Thus, the fixed expenses = 30% * 2800

the fixed expenses = 840

So,

discretionary money remains per month = Total monthly income - fixed expenses - saving money

discretionary money remains per month = 2800- 840 - 1166.67

therefore, discretionary money remains per month will be $793.33.

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Answer:

126 hours. aka 5.25 days.

Step-by-step explanation:

168/ amount of time will leak until empty = 21

21 x 6 hours each time. :)