9. Reason abstractly. At the green grocer, Liam
bought three pounds of apples for $3.87, bananas
for $3, grapes for $2.23, and pears for $2.37. He has
$10. Will that be enough to pay for the fruit? Why
or why not?

It is important to conduct further research to determine the underlying causes of this phenomenon and to rule out alternative explanations.

The finding that more baseball players are hit with pitches on the hottest days of the season could be due to several reasons. One possible explanation is that the heat makes the pitchers more fatigued, which could lead to them losing control of their pitches and accidentally hitting batters. Another possibility is that the heat may make the ball more difficult to grip, which could affect the accuracy of the pitch.

However, it is also possible that this finding is simply a coincidence or the result of other factors. Therefore, it is important to conduct further research to determine the underlying causes of this phenomenon and to rule out alternative explanations.

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The percentage of red blood cells in a sample of human blood is typically around 45%.

Red blood cells, also known as erythrocytes, are the most abundant cells in human blood and play a crucial role in transporting oxygen to various tissues and organs. The percentage of red blood cells in a blood sample is referred to as the hematocrit.

In healthy individuals, the normal range for hematocrit is generally around 40% to 52% for males and 36% to 48% for females. This means that red blood cells make up approximately 40% to 52% (or 36% to 48% in females) of the total volume of blood.

Among the given answer choices, the closest percentage to the typical range for hematocrit is 45%. This value falls within the expected range and represents a reasonably accurate estimation of the percentage of red blood cells in a sample of human blood.

It's important to note that the percentage of red blood cells can vary depending on various factors, including age, sex, health conditions, and altitude. For example, individuals living at high altitudes may have a higher hematocrit due to the body's adaptation to lower oxygen levels. Conversely, certain medical conditions or diseases can cause deviations from the normal range.

Therefore, while the approximate value of 45% is a good estimation for the percentage of red blood cells in a sample of human blood, it's important to consider individual variations and consult medical professionals for accurate assessments in specific cases.

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The required probability that the total number of spots showing is less than 7 is 9.26%

The probability of an event is found by considering all possibilities that follow the given condition. The probability value cannot exceed the interval [0,1].

Three six-sided dice are rolled at the same time.

It is asked to calculate the probability that the total number of spots showing is less than 7.

If the die is rolled, possible outcomes are as given below.

S: {1, 2, 3, 4, 5, 6}

Number of elements in sample space, n(S) = 6.

Probability of any specific outcome from S = 1/6

If the three dice are rolled together, the total number of elements in the sample space will be \((6^3)\)

Then, the probability of getting any of any specific outcome from this sample will be given by: \(\frac{1}{6^3} =\frac{1}{216}\)

Find the total possibilities for which the total of outcomes of all three dice is less than 7. It is possible when we get the following outcomes.

The minimum total that we get is 3 with outcomes (1,1,1) on three dice.

For a total of 3:

Possible outcomes: [1, 1, 1]

The number of possibilities \(A_1=1\)

For total 4:

Possible outcomes: [1,1,2], [1,2,1], [2, 1, 1]

Number of possibilities \(A_2=3\)

For a total of 5:

Possible outcomes:  [1,1,3], [1,3,1], [3, 1, 1],  [1,2,2], [2,2,1], [2, 1, 2]

The number of possibilities \(A_3=6\)

For a total of 6:

Possible outcomes :  [1,1,4], [1,4,1], [4, 1, 1],[1, 2, 3] ,[1,3,2],[2, 3, 1], [3,2,1], [3, 1, 2],[2,1,3], [2, ,2 ,2]

The number of possibilities : \(A_4=10\)

The number of possibilities for which the total number of spots showing is less than 7 is given by,

\(A_1+A_2+A_3+A_4\)

=> 1+ 3+ 6+ 10

=> 20

The probability that the total number of spots showing are less than 7 is calculated below.

P = 20/216

P = 0.0926

P = 9.26%

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The given question is incomplete, complete question is:

Explain how to solve this problem:

You have three six-sided dice. When all three dice are rolled at the same time, calculate the probability of the following outcomes:

a. The total number of spots showing is less than 7

In Analysis of variance,  X (bar) is not affected by whether or not the population means are equal.

Analysis of variance  is a statistical method for examining differences in means. It consists of a number of statistical models and the accompanying estimating techniques (such as the "variation" within and between groups). Ronald Fisher, a statistician, created Analysis of variance. The rule of total variance, on which the Analysis of variance is based, divides the observed variance in a given variable into components owing to various causes of variation.

ANOVA generalizes the t-test beyond two means by offering a statistical test to determine if two or more population means are equal. In other words, the Analysis of variance is employed to determine whether two or more means differ from one another.

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  +-----------+

  |           |

2/3|           |

  |           |

  +-----------+

    1 1/4

To find the area of this shape, we need to multiply the length and width together. However, since the length is a mixed number, we first need to convert it to an improper fraction. To do this, we multiply the whole number (1) by the denominator (4) and add the numerator (1), giving us 5/4.

Now we can multiply the length (5/4) by the width (2/3) to get the area of the rectangle:

Area = Length x Width

Area = 5/4 x 2/3

Area = 10/12

Area = 5/6

Therefore, the area of this rectangle is 5/6 square units.

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Given the size of the pizza and the size of each person's portion, the number of people that shared the pizza is 7

Given the data in the question;

First, We convert the mixed fraction into an improper fraction

4 2/3 = (4×3 + 2 )/3 = 14/3

To determine the number of people that shared the pizza, we simply divide the size of the pizza by the size each person's portion.

Number of people that shared the pizza = 14/3 ÷ 2/3

Number of people that shared the pizza = 14/3 × 3/2

Number of people that shared the pizza = ( 14 × 3 ) / ( 3 × 2 )

Number of people that shared the pizza = 42 / 6

Number of people that shared the pizza = 7

Given the size of the pizza and the size of each person's portion, the number of people that shared the pizza is 7

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0.38 is 7/18 (filling space)

Answer:

0.388888889

Step-by-step explanation:

If you circle a phrase in your notes and draw an arrow to related material on the same page, you are drawing a connecting annotation or a linking arrow.

If you circle a phrase in your notes and draw an arrow to related material on the same page, you are creating a connecting annotation or a linking arrow. This technique helps establish a visual connection between the circled phrase and additional relevant information nearby.

It serves to highlight the relationship between different parts of your notes, allowing for easier comprehension and recall. By visually linking related content, you can quickly navigate and understand the connections within your notes, aiding in better organization and synthesis of information.

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Answer:

The answer to this is False, False, True.

Step-by-step explanation:

A is false because WAU is an obstute angle, which can't be 55 degree.

B is flase because YAU is actually the angle that is 55 degree, not 35 degree.

C is true because WAX is congruent to YAU and it is 55 degree.

In a recent poll, 64% of the respondents supported stricter gun laws is statistic.

What is an example of a parameter?

What is an example of a population parameter?

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The probability of a person dying of renal failure if neither of their parents had renal failure is 0.056 or about 5.6%.

To solve this problem, we can use Bayes' theorem, which states that:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this case, we want to find the probability of a person dying of renal failure given that neither of their parents had renal failure. Let's define the following events:

R: death due to renal failure

P: at least one parent with renal failure

NP: neither parent has renal failure

We are given the following information:

Total deaths = 1000

Deaths due to renal failure (R) = 321

People with at least one parent with renal failure (P) = 460

Deaths due to renal failure among people with at least one parent with renal failure = 115

Using this information, we can calculate the probabilities as follows:

P(R) = 321/1000

P(P) = 460/1000

P(R|P) = 115/460

To find the probability of a person dying of renal failure given that neither of their parents had renal failure (i.e., P(R|NP)), we need to use Bayes' theorem. We can start by finding the probability of neither parent having renal failure (i.e., P(NP)):

P(NP) = 1 - P(P) = 1 - 0.46 = 0.54

Next, we can use the law of total probability to find the probability of dying of renal failure among people with neither parent having renal failure:

P(R|NP) = P(R) * P(NP|R) / P(NP)

We can find P(NP|R) using the formula:

P(NP|R) = P(NP ∩ R) / P(R)

To find P(NP ∩ R), we can use the formula:

P(NP ∩ R) = P(R|NP) * P(NP)

Substituting the values, we get:

P(R|NP) = P(R) * P(NP|R) / P(NP)

= 321/1000 * (1 - 115/460) / 0.54

= 0.056

This calculation shows how conditional probabilities can be calculated using Bayes' theorem and the law of total probability.

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Answer:

Who hurt you?

Step-by-step explanation:

Answer:

im... taken....

Answer: x = 3

Step-by-step explanation:

I guess that the equation is:

(45 - 3x)^1/2 = x - 9

so let's solve it for x.

first, we can square both sides:

(45 - 3x) = (x - 9)^2 = x^2 - 18x + 81

now we can write this as a quadratic equation:

x^2 - 18x + 81 - 45 + 3x = 0

x^2 -15x + 36 = 0

now we can use the Bhaskara's equation to find the solutions for that equation:

where for a equation a*x^2 + b*x + c = 0

the solutions are:

\(x = \frac{-b +- \sqrt[2]{b^2 -4ac} }{2a}\)

here a = 1, b = -15 and c = 36

\(x = \frac{15 +- \sqrt[2]{15^2 -4*36} }{2} = \frac{15+- 9}{2}\)

then the solutions are:

x = (15 + 9)/2 = 24/2 = 12

x = (15 - 9)/2 = 6/2 = 3

where 12 is the solution for the positive (45 - 3x)^1/2 and x = 3 is the extraneous solution (because it works for the negative  (45 - 3x)^1/2)

Answer:

3

Step-by-step explanation:

Answer:

1. 3/7

2.6/10

3.17/12

4.41/42

5.4/10

6.10/7

hopefully this helped :)

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The ratio of SR and ML and ratio of ST , MN are equal ,so they are similar triangles .

What is triangle ?

Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.

In given two triangles,

RST and NLM

In the triangle RST ,

The sum of angles is 180

so,

44  + 15 + S = 180

S =   180 - 59

S = 121

And similarly in the triangle NLM,

N + 121 + 44 = 180

N = 180 - 165

N = 15

Therefore, The values of given angles S and N are 121 , 15 respectively

SR / ML  = 3.61 / 5.415 = 0.667
ST / MN = 9.71 / 14.565 = 0.667

Hence, The ratio of SR and ML and ratio of ST , MN are equal ,so they are similar triangles .

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Answer:

Step-by-step explanation:

Simplify it. -16d-16=-20.

Add 16 to both sides. -16d=-4

Divide 16 by both sides.

d=1/4

Answer:

The slope is -5

Step-by-step explanation:

(0,1)&(1,-4)

m=y²-y¹/x²-x¹

m=(-4)-1/1-0

m-5/1

m=-5

Warren ran 10 km in 60 minutes or 1 hour.

Proportionality is a case when two ratios are equal.

Given that Warren runs for charity, so, he runs for a hospital a 5-kilometer race in 30 minutes, on the same rate he ran a 10-kilometer race to support the animal shelter.

We need to find the time taken by him when he ran 10 km race.

Since, the rate of running is same, that means the speed was equal in both races,

Let t be the required time,

Therefore, using the concept of proportionality,

5 / 30 = 10 / t

5t = 300

t = 60

Therefore, he ran 10 km in 60 minutes or 1 hour.

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To factorize the expression 2x3 + 5x2 + 6x + 15, we can look for common factors: 2x3 + 5x2 + 6x + 15 = x2(2x + 5) + 3(2x + 5) = (x2 + 3)(2x + 5)

Therefore, option C (x2 + 3)(2x + 5) is equivalent to the given expression.

To solve the problem, we need to factorize the given expression and compare it with the given options to find the equivalent expression.

The given expression is:

2x3 + 5x2 + 6x + 15

To factorize it, we can look for common factors:

2x3 + 5x2 + 6x + 15 = x2(2x + 5) + 3(2x + 5)

Now we can see that (2x + 5) is a common factor. Factoring it out, we get:

2x3 + 5x2 + 6x + 15 = (2x + 5)(x2 + 3)

Complete Question Below:

2x3 + 5x2 + 6x + 15

Which of the following is equivalent to the expression above?

A. (x + 3)(2x2 + 5)

B. (x + 5)(2x2 + 3)

C. (x2 + 3)(2x + 5)

D. (x2 + 5)(2x + 3)

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Given that the total length of the ribbon on the roll is 5 yards.

Janet cuts 1 (1/3) yards of ribbon from the roll, then the remaining length of ribbon on the roll is calculated as,

Thus, the length of the ribbon left on the roll is 3 (2/3) yards.

So the second option is the correct choice.

Answer:

slope = -3

Step-by-step explanation:

slope is: (delta y)/(delta x)

so slope = (15-3)/(0-4)

               = -3

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: \(-4\frac{1}{2}\). Substitute \(-4\frac{1}{2}\) for x and 10 for y in the equation, then solve:  

\(y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10\)

10 does equal 10, so this is a true statement. Option C is the right answer.

Surface area of cuboid  is = 312 ,With dedication and effort, you can succeed in your geometry test and feel confident about your understanding of the subject.

Surface area of a cuboid is = 2lw + 2lh + 2 hw

where ; l= length

w= width.

h = height

= 2(10×6)+2(10×6)+2(6×6)

=2(60)+2(60)+2(36)

=120+120+72

=312

Geometry can be challenging, but with the right mindset and approach, you can do well. To start, make sure you understand the basic concepts and definitions.

Then, practice solving problems and applying those concepts. Don't be afraid to ask questions or seek help when you need it. Utilize resources such as textbooks, online tutorials, and practice worksheets.

Also, try to relate geometry to real-life situations to make it more interesting and relevant. Remember to take breaks and stay organized to avoid feeling overwhelmed.

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Step-by-step explanation:

By Pythagoras' Theorem, the sum of squares of the side lengths of a right-angled triangle is the square of its hypotenuse.

In Question 11, 2^2 + 1^2 = a^2. a = √5.

In Question 12, 2^2 - 1^2 = b^2. b = √3.

The required amount that Ethan have to pay is $32.

A sales discount is a marked down cost presented by a business on an item or administration. Figure out how to remember limits for solicitations. A deals rebate, likewise usually known as only a 'markdown' furnishes clients of a business with a diminished rate on at least one of the items or administrations being advertised.

We have,

Selling price = $39.99

Discount = 20%

20% of $39.99 = 20×$39.99/100

⇒ $7.99

So the payable amount for video game = $39.99 - $7.99

⇒ $32

Thus, required price is $32.

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Answer:

Your answer would be 8.

Step-by-step explanation:

3 + 2 = 5

5 - 1 = 4

4 + 4 = 8

The value of x and y in the right triangle are as follows:

x = 15√3 units

y = 30 units

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles of a right angle triangle is 180 degrees.

The side x and y can be found using trigonometric ratios,

tan 60° = opposite / adjacent

tan 60° = x / 15

cross multiply

x = 15 tan 60°

x = 15 × √3

x = 15√3 units

Let's find y as follows:

cos 60° = adjacent / hypotenuse

cos 60° = 15 / y

cross multiply

y = 15 / cos 60

y = 15 ÷ 1 / 2

y = 15(2)

y = 30 units

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9514 1404 393

Answer:

Step-by-step explanation:

It can work well to factor the leading coefficient from the x-terms.

  5(x² -8x) +60

Now, add the square of half the x-coefficient inside parentheses, and subtract the same amount outside parentheses.

  5(x² -8x +16) +60 -(5)(16)

  5(x -4)² -20 . . . . write as a square, simplify the added constant

The vertex form is ...

  5(x -4)² -20

It shows you the vertex is (4, -20). This is the turning point.

_____

Vertex form is a(x -h)² +k, where (h, k) is the vertex.

The theme of each epic poem is sublime, elegant, and has universal significance. It may not be an insignificant theme, which is only limited to the personality or the locality of the poet. It deals with the entire humanity.

Epic poem

An epic poem, or simply an epic, is a lengthy narrative poem typically about the extraordinary deeds of extraordinary characters who, in dealings with gods or other superhuman forces, gave shape to the verse mortal universe their descendants.

'epic' could refer to all poetry in dactylic hexameter , which included not only Homer but also the wisdom poetry of Hesiod, the utterances of the Delphic oracle.

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