Graph the line with a slope of −1 that contains the point (3,6).

We can see that there are a total of 3 games that fall into the 51-57 category (games 1, 5, and 8). Therefore, the answer to the question is D. 3 games were in the 51-57 category. The correct option is D.

To solve this problem, we need to first determine which category each game falls into based on the given categories.
Game 1: 51 points - falls into the 51-57 category
Game 2: 70 points - falls into the 72 or more category
Game 3: 63 points - falls into the 58-64 category
Game 4: 59 points - falls into the 58-64 category
Game 5: 56 points - falls into the 51-57 category
Game 6: 75 points - falls into the 72 or more category
Game 7: 60 points - falls into the 58-64 category
Game 8: 55 points - falls into the 51-57 category
Game 9: 67 points - falls into the 65-71 category
Game 10: 64 points - falls into the 58-64 category
Now, we can see that there are a total of 3 games that fall into the 51-57 category (games 1, 5, and 8). Therefore, the answer to the question is D. 3 games were in the 51-57 category.
It's important to note that categorizing the data in this way is helpful for analyzing trends and patterns in the team's scoring over time, but it does not provide a complete picture of the team's performance in each game.

It's also worth considering other factors such as the team's opponents, the location of the game, and any injuries or other circumstances that may have affected the outcome.

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Answer:

this is the answer:

Step-by-step explanation:

Hope it helps:

The number of ways to draw the socks in each case is given as follows:

a) 90 ways.

b) 48 ways.

c) 42 ways.

The Fundamental Counting Theorem states that if there are m ways for one trial and n ways for another trial, then there are m x n ways in which the two trials can happen simultaneously.

This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual trial, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

For item a, we have that there are no restrictions, hence there are 10 options for the first sock and 9 for the second, hence:

10 x 9 = 90.

For item b, we need one of each, hence the possible combinations are:

Hence:

6 x 4 + 4 x 6 = 48.

For item c, we can take 6 then five(two blue) or 4 then 3(two white), hence:

6 x 5 + 4 x 3 = 42.

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Answer:

y =2 when x = 150

Step-by-step explanation:

Inverse variation is

xy = k

5*60 = k

300 = k

xy = 300

150y = 300

Divide by 150

150y/150 = 300/150

y = 2

Answer:d

Step-by-step explanation:

The other side of this equation so it's true for all values of x: 1/2(6x - 10) - x = 2x - 5, and the other side of this equation so it's true for no values of x: 1/2(6x - 10) - x = 2x-5 = 2x+3.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Given that, find the other side of this equation so it's true for all values of x:

1/2(6x - 10) - x

= 6x/2 - 10/2 -x

= 3x-5-2

= 2x-5

Now for, equation so it's true for no values of x:

1/2(6x - 10) - x =

Distribute the parentheses:

1/2(6x - 10) - x =

= 3x -5 -x

= 2x -5

We need to other side to be of the form 2x - constant where the constant is not equal to 5.

2x-5 = 2x+3

Subtract 2x from each side.

-5 =3

This is not true so there is no solution.

Hence, the other side of this equation so it's true for all values of x: 1/2(6x - 10) - x = 2x - 5, and the other side of this equation so it's true for no values of x: 1/2(6x - 10) - x = 2x-5 = 2x+3.

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Answers:

===========================================

Explanation:

The number 10 inside circle A, but outside circle B, represents the number of acres dedicated to corn only (no wheat).

The number 7 inside circle B, but outside circle A, represents the number of acres dedicated to wheat only (no corn)

The number 4 in the overlapping region of both circles represents the number of acres for both corn and wheat at the same time.

The union of two sets is simply combining the two sets together to form one bigger set. If an element is in A union B, then it is either in A or B, or both. We add the values in the circles to get 10+7+4 = 17+4 = 21 to represent 21 acres for corn only, for wheat only, or for both.

Note: There are no values outside the circles, so none of the land is for any other purpose other than corn or wheat.

Check out the diagram below for a visual summary.

Answer:

Just corn = 10 acres

Just wheat = 7 acres

Intersection of corn and wheat = 4 acres

Union of corn and wheat = 21 acres

Answer:

f(x)=5x^(4)+3x^(2)+6x^(-1)-3:yes

f(x)=(7)/(8)x^(3)+2x^(5)-6x+17:yes

f(x)=5\sqrt(3+4x):No

f(x)=(1)/(x^(2))+(1)/(x)-12x^(2):Yes

Answer:

Step-by-step explanation:

You want the slope, y-intercept, and equation for a line that passes through the points (2, -2) and (8, 1).

The slope formula is used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-2))/(8 -2) = 3/6 = 1/2

The slope-intercept equation can be rearranged to give the y-intercept:

  b = y - mx

  b = 1 -(1/2)(8) = 1 -4 = -3 . . . . . . using (x, y) = (8, 1)

The slope-intercept form equation is ...

  y = mx +b . . . . . . where m is the slope, and b is the y-intercept

Using the found values, the equation is ...

  y = 1/2x -3

The additional acres that the parks occupy will be 33.75 acres.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, the additional acres that the parks occupy will be:

= (12.5 × 3) - 3.75

= 33.75 acres.

Note that the information is incomplete and the complete information is given below.

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A city is building 3 parks in a new subdivision. Each park will be 1.25 acres. How many total acres will the 3 parks be? 3.75 acres

The city acquired more land next to the subdivision. If it decides to make each park 12.5 acres, how many additional acres would the parks occupy?

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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Answer:

Option c. 5.7 grams

Option b. 5.3 grams

Step-by-step explanation:

(a) A \(4\frac{1}{2}\) ounce hamburger patty has \(25\frac{1}{2}\) grams of protein.

first we convert mixed fraction to improper fraction.

Amount of protein a  \(\frac{9}{2}\) ounce hamburger patty has = \(\frac{51}{2}\) grams

∴  Amount of protein a 1 ounce hamburger patty has = \(\frac{\frac{51}{2} }{\frac{9}{2} }\)

= \(\frac{51}{2} \times \frac{2}{9}\)

= \(\frac{51}{9}\)

= \(\frac{17}{3}\) = \(5\frac{2}{3}\) = 5.7 grams

(b)  A 6 ounces of fish has 32 grams of protein.

∴ The amount of protein a 1 ounce of fish has = \(\frac{32}{6}\)

                                                                            = 5.3 grams

A hamburger patty has approximately 5.7 grams of protein per ounce.

A fish has approximately 5.3 grams of protein per ounce.

Answer:

Step-by-step explanation:

A range

Answer:

NO because 7+5=12

The sum must be larger (not equal to) the longest side. If it's exactly the same, there's no room to for the shorter two sides to angle up to form a triangle.

Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

The confidence interval formula is \(\bar x\pm t\frac{s}{\sqrt{n}}\).

Where, \(\bar x\) is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.

Here,

\(\bar x\) =1.267, s=1.23, n=30

The standard error is Se= 1.23/√30

= 0.2246

Item a:

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

Item b:

Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.

\(\bar x\pm tS_c\)

\(\bar x+ tS_c\) =1.267-2.7564(0.2246) =0.6479

\(\bar x- tS_c\) =1.267+2.7564(0.2246) =1.8861

Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.

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Answer:

4 pounds

Step-by-step explanation:

when you match it on the graph it corresponds to 4

steps

match 18 which is in between 16 and 20 to the weight and you will see it moves and is correspondence to 4

Answer:

a. Because event B rules out obese subjects.

b. "A or B" is the event that the person chosen is overweight and obese.

Step-by-step explanation:

1. Disjoint events are those events which do not have the same elements. Event A and event B can only be disjoint if they both have separate subjects that is event A contains obese persons and event B contains overweight persons.

Therefore they are only disjoint when set B rules out ( leaves out) obese people. So choice a is the best answer.

Disjoint events are also called mutually  exclusive events

2. In statistics the symbol or means including. Event A or B  would mean including both types of person obese and overweight. In mathematical expression it is written as

P (A or B) = P (A) + P (B) For mutually exclusive events. ( disjoint events)

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Emil starts the day with 16 liters of lemonade if he is left with 4 liters by the end of the day. Computed using the fractional values given.

Let the initial quantity of lemonade with Emil be x liters.

Quantity sold by Emil in the morning = Half of his lemonade = (1/2)x liters, that is half fraction of x.

Quantity left with Emil = x - x/2 = x/2 liters, that is half fraction of x.

Quantity sold by Emil at lunchtime = Quarter of what was left = (1/4)(x/2) liters = x/8 liters, that is the one-eight fraction of x.

Quantity left with Emil = x/2 - x/8 = 3x/8 liters, that is the three-eight fraction of x.

Quantity sold by Emil in the afternoon = One-third of what was left = (1/3)(3x/8) liters = x/8 liters, that is the one-eight fraction of x.

Quantity left with Emil = 3x/8 - x/8 = x/4 liters, that is the quarter fraction of x.

Now, we are said that Emil closes for the day with 4 liters remaining.

Therefore, x/4 = 4, or, x = 4*4 = 16 liters.

Therefore, Emil started the day with 16 liters of lemonade.

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Answer:

Step-by-step explanation:

You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.

We can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...

These equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.

We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...

__

Additional comment

Using b = c +10000, the two remaining equations are ...

<95141404393>

Answer:

32/75 in fraction form 0.426 in decimal

Step-by-step explanation:

0.64 2/3

convert tge decimal into a fraction = 64/100 reduce/simplify to 16/25

64 ÷ 4 = 16

___

100 ÷ 4 = 25

16/25 × 2/3 = 32/75

16 × 2 = 32

___

25 × 3 = 75

The simplified fraction form of .64 2/3 is 66/75. To convert the mixed number .64 2/3 to fraction form, we need to combine the whole number part and the fractional part.

The whole number part is 0.64, and the fractional part is 2/3.

To combine them, we multiply the whole number part by the denominator of the fraction and then add the numerator. Then, we put the result over the denominator.

Step 1: Convert the decimal to a fraction.

0.64 = 64/100

Step 2: Combine the whole number part and the fractional part.

0.64 2/3 = 64/100 + 2/3

Step 3: Find a common denominator (the least common multiple of 100 and 3 is 300).

0.64 2/3 = (64/100) + (200/300)

Step 4: Add the fractions.

0.64 2/3 = (64/100) + (200/300) = 264/300

Step 5: Simplify the fraction, if possible.

264/300 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4.

264 ÷ 4 = 66

300 ÷ 4 = 75

So, the simplified fraction form of .64 2/3 is 66/75.

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Answer:

6  13/16

Step-by-step explanation:

7+(10-4^2)÷4×1/2^3

PEMDAS says parentheses first

7+(10-16)÷4×1/2^3

7+(-6)÷4×1/2^3

Then exponents

7+(-6)÷4×1/8

Then multiply and divide from left to right

7+(-6)÷4×1/8

7+-3/2 *1/8

7 + -3/16

Add and subtract

6 13/16

Since the base of the pyramid is a triangle with a side length of 4 cm

That means the base is an equilateral triangle of sides 4 cm

The height of the equilateral triangle is

h is the height

s is the side

Since the side is 4 cm, then

s = 4

Substitute it in the rule above to find h

(a)

Since the rule of the area of a triangle is

b is the base

h is the height

Since the base is 4, then

b = 4

Substitute the values of b and h in the rule of the area to find it

(b)

The area of the base is

Since the altitude of the pyramid is 4 cm

We will use the Pythagoras theorem to find the side SC

From the triangle above we will use the height of the pyramid OS and a part of the height of the base = 2/3 h to find the side SC

Take a square root for both sides

(c)

The length of the side edge SC is