Find the sample standard deviation. Round to one decimal place. 16, 16, 15, 8, 7, 13, 19, 8, 10 O A. 18.8 O B. 16.7 O C. 4.3 O D. 4.1

Answer:

no it doesn't

Step-by-step explanation:

\( \frac{ {x}^{3} - 1 }{ {x}^{2} - 1 } = \frac{(x - 1)( {x}^{2} + x + 1) }{(x - 1)(x + 1)} \\ \)

( x - 1 )s simplifies

\( \frac{ {x}^{2} + x + 1 }{x + 1} \\ \)

_________________________________

Thus ; the expression doesn't simplify to x.

Answer:

\(x = 34^\circ\)

Step-by-step explanation:

Note that ∠TSU and ∠PSR are vertical angles. Hence:

\(m\angle TSU = m\angle PSR\)

∠PSR is the sum of ∠PSQ and ∠QSR. Hence:

\(\displaystyle m\angle TSU = m\angle PSQ + m\angle QSR\)

We know that ∠TSU measures 4x and ∠QSR measures 3x. Thus:

\((4x) = m\angle PSQ + (3x)\)

Solve for ∠PSQ:

\(m\angle PSQ = x\)

Next, ∠PQS and ∠RQS form a linear pair. Thus:

\(m\angle PQS + m\angle RQS = 180^\circ\)

∠RQS measures 68°. Thus:

\(m\angle PQS +(68^\circ) = 180^\circ\)

Solve for ∠PQS:

\(m\angle PQS = 112^\circ\)

The interior angles of a triangle must total 180°. So, for ΔPQS:

\(\displaystyle m\angle SPQ + m\angle PQS + m\angle PSQ = 180^\circ\)

Substitute in the known values:

\((x) + (112^\circ) + (x) = 180^\circ\)

Simplify:

\(2x = 68^\circ\)

And divide. Hence:

\(x = 34^\circ\)

Answer:

90 + 20 = 110

Step-by-step explanation:

Set _2__ is a _4__ of set __6_.”

Answer:

x = 15 and y= 75

Step-by-step explanation:

Angle B = 60 because all angles in an equilateral triangle are equal

2x + x + x = 60

4x = 60

x = 15

180 - (60+15) = 105

180 - 105 = 75

The total amount that Mrs. Figueroa spent on the beef for the spaghetti is D. $18.95.

The total cost of an item is the quantity (units) multiplied by the unit cost price.

For Mrs. Figueroa to determine the total amount she spent on the beef, she has to multiply the unit cost ($3.99) by the units (4.75 pounds).

The number of pounds of beef purchased = 4³/₄ or 4.75 pounds

Cost of beef per pound = $3.99

Total cost of beef = $19.95 ($3.99 x 4.75)

Thus, the total amount that Mrs. Figueroa spent on the beef for the spaghetti is D. $18.95.

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Answer:

18.95

Step-by-step explanation:

Approximately, there are total 50 national parks is the United states.

The United States has approximately 50 national parks, which are congressionally designated procted areas operated by the National Park Service, an agency of the Department of the Interior.

National Parks are designated for their natural beauty, unique geological features, diverse ecosystems, and recreational opportitinies.

Some of the major national parks are Yesomite National Park, Bryce Canyon National Park, Acadia national park, National park of America Samona, Arches National park etc.

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Answer:

The answer is 50

Step-by-step explanation:

yes

To show that the general term of the quadratic number pattern is given by \(tn = n^2 + 4n - 12\) , we need to find a quadratic expression that fits the given pattern.

Let's examine the given sequence: -7, 0, 9, 20. We notice that each term is increasing by a certain amount.

First, let's find the differences between consecutive terms:
0 - (-7) = 7
9 - 0 = 9
20 - 9 = 11

We observe that the differences between consecutive terms are not constant, so this indicates that the sequence is not linear.

To determine if the sequence follows a quadratic pattern, let's find the second differences:
9 - 7 = 2
11 - 9 = 2

The second differences are constant, which suggests a quadratic pattern.

Now, let's find the quadratic expression. We know that the general term of a quadratic sequence can be written as \(tn = an^2 + bn + c\), where a, b, and c are constants to be determined.

Using the given terms, we can form three equations:

1.\(For n = 1: -7 = a(1)^2 + b(1) + c\)
2. \(For n = 2: 0 = a(2)^2 + b(2) + c\)
3.\(For n = 3: 9 = a(3)^2 + b(3) + c\)

Simplifying these equations, we get:
1. a + b + c = -7
2. 4a + 2b + c = 0
3. 9a + 3b + c = 9

Solving this system of equations, we find a = 1, b = 4, and c = -12.

Therefore, the general term of the quadratic number pattern is given by\(tn = n^2 + 4n - 12\).

The general term of the quadratic number pattern is \(tn = n^2 + 4n - 12\).

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Answer:

Length of the pole = 12.2ft

Step-by-step explanation:

Hello,

According to your description, the pole against a wall of height 7ft and the distance between the base of the pole to the wall is 10ft.

See attached document for better illustration.

To solve this problem, we'll have to make use of pythagorean theorem

According to pythagorean theorem,

X² = y² + z²

X = ?

Y = 10ft

Z = 7ft

X² = 10² + 7²

X² = 100 + 49

X² = 149

X = √(149)

X = 12.2ft

The length of the pole is 12.2 ft

Unfortunately, the length of the pole does not corresponds with any of the answers above, but this is actually the right answer.

Good luck

Answer:

Step-by-step explanation:

No. 6 is greater than the sum of 3 and 2.

No, These three numbers cannot be the measures of the sides of a triangle.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Three sides of triangle are,

⇒ 3, 6, 2

We know that;

The sum of two sides of a triangle are always greater than the third sides.

Here, Three sides of triangle are,

⇒ 3, 6, 2

So, We get;

⇒ 3 + 2 < 6

Thus, It is not possible to make a triangle.

Therefore, These three numbers cannot be the measures of the sides of a triangle.

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False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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The expressions that equal 36 is:

E) 53 − (2. 5 × 30) − 20

Evaluated the mathematical expressions in each response to see if they equal 36.

A. (14⋅32)2−28 = (448)² - 28 = 14⁴ - 28 = 2016 - 28 = 1988, not equal to 36.

B. 23 + (58−54)2 + 122 = 23 + (4)² + 12 = 23 + 16 + 12 = 51, not equal to 36.

C. 92 − (43 + 32) + 30050 = 9² - (7 + 3) + 30050 = 81 - 10 + 30050 = 30021, not equal to 36.

D. 124 + (82 − 42) − 99 = 124 + (64 - 16) - 99 = 124 + 48 - 99 = 73, not equal to 36.

Thus, only the expressions listed in my previous answer equal 36.

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Answer:

Slope-Intercept: y = 10x - 82    Point Slope form: y + 2= 10(x - 8)

Step-by-step explanation:

To create a Slope-Intercept form, you need to first find the y-intercept. To do that, you need to plug in the coordinates in the eqaution so far, y = 10x +b.

y = 10x +b.

-2 = 10(8) + b

-2 = 80 + b

-82 = b

y = 10x - 82

Point Slope form: y + 2= 10(x - 8)

To solve a direct proportion problem with decimal numbers, you can follow the same steps as with whole numbers.

A direct proportion is a relationship between two variables where an increase in one variable results in a proportional increase in the other variable.

To solve a direct proportion problem with decimal numbers:

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By counting the total number of outcomes, we conclude that the spinner has 4 sections.

Let's say that the spinner has N sections.

If we spin it twice, for the first outcome we have N possible outcomes and for the second spin there are N possible outcomes.

Then for the experiment of spinning the spinner twice, the number of outcomes is:

O = N*N

And we know that the number of possible outcomes for spinning the spinner twice is 16, then we have:

16 = N*N = N^2

Solving for N, we have:

N = √16 = 4

Then we conclude that the spinner has 4 sections.

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Answer:

14 1/4

Step-by-step explanation:

I hope this helps!

Answer:

The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use ratios:

Find x by cross multiplication:

The amount of the remittance from ABC is $1,960.

The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.

Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.

To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.

In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.

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Answer: I hope these two answers help please mark me brainlist

Step-by-step explanation:

Simplifying

z = 6(x + -1h)

Reorder the terms:

z = 6(-1h + x)

z = (-1h * 6 + x * 6)

z = (-6h + 6x)

Solving

z = -6h + 6x

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Simplifying

z = -6h + 6x

or another answer

6(x-h)=z

Distribute 6 through the parentheses

6x-6h=z

Swap the sides of the equation

Z= 6x-6h

Answer:

y+8=16(x-8)

Step-by-step explanation:

y-y1=m(x-x1) is the formula

Just substitute from the first pair then you should get the answer.

Answer:

I am not sure but i think the midpoint is 4.5 and 6

To educate a patient on how to judge the appropriate size of a serving of chicken or lean beef, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of their hand. This will help them make healthy choices and keep track of their portions. So, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand.

A serving size is a standardized amount of food or drink that is intended to make it easier for people to compare the nutritional content of different products and understand how much they are consuming. A serving size might be listed on a food label or recommended as part of a healthy eating plan or diet.

The recommended serving size for different foods and beverages can vary depending on several factors, including a person's age, sex, and physical activity level, as well as the nutrient content of the food or drink.

For example, a serving of fresh vegetables might be 1 cup, while a serving of meat, poultry, or fish might be 3 ounces. A good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand. This can help you make healthy choices and keep track of your portions.

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The number one advantage of an experiment over an observational study is that an experiment allows for the manipulation of variables and the establishment of cause-and-effect relationships between variables.

In an experiment, researchers can control and manipulate the independent variable (the variable being tested) and observe the effects on the dependent variable (the variable being measured).

This level of control allows researchers to establish causal relationships between variables, which cannot be done in observational studies, where the researcher merely observes and measures the variables without intervening or manipulating them.

In other words, experiments allow researchers to determine whether a change in the independent variable causes a change in the dependent variable, which is crucial for making informed decisions in fields such as medicine, psychology, and social sciences.

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Answer:

Bulldogs

Step-by-step explanation:

3/8 is less then 1/2

3/8 is less than 4/5

3/8 is less than 2/3

Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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Answer:

x = 41/4

Step-by-step explanation:

If the angles are congruent, then the equation are congruent.

Step 1: Set up equation

5x + 24 = 9x - 17

Step 2: Solve for x

The expression is given as

Solve and simplify the expression by opening the brackets

Hence the answer is

Answer:x=5

Step-by-step explanation:

First we do the parenthesis

-4(7+2x)=-7x-33

To get

-28+-8x=7x+-33

and

-8x-28=-7x-33

Then we Add 7x to both sides.

-8x-28+7x=-7-33+7x

-x-28=-33

Then we Add 28 to both sides.

-x-28+28=-33+28

-x=-5

Lastly Divide both sides by -1.

-x/-1=-5/-1

X=5