What is the greatest common factor shared by 70 and 15?
Answer here
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The representation that is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time is a Line Plot

A line plot, or dot plot/strip plot, is a simple visual method of displaying data that shows the spread of values on a horizontal scale. A frequent application of it is to graphically display the occurrence or spread of a solitary factor.

A line plot generally displays individual data points as a small dot or short line segment along a specific axis, usually the horizontal axis. The location of the dot or line segment indicates the numerical value of the data point. Usually, the up and down axis showcases the frequency or the number of times a particular value occurs.

With this type of Table, the top is always X and the bottom is always Y.

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Answer:

a) 4x-3

b)2x+7

c) 3x^2-13x-10

d) (3x^2+2)/(x-5)

Step-by-step explanation:

If you care to learn how these were solved and weren't just looking for answer let me know.

Answer:you need to show the diagram in order for me to

Step-by-step explanation:

Answer:

x=65

Step-by-step explanation:

So how I would think the equation would be would be 108 + x = 173. So how I would solve this is subtracting 108 from both sides to get x = 65. There is most likely a different way to set this up but thats what comes to mind with me.

Let be "A" the area of the other polygon (in square feet).

By definition, when two figures are similar, the ratio of the lengths corresponding sides can be written as following:

And the ratio of the areas of two similar figures can be expressed as:

Then, the ratio of the areas can be calculated by squaring the ratio of their corresponding sides.

In this case, you can identify that:

Then, the ratio of the areas is:

Then:

The answer is:

tax will be = 50 x 5% = $2.5

Answer:

To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:

Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.

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Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

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The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

50

Step-by-step explanation:

It is on edge

Answer:

it is counting 48 than going down

Step-by-step explanation:1,48

Answer:

The answer would be r = 1/v + 1/w

I hope this helps you! Have nice day! (:

Answer:

\(\frac{17}{28}\)

Step-by-step explanation:

I hope this helps!

Step-by-step explanation:

36/9

4cups per second

hope this helps

Hello!

4 times the sum of x and y

4 * (x + y)

it's a mutliplication

the sum of 4x and y

= 4x + y

it's a sum

Answer:one is multiplying other is some.

Step-by-step explanation:

4xy and =4xy

these two are

To solve this problem, we can use the formula for probability:

P(event) = number of favorable outcomes / total number of outcomes

First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:

11C4 = (11!)/(4!(11-4)!) = 330

where nCr is the number of combinations of n things taken r at a time.

Now let's find the number of favorable outcomes for each part of the problem.

Part 1: Exactly two white balls and two red balls

To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:

6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150

So the probability of selecting exactly two white balls and two red balls is:

P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)

Part 2: At least two white balls

To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.

The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.

To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:

6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100

So the total number of favorable outcomes for selecting at least two white balls is:

150 + 100 = 250

And the probability of selecting at least two white balls is:

P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)

Answer:

  \(\dfrac{\sqrt[3]{95^2}}{17\cdot95^4}=\dfrac{\sqrt[3]{9\,025}}{1\,384\,660\,625}\)

Step-by-step explanation:

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)/(a^c) = a^(b-c)

__

  \(\dfrac{190^3}{68^2}\times\dfrac{34}{95^{\frac{19}{3}}}=\dfrac{(2\cdot 95)^3}{(2\cdot 34)^2}\cdot\dfrac{34}{95^6\cdot 95^{\frac{1}{3}}}=2^{3-2}95^{3-6-\frac{1}{3}}34^{1-2}\\\\=2\cdot 95^{-3\frac{1}{3}}\cdot 34^{-1}=2\cdot 95^{-4+\frac{2}{3}}\cdot 34^{-1}\\\\=\dfrac{2\sqrt[3]{95^2}}{95^4\cdot 34}=\dfrac{\sqrt[3]{95^2}}{17\cdot95^4}\\\\=\dfrac{\sqrt[3]{9\,025}}{1\,384\,660\,625}\)

The entire area is under the standard normal distribution curve, which is 1 by definition.

In other words, a typical normal random variable has a 100% chance of landing anywhere within its range of potential values (-∞ to +∞).

This makes sense since the area under the standard normal distribution curve, which is a continuous probability distribution, shows the likelihood that the random variable will take on any value within its range. Since the entire area under the curve is 1, the likelihood that any potential value for the random variable will occur is 1, or 100%.

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Here we have a polynomial of even degree with positive leading coefficient, so the end behavior is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → ∞

How is the end behavior of F(x)?

Here we have the function:

F(x) = 2x^4 - x^3 + 5x - 9

For any polynomial of even degree, we will have the same end behavior in both ends of the domain.

If the leading coefficient is positive, in both ends the function will tend to infinity.

If the leading coefficient is negative, in both ends the function will tend to negative infinity.

In the case of our function:

F(x) = 2*x^4 - x^3 + 5x - 9

We can see that the leading coefficient is 2, so it is positive, which means that the end behavior is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → ∞

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The expression that represents the volume of the composite figure is 16/3πr³ + r³

The given parameters are:

The volume of a cube is:

V = l³

So, we have:

V = r³

The volume of a hemisphere is:

V = (2/3)πr³

So, we have:

V = (2/3)π(2r)³

Evaluate

V = (2/3)π * 8r³

This gives

V = 16/3πr³

Add both volumes

Volume = 16/3πr³ + r³

Hence, the expression that represents the volume of the figure is 16/3πr³ + r³

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Answer:

66

Step-by-step explanation:

Lets say the number is x

So the equation follows : 2x-2=x+64

2x=x+66

x=66

Answer:

Step-by-step explanation:

let the no. be x

2 times a number is 2x

Two less then 2 times a number is 2x - 2

number plus 64 is x + 64

so, Two less then 2 times a number is the same as the number plus 64

= 2x - 2 = x + 64

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Probability that first three price winners are omar, kira and elsa is     \(\frac{1}{84}\)

Probability that omar is first prize winner and kira is second prize winner and elsa is third price winner is  \(\frac{1}{504}\)

When things are of diverse kinds, the term "permutation" is used to describe the various arrangements that could be made. Combination, meanwhile, is the quantity of smaller groups or sets that can be created from the components of a bigger set.

(i)First 3 prizes must be given to 3 persons regardless of order

Hence they can also be arranged in 3! ways.

est 6 can be arranged in 6! ways.

positions                   ___ ___ ___ ___ ___ ___ ___ ___ ___

number of ways         3     2       1     6     5    4       3     2     1

total number of ways to arrange 9 people = 9!

\(P(A)= \frac{(3)(2)(1)(6)(5)(4)(3)(2)}{(9).(8).(7).(6).(5).(4).(3).(2))}\)\(P(A)=\frac{6}{9.8.7}\)\(P(A)= \frac{1}{84}\)

(ii)Event A

In event A three positions are fixed .

Omar -1 Kira -2 Elsa -3

Therefore there is only 1 way to fill the 1st,2nd and 3rd position

Permutations can only be made among the other positions.

Positions -           ___  ___ ___ ___ ___ ___ ___ ___  ___

Number of ways-  1        1      1       6     5     4      3      2    1

Total number of ways of arranging  9 people =9×8×7×6×5×4×3×2×1

Number of ways to satisfy event A =1×1×1×6×5×4×3×2×1

P(A)=   \(\frac{(6)(5)(4)(3)(2)(1)}{(9)(8)(7)(6)(5)(4)(3)(2)(1)}\)

P(A)= \(\frac{1}{504}\)

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Answer:

35.733

Step-by-step explanation:

have a common denominator then do the math

\(102\% \\ = \frac{102}{100} \\ = \frac{51}{50} \\ = 1 \frac{1}{50} \\ answer \: \: is \: 1 \frac{1}{50} \)

Answer:

oehfinefnefikvds

Step-by-step explanation:

okokokoko

Answer:    x=67

Step-by-step explanation:

All of the angles add up to 180 for a triangle

38 + 75 + x = 180               >combine like terms (the numbers)

113 + x = 180                       >subtract 113 from both sides

x=67

Answer:

Step-by-step explanation:

We know that,

\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)

\( \large \sf \: → x +38° + 75° = 180°\)

\( \large \sf \: → x + 113 = 180°\)

\( \large \sf→ x = 180°- 113°\)

\( \boxed{\large \bf→ x = 67° }\)

Answer:

The length of the vector is of \(\sqrt{194}\)

The unit vector with the direction of PQ is \((\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}\)

Step-by-step explanation:

Vector from point P(3,-5,2) to Q(-5,4,9)

The vector is:

\(PQ = Q - P = (-5-3, 4-(-5), 9-2) = (8,9,7)\)

The length is:

\(\sqrt{8^2+9^2+7^2} = \sqrt{194}\)

The length of the vector is of \(\sqrt{194}\)

Find a unit vector with the direction of PQ

We divide each component of vector PQ by its length. So

\((\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}\)

The unit vector with the direction of PQ is \((\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}\)

Answer: E

Step-by-step explanation: