what is the product of 120x15?​

Answer: 3/10

Step-by-step explanation:

Given a decimal number 0.3

To Write the rational number 0.3 in the form ab , where a and b are integers, take it to be :

0.3 /1

Multiply the numerator and the denominator by 10

0.3/1 × 10/10 = 3/10

Therefore, a = 3 and b = 10

the rational number 0.3 in the form ab , where a and b are integers is

3/10

The standard error of the sample mean, \(\bar{x}\) , is the standard deviation of the distribution of sample means.

The standard error is a measure of the amount of variability in the mean of a population. It is also defined as the standard deviation of the sampling distribution of the mean. This value is used to create confidence intervals or to test hypotheses. The formula to find the standard error is SE = s/√n, where s is the sample standard deviation and n is the sample size. This estimate shows the degree to which the sample mean is anticipated to vary from the actual population mean.

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Answer:b

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

Cross multiply.

7 x 4 = 28.

X x 2 = 2x

2x = 28

x = 14

9514 1404 393

Answer:

Step-by-step explanation:

The attached graph shows the square root relation (red) and the cube root function (blue). The function values are shown for x=0 and x=±8.

You can see that there are 2 square roots for positive numbers, one square root for 0, and 0 square roots for negative numbers. There is exactly 1 cube root for any number.

_____

Additional comment

We call the square root curve a "relation" because it is not a function. A relation that is a function will have only one y-value for each x-value. For positive x-values, there are two square roots.

Answer:

27 inches

Step-by-step explanation:

i think this is the answer

The probability that a randomly selected finishing time is greater than 87 seconds is 14.08%. This can be calculated using the empirical rule.

The empirical rule states that for any data that is normally distributed, about 68% of the data will fall within one standard deviation of the mean (in this case, within 69 ± 6 seconds). Approximately 95% of the data will fall within two standard deviations (in this case, within 69 ± 12 seconds), and about 99.7% of the data will fall within three standard deviations (in this case, within 69 ± 18 seconds).Given the mean and standard deviation given, we can calculate the probability that a randomly selected finishing time is greater than 87 seconds.

We can do this by subtracting the area under the curve from the mean to the value we are interested in (in this case, 87 seconds). Since the total area under the curve is 1, subtracting the area from the mean to 87 seconds will give us the desired probability.To calculate the area under the curve, we need to calculate the Z-score, which is the number of standard deviations away from the mean a particular value is. In this case, the Z-score is (87 - 69) / 6, which is 2.16. Using a Z-table, the probability of a Z-score of 2.16 or higher is 0.8592. Therefore, the probability that a randomly selected finishing time is greater than 87 seconds is 1 - 0.8592, which is 0.1408. Rounding to two decimal places, this is 14.08%.

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Answer: 10 1/4 (Letter D)

Step-by-step explanation:

Answer:

$72

Step-by-step explanation:

I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.

Answer:

$72

Step-by-step explanation:

You are trying to determine how much money the school will take in before giving out prize money. Knowing this, you can actually ignore the $6 that the winner will get because you are not worried about giving out the prize money yet. You are only worried about how much you will make before the prize money.

So, you can do simple multiplication to find the answer:

price per game * amount of people playing game = money made from games

$2 * 36 = x

$72 = x

Answer:

y = 90

Step-by-step explanation:

A direct variation is

y = kx where k is a constant

30 = k(-3)  from the first set of points

30/-3 = -3k/-3

-10 = k

The equation is y = -10x

Let x = -0

y = -10 * -9

y = 90

Answer:

the answer is a because the text shows it

Step-by-step explanation:

Answer:

It would be a negative slope

Step-by-step explanation:

Since it starts at a positive number but goes down into the negative quarderents it is a negative slope.

Answer:

27

Step-by-step explanation:

3*3*3=27

Answer:

for 100: 14,800

for 10: 14,780

for 1: 14,780

for 1000: 15,000

Step-by-step explanation:

ok so just go for like if its

18 its going to be 20 if its 11 its going to be 10

Hope this helps!!

PLEASE CROWN TYY

Answer:

Rounding Rules:

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

Step-by-step explanation:

100: 14,800

10: 14,780

1: 14,780

1000: 15,000

The number of miles for same rental costs are 300 miles.

Let the number of miles be x.

Firstly calculating the cost of Company a -

Total cost = One day cost + Number of miles × Cost per mile

Total cost = 110 + 0.70x

Calculating the cost of Company b -

Total cost = One day cost + Number of miles × Cost per mile

Total cost = 80 + 0.80x

Now, for the same rental cost, we will equate the two expressions. This will calculate the value of x.

110 + 0.70x = 80 + 0.80x

Rearranging the expression -

110 - 80 = 0.80x - 0.70x

Performing subtraction

30 = 0.10x

Shifting the values on other side of equation

x = 30/0.10

Performing division

x = 300

Hence, the rental cost for both companies will be same for 300 miles.

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Answer:

14.28%

Step-by-step explanation:

I'm not sure if it's right but this is how I worked it out,

the box's contents are 4.2 pounds in total,

therefore in a fraction it would be 6/42

you turn a fraction into a percentage you do the numerator divided by the denominator

6÷42=0.142857(decimal form)

now you just turn it into a percentage

14.28%

please correct me if I'm wrong

Answer:

  z = 12

Step-by-step explanation:

The two marked inscribed angles intercept the same arc, so have the same measure.

__

  ∠ADB = ∠ACB

  7z -4 = 5z +20 . . . . . . substitute degree measures

  2z = 24 . . . . . . . . add 4-5z

  z = 12 . . . . . . . divide by 2

Answer:

last one

y = \(\frac{1}{5}\)x

Step-by-step explanation:

slope = \(\frac{3-0}{15-0}\) = \(\frac{3}{15}\) = \(\frac{1}{5}\)

y- intercept is 0

A is the correct answer since x=15

In the context of statistics, a statistic refers to a numerical value that is calculated from a sample of data, while a parameter refers to a numerical value that describes a population.

In the given scenario, the number of birds in different regions can be considered as either a statistic or a parameter depending on the context in which it is used.

If the number of birds is obtained by counting the birds in a specific region and then calculating summary measures such as the mean, median, or standard deviation based on that sample, then it would be considered a statistic. This is because the data is collected from a subset (sample) of the entire population of birds.

On the other hand, if the number of birds represents the total count or an average count across all regions without any sampling involved, then it would be considered a parameter. In this case, the value represents a characteristic of the entire population of birds in different regions.

It is important to note that whether the number of birds is considered a statistic or a parameter depends on how the data is collected and analyzed.

If multiple samples are taken from different regions and statistical inference techniques are used to make inferences about the entire population, then it would be appropriate to consider it as a statistic. However, if the data represents a complete count or an average across all regions without any sampling involved, then it would be considered a parameter.

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Answer:

Question A, the values of h is 11 and k is -8 .

Question B, the equation is y = (-4/3)x + 2 .

Step-by-step explanation:

Question A, in order to find the value of h and k, you have to use the mid-point formula and do comparison :

\(m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)

Let (x1,y1) be coordinate A (h,4),

Let (x2,y2) be coordinate B (-5,k),

Let mid-point be (3,-2),

\((3 \: , - 2) = ( \frac{h - 5}{2} , \frac{4 + k}{2} )\)

\(by \: comparison, \: \)

\( \frac{h - 5}{2} = 3\)

\(h - 5 = 6\)

\(h = 11\)

\( \frac{4 + k}{2} = - 2\)

\(4 + k = - 4\)

\(k = - 8\)

Question B, given that line is perpendicular bisetor to AB means that the line touches mid-point which is M(3,-2). Using gradient formula :

\(m = \frac{y2 - y1}{x2 - x1} \)

Let (x1,y1) be (11,4),

Let (x2,y2) be (-5,-8),

\(m = \frac{4 - ( - 8)}{11 - ( - 5)} \)

\(m = \frac{12}{16} \)

\(m = \frac{3}{4} \)

The gradient of perpendicular line is opposite of line AB and when both gradient are multiplied, you should get -1 :

\(m1 \times m2 = - 1\)

Let m1 be the gradient of AB, m = 3/4,

Let m2 be the gradient of perpendicular line,

\( \frac{3}{4} \times m2 = - 1\)

\(m2 = - \frac{ 4}{3} \)

Last, we have to use the slope-form equation, y = mx + b and susbtitute the coordinates of M into the equation :

\(y = mx + b\)

Let m = -4/3,

Let x = 3,

Let y = -2,

\( - 2 = - \frac{4}{3} (3) + b\)

\(b = 2\)

Answer:

8

Step-by-step explanation:

Even though we don't know the number yet, let's name this number "n".

8n + 3 = 6n + 19

8n + 3 - 6n = 6n + 19 - 6n

2n + 3 = 19

2n = 16

n = 16/2

n = 8

Our number is 8.

Note: This answer is 100% correct.  

Answer:

The answer is 81 yards

Step-by-step explanation:

First: you divide 40.5 by 5 s to see how far is goes in the air in 1 second

second: you should get 8.1 as the answer it rises 8.1 yards in one second

third: multiply 8.1 by 10 s to get 81 yards

The value of tan I = √12/9

To determine the value of tan I from the diagram, we have to take note of the different trigonometric identities in mathematics;

These includes;

Also, the ratios of these identities are;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the information given, we have;

Substitute the values

Opposite = √12

Adjacent = 9

Now, add the values, we get

tan I = √12/9

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To express x and y in terms of trigonometric ratios of θ, we need to use the definitions of sine, cosine, and tangent ratios.

Let's assume that θ is an acute angle in a right triangle with hypotenuse of length 1. Then, we have:

sin θ = opposite/hypotenuse = y/1 = y
cos θ = adjacent/hypotenuse = x/1 = x
tan θ = opposite/adjacent = y/x

Therefore, we can express x and y in terms of trigonometric ratios of θ as follows:

x = cos θ
y = sin θ

Alternatively, if we are given the value of one trigonometric ratio and we need to find the others, we can use the Pythagorean identity:

sin^2 θ + cos^2 θ = 1

From this, we can derive:

cos^2 θ = 1 - sin^2 θ
sin^2 θ = 1 - cos^2 θ

And then use the definitions of tangent and cotangent ratios:

tan θ = sin θ/cos θ
cot θ = cos θ/sin θ = 1/tan θ

Hope this helps!
To express x and y in terms of trigonometric ratios of θ, we will use the basic trigonometric ratios: sine (sin), cosine (cos), and tangent (tan). In a right-angled triangle, we have:

1. sin(θ) = opposite side / hypotenuse
2. cos(θ) = adjacent side / hypotenuse
3. tan(θ) = opposite side / adjacent side

Assuming x is the adjacent side and y is the opposite side in relation to angle θ, and the hypotenuse is denoted by r, we can express x and y in terms of trigonometric ratios of θ as follows:

Step 1: Solve for x using the cosine ratio:
x = r * cos(θ)

Step 2: Solve for y using the sine ratio:
y = r * sin(θ)

So, x and y are expressed in terms of trigonometric ratios of θ as x = r*cos(θ) and y = r*sin(θ).

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The given series is 6^(-5) * (1/9). To determine if this series converges, we need to find the limit of its terms as n approaches infinity.

6^(-5) is a constant, so we can ignore it for now and focus on (1/9). The limit of (1/9) as n approaches infinity is simply (1/9), which is a finite value. Therefore, the series converges.

There are no specific values of x to find in this case, as the series only has one term. The given term converges for all values of x.

It seems that you have not provided a series in your question. Could you please provide the series you'd like to analyze for convergence? Make sure to include the terms you'd like to be in the answer, and I'll be happy to help you find the values of x for which the series converges.

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The coordinates (2,1) will be on graph but (1,3) is not on graph.

What is a coordinate?

A coordinate is a set of two or more numbers or variables that identify the position of a point, line, or plane in a space of a given dimension. Coordinates are used to pinpoint a particular location, such as a specific point on a map or a specific point in a mathematical equation.

This means that for every 1.5 cups of dried fruit, there is 1 pound of granola. The graph of this proportional relationship would be a line that goes through the origin and has a slope of 1.5. For the point (2,1), the x-coordinate (2) is exactly 1.5 times the y-coordinate (1). This means that if you used 2 cups of dried fruit, you would get 1 pound of granola. Therefore, this point would be on the graph of the proportional relationship, so the answer is Yes. However, for the point (1,3), the x-coordinate (1) is not 1.5 times the y-coordinate (3). This means that if you used 1 cup of dried fruit, you would not get 3 pounds of granola.

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The algebraic expression 6x(3y + 4z) can be simplified as 18xy + 24xz

the algebraic expression given in the question is a linear equation in three variables that are x , y and z and the simplification of this algebraic expression would also contain all the three variables

To solve this question we have to use the algebraic of  distributive property of addition over multiplication

so, using the above property and substituting the values given in the question we get

6x(3y +4z) = 6x(3y) + 6x(4z)

                  = 18 xy + 24 xz

Hence, The algebraic expression 6x(3y + 4z) can be simplified as 18xy + 24xz

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The radius of convergence of the given series is 1. The series is an alternating series, which means that we can apply the Alternating Series Test to determine the convergence of the series. The ratio test can also be used to show that the radius of convergence is indeed 1.

The given series can be written as:

∞

Σ 8(-1)^n n x^n

n=1

To find the radius of convergence, we can use the Alternating Series Test, which states that if a series is alternating (i.e., the signs of its terms alternate), decreasing, and its limit as n approaches infinity is 0, then the series converges.

In this case, the series is alternating because the signs of its terms alternate between positive and negative. To show that it is decreasing, we can take the derivative of the nth term with respect to x and show that it is negative for all n:

d/dx [8(-1)^n n x^n] = 8(-1)^n n^2 x^(n-1)

Since n^2 is always positive, the sign of the derivative is determined by (-1)^(n+1), which is negative for odd values of n and positive for even values of n. Thus, the series is decreasing for all x.

To show that the limit of the nth term as n approaches infinity is 0, we can use the ratio test. The ratio of the (n+1)th term to the nth term is:

|(8(-1)^(n+1) (n+1) x^(n+1)) / (8(-1)^n n x^n)| = |(-1)(n+1)x / n|

As n approaches infinity, this ratio approaches |-x|, which is less than 1 if |x|<1. Thus, the series converges for |x|<1.

Finally, we need to check the endpoints x=-1 and x=1 to see if the series converges at those points. At x=-1, the series becomes:

∞

Σ 8(-1)^n n (-1)^n

n=1

which is the alternating harmonic series, and we know that it converges to ln(2).

At x=1, the series becomes:

∞

Σ 8(-1)^n n

n=1

which diverges because the nth term does not approach 0 as n approaches infinity.

Therefore, the radius of convergence is 1, and the series converges for -1 < x ≤ 1.

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Perimeter = length + length + width + width.

7y-7.5 + 7y-7.5 + 7.5y+8 + 7.5y +8

Combine like terms:

29y+1

The perimeter is 29y + 1 feet