Write an expression for “the difference of a number and ten”

To determine if it is appropriate to use the given sample of 120 individuals, with 7 of them having a college degree, to calculate a 95% confidence interval for the percent of all California residents with a college degree, we can apply the rule of thumb for sample size.

The rule of thumb states that for estimating proportions, a sample size should be large enough so that both the number of successes (in this case, individuals with a college degree) and failures (individuals without a college degree) are at least 10.

In the given sample, there are 7 individuals with a college degree. To determine if this meets the rule of thumb, we need to ensure that both the number of successes and failures are at least 10. Since the sample size is 120, the number of failures can be calculated as 120 - 7 = 113.

Since both the number of successes (7) and failures (113) are above 10, the rule of thumb is satisfied. Therefore, it is acceptable to use these numbers to calculate a 95% confidence interval for the percentage of all California residents with a college degree.

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Answer:

36 days

Step-by-step explanation:

The answer is the lcm of (9,12)=36 days

We have to find LCM of 9 and 12

2 | 9,12

2 | 9,6

3 | 9,3

3 | 3,1

LCM=2×2×3×3=4×9=36

Today is 36 th day

Step-by-step explanation:

\(11=8+2+1=2^3+2^1+2^0=\bold1\cdot2^3+\bold0\cdot2^2+\bold1\cdot2^1+\bold1\cdot2^0\\\\11_{10}=\bold{1011}_2\)

Based on the scatterplot and computer output, a reasonable estimate of mean temperature in Kelvin for Saturn, which is 886.7 million miles away from the sun is 4.822 degrees Kelvin.

A scatter plot is a particular kind of plot or mathematical diagram that displays values for generally two variables for a collection of data. It uses Cartesian coordinates. A second variable can be shown if the points are coded. A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they may demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables).

Here,

ý =-0.4536(In 886.7) + 7.9009

=4.822.

The scatterplot and computer output provide a reliable estimate of Saturn's mean temperature in Kelvin, which is 4.822 degrees Kelvin at a distance of 886.7 million miles from the sun.

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Answer:

3

Explanation:

For every 3 cupcakes that Edgar gets, Fred gets 1. So, if Edgar gets 9, Fred gets 3.

The sum of all interior angles of a 33-sided regular polygon is 5,580°.Explanation:The formula for finding the sum of all interior angles of a regular polygon is given by:

S = (n - 2) × 180°Where n is the number of sides of the regular polygon.Substituting n = 33 in the above formula:S = (33 - 2) × 180°S = 31 × 180°S = 5,580°Therefore, the sum of all interior angles of a 33-sided regular polygon is 5,580°.Option D, 5,580°, is the correct answer.

Therefore, the average rate of change in f(x) over the interval [4,13] is `13/9`. Hence, the correct option is not given but it's the answer.

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To find all points with a specific x-coordinate, you need to have the equation of the curve or the data points representing the graph. If you have an equation, you can substitute the desired x-coordinate into the equation and solve for the corresponding y-coordinate.

If you have data points, you can look for the points that have the specified x-coordinate.

For example, let's say you have the equation of a line: y = 2x + 3. If you want to find all points with an x-coordinate of 5, you can substitute x = 5 into the equation to find y. In this case, y = 2(5) + 3 = 13. So the point (5, 13) has an x-coordinate of 5.

to find points with a specific x-coordinate, you need the equation of the curve or the data points. You can substitute the desired x-coordinate into the equation or look for the points that have the specified x-coordinate in the given data.

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Answer:

1.6 kg for 7.85 is better I believe.

Step-by-step explanation:

Answer:

a = 281.25 mg after two hours

Step-by-step explanation:

Here, we want to get the amount of aspirin that will be present after two hours

what we simply do here is to substitute 2 for t

Thus, we have it that;

a = 500(3/4)^2

a = 500•(0.75)^2

a = 281.25 mg

Answer:

4

Step-by-step explanation:

10+2=12

10-2=8

8-12=4

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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The scale of measurement of the distance between any two locations is typically considered to be interval or ratio scale.

The interval scale represents measurements where the intervals or differences between values are meaningful and consistent. In the case of distance, the intervals between different distances are consistent and can be measured in a standardized unit (e.g., meters, kilometers, miles).

If the measurements of distance also have a meaningful and non-arbitrary zero point, such as absolute zero representing no distance, then the scale would be considered a ratio scale. However, it is important to note that the choice of scale may vary depending on the specific context and purpose of the measurement.

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Answer:

find the product 362 x14

Answer:

what numbers.

Step-by-step explanation:

Answer:

what are the numbers

Step-by-step explanation:

The area of an obtuse triangle can be found using the formula: Area = (1/2) * base * height.

To find the base and height of the triangle, we need to identify a right angle within the triangle. One way to do this is by drawing an altitude from one vertex to the opposite side.

Once we have the right angle, we can determine the base and height. The base is the length of the side to which the altitude is drawn, and the height is the length of the altitude itself.

Unfortunately, the given information does not provide any measurements or angles of the triangle. Therefore, we cannot calculate the area of the obtuse triangle accurately.  Hence, the answer cannot be determined with the given information.

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Answer:

In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

Step-by-step explanation:

Hope this helps!

Answer:

See below.

Step-by-step explanation:

A translation of 6 units right is 6 added to the x-coordinate.

A translation of 2 units down is a 2 subtracted from the y-coordinate.

Are D through G answer choices, or are you supposed to do the above translation to those 4 points?

Answer:

230\(\frac{2}{3}\)

Step-by-step explanation:

Answer:

230 2/3ft

Step-by-step explanation:

Add 4 numbers:

60 5/6ft + 54 1/3ft + 56 1/6ft+ 59 1/3ft =230 2/3ft

The amount of water that each marine would receive is 4 pints.

The first step is to convert the quantity of water to the same unit.

1 gallon = 8 pints

8  x 5= 40 pints

1 quart = 2 pints

Total quantity of water = 40 + 2 + 2 = 44 pints of water

The next step is to determine how much water each marine would receive.

Amount each marine would receive = total pints / amount each marine would receive

44 / 11 = 4 pints

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Dividing by zero is an example of an arithmetic error.

It is undefined to divide any number by zero, which is why it is considered an error.

In general, any operation that results in an invalid mathematical expression is considered an arithmetic error.

Other examples of arithmetic errors include taking the square root of a negative number or raising a negative number to a fractional exponent.

These errors are generally caused by attempting to perform mathematical operations that are not defined or that violate the rules of algebraic manipulation.

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Answer:

run-time error or arethmeatic error

Step-by-step explanation:

A divide by zero operation is not a defined operation and thus the program at runtime does not have equivalent valid code that can be executed and hence it throws a run-time error.

The answer that I got was 7/7

Answer:

The slope of the line is 1

Step-by-step explanation:

the formula for slope is y2-y1 / x2-x1. The point (-4,2) could be labeled as x1 and y1, where x1 is -4 and y1 is 2 and the point (3,9) could be labeled as x2 and y2, where x2 is 3 and y2 is 9. So then the equation would be set up as the following: 9-2 / 3--4. Simplified, the equation equals 1, because when you subtract it comes out as 7/7.

Hope this helps :)

Answer:

(1/6)

Step-by-step explanation:

ℎ 1/6

Answer:

36, 60, 84

Step-by-step explanation:

3+5+7=15

180/15=12

12*3=36

12*5=60

12*7=84

Answer:

x≥10 or x∈[10, ∞)

Step-by-step explanation:

The graph we are given is h(x) = |x-10|+6, which has the shape of a V. The vertex is at (10, 6), so to the right of the vertex, the graph is increasing.

Therefore, the graph increases during the interval x≥10 or x∈[10, ∞).

Answer:

1260

Step-by-step explanation:

There is no image, so I cannot tell what type of 3d shape it is. Assuming it is a cuboid- where the area is B*W*H. We can see that 14*18*5 is 1260cm^3. Hope that helps!

Answer: I believe the answer is M= -4

Step-by-step explanation:

The maximum sum of two positive numbers in [1,600] with a product of 600 is 244, and the minimum sum of two positive numbers with a product of 500 is 44.707.

For the maximum sum, consider x and y such that x * y = 600. By AM-GM inequality, (x+y)/2 ≥ √(x*y), which implies x+y ≥ 2√(x*y) = 2√600. To maximize the sum, x = y = √600, so the maximum sum is 2√600 ≈ 244.

For the minimum sum, consider a and b such that a * b = 500. Again, by AM-GM inequality, (a+b)/2 ≥ √(a*b), which implies a+b ≥ 2√(a*b) = 2√500. To minimize the sum, a = b = √500, so the minimum sum is 2√500 ≈ 44.707.

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The displacement of the boy relative to the tree is approximately 22.572 meters at an angle of 6.49° counterclockwise from the positive x-axis.

To determine the displacement of the boy relative to the tree using the parallelogram law, we can follow these steps:

Find the x and y components of each vector:

For d₁: d₁x = d₁ * cos(θ1) and d₁y = d₁ * sin(θ₁)

For d₂: d₂x = d₂ * cos(θ2) and d₂y = d₂ * sin(θ₂)

For d₃: d₃x = d₃ * cos(θ3) and d₃y = d₃ * sin(θ₃)

Add the x and y components separately:

Total x component = d₁x + d₂x + d₃x

Total y component = d₁y + d₂y + d₃y

Calculate the magnitude and angle of the resultant displacement:

Magnitude = √((Total x component)² + (Total y component)²)

Angle = atan(Total y component / Total x component)

Now let's substitute the given values and perform the calculations:

For d₁:

d₁x = 21.0 * cos(29.5°) ≈ 18.471

d₁y = 21.0 * sin(29.5°) ≈ 10.173

For d₂:

d₂x = 10.0 * cos(138°) ≈ -5.149

d₂y = 10.0 * sin(138°) ≈ 8.528

For d₃:

d₃x = 19.0 * cos(-119°) ≈ 9.109

d₃y = 19.0 * sin(-119°) ≈ -16.166

Total x component = d₁x + d₂x + d₃x ≈ 22.431

Total y component = d₁y + d₂y + d₃y ≈ 2.535

Magnitude = √((Total x component)² + (Total y component)²) ≈ 22.572

Angle = atan(Total y component / Total x component) ≈ 6.49°

Therefore, the displacement of the boy relative to the tree is approximately 22.572 meters at an angle of 6.49° counterclockwise from the positive x-axis.

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