andrew took a handful of change out of his picket adn noticed taht he was only holding dimes adn quarters in his hand. he counted that he had 22 coins that ammounted to $4. how many quarters and how many dimes does andrew have?

The correct example of choosing a random sample from the target population of 100 students, where 40 are boys and 60 are girls, is option C.

Option C states that the group is separated into groups of boys and girls, and then 5 boys and 5 girls are randomly chosen from each group. This method ensures that both boys and girls are represented in the sample, and the random selection process helps to reduce bias.

Option A, choosing every other person on an alphabetical list of names, may introduce bias if the names are not randomly ordered or if there is any pattern to the list.

Option B, separating the group into groups of boys and girls and randomly choosing 5 boys and 5 girls from each group, is the correct method described in option C.

Option D, tossing a number cube for each name on the list and choosing those names that correspond to a 2, 4, or 6, does not guarantee a representative sample, as it introduces randomness based on the outcome of the number cube toss.

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Answer:

Two lines in the same plane that do not intersect are called parallel lines. When a line intersects two parallel lines, several pairs of angles that are formed have equal measures.

Step-by-step explanation:

Tell me if you need more explanation.

Answer: Angle 1 and angle 5 are corresponding angles

Answer: 2⁻²

Step-by-step explanation:

probably

Answer:

it e

Step-by-step explanation:

thats a tranversal and alternative exterior angles are angles on the opposite sides if a tranversal.

out of the half of the class, 1/4 brought home made cookes, then, we have the following:

therefore, 1/8 of the class brings in homemade cookies

Answer:

A

Step-by-step explanation:

It is inclusive.

The sum of half a number and three-fourths is at least five and one quarter.

Answer:

8978 grams

Step-by-step explanation:

The equation to find the half-life is:

\(N(t)= N_{0}e^{-kt}\)

N(t) = amount after the time t

\(N_{0}\) = initial amount of substance

t = time

It is known that after a half-life there will be twice less of a substance than what it intially was. So, we can get a simplified equation that looks like this, in terms of half-lives.

\(N(t)= N_{0}e^{-\frac{ln(\frac{1}{2}) }{t_{h} } t}\) or more simply \(N(t)= N_{0}(\frac{1}{2})^{\frac{1}{t_{h} } }\)

\(t_{h}\) = time of the half-life

We know that \(N_{0}\) = 35,912, t = 14,680, and \(t_{h}\)=7,340

Plug these into the equation:

\(N(t) = 35912(\frac{1}{2})^{\frac{14680}{7340} }\)

Using a calculator we get:

N(t) = 8978

Therefore, after 14,680 years 8,978 grams of thorium will be left.

Hope this helps!! Ask questions if you need!!

8,978 grams of thorium will be left, after 14,680 years.

The time required for half of the atoms of a radioactive substance to become disintegrated.

Given that, A radioactive thorium element is 35,912 grams and have the half-life is 7,340 years,

The formula to calculate the half life is;

N(t) = N₀e⁻ˣ

N(t) = amount after the time t

N₀ = initial amount of substance

x = time

Putting the values,

N(t) = 35912(1/2)¹⁴⁶⁸⁰/₇₃₄₀

N(t) = 8978

Hence, 8978 thorium will be left.

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21 inch²

we splitthe two shapes, find the areas by multiplying the two sides and we add both of the answers, 15+6

Answer:

2(3) + 2(6) = 6 + 12 = 18 square feet

Answer: N=15

Step-by-step explanation:

3n+32=77

subtract 32 from 77 which you give you 45

3n=45 then divide it by three

so 45/3=15 so N=15

The limit lim(x→∞) x/√(x^2 + 3) is 1, and there is no need to apply L'Hospital's Rule in this case.

When trying to use L'Hospital's Rule to find the limit lim(x→∞) x/√(x^2 + 3), it is important to note that L'Hospital's Rule can only be applied if the function is continuous and differentiable. In this case, the function is continuous and differentiable, but applying L'Hospital's Rule is not necessary as the limit can be evaluated using another method.
First, let's rewrite the given function by dividing both the numerator and the denominator by x:
lim(x→∞) (x/x) / (√(x^2 + 3)/x) = lim(x→∞) 1 / √(1 + 3/x^2)
As x approaches infinity, the term 3/x^2 approaches 0, so the limit becomes:
lim(x→∞) 1 / √(1 + 0) = 1 / √(1) = 1
Therefore, the limit lim(x→∞) x/√(x^2 + 3) is 1, and there is no need to apply L'Hospital's Rule in this case.

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Left side bottom one

A function is a plot for an equation in 2 variables

Answer:

Graph - C represents a function

Answer:

x = 5

Step-by-step explanation:

o find the equation of the line that is perpendicular to line G, we need to find the slope of line G first. The slope of a line can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

Using the points (-8, 3) and (7, 3) on line G, we get:

slope of line G = (3 - 3) / (7 - (-8)) = 0

Since the line we want to find is perpendicular to line G, its slope will be the negative reciprocal of the slope of line G. That is:

slope of perpendicular line = -1 / slope of line G = undefined

An undefined slope means that the line is vertical. Therefore, the equation of the line that is perpendicular to line G and passes through the point (5, -3) is simply:

x = 5

Range: lowest possible y-value to the highest possible y-value

In this case, the graph spans from -4 to 1, taking on all of the y-values between those two points. But, the graph also has a straight line at y=3.

Range: -4 < y <= 1 or {3}

Hope this helps!

Answer:

an ascending straight line graph is linear and has a positive slope when y is more than x or the same, when y appears less than x in slope it becomes less steeper but when all slopes are positive so are x and y relationship.

Step-by-step explanation:

You can also have a positive slope ascending straight line to a constant straight line, this becomes a change simply as and when the velocity changes.

Since the velocity vs time graph is a straight line, the secant line will always coincide with it. So, the slope of the secant line is always equal to the slope of the graph, meaning that the average acceleration is always equal to the constant acceleration. Velocity vs time graph consisting of an ascending line.

The statements that are true concerning two similar figures include:

The ratio of the corresponding angles equals 1.

The ratio of corresponding side lengths are equal. That is option A and C.

Ratio is defined as the number of time a proportion is doing in another proportion.

The similarity that exists between figures or shapes such as a triangle is being proven using Congruence & Similarity. That is,

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There are 8 teams left after 4 rounds.

Given that there are 128 teams entered in a basketball tournament, and half of the teams are eliminated each round, to determine how many teams are left after 4 rounds, the following calculation must be performed:

Therefore, there are 8 teams left after 4 rounds.

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The airplane's new ground speed is approximately 349.36 mph, and its direction is approximately 14.43° east of north.

We'll break it down step by step, and use vector addition to determine the new ground speed and direction of the airplane. Break down the airplane's velocity vector and wind velocity vector into their north and east components.

Airplane velocity vector:
- North component: 325 mph * cos(20°) ≈ 306.60 mph
- East component: 325 mph * sin(20°) ≈ 111.60 mph

Wind velocity vector:
- North component: 40 mph * cos(40°) ≈ 30.64 mph
- West component: 40 mph * sin(40°) ≈ 25.71 mph (Note: Since it's west, it'll be negative in the east direction)

Add the corresponding components of both vectors.

Resultant north component: 306.60 mph (airplane) + 30.64 mph (wind) = 337.24 mph
Resultant east component: 111.60 mph (airplane) - 25.71 mph (wind) = 85.89 mph

Determine the magnitude and direction of the new ground speed vector.

Magnitude (ground speed): √(337.24^2 + 85.89^2) ≈ 349.36 mph

Direction: tan^(-1)(85.89 / 337.24) ≈ 14.43° east of north

So, the airplane's new ground speed is approximately 349.36 mph, and its direction is approximately 14.43° east of north.

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Answer:

h(n) = - 5.3 \((-11)^{n-1}\)

Step-by-step explanation:

This is a geometric sequence with explicit formula

h(n) = h(1) \((r)^{n-1}\)

where h(1) is the first term and r the common ratio

Here h(1) = - 5.3 and r = - 11 , then

h(n) = - 5.3 \((-11)^{n-1}\)

a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

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A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

Vertical lines go up and down and are in the form of x = a, where a stands for the common x-coordinate of all locations, whereas horizontal lines go left to right and take the shape of y = b, where b stands for the y-intercept.

A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's domain, the graph can never cross it. There may be multiple vertical asymptotes for a given function. All common factors are cancelled in the denominator, D(x).

A horizontal asymptote exists of the form y = k where x→∞ or x→ -∞ if the value of the one/both of the limits lim ₓ→∞ f(x) and lim ₓ→ -∞ f(x).

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

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Answer:

the second one. They need to be in the same order of congruency.

Step-by-step explanation:

Answer:

the answer is the second option

congruency means the same shape and size including sizes of angle and sides

Answer:

.0214

Step-by-step explanation:

2.14 * .01 = .0214

to check:

.0214 * 100 = 2.14

So Eric's relative error to the nearest thousandth is 0.007 or 0.7%.

Relative error can be calculated using the following formula:

Relative error = (|measured value - actual value|) / actual value

In this case, the actual value is 3 inches, and the measured value is 2.98 inches. So, we can calculate the relative error as follows:

Relative error = (|2.98 - 3|) / 3 = (0.02) / 3 = 0.0067

To find the relative error to the nearest thousandth, we round the result to three decimal places:

Relative error = 0.007

So Eric's relative error to the nearest thousandth is 0.007 or 0.7%.

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So Eric's relative error to the nearest thousandth is 0.007 or 0.7%.

The relative error can be calculated using the following formula:

Relative error = (measured value - actual value|) / actual value

In this case, the actual value is 3 inches, and the measured value is 2.98 inches. So, we can calculate the relative error as follows:

Relative error = (|2.98 - 3|) / 3 = (0.02) / 3 = 0.0067

To find the relative error to the nearest thousandth, we round the result to three decimal places:

Relative error = 0.007

So Eric's relative error to the nearest thousandth is 0.007 or 0.7%.

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anser:15

Step-by-step explanation:first add 12+16+10+26+14+12=90divide by how mnay numbers in this case 6 90 divied=15

Mean of given dataset is 15.

It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list is called mean.

Given dataset

12, 16, 10, 26, 14, 12

Mean = \(\frac{12+16+10+26+14+12}{6}\)

= \(\frac{90}{6}\)

= 15

Mean of given dataset is 15.

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Answer :

is approximately 100 cm ²

Step -by-step explanation

\(r \: = 10 \\ l \: = 21.81 \\ T.S.A \: of a \: cone\: = \pi \times r(r + l)\)

\( \frac{22}{7} \times 10(10 + 21.81) \\ \frac{22}{7} \times 10(31.81) \\ \frac{22}{7} \times 318.1\)

\( \frac{22}{7} \times 318.1 \\ = 999.7 \\ = 100 {cm}^{2} \)

The coordinates of V' after reflection(Dilation) across y=-x will be (3,1).

In mathematics, what is dilation?

Dilation is the process of changing the size of an object or form by shrinking or extending its dimensions based on certain scale variables. For example, a circle with radius 10 unit is decreased to a circle with radius 5 unit and there are only four basic types of transformations. They are as follows:

Some characteristics stay constant during dilation are:

Now,

Before reflection

Coordinates of V are (−3, −1).

and reflection of V is across y=-x, which will make values for x and y opposite or change the sign of coordinates.

then coordinates of V' are (3,1)

hence,

           The coordinates of V' after reflection(Dilation) across y=-x will be (3,1).

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Answer: See explanation

Step-by-step explanation:

Your question wasn't well written but I saw an identical question so let me help out.

a. Jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax?

b. They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?

a. Subtotal = $42.00

Tax = $3.99

Percentage of subtotal that is sales tax will be:

= Sales tax/Subtotal × 100

= 3.99/42.00 × 100

= 9.5%

b. Tip = $7

Sub total = $42

The percentage of the subtotal that is the tip will be:

= Tip/Sub total × 100

= 7/42 × 100

= 16.67%

The solution of the exponential equation 2ˣ⁺¹ - 2ˣ = 2³ is equal to 3.

In this problem we need to solve for x an exponential equation, this can be done by using algebra properties and the relationship between powers and logarithms. Now we proceed to present the complete procedure to find the solution of the exponential equation.

First, write the equation:

2ˣ⁺¹ - 2ˣ = 2³

Second, use algebra properties to clear 2ˣ:

2ˣ · 2 - 2ˣ = 2³

2ˣ · (2 - 1) = 2³

2ˣ = 2³

2ˣ = 8

Third, apply the relationship between powers and logarithms:

㏒₂ 2ˣ = ㏒₂ 8

x · ㏒₂ 2 = ㏒₂ 8

Fourth, simplify the resulting expression:

x · 1 = 3

x = 3

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Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year