8. Find the length of SL.
S
70°
6.6
F
70°
9.6
9.6
16
16
40° X
40°

Answer: 20

Step-by-step explanation: Divide 27 by 12. You get 2.25. 2.25 is the cost of one ticket. Then divide 45 by 2.25 and your answer is 20.

Hope that helps!

He buys 20 tickets for $45.

Val is buying tickets for the amusement park.

The total cost of the tickets varies directly with the number of tickets purchased.

She sees that 12 tickets cost $27.

The cost per ticket is given by;

\(\rm = \dfrac{Total \ cost \ of \ tickets }{Total \ number \ of \ tickets}\\\\= \dfrac{27}{12}\\\\= 2.25\)

Therefore,

The number of tickets can Val buy for $45 is;

\(\rm =\dfrac{Total \ number \ of \ tickets}{Cost \ of \ per \ ticket}\\\\= \dfrac{45}{2.25}\\\\= 20\)

Hence, he buys 20 tickets for $45.

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First notice that angle C is a right angle, then:

Now, since this is a right triangle, we can find the measure of angle A using the trigonometric function sine:

In this case, we have the following:

Since the sum of the interior angles of a triangle equals 180, we can find the measure of angle B by solving the following equation:

therefore, angle A measures 48.6 degrees and angle B measures 41.4 degrees

A random sample of 15 people was drawn to investigate the claim that 10% of people are left-handed. The probability that at least 4 but less than 8 people in the sample are left-handed is calculated using a binomial probability calculator or table.

It is reported that 10% of people are left-handed. A random sample of 15 people was drawn across the country to investigate this. Therefore,

a) The "trial" in this context refers to each person in the random sample being classified as left-handed or not. The trials are assumed to be independent because it is reasonable to assume that the left-handedness of one person does not influence the left-handedness of another person in the sample.

b) The binomial random variable in this question is the number of left-handed people in the random sample of 15. It can take on values from 0 to 15, representing the possible counts of left-handed individuals in the sample.

c) The mean of a binomial random variable is given by the formula μ = np, where n is the sample size and p is the probability of success (being left-handed in this case). Here, n = 15 and p = 0.10. Substituting the values, we get μ = 15 * 0.10 = 1.5. The mean of the binomial random variable is 1.5, which represents the expected number of left-handed individuals in the sample of 15 people.

d) To find the probability that at least 4 but less than 8 people are left-handed in the sample, we need to calculate the cumulative probability from 4 to 7. This can be done by summing the individual probabilities for these values. Using a binomial probability calculator or a binomial probability distribution table, we can find the probabilities for each value and sum them up. The resulting probability will give us the desired value.

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Answer:

i think its 832 im not for sure

Step-by-step explanation:

Answer:

1111/2500

Step-by-step explanation:

Answer:

4x² - 12x + 9

4a² - 10a + 25

Step-by-step explanation:

If you want to have some fun with math, you should try to find perfect square trinomials. These are polynomials that look like this:

a² + 2ab + b² = (a + b)²

or

a² - 2ab + b² = (a - b)²

They are called perfect square trinomials because they are the squares of binomials. For example, x² + 2x + 1 is a perfect square trinomial because it is the same as (x + 1)².

How do you spot a perfect square trinomial? Here are some tips:

- The first and last terms must be perfect squares. For example, 4x² and 9 are perfect squares because they are 2x times 2x and 3 times 3.

- The middle term must be double the product of the square roots of the first and last terms. For example, 6x is double of 2x times 3, which are the square roots of 4x² and 9.

Let's practice with some examples:

4x²- 12x + 9

This is a perfect square trinomial because:

- The first and last terms are perfect squares: 4x² = (2x)² and 9 = (3)²

- The middle term is double the product of the square roots of the first and last terms: -12x = 2 * -2x * 3

We can write this polynomial as (2x - 3)².

16x² + 24x - 9

This is not a perfect square trinomial because:

- The first and last terms are perfect squares: 16x² = (4x)² and 9 = (3)²

- The middle term is not double the product of the square roots of the first and last terms: 24x ≠ 2 * -4x * -3

We cannot write this polynomial as a square of a binomial.

4a² - 10a + 25

This is a perfect square trinomial because:

- The first and last terms are perfect squares: 4a² = (2a)² and 25 = (5)²

- The middle term is double the product of the square roots of the first and last terms: -10a = 2 * -2a * -5

We can write this polynomial as (2a - 5)².

36b² - 24b - 16

This is not a perfect square trinomial because:

- The first and last terms are perfect squares: 36b² = (6b)² and 16 = (4)²

- The middle term is not double the product of the square roots of the first and last terms: -24b ≠ 2 * -6b * -4

We cannot write this polynomial as a square of a binomial.

Now you know how to find perfect square trinomials. They are fun, right?

The polynomials that are perfect square trinomials are:

a. 4x² - 12x + 9 = (2x - 3)^2 c. 4a² - 10a + 25 = (2a - 5)²

The equation for the line of best fit is y = -5000/3x + 15000

From the question, we have the following parameters that can be used in our computation:

The scatter plot

When the line of best fit is drawn, we have the following points

(3, 10000) and (0, 15000)

The linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 15000

Using the other point, we have

10000 = 3m + 15000

So, we have

3m = -5000

Divide by 3

m = -5000/3

Hence, the equation is y = -5000/3x + 15000

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The pairs of triangles can be proven by SAS similarity

From the question, we have the following parameters that can be used in our computation:

The triangles

The SAS similarity is used to check if two triangles are similar by comparing the lengths of the corresponding sides and the angle between the corresponding sides.

Using the above as a guide, we have the following:

The pair of triangles in can be proved by SAS

This is because

The corresponding sides are equal and the angle between them are equal

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Vertical angles are two non-adjacent angles formed by intersecting two lines. The intersection forms two pair of vertical angles. And it is true that:

For the green triangle, we can use the triangle sum theorem, which states that the sum of the internal angles of a triangle is equal to 180, so:

Using the same theorem for the blue triangle:

? = w, therefore, ? = 26

The statement is false. A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart.

An \( \bar{X} \) chart is NOT used to track a process with binary outcome variables. The statement is false.

Explanation: A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart. The values for a variable can be collected and analyzed using process charts. An \( \bar{X} \) chart, commonly known as an x-bar chart, is used to monitor a process with continuous numerical data. A binary outcome variable, on the other hand, has only two possible outcomes (e.g., yes/no, pass/fail, etc.). As a result, binary data is unsuitable for an \( \bar{X} \) chart, which is only used to monitor continuous numerical data.

Variables are values that may be altered in a process, which can affect its results. Variables may be categorized as continuous or discrete, depending on whether they can be measured or counted. Discrete variables, such as the number of employees working on a task or the number of items produced in a process, are quantifiable and can be measured precisely. Continuous variables, such as the temperature, length, or weight, can take on any value over a range and are therefore less specific. The reasons for holding inventory include serving as a buffer against uncertainties, ensuring product availability and preventing stockouts, reducing lead times and transportation costs, taking advantage of discounts and bulk purchasing opportunities, and providing a hedge against inflation and price fluctuations.

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The true statements are: A circle is circumscribed about a triangle if the triangle's vertices are on the circle.,

The intersection of the perpendicular bisectors of a triangle's sides is known as the circumcenter of that particular triangle. In other terms, the circumcenter is the point at which  the bisector of a triangle's sides coincides.

A circle is circumscribed about a triangle if the triangle's vertices are on the circle.
A circle is inscribed in a triangle if the sides of the triangle are tangential to the circle.
The perpendicular bisectors of the sides of a triangle intersect at the circumcenter.

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Answer:

142 506

Step-by-step explanation:

here the order does not matter

Then

we the number of sets is equal to the number of combinations.

Using the formula :

the number of sets is 30C5

\(C{}^{5}_{30}=\frac{30!}{5!\left( 30-5\right) !}\)

      \(=142506\)

There are 142506 ways in which 5 students can be selected out of 30 students.

The selection of 5 students out of 30 students can be achieved with the use of combination since the order of selection is not required to be put into consideration.

By using the formula:

\(\mathbf{^nC_r = \dfrac{n!}{r!(n-r)!}}\)

where;

\(\mathbf{^nC_r = \dfrac{30!}{5!(30-5)!}}\)

\(\mathbf{^nC_r = \dfrac{30!}{5!(25)!}}\)

\(\mathbf{^nC_r = 142506}\)

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A function \(P(t) = 170.(1.30)^t\)  that gives the deer population P(t) on the reservation t years from now

We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.

We could see the deer population grow exponentially since each year there will be 30% more than last year.

Since we know that an exponential growth function is in form:

\(f(x) = a*(1+r)^x\)

where a= initial value, r= growth rate in decimal form.

It is given that a= 170 and r= 30%.    

Let us convert our given growth rate in decimal form.

\(30 percent = \frac{30}{100} = 0.30\)

Upon substituting our given values in exponential function form we will get,

    \(P(t) = 170.(1+0.30)^t\)

⇒ \(P(t)= 170.(1.30)^t\)

Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.

Complete Question:

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.

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Answer:

1.14285714 or 8/7

Step-by-step explanation:

Divide 1 by 7/8 which will give you 8/7 or 1.14285714.

The coefficient for household income growth is statistically significant at the 5% level.

To determine the statistical significance of the coefficient for household income growth, a significance level or alpha is needed. The significance level indicates the threshold below which the coefficient is considered statistically significant.

The given statement states that the coefficient is statistically significant at the 5% level. This means that the probability of observing such a large coefficient due to random chance is less than 5%. In other words, there is strong evidence to suggest that the coefficient is not zero and that there is a significant relationship between household income growth and the variable of interest.

It is important to note that the other options stating significance at the 1% level or 0.73% level would indicate even stronger evidence against the null hypothesis.

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Answer:

C. R90

Step-by-step explanation:

Hope this helps

Answer:

B. R-90

Step-by-step explanation:

from A it goes to B, so minus ninety

To be able to determine how many times we have to travel around the circumference of the Earth to equal the distance from the Earth to the Moon, simply divide the distance from the Moon to the Earth by the circumference of the earth.

This means we have to travel around the circumference of Earth 9.06 times to equal the distance from the Earth to the Moon.

Answer:

ssss

Step-by-step explanation:

dddd

We have to pull 9 marbles from the box to label the box correctly.

Given, three boxes with 10 marbles each can be black or white.

1 box has 10 black marbles, 1 box has 10 white marbles, and 1 box has mixed marbles, could be 1:9 or 5:5, 4:6, etc.

also all the boxes are labeled incorrectly.

we have to find the number of marbles we have to pull to correctly determine the proper labelling for the boxes.

as the box contain 10 marbles, and box contains mixed marbles

so, we have to pull 9 marbles to correctly label the box.

as, we have to check the 9 marbles.

Hence, we have to pull 9 marbles from the box to label the box correctly.

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Answer:

C, D, and G are 130 degrees. A, B, E, and F are all 50 degrees. H is 90 degrees.

A. 50°

B. 50°

C. 130°

D. 130°

E. 50°

F. 50°

G. 130°

H. 90°

The equation in its standard form is  (X-0)² / 2² - (y-0)² / 2² = 1

The equation of a hyperbola written in the form (y−k)2 b2−(x−h)2a2=1.

The center is (h,k), b defines the transverse axis, and a defines the conjugate axis.

The line segment formed by the vertices of a hyperbola.

Standard equation

x²/ a² -  y² /b²  = 1 (foci t on X-axis)

vertex (-2,0) (2, 0) =) α=2

== asymptote y = ±X => " y = ± b/a x

=> b=2

So we can write the equation in its standard form as

(X-0)² / 2² - (y-0)² / 2²  = 1

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Mount Everest, located in the Himalayas, is the highest point on Earth, with its peak reaching an elevation of 8,848.86 meters (29,031.7 feet) above sea level. It is situated on the border between Nepal and China (Tibet Autonomous Region). Mount Everest is part of the Mahalangur mountain range within the Himalayas.

The formation of the Himalayas, including Mount Everest, is attributed to the convergent boundary between the Indian and Eurasian tectonic plates. Around 50 million years ago, the Indian plate, located to the south, began moving northward at a relatively high speed. As the Indian plate collided with the Eurasian plate, it started to subduct beneath it, causing the Eurasian plate to uplift and form the towering peaks of the Himalayas.

The collision of these two massive tectonic plates resulted in the intense compression of the Earth's crust, leading to the creation of the Himalayan mountain range. The forces involved in this collision pushed up layers of sedimentary rock, which were subsequently folded, faulted, and uplifted, eventually forming the majestic peaks that we see today, including Mount Everest.

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(a) the time-domain signal \(x(t)\) is given by \(x(t) = u(t) \cdot \delta(t+2)\).\

(b) the signal \(x(t) = u(t) \cdot \delta(t+2)\) is both causal and absolutely integrable.

(a) To find the time-domain signal \(x(t)\) given the Laplace transform \(X(s) = e^{-2s}\), we need to perform an inverse Laplace transform. In this case, the inverse Laplace transform of \(X(s)\) can be found using the formula:

\[x(t) = \mathcal{L}^{-1}\{X(s)\} = \mathcal{L}^{-1}\{e^{-2s}\}\]

The inverse Laplace transform of \(e^{-2s}\) can be computed using known formulas, specifically:

\[\mathcal{L}^{-1}\{e^{-a s}\} = u(t) \cdot \delta(t-a)\]

where \(u(t)\) is the unit step function and \(\delta(t)\) is the Dirac delta function.

Using this formula, we can determine \(x(t)\) by substituting \(a = -2\):

\[x(t) = u(t) \cdot \delta(t+2)\]

Therefore, the time-domain signal \(x(t)\) is given by \(x(t) = u(t) \cdot \delta(t+2)\).

(b) If a signal is causal and absolutely integrable, it implies that the signal is nonzero only for non-negative values of time and has a finite total energy. In the case of the signal \(x(t) = u(t) \cdot \delta(t+2)\), it is causal because it is multiplied by the unit step function \(u(t)\), which ensures that \(x(t)\) is zero for \(t < 0\).

To determine if \(x(t)\) is absolutely integrable, we need to check the integral of the absolute value of \(x(t)\) over its entire range. In this case, the integral would be:

\[\int_{-\infty}^{\infty} |x(t)| \, dt = \int_{-\infty}^{\infty} |u(t) \cdot \delta(t+2)| \, dt\]

Since the Dirac delta function \(\delta(t+2)\) is zero everywhere except at \(t = -2\), the integral becomes:

\[\int_{-\infty}^{\infty} |x(t)| \, dt = \int_{-\infty}^{\infty} |u(t) \cdot \delta(t+2)| \, dt = \int_{-2}^{-2} |u(t) \cdot \delta(t+2)| \, dt = 0\]

Therefore, the signal \(x(t) = u(t) \cdot \delta(t+2)\) is both causal and absolutely integrable.

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A good way to get a small standard error is to use a Large sample. the correct answer is option 1.

The standard error is a measure of the variability of the sampling distribution of a statistic. A smaller standard error indicates that the statistic is more precise and is likely closer to the true population value.

One way to obtain a smaller standard error is to use a larger sample size. This is because a larger sample size tends to produce a more accurate estimate of the population parameter, with less variability. Therefore, option 1, "Large sample," is the correct answer.

The other options, such as a large population, repeated sampling, small sample, or small population, are not necessarily related to obtaining a small standard error.

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Milan lives 200 miles from the mountains. Let x be Milan's average rate on the trip home. Then, his average rate on the trip there was x - 27.

We know that the distance to the mountains is the same in both directions, so we can set up the following equation:

(x)(4) = (x - 27)(7)

Solving for x, we get x = 44. This means that Milan's average rate on the trip home was 44 mph and his average rate on the trip there was 44 - 27 = 17 mph.

The total distance to the mountains is then 4 * 44 = 176 miles. However, we need to remember that Milan drove there and back, so the total distance is 176 * 2 = 200 miles.

Let x be Milan's average rate on the trip home.

Then, his average rate on the trip there was x - 27.

Set up the equation (x)(4) = (x - 27)(7).

Solve for x, which is 44.

The total distance to the mountains is then 4 * 44 = 176 miles.

Remember that Milan drove there and back, so the total distance is 176 * 2 = 200 miles.

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Answer:

479500

Step-by-step explanation:

42200/8.8 = 4795 x 100 = 479500

Answer:

??

Step-by-step explanation:

Answer:

Ummm, The robber looked at the dinosaur and got scared so he ran away

Step-by-step explanation:

Answer: 880 Trees

Step-by-step explanation:

To determine the number of trees that can be planted on 2 miles of streets, we need to convert the distance from miles to feet and then divide it by the spacing between each tree.

1 mile is equal to 5,280 feet. Therefore, 2 miles would be 2 * 5,280 = 10,560 feet.

If each tree is planted 12 feet apart, we can calculate the number of trees by dividing the total distance by the spacing between each tree:

Number of trees = Total distance / Spacing between each tree

Number of trees = 10,560 feet / 12 feet

Number of trees = 880

Therefore, they can plant 880 trees on 2 miles of streets, assuming each tree is planted 12 feet apart.

45 square feet of glass was used in making this aquarium.

A region's size on a surface is determined by its area. The term "surface area" refers to the area of an open surface or the perimeter of a three-dimensional object, whereas "plane area" refers to the area of a shape or planar lamina.

The base of the aquarium is 6 feet by 2.5 feet, so its area is 6 x 2.5 = 15 square feet.

Since the aquarium is a rectangular prism, it has three sides that are the same size as the base. So, each of the three sides has an area of 15 square feet.

Therefore, the total area of glass used in making the aquarium is 3 x 15 = 45 square feet.

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