When solving for x, the sine of 33º is used. What other angle and trigonometric function could be used to solve for x? a. cos 57º c. tan 57º b. tan 33º d. cos 33º
hurry

Answer:

Step-by-step explanation:

To estimate the required sample size for estimating the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36, we need to use the formula:

n = (Z^2 * p * (1 - p)) / E^2

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (for 95% confidence level, Z ≈ 1.96)

p = estimated proportion (since we have no prior information, we can use p = 0.5, which gives the maximum sample size required)

E = margin of error

Substituting the values into the formula:

n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.36^2

n = (3.8416 * 0.25) / 0.1296

n ≈ 9.6042 / 0.1296

n ≈ 74.0842

Rounding up to the nearest whole number, the required sample size is approximately 75. Therefore, you would need to survey at least 75 randomly selected Americans to estimate the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36.

Answer:

60 u²

Step-by-step explanation:

Finding second diagonal :-

Using formula :-

Answer:

26.2 ft below the surface of the ocean

Step-by-step explanation:

We are told that the diver went 25.55 feet below the surface of the ocean. It means that the diver's distance with respect to surface of ocean will be = -25.55 ft

Now, the diver went down a further 13.5 feet, it means that the diver's distance with respect to surface of ocean will be = -13.5 ft

The diver now rose 12.85 feet which is upwards. It means that the diver's distance with respect to surface of ocean will be = +12.85 ft.

Thus, if his new depth is denoted by y, then the expression to denote this new depth is;

y = -25.55 - 13.5 + 12.85

y = -26.2 ft

Thus, the divers new depth is 26.2 ft below the surface of the ocean

Answer:

RS = 6

Step-by-step explanation:

The line joining the midpoints of 2 sides of a triangle is half the length of the third side, that is

RS = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 12 = 6

Answer:

10.452+6.3

=10.452+6.3

=16.752

Step-by-step explanation:

Answer:

4 is one factor as gcf

Answer: 3968km

Step-by-step explanation:

1. Convert 6 hours 24 minutes into hours. 24 minutes in hours is 24/60=0.4. So 6.4 hours.

2. 620km/h so multiply 620 by 6.4 = 3968km.

If this helped, please give me brainliest!

The distance the airplane flew to the nearest KM is 3968 kilometers.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Boaz went on holiday by airplane.

The flight time was 6 hours 24 minutes.

In decimals,

24/60 = 0.4.

That means,

The flight time was 6.4 hours.

The average speed of the airplane was 620 kilometers per hour.

The distance the airplane flew to the nearest KM,

= 620 x 6.4

= 3968 kilometers.

Therefore,  the airplane flew 3968 kilometers.

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Answer:

$6.50 per bag of popcorn

Step-by-step explanation:

let a bag of popcorn be represented by p and a candy bar be b

28p + 40b= $282

17p + 20b= $160.50

this is an example of stimatanelous equations

so you have to double the second equation to give 34p + 40b =$321

subtract the equations to give one

6p =$39

divide $39 by 6 to give the value of one bag of popcorn = $6.50

To find the ground distance from the base of the tower to the fire, we can use trigonometry and the angle of depression. Let's denote the ground distance as "d."

We have a right triangle formed by the height of the tower (260 ft), the ground distance (d), and the angle of depression (6.0°). The height of the tower is the opposite side of the right angle, and the ground distance is the adjacent side.

Using the trigonometric ratio for tangent (tan), we can set up the following equation:

tan(6.0°) = opposite/adjacent

tan(6.0°) = 260/d

Now, we can solve for "d" by rearranging the equation:

d = 260 / tan(6.0°)

Using a calculator, we find that tan(6.0°) is approximately 0.1051. Therefore: d = 260 / 0.1051 ≈ 2473.102 ft

Rounding to three significant digits, the ground distance from the base of the tower to the fire is approximately 2473 ft.

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The main goal of data democratization is to make data accessible to all users. Option (a) is correct.

Given the primary goal of data democratization.

Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.

Therefore, the main goal of data democratization is to make data accessible to all users.

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Answer:

196

Step-by-step explanation:

70% multiply by 4/5(80%) which is 56%

56% times 350

The angle for shooting laser gun should be 89.98°.

The vertical height where a tiny but horrible alien is standing is given as 443443443 meters. The horizontal distance of a men in black agent from building is given in the question as 181818 meters. So, let us assume the angle formed to be theta (θ).

Writing the formula for tan theta, that relates the given height and distance

Now, tan θ = vertical height ÷ horizontal distance

Keep the values in above mentioned equation of theta to find the angle.

tan θ = \(\frac{443443443}{181818}\)

Performing division to find the tan theta and subsequently calculate the angle

tan θ = 2438.94

θ = tan⁻¹ 2438.94

Calculating tan inverse to find the value of theta

θ = 89.98°

Therefore, the  angle for shooting laser gun by a men in black agent  should be 89.98°.

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Answer:

8

Step-by-step explanation:

If my calculations are correct the third side is 8

Answer: (1,3) (3, infinite)

Step-by-step explanation:

i think this is right

The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of (-1,3) ∪ (3,∞)

A graph can be defined as "pictorial representation or the diagram that represent a data or values in an organized manner".

According to the question,

The graph of function f(x) =  4/(x² - 2x - 3).

The values (-1,3) ∪ (3,∞) substitute in the given function

f(-1) = 4/0 = undefined

f(3)= 4/0 = undefined

f(∞)= undefined

Hence, The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of

(-1,3) ∪ (3,∞).

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Aperture affects diffraction in that the size of the aperture affects the angular size of the diffraction pattern.

When the aperture is small, the diffraction pattern will be sharper, with more distinct peaks and valleys in the pattern. As the aperture grows, the peaks and valleys become less distinct, and the diffraction pattern becomes more spread out, forming a larger angle. The larger the aperture, the lower the angular resolution of the diffraction pattern. This is because the diffraction pattern is the result of the interference of light waves, and larger apertures allow more waves to interfere with each other, resulting in a more spread out pattern. In addition, as the aperture grows, the light becomes more spread out and less concentrated, resulting in a decrease in contrast.

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Answer:

Option C

Step-by-step explanation:

A linear function is one that is written as y = f(x) = mx + b

It thus cannot have square roots or exponents

A) A does not follow the format, as "y" is not isolated onto one side.

B) B does not follow the format, as there is a square root

C) C follows the format, because the "y" is on its own side and there are no exponents

D) D does not follow the format because x is being squared.

The only option that follows the format y = mx + b is option C, so that is the answer.

The percent change in size from 983 to 2,349 square feet was 138.8%.

The average American home swelled from 983 square feet in 1950 to 2,349 square feet in 2004, representing a change of 1366 square feet. This change can be expressed as a percent change by dividing the change (1366 square feet) by the starting value (983 square feet). The resulting percent change is 138.8%.

To calculate the percent change, we can use the following equation:
Percent Change = (Ending Value - Starting Value) / Starting Value x 100
Using this equation, the percent change in the size of the average American home is calculated as follows:
Percent Change = (2349 - 983) / 983 x 100 = 138.8%

This means that the average American home increased by 138.8% in size between 1950 and 2004. This is an impressive rate of growth and may be attributed to a number of factors. In 1950, the United States was in the midst of a period of rapid economic growth, and this may have allowed people to buy larger homes and upgrade to more luxurious accommodations. In addition, advances in technology and manufacturing may have made larger homes more affordable for more people.

Whatever the cause of the growth in home size, it is clear that the average American home saw a substantial increase in size between 1950 and 2004. The percent change in size from 983 to 2,349 square feet was 138.8%.

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The sample in this example is D) the small group of college students who are observed. The correct option is D.

The researcher has identified college students as her group of interest, but it is not feasible or practical to observe or study all college students. Therefore, she needs to select a subset of college students, which is known as a sample. In this case, she has chosen to observe a small group of local college students, which is the sample. It is important to note that the sample needs to be representative of the larger population of interest, in this case, all college students, in order for the results to be applicable to the larger group.

While the sample in this example is only a small group of local college students, the researcher would need to ensure that they are representative of all college students in order for the results to be generalizable.

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Answer:

6450

Step-by-step explanation:

Answer:

6450

Step-by-step explanation:

Multiply the value by 1000.

The given series is convergent and its sum is 6e.

Given series is [∞] 6en 3 / n(n+1);

n = 1.

The given series can be written as:

[∞] 6en 3 / n(n+1)

= [∞] 6en (1/n - 1/(n+1));

n = 1

It is a telescoping series.

Therefore, the nth term is given by the expression:

an = 6en (1/n - 1/(n+1))an

= 6en / n(n+1)

We need to check whether the series is convergent or divergent.

Using the Integral Test we can determine whether the series is convergent or divergent.

Let's use this test for our given series:

Integral test, ∫[1,∞] 6en / n(n+1) dn

6∫[1,∞] en / n(n+1) dn

By comparing this expression with the known integral function:

∫[1,∞] 1 / xα dx;

α > 1

Here, α = 2.

So, we can write:

nα = n²

Therefore, ∫[1,∞] 1 / n² dn

Consequently, we can solve the above integral as follows:

6∫[1,∞] en / n(n+1) dn

= 6[en/(n+1)] [1,∞)

= 6en / (n+1) |[1,∞)

Substituting the values, we get:

6en / (n+1)|[1,∞)

= 6e

Here, the value is a finite quantity.

Therefore, the given series is convergent and its sum is 6e.

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Answer:

answer is -9

Step-by-step explanation:

5(x+1)=4(x-1)x

5x+5=4x-4+x

5x+5=4x+x-4

5x+5=5x-4

5x-5x=-4-5

x=-9

Answer:

x less thsn 4

Step-by-step explanation:

hope it helps

Answer: C. x less than 4

Step-by-step explanation:  X is not the variable being subtracted, and 4 is the variable being subtracted, therefore the answer is C. x less than 4 because this does not describe x - 4

Answer:

The answer is x=9 :)

Answer:

It should be the first answer.

Step-by-step explanation:

The first answer says "If Nemo is a fish, then he swims". That makes sense. Then the second one says "If Nemo does swim, then he is a fish". That would make sense, but if my name was Nemo, I can swim. That doesn't mean I'm a fish. The the third one says "If Nemo is not a fish, then he doesn't swim". That doesn't make sense. Say my name is Nemo. I'm not a fish. I can swim though!

Answer:

If Nemo is a fish, then he swims.

Step-by-step explanation:

The contrapositive is

If A implies B then not B implies not A.

If Nemo does not swim, then he is not a fish, so:

The contrapositive is:  If Nemo is not not a fish then he does not not swim.

= If Nemo is a fish, then he swims.

For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

Answer:

\(7a^2b^2\left(a-2b\right)\)

Step-by-step explanation:

\(7a^3b^2 - 14a^2b^3\)

\(7a^2b^2(a)-7a^2b^2(-2b)\)

\(=7a^2b^2\left(a-2b\right)\)

Answer:

$2800

Step-by-step explanation:

The amount given every 7 years divided by the percent rate

84 / 3% = x

3% -> .03

84 / .03 = 2800

Answer: 103

Step-by-step explanation:i think

Answer: 140 I think actually

Step-by-step explanation: Because if you use the well comonlmonly used method you would see that MAYBE the equivilancalence is 140, not  130.

The larger sample size or a smaller significance level would increase the power for both cases.

Given data:The heat evolved in calories per gram of a cement mixture is approximately normally distributed.The mean is thought to be 100 and the standard deviation is 2. We wish to test H0:  μ = 100 versus H1: μ ≠ 100 with a sample of n = 9 specimens.(a) If the rejection region is defined as  or , find the type I error probability.The type I error probability is the probability of rejecting the null hypothesis H0 when it is true. It is given by the significance level or alpha (α).For two-tailed tests, the rejection region is defined by two critical values or z-scores, one in each tail.The z-score for  is:z = (98.5 - 100) / (2 / √9) = -2.25The corresponding probability is P(Z ≤ -2.25) = 0.0122.The z-score for  is:z = (101.5 - 100) / (2 / √9) = 2.25The corresponding probability is P(Z ≥ 2.25) = 0.0122.The total type I error probability is the sum of the two tail probabilities: P(Type I error) = 0.0122 + 0.0122 = 0.0244(b) Find for the case where the true mean heat evolved is 103.The sample mean is still assumed to be 100, but the true mean is 103. We need to find the probability of rejecting H0 when H1 is true, that is, the power of the test. The power is given by 1 - β, where β is the type II error probability.β depends on the true mean, the sample size, the significance level, and the population standard deviation.β can be calculated using a power table or a power calculator.

For the normal distribution, β can be approximated using the non-central t-distribution with n - 1 degrees of freedom and non-centrality parameter δ = (μ - μ0) / (σ / √n).Here, μ0 = 100, μ = 103, σ = 2, n = 9, α = 0.05 (two-tailed).δ = (103 - 100) / (2 / √9) = 4.5t = t(0.975, 8, 4.5) = 2.31β = P(Type II error) = P(|t| < 2.31) = 0.1335Power = 1 - β = 0.8665(c) Find for the case where the true mean heat evolved is 105.The sample mean is still assumed to be 100, but the true mean is 105. We need to find the probability of rejecting H0 when H1 is true, that is, the power of the test. The power is given by 1 - β, where β is the type II error probability.β depends on the true mean, the sample size, the significance level, and the population standard deviation.β can be calculated using a power table or a power calculator. For the normal distribution, β can be approximated using the non-central t-distribution with n - 1 degrees of freedom and non-centrality parameter δ = (μ - μ0) / (σ / √n).Here, μ0 = 100, μ = 105, σ = 2, n = 9, α = 0.05 (two-tailed).δ = (105 - 100) / (2 / √9) = 6.75t = t(0.975, 8, 6.75) = 3.12β = P(Type II error) = P(|t| < 3.12) = 0.0457Power = 1 - β = 0.9543This value of power is smaller than the one found in part (b) because the true mean is farther away from the null value, and the sample size is fixed. A larger sample size or a smaller significance level would increase the power for both cases.

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