Can someone please help me ill give them brainliest awnser if its correct

it's also worth 20 pts

Given:

In ΔABC, ∠C = 90°, ∠A = 50° and AB = 3 unit.

To find the value of BC.

Formula:

By Trigonometric Ratio we get,

[tex]sin \ \theta=\frac{opposite}{Hypotenuse}[/tex]

Now,

With respect to θ = 50°, AB is the hypotenuse and AB is the opposite side.

So,

[tex]sin \ 50^{\circ}=\frac{BC}{AB}[/tex]

[tex]sin \ 50^{\circ}=\frac{BC}{3}[/tex]

     [tex]BC = 3 \times sin 50^{\circ}[/tex]

     [tex]BC = 2.298 = 2.3[/tex] (approx)

Hence,

The value of BC is 2.3 units.

Answer:

a) We need to conduct a hypothesis in order to check if the true average number of days in the past month that adults walked for the purpose of health or recreation is lower than 5.5 days (a;ternative hypothesis) , the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 5.5[/tex]  

Alternative hypothesis:[tex]\mu < 5.5[/tex]  

b) For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

c) For this case the significance level is given [tex]\alpha=0.01[/tex] and we want to find the critical value, so we need to find a critical value on the normal standard distribution who accumulate 0.01 of the area on the right tail and if we use excel or a table we got:

[tex]z_{cric}= -2.326[/tex]

And the rejection zone would be: [tex] (\infty ,-2.326)[/tex]

And the region is on the figure attached

Step-by-step explanation:

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true average number of days in the past month that adults walked for the purpose of health or recreation is lower than 5.5 days (a;ternative hypothesis) , the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 5.5[/tex]  

Alternative hypothesis:[tex]\mu < 5.5[/tex]  

Part b

For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

Part c

For this case the significance level is given [tex]\alpha=0.01[/tex]and we want to find the critical value, so we need to find a critical value on the normal standard distribution who accumulate 0.01 of the area on the right tail and if we use excel or a table we got:

[tex]z_{cric}= -2.326[/tex]

And the rejection zone would be: [tex] (\infty ,-2.326)[/tex]

And the region is on the figure attached

Answer:

0.64 ± 0.1117 or

[tex]0.64\pm 1.645*\sqrt{\frac{0.64*(0.36)}{50}}[/tex]

Step-by-step explanation:

Sample size (n) = 50

Z-score for a 90% confidence interval (z) = 1.645

Proportion of students that read at least one book (p):

[tex]p=\frac{32}{50}=0.64[/tex]

The confidence interval is given by:

[tex]p\pm z*\sqrt{\frac{p*(1-p)}{n} }[/tex]

Applying the given data:

[tex]0.64\pm 1.645*\sqrt{\frac{0.64*(1-0.64)}{50}}\\ 0.64\pm 0.1117[/tex]

The confidence interval is 0.64 ± 0.1117

The 90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month is [tex]0.64\pm 0.11178[/tex].

Given information:

From a random sample of 50 (n) students, Alma found that 32 students read at least 1 book last month.

Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book.

It is required to find the 90 percentage confidence interval for the proportion of all students in her district who read at least 1 book last month.

Now, from tha table, the z-score of 90 percent confidence level is,

[tex]z=1.645[/tex]

The probability p for the proportion of students who read atleast one book is,

[tex]p=\dfrac{32}{50}\\p=0.64[/tex]

So, the 90 percent confidence interval will be calculated as,

[tex]p\pm z\sqrt{\dfrac{p(1-p)}{n}}=0.64\pm 1.645\times \sqrt{\dfrac{0.64(1-0.64)}{50}}\\=0.64\pm 0.11178[/tex]

Therefore, the 90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month is [tex]0.64\pm 0.11178[/tex].

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Answer:

d = 11

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]81[/tex] is [tex]9^2[/tex] which happens to be [tex](3^2)^2[/tex] or [tex]3^4[/tex].

So [tex]\sqrt[4]{81} =3[/tex]

this eliminates options C and D

It can't be option B as both b and c aren't 4th rooted.

Answer:

20%  

Step-by-step explanation:

Find the increase (subtract original number with final):

42-35= 7

Find the percent change (divide the increase by original number, then multiply by 100 to find the percentage):

[tex]\frac{7}{35}[/tex]*100=20

The percent change from 35 students to 42 students is 20%. This is calculated by using the formula for percent change: ((New Amount - Original Amount) / Original Amount) * 100.

In this case, we are trying to calculate the percent change in the number of students in Mrs. Mroc's class. The formula for percent change is:

((New Amount - Original Amount) / Original Amount) * 100

The New Amount is 42 (the number of students next year), and the Original Amount is 35 (the current number of students). So the percent change would be (((42-35)/35)*100), which equals 20%.

So, if Mrs. Mroc's class increases from 35 students to 42 students next year, the percent change will be 20%.

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Answer:

136=x

Step-by-step explanation:

When an angle is shown, the one opposite of it is equal to the forst equation. The bottom angles are equal to 360ñ so if you take 46x2=92. Subtract 92 by 360 to get 268. Divide it by 2 to get one of the bigger angles, which is 134 degrees. And as for the top, one angle on the bottom is equal to the same spot on the top. so, 136=x

Answer :

x = 134°

Step by step :

46° + x = 180°

x = 180° - 46°

x = 134°

Answer: A. $1300

Step-by-step explanation:

The initial value is $7000

The Salvage value is $500

The car will depreciate under a straight-line method, meaning it will lose $6500 value in 5 years.

6500 / 5 = 1300

Answer:

With n = 50, both conditions(np > 5, n(1-p) > 5) are satisfied, so a random sample of 50 cars would have been large enough.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to the normal distribution if:

np > 5, n(1-p) > 5

70% of the drivers traveling on a major interstate highway exceed the speed limit.

So p = 0.7.

Would a random sample of 50 cars have been large enough and why?

With n = 50

np = 50*0.7 = 35 > 5

n(1-p) = 50*0.3 = 15 > 5

With n = 50, both conditions(np > 5, n(1-p) > 5) are satisfied, so a random sample of 50 cars would have been large enough.

Final answer:

The point estimate for the proportion of college students who prefer drink A is found by averaging the lower and upper bounds of the 95% confidence interval, which yields an estimate of 0.442 or 44.2%.

Explanation:

The point estimate for the true proportion of college students who prefer drink A is the midpoint of the 95% confidence interval. To find the point estimate, you sum the lower and upper bounds of the interval and divide by 2. In this case, the confidence interval is (.262, .622). The calculation for the point estimate is (0.262 + 0.622) / 2, which equals 0.442. Therefore, the point estimate is 0.442, which means that approximately 44.2% of college students prefer drink A.

Step-by-step explanation:

One year is 12 months.  12 mm is 1.2 cm.

Write and solve a proportion

1.2 cm / 4 months = x / 12 months

x = 3.6 cm

Answer:

w= -0.163265306122449

Step-by-step explanation:

49w = -8

divide both sides by 49

w= -8/49 = -0.163265306122449

check answer by multiplying -0.163265306122449  by 49

49 * -0.163265306122449 = -8

Answer:

w = -8/49

Step-by-step explanation:

49w = −8

Divide each side by 49

49w/49 = -8/49

w = -8/49

Answer:

A. when working on an online class students have more freedom to choose an environment in which they are most comfortable

Step-by-step explanation:

some students do better at home some do better in a traditional setting but being online lets you change your setting to anywhere with online access

Answer:

The randomization will be centered around 0.5

Step-by-step explanation:

n = 30

Null hypothesis, H₀ : p = 0.5

Alternative hypothesis,  : p > 0.5

The randomization will be centered around 0.5

The indication of where the randomization distribution will be centered shows that the randomization distribution is always centered at the value of the parameter given in the null hypothesis, which is p = 0.5.

Thus, the randomization distribution is always centered at the value of the parameter given in the null hypothesis, which is p = 0.5.

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Answer:

Ok. so the Place value is 70000 and the face value is 7. Face value of a digit in a number is the digit itself.

More clearly, face value of a digit always remains same irrespective of the position where it is located

Place value of a digit in a number is the digit multiplied by thousand or hundred or whatever place it is situated.

Hope this helped.

Step-by-step explanation:

Answer:

The monthly cost is $690.17.

Step-by-step explanation:

Each semester costs $4100.

In each semester, there are $41 spent on textbooks.

In a year:

2*4100 + 2*41 = $8282

Monthly cost

A year has 12 months. So

8282/12 = 690.17.

The monthly cost is $690.17.

Answer:

9 cups

Step-by-step explanation:

3/4 cups of sugar for 14 cookies

There are 168÷14 = 12 set of 14 cookies in 168

So we need 12 times 3/4 sugar

12 × 3/4 = 9 cups of sugar needed

Answer:

A^B = A*A*A*... (B number of times)

Answer:

5040$

Step-by-step explanation:

28000 x .18 = 5040

We are given that if Tiffany closes any car on a car she gets 18% as commission. For a car that cost $28,000 her commission will be  $5,040

Given data

Commission = 18%

Cost of car  =  $ 28,000.00

Let us find 18% of  $28,000.00

Commission = 18/100* 28,000.00

Commission = 0.18* 28,000.00

Commission = $5,040

Hence her commission will be: $5,040

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Answer: slope and x-intercept

y-intercept and a point that is not an intercept is the information about the graph of the relationship is given. So, the correct answer is E. y-intercept and a point that is not an intercept

Let's analyze the information given in the problem:

1. The charity organization sold 18 tickets to cover necessary production costs.

2. They sold each ticket for $45.

3. They want to determine the net profit when they have sold 2 tickets.

We are given a specific point on the graph: (x = 2, y = net profit when 2 tickets are sold).

Now, let's calculate the net profit when 2 tickets are sold:

Net profit when 2 tickets are sold = Total revenue - Total production costs

Total revenue = 2 tickets * $45 per ticket = $90

Total production costs = $18 (to cover necessary production costs)

Net profit = $90 - $18 = $72

Now, let's look at the options:

A. Slope and x-intercept: We do not have the slope or the x-intercept of the graph.

B. Slope and y-intercept: We do not have the slope or the y-intercept of the graph.

C. Slope and a point that is not an intercept: We have a point on the graph, but we do not have the slope.

D. x-intercept and y-intercept: We do not have the x-intercept or the y-intercept of the graph.

E. y-intercept and a point that is not an intercept: We have the y-intercept (net profit when 0 tickets are sold, which is $18) and a point on the graph (net profit when 2 tickets are sold, which is $72).

F. Two points that are not intercepts: We have one point on the graph (net profit when 2 tickets are sold, which is $72), but we do not have another point.

So, Based on the information given, the correct option is:

E. y-intercept and a point that is not an intercept

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Correct Question is:

A charity organization had to sell 18 tickets to their fundraiser just to cover necessary production costs.

They sold each ticket for $45.

Let y represent the net profit (in dollars) when they have sold 2 tickets.

Which of the following information about the graph of the relationship is given?

A. Slope and x- intercept

B. Slope and y-intercept

C. Slope and a point that is not an intercept

D. x-intercept and y intercept

E. y-intercept and a point that is not an intercept

F. Two points that are not intercepts

Answer:

C: The area of ABC is 1 square unit greater than the

area of ADEF

Step-by-step explanation:

Due to the area of triangle ABC and triangle DEF, the ABC triangle has dimensions that are 1 square unit greater that the area of ADEF. This is because the lines have different lengths. Good Luck on the Rest of Your Questions!!

Answer: C

Step-by-step explanation:

Given:

Given that the radius of the circle is 12 inches.

The angle of the shaded sector is 210°

We need to determine the area of the shaded sector.

Area of the shaded sector:

The area of the shaded sector can be determined using the formula,

[tex]Area =(\frac{\theta}{360}) \pi r^2[/tex]

Substituting [tex]\theta=210[/tex] and r = 12, we get;

[tex]Area =(\frac{210}{360}) (3.142)(12)^2[/tex]

Simplifying, we get;

[tex]Area =(\frac{210}{360}) (3.142)(144)[/tex]

[tex]Area =263.9 \ in^2[/tex]

Thus, the area of the shaded sector is 263.9 square inches.

Hence, Option c is the correct answer.

Answer:

1/2 chances if getting heads 1/2 for getting tails

Answer:

heads or tails

To find the probability that the archer gets exactly 4 bull's-eyes out of 10 shots, use the binomial probability formula. The probability is approximately 0.221.

To find the probability that the archer gets exactly 4 bull's-eyes out of 10 shots, we can use the binomial probability formula. The formula is:

P(x) = nCx * p^x * (1-p)^(n-x)

Where:

In this case, n = 10, x = 4, and p = 0.53 (since the archer hits the bull's-eye 53% of the time).

Plugging these values into the formula:

P(4) = 10C4 * (0.53)^4 * (1-0.53)^(10-4)

Calculating this gives us P(4) ≈ 0.221

Final answer:

To find the probability of exactly 4 bull's-eyes out of 10 shots for an archer with a 53% success rate, use the binomial probability formula, resulting in approximately a 20.6% chance.

Explanation:

The probability that an archer who hits the bull's-eye 53% of the time getting exactly 4 bull's-eyes out of 10 shots can be calculated using the binomial probability formula: P(X = k) = nCk × p^k × (1 - p)^(n - k), where:

n is the number of trials (10 arrows)

k is the number of successes (4 bull's-eyes)

p is the probability of success on a single trial (0.53)

nCk is the number of combinations of n things taken k at a time

Applying these values:

Calculate the number of combinations for getting 4 successes out of 10 trials:

10C4 = 210.

Calculate the probability of getting exactly 4 bull's-eyes:

P(X = 4) = 210 × (0.53)^4 × (0.47)^6.

Compute the result:

P(X = 4) ≈ 0.206 (rounded to three decimal places).

The archer has approximately a 20.6% chance of hitting exactly 4 bull's-eyes out of 10 shots.

Answer:

2/16

Step-by-step explanation:

1/8 x 2 = 2/16

Both 2 and 16 divide by 8, so one can know this is correct.

Also, both 8 and 16 are divisible by 8, so one can see this is the common denominator.

In the given data set, 12, 8, 6, 6, 9, 8, 7, 11, 6, the value 6 represents the mode.

We are given the following dataset: 12, 8, 6, 6, 9, 8, 7, 11, 6.

Count the frequency of each number:

12 appears 1 time.

8 appears 2 times.

6 appears 3 times.

9 appears 1 time.

7 appears 1 time.

11 appears 1 time.

The number 6 appears 3 times, more frequently than any other number.

By the definition of mode, it is the value that appears most frequently in a data set.

Since 6 occurs more times than any other number in the list, then it is the mode

Answer:

13 cards

Step-by-step explanation:

One deck has 52 cards.

2 decks have 2 * 52 cards, or 104 cards.

104 cards are divided among 8 players.

104/8 = 13

Answer: 13 cards

Answer:

The Answer is 25.5 in

Step-by-step explanation:

What you basically do is

17² * 17²= 289

19² * 19²= 361

Then add 289+361=650

Then u have to Divide

Then you should get 25.495

Then Round to the nearest Tenth and you Get (25.5 in)

Hope This was Right

Answer:

25.49

Step-by-step explanation:

To find the hypotenuse for right triangles, we use the Pythagorean Theorem or

[tex]A^{2} +B^{2} = C^{2}[/tex]

Keep in mind we only use this for right triangles

With that in mind, lets solve for side c

[tex]A^{2} + B^{2} = C^{2} \\19^{2} +17^{2} = C^{2} \\(19*19) + (17*17) = C^{2} \\361+ 289 = 650\\C^{2} = 650\\\sqrt{650} = C\\C = 5\sqrt{26} or 25.49[/tex]

Hope This Helps!