help me with trigonometry

If a hypothesis test fails to reject the null hypothesis that the mean score for all NBA games is less than 97 points per game, it suggests that there is not enough evidence to conclude that the mean score is higher than or equal to 97 points per game.

If a hypothesis test fails to reject the null hypothesis that the mean score for all NBA games during a particular season is less than 97 points per game, it means that there is not enough evidence to support the alternative hypothesis that the mean score is greater than or equal to 97 points per game.

In other words, the data does not provide sufficient statistical evidence to conclude that the mean score is higher than the hypothesized value.

Interpreting a non-rejection of the null hypothesis requires considering the potential implications. It does not imply that the null hypothesis is true or that the mean score is definitively below 97 points per game.

Instead, it suggests that based on the available data and the chosen significance level, the evidence is insufficient to support a conclusion in favor of the alternative hypothesis.

There could be various reasons for failing to reject the null hypothesis. It is possible that the true mean score is indeed less than 97 points per game, and the data provided in the hypothesis test aligns with this reality.

Alternatively, it could also be due to factors such as sample size limitations, variability in the data, or other sources of uncertainty that prevent the detection of a significant difference.

In summary, a non-rejection of the null hypothesis in a hypothesis test implies that the evidence does not support a conclusion in favor of the alternative hypothesis, but it does not provide conclusive evidence regarding the true value of the mean score.

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a) The upper bound of the 95% confidence interval is given as follows: 1024 hours.

b) The lower bound of the 95% confidence interval is given as follows: 1004 hours, which is the same difference from the mean as the upper bound, just below the mean.

We use the t-distribution to obtain the confidence interval when we have the sample standard deviation.

The equation for the bounds of the confidence interval is presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.

The parameters for this problem are given as follows:

\(\overline{x} = 1014, s = 25, n = 25\)

The lower bound of the interval is then given as follows:

1014 - 2.0639 x 25/5 = 1004.

The upper bound of the interval is then given as follows:

1014 - 2.0639 x 25/5 = 1024.

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The answer is 1004.

Given data: $n=25$, $\bar{x}=1014$ and $\sigma=25$.

The sample mean $\bar{x}$ = 1014 and sample size n = 25We can construct 95% confidence interval as follows:Step 1: Find the sample mean $\bar{x}$ = 1014Step 2:

Find the standard error,SE = $\frac{\sigma}{\sqrt{n}}$ =$\frac{25}{\sqrt{25}}$=5Step 3: Find the margin of error,

ME = $z_{\frac{\alpha}{2}}$ x SE , where $\alpha$=0.05, z-value for 0.025 = 1.96ME=1.96 x 5 = 9.8Step 4: Find the lower and upper limit for the confidence interval.

Lower limit = $\bar{x}$ - ME= 1014 - 9.8= 1004.2Upper limit = $\bar{x}$ + ME= 1014 + 9.8= 1023.8Thus the 95\% two-sided confidence interval is $(1004,1024)$.Lower-confidence bound on the mean life with 95% CI is:

Lower confidence bound = $\bar{x}$ - $z_{\alpha}$ x $\frac{\sigma}{\sqrt{n}}$=1014 - 1.96 x $\frac{25}{\sqrt{25}}$=1014-1.96x5=1004.2.

Comparing the lower bound of this confidence interval with the one in part (a), the lower bound in part (b) is the same as the lower limit in part (a). Therefore, the answer is 1004.

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The direct line distance between checkpoint 2 and checkpoint 3 is 4.24 miles.

Direct Line is an insurance company based in the UK. It offers car, home, travel, pet and landlord insurance policies to customers. It was established in 1985 and has grown to become one of the leading providers of insurance in the UK. Direct Line was the first company to offer car insurance over the telephone and is now one of the most recognisable brands in the country.

This can be calculated by using the Pythagorean theorem, which states that the square of the hypotenuse (the longest side of a right triangle) is equal to the sum of the squares of the other two sides.
In this case, the hypotenuse is 4.24 miles, the side connecting checkpoint 2 and 3 is 3 miles, and the side connecting checkpoint 2 and 4 is 3.61 miles.
Therefore, the equation is 4.24² = 3² + 3.61²,
which can be solved to get 4.24 miles.

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The polynomial function f(x)=5 (2x+3)(x+4) (x − 2) has exactly 3 zeros. So statement A is correct.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is f(x)=5(2x+3)(x+4) (x − 2)

The roots we can find by using 2x+3=0, x+4=0 and x-2=0

x=-3/2

x+4=0

x=-4

and x=2 are the roots of function.

Roots are nothing but zeros of the polynomial.

The function has exactly 3 zeros.

Hence, the polynomial function f(x)=5 (2x+3)(x+4) (x − 2) has exactly 3 zeros. So statement A is correct.

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Step 1: Use the slope formula y₂ - y₁/x₂ - x₁ to find the slope.

\(\frac{0 - (-4)}{-3 - 3}\\ \\\frac{4}{-6} = -\frac{2}{3}\)

Step 2: Plug the slope we found and one point into the slope-intercept formula, y = mx + b.

\(y = mx + b\\\\0 = -\frac{2}{3}(6) + b\\\\0 = -4 + b\\\\4 = b\)

Step 3: Put it all together.

\(y = -\frac{2}{3}x + 4\)

!! for 2 and 3 these values are rounded

1) 693.5/18,250 = .038 x 100% = 3.8% commission

2) ~118.5%  --- divide tip/meal then x 100%

3) ~21.33%   divide sale price/over org., then subtract by 100%

The given statement in the form of inequality is given as -

c - 6 > 24.

An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > c

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement as -

"Six subtracted from c is greater than 24"

We can write the inequality as -

c - 6 > 24

Therefore, the given statement in the form of inequality is given as -

c - 6 > 24.

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{Question in english -

Six subtracted from c is greater than 24}

Answer:

is X= Y= -2 3

Step-by-step explanation:

is easy question

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

c=1875/15

Explanation:

The equation to find the cost of each monitor is given as:

To write a division equation that can be used to find the cost of each computer monitor, we divide each side of the equation by 15.

In this relationship between the number of miles per gallon on the highway and that in the city for some cars are:

For each additional city mpg, the highway value goes up by

0.9478 mpg.

And It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.

According to the statement

we have given that the relationship between the number of miles per gallon on the highway in the graphical representation and that in the city for some cars.

And we have to give some reasons for the given statements.

So, For this purpose, we know that the

A. In this statement we have to tell that the what is shown in the given relationship in the graph.

So, For each additional city mpg, the highway value goes up by

0.9478 mpg.

And the second statement is

B. I this we have to tell the intercept of the plane in the given Relationship.

So, It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.

So, In this relationship between the number of miles per gallon on the highway and that in the city for some cars are:

For each additional city mpg, the highway value goes up by

0.9478 mpg.

And It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.

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Disclaimer: This question was incomplete. Pleas find the full content below.

Question:

The figure shows the relationship between the number of miles per gallon on the highway and that in the city for some cars.

a. Report the slope and explain what it means.

b. Either interpret the intercept​ (7.792) or explain why it is not appropriate to interpret the intercept.

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The additive identity in the ring L is 0L = 1, and the multiplicative identity is 1L = 1. This can be proven through the calculations a ⊕ 1L = a and a ⊗ 1L = 1.

To find the additive identity, we need to find an element in L, denoted as 0L, such that a ⊕ 0L = a for all a in L.

Using the given operation a ⊕ b = a + b - 1, we have:

a ⊕ 0L = a + 0L - 1 = a

This implies that 0L = 1, as a + 1 - 1 = a for any element a in L.

Now, let's find the multiplicative identity, denoted as 1L, such that a ⊗ 1L = a for all a in L.

Using the given operation a ⊗ b = ab - (a + b) + 2, we have:

a ⊗ 1L = a * 1L - (a + 1L) + 2 = a - (a + 1) + 2 = 1

This implies that 1L = 1, as a - (a + 1) + 2 = 1 for any element a in L.

To prove these results, we can verify them with two calculations:

1. For additive identity:

a ⊕ 1L = a + 1L - 1 = a + 1 - 1 = a

2. For multiplicative identity:

a ⊗ 1L = a * 1L - (a + 1L) + 2 = a - (a + 1) + 2 = 1

These calculations demonstrate that 0L = 1 is the additive identity and 1L = 1 is the multiplicative identity in the ring L with the given operations.

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Answer:

Step-by-step explanation:

R40×5%=2

R40-2=R38

40%×38=R15,2

15,2+40=55,2

55,2÷50=R1,10

i didnt do the radio sum...

The scale being used in Mr. Bob the Builder's map is 1 inch on the map corresponds to 156 inches in real life.

Using the given measurements, we can create a proportion to determine Mr. Bob the Builder's map's scale:

In real life, 16 inches on the map equal 208 feet.

Let's use the same measurement for the units. It is convenient to use the same unit of measurement on both sides of the proportion because we are attempting to establish the scale. How about we convert 208 feet to inches:

1 foot equals 12 inches; 208 feet equals 208 times 12 inches, or 2496 inches. Now we know the ratio:

We can cross-multiply to solve for the scale factor: 16 inches (on the map) x 2496 inches (in real life).

16 * 1 = 2496 * x

16 = 2496x

x = 16/2496

Improving on the part:

x = 1/156, so Mr. Bob the Builder's map uses a scale where one inch on the map is equivalent to 156 inches in real life.

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Therefore, to determine if a linear transformation is an isomorphism, we can check if the determinant is non-zero or if the kernel is only the zero vector.

An isomorphism is a bijective linear transformation, that is both one-to-one and onto. The determinant of a linear transformation can help determine if it is an isomorphism. If the determinant is non-zero, the linear transformation is invertible, and therefore an isomorphism. A linear transformation is an isomorphism if and only if its determinant is nonzero.
Additionally, another way to check if a linear transformation is an isomorphism is to check if the kernel, which is the set of all vectors that get mapped to zero, is equal to only the zero vector. If the kernel is only the zero vector, then the linear transformation is one-to-one and therefore an isomorphism.

Therefore, to determine if a linear transformation is an isomorphism, we can check if the determinant is non-zero or if the kernel is only the zero vector.

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Answer: D. Population: all the first-year students at the university

Sample: a group of 185 incoming first-year students

Conclusion: The reason for the majority of the students to choose the university was affordability.

Answer:

D. Population: all the first-year students at the university

Sample: a group of 185 incoming first-year students

Conclusion: The reason for the majority of the students to choose the university was affordability..

Answer:

Mango = 0.5, Peach = 1.75

Step-by-step explanation:

Let x represent the price of mango

Let y represent the price of peach

Melanie: 8x + 6y = 14.50

Jaya: 4x + 7y = 14.25

Isolate for a variable in one of the equations (just pick a random one, you don't have to pick mine)

4x + 7y = 14.25 => x = (14.25 - 7y)/4 = 3.5625 - 7/4y

Plug into other equation

8x + 6y = 14.50

8(3.5625 - 7/4y) + 6y = 14.5

28.5 - 14y + 6y = 14.5

28.5 - 14.5 = 14y - 6y

14 = 8y

y = 1.75

4x + 7y = 14.25

4x + 7(1.75) = 14.25

4x + 12.25 = 14.25

4x = 2

x = 0.5

Answer:

A. tangent

Step-by-step explanation:

Hi there!

Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.

I hope this helps!

It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a).

If two events "A" and "B" are such that the occurrence of either one of the two events before the occurrence of another event affects the event occurring later, the probability that event "A" will happen given that the event "B" has occurred is:

\($P(A \mid B)=\frac{P(A \cap B)}{P(B)}$$\)

a) The likelihood that the person bought a small cup, P(S) = 0.34

The likelihood that the person bought a cup of decaf coffee, P(D) = 0.40

b) If the selected individual purchased a small cup then the probability that he/she chose decaf coffee:

\($P(D \mid S) & =\frac{P(S \cap D)}{P(S)} \\\)

\($& =\frac{0.20}{0.34} \\\)

= 0.5882

If it is a tiny cup, the likelihood that someone bought a decaf coffee is 0.5882.

c) If we learn that the selected individual purchased decaf, the probability that small size was selected

\($P(S \mid D) & =\frac{P(S \cap D)}{P(D)} \\\)

= 0.20/0.40

= 0.5000

When compared to the equivalent unconditional probability of part(a),

It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a). If the coffee is decaf, there is a chance that the buyer only bought a little cup.

The complete question is:

The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport kiosk.

Consider randomly selecting such a coffee purchaser.

a. What is the probability that the individual purchased a small cup? A cup of decaf coffee?

b. We learn that the selected individual purchased a small cup. What now is the probability that he/she chose decaf coffee, and how would you interpret this probability?

c. If we learn that the selected individual purchased decaf, what now is the probability that a small size was selected, and how does this compare to the corresponding unconditional probability of (a)?

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Answer:

yup

Step-by-step explanation:

Answer:

Mean score for the class B is 66.66

Step-by-step explanation:

Mean : 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.

Mean = sum of all numbers/ total numbers

Given,

mean score of class A = 34.

mean score of both the classes = 55

mean score of class a = sum of marks/total strength of class

                              34   = sum of marks/10

                             340 = sum of marks of class A

similarly,  Mean score of both classes

= ( sum of marks of class A and class B)/(total students in both classes)

= (340 + sum of marks of class B)/ 28  

55 =  (340 + sum of marks of class B)/ 28  

55 × 28 =  (340 + sum of marks of class B)

1540 - 340 = sum of marks of students of class B    

     1200    =  sum of marks of students of class B  

now to find Mean score of class B

sum of marks of students of class B / total students in class B

1200/18 = 66.66 answer  

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Answer:

E

Step-by-step explanation:

E

Answer:

3/8

Step-by-step explanation:

Total = 8

Probability of blue: 1/8

Probabiity of white: 2/8

Probbility of blue AND white:

1/8 + 2/8

3/8

Answer:

3/8

Step-by-step explanation:

because there are 3 possbile places the spinner can go, and that there are 8 sections, the answer is 3/8

Point B on line AB, which is tangent to circle O, has a length of 12 units. The circle is intersected by the line AO from point A to the circle's centre at point C, and the line segment AC has a length of 8 units.

If you know the circumference C, you can calculate the radius of a circle using the formula r = C / (2 * ). If you know a circle's diameter, d, you can calculate its radius using the formula r = d / 2. The line AB crosses the circle at the precise locations P and Q. Here, the line AB is known as the secant of the circle.

Due to the fact that the endpoints of the line segment P Q are on the circle's circumference, it is known as the circle's chord.The two-headed arrow over AB designates a line that passes through points A and B. The name of a line that crosses two distinct points A and B is written as "line AB" or as.

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For given sample space, rent and groceries will not reduce the expenses.

What exactly is a sample space?

In probability , a sample space is the set of all possible outcomes of a random event.

For example, if we toss a coin, the sample space consists of two possible outcomes: heads or tails. If we roll a six-sided die, the sample space consists of six possible outcomes: 1, 2, 3, 4, 5, or 6.

Now,

Select ALL items that should be budgeted as fixed expenses (NEEDS). Hint: There are 3.

rent

electricity

groceries

Which of the following would not reduce your fixed expenses?

Keep the air conditioning running even when you're not home.

If your groceries cost about $98 per week, how much should you budget for them monthly?

$392

Your car insurance is paid quarterly (every 3 months). If your payment is $225, how much should your estimated monthly expenses be?

$225/3=$75

$75

Expenses that are paid bi-weekly are paid:

every 2 weeks

You have the following expenses. What should your estimated monthly expenses be?

$1,698

a percentage you may add to a restaurant bill for good service

You budgeted for dining out. Your total restaurant bill is $30. What would your additional cost be if sales tax is 7%?

30*7/100=21/10=$2.1

$2.10

You budgeted for dining out. Your total restaurant bill is $45. Since you are eating at the restaurant, you will also need to pay tip. A great tip is 20% of the bill. What would the tip amount be?

45*20/100=$9

$9.00

You budgeted for dining out, but decided to order take-out to save money on tip. Your total restaurant bill is $45 and a common take-out tip is 10%. What would the tip amount be?

45*10/100=$4.5

$4.50

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If the employee's initial salary is $52,800.00, the employee's salary be after 7 years 64937.13

Future value is the value of an asset or cash at a specified date in the future, based on the expected growth rate of the investment. The future value amount is the amount of money that an investment or asset is expected to be worth at a future date, assuming that the investment earns a specified rate of return or interest over time.

we would solve this by

52,800 * (1 + 3%)^7

= 52,800 x 1.03^7

=  52,800 x 1.22987

= 64937.13

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Answer:I believe the answer is b (62.8 cubic units)

Step-by-step explanation:

Answer:

62.8

Step-by-step explanation:

The reminder of 2 to the 100th power divided by 5 is 1

2 to the 100th power is:

\(2^{100}\)  = 1,267,650,600,228,229,401,496,703,205,376

Then dividing 2 to the 100th power by 5:

1,267,650,600,228,229,401,496,703,205,376 / 5 = 253,530,120,045,645,880,299,340,641,075  (without considering the decimal value)

This tells us how many times 5 can divide 2 to the 100th power.

Next, we need to multiply the answer obtained from the division by 5 (since we used 5 to divide):

253,530,120,045,645,880,299,340,641,075 x 5 = 1,267,650,600,228,229,401,496,703,205,375

Lastly, subtracting our last answer from the value of 2 to the 100th power will give us the reminder:

1,267,650,600,228,229,401,496,703,205,376 - 1,267,650,600,228,229,401,496,703,205,375 = 1

Therefore, the reminder when 2 raised to the power of 100 is divided by 5 is  1.

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Answer:

Step-by-step explanation:

well this makes no sese is there any pics

Eh I don't know ???

Picture should be shown...