I need some help with this precalculus homework question posted below.

Applying the sine rule the value of side w is calculated to be 6.2

The size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal

the formula is

Sin A / a = Sin B / b = Sin C / c

applying the formula for the problem

Sine W / w = Sine X / x

plugging in the values

Sine 38 / w = Sine 84 / 10

cross multiplying

w = 10 x Sin 38 / Sine 84

x = 6.185

x =  6.2 to the nearest tenth

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Answer:

13/15

Step-by-step explanation:

i took the test :)

The reason of discontinuity of the given function is described below.

Since we know that,

A continuous function, as the name implies, is one whose graph is continuous with no breaks or jumps. In other words, if we can draw the curve (graph) of a function without ever raising a pencil, we may claim that the function is continuous. The study of a function's continuity is critical in calculus because a function cannot be differentiable unless it is continuous.

A function is considered continuous if its graph is an uninterrupted curve with no holes, gaps, or breaks.

Now by mathematical definition of continuity

Left hand limit of a function at any point = right hand limit of function at that point = value of function at that point

Now from the graph we can see that,

At point point 3

The left hand limit and right hand limit are not equal and also the curve is discontinuous.

Hence, the given function is discontinuous function.

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Hello !

James is performing statistical analysis to determine whether the effects of the treatment in his experiment might actually have reflected a chance occurrence; Kendra is performing an analysis to combine the results of a number of experiments to yield an overall conclusion. James is performing a significance test, Kendra, a meta-analysis.

The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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Answer:

I answer so the person who will answer to get Crown!

Answer:

what do you want me to help you

Answer:

9

Step-by-step explanation:

The explanation is in the picture

For binomial probability mass function formula and compound interest formula, These both involve the use of exponents, they are not otherwise related to each other in any significant way.

What is Compound interest?

Compound interest is the interest that is earned not only on the initial principal amount of an investment, but also on any interest that has accumulated over time. In other words, it is interest that is "compounded" or added to the principal amount at specific intervals, such as daily, monthly, quarterly, or annually.

Now,

The binomial probability mass function formula and the compound interest formula are not directly related to each other, as they are used to model different types of phenomena.

The binomial probability mass function is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent trials, where each trial has two possible outcomes (success or failure) and the probability is same. The binomial probability mass function is

P(x) = pˣ (1-p)ⁿ⁻ˣ

where X is the number of successes, k is the specific number of successes we are interested in, n is the total number of trials, p is the probability of success on each trial, and represents the binomial coefficient.

The compound interest formula, on the other hand, is used to calculate the value of an investment over time, assuming a fixed interest rate and compounding periods. The future value is

FV = PV x (1 + r/n)ⁿˣ

where FV is the future value of the investment, PV is the present value of the investment, r is the interest rate (expressed as a decimal), n = number of times interest is compounded per year, and x = number of years.

While both formulas involve the use of exponents, they are not otherwise related to each other in any significant way.

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The binomial probability mass function formula and the compound interest formula are not directly related to each other.

The binomial probability mass function formula is used to calculate the probability of observing a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials. The formula is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where X is the random variable representing the number of successes, k is the number of successes we want to observe, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

On the other hand, the compound interest formula is used to calculate the value of an investment that earns a fixed interest rate over a certain period of time, assuming that the interest is compounded at regular intervals. The formula is:

A = P * (1 + r/n)^(nt)

where A is the final amount of the investment, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, t is the number of years, and (1 + r/n)^(nt) represents the growth factor of the investment.

While both formulas involve exponents and use the terms (1 - p) and (1 + r/n), they are fundamentally different in their purpose and application.

Answer:

7.5mph

Step-by-step explanation:

Let the average speed of the boat to be x mph.

Total Distance = Avg. Speed x Total Time

60 = ((x+6) + (x-6))(4)

60 = (x+6+x-6)(4)

(2x)(4)=60

2x=60/4

2x = 15

x = 15 /2

x = 7.5mph

Answer:

  15 +√261 ≈ 31.155 mph

Step-by-step explanation:

The time for the trip can be found by dividing the distance by the speed.

__

The relation between time, speed, and distance is ...

  time = distance/speed

The speed for the downstream leg was the sum of the boat speed (b) and 6 mph. The speed for the upstream leg was the difference. So the total trip time was ...

  4 = 60/(b +6) +60/(b -6) . . . total  time is the sum of the times for the legs

__

Multiplying by the product of the denominators, we have ...

  4(b +6)(b -6) = 60(b -6) +60(b +6)

  b² -36 = 30b . . . . divide by 4 and simplify

  b² -30b = 36 . . . . put in a form useful for completing the square

  (b -15)² = 36 +15² . . . . . complete the square

  b -15 = √261 . . . . . . . . take the square root (negative root is extraneous)

  b = 15 +√261 ≈ 31.155 . . . . add 15

The average speed of the boat was about 31.155 mph.

9514 1404 393

Answer:

  C)  83°

Step-by-step explanation:

The angle marked 97° and b form a linear pair, so are supplementary.

  b = 180° -97° = 83°

Answer:

C .) 83 °

Step-by-step explanation:

Angle b and 99° are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.

➛ b + 97 ° = 180 °.

subtract each side by 97 °

➛ b + 97° - 97° = 180° - 97°

➛ b = 83°

Since the relationship is directly proportional,

Abigail prepared 15 kilograms of dough after working 3 hours.

Let us calculate the number of dough he prepared in 1 hour,

Therefore, she prepares 5kg of dough in one hour.

Hence, the amount of dough she will prepare in 4hours will be

Therefore, Abigail will prepare 20kg of dough in 4 hours.

4 and 5!

4 squared is 16, which is less than 24, and 5 squared is 25, which is more than 24!

\(\sqrt{24}\) lies between two consecutive numbers  4  and 5

Given :

Given square root of 24

Lets write all the perfect square numbers

\(\sqrt{4}=2\\\sqrt{9}=3\\\sqrt{16} =4\\\sqrt{25} =5\\\sqrt{36} =6\\\sqrt{49}=7\)

From the above perfect square root numbers, we can see that square root (24) lies between \(\sqrt{16} \; and\; \sqrt{25}\)

So we can say that \(\sqrt{24}\) lies between 4  and 5

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Answer:

L

Step-by-step explanation:

He can buy less οr equal tο 14 shirts with the mοney left and The inequality that represents this situatiοn is s (stands fοr shirts) ≤ 14.

In Mathematics, it is the relatiοnship between twο values that are nοt equal. Inequality means twο values that are nοt equal. When the situatiοn is  tο cοmpare the values, '≤' οr '≥' sign are used.

Hey team can spend nο mοre than $300 οn shirts the team has already spent $80.

300- 80 = 220

220/ 15 = 14.6

Let us say s be the number οf shirts.

Then the inequality will be s≤14

As the numbers οf shirts cant be a fractiοnal term sο we cοnvert the fractiοnal term tο the integer οne.

Hence, the inequality that represents the situatiοn is s≤14.

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Hello!

√7 - y = 6 <=>

<=> -y = 6 - √7 <=>

<=> y = -6 + √7 => √7 - (-6 + √7) = 6

Good luck! :)

Answer:

-29

Step-by-step explanation:

When you substitute 1 for  y  in the original equation, you get:

7−(1)−−−−−−√

=?

6

6–√

≠

6 So 1 is not a solution.

Let t rep tail and h rep head

First tose= h or t

Second tose= h or t

Third tose= h or t

Counting the head and tail together

Then t= 3 and h=3

According to The formulae

3/6= 1/2

Answer:

(- 12, 10 )

Step-by-step explanation:

2x + 4y = 16 → (1)

- 2x - 3y = - 6 → (2)

add (1) and (2) term by term to eliminate x

0 + y = 10

y = 10

substitute y = 10 into (1) and solve for x

2x + 4(10) = 16

2x + 40 = 16 ( subtract 40 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

solution is (- 12, 10 )

Answer:

(- 12, 10 )

Step-by-step explanation:

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Answer:

Number of students successful= 75

Number of students not able to complete the exam in the allotted time= 5

Step-by-step explanation:

In this question the main part is missing .The given statement is the sub part of the problem .

Suppose the main part is

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes.

If the main part was given like this only then we could do the following calculations.

So from above the

Population mean = μ= 80

Population Standard deviation =σ= 10 mins

Sample mean = x`= 95

Sample size= n= 80

Now first we calculate the z= score

z= x`-μ/σ

z= 95-80/10= 1.5

From the z- table we find the P (z< 1.5)= 0.9332

Now we have to find the number of students who need to complete the exam in the allotted time

Number of students successful= np= 80 * 0.9332= 74.656= 75

Number of students not able to complete the exam in the allotted time= 80-75= 5

These answers are based on the main part supposed to be as added just to explain how it will be calculated.

There may be any discrepancy with the original question.

The perimeter of the rectangle in scale is 48 inches

Perimeter of Rectangle could be considered as one of the important formulae of the rectangle. It is the total distance covered by the rectangle around its outside.

The formula of perimeter of a rectangle is given as

P = 2(L + W)

The length of the floor is 26 feet and the width is 22 feet.

But on the scale, the length is equal to 13 inches, we can find the width of the rectangle by calculating the scale

Using the dimensions;

26 feet = 13 inches

22 feet = x

x = (22 * 13) / 26

x = 11 inches

The perimeter of the scale drawing will be

P = 2(L + W)

P = 2 (13 + 11)

P = 2 * 24

P = 48 inches

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In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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Answer:

D. Point S

Step-by-step explanation

The opposite of -5.5 is 5.5, therefore since Point S is at 5.5 on the number line, the answer is D.

Answer:

6.44 m2                                                                      

Step-by-step explanation:

Option 4,option 6, and option 2 are the respective contrapositive to the statements given.

A contrapositive statement is obtained by interchanging both the hypothesis and conclusion of a given statement after contradicting them.

For "if p then q" the contrapositive is "if not-q, then not-p "

From the information given, we have;

Statement 1: If two figures are congruent, then their corresponding sides are equal.

Contrapositive: If the corresponding sides of two figures aren't equal, then the two figures aren't congruent. (Option 4)

Statement 2: If two numbers are even, then their product is even.

Contrapositive: If the product of two numbers isn't even, then the two numbers aren't even. (Option 6)

Statement 3: If a figure is a pentagon, then the sum of its interior angles is 540°.

Contrapositive: If the sum of the interior angles of a figure isn't 540°, then the figure isn't a pentagon. (Option 2)    

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