What is the missing side 7.5 in and x

Answer:

[tex]\frac{2x}{3y^5}[/tex]

Step-by-step explanation:

See photo for steps.

Answer:

1. Angle C is 57.2

2. Which angle corresponds to angle C? The answer is angle S

3. The angles are similar

Step-by-step explanation:

Edge.

Hence angle Cis 57degrees

What is angle sum property of triangle?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

How to solve?

In ΔEDC=∠E+∠D+∠C=180degree

=35.5+87.3+∠E=180

∠E=180-87.3-35.5=57

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Answer:

B. the trials must be dependent

Step-by-step explanation:

The image for the question is attached.

The missing options are;

A. The probability of a success remains the same in all trials.

B. The trials must be dependent.

C. Each trial must have all outcomes classified into two categories.

D. The procedure has a fixed number of trials.

For a binomial distribution probability, the event must be repeated for a number of time (n) and the probability of success (q) must be the same during each trial.

Binomial distribution probability has two possible outcome: success (p) or failure (q). The event are also independent of each other.

The formula for a binomial distribution probability is given as:

P(X=x) = nCx (p ^ x) (q ^ (n-x))

From the above, we can see that the answer is:

B. the trials must be dependent

Final answer:

The requirement that is not necessary for a binomial distribution is for the probabilities of success (P) and failure (Q) to be equal. This misconception arises because the binomial probability applies even if P ≠ Q. The use of technology has made calculating binomial probabilities for large values of n convenient without the need for normal approximation.

Explanation:

What is not a requirement of the binomial probability distribution? This question pertains to specific characteristics that define a binomial distribution. In the context of probability and statistics, a binomial distribution has several key requirements, including the presence of a fixed number of trials, each trial being independent, a dichotomy of outcomes (success/failure), and a constant probability of success across trials.

However, something that is not a requirement for a binomial distribution is that the probabilities of success (P) and failure (Q) must be equal. This is a common misconception because of the symmetry seen in fair coin tosses, where the probability of heads (P) and tails (Q) is the same. However, the binomial probability applies even if P ≠ Q. An example of this could be having a biased coin where the probability of getting heads (PH) differs from getting tails (PT).

It is also important to note that using the Poisson distribution may be more appropriate in some cases, such as modeling the number of events occurring within a fixed interval if the probability of success is very low, and the number of trials is very high. Moreover, when dealing with trials that are not independent, such as selecting a chairperson and a recorder from a committee without replacement, the conditions for a binomial distribution are not met, and we cannot apply binomial probability.

Answer:

[tex] \huge \theta =7°[/tex]

Step-by-step explanation:

[tex]tan( \theta + 16 \degree) = \frac{1}{tan( \theta + 60 \degree) } \\ tan( \theta + 16 \degree) =cot( \theta + 60 \degree) \\ tan( \theta + 16 \degree) = tan \{90 \degree - (\theta + 60\degree) \} \\ \theta + 16 \degree = 90 \degree - \theta - 60\degree \\ \theta +\theta = 30 \degree - 16\degree \\2 \theta = 14 \degree \\ \theta = \frac{14 \degree}{2} \\ \huge \red{ \boxed{\theta =7 \degree}}[/tex]

Final answer:

To solve the given trigonometric equation, convert tan(θ + 60°) to cot(θ + 60°) and then to cos(θ + 60°)/sin(θ + 60°). Next, cross-multiply and simplify using trigonometric identities to find θ. The correct θ value satisfying the equation is 32°.

Explanation:

To solve the equation tan(θ+16°) = 1/tan(θ+60°) using trigonometric identities, we first convert the right side of the equation using the identity that tan(α) = 1/cot(α).

This gives us tan(θ+16°) = cot(θ+60°). Now we use the identity for cotangent, which is cot(α) = cos(α)/sin(α), and write the equation as tan(θ+16°) = cos(θ+60°)/sin(θ+60°).

In terms of sine and cosine, tangent can be written as tan(α) = sin(α)/cos(α), so our equation becomes sin(θ+16°)/cos(θ+16°) = cos(θ+60°)/sin(θ+60°).

Next, cross-multiply to get sin(θ+16°) × sin(θ+60°) = cos(θ+16°) × cos(θ+60°). Using trigonometric identities for sine and cosine of sum of angles, we get an equation that can be simplified.

After simplification, the only θ values that satisfy the equation between 0° and 360° are found to be 31° 58.6' and 78° 31.5'. However, the given solution to the problem is θ = 32°, which closely matches one of the correct angles found.

Answer

do u have a demonstration

picture

Step-by-step explanation:

Answer:

15 x 3^2

Step-by-step explanation:

The area of a square or rectangle is equal to the length x width.

If you want to scale the figure you multiply 3 to both the width and the length.

Because you are multiply 3 twice, you are essentially doing 3x3 = 9 or 3^2

15 ^ 3^2 is the answers.

You can also check on a calculator and it will also come as true

The expression finds the area of the actual garden is 15 ^ 3^2.

We have given that,

The area of the scale model of a garden is 15 square feet.

The scale model is enlarged by a scale factor of 3 to create the actual garden.

We have to determine which expression finds the area of the actual garden.

15 x 3^2

The area of a square or rectangle is equal to the length x width.

If you want to scale the figure you multiply 3 by both the width and the length.

Because you are multiplying 3 twice,

3x3 = 9 or 3^2

The expression finds the area of the actual garden is 15 ^ 3^2.

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Answer: 5

Step-by-step explanation:

If;

5 gallons = $12.50 / 5 = $2.50/gallon

11 gallons = $26.40 / 11 = $2.40/gallon

In conclusion, 5 gallons cost more per gallon than 11.

Answer:

It's already shown on the graph

Step-by-step explanation:

2(y+2)+ y = 4

x=y+2

2y+4+y=4 =) y=0

x=0+2 =) x= 2

{2,0}

Answer:

(2,0)

Step-by-step explanation:

Answer:255 ft of fabric

Step-by-step explanation:

Just trust me

-hope this helped!

 -79,000  +  45,34444444444=5.65

Answer:

490 minutes

Step-by-step explanation:

There are 7 days in a week, and he practices 35 minutes every day

We can multiply 7 and 35 to find how long he practices for in 1 week

7*35=245

He practices for 245 minutes in 1 week.

To find 2 weeks, multiply his time for 1 week by 2

245*2=490

So, he practices for 490 minutes in 2 weeks

Answer:

490

Step-by-step explanation:

Answer:

The friend is wrong as the actual prices have increases over the past ten years

Step-by-step explanation:

Here we have

The cost of travelling in Mexico 10 years ago = X pesos

The cost of 10 pesos 10 years ago = $1.00

The cost of 15 pesos now = $1.00

Inflation in Mexico in 10 years = 100% in US = 25%

Therefore, before the inflation if

Price of one variety of American hot dog = $1.00 and

Price of one taco brand = 10 Pesos

After the inflation we have

25% Increase, price of the same hot dog = $1.25 while

100% increase, price for the taco = 20 pesos

However, 15 pesos is now $1.00, therefore;

20 pesos = $1.00 × 20/15 = $1.33

That is current selling price for taco is $1.33 which is more higher than previous $1.00

Where the cost of travelling in Mexico is directly related to the above example, then, travelling in Mexico is much expensive than it was ten years ago.

Despite the increase in the exchange rate, it has become more expensive to travel in Mexico due to higher inflation.

Your friend is wrong. Despite the increase in the exchange rate, it has actually become more expensive to travel in Mexico over the past ten years due to higher inflation in Mexico compared to the United States.

Let's use the example of an American hot dog and a Mexican taco. Ten years ago, the hot dog cost $3 in the US and 30 pesos in Mexico.

Assuming the exchange rate was 10 pesos per dollar, the cost of the taco in dollars would be 30/10 = $3.

This year, with the exchange rate of 15 pesos per dollar, the cost of the taco in dollars would be 30/15 = $2.

Therefore, the taco is cheaper this year in dollars, but the hot dog in the US has only increased in price by 25% due to inflation.

This example clearly shows that despite the increase in the exchange rate, the higher inflation in Mexico has made it more expensive to travel there.

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Final answer:

To calculate the quotient of 8.832 x 10^6 and 9.6 x 10^2 in scientific notation, divide the coefficients and subtract the exponents to get 0.92 x 10^4.

Explanation:

The student is asking to divide two numbers expressed in scientific notation and then to express the quotient in scientific notation.

To find the quotient of 8.832 x 10⁶ and 9.6 x 10², we divide the coefficients (8.832/9.6) and subtract the exponents (6-2).

First, divide the coefficients: 8.832/9.6 = 0.92.

Next, subtract the exponents: 6 - 2 = 4.

Now combine the result in scientific notation: 0.92 x 10⁴.

We can leave the result as 0.92 x 10⁴ because in scientific notation, it's acceptable for the coefficient to be less than 1 as long as it's at least 0.1.

So, the quotient expressed in proper scientific notation is 0.92 x 10⁴.

The quotient of [tex]\( 8.832 \times 10^6 \)[/tex] and [tex]\( 9.6 \times 10^2 \)[/tex] expressed in scientific notation is [tex]\( 9.2 \times 10^3 \).[/tex]

To find the quotient of two numbers in scientific notation, divide the coefficients and subtract the exponents. Here's the step-by-step process:

1. Divide the coefficients (the numbers without the exponents):

[tex]\[ \frac{8.832}{9.6} = 0.92 \][/tex]

2. Subtract the exponents (the powers of 10):

[tex]\[ 10^6 \div 10^2 = 10^{6-2} = 10^4 \][/tex]

3. Combine the result of the division of the coefficients with the result of the subtraction of the exponents:

[tex]\[ 0.92 \times 10^4 \][/tex]

4. To express the result in proper scientific notation, the coefficient must be greater than or equal to 1 and less than 10.

Therefore, we need to adjust the coefficient and the exponent accordingly.

Since 0.92 is less than 1, we multiply the coefficient by 10 and decrease the exponent by 1:

[tex]\[ 9.2 \times 10^{4-1} = 9.2 \times 10^3 \][/tex]

So, The quotient of [tex]\( 8.832 \times 10^6 \)[/tex] and [tex]\( 9.6 \times 10^2 \)[/tex] expressed in scientific notation is [tex]\( 9.2 \times 10^3 \).[/tex]

Answer:

  D. (-10, -3), (-3, -10)

Step-by-step explanation:

For a question like this, it is easiest to check the offered answers in the given equations.

The first equation requires the sum of the x- and y-values to be -13. Adding two numbers is pretty easy, so you can rapidly determine that choice D is the only reasonable choice.

_____

Comment on the process

Answering multiple-choice questions is as much about test-taking skill as it is about math skill. First, you eliminate choices that don't answer the question.

Then you see if there is a way to identify the "correct" answer from the remaining "reasonable" answers. Often, that requires you only solve part of the problem, or you check for consistency between parts of the answer. (Here, if (a, b) is an answer, then (b, a) will be the other answer. Again, only choice D has that characteristic.)

You can see if the answer choices satisfy the details of the problem requirements.

Finally, as a last resort, you actually work the problem to determine your own answer to the question. (Here, you can substitute for y: x^2 +(-13-x)^2 = 109, then solve the quadratic, 2x^2 +26x +60 = 0 to find x=-3 or -10.) When you're done with this, you also need to check your answer against the above criteria.