These are two similar triangles.
What is the measure of y?
20
Х
N
У
8
+
y = [?]
Enter

Answer:

2.5

Step-by-step explanation:

Find the average of the 2 points with the average formula:

sum of elements / number of elements

Plug in the values:

-3 + 8 / 2

5 / 2

= 2.5

So, the midpoint is 2.5

Answer:

m=2

mean is 13

The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

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Answer:

C) Opposite

Step-by-step explanation:

For angle x, the 2 sides that it lies between are either adjacent or hypotenuse. The one the angle doesn't touch is the opposite.

Answer:

60

Step-by-step explanation:

At the time of launch, x will be 0 because the object hasn't been thrown yet. Therefore, its height will be 60.

Answer:

The answer for it is 60.

Step-by-step explanation:  

5*0+20*0+60

And due to the simplification by keeping the value 0 in place of x. So if any term is multiplied with 0 the value of that term will be 0. So by adding 0+0+60 . Therefore , the height will be 60 .

More explanation:

At the time of launch, x will be 0 because the object have not  been thrown yet.So its height will be 60.

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

Answer:

yes

Step-by-step explanation:

Answer:

60.61

Step-by-step explanation:

the missing angle is 51 degrees

we can say sin74/x = sin51 / 49

now we just solve for x.

x = 60.61

Answer:

Step-by-step explanation:

(a) To find the probability that it is raining when you arrive in Oneirabad on a random day, we need to use the law of total probability.

Let A be the event that it is raining, and B be the event that it is the Wet season.

P(A) = P(A|B)P(B) + P(A|B')P(B')

Given that the Wet season lasts for 1/3 of the year, we have P(B) = 1/3. The probability that it is raining during the Wet season is 3/4, so P(A|B) = 3/4.

The Dry season lasts for 2/3 of the year, so P(B') = 2/3. The probability that it is raining during the Dry season is 1/6, so P(A|B') = 1/6.

Now we can calculate the probability that it is raining when you arrive:

P(A) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it is raining when you arrive in Oneirabad on a random day is 13/36.

(b) Given that it is raining when you arrive, we can use Bayes' theorem to calculate the probability that your visit is during the Wet season.

Let C be the event that your visit is during the Wet season.

P(C|A) = (P(A|C)P(C)) / P(A)

We already know that P(A) = 13/36. The probability that it is raining during the Wet season is 3/4, so P(A|C) = 3/4. The Wet season lasts for 1/3 of the year, so P(C) = 1/3.

Now we can calculate the probability that your visit is during the Wet season:

P(C|A) = (3/4)(1/3) / (13/36)

= 1/4 / (13/36)

= 9/52

Therefore, given that it is raining when you arrive, the probability that your visit is during the Wet season is 9/52.

(c) Given that it is raining when you arrive, the probability that it will be raining when you return to Oneirabad in a year's time depends on the season. If you arrived during the Wet season, the probability of rain will be different from if you arrived during the Dry season.

Let D be the event that it is raining when you return.

If you arrived during the Wet season, the probability of rain when you return is the same as the probability of rain during the Wet season, which is 3/4.

If you arrived during the Dry season, the probability of rain when you return is the same as the probability of rain during the Dry season, which is 1/6.

Since the season you arrived in is independent of the weather when you return, we need to consider the probabilities based on the season you arrived.

Let C' be the event that your visit is during the Dry season.

P(D) = P(D|C)P(C) + P(D|C')P(C')

Since P(C) = 1/3 and P(C') = 2/3, we can calculate:

P(D) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it will be raining when you return to Oneirabad in a year's time, given that it is raining when you arrive, is 13/36.

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60 X 0.25= x

Step-by-step explanation:

25.00->2.5->0.25

percentages are converted into decimals in an equation

25℅ of 60 is represented by sixty times 0.25

The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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Answer:

\(m= 20b-45\)

Step-by-step explanation:

Given data

The difference between the amount she sells each birdhouse for and the cost of supplies to build each birdhouse is $20

This means that her profit = $20

the number of birdhouses = b

cost of tools= $45

Hence the amount she earns from selling b houses is given as

\(m= 20b-45\)

After answering the presented question, we can conclude that equation Therefore, the price of each snack is $0.62.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

price of each snack x.

15 × $1.75 = $26.25

cost of snacks for the other fifteen students

$26.25 + 15x = $35.55

15x = $35.55 - $26.25

15x = $9.30

x = $0.62

Therefore, the price of each snack is $0.62.

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\(tn = t(n - 1)- 2.2\)

common difference is

3.6 - 5.8 = -2.2

let T1 = 5.8

T2 = 3.6

assuming we are to find T2

T2 = T(2-1) -2.2

= T1 -22

= 5.8 -2.2

= 3.6

An expression has numbers, variables, and mathematical operations. The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to \(\sqrt[4]{144a^{12}b^3}\), this can be done in the following manner,

\(\sqrt[4]{144a^{12}b^3}\\\\= \sqrt[4]{2^4 \times 3^2 \times a^{12} \times b^3}\\\\= (2^4 \times 3^2 \times a^{12} \times b^3)^{\frac14}\\\\= 2^{(\frac14 \times 4)} \times 3^{(\frac14 \times 2)} \times a^{(\frac14 \times 12)} \times b^{(\frac14 \times 3)}\\\\= 2 \times 3^{(\frac12)} \times a^{3} \times b^{(\frac34)}\\\\\)

\(= 2\times a^{3} \times 3^{(\frac12 \times \frac22)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 3^{(\frac24)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 9^{(\frac14)} \times b^{3(\frac14)}\\\\= 2\times a^{3} \times (9b^{3(\frac14)})\\\\=2a^3 \sqrt[4]{9b^3}\)

Thus, The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.

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Answer:

its a

Step-by-step explanation:

on edge 2022

Answer:

10 + 2y

Step-by-step explanation:

2(5+y)

Distribute

10 + 2y

Answer:

2y + 10

Step-by-step explanation:

2(5(2) + y(2))

2 x 5 = 10

y x 2 = 2y

2y + 10

Answer:

7

Step-by-step explanation:

Answer:

f(-2)=-9

Step-by-step explanation:

3*-2=-6. -6-3=-9.

When moving from a 95% confidence interval to a 90% confidence interval, the width of the interval will decrease. (option b).

To understand this, let's consider a simple example. Suppose we want to estimate the mean height of all high school students in a particular region. We take a sample of 100 students and calculate the mean height to be 65 inches, with a 95% confidence interval of (63, 67) inches. This means that if we were to repeat this process many times, we would expect the true population mean height to be within this interval 95% of the time.

Now, if we were to calculate a 90% confidence interval instead, we would obtain a narrower interval because we are now willing to accept a greater risk of being wrong.

It is important to note that the width of the confidence interval depends on the sample size and the variability of the data.

As the sample size increases or the variability decreases, the confidence interval will become narrower. Conversely, as the sample size decreases or the variability increases, the confidence interval will become wider.

Hence the correct option is (b)

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The expression equivalent to cos(165) is cos(120)cos(45) + sin(120)sin(45).

To find an equivalent expression for cos(165), we can use the angle sum and difference identities of trigonometric functions. One of the identities states that \(\( \cos(A - B) = \cos A \cos B + \sin A \sin B \).\)

Now, let's convert \(\( 165^\circ \) into \( 120^\circ \)\) and \(\( 45^\circ \)\) using the identity ( A = B - C ), where \(\( A = 165^\circ \), \( B = 120^\circ \), and \( C = 45^\circ \).\)

\(\( 165^\circ = 120^\circ + 45^\circ \)\)

Using the angle sum identity, we can write:

\(\( \cos(165) = \cos(120 + 45) = \cos(120)\cos(45) + \sin(120)\sin(45) \)\)

Thus, the expression equivalent to cos(165) is cos(120)cos(45) + sin(120)sin(45).

One of the six mathematical functions used to express the side ratios of right triangles, the trigonometric function includes the sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). The graphic shows these six trigonometric functions with respect to a right triangle.

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The correct question would be as

Which expression below is equivalent to cos(165)?

(Angle in degrees.)

cos120cos45+sin45sin120

sin120cos45⋅sin45cos120

sin120cos45+sin45cos120

cos120cos45⋅sin45sin120

None of the above

The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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Answer:

G(x)=2/15x-6

Step-by-step explanation:

The linear function graphed on the grid will be g(x) = (15/2) x + 45. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

From the graph, the x-intercept is - 6, and the y-intercept is 45. Then the equation is given as,

x/(-6) + y/45 = 1

- 15x + 2y = 90

y = (15/2) x + 45

g(x) = (15/2) x + 45

The linear function graphed on the grid will be g(x) = (15/2) x + 45. Then the correct option is D.

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To determine the number of odd 4-digit integers with distinct digits, we can consider the following:

1. The thousands digit: It cannot be zero since the number should be a 4-digit integer.

2. The units digit: It must be an odd number (1, 3, 5, 7, or 9) to make the entire number odd.

3. The hundreds and tens digits: They can be any digit from 0 to 9, excluding the digits used for the thousands and units digits.

Let's break down the cases:

Case 1: Thousands digit

There are 9 options for the thousands digit (1 to 9) since it cannot be zero.

Case 2: Units digit

There are 5 options for the units digit (1, 3, 5, 7, or 9) since it must be an odd number.

Case 3: Hundreds digit

There are 8 options for the hundreds digit (0 to 9 excluding the digits used for thousands and units).

Case 4: Tens digit

There are 7 options for the tens digit (0 to 9 excluding the digits used for thousands, units, and hundreds).

Now, we can calculate the total number of possibilities by multiplying the number of options for each digit:

Total number of possibilities = 9 × 5 × 8 × 7 = 2520

Therefore, there are 2520 odd 4-digit integers with distinct digits in the range of 1,000 to 9,999.

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The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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The final volume of CO2 gas is approximately 2.2 liters.

Dry ice, or solid carbon dioxide (CO2), sublimates from a solid to a gas at standard temperature and pressure. The density of solid CO2 is 1.56 g/cm^3, and the density of gaseous CO2 at STP is 1.96 g/L.

First, we need to convert the mass of dry ice to moles of CO2:

4.4 g / 44.01 g/mol = 0.1 mol CO2

Since the volume of the bag is 5 liters, we can use the ideal gas law to calculate the final volume of CO2 gas:

PV = nRT

Where

At STP, the pressure is 1 atm and the temperature is 273 K. We can solve for V:

V = nRT/P = (0.1 mol)(0.08206 L·atm/mol·K)(273 K)/(1 atm) = 2.24 L

So the final volume of CO2 gas is approximately 2.2 liters, to the nearest tenth of a liter.

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Answer:

Do you need help or something??

Step-by-step explanation:

Answer:

E      

Step-by-step explanation:

19)        Amount of oil in   =    amount of oil in final product

       .025(x) + .09(40-x)    =    .055(40)      (x = 2.5% amt   40 - x = 9% amt)

  x = 21.54 L  of   2.5 %     then 9% = 18.46 L