1. write the equation for each line that passes through (1, 2) and has a) slope 2/3 b) undefined slope c) m = 0 d) point (2, 3) also on the line​

The value of x and y is 7 respectively

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

sin(tetha) = opp/hyp

cos(tetha) = adj/ hyp

tan( tetha) = opp/ adj

The acute angle (tetha) here is 45°

sin45 = x/7√2

sin45 = 1/√2

1/√2 = x/ 7√2

7√2 = x √2

x = 7√2/√2

x = 7

Since the triangle is an isosceles triangle x = y = 7

therefore the value of x and y is 7

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The number of ways in which three swimmers can advance is 56.

The combination is the selection of items without taking the order of arrangement into consideration.

The formula used in calculating the combination is:

\(\mathbf{C(n,r) = \dfrac{n!}{r!(n-r)!}}\)

\(\mathbf{C(n,r) = \dfrac{8!}{3!(8-3)!}}\)

\(\mathbf{C(n,r) = \dfrac{8\times 7\times 6 \times 5!}{3!(5)!}}\)

\(\mathbf{C(n,r) = 8\times 7}\)

C(n, r) = 56

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The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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Answer:

B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

I did the test.

In summary, when repeated samples of size n are taken from a normal population with an unknown variance, the statistic t follows the t-distribution with n-1 degrees of freedom.

If repeated samples of size n are taken from a normal population with an unknown variance, then the statistic t follows the t distribution with n-1 degrees of freedom. When a sample of size n is taken from a normal population with a known variance and mean, the sample mean follows a normal distribution with a mean of μ and a variance of σ2/n. This distribution is known as the sampling distribution of the mean.

However, when the variance is unknown, the sampling distribution of the mean can no longer be calculated using the normal distribution. In this scenario, the sample mean is calculated using a t-distribution instead of a standard normal distribution.The t-distribution is similar to the standard normal distribution. However, it is more spread out and flatter than the standard normal distribution. As a result, the t-distribution has thicker tails than the standard normal distribution, which makes it more suitable for analyzing small samples of data.

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Answer:

x = 7

Step-by-step explanation:

- 8 = 27 - 5x ( subtract 27 from both sides )

- 35 = - 5x ( divide both sides by - 5 )

7 = x

=============================================

Explanation:

Focus on triangle OCT. We can see that the triangle is isosceles because OT = OC are two radii of the same circle. That consequently means angles T and C are the congruent base angles (rotate the triangle to see what I mean). The base angles are opposite the congruent sides.

Since base angle C is 35 degrees, that makes base angle T this measure as well.

-----------

We just found angle CTO is 35 degrees. Angle PTO is supplementary to this, so it is 180-35 = 145 degrees.

Now focus solely on quadrilateral PTOQ. The goal is to find angle O, aka angle QOT. We found angle T in the paragraph above and it's 145 degrees. Angle Q is 90 degrees assuming segment PR is tangent to the circle at point Q.

------------

Recall that for any quadrilateral, the interior angles always add to 360

let x be the measure of angle O, aka angle QOT

P+T+O+Q = 360

60+145+x+90 = 360

x+295 = 360

x = 360-295

x = 65

Therefore, angle QOT is 65 degrees

Answer:

400,000

Step-by-step explanation:

the line from smallest up goes, 1's, 10's, 100's, 1000's, 10,000's, 100,00's, and 1,000,000's

Answer:  12.12

Step-by-step explanation:

exact form:

w= 74/45

decimal form:

w= 1.64

mixed number:

w= 1 29/45

brainliest would be appreciated :)

Answer:

w=74/45

Step-by-step explanation:

(w-4/9)(-2/3)=-4/5

-2/3w+8/27=-4/5

-2/3w=-4/5-8/27

-2/3w=-108/135-40/135

-2/3w=-148/135

w=(-148/135)/(-2/3)

w=-148/135*-3/2,

w=74/45

Answer:

Step-by-step explanation:

The triangle is isosceles. That means that the unmarked side is also x

The Pythagorean Theorem applies

x^2 + x^2 = 4^2

2x^2 = 16                 Divide by 2

2x^2/2 = 16/2

x^2 = 8

x^2 = 2 * 2 * 2

sqrt(x^2) = sqrt(2 * 2 * 2)

The rule is take one of a pair of factors out of the root sign and through the other member of the pair away. The third 2 stays under the root sign.

x = 2sqrt(2)

The correct answer would be an option (D) Associative Property of Addition.

The associative property of addition is a rule which states that when adding three or more numbers, we can arrange them in any configuration, and the resultant sum is unaffected by how they are arranged.

(a + b) + c = a + (b + c)

Given Line 1 and Line 2 are shown below.

Line 1 as :

⇒ (3 + 9) + 5

Line 2 as :

⇒ 3 + (9 + 5)

According to Associative Property of Addition,

Line 1 as :

(3 + 9) +5 equals 12 + 5 which equals 17

Line 2 as :

3 + (9 + 5) equals 3 + 14 which equals 17

The correct answer would be an option (D) Associative Property of Addition.

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The two inequalities that define the shaded region in the diagram are:

y ≥ 4 and y < x

For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥"  because the shaded region is to the left and the boundary line is solid.

The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:

y ≥ 0(x) + 4

y ≥ 4

For the dashed line:

m = change in y / change in x = 1/1 = 1

b = 0

the inequality sign to use is: "<"

Substitute m = 1 and b = 0 into y < mx + b:

y < 1(x) + 0

y < x

Thus, the two inequalities are:

y ≥ 4 and y < x

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The 98% confidence interval for the true mean age of players in this league

(27.152, 30.548)

To find the 98% confidence interval for the true mean age of players in this baseball league using Excel, follow these steps:

1. Enter the age data in a column, for example, from A1 to A41.
2. Calculate the sample mean using the formula "=AVERAGE(A1:A41)" in any empty cell.
3. Calculate the standard error using the formula "=(2.1/SQRT(COUNT(A1:A41))" in another empty cell.
4. Find the critical value (z-score) for a 98% confidence interval using the formula "=NORM.S.INV(1-(1-0.98)/2)" in another empty cell.
5. Calculate the margin of error using the formula "z_score * standard_error" in another empty cell.
6. Find the lower confidence limit using the formula "=sample_mean - margin_of_error" in another empty cell.
7. Find the upper confidence interval limit using the formula "= sample mean + margin of error" in another empty cell.

After following these steps, you should have the lower and upper limits of the 98% confidence interval. Round the results to three decimal places and use ascending order.

Your answer:(27.152, 30.548)

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The probability that the next earthquake will occur within 2 months is approximately 0.067, or 6.7%.

To determine the probability that the next earthquake will occur within 2 months, we need to convert the time from months to the appropriate unit based on the provided Poisson rate.

The earthquake rate is 5 times per year, we can determine the rate parameter (λ) of the exponential distribution as follows:

λ = 5 / 12 (since there are 12 months in a year)

Now, let's calculate the probability (P) that the next earthquake will occur within 2 months:

P = 1 - e^(-λt)

where t is the time in years.

Since we want to obtain the probability within 2 months, we convert 2 months to years:

2 months = 2 / 12 = 1 / 6 years

Plugging in the values, we have:

P = 1 - e^(-λ * (1/6))

Calculating further:

P ≈ 1 - e^(-5/12 * (1/6))

 ≈ 1 - e^(-5/72)

 ≈ 1 - 0.9330329915368079

 ≈ 0.06696700846

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Answer:

6

Step-by-step explanation:

Answer:

It is clear that the value of the constant of proportionality k remains the same.

Thus, the value of the constant of proportionality k = 3.5

Step-by-step explanation:

Given the table

x             6               7                    8                9

y            21            24.5                28              31.5

We know that when y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is termed as the constant of proportionality.

Now, taking the points from the table to determine the constant of proportionality k:

FOR (6, 21)

substituting x = 6, y = 21 in the equation

k = y/x

k = 21 / 6

k = 7 / 2

k = 3.5

FOR (7, 24.5)

substituting x = 7, y = 24.5 in the equation

k = y/x

k = 24.5/7

k = 3.5

FOR (8, 28)

substituting x = 8, y = 28 in the equation

k = y/x

k = 28/8

k = 7/2

k = 3.5

FOR (9, 31.5)

substituting x = 9, y = 31.5 in the equation

k = y/x

k = 31.5 / 9

k =  3.5

It is clear that the value of the constant of proportionality k remains the same.

Thus, the value of the constant of proportionality k = 3.5

The test statistic value is -2.03.

What is the mean and standard deviation?

In statistics, the measurement of variability known as the standard deviation (SD) is frequently utilised. It displays the degree of variance from the mean (average). While a high SD shows that the data are dispersed throughout a wide range of values, a low SD suggests that the data points tend to be close to the mean.

We can use a one-sample t-test to test whether the mean endurance time of the tires is significantly different from the claimed value of 40000 km. The test statistic is given by:

\(t = (x - \mu) / (s / \sqrt{(n)})\)

where x is the sample mean (39750 km), μ is the claimed mean (40000 km), s is the sample standard deviation (387 km), and n is the sample size (25).

Substituting the values, we get:

\(t = (39750 - 40000) / (387 / \sqrt{25})\)

t = -250 / (387/5)

t = -2.03

Therefore, the test statistic value is -2.03.

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Answer:

d

Step-by-step explanation:answer is d on edg

Using a calculator, the difference between the arithmetic average ROR and the weighted average ROR is Option B) 0.1%

arithmetic average ROR is given as

(2.1% + 4.4% - 7.8% + 10.5%) / 4 =  0.02300

The Weighted Average ROR

[(0.021 x 3200 ) + (0.044 x  1750) + (-0.078 x 1235) + (0.105 x   2300)] / (3200 + 1750 + 1235 + 2300) =  0.0341037124337065

Thus:

The Weighted Average ROR - arithmetic average ROR

= 0.0341037124337065 - 0.02300

= 0.01110371243 x 100

= 1.11037124337%

≈ 1.1%

So we are correct to state that Option B is the right answer.

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1. To find the expected value, we integrate the product of x and the density function over the given interval [0, ln 2]:

E(X) = ∫₀^ln2 x e^x dx

Using integration by parts with u = x and dv = e^x dx, we get:

E(X) = [x e^x]₀^ln2 - ∫₀^ln2 e^x dx

E(X) = ln 2 - 1

2. To find the variance, we use the formula:

Var(X) = ∫₀^ln2 (x - E(X))^2 e^x dx

Expanding the square and simplifying, we get:

Var(X) = ∫₀^ln2 x^2 e^x dx - 2E(X) ∫₀^ln2 x e^x dx + E(X)^2 ∫₀^ln2 e^x dx

Var(X) = ∫₀^ln2 x^2 e^x dx - (ln 2 - 1)^2

Using integration by parts twice with u = x^2 and dv = e^x dx, we get:

Var(X) = [x^2 e^x]₀^ln2 - 2∫₀^ln2 x e^x dx + ∫₀^ln2 e^x dx - (ln 2 - 1)^2

Var(X) = ln 2 - (3/2) + (ln 2 - 1)^2

3. Finally, the standard deviation is the square root of the variance:

σ(X) = √Var(X) = √[ln 2 - (3/2) + (ln 2 - 1)^2] ≈ 0.5218

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Answer:

you can use math solver to scan

Step-by-step explanation:

just try

The mean and standard deviation for the number of defective bolts in a total of 400 bolts is 40 and 6.32 (approx), respectively.

The mean and standard deviation for the number of defective bolts in a total of 400 bolts if the probability of defective bolt is 0.1 can be calculated using Poisson distribution.

Poisson distribution is used to predict the number of events that occur over a specified interval of time when the probability of an event occurring is known.

The formula for calculating the mean (μ) and standard deviation (σ) is given as follows:
μ = λσ = √λ
Where λ = np, where n is the number of trials and p is the probability of success.

Here, the probability of a defective bolt is 0.1. So the probability of a non-defective bolt is 0.9. The total number of bolts is 400, so the expected number of defective bolts can be calculated as follows:
μ = λ = np = 400 x 0.1 = 40

The mean number of defective bolts is 40. The standard deviation can be calculated as follows:
σ = √λ = √40 = 6.32 (approx)

The standard deviation is 6.32 (approx).

Therefore, the mean and standard deviation is 40 and 6.32 (approx), respectively.

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To compile a complete linkage map from this crossover data, we need to first determine the order of the linked genes on the chromosome. For this, we will use the percentage of crossovers between different gene pairs. The greater the percentage of crossovers, the further apart the genes are on the chromosome.

Here are the steps to create a linkage map from the given data:

1. Begin with the pairs that have the highest percentage of crossovers:

- In the first set of data, B and C have a 50% crossover rate, so we can assume that they are the furthest apart from each other on the chromosome.

- In the second set of data, B and E have a 50% crossover rate. Since B is already linked to C, we know that E must be further down the chromosome than C and D.

2. Identify pairs that have an intermediate percentage of crossovers:

- In the first set of data, A and B have a 50% crossover rate, but we can't place them yet since we don't know if A is closer to B or to C.

- A and D have a 38% crossover rate, which is lower than the rate for A and C (15%), so we can place D closer to A than C.

- A and E have the lowest crossover rate (8%), so we can assume that A and E are closest to each other on the chromosome.

3. Place the remaining gene pair:

- In the second set of data, C and D have a 50% crossover rate, so we can place them next to each other.

Thus, the order of the linked genes on the chromosome is: A - E - D - C - B

We can also calculate the crossover distances between adjacent genes on the chromosome by subtracting their crossover percentages from 50:

- The distance between A and E is 42 (50 - 8)

- The distance between E and D is 12 (50 - 38)

- The distance between D and C is 0 (50 - 50)

- The distance between C and B is 0 (50 - 50)

Therefore, the complete linkage map for the given crossover data is:

```

A-----42-----E-----12-----D-----0-----C-----0-----B

```

The inequality that best describes the value of the gift card is v ≥ 12.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

The inequality above states that the gift card, v could have $12 or possibly more on it because we know the most expensive app his gift card can buy is $12.

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Francine received a gift card to buy cell phone apps. She says that the card’s value is enough to buy any of the apps:

recipes-$9.50, W02 sports-$10.50, or

Remote desktop-$12.00. Let v be the dollar value of the gift card. Write an inequality that best describes the value of the gift Card.

Answer:

The image of P(11,-4) will be: P'(-6, -2)

Step-by-step explanation:

Given the point

The rule:

(x, y) = (x– 17, y+2)

Meaning the image of P(11,-4) can be determined by subtracting 17 units (moving left) from the x-values and adding 2 units (moving up) to the y-values.

Therefore,

P(11, -4) → P'(11-17, -4+2) = P'(-6, -2)

Thus, the image of P(11,-4) will be: P'(-6, -2)

The volume is left in both speaker cabinets is 1215 cubic inches.

A Cube is a three-dimensional solid shape with six square faces, eight vertices, and twelve edges. It is also described as a regular hexahedron.

Some properties of the cube are-

Now, according to the question;

The side of the cube is given as 9 inches.

Then the volume of the cube will become;

Volume = side³

Volume = 9³ = 729.

A Cube is a three-dimensional solid figure with six square sides. If the face takes up 1/6 of this, then 5/6 is left over for cabinet .

Thus,  5/6×729 = 607.5 cubic inches for just a single speaker, multiplied by two to reach the total of 1215 cubic inches.

Therefore, the volume which is left in both speaker cabinets 1215 cubic inches.

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Answer:

23.94

Step-by-step explanation:

Before Tax Price: $22.80

Sale Tax: 5.00% or $1.14

After Tax Price: $23.94

Answer:

64%

16/25

Step-by-step explanation:

64/100

32/50

16/25