please help me asap ! in a hurry !

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

If the series is convergent then the sequence converges to the limit of 3.

To determine the convergence of the sequence, we'll analyze the behavior of the terms as n approaches infinity. Let's calculate the limit of the terms: lim(n→∞) 3(1 + (2/n))

The given sequence is defined as: an = 3(1 + (2/n))

We can simplify this limit by distributing the 3:

lim(n→∞) 3 + 3(2/n)

As n approaches infinity, the term 2/n approaches 0. Therefore, we have:

lim(n→∞) 3 + 3(0)

= 3 + 0

= 3

The limit of the terms as n approaches infinity is 3. Since the limit exists and is finite, the sequence is convergent.

Hence, the sequence converges to the limit of 3.

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Answer:

Can I get equation for this too?

Step-by-step explanation:

To construct a frequency distribution with a class width of 10,000, we'll divide the income ranges into appropriate intervals and count the frequencies within each interval. Here's the frequency distribution:

Income Range Frequency

35,000 - 44,999 6

45,000 - 54,999 9

55,000 - 64,999 8

65,000 - 74,999 2

Now, let's construct the relative frequency distribution. To calculate the relative frequency, we divide the frequency of each interval by the total number of data points. In this case, the total number of data points is the sum of the frequencies.

Total number of data points = 6 + 9 + 8 + 2 = 25

Income Range Frequency Relative Frequency

35,000 - 44,999 6 6/25 = 0.24

45,000 - 54,999 9 9/25 = 0.36

55,000 - 64,999 8 8/25 = 0.32

65,000 - 74,999 2 2/25 = 0.08

The relative frequency distribution is as follows:

Income Range Relative Frequency

35,000 - 44,999 0.24

45,000 - 54,999 0.36

55,000 - 64,999 0.32

65,000 - 74,999 0.08

Note: The relative frequencies are expressed as decimals, not rounded to the nearest decimal place.

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The solution of the expression is,

⇒ S = - 5100

Since, An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

We have to given that;

Sequence is,

⇒ ∑ n = 1 to n = 4 [ 100 (- 4)ⁿ⁻¹ ]

Now, We get;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

Replace n to n + 1;

⇒ a (n + 1) = 100 (- 4)ⁿ

And, For n = 1;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

⇒ a (1) = [ 100 (- 4)¹⁻¹ ]

⇒ a (1) =  100

And, Common ratio = - 4

Hence, The sum of geometric ratio is,

⇒ S = 100 (1 - (- 4)⁴) / (1 + 4)

⇒ S = 100 (1 - 256) / 5

⇒ S = - 5100

Thus, The solution of the expression is,

⇒ S = - 5100

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The conclusion about the congruent triangles is explained below.

What is congruent triangles?

Two triangles are stated to be congruent if the 3 facets and the 3 angles of each the angles are same in any orientation.

Two pairs of corresponding side lengths are proportional by the same ratio. Also the angles are congruent.

So, the triangles are congruent.

This standards of congruency is is aware of as ASA criterion as a facet blanketed among angles are all identical.

Two triangles are congruent, if angles and the facet blanketed among them in a single triangle is same to the 2 angles and the facet blanketed among them of the alternative triangle.

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Answer:

0.8

Step-by-step explanation:

The fraction 8/10 is 0.8 as a decimal because you divide 8 by 10.

The decimal equivalent of 8/10 is equal to 0.8

A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.

Given here:  The proper fraction is given as 8/10

All fractions can be converted into decimals by dividing the numerator by the denominator. For example, the fraction 45 represents 4 out of 5, or 4 divided by 5. This fraction can be converted into a decimal by dividing 4 by 5.

Thus we have 8/10=4/5

                              =0.8

Hence, the decimal equivalent of 8/10 is equal to 0.8

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Answer:

w - 10

Step-by-step explanation:

Substract 10 from W --> w - 10

Answer:

The slope is 3/4 and the y-intercept is 1

Step-by-step explanation:

2x+x=4(y-1)

3x=4(y-1)

Distributive prop.

3x=4y-4

Changing into slope-intercept form

4y-4=3x

4y=3x+4

y=3/4x+1

The slope is 3/4 and the y-intercept is 1

Answer:

Equation: y = 3/4(x) + 1

Slope: 3/4

Y-intercept: 1

Step-by-step explanation:

1. How do we solve this problem?

Step 1: Simplify both sides of the equation.

Step 2: Flip the equation.

Step 3: Add 4 to both sides.

Step 4: Divide both sides by 4.

2. Now, the y-intercept form of an equation goes like this: y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. In the place of m, the slope is 3/4. In the place of b, the y-intercept is 1.

The equation of the line that is parallel to y = -(1/4)x + 5 and passes through (2, -3) is y = -(1/4)x - 5/2.

To find the equation of the line that is parallel to the line y = −(1/4)x + 5 and passes through the point (2, −3), follow these steps:Step 1: Determine the slope of the given line.The slope-intercept form of the equation of the line is y = mx + b where m is the slope of the line. y = −(1/4)x + 5 is already in slope-intercept form, so its slope is −1/4. Step 2: Determine the slope of the line that is parallel to the given line. The slope of a line parallel to another line is the same as the slope of the given line. Therefore, the slope of the line we need to find is also −1/4. Step 3: Determine the y-intercept of the line we need to find. We already know that the line passes through the point (2, −3). To determine the y-intercept of the line, substitute x = 2 and y = −3 into the slope-intercept form of the equation of the line. −3 = −(1/4)(2) + b b = −3 + 1/2 = −5/2 Therefore, the y-intercept of the line we need to find is −5/2. Step 4: Write the equation of the line in slope-intercept form. The equation of the line we need to find is y = mx + b where m = −1/4 and b = −5/2. y = −(1/4)x − 5/2 is the equation of the line that is parallel to y = −(1/4)x + 5 and passes through (2, −3).Answer: The equation of the line that is parallel to y = -(1/4)x + 5 and passes through (2, -3) is y = -(1/4)x - 5/2.

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Answer:

28 in^2

Step-by-step explanation:

Given,

Height of the parallelogram = 14 in

Base of the parallelogram = 2 in

Therefore, area of the parallelogram = base × height

= 2 in × 14 in

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 28 {in}^{2} (ans)\)

ANSWER

EXPLANATION

We want to find the measure of the angle of the arc PL.

To do this, we first have to find the value of x.

We have that:

According to circle theorem, the angles subtended at the circumference by the same arc are equal. This means that:

Collect like terms and simplify:

Divide both sides by 3:

According to circle theorems, we have that the angle of an arc is equal to twice the angle subtended at the circumference by that arc.

This means that:

Given that the angles of the triangle are 30, 60, and 90.

Using the sine law

Substitute A=30, B=60, and C=90, we get

We know that the longest side should be the opposite side of the big angle (90).

Let c be the longest side of the given triangle.

Substitute c=1, we get

The smallest side is 0.5 feet

Conver the feet into inches.

Dividing both sides by 2, we get

Hence the smallest side is 6 inches.

Answer:

The slope is -3 and the y intercept is -2

Step-by-step explanation:

3x + y = -2

Solve for y

Subtract 3x from each side

3x-3x + y =-3x -2

y = -3x-2

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is -3 and the y intercept is -2

Answer:

slope is up 3 over 1, and y int is y =3x + 2

Step-by-step explanation:

y = 3x + 2

Answer:

Step-by-step explanation:

Simply we know this is an isosceles triangle meaning that:

The other angle is also 35.

With this information, we can say that as a triangle adds up to 180, we can put this in a formula:

x+35+35 = 180

x+70 = 180

x = 110

Answer: The tax is $3.28.

Step-by-step explanation:

8% is equal to 0.08.

If you multiply 41 x 0.08 you get 3.28.

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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Based on the ratios given of 0.3 : 4 = 9 : y, the value of y can be found to be 120

From the given ratios of 0.3 : 4 = 9 : y, we can infer that these are equivalent ratios.

This means that y is to 9, what 4 is to 0.3.

The value of y can therefore be found by direct proportion:

0.3 : 4

9 : y

Cross multiplying gives:

0.3 y = 36

y = 36 / 0.3

y = 120

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Answer: Option (d).

Step-by-step explanation:

it is given that B is between A and C.

Using segment addition property, we get

\(AC=AB+BC\)

The given values are AB = 46, BC = 12x, and AC = 142.

Substitute these values in the above equation.

\(142=46+12x\)

\(142-46=12x\)

\(96=12x\)

\(\dfrac{96}{12}=x\)

\(8=x\)

\(x=8\)

Therefore, the correct option is (d).

Answer:

Diagonal   Length

AC               7.21

BD              7.21  

Step-by-step explanation:

Answer:

Diagonal  |  Length

AC            |  7.21

BD            |  7.21

Step-by-step explanation:

-edmentum

The Speed of the train in Miles per hour will be 105 miles per hour.

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 slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

A train travels at a constant speed during a portion of its cross-country route the table shows the distance the train traveled over different intervals of time at this speed.

The slope represents the speed of the train. Then we have

m = (157.5 - 131.25) / (1.50 - 1.25)

m = 26.25 / 0.25

m = 105 miles per hour

The Speed of the train in Miles per hour will be 105 miles per hour.

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a) The probability that more than 64% of the sampled adults drinks coffee daily is equals to the 0.2574.

b) The probability that the sample proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67 is equals to the 0.2316.

We have a report data of National Coffee Association related to coffee drinking by adults. Sample proportion that adults drink coffee daily, p = 61% = 0.61

1 - p = 1 - 0.61 = 0.39

A random sample of sample size, n

= 250.

Population proportion= Sample proportion, p = 0.61

So, mean for population, μₚ = population proportion = 0.61

Standard deviations for population is σₚ

= √p( 1 - p)/n = √0.61(1 - 0.61)/250

= 0.0308

The sample proportion is approximately normally distributed, p ~ N(0.62,0.03072).

a) The probability that more than 64% of the sampled adults drinks coffee daily is, P( X > 0.64) = P ( (X - μₚ)/σₚ < (0.64 - 0.61)/0.0308 = 0.974

Using the normal distribution table probability value, P (Z >0.974 ) is equals to 0.2574 so, P( X> 0.64) = 0.2574.

b) The probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67, P ( 0.59 < p < 0.67) = P[(0.59 - 0.61) / 0.0308 < (p - μₚ)/σₚ < (0.67 - 0.61) / 0.0308]

= P(-0.65 < z < 1.94)

= P(z < 1.94) - P(z < -0.65 )

= 0.4738 - 0.2422

= 0.2316

Hence, required probability is 0.2316.

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Complete question:

Coffee: The National Coffee Association reported that 61% of U.S. adults drink coffee daily. A random sample of 250 U.S. adults is selected. Round your answers to at least four decimal places as needed.

a)find the probability that more than 64% of the sampled adults drinks coffee daily

b)Find the probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67.

Answer:

12 miles

Step-by-step explanation:

3 times 4  = 12

Answer: 12 miles

Step-by-step explanation:

This is right because if Gavin walks at a rate of 3 miles each hour and now there are 4 hours then that means we have to multiply 3 times 4. If we do that we get 12, and just to make sure to check it's 12 you can divide 12 by 4 (that equals 3) or 12 divided by 3 (and that equals 4.)

Hope This Helps!

Answer:

1a) 54.36

1b) 3.02 per batch

Step-by-step explanation:

1a) 12 x 4.53= 54.36

1b) 54.36/18=3.02

Total amount of pounds divided by the amount of cinnamon roll batches

Answer:

Answer

Step-by-step explanation:

Question 1a: 12 x 4.53 = 54.36

Question 1b: 54.36 ÷ 18 = 3.02

I think these are the answers please let me know if they are wrong :3

Have a good day!

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

75من فضلك shdsndjdkskdjjsdjcjjsj

I think 5 dollars

because 15+5= 25

Answer:

40%

Step-by-step explanation:

If you do 25 times 40% you get 10. For a discount price you subtract whatever the percentage is from the original price. In this instance 10 is 40% of 25, so you would do 25-10, which would give you 15.

We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.

There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.

Any survey is carried out objectively.

It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.

Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.

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