Given: 2x+13=1 Prove: x = 1 Select from the drop-down menus to correctly complete the proof. Statement Reason 2x+13=1 Given 2x+1=3 Choose... 2x = 2 Choose... x = 1 Choose...

Answer:

x = -2

Step-by-step explanation:

Answer:

240

Step-by-step explanation: If this helped pls give this Brainliest answer.

Answer:

967÷4= 241 r 3

Step-by-step explanation:

To calculate the 90% confidence interval of the population mean age, we can use the following formula: 90% Confidence Interval = sample mean ± margin of error where margin of error = critical value * standard errorLet us calculate the critical value and standard error first.

For a 90% confidence interval, the level of significance is α = 0.10 (10% of probability is distributed between two tails of the normal distribution curve). The corresponding critical values can be obtained from the normal distribution table. Since the sample size is n = 25, we can use a t-distribution with (n - 1) = 24 degrees of freedom to calculate the standard error. The formula for the standard error is: standard error = standard deviation / sqrt(sample size)Substituting the given values:

standard error = 9.54 / sqrt(25) = 1.908

Critical value at α/2 = 0.05 level of significance with 24 degrees of freedom = ±1.711We can calculate the margin of error by multiplying the critical value by the standard error:

margin of error = 1.711 * 1.908 = 3.267

Therefore, the 90% confidence interval for the mean age of all customers is:

90% CI = 30.96 ± 3.267 = (27.693, 34.227)

The margin of error for a 90% confidence interval is 3.267. This means that if we repeatedly drew random samples of 25 customers from the population and calculated their mean age, about 90% of the confidence intervals that we constructed using the sample data would contain the true population mean age. The margin of error is influenced by the sample size and the level of confidence. As the sample size increases, the margin of error decreases, and vice versa. As the level of confidence increases, the margin of error increases, and vice versa. If we assumed that the population standard deviation was known to be 10.0 years, we can use the normal distribution instead of the t-distribution to calculate the critical value. The formula for the critical value is: critical value = zα/2 where zα/2 is the z-score for the desired level of significance α/2. For a 90% confidence interval, α/2 = 0.05 and the corresponding z-score is 1.645 (obtained from the normal distribution table). The formula for the margin of error is:

margin of error = zα/2 * standard error = 1.645 * 9.54 / sqrt(25) = 3.047

The 90% confidence interval for the mean age of all customers, assuming a known population standard deviation of 10.0 years, is:

90% CI = 30.96 ± 3.047 = (27.913, 34.007)

Thus, the 90% confidence interval for the mean age of all customers is (27.693, 34.227) with a margin of error of 3.267. If we had assumed that the population standard deviation was known to be 10.0 years, the 90% confidence interval would be (27.913, 34.007) with a margin of error of 3.047.

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6x3y5

—————

5

Step-by-step explanation:

The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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The slope of a linear function is calculated as the change in y divided by the change in x, instead of the change in x divided by the change in y, as the student did, hence the correct slope is given as follows:

1/2 = 0.5.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

From the graph, when x increases by 2, y increases by 1, hence the slope m of the linear function is given as follows:

m = 1/2

m = 0.5.

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Answer:

x = 7

Step-by-step explanation:

Parallel sides have to be the same length

5x+3 = 38

Subtract 3 from each side

5x+3-3 = 38-3

5x = 35

Divide by 5

5x/5 = 35/5

x = 7

Answer:.35,38% 3/5

Step-by-step explanation:Hope this helped

Answer: 0.35, 38% , 3/5

Step-by-step explanation:

3/5= 0.6= 0.60

38%= 0.38

0.35

Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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Answer:

y(x) = -400 m + (700 m/hr)x

Step-by-step explanation:

Let y = 0 represent sea level.  Noir's initial altitude was -400 m.  In two hours she went from -400 m to +1000 m, a positive change of 1400 m.  Thus, the rate of ascent was m = slope = (change in altitude) / (change in time), or

rate of ascent = 1400/2 m/hr  =  700 m/hr

Thus, an equation describing her altitude relative to sea level after x  hours is

y(x) = -400 m + (700 m/hr)x, where x is the number of hours of driving completed.  This formula correctly predicts the altitude after two hours:

y(2) = -400 m +  (700 m/hr)(2 hr) = 1000 m above sea level.

Answer:

B the answer is B I believe so

Answer:

It’s (20) hope this helps

Step-by-step explanation:

The value of x is 20.

Polygon which has three sides and three vertices is called as triangle.

Sum of all the angles of the triangle is 180°.

Given, line AE is an angle bisector of BAC.

In the triangle ABC:

Line AE bisects ∠BAC into two equal angle.

That means, ∠BAE = ∠EAC

And the angle measure is given.

So,  mBAE = mEAC,

x +30 = 3x - 10

3x-x = 30+10

2x = 40

x = 20

Therefore, the value of x is 20.

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The exact measurements for the largest side is 12√10 inches. Hence option a is the correct option.

What is the right triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle, i.e. two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.

Given that the angles of a triangle are 30-60-90.

The smallest angle is always opposite the shortest side, and vice versa. The longest side is also opposite the largest angle, and vice versa.

The opposite side of angle 30 is the shortest side of the triangle.

The opposite side of angle 90 is the longest side of the triangle.

Sine law:

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

a is the opposite side of angle A, b is the opposite side of angle B, c is the opposite side of angle C.

Assume that the length of the longest side is a.

Applying sine law in the given triangle:

6√10/sin 30 = a/sin 90

6√10/(1/2)= a/1

a = 12√10

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Answer:

x = 25°

Step-by-step explanation:

3x + 2x + x + 30° = 180°

6x + 30° = 180°

6x = 150°

x =25°

=> 3x = 25 * 3 = 75°

=> 2x = 25 * 2 = 50°

=> x + 30° = 25° + 30° = 55°

Answer:

R

Step-by-step explanation:

Look at the X value, 3.5, and draw a line from 3.5 up on the X axis.

Look at the Y value, 2.5, and draw a horizontal line on the y axis. Your point is at R.

Answer:

= 15.866%

Step-by-step explanation:

The class average on a math test was 80.3 and the standard deviation was 5.7.

What percentage of the class scored above a 86?

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 86

μ is the population mean = 80.3

σ is the population standard deviation = 5.7

Hence:

z = 86 - 80.3/5.7

z = 1

Probability value from Z-Table:

P(x<86) = 0.84134

P(x>86) = 1 - P(x<86) = 0.15866

Converting to Percentage

= 0.15866 × 100

= 15.866%

Therefore, the percentage of the class scored above a 86 is 15.866%

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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To compare values across categories using vertical rectangles, Roger should use:

Clustered Column Chart.

Roger must use a Clustered Column Chart to compare values across categories using vertical rectangles. This type of chart represents data with vertical bars, making it easy to compare values across different categories. By visually comparing the heights of the columns, you can quickly identify which category has the highest or lowest value, as well as observe the relative differences between the categories.

In contrast, a line chart is more suitable for showing trends over time, a pie chart is used to represent proportions or percentages of a whole, and a stacked column chart is used to show the composition of a whole across different categories.

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Answer:

A. \(\frac{1}{3}\)

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (0,2) (3,3)

We see the y increase by 1 and the x increase by 3, so the slope is

m = 1/3

So, the answer is A. \(\frac{1}{3}\)

u spammed in my question :(

The difference between an actual score and a predicted score is called a residual.

In various fields such as statistics, econometrics, and data analysis, the term "residual" refers to the difference between the observed or actual value of a variable and the value predicted by a model or estimation method. It represents the unexplained or leftover variation in the data after considering the model's predictions.

In the context of regression analysis, the predicted score is obtained by fitting a regression model to the data and using it to estimate the expected value of the dependent variable. The difference between the actual value and the predicted value for a specific observation is the residual for that observation.

Residuals play a crucial role in assessing the goodness of fit of a regression model. By examining the pattern and properties of residuals, such as their mean, variance, and distribution, analysts can evaluate how well the model captures the underlying relationships in the data and identify any systematic deviations or outliers.

Overall, residuals provide valuable information for understanding the accuracy and precision of predictions made by a model and can be used to refine and improve the model's performance.

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To apply the Limit Comparison Test for the series\(Σ(2n^2 + 3)/(5 + n^5)\) as n approaches infinity, we can compare it with the series\(Σ(1/n^3).\)

First, we need to find the limit of the ratio of the two series as n approaches infinity:

\(lim(n- > ∞) [(2n^2 + 3)/(5 + n^5)] / (1/n^3)\)

Next, we can divide the numerator and denominator by the highest power of n:

\(lim(n- > ∞) [2 + (3/n^2)] / (1/n^5)\)

Taking the limit as n approaches infinity, the second term (3/n^2) approaches zero, and the expression simplifies to:

l\(im(n- > ∞) [2] / (1/n^5) = 2 * n^5\)

Therefore, if the series\(Σ(1/n^3)\) converges, then the series \(Σ(2n^2 + 3)/(5 + n^5)\) also converges. And if the series Σ(1/n^3) diverges, then the series \(Σ(2n^2 + 3)/(5 + n^5)\) also diverges.

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Answer:

Look Down

Step-by-step explanation:

85+2.5v=115

2.5v=30

v=12

Answer:

∠2 = 60°, ∠3 = 120°, ∠4 = 60°, ∠5 = 120°, ∠6 = 60°, ∠7 = 120° and ∠8 = 60°

Step-by-step explanation:

l II m and p is their transversal and 1 = 120°

∠1 + ∠2 = 180 °(Straight line)

120° + ∠2 = 180° > ∠2 = 180° - 120° = 60°

∠2 = 60°

But ∠1 = ∠3 (Vertically opposite angles)

∠3 = ∠1 = 120°

Similarly ∠4 = ∠2

(Vertically opposite angles)

∠4 = 60°

∠5 = ∠1 (Corresponding angles)

∠5 = 120°

Similarly ∠6 = ∠2 (Corresponding angles)

∠6 = 60°

∠7 = ∠5 (Vertically opposite angles)

∠7 = 120°

And ∠8 = ∠6 (Vertically opposite angles)

∠8 = 60°

Hence ∠2 = 60°, ∠3 = 120°, ∠4 = 60°, ∠5 = 120°, ∠6 = 60°, ∠7 = 120° and ∠8 = 60°

Answer:

sas

Step-by-step explanation:

Answer:

Step-by-step explanation:

There is no third fact. Either LM must equal MS or P and Q are both right angles. You can't assume that is true. It must be part of the givens. Even LP is perpendicular to PQ QS is perpendicular to PQ would do it. But as it stands, there is no solution.

If P and Q are both right angles, the proof would be ASA which is not a choice.

If LM =MS (as a given), then it would be SAS

Since neither of these are possible, there is no answer.

Answer:

Explain more

Step-by-step explanation:

Go to Wyzant for expert

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

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To find the amount that results from investing $50 at 10% interest compounded continuously after a period of 4 years, we can use the formula for continuous compound interest:

�=�⋅���

A=P⋅ert

where: A = Amount (result) P = Principal (initial investment) r = Interest rate t = Time in years e = Euler's number, approximately 2.71828

Plugging in the given values: P = $50 r = 10% = 0.10 t = 4 years

We can calculate the amount as follows:

�=$50⋅�0.10⋅4

A=$50⋅e

0.10⋅4

Using a calculator or a software, we can evaluate the exponential function to find the amount:

�≈$50⋅�0.40≈$73.23

A≈$50⋅e

0.40

≈$73.23

So, after 4 years, the investment results in approximately $73.23.

The investment results in approximately $73.23 after 4 years at compound interest.

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The z - value of given data is -1. A data point's z-value is a measurement of how many standard deviations the data point is from the population mean.

The z-value for a given data point (x) can be calculated using the following formula: z = (x - ) /, where and are the population mean and standard deviation, respectively. In this case, the sum of 7 and 3 is 3. Consequently, we can enter the values into the formula with x = 4 to get the following outcome: z = (4 - 7) / 3 = -1

The data point x = 4 is therefore one standard deviation from the population mean. A standard score with a z-value of -1 can be used to compare a data point to other population values and make distributional inferences.

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