A number x, when rounded to 1 decimal place, i equal to 12. 4. Find the error interval for x

Spanish is a Romance language of the Indo-European language family that emerged from the Iberian peninsula's colloquial Latin. It is now a worldwide language with around 500 million native speakers, primarily in the Americas and Spain. Twenty nations have Spanish as their official language.

These numbers in Spanish are:

1. 49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

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Answer:

49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

Step-by-step explanation:

Answer:

48°

Step-by-step explanation:

m∠x plus 132° equals 180°, so x equals 180 minus 132, or 48°.

Work Shown:

y+47 = 90

y = 90-47

y = 43

Given :-

To find:-

Answer:-

Firstly as we know that the measure of a straight line is 180° . The given line is made up of 3 angles , which are 47° , y° and one right angle i.e. 90°.

So the sum of all these angles will be 180° as these are the angles of a straight line.

So that,

\(\implies 47^o + y^o + 90^o = 180^o\\\)

\(\implies 137^o + y^o = 180^o \\\)

\(\implies y^o = 180^o-137^o\\\)

\(\implies \underline{\underline{ y = 43}} \\\)

Hence the value of y is 43 .

and we are done!

If Team A's player A4 is disqualified after receiving their fifth foul and the coach does not have a substitute ready within the permitted 15 seconds, the penalty is a technical foul.

In basketball, when a player accumulates five fouls during a game, they are disqualified and must leave the game. However, the coach has the option to substitute another player into the game to replace the disqualified player.If the coach fails to have a substitute ready within the permitted 15 seconds, it results in a technical foul. A technical foul is a penalty in basketball that is assessed against the team, not a specific player. It typically results in free throws being awarded to the opposing team and possible other consequences such as possession of the ball.

The technical foul is a consequence of the coach's failure to have a substitute ready within the designated time, which is considered a violation of the rules. The penalty serves as a deterrent and ensures that teams adhere to the rules and maintain fair play during the game.

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Answer:

1/13

Step-by-step explanation:

There are four 9s in a standard deck of 52.  So the probability is 4/52 = 1/13.

Numerical Solver and Euler’s method: There are different numerical methods that are used for approximating the solution of a differential equation such as Euler's method, Taylor's series method, Runge-Kutta method, etc.

Euler's method is a first-order approximation method that can be used to solve initial-value problems. To approximate the solution of the differential equation

\(y′=x2+y2, y(0)=2, w\)

e use the Euler's method. We need to find y(0.5) using Euler's method and the given differential equation.

The first step is to divide the interval [0, 0.5] into two sub-intervals, namely [0,0.1] and [0.1,0.5]. Euler's method with h = 0.1:We use the Euler's method to find the value of y at the end of each sub-interval.

Let y0 be the given initial value of y and let y1 be the value of y at the end of the first sub-interval [0, 0.1]. Therefore,

\(y(0.5) = y4 = 2.4373 with h = 0.05.\)

Hence, the required four-decimal approximation of

y(0.5) is:y(0.5)

= 3.062

with

\(h = 0.1, and y(0.5) = 2.4373\)

with h = 0.05.

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Answer:    53.213

Step-by-step explanation:

Answer:

5,376in^3

Step-by-step explanation:

find the volume of the smaller box first

10×4×12 = 480in^3

find volume of bigger box

17×12×24 = 4,896in^3

add both volumes 4,896 +480 = 5,376in^3

Answer:

v = 5,376

Step-by-step explanation:

So the first thing we have to do is figure out the volume for the first part of the cube figure.

To do this we just multiply H x W x L =

In this case v = 4,896

Now we do the same thing with the other rectangular prism:

10 x 4 x 12 = 480

Now that we have the 2 volumes we add them together:

4,896 + 480 = 5,376

Hence the total volume = 5,376

Answer:

Step-by-step explanation:

42 square units

Answer:

A. 42 - 12

Step-by-step explanation:

6(7-2) = 6(5) = 30

A. 42 - 12 = 30

B. 13 - 8 = 5

C. 67 - 62 = 5

D. 7 - 2 = 5

Answer:

42-12

Step-by-step explanation:

I'll keep this short

You do distributive property so you do 6*7-6*2=42-12

GL, tell me if you have any questions

Answer:

\( \cos(47 \degree) = \frac{h}{12} \\ h = 12 \cos(47 \degree) \\ h = 8.2 \: cm\)

you need to use cos

function

The rounding off of 34.171875 to the nearest 100th gives us= 34.17

The nearest hundredth should be the second digit after the decimal point. To round off any decimal figures, we need to see if the digit after the hundredth is greater than or equal to 5. If such is the case, then add 1 to the hundredth, or else remove the digits.

Here, the nearest hundredth digit is 7, and the digit after it (i.e, the third place after decimal) is smaller than 5. So, there is no need of adding an extra 1 to the hundredth. Now, after casting off the remaining digits, we get 34.17.

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To determine if the matrix is invertible, we can calculate its determinant. The determinant of a 2x2 matrix [a b; c d] is given by ad-bc. Applying this formula to the given matrix, we get (9*(-5)) - (3*(-15)) = 0.

Therefore, the determinant is zero. This means that the matrix is not invertible, as a matrix is invertible if and only if its determinant is not zero.

Thus, the correct answer is A. We didn't need to find the pivot positions or check if the columns are linearly dependent, as the determinant alone is enough to determine invertibility.

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The question asks to determine whether the series ∑(1/(-1)^n(n+1)^(3n) is conditionally convergent, absolutely convergent, or divergent.

To determine the convergence of the given series, we can use the ratio test. The ratio test states that if the absolute value of the ratio of consecutive terms in a series approaches a limit less than 1 as n approaches infinity, then the series converges absolutely. If the limit is greater than 1 or it does not exist, the series diverges. If the limit is equal to 1, the test is inconclusive.

Applying the ratio test to the given series, let's consider the ratio of the (n+1)-th term to the n-th term: |((-1)^(n+1)(n+2)^(3(n+1))) / ((-1)^n(n+1)^(3n))|. Simplifying this expression gives |(-1)(n+2)^(3(n+1)) / (n+1)^(3n)|.

Taking the limit of this ratio as n approaches infinity, we can use properties of exponents to simplify the expression further. The limit simplifies to |-((n+2)/(n+1))^3|. As n approaches infinity, the term (n+2)/(n+1) approaches 1. Therefore, the limit simplifies to |-1^3|, which is equal to 1.

Since the limit of the ratio is equal to 1, the ratio test is inconclusive. Therefore, we cannot determine the convergence or divergence of the given series solely based on the ratio test. Additional convergence tests or methods may be required to determine the nature of the series.

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There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Answer:

remember powers is like multiplying that number by itself 3x3x3x3x3x3x3x3x3x3x3 ÷ 3x3x3x3

the second problem 3x3x3 × 3

(If that helps

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

Explanation:

x = amount (in inches) the spring is stretched

y = force applied (in pounds)

y = kx for some constant k, since x and y vary directly

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

Plug in the given info that x = 5 and y = 150 pair up together

Solve for k

150 = k*5

150/5 = k

k = 30

The equation goes from y = kx to y = 30x. Whatever the stretching distance (x) is, you multiply by 30 to get the force needed (y) to pull the spring.

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

Plug in y = 180 to solve for x

y = 30x

180 = 30x

30x = 180

x = 180/30

x = 6

The spring will be stretched 6 inches if you apply a force of 180 pounds.

Answer with step-by-step solution:

x^2+8x-9

x^2+9x-x-9

x(x+9)-(x+9)

(x+9)(x-1)

Answer:

c.15

Step-by-step explanation:

The temperature shown on the thermometer is -15 C

When you add 30 to -15 you get a sum of 15

Answer:

Slope=8

Step-by-step explanation:

Answer:

$15+x

x in dollars

Step-by-step explanation:

Subscription per month=$15

Cost of each downloaded song per month=$15 + 1

If x number of songs are downloaded in a month

The cost of downloading x songs= $15 + x

Where,

$15 = fixed cost ( subscription)

x= variable cost( each unit of songs downloaded)

If 20 songs are downloaded in a month.

The cost of downloading the 20 songs

=$15+$20

=$35

Jerial would be responsible for paying $295 if she used more than the allotted 2 GB in a given month.

Using linear equations,

Data plans cost $45 per month.

Additional fee equals $15 per GB

Jerial would be responsible for paying the following in a month if she used 2 GB more than allowed: = $45 + $15(5) = $45 + $ 250 = $ 295

The monthly payment that Jerial will be required to make as her usage exceeded x GB is:

= $45 + $15 (x)

= $45 + $15x

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The Taylor series formula in summation notation f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n } where f^n(a) denotes the nth derivative of f(t) evaluated at t = a.

Since the functions f(t) and g(t) have not been given in the question, I cannot provide a specific answer to this question. However, I can provide a general approach to finding the power series expansion of a function about a point.

To find the power series expansion of a function f(t) about a point t = a, we can use the Taylor series formula:

f(t) = f(a) + f'(a)(t-a) + (1/2!)f''(a)(t-a)^2 + (1/3!)f'''(a)(t-a)^3 + ...

where f'(a), f''(a), f'''(a), ... are the first, second, third, and higher-order derivatives of f(t) evaluated at t = a.

To find the first four nonzero terms of the power series expansion, we can calculate the values of f(a), f'(a), f''(a), and f'''(a) at t = a, substitute them into the Taylor series formula, and simplify the resulting expression. The first four nonzero terms will be the constant term, the linear term, the quadratic term, and the cubic term.

To find the general term of the power series expansion, we can write the Taylor series formula in summation notation:

f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n }

where f^n(a) denotes the nth derivative of f(t) evaluated at t = a. The general term of the power series expansion is given by the expression in the curly braces. We can use this expression to find any term in the series by plugging in the appropriate values of n and f^n(a).

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We can say with 90% confidence that the true mean pH level of the population lies between 4.293 and 4.507.

To find the 90% confidence interval estimate for the mean pH level, we need to use the following formula:

Confidence interval = sample mean ± margin of error

The margin of error depends on the level of confidence, the sample size, and the standard deviation. We can use a t-distribution to calculate the margin of error since the sample size is less than 30.

First, we need to find the t-value for a 90% confidence interval with 48 degrees of freedom (n - 1):

t-value = t(0.05, 48) = 1.677

where t(0.05, 48) is the t-value for a two-tailed test at the 0.05 level of significance with 48 degrees of freedom.

Next, we can calculate the margin of error:

Margin of error = t-value × (standard deviation / square root of sample size)

Margin of error = 1.677 × (0.35 / sqrt(49)) = 0.107

Finally, we can calculate the confidence interval:

Confidence interval = sample mean ± margin of error

Confidence interval = 4.4 ± 0.107

Confidence interval = (4.293, 4.507)

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Answer:

6960

Step-by-step explanation:

Answer:

y = 42

Step-by-step explanation:

Since QT is a midsegment then it is half of RS , that is

QT = \(\frac{1}{2}\) RS, substitute values

y = \(\frac{1}{2}\) (y + 42) ← multiply both sides by 2 to clear the fraction

2y = y + 42 ( subtract y from both sides )

y = 42