What is the value of S? S-24 + S-41= S+41

Answer:

x = 12.5

Step-by-step explanation:

9514 1404 393

Answer:

  8 in

Step-by-step explanation:

  (1200 mi)×(1 in)/(150 mi) = (1200/150) in = 8 in

The cities are 8 inches apart on the map.

_____

Additional comments

You can think of it as a units conversion problem (as above), or as a proportion:

  (map distance)/(1200 mi) = (1 in)/(150 mi)

  map distance = (1200 mi)(1 in)/(150 mi) = 1200/150 in = 8 in

__

When doing units conversion, you multiply by a scale factor that has units you want in the numerator, and units you want to cancel in the denominator. The numerator and the denominator have the same value, so multiplying by that fraction changes the units but not the value. Here, 1 in = 150 mi, so (1 in)/(150 mi) ≡ 1.

Answer:

I believe you have selected all the correct answers, just give me a few seconds to make sure.

Answer:

z = 35

Step-by-step explanation:

Use the triangle angle sum theorem which states that the interior angles of a triangle sum to 180 degrees. The angles it refers to are the angle measures at each vertex. (Each point of the triangle)

You do not need x and y for this question. They are not angle measures at the vertex.

22+19+104+ z = 180. Combine like terms.

145+z= 180. Subtract 145 from both sides.

z= 35

The probabilities for sub-system are as follows: a. Probability = 0.7223, b. Probability = 0.9775, c. Probability = 0.9996.

a. The probability of the sub-system operating as shown is calculated by multiplying the probabilities of each component operating successfully:

Probability = 0.85 * 0.85 = 0.7225

b. If each component has a backup with a probability of 0.85, the probability of the sub-system operating is the complement of both components failing simultaneously. We can calculate it as follows:

Probability = 1 - (1 - 0.85) * (1 - 0.85) = 1 - (0.15 * 0.15) = 1 - 0.0225 = 0.9775

c. If each component has a backup with a probability of 0.85 and a switch that is 98% reliable, the probability of the sub-system operating is the complement of both components failing simultaneously and the switch also failing. We can calculate it as follows:

Probability = 1 - (1 - 0.85) * (1 - 0.85) * (1 - 0.98) = 1 - (0.15 * 0.15 * 0.02) = 1 - 0.00045 = 0.99955

Rounded to 4 decimal places:

a. Probability = 0.7223

b. Probability = 0.9775

c. Probability = 0.9996

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Answer:

7.393691004

Step-by-step explanation:

7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43​

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given data set is 20, 25, 30, 36, 32, 43​

Firstly we have to find the mean

Mean=20+25+30+36+32+43/6

=186/6

=31

The deviations from the mean are 20-31=-11

25-31=-6

30-31=-1

36-31=5

32-31=1

43-31=12

Using the definition of standard deviation (σ) , we have:

σ=√121+36+1+25+1+144/6

σ=√328/6

σ=√54.66=7.4

Hence, 7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43​

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Answer: 60

Step-by-step explanation: Its just common sense :)

Based on the exchange rate on the day that Chantelle purchased the souvenir, the amount she will be charged in U.S. Dollars is $12.62.

This can be found by the formula:

= Amount in Pesos / Exchange rate

Solving gives:

= 147/ 11.65

= $12.62

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Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges. The series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)  converges absolutely.

To determine the convergence of a series, we can apply various convergence tests. Let's analyze each series separately:

1. \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\)

This series is an alternating series since it alternates between positive and negative terms. To determine its convergence, we can use the Alternating Series Test. The Alternating Series Test states that if a series of the form \(\sum_{n=1}^{\infty} (-1)^{n-1} \cdot b_n\)  satisfies the following conditions:

1. The terms \(b_n\) are positive and decreasing for all n.

2. The limit of \(b_n\) as n approaches infinity is zero.

In our case, \(b_n = 1/(4n)\). Let's check the conditions:

Condition 1: The terms \(b_n = 1/(4n)\) are positive for all n.

Condition 2: Let's calculate the limit of b_n as n approaches infinity:

\(\lim_{{n \to \infty}} \left(\frac{1}{{4n}}\right) = 0\)

Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges.

2. \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)

To determine the convergence of this series, we can use the Ratio Test. The Ratio Test states that for a series \(\sum_{n=1}^{\infty} a_n\) , if the following limit exists:

\(\lim_{{n \to \infty}} \left| \frac{{a_{n+1}}}{{a_n}} \right| = L\)

1. If L < 1, the series converges absolutely.

2. If L > 1, the series diverges.

3. If L = 1, the test is inconclusive.

In our case, \(a_n = \frac{n \cdot (-1)^n}{3.5^n}\) . Let's apply the Ratio Test:

\(\left| \frac{{(n+1) \cdot (-1)^{n+1}}}{{3.5^{n+1}}} \div \frac{{n \cdot (-1)^n}}{{3.5^n}} \right|\)

               \(\left| \frac{{(n+1)/n \cdot (-1)^2}}{{3.5}} \right|\)

              \(\left| \frac{{n+1}}{{n}} \right| \cdot \frac{1}{3.5}\)

            \(\frac{{n+1}}{{n}} \cdot \frac{1}{3.5}\)

Taking the limit as n approaches infinity:

\(\lim_{{n\to\infty}} \left(\frac{{n+1}}{n} \cdot \frac{1}{3.5}\right) = \frac{1}{3.5}\)

Since 1/3.5 < 1, the series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\) converges absolutely.

Therefore, both series converge.

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Answer:

14

Step-by-step explanation:

Answer:

how many term it means

5x^4 is one

6x^3 is two

-2x is three

7 is four

answer is 4

answer is B

Answer:

The p-value you would use to test the claim

p -value = 0.007

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 45

Mean of the Population = 18.0 c.m

Standard deviation of the Population(S.D) = 0.25 c.m

Mean of the sample = 17.9 c.m

Null hypothesis :-

               H₀ : μ = 18.0 c.m

Alternative Hypothesis:

             H₁ :  μ ≠ 18.0 c.m

Test statistic

  \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

 \(Z = \frac{17.9-18 }{\frac{0.25}{\sqrt{45} } } = -2.688\)

|Z| = |-2.688|

|Z| = 2.688≅ 2.7

Step(ii):-

P -value :-

The z-test statistic value = 2.7

P( Z>2.7) = 1- P(Z< 2.7)

                  = 1- ( 0.5+ A(2.7))

                  = 0.5 - A(2.7)

                  = 0.5 - 0.4965

                 = 0.0035

P( Z>2.688)= 0.0035

Given data is two tailed test

2 X P( Z>2.688) = 2 X 0.035 = 0.007

P-value = 0.007

we will choose level of significance ∝=0.05

P -value < 0.05

H₀ is rejected

Alternative Hypothesis is accepted

Final answer:-

The population mean of  pencils produced in that factory have a mean length is not equal to 18.0 cm.​    

Answer:

slope means opposite and reciprocal

Step-by-step explanation:

this means that the slope is 1/3

Answer:

-2.7478467e+20

Step-by-step explanation:

Ty google :3

Answer:

The total amount is 1214.4

Step-by-step explanation:

Given

principal p=$1200

interest rate r= 12%= 12/100= 0.12

time t= 1

n= 12

we know that the compound interest formula is

A=p(1+r/n )^nt

A=1200(1+0.12/12)^1*12

A=1200(1+0.01)^12

A=1200(1.001)^12

A=1200*1.012

A=1214.

Answer:

Correct answers:

$2928$

Step-by-step explanation:

$2928$

We express the interest r in decimal form, so we have r=12%=12100=0.12. The principal is P0=$1,200, so the interest is I=P0⋅r⋅t=$1,200⋅0.12⋅12=$1,728. The interest paid is $1,728, so the total amount repayable is $1,200+$1,728=$2,928.

Answer:

Part A - \(l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4\), Part B - Polynomial of second degree and formed by 3 monomials, Part C - \(l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1\)

Step-by-step explanation:

Part A - The total length of the sides 1 and 2 is equal to the addition between respective polynomials:

\(l_{1} + l_{2} = (3\cdot x^{2} - 2\cdot x - 1) + (9\cdot x + 2\cdot x^{2} - 3)\)

\(l_{1} + l_{2} = (3\cdot x^{2} + 2\cdot x^{2}) + (9\cdot x - 2\cdot x) +[(-1) + (-3)]\)

\(l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4\)

Part B - The degree is the highest exponent of the polynomial and the classification is related to the number of monomial that make part of the algebraic expression. In this case, we conclude that resulting expression is a polynomial of second degree and formed by 3 monomials.

Part C - The length of the third side of the triangle by subtracting the expression found in part A from the polynomial of the perimeter of the triangle:

\(l_{3} = p - l_{1} - l_{2}\)

\(l_{3} = (5\cdot x^{3}+4\cdot x^{2}-x-3) -(5\cdot x^{2}+7\cdot x -4)\)

\(l_{3} = 5\cdot x^{3} + [4+(-5)]\cdot x^{2}+[(-1)+(-7)]\cdot x +[(-3)+ 4]\)

\(l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1\)

Answer:

Part A; Total length of side 1 and 2  = 5·x² + 7·x - 4

Part B; The degree of the polynomial is 2

The classification of the polynomial is a trinomial quadratic equation

Part C; 5·x³ - 4·x² - 6·x + 2

Step-by-step explanation:

The length of the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The perimeter of the rectangle is 5·x³ + 4·x² - x - 3

Part A

The given expression for the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The total length of side 1 and side 2 is given by add ing the given expressions as follows;

Total length of side 1 and 2  = 3·x² - 2·x - 1 + 9·x + 2·x² - 3 = 5·x² + 7·x - 4

Part B

The degree of the polynomial is 2 and the classification of the polynomial is a trinomial quadratic equation

Part C

Given that a rectangle rectangle consists of two pairs of equal opposite sides, we have;

The length of the third side = The perimeter - (2 × The length of side 1 + The length of side 2)

The length of the third side = 5·x³ + 4·x² - x - 3 - (2 × (3·x² - 2·x - 1) + 9·x + 2·x² - 3)

The length of the third side = 5·x³ + 4·x² - x - 3 - (8·x² + 5·x - 5)

The length of the third side = 5·x³ - 4·x² - 6·x + 2

Happy Pride Month!

Answer:

a≈13.27

Step-by-step explanation:

Context for variables

a= Side legth

A=Area

Answer:

B. 7 1/2

Step-by-step explanation:

8x=12

x = 1.5

2y+10=22

2y = 12

y = 6

1.5 + 6 = 7.5

So, the sum of the solutions of the two equations is

B. 7 1/2

Answer:

Step-by-step explanation:

firstly we solve 8x=12 we divide both sides by 8 since 8 is the coefficient of x so we are trying to find x that is 8x divided by 8 which is x =12 divided by 8 which is 1.5 which means x=1.5 then we solve the second one 2y+10=22 we collect like terms which means 2y=22-10 as you should know the 10 changes to negative when crossed over to the other side so then 2y=12 is the answer then we divide both sides by the coefficient of y which is 2 so 2y divided by 2 =y 12 divided by 2 = 6 so y=6 then we add both of them together x=1.5+(y=6) so add 1.5 and 6 together answer is 7.5 or 7  1/2

Answer:

see explanation

Step-by-step explanation:

For the equation to have solutions , then

- 1 ≤ cosq ≤ 1

Since cosq = 1.4 ( out with limits )

Then the equation has no solutions

The answer is B

Hope this helps!

To solve 4x - 12 = 3x - 3, we must isolate the variable, x.

First, move all terms that contain the variable, x to one side, and all the constant terms to the other.

Let's move 3x to the other side. To do that, we can subtract 3x on both sides. This cancels out 3x on the right side since 3x - 3x equals 0.

4x - 12 - 3x = -3

Now, let's move -12 to -13. To do that, we can add 12 on both sides. -12 + 12 equals 0.

4x - 3x = -3 + 12

Now, combine the like terms.

x = 9

And that's it!

Answer:

y=3x+2

Step-by-step explanation:

Find the slope. Slope=Rise/Run=3. Use plot points to find intercept. 5=3(1)+b, 5=3+b, 2=b

Answer:

can't understand the picture is blury

Answer:

Step-by-step explanation:

Since there are four aces and 52 total cards.

P(A)=4/52=1/13

Answer:

The probability that you would draw an ace in a deck of cards would be 8%

The possible values of x be  4.8, 5.6 and 6.4.

The statement of equality between two expressions consisting of variables and/or numbers.

Given:

5x -4y = 24

when y=0

5x = 24

x = 4.8

when y=1,

5x= 28

x= 5.6

when y=2,

5x= 32

x= 6.4

Hence, the possible values of x is 4.8, 5.6 and 6.4.

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The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

Answer:

I believe the answer would be 4 :) hope this helps

the answer is definitely 4

Answer:

-1280

Step-by-step explanation:

10×(-2)= -20

-20×(-2)= 40

4th term: 40×(-2)= -80

5th term: -80×(-2)= 160

6th term: 160×(-2)= -320

7th term: -320×(-2)= 640

8th term: 640×(-2)= -1280

Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating