Explain answer??????????????????

Answer:

a = 150

Step-by-step explanation:

Sum to infinity of a geometric series

\(S_{\infty}=\dfrac{a}{1-r}\:\textsf{ for }|r| < 1\)

where:

Given:

Substitute the given values into the formula and solve for a:

\(\begin{aligned}S_{\infty} & =\dfrac{a}{1-r}\\\\\implies 100 & =\dfrac{a}{1-\left(-\frac{1}{2}\right)}\\\\ 100 & =\dfrac{a}{1+\frac{1}{2}}\\\\100 & = \dfrac{a}{\frac{3}{2}}\\\\a & = \dfrac{3}{2} \cdot 100\\\\a & = 150\end{aligned}\)

Answer:

that's my answer

Step-by-step explanation:

i hope it helps

If the Worker is retrenched, the probability that he is a plumber or a plasterer will be  0.0152.

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

The probability that the employee is a plumber;

\(\rm P(plumber)= \frac{No \ of \ plumber}{Total \ number \ of \ employ} \\\\ P(plumber)=\frac{12}{108} \\\\\ P(plumber)= 0.11\)

The probability that the employee is a plasterer;

\(\rm P(plasterers )= \frac{No \ of \ plasterers }{Total \ number \ of \ employ} \\\\ P(plasterers )=\frac{15}{108} \\\\\ P(plasterers )= 0.13\)

The probability that he is a plumber or a plasterer:

P = 0.13 × 0.11

P= 0.0152

Hence, if the worker is retrenched, the probability that he is a plumber or a plasterer will be  0.0152.

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After rounding off the median of the given data would be 38.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.

It could be referred to as "the middle" value for a data set.

The fundamental difference between the mean and the median when describing data is that the median is more representative of the "normal" value because it is not skewed by a tiny fraction of exceptionally big or small values.

So, calculate as follows:

22, 25, 25, 36, 39, 48, 53, 70

TErms are even: Average of two middle terms to get median.

Median = 36 + 39/2

Median = 37.5

Rounding off: 38

Therefore, after rounding off the median of the given data would be 38.

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Answer:

CI 96 %  =  ( - 0.1128  ; 0.0728 )

CI 95%  =  ( - 0.1087 ; 0.6878 )

The two intervals contain 0 value therefore we can support that there is not statistics difference between the two groups with confidence level of 96 % and  95%

Step-by-step explanation:

Boys sample:

sample size   n₁  = 200

x₁  number of boys saying their parents are very involved in their lives

=  93

p₁ = x₁/n₁   =  93/200  =  0.465  then  q₁ =  1  -  p₁   q₁ = 1 - 0.465  q₁ = 0.535

Girls sample

sample size   n₂  = 300

x₂  number of girls saying their parents are very involved in their lives

=  172

p₂  =  x₂/n₂  =  172/ 300  =  0.573 then  q₂ = 1 -0.573  q₂ =  0.427

CI 96 %      α = 4 %  α = 0.04    α/2 = 0.02  

p₁  -  p₂  =  0.465 -  0.573  = - 0.168

CI 96 %   =  (  p₁  -  p₂ ) ±  z(c) * SE

z(c)  for  α  =  0.02       z(c)  =  - 2.05

SE = √ (p₁*q₁)/n₁  +  (p₂*q₂)/n₂

SE = √ ( 0.465*0.535)/200  +  (0.573*0.427)/300

SE =  √  0.00124  +  0.000815    

SE =  √  0.00205

SE =   0.0453

CI 96 %  =  (  -0.02  ±  ( 2.05 * 0.0453 ) )

CI 96 %  =  (  -0.02  ±  ( 0.0928 ))

CI 96 %  =  ( - 0.1128  ; 0.0728 )

a) CI 95%  α =  5 %   α = 0.05     α/2 =  0.025

SE = 0.0453

z(c) for  0.025 is from z-table   z(c)  =  1.96

CI 95%  =  ( - 0.02 ±  1.96 * 0.0453)

CI 95%  =  ( - 0.02 ± 0.08878 )

CI 95%  =  ( - 0.1087 ; 0.6878 )

1) Since DKLM is Rhombus then these are the valid properties:

• 4 congruent sides

2) If DK is 8 KL=?

As a rhombus, all of their sides are congruent. So KL = 8

The measure of the angle ∠DML = 82º then the measure of ∠DKM

The diagonals of the rhombus bisect the angle on the opposite side. So ∠DKM = 41º

Answer: yeah the other person is right

Step-by-step explanation:

The value of x in degrees will be 6° and 11° using properties of parallel lines.

They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.

Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.

The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.

In the above figure,

8x + 7 = 55

8x  = 55 - 7

x = 6

Measure of the angle will be 8 × 6 + 7 = 49

In 11)

10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)

⇒x = 11

The value of x in degrees will be = 11° using properties of parallel lines.

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Answer:

$107.71

Step-by-step explanation:

$1508/14= $107.71

Answer: 503,000

Step-by-step explanation:

The best way to understand the concept is to look at a round to the nearest thousand example: what is 52437 rounded to the nearest thousand?

As the hundredth digit is 4, which is less than 5, the number should be rounded down to 52000. As for 52678, as the hundredth digit is 6, which is larger than 4, it will be rounded up to 53000.

Answer: ..........................................

Step-by-step explanation: I dunno what that means, be specific!

Answer:

20°

Step-by-step explanation:

60 = (x + 40) (opposite angles are equal)]

x = 60 - 40 = 20°

Answer:

=> x = 20°

Step-by-step explanation:

here's your solution

==> both are vertical angle ,so both are equal

==> 60° = x + 40°

==> - x = -60° + 40°

==> - x = - 20°

==> x = 20°

\(hope \: it \: helps\)

Answer:

$38.90

Step-by-step explanation:

$2.00 per mile x 18 miles is 36.00 then add the 2.90

By setting up the equation and solving for the unknown variable, we find that the number in question is -15. The answer provides a step-by-step method for solving an equation that represents a word problem.

Let's start by translating the given problem into an equation.

"The product of a number and -6" can be written as "-6x", where "x" is the unknown number. "Five times the sum of that number and 33" can be written as "5(x+33)".

Putting these together, we get:

-6x = 5(x+33)

Now we can solve for "x":

-6x = 5x + 165

-11x = 165

x = -15

Therefore, the number we're looking for is -15.

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Answer:

equation: 4x + 4 = 40

x = 9

Step-by-step explanation:

Given information:

• The perimeter of a square = 40

• Each side = x + 1

A square has 4 sides, and since each of the side lengths = x + 1, the perimeter is equal to 4(x + 1).

So, the perimeter is equal to 4x + 4, which is also equal to 40.

The equation that can be made to solve for x  is 4x + 4 = 40.

Now, to solve the equation:

4x + 4 = 40     Subtract both sides by 4 to isolate the variable.

4x = 36           Divide both sides by 4 to get the value of x.

x = 9

The value of x in this equation is x = 9.

Answer:

Hey there!

8(2)+8(6)

16+48=64

The total price is 64 dollars.

Let me know if this helps :)

Step 1 : Given the function below

Step 2: Write the function for h(3), this is done by substituting 3 for x in the function h(x) above

Step 3: Write the corresponding value for the function g(9) and an inverse function of R⁻¹ (3) on the table.

Step 4: Substitute the g(9) and R⁻¹ (3) values in the h(3) equation and simplify

Hence, the value of h(3) is -11

The second option is the correct answer.

The break even number is 500 units

The parameters given in the question are

Fixed expenses is $7,000

Contribution margin is $14/unit

The formular for break even number is

= fixed expenses/contribution margin

= 7000/14

= 500

The break even number is 500 units

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Answer:

speed=16,480 miles per hour or 16,480/hour.

Step-by-step explanation:

Distance=speed ×time

Answer:

D. the length of a car

Step-by-step explanation:

A car's measurement is always measured in meters.

Answer:

Probably equal to 6 or 7.

Step-by-step explanation:

The operation that will result in a trinomial for the given expression is subtraction operator ( - ).

A trinomial is an algebraic expression that has three terms. It is also a polynomial consisting of three terms or monomials.

The given polynomial expression;

( 4x⁵ - 8x ) ?  (3x² - 8x + 9 )

To simplify the given polynomial expression into trinomial, we will use the following operation.

The chosen operation will be such that, we will have only three terms left after simplification.

So we will choose subtraction operator "-"

( 4x⁵ - 8x ) -  (3x² - 8x + 9 )

= 4x⁵ - 8x  - 3x² + 8x - 9

simplify further; (-8x and +8x will cancel out)

= 4x⁵ - 3x² - 9

Finally, we have our desired trinomial as 4x⁵ - 3x² - 9.

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The equation of line CD in standard form is: B. 5x - 3y = 30

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression (linear function);

y = mx + c

Where:

Next, we would determine the slope of this line by using this formula:

Slope, m = Δy/Δx

Slope, m = Change in y-axis/Change in x-axis

Slope, m = (0 + 5)/(6 - 3)

Slope, m = 5/3

At point (6, 0), the point-slope equation of the line is given by:

y - y₁ = m(x - x₁)

y - 0 = 5/3(x - 6)

y = 5x/3 - 30/3

y = 5x/3 - 10

Multiplying all through by 3, we have:

3y = 5x - 30

Rearranging the equation, we have:

5x - 3y = 30

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Answer:

I believe its B. 5x – 3y = 30

Step-by-step explanation:

Edge 2022

Answer:

A

Step-by-step explanation:

Triangle angles add up to 180. we know 120, and the others are x and x+4

180-120=60

x+x+4=60

2x+4=60

2x+56

x=28

x+4=32

Complete Question

A 95% confidence interval of 19.3 months to 47.5 months has been found for the mean duration of? imprisonment, ??,of political prisoners of a certain country with chronic PTSD.

a. Determine the margin of error, E.

b. Explain the meaning of E in this context in terms of the accuracy of the estimate.

c. Find the sample size required to have a margin of error of 13 months and a 99% confidence level.? (Use 38 months. for standard deviation )

d. Find a 99% confidence interval for the mean duration of? imprisonment, ??, if a sample of the size determined in part? (c) has a mean of 36.5 months.

Answer:

a

 \(E =  14.1 \)

b

In this context  E tell us that the true mean will lie within E = 14.1 of the sample mean

c

  \(n  =57 \)

d

   \( 23.514 < \mu < 49.486\)

Step-by-step explanation:

Considering question a

From the question we are told that

   The upper limit is  U =   47.5 months

    The lower limit is   L = 19.3 months

Generally the margin of error is mathematically represented as

       \(E = \frac{U - L }{2}\)

 =>  \(E = \frac{ 47.5 - 19.3 }{2}\)

 =>  \(E = 14.1 \)

Considering question b

In this context  E tell us that the true mean will lie within E = 14.1 of the sample mean

Considering question c

Generally the sample size is mathematically represented  as

        \(n = [ \frac{ Z_{\frac{\alpha }{2} * \sigma }}{ E} ]^2\)

Here  E is given as  E = 13

Given that the confidence level is  99% then the level of significance is  

      \(\alpha = (100 - 99 )\%\)

=>   \(\alpha = 0.01 \)

From the normal distribution table  the critical value  of  \(\frac{\alpha }{2}\)  is  

      \(Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58\)

So

    \( n = [ \frac{2.58 *  38}{13}]^2\)

=>    \(n =57 \)

Considering question d

From the question

   The sample mean is   \(\= x = 36.5\)

Generally the margin of error is mathematically represented as  

         \(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{n}\)

=>      \(E = 2.58 * \frac{38 }{57}\)

=>      \(E = 12.986 \)    

Generally the 99% confidence interval  for  mean distribution is  mathematically represented as

    \( 36.5 - 12.986 < \mu < 36.5 + 12.986\)

=>     \( 23.514 < \mu < 49.486\)

Answer:

Step-by-step explanation:

wth is college in my recommended anyways here's the answer

your answer is -5

A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point X (0, 4)  →  Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3)  →  Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

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Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer

37

Step by Step explanation

replace x with -7

which gives

-(-7)^2-10(-7)+16

= 37