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Answer:

The margin of error reduces to half of it original size

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

Let assume the standard deviation is  [tex]\sigma = 0.4[/tex]

When sample size is  n  = 25

       [tex]E = 1.96 *  \frac{0.4 }{\sqrt{25} }[/tex]

        [tex]E =0.1568[/tex]

When sample size is  n  = 100

       [tex]E_1 = 1.96 *  \frac{0.4 }{\sqrt{100} }[/tex]

        [tex]E_1 = 0.0784 [/tex]        

So

     [tex]\frac{E_1}{E} = \frac{0.0784}{0.1568} = \frac{1}{2}[/tex]

Hence the margin of error reduces to half of it original size

Answer:

g(3) = -3

Step-by-step explanation:

Step 1: Define

g(x) = -2x + 3

g(3) is x = 3

Step 2: Substitute and Evaluate

g(3) = -2(3) + 3

g(3) = -6 + 3

g(3) = -3

Answer:

g(3) = - 3

Step-by-step explanation:

To evaluate g(3) substitute x = 3 into g(3), that is

g(3) = - 2(3) + 3 = - 6 + 3 = - 3

You need to put a little more information for me to be able to answer this

Answer:

x=3

Step-by-step explanation:

3x+5-2x=8 subtract 5 from both sides

3x-2x=3 subtract 2x from 3x

x=3

Hope this helps!

Answer:

The value is  [tex]P( \= X \ge 99) = 0.69146[/tex]

Step-by-step explanation:

From the question we are told that

    The  mean is  [tex]\mu = 100[/tex]

     The standard deviation is  [tex]\sigma = 10[/tex]

       The  sample size is  n  =  25

The standard deviation of the sampling distribution is  

        [tex]\sigma_{\= x} = \frac{\sigma}{\sqrt{n} }[/tex]

=>      [tex]\sigma_{\= x} = \frac{10}{\sqrt{25} }[/tex]

=>      [tex]\sigma_{\= x} = \frac{10}{5 }[/tex]

=>      [tex]\sigma_{\= x} = 2[/tex]

Generally the probability of randomly sampling and finding a sample mean of 99 or more is mathematically represented as

        [tex]P( \= X \ge 99) = 1 - P(\= X < 99)[/tex]

Here  

       [tex]P(\= X < 99) = P(\frac{\= X - \mu }{\sigma } < \frac{99 - 100 }{2} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>     [tex]P(\= X < 99) = P(Z < -0.5 )[/tex]

From the z table probability of  (Z <  -0.5  ) is  

     [tex]P(Z < -0.5 ) = 0.30854[/tex]

Generally  

      [tex]P( \= X \ge 99) = 1 - 0.30854[/tex]

=>    [tex]P( \= X \ge 99) = 0.69146[/tex]

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

Explanation:

Answer:

9/2

Step-by-step explanation:

Answer:

The answer is

[tex] \huge \frac{9}{2} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{ - 4 - 5}{0 - 2} = \frac{ - 9}{ - 2} = \frac{9}{2} \\ [/tex]

We have the final answer as

[tex] \frac{9}{2} \\ [/tex]

Hope this helps you

The required number line that shows the solution of the given expression is the line that has blue points on numbers x = 4 and x = 6. Option B is correct.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

here,
In the question, 4 number line given with a number of point marked in blue representing the solution of the expression |x - 5| = 1, we have to determine the number which shows the correct solution of the given expression,

so,

Simplifying the given expression,
|x - 5| = 1

Since when we Un-mode the expression implement the ± on the other side.
x - 5 = ± 1

Case 1, taking (+)
x - 5 = 1
x = 6

Cae 2, taking (-),
x - 5 = -1
x = -1 + 5
x = 4

Thus, the required number line that shows the solution of the given expression is the line that has blue points on numbers x = 4 and x = 6.

Learn more about number line here:

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Answer: 18 lilac bushes

Step-by-step explanation:

24/4=6

3x6=18

Answer:

The term used for the same variable raised to the same exponent is called Like terms.

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6.

Given that, What are terms with the same variable raised to the same exponent

Like terms are the terms that contain the same variables raised to the same power, the coefficients need not be the same. For example, 7x and 2x are like terms because both terms contain the same variable "x"

Hence, The term used for the same variable raised to the same exponent is called Like terms.

For more references on exponents, click;

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Answer:

hi

Step-by-step explanation:

Answer:

Given: total of 810 miles

             Judy's miles = x

             Susan's miles = 2x

   Solution:  

Solve for Judy's miles

                            2x + x = 810 miles

                            3x = 810 miles

                            (transpose) x= 810 miles / 3

                            x = 270 (Judy drove 270 miles)

Solve for Susan's miles

                           2x = Susan's miles

                           2(270 miles) = 540 miles

  Answer:  Susan drove for 540 miles

Answer:

Given: total of 810 miles

Judy's miles = x

Susan's miles = 2x

  Answer: Susan drove for 540 miles

Step-by-step explanation:

Solution:  

Solve for Judy's miles

2x + x = 810 miles

3x = 810 miles

 (transpose) x= 810 miles / 3

x = 270 (Judy drove 270 miles)

Solve for Susan's miles

2x = Susan's miles

2(270 miles) = 540 miles

Answer:

Step-by-step explanation:

its a chart in a circle that is usually out of a hundred percent and they divide certain traits into the chart

Answer:

A pie chart is a kind of graph that is in the shape of a circle, it is called a pie chart because its shape, and the percents are in the shapes of pie slices,

Answer:

0.371

Step-by-step explanation:

Given that:

Assembly requires a 4 step process:

Probability distribution of defect :

P(step 1) = 0.1

P(step 2) = 0.2

P(step 3) = 0.08

P(step 4) = 0.05

Firstly, we find the probability that there is no defect in each of the assembly process :

Probability of no defect: = (1 - p(defect))

P(step 1) = 1 - 0.1 = 0.9

P(step 2) = 1 - 0.2 = 0.8

P(step 3) = 1 - 0.08 = 0.92

P(step 4) = 1 - 0.05 = 0.95

Hence,

P(no_defect) = 0.9 * 0.8 * 0.92 * 0.95 = 0.62928

Probability of having a defective component ;

P(defect) = P(no_defect)' = 1 - p(no-defect)

1 - 0.62928 = 0.37072

0.37072

= 0.371

Answer:

b. y = -3x/2 + 2

Step-by-step explanation:

To get 3x + 2y = 4 into slope intercept form:

3x + 2y = 4 (starting equation)

2y = -3x +4 (do the inverse of 3x to get it on the other side)

y = -3x/2 + 2 (divide all of previous equation by 2 to distinguish y)

Answer:

good free points

Step-by-step explanation:

For number 1 is A why it is 0.007

1.207- 1.200= 0.007

Answer:

1. A, 0.007

5. 7 and seventy-five hundredths

Answer:6

i know im a second answer but can i still have a brainliest(:

Answer:

a) 9.6   b)9.56    c)9  

Step-by-step explanation:

Answer:

23x-10

Step-by-step explanation:

Right on Moby Max

Answer:

[tex]\frac{3x}{4} and \frac{y}{4}[/tex]

Step-by-step explanation:

1/4(3x)= 3 divided by 4

=3x/4

1/4(y)= y divided by 4

=y/4

Answer:

ur ugly daddy ;)

Step-by-step explanation:

Answer:

4°F

Step-by-step explanation:

If the temperature fell 36°F in 9 hours, then;

36°F= 9hours

to get the change in temperature in 1 hour, we will say;

x°F = 1 hr

Since we have

36°F= 9hours

x°F = 1 hr

Cross multiply

9x = 1*36

9x = 36

x = 36/9

x = 4°F

Hence the change in temperature each hour is at 4°F

Answer:

slope -1/3 y-intercept (0,4)

Step-by-step explanation:

Answer:

See attached image for the graph

Step-by-step explanation:

Start by finding at least two points on the plane that satisfy the equation, and join them with a line.

Pick good values for "x" that will make the evaluation easy (for example the number "0" and also multiples of "3":

when x = 0  then y = 0/3 - 4 = -4   then the point is (0, -4)

when x = 3 then y = 3/3 -4 = 1 - 4 = -3  then this new point is (3, -3)

when x = 6 then  y = 6/3 - 4 = 2 - 4 = -2  then a third point is (6, -2)

We plot these points on the plane, and join them with a line, s shown in the attached image.

Answer:

2,725

Step-by-step explanation: