Determine the point estimate of the population mean and margin of error for the confidence interval with lower bound 26 and upper bound 38.

Answers

Answer 1

Answer

The point estimate of the mean is [tex]\= x = 32[/tex]

The margin of error is  [tex]E =6[/tex]

Explanation

From the question we are told that

    The lower bound of the interval is  [tex]a = 26[/tex]

     The upper bound of the interval  is  [tex]b = 38[/tex]

Generally the point estimate of the population mean is mathematically represented as

            [tex]\= x = \frac{a +b}{2}[/tex]

=>          [tex]\= x = \frac{26 +38}{2}[/tex]

=>          [tex]\= x = 32[/tex]

Generally the margin of error is mathematically represented as

             [tex]E = \frac{ b- a}{2}[/tex]

=>         [tex]E = \frac{ 38- 26}{2}[/tex]

=>         [tex]E =6[/tex]


Related Questions

Divide: StartFraction 5 Over 8 EndFraction divided by three-fourths One-eighth StartFraction 5 Over 6 EndFraction Three-fourths 1 and one-half

Answers

Answer:

the answer is 5 over 6

Step-by-step explanation:

well, you Start the Fraction with 5 Over 8 and End the Fraction divide by three-fourths One-eighth Start the next Fraction 5 Over 6 and End the Fraction Three-fourths 1 and one-half and the answer is 5/6

Im only have 10 minutes please. Is math​

Answers

Answer: A
Explanation do Pythagorean theorem and find the third side. Then do adjacent/hypotenuse.
Darling, it’s A. Have noice night/ day

Find the opposite of each integer 0

Answers

Answer:

Thats not a full question.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

3) A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then

find AB

Answers

Answer:

AB = 8

Step-by-step explanation:

A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then find AB

Step 1

Find x

BC = AB + AC

8x + 5 = 2x + 4 + 3x + 7

Collect like terms

8x - 2x - 3x = +4 + 7 - 5

3x = 6

x = 2

Step 2

Find AB

= AB= 2x + 4

AB = 2(2) + 4

AB = 4 + 4

AB = 8

I need help asparagus is it a b c d please help me

Answers

Answer:

A

Step-by-step explanation:

Answer is C
6 + (3 - 5x) = 6 + 3 - 5x = 9 - 5x

There are 5,000 sheets of paper in 25 boxes. if each
box contains the same number of sheets of paper, how many sheets of paper are in each box?​

Answers

Answer:

200 sheets

Step-by-step explanation:

Divide 5,000 by 25 to get 200 sheets of paper per box.

Answer:

750 pieces of paper

Step-by-step explanation:

can't

-2x + 4>8 which number line shows the solution to the inequality

Answers

Answer:

The answer is D since it equals

x < -2

Answer:

Dw I gotchu. It's D because it' the most reasonable for this problem.

A scientist is studying the effects of cell phone use on headache rate. She identifies 30 people who use cell phones and 30 who do not. Each of the 60 people is given a questionnaire designed to determine headache frequency. None of the 60 people who participated in the study knew they were part of a study. Which statement is true?

Answers

Answer:

C this is a double blind study.

Step-by-step explanation:

Both groups in the experiment are blind (don't know they are in an experiment). If this answer is incorrect then its A.

Answer:

observational study

Step-by-step explanation:
the experimenters are not blind to their own tests.

1.5.3

6x+7

To solve for the lengths of the right triangle sides, which equation is correct?

A. x² = (4x - 1)² + (6x + 7)?

B. x2 +(6x + 7)2 = (4x - 1)2

c. x² = (4x - 1)² – (6x + 772

D.x² + (4x - 1)2 = (6x + 7)?

4x-1

To solve for the lengths of the right triangle sides, equation is correct.

(Type A, B, C, or D.)

Answers

Answer:

A. [tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

Step-by-step explanation:

The question seems to be incomplete. However, we'll make the following assumption.

[tex]Opposite = 6x + 7[/tex]

[tex]Adjacent = 4x - 1[/tex]

[tex]Hypothenuse = x[/tex]

Pythagoras theorem states that:

[tex]Hypothenuse^2 = Opposite^2 + Adjacent^2[/tex]

Substitute values for Hypothenuse, Opposite and Adjacent.

This gives

[tex]x^2 = (6x + 7)^2 + (4x - 1)^2[/tex]

or

[tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

From the list of given options.

A answers the question

In △BCD, H is the centroid. If HF=6 find BF.

Answers

Answer:

18

Step-by-step explanation:

The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex

So HF=⅓BF

So BF=3xHF=3x6=18

At a lightbulb manufacturing plant, 2% of the lightbulbs are found defective. If the plant had 56 defective lightbulbs on a certain day, how many did it manufacture that day?

Answers

Answer:

2800 lightbulbs

Step-by-step explanation:

Divide 56 by 2% to cancel out the multiplication used to find the amount of defective lightbulbs.

Draw a number line model to determine -16 + -0.7

Answers

Answer:

the answer is -16.7

Step-by-step explanation:

i did the math 16 + .7 =-6.7  answer -16.7

∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.

Answers

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

What is the slope through
the points (1,-2) and (2,-2)?

Answers

Answer: 0

Step-by-step explanation:

The answer is zero.

Change 5 - 2 into an addition problem using a change in sign and the additive inverse.

(Step 1: change the minus sign to a plus sign. Step 2: change the second number in the

problem to its opposite (additive inverse].)

Answers

9514 1404 393

Answer:

  5 + (-2)

Step-by-step explanation:

starting with: 5 - 2

step 1: 5 + ( )

step 2: 5 + (-2)

Consider the triangle.

The measures of the angles of the triangle are 32°, 53°, 95°. Based on the side lengths, what are the measures of each angle?


A)mAngleA = 95°, mAngleB = 53°, mAngleC = 32°

B)mAngleA = 32°, mAngleB = 53°, mAngleC = 95°

C)mAngleA = 43°, mAngleB = 32°, mAngleC = 95°

D)mAngleA = 53°, mAngleB = 95°, mAngleC = 32°

(Make sure to explain how you solved this problem and include things to remember when measuring angles like this. Thank you!)

Answers

Answer:

b

Step-by-step explanation:

edge 2020

PLEASEEEEEEEEEE ANSWER QUICK WILL GIVE BRAINLIST

Answers

Answer:

102

Step-by-step explanation:

1.2*85=102

Answer:

Step-by-step explanation:

A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas

B. If you are using the 102 pizzas:

65/102= 63.73% of the 102 pizzas so a decrease.

If  you are going by the 85 pizzas:

65/85= 74.47% decrease from original 65 pizza

!!HELP!! What is the rule for finding the distance of a point when the points are in the different Quadrants?

Answers

Answer:

You can find the distance between two points in different quadrants having the same x-coordinates by finding the sum of the absolute values of the y-coordinates.

Step-by-step explanation:

what is the difference of (5,-4) (3,-11)

Answers

The correct answer is (-2,-7)

Answer:

-8

Step-by-step explanation:

Which expression would be easier to simplify if you used the associative property to change the grouping?

A. 85 + (120 + 80)

B. [-40 + (60)] + 52

C. (2 + 3/7) + 4/7

D. 4 + (1.2 + (-0.2))

Answers

Answer:

C

Step-by-step explanation:

In A and B, the numbers involved in expressions are integers.

Hence, they can be easily added or subtracted.

In C, the numbers involved in expression are fractions which are not grouped together.

They can be added but by using associative property, it becomes much more easier.

That is, grouping fractions.

Answer:C

Step-by-step explanation:

Gabriella invested $73,000 in an account paying an interest rate of 3%
compounded continuously. Mila invested $73,000 in an account paying an interest
rate of 3% compounded quarterly. After 5 years, how much more money would
Gabriella have in her account than Mila, to the nearest dollar?

Answers

Answer:

Gabriella will make $61 more than Mila after 5 years

Step-by-step explanation:

Gabriella Data

Principal Amount P= $73,000

Rate r = 3% or 0.03

Compounded continuously

Time t = 5 years

The formula used is: [tex]A=Pe^{rt}[/tex]

Putting values and finding A

[tex]A=Pe^{rt}\\A=73000e^{0.03*5}\\A=73000e^{015}\\A=84813.899\\A\approx84814[/tex]

So, After 5 years Gabriella will have $84814

Mila Data:

Principal Amount P= $73,000

Rate r = 3% or 0.03

Compounded quarterly n = 4

Time t = 5 years

The formula used is:[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=73000(1+\frac{0.03}{4})^{4*5}\\A= 73000(1+0.0075)^{20}\\A= 73000(1.0075)^{20}\\A=73000(1.161)\\A=84753[/tex]

So, After 5 years Mila will have $84753

Now subtracting to find the difference 84814-84753 = 61

So, Gabriella will make $61 more than Mila after 5 years

In a graph the constant of proportionality is the y=____when x= ____

Answers

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Hurry i need help!!!!!

Answers

Answer:

Sorry i would help but the paper is unclear

Step-by-step explanation:

Are 9.91 and 9.0 equivalent decimals?

Answers

No they are not, 9.91 > 9.0

Answer:

no

Step-by-step explanation:

there is a difference between these two integers as 9.91 is 0.01 more then 9.0,

they are therefor not equivalent

Archaeologists are studying a shipwreck on the

ocean floor. The wreck site is roughly shaped like a

parallelogram. The archaeologists make a map of the

site in the coordinate plane. Each unit on the map

represents 1 m. According to the map, what is the

area of the wreck site?

Answers

Apologies, but there is no map...?

The area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.

What is parallelogram?

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Archaeologists are studying a shipwreck on the ocean floor. The wreck site is roughly shaped like a parallelogram.

From the table:

The vertex of the P is (9, 2)

The vertex of the Q is (-8, 2)

The vertex of the R is (-7, 7)

The vertex of the S is unknown

From the distance formula we can find the distance between points P and Q:

The distance formula can be defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\rm PQ = \sqrt{(-8-(-9))^2+(2-2)^2}[/tex]

PQ = 17 units

[tex]\rm QR = \sqrt{(-7-(-8))^2+(7-2)^2}[/tex]

QR = 5.09 ≈ 5 units

The area of the wreck site = 17x5

The area of the wreck site = 85 square m

Thus, the area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.

Learn more about the parallelogram here:

brainly.com/question/1563728

#SPJ2

Can anyone help me out? I need the answer and can you explain it! I’ll make brainlist thanks!

Answers

Answer:

3) Equation of line is: 5x-8y+34=0

4) Equation of line is: 5x+y+5=0

Step-by-step explanation:

3) Equation of line parallel to [tex]5x-8y+12=0[/tex] and through point (-2,3)

When two lines are parallel they have same slope.

Converting the given equation [tex]5x-8y+12=0[/tex] to Slope intercept form i.e [tex]y=mx+b[/tex]

[tex]5x-8y+12=0\\-8y=-5x-12\\y=-\frac{5x}{-8}-\frac{12}{-8}\\y= \frac{5x}{8}+\frac{3}{2}[/tex]

Now comparing with [tex]y=mx+b[/tex] we get value of m i.e 5/8 which is slope of line.

Now, finding y-intercept using point (-2,3) and slope 5/8

[tex]y=mx+b\\3=\frac{5}{8}(-2)+b\\3=-\frac{5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}[/tex]

So, y-intercept is b= 17/4

The required equation is:

[tex]y=mx+b\\y=\frac{5x}{8}+\frac{17}{4}[/tex]

Writing in Standard form

[tex]y=\frac{5x}{8}+\frac{17}{4}\\y=\frac{5x+17*2}{8} \\y=\frac{5x+34}{8} \\8y=5x+34\\5x-8y+34=0[/tex]

So, Equation of line is: 5x-8y+34=0

4) Equation of line perpendicular to [tex]x-5y+2=0[/tex] and through point (-2,5)

When two lines are perpendicular they have opposite slope i.e m=-1/m.

Converting the given equation [tex]x-5y+2=0[/tex]  to Slope intercept form i.e [tex]y=mx+b[/tex]

[tex]x-5y+2=0\\-5y=-x-2\\y=-\frac{x}{-5}-\frac{2}{-5}\\y= \frac{x}{5}+\frac{2}{5}[/tex]

Now comparing with [tex]y=mx+b[/tex] we get value of m i.e 1/5 which is slope of given line.

Slope of required line will be: m=-1/m = -5

Now, finding y-intercept using point (-2,5) and slope -5

[tex]y=mx+b\\5=-5(-2)+b\\5=10+b\\b=5-10\\b=-5[/tex]

So, y-intercept is b= -5

The required equation is:

[tex]y=mx+b\\y=-5x-5[/tex]

Writing in Standard form

[tex]y=-5x-5\\5x+y+5=0[/tex]

So, Equation of line is: 5x+y+5=0

If X is a normally distributed random variable with mean .30 and standard deviation .06 : (draw appropriate diagrams) a) Find P(X > .25) b) P(X < .10) c) How would you describe the largest 5% of all values of X?

Answers

Answer:

0.34  x 0.38

=0.1292

Step-by-step explanation:

Hopefully this helps, if not HMU and I will try my best to get you a better answer! :)

Good luck! <3

Translate this equation into a verbal sentence.
4(a + b) = 9a

Answers

Answer:

Four times a plus b equals nine times a

find the factor 12n-18

Answers

Answer:

Hope this helps!!!

Step-by-step explanation:

6(2−3)

Answer:

6(2n - 3)

Step-by-step explanation:

PLs, help me - an international company has 18,700 employees in one country. If this represents 32.8% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.


Answers

Answer:

33.6% of X = 26800

 

X = 26800 / 33.6%  

 

   = 26800 / 0.336

 

  = 79762

 

Note the answer is rounded

Step-by-step explanation:

33.6% of X = 26800

 

X = 26800 / 33.6%  

 

   = 26800 / 0.336

 

  = 79762

 

Note the answer is rounded

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