From a sample of 45 students exam scores, it was found that there was a mean score was 75 and a standard deviation of 5. Assume the distribution of exam scores is normal.

construct and interpret a 95% confidence interval for the true mean score.

Answers

Answer 1

Answer:

The 95% confidence interval for the true mean score is [tex][73.539,76.461][/tex]

Step-by-step explanation:

Note that [tex]CI=\bar x\pm z\frac{s}{\sqrt{n}}[/tex] where [tex]\bar x[/tex] is the sample mean, [tex]z[/tex] is the upper critical value for the desired confidence level, [tex]s[/tex] is the sample standard deviation, and [tex]n[/tex] is the sample size.

Therefore, [tex]CI=75\pm 1.96\frac{5}{\sqrt{45}}\approx[73.539,76.461][/tex]


Related Questions

finding the missing number 2 4 6 __ 10 12​

Answers

Answer:

8 because the pattern goes up by 2 each time

Answer:

8

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAINLIST
What is the polynomial function in standard form with zeros -10,0,2?
a) x^3 + 8x^2 + 20x
b) x^3 + 8x^2 - 20x
c) x^2 +8x -20
d) x^2 + 8x + 20​

Answers

Answer:

x³ - 8x² - 20x

Step-by-step explanation:

Zeroes: 10, 0, -2

Factors are: (x - 10), (x - 0), (x + 2)

Multiply all factors to get expression:

(x - 10)x(x + 2) = x(x - 10)(x + 2)

= x(x² - 10x + 2x - 20)

= x(x² - 8x - 20)

= x³ - 8x² - 20x

A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?

Answers

Answer:

A ball is thrown vertically upward with a speed of 25.0 m/s

Graph (y=-2x+5)

Plz have it answered in 5 min.
It is on Khan Academy

Answers

Answer:

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Step-by-step explanation:

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PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 3

Answers

Problem 1

Answer: Choice A

[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]

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

Explanation:

The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.

a = first term = 59,000 = starting salaryr = common ratio = 1.08 = tells us how the salary increases year to year

The 1.08 represents an increase of 8% because,

1.08 = 1 + 0.08 = 100% + 8% = 108%

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

Problem 2

Answer: Choice C

[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]

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

Explanation:

The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.

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

Problem 3

Answer: Choice C

30 feet; major axis

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

Explanation:

Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.

Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.

What are the roots of the equation x^2+18x+90=0x
2
+18x+90=0 in simplest a+bia+bi form?

Answers

[tex]x^2 +18x +90 = 0\\\\\text{Apply quadratic formula,}~~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a} \\\\\text{In this case, a = 1 , b = 18 and c = 90.}\\\\\implies x = \dfrac{-18 \pm \sqrt{18^2 - 4 \cdot 1 \cdot 90}}{2(1)}\\\\\implies x = \dfrac{-18 \pm \sqrt{-36}}2\\\\\implies x = \dfrac{-18 \pm 6i}2\\\\\implies x= -\dfrac{18}2 \pm \dfrac{6i}2\\\\\implies x= -9 \pm 3i[/tex]

Travel back in time to the year 2008, when text messages were charged per text. Some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that. Today, most packages include unlimited text and data but cost closer to $100 a month.

Answers

In 2008, up to 405 messages could be sent without spending more than $ 100.

Since in 2008, text messages were charged per text, and some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that, while today, most packages include unlimited text and data but cost closer to $ 100 a month, to determine the range of text messages you can send with the 2008 plan without spending more than $100, the following calculation must be performed:

(41 / 0.2) + 200 = X 205 + 200 = X 405 = X

Thus, in 2008, up to 405 messages could be sent without spending more than $ 100.

Learn more about maths in https://brainly.com/question/25908673

This is Comparing Quantities

3 days to 40 hours
pls help me ​

Answers

Answer:

1 days= 24 hrs

3 days = 3×1 days

= 3×24 hrs

= 72 hrs

Help help help help help help help MATH MATH

Answers

Answer:

60

Step-by-step explanation:

HELP ME OUT PLEASE!!!

What is the equation of this line?​

Answers

Answer: THe Second answer is the correct one

Step-by-step explanation:

Answer:

y = 3x-2

Step-by-step explanation:

Expand ; 3(1-x/2)^2​

Answers

Answer:

[tex]3 {( \frac{1 - x}{2}) }^{2} = 3 \times {(1 - x)}^{2} \div {2}^{2} \\ =3 \times (1 - 2 \times 1 \times x + {x}^{2}) \div 4 \\ = 3 \times (1 - 2x + {x}^{2} ) \div 4 \\ = \frac{3}{4} (1 - 2x + {x}^{2})[/tex]

[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]

100 drops of water weigh 9 grams so how many tons do 100 million drops of water weigh

Answers

Answer:

100 drops of water weigh about 9 grams. So how many tons do 100 million drops of water weigh?

Step-by-step explanation:

please mark my answer in brainlist plz

100 drops = 9 grams
100 million is 100 x million
so 9 x million is 9 million

For the expression:
(9x^2 + 4y^2 -12xy) / (4y^2 - 9x^2)

Find the domain

Answers

Answer:

Interval Notation (-∞, ∞)

Set-Builder Notation: {x|x ∈ R} (all real numbers = R)

Step-by-step explanation:

I plugged this into a graphing calculator and was able to find the domains by looking at where the lines stopped (they didn't stop) and wrote the f(x) based off of it

Do it on a piece of paper and put it in the answer box ASAP

Answers

Just do it as a reference cause you’ll never learn if you use Brainly especially on tests I learned that the hard way trust me

Step-by-step explanation:

absolutely. there is no mathematical problem to solve.

just do what the instructions tell you.

that is an exercise for you to get a feeling what is what.

solve for g. bf-5k=c(g+2k)

Answers

Answer:

hope it helps.

stay safe healthy and happy.

Answer:

In bold below.

Step-by-step explanation:

bf-5k=c(g+2k)

g + 2k = (bf - 5k)/c

g =  (bf - 5k)/c - 2k

Huilans age is two times Thomas’s age. The sum of their ages is 42. What is Thomas’s age?

Answers

Answer:

14

Step-by-step explanation:

14+28=42, 28/14=2

14 ,, 42/3 !! this is the correct way !

If y ∝ 1∕x and y = –2 when x = 14, find the equation that connects x and y.

A) y = –28x
B) y = –7x
C) y = –28∕x
D) y = –7∕x

Answers

Answer:

C

Step-by-step explanation:

Given y ∝ [tex]\frac{1}{x}[/tex] then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 2 when x = 14 , then

- 2 = [tex]\frac{k}{14}[/tex] ( multiply both sides by 14 )

- 28 = k

y = - [tex]\frac{28}{x}[/tex] ← equation of variation

Please help. Due in 30 mins!!

Answers

1: 1.645

2. 1.28

4: 95% confidence level (12.93, 13.87)

3: No Idea

5: sorry im a bit rusty

Im so sorry for not answering all you questions

What three fractions are greater then 1/2 but less then 1

Answers

Answer:

5/8

6/7

2/3

Step-by-step explanation:

what’s the domain and range of this graph ? PLEASE HELP URGENT

Answers

Step-by-step explanation:

Domain -5 range 5 ,...............

Ms.Thomas ordered 5 pencil packs, n notebooks, and 5 sets of makers. Write an algebraic expression that represents the cost of Ms.Thomas’s order

Answers

5(1.50)+5(2.50)+2n
or
7.5+12.5+2n
20+2n= Cost


If a square has an area of 49 ft', what is the length of one of its sides? The perimeter?

Answers

Answer: 12.25 ( each side )

Step-by-step explanation

Divide 49 by 4, which is 12.25

Calvin and Sanjay are each thinking of a number. If you multiply Sanjay’s number by 3 and subtract
2, you get Calvin’s number. If you take half of Calvin’s number and then subtract 2, you get Sanjay’s
number. What number is each thinking of?

Answers

Answer:

Calvin's number: 16 Sanjay's number: 6

Step-by-step explanation:

6 x 3 = 18, 18 - 2 = 16

16 / 2 = 8, 8 - 2 = 6

If y = 6, what is the value of x given 8x + 5y = 62?
Answer:

Answers

Answer:

2sqearhahah joke bye hahah

the answer: y = 6 ⇔ x = 4

ok done. Thank to me :>

(4.03 MC) the table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal / number of cup of raisins
8 4
10 5
12 6

Answers

8 : 2  

8+ 4 = 12    2 + 1 = 3

12 : 3

12 + 4 = 16   3 + 1 = 4

16 : 4

16 + 4 = 20   4 + 1 = 5

20 : 5

20 + 4 = 24   5 + 1 = 6

24 : 6

24 + 4 = 28   6 + 1 = 7

28 : 7

28 + 4 = 32   7 + 1 = 8

32 : 8

32 + 4 = 36   8 + 1 = 9

36 : 9

36 + 4 = 40   9 + 1 = 10

40 : 10

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

Answer: If the number of cups of cereal is 40, then the number of cups of raisins will be 10.

Have a great day/night! :D

In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3x to obtain the graph of f(x) = 3-x + 1 - 5.

Answers

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Step-by-step explanation:

Guys help me on this one please…

Answers

Answer: 6. 35 hours

7. 741 Miles

8. 1.5 or 1.54

Step-by-step explanation:

6. 142.20/6=23.7

829.50/23.7=35

7. 117/3=39

39x19=741

8.19/12.35=1.538

45% of the people in the stadium are men, 23% of them are woman and the rest are children. What fraction of the people are children?​

Answers

Answer:

8/25 of the people in the stadium are children.

Step-by-step explanation:

45 + 23 = 68

100 - 68 = 32%

32/100 simplified is 8/25

Someone help me click this solve it using < or >

Answers

Answer:

<

<

>

Step-by-step explanation:

To compare fractions, we need to make sure that both fractions have the same denominator. For example, for question 4, the least common multiple of 5 and 3 is 15, so we need to multiply both fractions by some numbers to get the denominators equal to 15. In this case, we will multiply the first fraction, [tex]\frac{3}{5}[/tex] by 3 to get [tex]\frac{9}{15}[/tex] and the second fraction, [tex]\frac{3}{3}[/tex] by 5 to get [tex]\frac{15}{15}[/tex].

Once we have the same denominator, we can simply compare the value of the numerators and see which one is larger. For question 4, since 9 is smaller than 15, the first fraction is smaller than the second. So the correct inequality to represent this would be "<".

To do these sums, we have to first convert them to like fractions.

For the first one:

LCM of denominators 5 and 3 is 15.[tex] \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} [/tex][tex] \frac{3}{3} = \frac{3 \times 5}{3 \times 5} = \frac{15}{15} [/tex]Since,[tex] \frac{9}{15} < \frac{15}{15} [/tex]Therefore,[tex] \frac{3}{5} < \frac{3}{3} [/tex]

For the second sum:

LCM of denominators 6 and 8 is 24.[tex] \frac{4}{6} = \frac{4 \times 4}{6 \times 4} = \frac{16}{24} [/tex][tex] \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} [/tex]Since[tex] \frac{16}{24} < \frac{21}{24} [/tex]Therefore,[tex] \frac{4}{6} < \frac{7}{8} [/tex]

For the third one:

LCM of denominators 10 and 5 is 10.[tex] \frac{6}{10} = \frac{6 \times 1}{10 \times 1} = \frac{6}{10} [/tex][tex] \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} [/tex]Since,[tex] \frac{6}{10} > \frac{4}{10} [/tex]Therefore,[tex] \frac{6}{10} > \frac{2}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

HELP!!!
graph and label the following real numbers on the number line:

Answers

Answer:i dont know yet

Step-by-step explanation:

I don’t know bug good luck
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