Another method of identifying an outlier is to investigate whether there is evidence that a value might have come
from a population with a mean different from the mean of the population of the other values.
Let X and Y represent random variables. X is distributed normally with mean u, and standard deviation o.
and Y is distributed normally with mean u, and standard deviation o. Consider I randomly selected value of Y
and I randomly selected values of X.
-
(b) Consider the difference Y-X.
(i) In terms of μ, and .. what is the mean of the difference Y - X?
(ii) In terms of n and standard deviation . what is the standard deviation of the difference Y - X?

A. The margin of error for a 99% confidence interval is $$2,320.75.

B. The confidence interval for the mean starting salary of college graduates who have taken a statistics course is CI = $42,462.25 to $47,103.75

PART A.

The margin of error (ME) is determined using the formula:

ME= z ∗ σ/√n

where:

z is the z-score for the desired confidence level

σ is the population standard deviation

n is the sample size

For a 99% confidence level, the z-score is 2.576. The population standard deviation is $10,272, and the sample size is 130.

Substituting these values into the formula, we have:

ME =  2.576 ∗ 10272/√130

ME = $2,320.75

PART B

The confidence interval (CI) is determined using the formula:

CI = \(\bar{x}\) ± ME

where:

\(\bar{x}\) is the sample mean

ME is the margin of error

The sample mean is $44,783, and the margin of error is $2,320.75.

Substituting the values into the formula, we get:

CI= 44783 ± 2320.75

CI = $42,462.25 to $47,103.75

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Answer:

250= 1.50x + 20

Step-by-step explanation:

here 250 is the goal. 1.50 is how much she makes for a cup and x is the number of times to get x much. with how much her parents gave is 20. so we add the money her parents give and 1.50 times x to know the money shegets from all the lemonade selling.  graphing the equation but I cant do it on here

God Bless :>

Answer:

a. y = c1.50 + 20

b. She would have to sell 167 cups to earn $250.50

c. im not sure on that sorryyyy

The actual area of Zahra's office is 50ft².

Proportions are used to solve scale problems using the rule of three.

The drawing is scaled from 6 cm to 15 ft, which means that each 6 cm represents 15 ft of real dimensions.

The length in the drawing is 4 cm, so:

Cross multiplication is used:

Her actual office measures are 10 feet long.

The width is 2 cm, so:

Cross multiplication is used:

Her actual office measures are 5 feet wide.

Formula of area: l × b

Therefore, the actual area of Zahra's office is 50ft².

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Answer:

a) Upper Control Limit = 0.10

   Lower Control Limit = 0.01

b) The tech assistance process is stable and in control.

Step-by-step explanation:

Given - After a number of complaints about its tech assistance, a

            computer manufacturer examined samples of calls to determine

            the frequency of wrong advice given to callers. Each sample

            consisted of 100 calls.

SAMPLE             1   2   3   4   5   6   7   8   9  10 11 12 13 14 15 16

Number of errors 5  3   5   7   4   6   8   4   5    9   3   4   5   6   6   7

To find - a. Determine 95 percent limits.

              b. Is the tech assistance process stable (i.e., in control)

Proof -

z = 95% confidence interval

  = 1.96

⇒z = 1.96

Proportion of defects,P = total defectives/total observations

                                     = 0.0544

⇒P = 0.0544

Now,

Q = 1-P

   = 0.9456

⇒Q = 0.9456

Now,

Average sample size, N = 100

Standard deviation = \(\sqrt{\frac{P.Q}{N} }\)

                             = 0.0227

Now,

Upper Control Limit = P + z(Standard deviation)

        = 0.0988

⇒Upper Control Limit = 0.0988 ≈ 0.10

And

Lower Control Limit = P - z(Standard deviation )

       = 0.0099

⇒Lower Control Limit = 0.0099 ≈ 0.01

∴ we get

Upper Control Limit = 0.10

Lower Control Limit = 0.01

b.)

Now,

it is clear that the fraction defective values are wit in upper an lower control limits.

So, The tech assistance process is stable and in control.

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

Option D is the correct answer.

We have,

We need to isolate the absolute value |x + 2| on one side of the inequality.

We subtract 7 from both sides.

|x + 2| > 3

Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:

x + 2 > 3

or

- (x + 2) > 3

Solving for x in the first inequality.

x > 1

Solving for x in the second inequality.

-x - 2 > 3

Adding 2 to both sides and multiplying by -1.

x < -5

So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.

Using interval notation.

(-∞, -5) U (1, ∞)

Thus,

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

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The value of u is 2 in the given right-angled triangle.

The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as \(\sqrt{2}\) and v.

We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.

It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In a right-angled triangle ABC, if

BC = hypotenuse

AC and AB are the other two sides then,

\(BC^2 = AC^2 + AB^2\).

For this problem, we can find the value of u by using trigonometric identities.

From the figure, we have an angle of 45°.

Consider Cos 45°.

Cos Ф = base / hypotenuse

Cos 45° = \(\sqrt{2}\) / u ...........(1)

From trigonometric identities of cosine.

We have,

Cos 45° = 1 / \(\sqrt{2}\)............(2)

From (1) and (2)

We get,

1 / \(\sqrt{2}\) = \(\sqrt{2}\) / u

u = 2.

Thus the value of u is 2 in the given right-angled triangle.

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Answer:

step by step

Step-by-step explanation:

here

h  t  t  p  s   :  /  /  w  w  w  .  y  o  u  t  u  b  e  .  c   o   m   /   w   a   t   c   h   ?   v   =   B   T  9   h   5  i   f   R   1   t  Y

Answer:

a number that is divisible by 10 is also divisible by 5 because 5 is a factor of 10.

Step-by-step explanation:

Given : Statement  'The relationship between numbers divisible by 5 and 10'.

To find : What statement BEST explains the statement?

Solution :

First we study the divisibility rules,

Rule for the number divisible by 5 is that number must end in 5 or 0.

Rule for the number divisible by 10 is that number need to be even and divisible by 5, as the prime factors of 10 are 5 and 2 and the number to be divisible by 10, the last digit must be a 0.

According to the divisibility rules Option D is correct.

Therefore, The correct statement explains the relationship between numbers divisible by 5 and 10 is a number that is divisible by 10 is also divisible by 5 because 5 is a factor of 10.

The number that is equal to four and five sixths is A. four and eighty three hundredths with the three repeating

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The number that is equal to 4 5/6 will be illustrated thus:

= 4 5/6

= 4 + 0.8333.

= 4.8333

In this vase, the 3 is repeating. Therefore, the correct option is A.

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Answer:

x = -3

Step-by-step explanation:

4x - 8 = -4 (11 + 2x) (distribute the -4 to the numbers in the parenthesis)

4x - 8 = -44 + -8x (add 8x on both sides)

12x - 8 = -44 (add 8 on both sides)

12x = -36 (divide both sides by 12)

x = -3

Hope this helps ya!!

Answer:

\((x^2+7)(x^2-5)\)

Answer:

$886.47

Step-by-step explanation:

Check the picture below.

\(\tan(48.8^o )=\cfrac{\stackrel{opposite}{1.6}}{\underset{adjacent}{b}} \implies b=\cfrac{1.6}{\tan(48.8^o)}\implies b\approx 1.4 \\\\[-0.35em] ~\dotfill\\\\ \sin(48.8^o )=\cfrac{\stackrel{opposite}{1.6}}{\underset{hypotenuse}{c}} \implies c=\cfrac{1.6}{\sin(48.8^o)}\implies c\approx 2.1\)

Make sure your calculator is in Degree mode.

The ratio shows how many times one value is contained in another value.

The number of top dogs is 192.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of top dogs to fat cats was 24 to 19.

if they were 152 fat cats.

This means,

Number of top dogs = 24x

Number of fat cats = 19x

Now,

Number of fat cats = 152

This means,

152 = 19x

x = 8

Now,

Number of top dogs = 24x

= 24x

= 24 x 8

= 192

Thus,

The number of top dogs is 192.

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Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.

These questions typically ask about a population or group of individuals and are often related to trends or patterns.

Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.

To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.

This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.

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Answer:

I think HCF of 32 and 24=8

Answer:

sorry i can't help

Step-by-step explanation:

Answer: 11

Step-by-step explanation: 7 plus 11 equals 18

Answer:

x = 14

Step-by-step explanation:

3(x + 1) = 45

3*x + 3*1 = 45    {Distributive property used: a*(b+c) =(a*b) +(a*c)}

3x + 3    = 45

   Subtract 3 from both sides

         3x = 45 - 3

         3x = 42    

Divide both sides by 3

          x  = 42/3

               \(\sf \boxed{\bf x = 14}\)

Answer:

25

Step-by-step explanation:

considering that the coin can either land on heads or tails, the probability of each of those situations is 50%. Now multiply: 50 (the number flips) * 0.5 (probability of tails)= 25

Answer:

First question is 810

Second question is 6,064

Third question is 51,841

Fourth question is 764

Fifth question is n x 7

Sixth question is 3/4 equals 1/4 + 1/4 + 1/4

Seventh question is 1/7 + 1/7 + 1/7 + 1/7 + 1/7

Step-by-step explanation:

Answer:

900/90=10

2486+3578=6064

823*63=51849

3820/5=764

4=28

15=105

3/4=1/4+1/4+1/4

5/7= 1/7+1/7+1/7+1/7+1/7

Answer:

Where is the question or is that it?

1.Use the numbers in the table to create

Ordered pairs

2.Pounds are graphed on the x - axis

3.Plot the ordered pairs on the graph

4.Draw a straight line that starts at the origin and connects all the points

The area of the given figures is 1) 4 sq. units; 2) 16 sq units; 3) 6 sq units.

Define area and perimeter.

The distance around a closed figure is its perimeter, while the area is the portion of the surface that it occupies. The size of a plane or the space it encloses is expressed in square meters.

1. In this figure, the longest side has 4 units and the smallest one has 1 unit.

   Area of the rectangular figure(A) = 4 * 1 = 4 sq units

   Perimeter(P) = 4 + 1 + 4 + 1 = 10 units.

2. In this figure, the longest side has 4 units and the smallest one has 4 units.

   Area of the rectangular figure(A) = 4 * 4 = 16 sq units

   Perimeter(P) = 4 + 4 + 4 + 4 = 16 units.

3. In this figure, the longest side has 4 units, 3 units, then 2 units the smallest one has 1 unit.

   Area of the rectangular figures combinely (A) = 4 * 1 + 2 * 1= 6 sq units

   Perimeter(P) = 4 + 3 + 2 + 2 + 1 = 12 units.

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Answer: ∞

Step-by-step explanation: First, find the indefinite integral F (x), and then evaluate F (∞)–F(– ∞).

Answer:

a

 \(P(r n L) =  0.12\)  

b

 \(P(L) = 0.225\)

c

  \(P(\= r | L) = 0.4667 \)

Step-by-step explanation:

The chance that it will rain is  \(P(r ) = 0.30 \)

 The chance that it does not rain is \(P(\= r ) = 1 - P(r )  \)

                                                             \(P(\= r ) = 1 -0.30  \)

                                                              \(P(\= r ) = 0.70  \)

The probability that the bus run late if it rains is  \(P(L | r) = 0.4\)

 The probability that the bus run late if it does not rain is   \(P(L | \= r) = 0.15\)

  Generally the probability that it will rain and the bus will be late is mathematically represented as

     \(P(r n L) = P(L | r) * P(r)\)

=>  \(P(r n L) = 0.4 * 0.30\)

=>  \(P(r n L) = 0.12\)  

Generally the probability that the bus will be late is mathematically represented as

     \(P(L) = P(r) * P(L|r) + P(L | \= r) * P(\= r)\)

=>  \(P(L) = 0.30 * 0.4 +0.15*0.70\)

 =>  \(P(L) = 0.225\)

Generally given that the bus ran late,  the probability that the bus it was not raining is mathematically represented as

      \(P(\= r | L) = 1- P(r | L )\)

Here  \(P(r | L ) = \frac{P(r n L)}{P(L)}\)

=>   \(P(r | L ) = \frac{0.12}{0.225}\)

=>   \(P(r | L ) = 0.533 \)

So

      \(P(\= r | L) =  1- 0.533\)

   =>   \(P(\= r | L) =  0.467 \)

Answer:

\(C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83\)

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be \(180-90-65=25^{\circ}\).

In any triangle, the Law of Sines is given by \(\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\).

Therefore, we have:

\(\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}\)

\(\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}\)

Answer:

the area of the shape is 48m

Step-by-step explanation:

10*4=40

2*4=8

40+8=48

brake it up into two triangles. one is a triangle that is 10m tall and 8m wide at the top. you can solve that by doing 4*10=40. the other triangle is 4m wide at the bottom and 2m tall. you can solve that by doing 2*4=8. and 40+8=48.

The original value is 35, and the new value is 70.

To find the percentage of change, we use the formula:

percentage change = ((new value - original value) / original value) * 100

Substituting the given values, we get:

percentage change = ((70 - 35) / 35) * 100

percentage change = 100%

Therefore, the percentage of change is 100% and it represents an increase.

Answer:

2 more plants did

Step-by-step explanation:

9, 12, 11, 8, 7, 9, 12, 12, 9, 11, 8, 9

9,8,7,9,9,8,9 Are the plants that are less then ten inches and there are 7

of them

12,11,12,12,11 Are the plants that are more than 10 inches tall and there are five.

2 more grew less than ten inches than they did 5 inches.