Suppose Apple claims that the average wait time for a customer calling the Apple Care support line is 175 sec-onds. A random sample of 40 customers had an average wait time of 187 seconds. Assume the population standard deviation for wait time is 50 seconds. Using a 95% confidence interval, does this sample support Apple?

Answer:

The length of a 95% confidence interval for mean Age is 3.72.

Step-by-step explanation:

The data is provided for the age of 100 adults.

The mean and standard deviation are:

[tex]\bar x=47.8\\\\s=9.3744[/tex]

As the sample size is too large the z-interval will be used for the 95% confidence interval for mean.

The critical value of z for 95% confidence level is, z = 1.96.

The length of a confidence interval is given by:

[tex]\text{Length}=2\cdot z_{\alpha/2}\cdot\frac{s}{\sqrt{n}}[/tex]

           [tex]=2\times 1.96\times\frac{9.3744}{\sqrt{100}}\\\\=3.6747648\\\\\approx 3.67\\\\\approx 3.72[/tex]

Thus, the length of a 95% confidence interval for mean Age is 3.72.

Answer:

3/10 gallons

Step-by-step explanation:

We know that the recipe for 1 serving calls for 3/5 gallons of milk.

We want to know what 1/2 a serving calls for. Let's set up a proportion:

(1/2) / 1 = x / (3/5) , where x is the amount of milk needed for 1/2 the recipe

Cross-multiply:

x * 1 = (1/2) * (3/5)

x = 3/10

The answer is thus 3/10 gallons.

~ an aesthetics lover

Answer:

3/10 gallon of milk

Step-by-step explanation:

The recipe needs 3/5 gallon of milk, half of the recipe requires half of the milk.

3/5 half is:

[tex]3/5 \times 1/2[/tex]

[tex]=3/10[/tex]

Complete Question is;

Which values of a and b make the following equation true (5x^7 • y²) * (-4x⁴ • y^5) = -20x^a • y^b

Answer:

Option A - a = 11 and b = 7

Step-by-step explanation:

We are given the equation as;

(5x^7 • y²) * (-4x⁴ • y^5) = -20x^a • y^b

In algebra, we know that, zⁿ × z² = z^(n + 2).

Thus, collecting like terms in powers on left hand side, we have;

-20(x^(7 + 4)) × (y^(2 + 5)) = -20x^a • y^b

-20(x^(11))•(y^(7)) = -20x^a • y^b

Comparing the left and right hand side, we have;

a = 11 and b = 7

Answer:

A

Step-by-step explanation:

Edge Laws of Exponents quiz :)

Answer:

let’s make a Unit rate.

$20/4 hours = $5 per hour

So you earn $5 in 1 hour if you earn $20 in 4 hours.

hope this helps and pls mark me brainliest if it did ;)

Answer:

$5

Step-by-step explanation:

Let's set up a proportion using the following setup.

money/hours=money/hours

We know that $20 is earned in 4 hours. We don't know how much is earned in 1 hour, so we can say $x is earned in 1 hour.

$20/4 hours= $x/1 hour

20/4=x/1

x/1 is equal to x.

20/4=x

Divide 20 by 4.

5=x

$5 is earned in 1 hour.

Answer:

B on edge 2021

hope this helped

Step-by-step explanation:

Answer:

6,720 ways

Step-by-step explanation:

Since in the problem arrangemnt is being asked this is a problem of permutation.

No . of ways of arranging r things out of n things is given by

P(n,r) =   n!/(n-r)!

In the problem given we have to arrange 5 objects from set of 8 objects.

Here n = 8 and p = 5

it can be done in in

P(8,5) =   8!/(8-5)! ways

8!/(8-5)!  = 8!/3! = 8*7*6*5*4*3!/3! = 8*7*6*5*4 = 6,720

Thus,  number of ways to  arrange 5 objects from a set of 8

different objects is P(8,5) =   8!/(8-5)! =  6,720 .

Answer:

A. Repeat the process many times (1000). If 6 correct out of 8 cups rarely occurs, then it is most likely that the woman was just guessing as to what was poured first.

Step-by-step explanation:

Since tossing a coin 8 times implies 8 cups of tea, with the given conditions.

The sample space = 1000

Then;

             [tex]\frac{6}{8}[/tex] × 1000 = 750

If 6 correct out of 8 cups occurs (750 out of 1000), the woman got 750 correctly. Thus it can be inferred that it is likely that she knew what was poured first, either the tea or milk.

But, if 6 correct out of 8 cups rarely occurs (i.e 250 out of 1000), then it is most likely that the woman was just guessing as to what was poured first.

Answer:

x= -24

Step-by-step explanation:

(4+8+x+12)/4=0

4+8+x+12=0

x= -24

Answer:

24

Step-by-step explanation:

hello

let's note x the number we are looking for

[tex]\dfrac{x}{12}=6\\<=> x = 6*12=72[/tex]

so 1/3 of it equals

[tex]\dfrac{72}{3}=24[/tex]

another way to see it is that 12=4*3

so 1/3 of it equals 6*4=24

hope this helps

Answer:

The answer is option B

Step-by-step explanation:

Since 12 is greater than - 6

Hope this helps

Answer:

12 > -6

Step-by-step explanation:

A positive number is always greater than a negative number

12 > -6

Answer:

81

Step-by-step explanation:

let the terms be a,ar,ar²

r=2/3

a+a(2/3)+a(2/3)²=171

multiply by 9

9a+6a+4a=171×9

19 a=171×9

a=(171×9)/(19)

a=9×9=81

Answer:

Step-by-step explanation:

Hello!

There are some values missing, so I'll find the probability distribution using others as example. Afterwards you can calculate the ones corresponding to this exercise following the same steps.

Considering there are 5000 undergraduates registered in the college.

465 are taking one course

658 are taking two courses

566 are taking three courses

1877 are taking four courses

1344 are taking five courses

90 are taking six courses

First you have to define the variable of interest. To identify it you have to ask yourself the following question: what is the characteristic of this population that is being measured?

The answer is "the number of courses an undergraduate is taking" and this will be the study variable X

X can take values from 1 to 6 courses.

To calculate the probability of each value of X, you have to divide the "number of students taking Xi courses" by "total number of students registered in the college"

For

X=1

P(1)= 465/5000= 0.093

X=2

P(2)= 658/5000= 0.1316

X=3

P(3)= 566/5000= 0.1132

X=4

P(4)= 1877/5000= 0.3754

X=5

P(5)= 1344/5000= 0.2688

X=6

P(6)= 90/5000= 0.018

For this to be a probability distribution the following condition should be met:

F(X)= ∑P(X) = 1

In this example: 0.093 + 0.1316 + 0.1132 + 0.3754 + 0.2688 + 0.018 = 1

I hope this helps!

Answer:

The graph of the probability density function is attached.

Step-by-step explanation:

The probability function for this random number generator will be like the uniform distribution and defined for X ∈ [0, 1].

The probability density function can be written as:

[tex]f(x)={\begin{cases}{\dfrac {1}{1-0}}=1&\mathrm {for} \ 0\leq x\leq 1,\\[8pt]0&\mathrm {for} \ x<0\ \mathrm {or} \ x>1\end{cases}}[/tex]

The graph of the probability density function is attached.

Answer:

$94.125

Step-by-step explanation:

Answer:

mass divided by volume

Step-by-step explanation:

The density can be calculated as the mass divided by volume. So, the correct option is A.

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

Suppose that a finite amount of substance is there having its properties as:

The mass of substance = m kg

The density of substance = d kg/m³

The volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

Therefore, the density can be calculated as the mass divided by volume. So, the correct option is A.

Learn more about density here:

https://brainly.com/question/12630910

#SPJ6

Answer:

107.9 ft

Step-by-step explanation:

Imagine Kite is a point A. The person ,who keeps the string is point B.

The height of flying is AC=85 ft.  So we have right triangle ABC :angle C=90 degrees, angle B is 52 degrees. Length of AB (triangle ABC hypotenuse) is the length of the string.

AB=AC/sinB=85/sin52=107.8665...=approx 107.9 ft

Answer:

Options (3), (4), and (5).

Step-by-step explanation:

From the figure attached,

∠JKM is a straight angle on a segment JKM.

PK is a perpendicular drawn on segment JKM at point K.

Option (1). [tex]\overrightarrow{KQ}[/tex] is a angle bisector

Not True.

Option (2). ∠LKQ is bisected.

Not True.

Option (3). m∠JKL = 45°

Since [tex]\overrightarrow{KL}[/tex] is an angle bisector of angle JKP which is equal to 90°.

True.

Option (4). m∠MKQ + m∠PKQ = m∠PKM

True.

Option (5). [tex]\overrightarrow{PK}[/tex] is a angle bisector.

Since [tex]\overrightarrow{PK}[/tex] is an angle bisector of straight angle JKM.

True.

Option (6). ∠JKL ≅ ∠QKM

Not True.

Therefore, options (3), (4) and (5) are correct.

Answer:

  Mark the points of intersection between circle A and line AB.

Step-by-step explanation:

The attached shows an inscribed square created using technology. We started with point A and B, drew the circle with radius AB, and drew the line AB. Then we marked point C at the intersection of circle A and line AB.

We had a perpendicular to AB drawn through A, and marked its intersection with circle A as points D and E. Finally, we drew inscribed square BDCE.

__

Other answer choices may somehow be involved. We'd need to see the construction to be sure. The one shown above seemed most likely.

Answer:

a) x = 94 units/month

b) s = 51.50 units/month

Step-by-step explanation:

The adequate point estimation of the population mean and standard deviation are the sample mean and sample standard deviation.

a) Point estimation of the population (sample mean)

[tex]M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(94+105+85+94+92)\\\\\\M=\dfrac{470}{5}\\\\\\M=94\\\\\\[/tex]

b) Point estimation of the population standard deviation (sample standard deviation)

[tex]s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2\\\\\\s=\dfrac{1}{4}((94-94)^2+(105-94)^2+(85-94)^2+(94-94)^2+(92-94)^2)\\\\\\s=\dfrac{206}{4}\\\\\\s=51.50\\\\\\[/tex]

Using statistical concepts, it is found that:

a) The point estimate for the population mean is of: [tex]\overline{x} = 94[/tex]

b) The point estimate for the population standard deviation is of: [tex]s = 7.18[/tex]

Item a:

In this problem, the sample is: 94, 105, 85, 94, 92.

Thus, the mean is:

[tex]\overline{x} = \frac{94 + 105 + 85 + 94 + 92}{5} = 94[/tex]

Item b:

Then:

[tex]s = \sqrt{\frac{(94-94)^2+(105-94)^2+(85-94)^2+(94-94)^2+(92-94)^2}{4}} = 7.18[/tex]

A similar problem is given at https://brainly.com/question/13451786

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

c = √169

c = 13

Answer:

the answer is 13

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation: All you have to do is 16 divided by 80 which is 0.2. 0.2 as a decimal is 20%.

Answer:

The bounded area  is: [tex]\frac{73}{6}\approx 12.17[/tex]

Step-by-step explanation:

Let's start by plotting the functions that enclose the area, so we can find how to practically use integration. Please see attached image where the area in question has been highlighted in light green. The important points that define where the integrations should be performed are also identified with dots in darker green color. These two important points are: (2, 6) and (3, 1)

So we need to perform two separate integrals and add the appropriate areas at the end. The first integral is that of the difference of function y=x+4 minus function y=(1/3)x , and this integral should go from x = 0 to x = 2 (see the bottom left image with the area in red:

[tex]\int\limits^2_0 {x+4-\frac{x}{3} } \, dx =\int\limits^2_0 {\frac{2x}{3} +4} \, dx=\frac{4}{3} +8= \frac{28}{3}[/tex]

The next integral is that of the difference between [tex]y=-x^2+10[/tex] and the bottom line defined by: y = (1/3) x. This integration is in between x = 2 and x = 3 (see bottom right image with the area in red:

[tex]\int\limits^3_2 {-x^2+10-\frac{x}{3} } \, dx =-9+30-\frac{3}{2} -(-\frac{8}{3} +20-\frac{2}{3} )=\frac{39}{2} -\frac{50}{3} =\frac{17}{6}[/tex]

Now we need to add the two areas found in order to get the total area:

[tex]\frac{28}{3} +\frac{17}{6} =\frac{73}{6}\approx 12.17[/tex]

Answer: x=3 y=1

Step-by-step explanation:

Answer:

3| 4 4 7

4| 0 3 4

5| 5 5 5

6| 0 1 3 8 9

7| 9

8| 1 4 6 8

hope it helps!

Step-by-step explanation:

Check the numbers and list out the tens digit in stem (that is 3-8) and then write the corresponding leaf values

Answer:

88.93% probability that he let through more than 2 goals if the opposite team made 60 shots on goal.

Step-by-step explanation:

For each shot, there are only two possible outcomes. Either he lets it through, or he does not. Shots are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The goalkeeper of the USA ice hockey National Team, Jonathan Quick, saved 91.6% of shots during his entire career in the NHL.

So he let in a goal in 100 - 91.6 = 8.4% of the shots, so [tex]p = 0.084[/tex]

60 shots:

This means that [tex]n = 60[/tex]

Estimate the probability that he let through more than 2 goals if the opposite team made 60 shots on goal.

Either he lets two or less goals, or he lets more than 2. The sum of the probabilities of these outcomes is 1. So

[tex]P(X \leq 2) + P(X > 2) = 1[/tex]

We want [tex]P(X > 2)[/tex].

Then

[tex]P(X > 2) = 1 - P(X \leq 2)[/tex]

In which

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{60,0}.(0.084)^{0}.(0.916)^{60} = 0.0052[/tex]

[tex]P(X = 1) = C_{60,1}.(0.084)^{1}.(0.916)^{59} = 0.0285[/tex]

[tex]P(X = 2) = C_{60,2}.(0.084)^{2}.(0.916)^{58} = 0.0770[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0052 + 0.0285 + 0.0770 = 0.1107[/tex]

[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.1107 = 0.8893[/tex]

88.93% probability that he let through more than 2 goals if the opposite team made 60 shots on goal.

Answer:

Step-by-step explanation:

Baltimore orioles : 1,000,000 + 1,000,000 + 500,000

Click 2 full bag and 1 half bag

Kansas city royals : 1,000,000 +500,000

Click 1 full bag and 1 half bag

Newyork Yankees  : 1,000,000 + 1,000,000 + 1,000,000 +1,000,000 +1,000,000 + 500,000

Click 5 full bag + 1 half bag

Answer:

(c)1/6

(d)5/12

Step-by-step explanation:

When two fair six-sided dice are rolled once

(a)The pair (x,y) denotes a single outcome of the experiment where x is the outcome of the first die and y is the outcome of the second die.

For example, (2,1) means the first die shows a 2 while the second die shows an outcome of 1.

(b)Sample Space

The sample space of all possible outcome is:

[tex](1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5,6)\\(6, 1), (6, 2), (6, 3), (6, 4), (6,5), (6,6)[/tex]

Total Number of Outcomes =36

(c)The probability for the first die to be two

The outcomes where the fist die is 2 are:

[tex](2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)[/tex]

Therefore:

The probability for the first die is two

[tex]=\dfrac{6}{36}\\\\=\dfrac{1}{6}[/tex]

(d)The probability that the value rolled on die 1 minus the value rolled on die 2 is positive

These are the outcomes of the pair (x,y) where x>y.

They are:

[tex](2, 1)\\(3, 1), (3, 2)\\(4, 1), (4, 2), (4, 3)\\(5, 1), (5, 2), (5, 3), (5, 4)\\(6, 1), (6, 2), (6, 3), (6, 4), (6,5)[/tex]

[tex]P(x-y>0)=\dfrac{15}{36}\\\\=\dfrac{5}{12}[/tex]

Answer:

20

Step-by-step explanation:

If the two triangles are similar, then corresponding sides must share a constant ratio. This means that:

[tex]\dfrac{10}{6}=\dfrac{25}{15}=\dfrac{x}{12}[/tex]

Let's use the second ratio:

[tex]\dfrac{25}{15}=\dfrac{x}{12}[/tex]

Multiply both sides by 12:

[tex]\dfrac{25\cdot 12}{15}=x \\\\x=20[/tex]

Hope this helps!

Answer:

Dear User,

Answer to your query is provided below

If you are asking How many eggs collected from chickens then that is 187eggs

Step-by-step explanation:

Dale puts the eggs into cartons to sell. Dale fills 15 cartons and has 7 eggs leftover. Each carton holds 12 eggs.

So, 15x12 = 180

Plus 7 eggs leftover

Total = 180+7 =187

Answer:

To solve for x we can write:

x² - y² = 55

x² = y² + 55

x = ±√(y² + 55)

To solve for y:

x² - y² = 55

y² = x² - 55

y = ±√(x² - 55)