1. When opening a bank account with a credit card, you will be asked to create a 4-digit PIN
number for debit transactions. From how many possible PIN numbers can you choose?
Explain your reasoning. (5 points)
2. The useful life of a radial tire is normally distributed with a mean of 80,000 miles and a
standard deviation of 5000 miles. A small tire company produces 10,000 tires a month.
a What is the probability that if you buy a radial tire at random, it will last between
70,000 and 85,000 miles? (1 point)
b. About how many tires from a month's production will last between 75,000 and
85,000 miles? (2 points)

Answers

Answer 1

Answer:

1) 10000.  When asked to pick a set of four decimal digits, then the total number of combinations possible are 10⁴.  More generically speaking, if asked to pick a random set of n digits expressed in base b, then the total number of combinations available is bⁿ.

2a) 95%.  According to the "Empirical Rule"  95% of data in a normal distribution falls within two standard deviations of the average.

2b) 68%.  Again, using the Empirical Rule, we know that 68% fall within one standard deviation of the average.


Related Questions

cara played a card game using a deck of 52 cards after she dealt the same number of cards to 4 players she had 24 cards left over how many cards did each player get

Answers

Answer:

7

Step-by-step explanation:

Assume each player get x cards. Total number of cards now is 4x+24=52.

Therefore, 4x=52-24=28.

Then, x= 28/4=7.

Help please I suck at math

Answers

Answer:

1 biodata is on my class then you will contact or person

Answer:

hey

Step-by-step explanation:

How many 4 digits codes can be formed with odd numbers without repetition? 0 is not allowed.

Answers

9514 1404 393

Answer:

  120

Step-by-step explanation:

The number of permutations of 5 things taken 4 at a time is 120.

__

There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.

120 4-digit codes can be formed using odd digits with no repetition.

giving brainliest !! *easy*

Answers

Answer:

r2r [tex]\pi \: r[/tex]m

find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=5.

Answers

Answer:56

Step-by-step explanation:

The cost of a pair of Jordans is $125.00. The local sporting goods store sells it for $175.00. Find the markup rate.

Answers

Answer: 76

Step-by-step explanation:

Answer:

125 X 40% = 50.00

50.00 is the increase from the markup rate

Answer is 40%

Step-by-step explanation:

RQ= x+1 QP=7 RP=2x+8 solve for RP

Answers

Answer:

RP = 8

Step-by-step explanation:

RQ + QP = RP (segment addition theorem)

(x + 1) + 7 = 2x + 8 (substitution)

Add like terms

x + 8 = 2x + 8

8 - 8 = 2x - x

0 = x

x = 0

✔️RP = (x + 1) + 7

Plug in the value of x

RP = (0 + 1) + 7

RP = 1 + 7

RP = 8

Good afternoon!

I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.

If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.

Anyways, please show all of your work and explain your thinking! Thanks!

Answers

9514 1404 393

Answer:

  5) 112°

  6) 40°

Step-by-step explanation:

5) The angle E or ? is half the sum of the intercepted arcs:

  ? = (130° +94°)/2 = 112°

__

6) The angle D is half the difference of the intercepted arcs:

  ? = (135° -55°)/2 = 40°

A rectangular gift box has dimensions that can be represented as shown in the figure. The volume of the box is 56w cubic inches. Which of the following is not a dimension of the box?

Answers

The dimension of the box is 12 by 7 by 8

How to calculate the volme of  a box

The volume of the box = lwh

Given the following

l = w

w = w - 5

h = w - 4

Hence;

w(w-5)(w-4) = 56w

Expand to have

(w^2-5w)(w-4) = 56w
w^3 - 4w^2 - 5w^2 + 20w = 56w
w^3 -9w^2 - 36w = 0

Factorize to get the value of w;

w(w^2-9w-36)=0

w^2 - 12w + 3w - 36 = 0

w(w-12) + 3(w-12)= 0
w = -3 and 12

Hence the dimension of the box is 12 by 7 by 8

Learn more on volume of box here: https://brainly.com/question/15532376

How many different 12 member juries can be chosen from a pool of 20 people?

Answers

Answer:

1,007,760

Step-by-step explanation:

This is a question that bothers on selection

Using the combination formula

nCr  = n!/(n-r)!r!

20C12 = 20!/(20-12)!12!

20C12 = 20!/8!12!

20C12 = 20*19*18*17*16*15*14*13*12!/8!12!

20C12 = 20*19*18*17*16*15*14*13/8!

20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2

20C12 = 5,079,110,400/5040

20C12 = 1,007,760

Hence this can be done 1,007,760 different ways

How many joules of gravitational potential energy does a 15 kg object have when it is lifted from the floor and held 0.6 meters above the ground?

Answers

Answer:

88.29joules

Step-by-step explanation:

mgh=gravitational potential energy

(15kg)(9.81)(0.6)= 88.29joules

52.76= 52+0.7+____

i hate this app a bit

Answers

Answer:

52.76= 52+0.7+52.76

Step-by-step explanation:

i got 10.6 am i wrong?

Answers

Answer:

15.3

Step-by-step explanation:

because 15 is the number I think

I am thinking of a number if you add two to the number then double it, you get ten. what is the number?​

Answers

Answer:

Difficulties regarding the emotions of your body.

Step-by-step explanation:

Difficulties regarding the emotions of your body.

Answer:

3

Step-by-step explanation:

Do this backwards.

10 ÷ 2 = 5

5 - 2 = 3

Extra: In order to solve questions like these, you might want to change it in the opposite way. For example, if they add a number , you subtract that number in your working.

In Usama's high school, there are 190 teachers and 2650 students. What is the student-teacher ratio?
a. 1:14
b. 14:1
C. 503500

Answers

Answer:

i think it's 14:1 i can't understand 503500.

HELP PLEASE WILL MARK BRAINLIEST!
Find the area. Simplify your answer.

Answers

Answer:

assuming that the figure is a parallelogram:

area = base x height

area = (x + 3) (2x) = 2x² + 6x

Step-by-step explanation:

How is a decimal changed into a percent?
Divide by 100 and add a percent sign.
Move the decimal two places to the right, multiply by 100 and then add a percent sign.
Move the decimal two places to the right and add a percent sign.
Move the decimal two places to the left and add a percent sign.

Answers

Answer:

Move the decimal two places to the right and add a percent sign.

Step-by-step explanation:

.15= 15%

1.25= 125%

.06= 6.0, or 6%

Answer:

To convert a percent to a decimal, we move the decimal point 2 places to the left, just as we did when we were dividing by 100.

Step-by-step explanation:

A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 300 responses with the following results:

90 were interested in a interview and documentary, but not reruns
12 were interested in an interview show and reruns, but not a documentary
42 were interested in reruns but not an interview show
72 were interested in an interview show but not a documentary
30 were interested in a documentary and reruns
18 were interested in an interview show and reruns
24 were interested in none of the three

Required:
How many are interested in exactly one kind of show?

Answers

Answer:

144

Step-by-step explanation:

The best way to attempt this question is to solve it using a Venn diagram

From the given information, Let;

D = documentaries

I = interview shows

G = game show reruns

From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.

i.e

= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)

= 300 - 234

= 66

No of those interested in exactly one kind of show = 66 + 60 + 18

= 144

∴[tex]\text{144 are interested in exactly one kind of show.}[/tex]

Find the slope of the line.
Y=5/3x

Answers

Answer:

[tex] \frac{5}{3} [/tex]

~ See attatchment

Step-by-step explanation:

I'm unsure what you want me to do here, so I drew a graph (using Desmos) and the slope.

The slope is given, 5/3. The slope-intercept equation is usually y = mx + b -- m being the slope and b being the y-intercept.

Hi!

Let's check if the equation that we're going to work with is in slope-intercept form.

Remember, the slope-intercept formula is:

                                   [tex]\diamondsuit~~~\boldsymbol{y=mx+b}[/tex]

Where:

m -> Slopeb -> Y-intercept

Details:

[tex]\boxed{\\\begin{minipage} {8cm}\sf{Slope = coefficient \ of \ x, \ or \ the \ number \ before \ x.}\\\sf{Y-intercept = \ a \ number \ added \ to \ or \ subtracted \ from \ the \ slope.} \end{minipage}}[/tex]

Therefore:

[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Slope:}\quad\boldsymbol{\displaystyle\frac{5}{3}}}}}[/tex]

I hope I helped, have a wonderful day!

If you need any explanation or clarification, reach out to me, I'm always happy to help. :D

M = 19 - 3 please ANSWErrrr

Answers

Answer:

16

Have a great day!

M=16
19-3 is 16, so there’s you answer

Can someone help me on problem one and if you can and only if you want can you also help me on two btw please show work I will give branily crown thing.

Answers

Answer:

17/15 _53/6

Step-by-step explanation:

The other is problem 1 and the other is problem 2

PROBLEM #1:

As the problem is, we are adding a negative. I can change this to be a subtraction problem. It looks like this: [tex]2\frac{1}{3} - 1\frac{1}{5}[/tex].

To be able to add or subtract fractions/mixed numbers, we have to first get common denominators. A common denominator is a shared multiple between two numbers. So, we need to find the smallest number that both 3 and 5 (the denominators of each fraction) can do into evenly. In this case, that number is 15! To transform the fractions to have common denominators, we will multiply 1/3 by 5/5 and 1/5 by 3/3 (multiply the top and bottom by 5 or 3 so that the denominator is 15). Here is our new problem: [tex]2\frac{5}{15} - 1\frac{3}{15}[/tex].

All that's left to do now is subtract! Since our first fraction is larger (this is important!) we don't need to do any borrowing. So, we'll subtract 2 - 1 = 1, and 5/15 - 3/15 = 2/15. Therefore, if we put those pieces back together, we get 1 2/15 ([tex]1\frac{2}{15}[/tex]).

PROBLEM #2:

For this problem, we have two negative mixed numbers. In this case, we will simply be adding the negative numbers because both are negative. For example, -2 + -4 = -6. Here is the rewritten problem: [tex]-3\frac{1}{2} + -5\frac{1}{3}[/tex].

Our first step is to get common denominators. In this case, that common denominator will be 6: [tex]-3\frac{3}{6} + -5\frac{2}{6}[/tex].

Now, we have to add! -3 + -5 = -8, -3/6 + -2/6 = -5/6. Once we've added the parts, we can put them back together to form the answer: -8 5/6 ([tex]-8\frac{5}{6}[/tex]).

Hope this helps!! :)

A recent study estimated that 68% of US adults enjoy reading a book while relaxing. How many adults are required
for a random sample to obtain a margin of error of at most 0.05 with 90% confidence?
A.236
B.271
C.335
D.578

Answers

Answer:

Step-by-step explanation:

236, did on edge

List your most frequent self criticism and analyze how you believe it developed ​

Answers

Answer:

Step-by-step explanation:I’m not smart because I am get fs

did you encounter any difficulties in choosing the graph of the given situations.​

Answers

We can’t see anything if there was supposed to be a photo sorry :(


In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.
Many pundits claim that the worst is yet to come, with an earthquake 200,010 times
as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability
to predict such earthquakes were correct, what would be the magnitude of their
claimed earthquake? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

I need help on this question

Answers

answer is A im a full course teacher for this subject
the answer would be A

Simplify the following fractions

8/24
8/32
6/30
12/24
9/21
5/20

Answers

Answer:

for 8/24 the answer will be 1/3.

and for 8/32 the answer will be 1/4.

and for 6/30 the answer will be 1/5.

and for 12/24 the answer will be 1/2.

and for 9/21 the answer will be 3/7.

and for 5/20 the answer will be 1/4

Step-by-step explanation:

A sine function has the following key features: Period = 4pi Amplitude = 2 Midline: y = 3 y-intercept: (0, 3) The function is a reflection of its parent function over the x-axis.

did I get this right?

Answers

The sine function is:

f(x) = -2*sin(x/2) + 3.

So you got it almost correctly, you only forgot to apply the reflection.

How to get the sine function?

We start with the general sine function:

[tex]a*g(w*x + p) +m[/tex]

where g(x) = sin(x)

a is the amplitude, which we know is equal to 2.w depends on the period.M is the midline, which we know is equal to 3.p is the phase shift, because the y-intercept is (0, 3) we know that:

f(0) = 2*sin(w*0 + p) + 3 = 3

      = 2*sin(p) + 3 = 3

Then we must have p = 0, so there is no phase shift.

We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:

f(x) = 2*-sin(wx) + 3

Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:

f(x) = -2*sin(x/2) + 3.

This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.

If you want to learn more about sinusoidal functions, you can read:

https://brainly.com/question/18055768

Answer:

I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures

hope this helps

A toy rocket is launched from the roof of a building. The graph below shows the height of the rocket x seconds after it was launched. What is the average rate of change of the height of the rocket during its descent?
A. -32 ft/sec
B. -24 ft/sec
C. -64/3 ft/sec
D. -16 ft/sec​

Answers

Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:

D. -16 ft/sec​

What is the average rate of change of a function?

It is given by the change in the output divided by the change in the input.

In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:

r = -48 ft/3 s = -16 ft/s

Hence option D is correct.

More can be learned about the average rate of change at https://brainly.com/question/24313700

can someone find the slope intercept equation thanks and can you explain it

Answers

Answer:

the slope is -2x

Step-by-step explanation:

Its negative because the line is going towards the negatives, and 2 because the slope is rise over run. the line is going up 2 and over 1, which means 2/1, which simplifies to 2

Answer:

-2x -2

Step-by-step explanation:

The slope is negative because it is going down instead of up

y intercept is -2

Use rise over run

Rise is y x is run select 2 points and check rise/run

Slope= - x -(y)

-2

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