Since there are no restrictions on the strings, we can think of this problem as drawing 5 random digits in sequence. There is a 9/10 chance each time we draw to NOT get a 4. Every time we draw, we multiply by 9/10 again until we've draw 5 digits. Thus, the answer is (9/10)^5 :)

Answers

Answer 1

Answer:

[tex]Pr = 0.59049[/tex]

Step-by-step explanation:

See Comment for Complete Question

Given that A has 5 digits. A digit in A can be chosen from 0 to 9 (10 digits).

However, selection without 4 means that we can only select from 0 to 3 and 5 to 9 (altogether, that is 9 digits)

The probability of selecting a number other than 4 in each of the digit is:

[tex]1st \to \frac{9}{10}[/tex]

[tex]2nd \to \frac{9}{10}[/tex]

[tex]3rd \to \frac{9}{10}[/tex]

[tex]4th \to \frac{9}{10}[/tex]

[tex]5th \to \frac{9}{10}[/tex]

So, the required probability is:

[tex]Pr = 1st * 2nd * 3rd * 4th * 5th[/tex]

[tex]Pr = \frac{9}{10} *\frac{9}{10} *\frac{9}{10} *\frac{9}{10} *\frac{9}{10}[/tex]

[tex]Pr = \frac{9^5}{10^5}[/tex]

[tex]Pr = \frac{59049}{100000}[/tex]

[tex]Pr = 0.59049[/tex]


Related Questions

Ayuda plis, no le entiendo ni mais :"

Answers

Answer:

Entiendo tu idioma, hablas español, ¿no? Me encantaría ayudarte hablo inglés y español

Step-by-step explanation:

EASY MATH PLEASE HELP!

Most dogs fail to become service dogs. In a recent training class, only 6 of the 15 dogs were certified as service dogs. What percent of dogs became certified service dogs?

Answers

Answer:

40 Percent

Step-by-step explanation:

Help me plsssssssssssssssss

Answers

THE ANSWER TO X IS 14

1-3x+15
-3x=12/3=4
2-5x-45
+5=50/5=10
3-4+10=14

A 16 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach.

Answers

Answer:

The ladder would reach 15.2 feet up

QUESTION 2 PLEASE HELP ME!!!

Answers

Answer:

Look it up up

Step-by-step explanation:

in me franklins algebra course, eight students recently took a test their grades were as followed: 35, 77, 80, 86, 87, 90, 94, 100

calculate the mean and median of this data set

Answers

Answer:

Mean= sum/no.

= 35+77+80+86+87+90+94+100 / 8

= 649/8

=81.125 was the mean

Median: the middle number

35, 77, 80, 86, 87, 90, 94, 100

Both are in the middle so: 86+87/2

=173/2

=86.5 as the median

Step-by-step explanation:

followed: 35, 77, 80, 86, 87, 90, 94, 100

calculate the mean and median of this data set

1. last question. please help me out thank you. ill mark you brainlist

Answers

Answer:

-7

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

3x + 6 = x - 8

-x -x

(subtract x from both sides)

2x + 6= −8

-6 -6

(subtract 6 from both sides)

2x = -14

/2 /2

(divide 2 by both sides)

x = -7

hope this helped!

what is the lcm of 3 and 4​

Answers

Answer:

12

Step-by-step explanation:

3 x 4 = 12

4 x 3 = 12

Mark as Brainliest

the answer to the lcm is 12


21 3/5 is what percent of 40?

Answers

Answer:

21.6 is 54% of 40.

Step-by-step explanation:

HOPE THIS HELPS!!!

Have a great day!

- Hailey: )

What is the probability of rolling a 6 and then a 7 on a number cube?

NO LINKS PLEASE!​

Answers

Answer:

the probability of rolling 6 is 16 or 16.7%.

the probability of rolling 7 is 0.

Step-by-step explanation:

7 is 0 because its impossible to roll a 7 on one number cube.

Solve for x in the diagram below.

Answers

Step-by-step explanation:

x+(3x+10)=90

4x+10=90

4x=80

x=20 Ans

Jeffrey's recipe for oatmeal muffins calls for 2 3/4 cups of oatmeal and makes one dozen muffins. If he makes 2 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he use?

Answers

Answer:

                              5

Jeffrey will use 9  __ cups of oatmeal

                              8

Step-by-step explanation:

2.75 cups of oatmeal per 1 dozen

2.75 x 2 = 5.5

2.75 + 2.75(1/2) = 4.125

add

5.5 + 4.125 =

9.625 cups of oatmeal

              or

9 5/8 cup

George is planning to attend a public university after he graduates from high school in 1.5 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $31,800. His family has promised to contribute $16,500 each year he is in school. What is the minimum amount of money George must contribute to his savings per month for the next 1.5 years to have enough money to pay for his first year of tuition?

a
$625
b
$900
c
$850
d
$775

Answers

c. 850
take the tuition total and subtract the amount his parents are contributing then divide by the amount of months (18)
please rank brainliest if you can:)!!!

3
What is the difference of
21
?
4

Answers

Answer:

The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.

Step-by-step explanation:


A. 65
B. 30
C. 10
D. 50

Answers

Answer:

50

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D. 50

Step-by-step explanation:

∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:

m∠CGF + m∠AFG = 180°

And, we can substitute:

3x - 20 + x = 180

4x - 20 = 180

4x = 200

x = 50

What is the length of the hypotenuse

Answers

Answer:

C=17

Step-by-step explanation:

15^2+8^2=c^2

C^2=289

C=17

The hypotenuse is 17cm you find it by using Pythagorean’s Theorem

PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!

Topic: Math
Solve all the questions

Answers

Answer:

1. x= 9

2. x= −2

3. 51 inches

4. $213.11 each month

Step-by-step explanation:

1. Simplify both sides of the equation.

x + 7 + 7x= 25 + 6x

Combine Like Terms

(x + 7x) + (7)=6x + 25

8x + 7= 6x + 25

8x + 7= 6x + 25

Subtract 6x from both sides.

8x + 7 − 6x= 6x + 25 − 6x

2x + 7= 25

Subtract 7 from both sides.

2x + 7 − 7= 25 − 7

2x= 18

Divide both sides by 2.

2x/2= 18/2

2.  Subtract 5x from both sides.

x − 5x= 5x + 8 − 5x

−4x= 8

Divide both sides by -4.

−4x/−4= 8/−4

3. First find the perimeter of the trapezoid

4 + 3 + 4 + 8= 19

A square has all equal sides

8 * 4= 32

Add them together

19 + 32 = 51 inches

4. Subtract the amount she put for finance from the total

1598.66 - 320 = 1278.66

Then divide that amount by the 6 months

1278.66 divided by 6 = 213.11

$213.11 each month

The two-way frequency table shows the laptop color preferences, for a random sample of high school students. Which statement is correct? Select one:

O Most males preferred black laptops.

O Most females preferred black laptops.

O Red was the least preferred color for a laptop, amongst male high school students surveyed.

OBlack was the most preferred color for a laptop, amongst all high school students surveyed.​

Answers

Answer:

Most males preferred black laptops

Step-by-step explanation:

PLEEEEASEEE HELP ASAP

In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel

a p e x

Answers

Answer:

a

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

I just got done with this same quiz and i got a 100 .

In summer, the price of strawberries goes up by $1.25 per pound. Sam bought two pounds of strawberries at the new price for $8.46. Write an algebraic equation to determine the original price per pound (s). Use the equation to find the original price per pound.Show your work.

Answers

Answer:

The original price was $7.21

Step-by-step explanation:

8.46-1.25= 7.21

URGENT THIS IS FOR FINALS CAN SOMEONE PLZ SOLVE IT I will brain list​

Answers

Answer:

were is the line

Step-by-step explanation:

Answer:

1- y=2x-5

2- y=-1/6x-5

Hope this helps you!!

your school is having a fundraiser in order to pay for t-shirts. They need to raise $882.69. They have already collected $92.85 in donations. Their goal is to have $190 donated each week. How many weeks do they need to fundraise?

Answers

first, find how much money they need more by subtracting $882.69 by $92.85
= $786.84
then divide by $190
= 4.14
= 5
therefore they need to fundraise for 5 weeks

There is 5 weeks do they need to fundraise.

What is the inequality?

Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.

Your school is having a fundraiser in order to pay for t-shirts.

They need to raise $882.69.

They have already collected $92.85 in donations.

Their goal is to have $190 donated each week.

Let, x be the number of weeks do they need to fundraise.

The number of weeks do they need to fundraise is given by;

[tex]\rm 92.85 +190x > 882.69\\\\190x > 882.69-92.85\\\\ 190x > 789.84\\\\x > \dfrac{789.84}{190}\\\\x > 4.15[/tex]

Hence, there is 5 weeks do they need to fundraise.

Learn more about inequality here;

https://brainly.com/question/15140706

#SPJ2

Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.

Answers

Answer:

coupon A

Step-by-step explanation:

coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15

A chord consists of notes that sound good together. The C major chord starting at middle C has the following frequencies: C - 262 Hz E - 330 Hz G - 392 Hz determine the ratio of the frequency of E to C. Express the answer in a simple integer ratio. How many E waves will fit in the length of four C waves. a. 2 b. 3

Answers

Answer:

The frequency of note E is:

f(E) = 330 Hz

The frequency of note C is:

f(C) = 262 Hz

The ratio of the frequency of note E to the frequency of note C is just the quotient of these two frequencies:

r  = f(E)/f(C) = 330Hz/262Hz = 330/262 = 1.26

Now, we want to find how man E waves will fit in the length of four C waves.

Note that here the word "length" is used, so we need to work with the wavelengths, not with the frequencies.

For waves, we have the relationship:

v = f*λ

where:

v = velocity (in this case, velocity of the sound = 343 m/s)

f = frequency

λ = wavelength.

So, the length of a single E wave is:

λ(E) = (343 m/s)/(330 1/s) = 1.04 m

And the length of a single C note is:

λ(C) = (343 m/s)/(262 1/s) = 1.30 m

In four C waves, the length is:

4*λ(C) = 4*1.30m = 5.2m

The number of E waves that fit in the length of four C waves is equal to the quotient between the length of four C waves and one E wave:

N = (4*λ(C))/(λ(E) ) = (5.2 m)/(1.04m) = 5.14

So we can fit 5 E waves into four C waves.

Answer:

The ratio of the frequency of E to C can be found by dividing the frequency of E by the frequency of C:

330 Hz / 262 Hz ≈ 1.26

To express the answer in a simple integer ratio, we can divide both 330 Hz and 262 Hz by their greatest common factor, which is 2:

330 Hz / 2 = 165 Hz

262 Hz / 2 = 131 Hz

So the ratio of the frequency of E to C is:

165 Hz / 131 Hz = 15/12 ≈ 1.25

This ratio is approximately equal to 5/4

Therefore, the answer is (A) 5 to 4

Solve log2 x = log5 3+1 by graphing. round to the nearest tenth

Answers

Answer:

the answer is 3.2

Step-by-step explanation:

x≈3.2

What is 2x + 5y - 2x?​

Answers

Answer:

5

Step-by-step explanation:

sorry if inorrect

A hospital recorded the weights, in ounces, of newborn babies for two weeks. The

results are listed below.

Weights of babies born during week one: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126

Weights of babies born during week two: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130

Which statement is true?

Answers

Answer:

The standard deviation for week two was about 3 ounces more than the standard deviation for week one

Step-by-step explanation:

Given

[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]

[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]

See attachment for options

Required

The true statement

Checking the standard deviation

For week 1

Calculate the mean:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]

[tex]\bar x = \frac{1014}{10}[/tex]

[tex]\bar x_1 = 101.4[/tex]

Then standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]

[tex]\sigma_1 = \sqrt{252.24[/tex]

[tex]\sigma_1 = 15.88[/tex]

For week 2, we have:

[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]

[tex]\bar x = \frac{1037}{10}[/tex]

[tex]\bar x_2 = 103.7[/tex]

Then standard deviation

[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]

[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]

[tex]\sigma_2 = \sqrt{353.81[/tex]

[tex]\sigma_2 = 18.81[/tex]

Compare the standard deviations

[tex]\sigma_1 = 15.88[/tex]

[tex]\sigma_2 = 18.81[/tex]

Calculate the difference:

[tex]d = \sigma_2 - \sigma_1[/tex]

[tex]d = 18.81 - 15.88[/tex]

[tex]d = 2.93[/tex]

[tex]d \approx 3[/tex]

This implies that option (b) is true

solve for x. Leave your answer in the simplest radical form.

Answers

Answer:

x = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2

use Pythagorean Theorem to find 'x':

2² + 4² = x²

4 + 16 = x²

x² = 20

x = [tex]\sqrt{20}[/tex]

x = [tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex]

x = 2[tex]\sqrt{5}[/tex]

find the area of the trapezoid?​

Answers

Answer:

46,746 mm²

Step-by-step explanation:

½×(210+84)×318

= 46,746 mm²

Question 8 of 25
If a sample mean is 96, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
O A. (76, 108)
O B. (82, 114)
O C. (78, 110)
O D. (80, 112)

Answers

d makes the most sense

The correct range is (80, 112).

The correct option is (D).

What is mean?

Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.

As per the given data:

We are given the mean of the sample.

The mean of the sample = 96

In each option, a range is given.

We have to find out which is the correct range for the given mean.

For a range (a, b) the mean is given by:

mean = (a + b)/2

By using the above definition and checking all the options:

For (76, 108)

mean = (76 + 108)/2 = 92, Not the correct range

For (82, 114)

mean = (82 + 114)/2 = 98, Not the correct range

For (78, 110)

mean = (78 + 110)/2 = 94, Not the correct range

For (80, 112)

mean = (80 + 112)/2 = 96, The correct range

The correct range is (80, 112).

Hence, the correct range is (80, 112).

To learn more about mean, click:

brainly.com/question/31101410

#SPJ7

Other Questions
4x-2 x=5can someone help me with this? A bowling ball rolled with a force of 20 N accelerates at a rate of 5 m/sec2, a second ball rolled with the same force accelerates 10 m/sec2. What are thecombined masses of the two balls? What is the standard angle of a reference angle of 30 in Quadrant III?A. 210 degreesB. 225 degreesC. 150 degreesD. 240 degrees (Worth 10 points)Please actually answer this question What was the cause of the Wilmington Riots?A. Republicans wanted to show their anger after losing the 1898 state election.B. Republicans wanted to take control of the Democratic-led Wilmington government.C. Democrats wanted to take control of the Republican-led Wilmington government.D. Democrats wanted to retaliate against white supremacists. an example of an atmospheric beauty that occurs in the thermosphere? The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management must decide how many employees to schedule to start work on each shift. The objective is to minimize the total number of employees required while the constraints stipulate how many employees are required at each time of day. The variables X1 - X4 represent the number of employees starting work on each shift (shift 1 through shift 4).MIN X1 + X2 + X3 + X4s.t. X1 + X4 12 ........(on duty during shift 1)X1 + X2 15 ........(on duty during shift 2)X2 + X3 16 ........(on duty during shift 3)X3 + X4 14 ........(on duty during shift 4)X1, X2, X3, and X4 0Given the optimal solution: X1* = 13, X2* = 2, X3* = 14, X4* = 0, how many workers would be assigned to shift 2?a. 13b. 12c. 14d. 15e. 2 i need help with french pleaseeeeeeee A square has an area of 16 square ft what would be the measurement of its side what is the HCF of 3000 and 525 answer with process Select the correct answer.Mike needs to write the primary objectives of a project in a project plan. In which section should he write them? A.scopeB.overview c.baselinesD.schedule Need help with school REWARDING BRAINLIEST IF YOU DONT GET IT LMK IF YOU WANT ME TO MAKE A POST (you have to be early) OR TRY AND LOOK FOR A QUESTION NO ONE ANSWERED answer these questions for brainliest (religon class)1- which gospel has the greatest number of chapters?2- which gospel has the fewest number of chapeters?3- which two begin with stories about jesus' birth? Which country did Hitler invade that triggered the all-out conflict in Europe?PolandGreeceSpainGreat Britain Classify the object with the given side lengths as acute, obtuse, right, or not a triangle.16, 21, 28RightAcuteObtuseNot a triangle A principal of $3000 wasinvested in a savings accountfor 3 years. If the interestearned for the period was$450, what was the interestrate?A=P+Prt Can someone pleaseeee help and if youre correct ill cc give brainlies Help Asap Pls Hurry I Will Give Brainliest! Please select the word from the list that best fits the definitionThe stage in which you examine ideas, perhaps using a graphic organizer.