A number is chosen uniformly at random from among the positive integers less than $10^8$. Given that the sum of the digits of the number is 9, what is the probability that the number is prime

Answers

Answer 1

Answer:

 

If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(

Step-by-step explanation:


Related Questions

Solve the system of linear equations y= 2x -3Y= x + 6

Answers

Answer:

x=9, y=15. (9, 15).

Step-by-step explanation:

y=2x-3

y=x+6

----------

2x-3=x+6

2x-x-3=6

x-3=6

x=6+3

x=9

y=9+6=15

on a map of the northwest territories,4.0cm represents 920km. how far is it from tuktoyaktuk to fort smith is the distance on the map js 6.0cm

Answers

Answer:

1380 km

Step-by-step explanation:

Each 4 cm = 920 km

6 cm is 1.5 x 4, so multiply 920 x 1.5

A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting taxes; 59% of those asked said "yes." Suppose that in fact 62% of all adults favor balancing the budget over cutting taxes. If this poll was not biased, what is the probability you would get p^=0.59 or less?

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]

In this problem:

1,190 adults were asked, hence [tex]n = 1190[/tex]In fact 62% of all adults favor balancing the budget over cutting taxes, hence [tex]p = 0.62[/tex].

The mean and the standard error are given by:

[tex]\mu = p = 0.62[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141[/tex]

The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.59 - 0.62}{0.0141}[/tex]

[tex]Z = -2.13[/tex]

[tex]Z = -2.13[/tex] has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

Can you please factorise 7-x²

Answers

Answer:

Can't factorize with rational numbers

Step-by-step explanation:

The best you could do is [tex](\sqrt{7}+x)(\sqrt{7}-x)[/tex] but [tex]\sqrt{7}[/tex] is irrational.

Answer:

Step-by-step explanation:

7-x²

If we treat this as the difference of 2 squares we get

(√7 - x)(√7 + x)

√x - 5+ x = 7
please help me out :)

Answers

The answer is X = 1, x=4

Find the solution set of each inequality below, and then determine which inequalities have the same
solution set as -(-8x – 3) < 23. Select all that apply.

A
1
(8x + 3) < -23
B
(10x =
- 20) >-44
1
(8x + 3) >-23
(10
(10x +20) >44
E
(8x + 3) < 23
F-crx
(10x +20) < -44
+

Answers

Answer:

(8x+3)<23 is the same as -(-8x-3)<23

Step-by-step explanation:

-(-8x-3)<23  Original equation

(8x+3)<23   [Remove the parentheses]

It is the same equation as the chosen answer: (8x+3)<23

Answer:

Choice E.

Step-by-step explanation:

-(-8x – 3) < 23

-8x - 3 >  -23

-8x > -20

x < 20/8

x < 2.5.

E:-

(8x + 3) < 23

8x < 20

x < 2.5.

The point F( – 4,6) is translated 6 units right. What are the coordinates of the resulting point, F'?

Answers

6units right means there is no change in y-co-ordinatesThe y co-ordinate is constant. nowOnly x co-ordinate will increase by 6

i.e

[tex]\\ \sf{:}\Rrightarrow -4+6=2[/tex]

New co-ordinates:-

[tex]\\ \sf{:}\Rrightarrow F(2,6)[/tex]

Julie is a cashier. She can ring up 12 customers in 9 mintesutes. At the rate, how many minutes does it take for her to ring up 4 customers?

Answers

Answer:

5.2

Step-by-step explanation:

ok so we need to find the unit rate( how many customers per minute) and thats 12 divided by 9 which is 1.3 minutes per customer so now we need to find what 1.3 minutes is x4 customers. This brings us to 5.2.

find the slope of the line that passes through (3,1) (4,9)

Answers

Answer:

+8

Step-by-step explanation:

The slope here would be 8 using rise over run formula which puts y/x and gives you 8

Problem Solving
4. A school club sells 43 raffle tickets on Monday and
39 raffle tickets on Tuesday. How many more raffle
tickets did it sell on Monday than on Tuesday?

Answers

Answer:

They sold 4 more raffle tickets on monday than they did on tuesday.

Step-by-step explanation:

Answer: they sold 4 more raffle tickets on monday than tuesday.-

Step-by-step explanation:

Tyra, Elle, Tran, and Ann share equally in the rental of a car. If the total cost of the rental is C dollars, which expression represents Tyra's share of the cost?

Answers

Answer:

c/4

Step-by-step explanation:

Since it's equally shared, and the total cost is C, then the answer is c/4

the gym teacher has 13 playground balls for the 4 fourth grade classroom
to share. how many balls will each classroom get

Answers

Answer:

3-4

because 12 ÷4 is 3 but there is 13 so you add 1 ball so in each there is

4 3 3 3

the state of California keeps track of how many millions of students are learning English as a second language each year: English Learners are shown in millions in the table.
find an equation for the median fit line

Answers

There is no table too be seen, this data can’t be calculated by itself for viewers

Line a goes through the points (- 3, 4) and (1, 2) . Line b goes through the point (6, 2) and (8, 1) . Are lines a and b parallel, perpendicular, or neither?

Answers

Answer:

They are parallel

Step-by-step explanation:

Find slope of point A

(-3,4), (1,2)

2-4=-2 1-(-3)=4

slope of a= -2/4 or -1/2

Find slope of point B

(6,2), (8,1)

1-2=-1, 8-6=2

slope of b= -1/2

Both have different slopes, and it can't be perpendicular because they have different denominator values.

Answer:

Step-by-step explanation:

(-3,4) (1,2)

difference is (y2 - y1) /( x2 - x1)

-2 / -4

-1/2 is the slope

(6,2) (8,1)

same as the last

-1 / 2

these lines have the same slope so they are parallel, if their slopes were reciprocals (-1/2 and 2) they would be perpendicular.

Mr. Cooper determined functions to represent his distance traveled in miles, d, in terms of the number of hours, 1, of driving on two types of
highways. He found that on a state highway the function was d = 45t, and on a U.S. highway, the function was d = 601.
If Mr. Cooper drove for 1.5 hours on each type of highway, how much farther did he drive on the U.S. highway than on the state highway?
Enter the answer in the box.

Answers

Answer:

105t1

Step-by-step explanation:

por qué los sumas te da

Which number is closest to 1/2

Answers

Answer:

0.56

it's basically the number closest to 50. Don't get tricked by the 0.05 because that's only 5% not 50%

Drag each tle to the correct box
Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation

Answers

MAGAKAKASUNOD NA PO YAN

#CARRYONLEARNING

pa brainliest po thanks

Samir bought 6 equally priced pencils for $2.10.

How much will 10 of these pencils cost?


$1.26

$2.63

$2.86

$3.50

Answers

Price of 6pencils=2.10

Price of one pencil

[tex]\\ \sf\longmapsto 2.10/6=0.35[/tex]

Price of 10pencils

[tex]\\ \sf\longmapsto 0.35(10)=\$3.5[/tex]

The cost of ten pencils is $3.50.

Given

Samir bought 6 equally priced pencils for $2.10.

Unit rate;

A rate is a ratio that is used for comparing two different kinds of quantities which have different units.

The cost of 1 pencil is;

[tex]\rm =\dfrac{2.10}{6}\\\\=0.35[/tex]

Therefore,

The cost of 10 pencils is;

[tex]= 10 \times 0.35\\\\=3.50[/tex]

Hence, the cost of ten pencils is $3.50.

To know more about unit rate click the link given below.

https://brainly.com/question/11258929

WILL GIVE BRAINLY,5 STARS, THANKS


4,800/60 = 480 tens / 6 tens = ___

Answers

Answer:

80

Step-by-step explanation:

Answer:

800 = 80 tens

Step-by-step explanation:

4800 / 60 = 800

Find the equation of the line that goes through ( 2, 4 ) and ( 4, 6 ).

Answers

Answer:

y=x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-4)/(4-2)

m=2/2

m=1

y-y1=m(x-x1)

y-4=1(x-2)

y=x-2+4

y=x+2

Jared and Casey splurged on a special dinner for their anniversary. Their dinner cost $262.57,
and the local sales tax is 4%. If they left a 20% tip on the $262.57, how much in total did
they pay?

Answers

They paid a total of $325.5868

Can someone help me please

Answers

Answer:

the equation is linear, the equation is y=9.8x

Step-by-step explanation:

how many 7 digit numbers are there where all the digits are different and are in increasing order

Answers

Answer:

  36

Step-by-step explanation:

Usually, when we talk about an n-digit number, we mean one that has no leading zeros. If we use all 9 non-zero digits, the single number having increasing digits is ...

  123456789

We cannot swap any digits and have the digits remain in increasing order. The only thing we can do to create different numbers is remove different pairs of digits.

There are 9C2 = 9·8/(2·1) = 36 different ways to choose 2 digits from 9. Thus, there are 36 possible 7-digit numbers with the digits in increasing order.

__

Additional comment

The first few are 1234567, 1234568, 1234569, 1234578, 1234579, 1234589, ...

Answer 75-82 pls it would be amazing!!!!!

Answers

Answer:

75-82=-7

Step-by-step explanation:

e

Which is the last step when creating and analyzing a scatterplot from a table of values?

Plot the ordered pairs of the independent variable and the dependent variable on the coordinate plane.
Draw or obtain a blank coordinate plane.
Identify if there is a relationship between the independent and dependent variables.
Label the axes of the coordinate plane according to the input and output variables.

Answers

Answer:

A quadratic equation. ax2 +bx+c=0 has exactly one real solution if ∆=b2-4ac=0. We check the answers. In (A) ∆=1 ; in (B) ∆ =25: in (C) ∆=0; in (D)∆=1 . (C) is the correct answer.

Answer:

C. Identify if there is a relationship between the independent and dependent variables.

Step-by-step explanation:

​Justin completed 85% of a book when he read the first 170 pages. How many pages are in the book?

Answers

there are 200 pages

Answer:

200 BooksStep-by-step explanation:

A square with an area of 144cm is reduced by a factor of 1/3. How long are the new sides of the square?

Answers

Answer:

9.797. . .

Step-by-step explanation:

2/3 of 144 is 96

[tex]\sqrt{96} = 9.797...[/tex]

Which point would be a solution to the system of linear inequalities shown below?

Y>2/3x-4

Y<−4x−6

Answers

2/3x-4 im not all the way sure

what is the range of a parabola that opens down with a vertex at (1,-3)

Answers

Answer:

-3 to -infinity

Step-by-step explanation:


© There is a bag with only milk and dark chocolates.
5
The probability of randomly choosing a dark chocolate is
5/12
There are 25 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.

Answers

Answer:

I think it's 35, because if there's 25 dark and you divide 25 by 5 you get 5, so 1/12 is equal to 5

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