1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nuetrik [128]
3 years ago
12

Consider all four-digit numbers that can be made from the digits 0-8 (assume that numbers cannot start with 0). What is the prob

ability of choosing a random number from this group that is greater than 7000
Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

0.2498

Step-by-step explanation:

Number of 4 digit numbers that can be formed from the digit (0 - 8), assume number can't start from 0

Thus ;

First digit = (1, 2, 3, 4, 5, 6, 7, 8) = 8 ways

Next three digits = (0, 1, 2, 3, 4, 5, 6, 7, 8) = 9 ways

Hence,

Total possible outcomes = sample space = (8 * 9 * 9 * 9) = (8 * 9^3 ) = 8 * 729 = 5832

Required = number greater Than 7000

For number to be greater Than 7000, starting digit should be either 7 or 8

Hence,

First digit = 2 ways

Next three digits = 9 ways

Also excluding 7000

Hence, Number of digits above 7000;

2 * 9^3 = 2 * 729 = 1458 - 1 = 1457

Hence,

Probability = 1457 / 5832

= 0.2498285

= 0.2498

You might be interested in
Calculate the length b to two decimal places.
Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:        

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta

Upon substituting our given values in the formula we will get,

(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)  

(AC)^{2}=225+144-360\text{ cos}(106)      

(AC)^{2}=369-360(-0.275637355817)      

(AC)^{2}=369+99.22944809412    

(AC)^{2}=468.22944809412

Upon taking square root of both sides of our equation we will be get,

AC=\sqrt{468.22944809412}

AC=21.6386101238993629\approx 21.64  

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0
3 years ago
Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 58.00 ounces. One bag of cerea
blsea [12.9K]

Answer:

add the amount of the bags. you will end up with 38.70 Oz. the subtract the number from the total and you ger 19.30 Oz. the box weighs 19.30 oz.

6 0
2 years ago
The following data points represent the number of attendees at each of the dance events hosted by Cloy
Viktor [21]
Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2: Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3: Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4: Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7),  9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5: Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.

5 0
3 years ago
The equations of two functions are y=-21x+9 and y=24x+8 which function is changing more quickly? Explain
antoniya [11.8K]

Given:

The equations are

y=-21x+9

y=24x+8

To find:

Which function is changing more quickly.

Solution:

The slope intercept form of a line is

y=mx+b

Where m is slope and b is y-intercept.

On comparing y=-21x+9 with the slope intercept form, we get

m_1=-21

|m_1|=|-21|

|m_1|=21

On comparing y=24x+8 with the slope intercept form, we get

m_2=24

|m_2|=24

Since, |m_1|, it means the absolute rate of change of second function is greater than the first function.

Therefore, the second function is changing more quickly.

3 0
3 years ago
Find the value of 4x if x/2=3
Doss [256]

Answer:

24

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x/2 = 3

x = 3×2

x = 6

Therefore

4x = 4 × 6

4x = 24

4 0
3 years ago
Read 2 more answers
Other questions:
  • Why is 3 + (−5) equal to −2?
    10·1 answer
  • Which expression is equivalent to 7 (x y)?
    8·2 answers
  • Which is a greater rate of change -2.5or 1
    10·1 answer
  • What is the value of x
    6·1 answer
  • Taylor and Jillian purchased pieces of gold jewelry. Taylor purchased 0.4 oz of 18-karat gold, and Jillian purchased 1.05 oz of
    13·1 answer
  • Need help plz<br> Angle WRS=_____degrees
    7·1 answer
  • The measures of two interior angles of a triangle are 45° and 53°. What is the measure of the third interior angle of the triang
    6·1 answer
  • Can someone answer all of them? Tysm!​
    10·2 answers
  • What is the square root of 6 - the square root of 12?<br><br> Please answer fast!
    5·2 answers
  • Find the equation of the linear function represented by the table below in slope-
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!