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
sesenic [268]
3 years ago
15

Write 308 as a product of its prime factor

Mathematics
2 answers:
MArishka [77]3 years ago
6 0
308= 2 and 154= 2 and 77= 7 and 11
Answer: 2x2x7x11(can be simplified into 2^2x7x11)
In the answer you only use the prime numbers until you cannot divide any longer
AfilCa [17]3 years ago
3 0

Answer:

Solution: Since, the prime factors of 308 are 2, 7, 11. Therefore, the product of prime factors = 2 × 7 × 11 = 154.

Step-by-step explanation:

You might be interested in
F(x) = -x² - 7x - 5<br>Find f(-5)​
irga5000 [103]

Answer:

5

Step-by-step explanation:

f(-5)=-(-5)^2 - 7(-5) - 5

f(-5)= -25 +35 - 5

f(-5) = -25 +30

f(-5) = 5

7 0
2 years ago
Read 2 more answers
A university found that of its students withdraw without completing the introductory statistics course. Assume that students reg
polet [3.4K]

Answer:

A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.

a. Compute the probability that 2 or fewer will withdraw (to 4 decimals).

= 0.0355

b. Compute the probability that exactly 4 will withdraw (to 4 decimals).

= 0.1304

c. Compute the probability that more than 3 will withdraw (to 4 decimals).

= 0.8929

d. Compute the expected number of withdrawals.

= 6

Step-by-step explanation:

This is a binomial problem and the formula for binomial is:

P(X = x) = nCx p^{x} q^{n - x}

a) Compute the probability that 2 or fewer will withdraw

First we need to determine, given 2 students from the 20. Which is the probability of those 2 to withdraw and all others to complete the course. This is given by:

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 2) = 20C2(0.3)^2(0.7)^{18}\\P(X = 2) =190 * 0.09 * 0.001628413597\\P(X = 2) = 0.027845872524

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 1) = 20C1(0.3)^1(0.7)^{19}\\P(X = 1) =20 * 0.3 * 0.001139889518\\P(X = 1) = 0.006839337111

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 0) = 20C0(0.3)^0(0.7)^{20}\\P(X = 0) =1 * 1 * 0.000797922662\\P(X = 0) = 0.000797922662

Finally, the probability that 2 or fewer students will withdraw is

P(X = 2) + P(X = 1) + P(X = 0) \\= 0.027845872524 + 0.006839337111 + 0.000797922662\\= 0.035483132297\\= 0.0355

b) Compute the probability that exactly 4 will withdraw.

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 4) = 20C4(0.3)^4(0.7)^{16}\\P(X = 4) = 4845 * 0.0081 * 0.003323293056\\P(X = 4) = 0.130420974373\\P(X = 4) = 0.1304

c) Compute the probability that more than 3 will withdraw

First we will compute the probability that exactly 3 students withdraw, which is given by

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 3) = 20C3(0.3)^3(0.7)^{17}\\P(X = 3) = 1140 * 0.027 * 0.002326305139\\P(X = 3) = 0.071603672205\\P(X = 3) = 0.0716

Then, using a) we have that the probability that 3 or fewer students withdraw is 0.0355+0.0716=0.1071. Therefore the probability that more than 3 will withdraw is 1 - 0.1071=0.8929

d) Compute the expected number of withdrawals.

E(X) = 3/10 * 20 = 6

Expected number of withdrawals is the 30% of 20 which is 6.

5 0
3 years ago
Evan earns $18 per hour. how much will he earn per hour if he gets a 5% raise?
agasfer [191]
18·0.05= 0.9
0.9+18= 18.90
Even will earn $18.90 dollars an hour.
6 0
3 years ago
Let f(x) = x2- 3x - 7. Find f(-3)
Alexxx [7]
F(x) = x^2 - 3x - 7
f(-3) = (-3)^ 2 - 3(-3) - 7
f(-3) = 9 + 9 - 7
f(-3) = 18 - 7
f(-3) = 11
6 0
3 years ago
The following data gives the scores of 13 students in a Biostatistics exam. 75 80 28 70 95 82 75 64 61 90 81 65 91 a) Find the f
Radda [10]

Answer:The following data gives the scores of 13 students in a Biostatistics exam. 75 80 28 70 95 82 75 64 61 90 81 65 91 a) Find the following statistical measures 1. Mean 2. Median 3. Mode 4. Range 5. 34th percentile 6. Interquartile Range 7. Variance 8. Standard deviation PRINCIPLES OF STATISTICS Assignment (1) Due Date: 15/7/2020 9. Coefficient of variation. b) (Without Calculations) If the instructor decide to add up 5 marks for every student, what are the values of the statistical measures mentioned in part (a). c) Construct the Boxplot of students' scores, and identify any possible outliers.

6 0
3 years ago
Other questions:
  • Calculate the number of acres required to produce 1,000 gallons of oil in one year from microalgae and soybeans. Which one (micr
    7·1 answer
  • Find the area of a regular hexagon if given a side length of 1.9 to the square root of 3.
    7·1 answer
  • Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagon
    5·1 answer
  • Name the pair of complementary angles and pair of supplementary angles​
    5·1 answer
  • Ava estimates that 475 songs will fit on her iPad. The actual amount of songs that fit is 350. Find her percent of error.
    9·1 answer
  • Mathmerica Bank offers 2.1% interest compounded yearly
    5·1 answer
  • The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.
    6·1 answer
  • 3x + 7x - 8 = -19 <br><br> can someone please help me with this math problem
    10·2 answers
  • Please help i really need it
    14·2 answers
  • HI PLEASE ANSWER BEFORE 12:00a.m. EST
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!