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
uysha [10]
3 years ago
14

Frances age is 6 years less than 2 times her sisters age. Frances age is 15 minus her sisters age. How old is Frances?

Mathematics
1 answer:
kupik [55]3 years ago
6 0

Answer:

Frances and his sister is 8 and 7 years old respectively.

You might be interested in
A line passes through the points (-2, 9) and (1, 3).
siniylev [52]

Answer:

slope = -2

y-intercept = 5

Step-by-step explanation:

1) Find slope:

\frac{3-9}{1-(-2)} =  \frac{-6}{3} = -2

-2 = slope

2) Find y intercept trough point slope and slope-intercept forms

y - y1 = m (x - x1)

y - 9 = -2 (x + 2)

y - 9 = -2x -4

  + 9         + 9

y = -2x + 5

y = mx + b with b being the y-intercept

5 = y-intercept

7 0
2 years ago
Hoi i need this ✨AnsWeREd✨
antoniya [11.8K]

Answer:

answer above or below is right

Step-by-step explanation:

7 0
3 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
3. f(-4) – 3.g(-2) =
Finger [1]
I got:
-2(2f-3g)

explanation:
used communicative property
6 0
3 years ago
Let a be a matrix. What must a and b be in order to define by t(x)ax?.
alisha [4.7K]
I am still not getting my phone back to my computer and my phone and I am trying to find out what
4 0
2 years ago
Other questions:
  • What is five times five?
    15·2 answers
  • Invests 5000 dollars. Pays 5.25% monthly
    9·1 answer
  • Who can help me with this algebra thanks for your help guys.
    13·1 answer
  • Spent 10 doing homework this week 11 hours did he spend 110% this week
    10·1 answer
  • Can y’all help please . i don’t know how to do this .
    13·2 answers
  • Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. If the friends spen
    12·1 answer
  • Michael's team is trying to determine how they can process shipments more quickly. He has convened a large group to come up with
    12·1 answer
  • Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games. (More Than 1 Answer)
    12·1 answer
  • A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.
    15·2 answers
  • AABC is dilated by a factor of į to produce AA'B'C'.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!