Answer:
23
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
N = number of nickels
D = number of dimes
N + D is the total number of coins which we are told is 23
The number in the green box is 23.
(0, 1) and (1, 1)
(0, 0) and (1, 1)
no solutions
Answer:
Step-by-step explanation:
we have
-------> equation A
-------> equation B
we know that
The solution of the system of equations is the intersection points both graphs
using a graphing tool
see the attached figure
The intersection both graphs is the point
therefore
the solution is the point
Answer:
40%
Step-by-step explanation:
From the given statements:
The probability that it rains on Saturday is 25%.
P(Sunday)=25%=0.25
Given that it rains on Saturday, the probability that it rains on Sunday is 50%.
P(Sunday|Saturday)=50%=0.5
Given that it does not rain on Saturday, the probability that it rains on Sunday is 25%.
P(Sunday|No Rain on Saturday)=25%=0.25
We are to determine the probability that it rained on Saturday given that it rained on Sunday, P(Saturday|Sunday).
P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75
Using Bayes Theorem for conditional probability:
P(Saturday|Sunday)=[TeX]\frac{P(Sunday|Saturday)P(Saturday)}{P(Sunday|Saturday)P(Saturday)+P(Sunday|No Rain on Saturday)P(No Rain on Saturday)}[/TeX]
=[TeX]\frac{0.5*0.25}{0.5*0.25+0.25*0.75}[/TeX]
=0.4
There is a 40% probability that it rained on Saturday given that it rains on Sunday.
To find the probability that it rained on Saturday given that it rained on Sunday, we can use Bayes' theorem. We are given the probabilities of rain on Saturday and Sunday, and we can use the law of total probability to calculate the probability of rain on Sunday. Then, using Bayes' theorem, we can determine the probability of rain on Saturday given that it rained on Sunday.
We need to use Bayes' theorem to find the probability that it rained on Saturday given that it rained on Sunday. Let's denote R1 as the event that it rains on Saturday and R2 as the event that it rains on Sunday. We are given P(R1) = 0.25, P(R2|R1) = 0.50, and P(R2|~R1) = 0.25, where ~R1 represents the event that it does not rain on Saturday. We want to find P(R1|R2), which is the probability that it rained on Saturday given that it rained on Sunday.
Calculating these values will give us the probability that it rained on Saturday given that it rained on Sunday.
#SPJ3
Question 3 options:
x equals 35 over 6
x equals 30 over 7
x equals 168 over 5
x equals 196 over 19
Answer:
Option 3) 24 is right.
Step-by-step explanation:
Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm
Also MO is the angle bisector of angle M.
By applying angle bisector theorem for triangles we get
LM/MN = LO/NO
i.e. x/12 = 14/7
Simplify to get x = 24
Hence option 3 is right
Verify:
Check whether angle bisector theorem is true.
The proportion LM/MN =24/12 = 2
The proportion LO/NO =14/7 =2
Both are equal and hence verified
B. The lengths of corresponding sides form equivalent ratios.
C. The lengths of corresponding sides have the same measure.
D. both (a) and (b)