Answer:
x = -3
y = 7
Step-by-step explanation:
y = -2x + 1
7 = -2x + 1
<u>-1 -1 </u>
6 = -2x
divide by -2
x = -3
First you have to double the simple interest to get the amount earned in 1 year. That gives $3.56 earned and a total balance of $893.56
r = (1/t)(A/P - 1) t=time, A=amount of money with interest, P=amount invested
r = (1/1)((893.56/890) - 1) = 0.004
r = 0.004
now convert to a decimal to get .04 = 4%
Answer:
<h3> (x-8)²+(y-3)² = 81</h3>
Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given the centre (8, 3) and the radius of 9, the equation of the circle will be;
(x-a)²+(y-b)² = r²
(x-8)²+(y-3)² = 9²
(x-8)²+(y-3)² = 81
hence the required equation is (x-8)²+(y-3)² = 81
Answer:
The probability of selecting a family with exactly one male child is 1/4 or 0.25.
Step-by-step explanation:
Given in the question,
possible outcomes for the children's genders
{FFFF, FFFM, FFMF, FMFF, MFFF, MFFM, MFMF, MMFF, FFMM, FMFM, FMMF, FMMM, MFMM, MMFM, MMMF, MMMM}
= 16
To find,
the probability of selecting a family with exactly one male child
<h3>Probability = favourable outcomes / possible outcomes</h3>
favourable outcomes = {FFFM, FFMF, FMFF, MFFF}
= 4
Probability = 4 / 16
= 1 / 4
= 0.25
Answer:
Option C is correct.
Step-by-step explanation:
We have been given total 8 data
Data is : 12,15,18,20,23,23,28
Here, n=7
Median is 
Median is 20.
When one data is added n=8
The median of even number of data is

Median is
Median is 
4th terms is 20
5th terms is 23
Since, median should not be change hence,
Median will be 20.
Therefore, option C is correct.