Answer:
x-value is 4
Step-by-step explanation:
2x-3y=-1
3x+4y=24
We can solve the equation by eliminating y
We multiply the first equation by 4 and the second by 3
4(2x-3y=-1 )
3(3x+4y=24)
8x -12y = -4
9x +12y = 72
Then we add the two equations;
8x -12y = -4
9x +12y = 72
17x = 68
x = 4
Thus the x-value is 4
Answer:
the time percentage is 17%
Step-by-step explanation:
The computation of the time percenatge in the case when the detector lie and done with the mistake is as follows:
L denotes the event in which a person is lying.
NL denotes the event in which a person is not lying.
C denotes the event in which that lie detector works correctly
NC denotes the event in which lie detector is not working correctly
Now
P(C|L) =0.8
And,
P(NC|L) is
=1 - .8
= 0.2
P(C|NL) =0.9
P(NC|NL) is
= 1 -.9
=.1
P(L) = 0.7
P(NL) is
= 1 - .7
= .3
Now
P(NC) =P(NC|L) × P(L) + P(NC|NL) × P(NL)
=. 2 × .7 + .1 ×.3
=. 14+.03
= 0.17
Hence, the time percentage is 17%
Answer:
The regression equation of the data will be:
Step-by-step explanation:
A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.
The general form of a simple linear regression equation is:
Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>a</em> = intercept
<em>b</em> = slope
The data is provided for the number of free throws a player makes in a basketball game and the number of points the player scores in the game.
The free throw in a basketball game implies that for every throw shot made the player receives point.
This implies that the points scored are based upon the number of free throws made by a player.
So, the dependent variable is the number of points scored and the independent variable is the number of free throws a player makes.
Then the regression equation of the data will be:
Answer:
5. 34°
6. 29.7
Step-by-step explanation:
5. Using sine law
25/sin(93) = 14/sin(C)
sin(C) = 0.5592325395
C = 34.00273934°
6. Using cosine law
AC² = 23.2² + 18.1² - 2(23.2)(18.1)cos(91)
AC² = 880.507229
AC = 29.67334206
Answer:
2.700
Step-by-step explanation:
<u>2. 700</u>
14 / 3 7.800
− <u>0</u>
37
− <u>28</u>
98
−<u>98</u>
00
_ <u>0</u>
0 0
− <u>0</u>
0
Hope this helps!
