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dybincka [34]
3 years ago
8

The measures of two angles of a triangle are 147º and 17º. Find the measure of the third angle.

Mathematics
2 answers:
4vir4ik [10]3 years ago
8 0
The angles of a triangle add up to 180.

third angle
= 180 - 147 - 17
= 16

answer = 16
romanna [79]3 years ago
8 0
147+17=164
180-164=16
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For some postive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770. The value of Z is
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Answer:

1.16

Step-by-step explanation:

Given that;

For some positive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770.

This implies that:

P(0<Z<z) = 0.3770

P(Z < z)-P(Z < 0) = 0.3770

P(Z < z) = 0.3770 + P(Z < 0)

From the standard normal tables , P(Z < 0)  =0.5

P(Z < z) = 0.3770 + 0.5

P(Z < z) =  0.877

SO to determine the value of z for which it is equal to 0.877, we look at the

table of standard normal distribution and locate the probability value of 0.8770. we advance to the  left until the first column is reached, we see that the value was 1.1.  similarly, we did the same in the  upward direction until the top row is reached, the value was 0.06.  The intersection of the row and column values gives the area to the two tail of z.   (i.e 1.1 + 0.06 =1.16)

therefore, P(Z ≤ 1.16 ) = 0.877

8 0
3 years ago
The population of a town is 500,000 in 1990. The population increases at a rate of 5% every five years. What will be the approxi
SVETLANKA909090 [29]
A = P(1+r)^(t/5) A = 500000(1+0.05)^(15/5) A = 500000(1.05)^(15/5) A = 500000(1.05)^3 A = 500000*1.157625 A = 578812.5 Telling us that the population will be about 578,812 people in the year 2005
5 0
3 years ago
Matt and Cat win £120 on the lottery and decide to share the winning ratio 1:2
8_murik_8 [283]
The way to work out how much each person gets is to find out how much one part is worth.

We can do this by adding the ratio (1:2) which gives us 3.

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5 0
3 years ago
Read 2 more answers
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
pav-90 [236]

Answer:

Second option: One solution. Independent.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Since the equations of the system have this form, we know that they are lines.

We can identify that the y-intercept of the first equation y=-5x+1 is:

b=1

Now we need to find the x-intercept. Substitute y=0 and solve for "x":

0=-5x+1\\\\5x=1\\\\x=\frac{1}{5}=0.2

Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.

The y-intercept of the second equation y=-2x-2 is:

b=-2

Now we need to find the x-intercept. Substitute y=0 and solve for "x":

0=-2x-2\\\\2x=-2\\\\x=\frac{-2}{2}=-1

Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).

You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.

Since the lines intersect, then there is one solution that is true for both equations. It is independent

4 0
3 years ago
What are the zeros of the function f(x)= 2x^2-4x-6
jolli1 [7]
The root are x=3 and x=-1

youre welcome :)
5 0
4 years ago
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