Answer:
The answer would be 150 degrees.
Step-by-step explanation:
When looking at the problem you can see that you have two parallel lines and a transversal. Since the two lines are parallel, this allows alternate interior angles to form, i.e. <A and <B.
Since angle A and B are alternate interior angles, you can now set the two equal to each other.
So, in order to find out what x equals, you have to set the two equations equal to each other.
8x-10=3x+90
Next, solve the new equation.
8x-10=3x+90
Add 10 to both sides.
8x=3x+100
Subtract 3x from both sides.
5x=100
Divide both sides by 5 and you'll get your answer.
x=20
Now that you know what x equals, you can substitute it into the equation for B.
<B= 3(20)+90
60+90= 150
<B=150 degrees
That gives you your answer of <B = 150 degrees.
To check your work you can also substitute x into the equation for <A.
<A= 8(20)-10
160-10= 150
<A=150 degrees.
Therefore, you have just proved that the answer is 150 degrees.
Answer:
it should be 42 hope it helps
Step-by-step explanation:
The answer for this question is only one and three
Answer:
The 95.5% confidence interval would be given by (0.344;0.432)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
The estimated proportion on this case is given by:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95.5% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 95.5% confidence interval would be given by (0.344;0.432)
There are 48 photographs in total and he puts them inn 8 equal rows. With this, you have to divide the total amount of photographs (48) by the amount of equal rows (8) to see how many photographs are in each row.
48/8 = 6 photographs in each row.
To check, you can simply do the inverse operation which would be:
6 x 8 = 48
As you can see, the total of 48 still remains.
The answer is:
There are 6 photographs in each row.
