Answer:
x = -13/2 = -6.500
Step-by-step explanation:
Just use tiger algebra solver that is what I use it is much easier.
<span>8(x-3.7)
To find this, you must first use the distributive property.
8 • x = 8x
8 • -3.7 = -29.6
</span>8(x-3.7) = 8x - 29.6
Since there is no way to completely solve this since it's only an expression and not an equation, this is in simplest form.
He needs 20 more unit cubes to completely fill the prism
<h3>How to determine the number of unit cubes?</h3>
The dimension of the prism is given as;
4 by 3 by 3
The volume is calculated as:
Volume = 4 * 3 * 3
Volume = 36
He has already filled 16 units.
So, the units remaining is
Remaining = 36 - 16
Evaluate
Remaining = 20
Hence, he needs 20 more unit cubes to completely fill the prism
Read more about volumes at:
brainly.com/question/1972490
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Answer:
d. (0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
p+/-z√(p(1-p)/n)
Given that;
Proportion p = 195/250 = 0.78
Number of samples n = 250
Confidence interval = 90%
z value(at 90% confidence) = 1.645
Substituting the values we have;
0.78 +/- 1.645√(0.78(1-0.78)/250)
0.78 +/- 1.645√(0.0006864)
0.78 +/- 1.645(0.026199236630)
0.78 +/- 0.043097744256
0.78 +/- 0.043
(0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)
The formula for length of an arc on a circle is given by the formula:
,
where 'r' is the radius of the circle and 'x' is the measure of the central angle of the arc.
We have to determine the value of radius 'r'.
Since, 
By Cross multiplication, we get




Therefore, the radius 'r' is given by
.
Option 4 is the correct answer.