Hello!
<h3><em><u>Answer</u></em></h3>
The area of the right triangle is 30
. The perimeter is 40 in.
<h3><em><u>Explanation</u></em></h3>
First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.
+ 

64 + 225 = 
√289 = 
17 = 
Now that we have all the side lengths, we can use the formulas to find the area and perimeter.
<h3>AREA:</h3>
A = 
A = (15 × 8) ÷ 2
A = 30
<h3>PERIMETER:</h3>
P = a + b + c
P = 8 + 15 + 17
P = 40
To solve this problem, we must divide the number of movies that Jenny thought were very good by the total number of movies she watched. This is because we are finding a percentage, which represents a part out of a whole that have a factor, which in this case is very good movies. First, we begin by dividing 44/55. Then, we realize that both the numerator and the denominator are divisible by 11, so if we divided them both by 11 that would simplify the fraction.
44/55 = 44/11 / 55/11 = 4/5
Next, we can now easily divide our simplified fraction.
4/5 = 0.8
Finally, we must multiply by 100, because a percentage is a portion of 100 (the total is 100%). This is equivalent to moving the decimal point two places to the right.
0.8 * 100 = 80%
Therefore, Jenny thinks that 80% of the movies she watched this year were very good.
Hope this helps!
283.5
So you multiply 6.75 by 21 stools to find the total number of meters. Then you multiply that by 2.
Answer:
1.25
Step-by-step explanation:
.25 x 5 = 1.25
pls mark brainliest!!
Answer: 547
Step-by-step explanation: The margin of error formulae is given below as
Margin of error = critical value ×(σ/√n)
Where σ = standard deviation and n is the sample size.
From our question, margin of error = 0.08
Variance is 1.691,
hence σ = √variance = √1.691
= 1.3.
We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.
The critical value for a 85% confidence interval is 1.44.
Hence critical value is 1.44.
By substituting the parameters, we have that
0.08 = 1.44 × 1.3/ √n
0.08 = 1.873/ √n
By cross multiplying
0.08 × √n = 1.873
√n = 1.873/ 0.08
√n = 23.41
n = (23.41)²
n = 547.