Answer:
12 students
Step-by-step explanation:
1. 7s+16=100
We know the teacher has 100 markers, and she gave each student 7. If we say that s is the number of students, then 7s is the number of markers she gave out. We also know that she had 16 left over.
2. 7s+16-16=100-16
Subtract 16 from both sides of the equation.
3. 7s=84
Simplify the equation.
4. 7s/7=84/7
Divide both sides by 7.
5. Simplify the equation. Since s is the number of students, we now know how many students there are in the teacher's class.
Answer:
x is approximately 226.3 feet
y is approximately 308.6 feet
z is approximately 226.3 feet
Step-by-step explanation:
The given parameters of the walls are;
The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°
From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°
The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet
x = The height of the shorter wall = l × sin(θ₂)
∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet
∴ x ≈ 226.3 feet
By observation, we have;
y = x + z × tan(θ₁)
Where;
z = l × cos(θ₂)
∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6
y ≈ 308.6 feet
z = l × cos(θ₂)
∴ z = 320 × cos(45°) = 160·√2 ≈ 226.3
z ≈ 226.3 feet.
Answer:
The population mean is 5 volts
Step-by-step explanation:
Output voltage is assumed to be normally distributed, with standard deviation 0.25 Volts
s=0.25
n = 8
Sample mean = 
Since n < 30 and population standard deviation is unknown
So, we will use t test
Formula : 
t=-1.69
Refer the t table for p value
Degree of freedom = n-1 = 8-1 = 7
So,
P value >α
So, We are failed to reject null hypothesis
Hence The population mean is 5 volts
Answer:
x = 108
Step-by-step explanation:
The angles all add up to 180 degrees, so if you subtract 25 and 47 from 180, you get x.
Answer:
8mi
Step-by-step explanation:
Using Pythagoras theorem
Hypotenuse square = opposite square + adjacent square.
Let the other leg be x
10 square = 6 square + x square
100 = 36 + x square
Collect like terms
X square = 100 -36
X square = 64
Find square root of both sides
X = square root of 64
X =8mi
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