Answer:
72 orange marbles
Step-by-step explanation:
First, divide 45 by 5 to determine how many red units there are. Then, use that number (9) to multiply with 8 to get the number of orange marbles, which is 72.
Hopefully this helps- let me know if you have any questions!
Slope is rise over run or y2-y1 over x2-x1
Answer:
The denominator of the fraction is 2x and the answer is a= -
Step-by-step explanation:
Suppose we have a quadratic equation of the form:
ax²+bx+c
The axis of symmetry of the parabola is given by:
From here, we must clear the value of a.
For this, we follow the following steps:
1) Pass 2a multiplying to the other side of the equation:
2ax=-b
2) Clear the value of a by passing 2x to divide:
Answer:
x = 3
Step-by-step explanation:
Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.
First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.
Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:
1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.
2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.
In conclusion, x = 3.
Given:
n = 48, the sample size
m = $25,000, th sample mean
σ = $3000, the maximum variance
The standard deviation is
s = √σ = √(3000) = 54.772
As a rule of thumb, the range is 4 times the standard deviation. Therefore the range is
R = 4*54.772 = 219.09
Half the range is
R/2 = 219.09/2 = 109.45
The required range is
(25000-109.45, 25000+109.45) = (24890.46, 25109.54)
Answer: ($24,890.46, $25,109.54)