Answer:
3
Step-by-step explanation:
1+2x=7
7-1=6
2x=6
6/2=3
x=3
Answer:
1092
Step-by-step explanation:
Step one:
given data
Ms Lucas has 9 cases of crayon with 52 boxes in each case
total crayon is
9*52= 468
Ms Bruns has 6 cases of crayon with a 104 in each case
total crayon is
6*104= 624
The total crayon is
468+624= 1092
Answer:
P(X=3cars) = 0.052
P(X>3 cars) = 0.00638
Step-by-step explanation:
In total there are 7 cars per hour.
Using formulae for geometric Probability
P(X=3) = (7^3×e-7)/3! = 0.0521
P(X>3cars) = (7^2× e-7)/2! =
P(X>3) = 0.0128/2×1 =0.00638
Answer:
y = 1/6x -1
Step-by-step explanation:
Use point-slope form: y - y₁ = m (x - x₁)
y - (-2) = 1/6 (x - (-6))
y + 2 = 1/6x + 1
y = 1/6x - 1
Answer:
s = 16.97 units
Step-by-step explanation:
Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.
Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.
Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:
- 0.70710678118 =
, and we are solving for s.
Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.
Cross multiply.
Divide both sides by sine(45 degrees).
The length of side s is 16.97 units.
Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2
Substitute 12 for a and b and solve for c, the hypotenuse.
Evaluate the exponents.
Add them together.
Square root 288 to solve for c.
c = 16.97, which is the same answer as you got using trigonometry.