Answer:
m1= 82
m2=98
m3=82
Step-by-step explanation:
Angle m4 is supplementary with angle m1 so their values add up to 180
180-98=82
Angle m3 is opposite of m1 and is the same value, it is also supplementary to m4 so you can find the value that way as well.
Angle m3 is opposite of m4 so it is the same value. It is supplementary to m1 and m3, so it must be 98 through that logic as well.
4x2 - 7x = 3x + 24
First we rewrite the quadratic equation:
4x2 - 7x - 3x - 24 = 0
4x2 - 10x - 24 = 0
The solutions to the quadratic equation in this case are:
x1 = 4
x2 = -1.5
Answer:
x = -3/2
x = 4
Answer:
14.4km
Step-by-step explanation:
<h2>Speed = distance / time </h2>
- speed = 4.8 km/h
- time = 3 hrs
- distance = ?
Distance = speed * time
Distance = 4.8 * 3 = 14.4km
If we're talking about a box with dimensions 10 ft, 19 ft and 20 ft, it's probable that the instructions say to calculate the volume. That would be
V = (10 ft)(19 ft)(20 ft) = 3800 cubic feet.
We can solve this problem by referring to the standard
probability distribution tables for z.
We are required to find for the number of samples given the
proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value
of z equivalent to:
z = 1.96
Since the problem states that it should be within the true
proportion then p = 0.5
Now we can find for the sample size using the formula:
n = (z^2) p q /E^2
where,
<span> p = 0.5</span>
q = 1 – p = 0.5
E = estimate of 5% = 0.05
Substituting:
n = (1.96^2) 0.5 * 0.5 / 0.05^2
n = 384.16
<span>Around 385students are required.</span>
