Answer:
d = 105° , e = 32° , f = 43°
Step-by-step explanation:
d and 105° are vertically opposite angles and are congruent , then
d = 105°
e and 32° are vertically opposite angles and are congruent , then
e = 32°
105° , e and f lie on a straight line and sum to 180° , that is
105° + e + f = 180°
105° + 32° + f = 180°
137° + f = 180° ( subtract 137° from both sides )
f = 43°
G = 1.25m + 5
n = 1.50n + 1
g = n
1.25m + 5 = 1.50m + 1 <== ur equation
5 - 1 = 1.50m - 1.25m
4 = 0.25m
4 / 0.25 = m
16 = m <== mary has 16 <==
g = 1.25m + 5....g = 1.25(16) + 5....g = 25 <==Gracie has 25 <==
n = 1.50m + 1...n = 1.50(16) + 1.....n = 25 <==Nancy has 25 <==
Answer:
2:5
Step-by-step explanation:
We can simplify the ratio 378 : 945 by dividing both terms by the greatest common factor (GCF).
The GCF of 378 and 945 is 189.
Divide both terms by 189.
378 ÷ 189 = 2
945 ÷ 189 = 5
Therefore:
378 : 945 = 2 : 5
Answer:The correct option is a)
The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would be unusual.
Step-by-step explanation:
The mean of a binomial distribution
μ= np where n=10 and p= 0.2 q= 1-p, q= 1-0.2=0.8
μ= 10×0.2=2
σ=√npq
σ=√10×0.2×0.8=1.26
Is unusual for the number of success to be greater than μ + 2.5σ.
= 2+2.5(1.26)
=5 approximately.
So it is unusual for it to be greater than 0.5. The right option Is a)
In total, they would need 4 pumps. If we divide 55 by 17, we get just more than 3. This little more would need an entire pump. So the answer 4 total, 3 added
