Find the number which when divided by 2/5 will give 30
2 answers:
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Answer:
Explanation:
8c + 3 = −40c − 10
[ Step 1: Add 40c to both sides ]
8c + 3 + 40c = −40c − 10 + 40c
48c + 3 = −10
[ Step 2: Subtract 3 from both sides ]
48c + 3 − 3 = −10 − 3
48c = −13
[ Step 3: Divide both sides by 48 ]
48c / 48 = −13 / 48
C = -13 / 48 or -0.27083333333
Answer:
a) 3.308 lb
b) That difference is 2.91 standard deviations.
c)
d) We have that , so the weight of 5.24lb is significantly high.
Step-by-step explanation:
The z-score formula is given by:
In which: X is the weight we are going to find the z-score of, is the mean of all the weights and
is the standard deviation of all the weights.
The problems gives these following informations:
The highest weight is 5.24 lb
The mean of all the weights is 1.932 lb
The standard deviation of all the weights is 1.135 lb
a. What is the difference between the weight of 5.24 lb and the mean of the weights?
b. How many standard deviations is that [the difference found in part (a)]?
The difference found in (a) is 3.308lb.
This can be calculated by a simple rule of three.
1 standard deviation - 1.135lb
x standard deviations - 3.308lb
That difference is 2.91 standard deviations.
c. Convert the weight of 5.24 lb to a z score.
We have that:
and
. So:
Answer: 1. It is not possible to construct a triangle of given measure sides.
2. The value of ∠A is 44°
Step-by-step explanation:
1.
Given: Three sides of a triangle
Let a= 12 m , b=30 m and c= 18 m
Now as we know
The sum of two sides of a triangle is always greater than the third side
Therefore we need to show
a+b>c -----(i)
b+c>a -----(ii)
c+a>b -----(iii)
(i a+b= 12+30 = 42>18= b ⇒ a+b>c
ii) b+c=30+18= 48 >12=a ⇒ b+c>a
iii) c+a=18+12=30=b ⇒ c+a= b
Therefore the third condition does not verified
Hence, it is not possible to construct a triangle of given measure sides.
2.
As we now triangle sum property which states that the sum of all the three angles of a triangle is 180°
So we have
Therefore
Hence, the value of ∠A is 44°