Answer:
Option (d) is wrong.
Step-by-step explanation:
Slope is:
- rise over run
- The rate of change of a line
- Change in y over the change in x
- <em><u>The ratio of vertical change to the horizontal change. </u></em>
It can be given by mathematically as follows :

Hence, the option which is not a description of slope is (d) "the ratio of horizontal change compared to vertical change"
Let volleyball be v and let basketball be b.
v : b = 4 : 7, b = 21
v : 21 = 4 : 7
v/21 = 4/7
7*v = 4*21
v = 4*21/7
v = 4*3
v = 12
Volleyballs are 12
Hope this helps.
Total distance 5 km; at 5km / 0.65 h =
Second part distance: x; at 6 km/h, during t2
First part distance: 5 - x; at 8.75 km/h, during t1
V = d/t ⇒ t = d/V
t2 = x/6
t1=[5-x]/8.75
t2 + t1 = 0.65
x/6 + [5-x]/8.75 = 0.65
x/6 + 5/8.75 - x/8.75 = 13/20
x/6 - x/8.75 = 13/20 - 5/8.75
x/6 - 4x/35 =13/20 - 20/35
35x - 24x = (35*6)(35*13 - 20*20)/(20*35)
11 x = 16.5
x = 16.5/11 = 1.5 km
Answer:
29/42
Step-by-step explanation:
No. of red candies = 3
No. of green candies = 13
No. of yellow candies = 13
No. of blue candies = 13
T.T = 42
Probability that candy will not be blue= 13+13+3 = 29
= 29/42
Hope it helps!
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Have a good day.
Answer:
C.) In perfect health.
Step-by-step explanation:
Given an average weight of 15kg and a standard deviation of 3kg for children of 4 years. Since the weight is based on a normal Z - distribution of 95% which is mean ± 2(standard deviations)
Mean weight interval is :
15 - 2(3) ; 15 + 2(3)
(9 ; 21) ; this weight interval could be interpreted to mean the normal or perfect weight value.
Therefore, given that the child weighs 12kg
Since, 12 kg falls within in the interval, we can conclude that the child is in perfect health.