Answer:
r = 3
Step-by-step explanation:
q = k / 
k = q
= 1.2 x 3 x 3 = 10.8
q = 10.8/
1.2 = 10.8/
r =
= 3
Answer:
h + s = 15
2h + s = 20
Step-by-step explanation:
Let the number of hats Chevy made = h
Let the number of scarves made by Chevy = s
From the statement of the question, " Chevy made a total number of 15 items"
Equation will be h + s = 15
Amount of yarn used to make one hat = 0.2 kilograms
So amount of yarn used to make "h"hats = 0.2h kilograms
Similarly Amount of yarn used to make one scarf = 0.1 kilograms
So amount of yarn used to make "h" scarves = 0.1s kilograms
Another statement states " Chevy wants to use 2 kilograms of yarn to make these items".
Equation for this statement will be,
0.2h + 0.1s = 2
OR 2h + s = 20 [By multiplying the equation by 10]
Therefore, system of the equations will be
h + s = 15
2h + s = 20
Answer:
Step-by-step explanation:
For the null hypothesis,
H0 : p = 0.63
For the alternative hypothesis,
Ha : p < 0.63
This is a left tailed test
Considering the population proportion, probability of success, p = 0.63
q = probability of failure = 1 - p
q = 1 - 0.63 = 0.37
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 478
n = number of samples = 800
P = 478/800 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76
From the normal distribution table, the area below the test z score in the left tail 0.039
Thus
p = 0.039
You would go to Neptune, Uranus, Saturn, Jupiter, Mars, Earth (to refuel), Mercury, Venus