Answer:
the amount spend on the ribbon is $51
Step-by-step explanation:
The computation of the amount spend on the ribbon is shown below:
= Total ribbons bought × ribbon cost per meter
= 17 × $3
= $51
Hence, the amount spend on the ribbon is $51
Answer:
y=(-3/5)x
Step-by-step explanation:
5x-3y=20
-3y=-5x+20
y=(5/3)x-(20/3)
perpendicular lines have opposite reciprocal slopes
Answer: p-value of the test = 0.167
Step-by-step explanation:
Given that,
sample size n = 400
sample success X = 80
confidence = 95%
significance level = 1 - (95/100) = 0.05
This is the left tailed test .
The null and alternative hypothesis is
H₀ : p = 0.22
Hₐ : p < 0.22
P = x/n = 80/400 = 0.2
Standard deviation of proportion α = √{ (p ( 1 - p ) / n }
α = √ { ( 0.22 ( 1 - 0.22 ) / 400 }
α = √ { 0.1716 / 400 }
α = √0.000429
α = 0.0207
Test statistic
z = (p - p₀) / α
z = ( 0.2 - 0.22 ) / 0.0207
z = - 0.02 / 0.0207
z = - 0.9661
fail to reject null hypothesis.
P-value Approach
P-value = 0.167
As P-value >= 0.05, fail to reject null hypothesis.
Since test is left tailed so p-value of the test is 0.167. Since p-value is greater than 0.05 so we fail to reject the null hypothesis.
There’s no circle :/ sorry
Find the length by dividing area by breadth:
144 /6 = 24 cm
Perimeter = 2breath + 2length
Perimeter = 2(6) + 2(24)
Perimeter = 12 + 48
Perimeter = 60 cm