The ingredients given are for 4 dozen cookies; however, Christian only want to make one dozen, meaning he requires only 1/4 the ingredients.
1/4 of 2 1/4 cups of while sugar is found the following way.
First, we write 2 1/4 as an improper fraction
1/4 of this is
Hence, Christian requires 9/16 cups of white sugar.
Similarly, the 1/4 of 3/4 cups of brown sugar is
Hence, Chrisitan requires 3/16 cups of brown sugar.
Therefore, the total cups of sugar required is the sum of
3/4 cups of sugar.
answer:
we reject null and conclude that this manufacturers claim is false
Step-by-step explanation:
p = 30% = 0.30
p^ = 93/150 = 0.62
we state the hypothesis
H0: p = 0.30
h1: p not equal to 0.30
we find the z test stattistics
z = 8.5538
at alpha = 0.05
z-critical = Z₀.₀₅/₂ = Z₀.₀₂₅
= 1.96
we compare z critical with the test statistic
z statistic > z critical so we have to reject H₀ and conclude that the manufacturers claim is not valid at 0.05 level of significance.
the equation is - tan2 x + sec2 x = 1.
Left hand side identity : - tan2 x + sec2 x.
Trigonometric function : tan x = sin x / cos x,
Reciprocal identity : sec x = 1/cos x.
- tan2 x + sec2 x = - (sin x/cos x)2 + (1/cos x)2
= - sin2 x/cos2 x + 1/cos2 x
= (1 - sin2 x)/cos2 x
Pythagorean identity : sin2 x + cos2 x = 1 .
= cos2 x / cos2 x
= 1
Answer:
Between 8 and 10 years of age
Step-by-step explanation:
You look at the graph and see that the cluster in the graph is in between the ages of 8 and 10.
