1) Firstly, let's set a proportion to find out how mny cups of almonds are needed.
muffins cups of almonds
6 3/4
12 x
2)
Cross multiplying it:
6x = 12 * 3/4
6x = 9
x= 9/6
3
Answer:
Step-by-step explanation:
Given that sample size is 130 >30. Also by central limit theorem, we know that mean (here proportion) of all means of different samples would tend to become normal with mean = average of all means(here proportions)
Hence we can assume normality assumptions here.
Proportion sample given = 92/130 = 0.7077
The mean proportion of different samples for large sample size will follow normal with mean = sample proportion and std error = square root of p(1-p)/n
Hence mean proportion p= 0.7077
q = 1-p =0.2923
Std error = 0.0399
For 95% confidence interval we find that z critical for 95% two tailed is 1,.96
Hence margin of error = + or - 1.96(std error)
= 0.0782
Confidence interval = (p-margin of error, p+margin of error)
= (0.7077-0.0782,0.7077+0.0782)
=(0.6295, 0.7859)
We are 95% confident that average of sample proportions of different samples would lie within these values in the interval for large sample sizes.
Similar shapes may or may not be congruent.
The value of x is (a) 9.0
The corresponding sides are:
- AB and DE
- BC and EF
- AC and DF
The side lengths are:
Because the shapes are congruent, and AC corresponds to DF.
This means that:
So, we have:
Collect like terms
Divide both sides by 5
<em>Hence, the correct option is (a) 9.0</em>
Read more about congruent triangles at:
brainly.com/question/12413243
