Answer:
B. It is reasonable to use the? z-interval procedure in this case? since, although the sample is small? (size less than? 15), the variable under consideration is very close to being normally distributed.
Step-by-step explanation:
answer b is considered to be correct because we know that the population is normal and the standard deviation is known, which allows using the interval z, the answer A is not correct because although the option to use the interval z is given, which is correct, the large sample is not favored, the answer C and D are incorrect because they both reject the use of the z interval and in d it is further rejected that although there is a normal distribution the sample is not, which is false
Let S represent Sunaina's age.
Let T represent Tanish's age.
So 2S - T/2 = 40, 4S - T = 80.
Either S - T = 2 or T - S = 2. Let's try both cases.
Either 3S = 78 or 3S = 82.
Since 82 is not a multiple of 3, S = 26.
So Sunaina is 26 years old and Tanish is 24 years old.
$1000 - ($20 + $20) = $60
$60 / $10 = 6 paper weights
Answer:
Substitution property of equality
Step-by-step explanation:
Given
and 
Then

Required
State the property
From the list of options, (d) answers the question.
This is so because:
Substitution property of equality states that
If
then 
In other words, both can replace one another.
So if
, then 2y + 1 can be substituted for x in
So:
becomes

<em>Hence, it is substitution property of equality</em>

Explanation
Step 1
a) let

b) b value
to find the measure of side b we can use cosine function

c) angle B
to find the measure of Angle B we can use sine function

d) side a

so, the answer is

I hope this helps you