Two different box-filling machines are used to fill cereal boxes on the assembly line. The critical measurement influenced by these machines is the weight of the product in the machines. Engineers are quite certain that the variance of the weight of product is
σ
2
=
2
ounces. Experiments are conducted using both machines with sample sizes 100 each. The sample averages for machine A and B are
¯
x
A
=
4.5
ounces and
¯
x
B
=
4.8
ounces. Engineers seemed surprised that the two sample averages for the filling machines were so different.

a. Use the central limit theorem to determine
P
(
¯
X
B
−
¯
X
A
≥
0.3
) under the condition that
μ
A
=
μ
B
.

b. Do the aforementioned experiments seem to, in any way, strongly' support a conjecture that the two population means for the two machines are different? Explain using your answer in (a).

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation:

it would open into a square depending on the type of envelope i’m not sure about the second part

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.