4. Considering any data set, which of the following changes would you expect if the standard deviation increased but all other values for the data were unchanged? No change in margin of error

Cannot be determined without knowing the precise data

Narrower margin of error

Wider margin of error

5. Considering any data set, which of the following changes would you expect if the sample mean increased but all other values for the data were unchanged?

Cannot be determined without knowing the precise data

Wider margin of error

Narrower margin of error

No change in margin of error

6. Considering any data set, which of the following changes would you expect if the confidence level were raised but all other values for the data were unchanged?

Wider margin of error

Cannot be determined without knowing the precise data

Narrower margin of error

No change in margin of error

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?

teleportation

step-by-step explanation: