Find the value of the expression 12x+3 1 2 x + 3 if x = 12.

How do you spell 602,107 in word form

andrew-mc [135]

Six hundred and two thousand one hundred and seven

4 0

4 years ago

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Can someone please answer this thanks

Alex

I believe the answer is B

4 0

3 years ago

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A pharmacy claims that the average medication costs $32 but it could differ as much as $8. Write and solve an absolute value ine

gogolik [260]

<span>It looks like you're supposed to pick a combination of two answers:
an absolute-value inequality, and
a sentence describing the meaning of that inequality.

We've got two choices for each, and therefore four possible combinations of choices.

First, let's tackle the sentence description. We're told that
"it [the cost] could differ [from the average of $32] as much as $8."
That sets a maximum value for the difference; it's UP TO $8.
If the cost is less than average, it could be as little as
$32 - $8 = $24
and if the cost is more than average, it could be as much as
$32 + $8 = $40.
So the medication costs range from $24 to $40, and we want an answer that states that.

Now for the inequalities:
|x - 32| describes the SIZE of the difference. Using the absolute-value function means we don't distinguish between
x - 32
and
32 - x
as far as our interests are concerned; we eliminate the sign from the subtraction and just look at the size of the difference.

But in the case we're looking at, we've got a MAXIMUM value for the difference; it can't be more than 8. The inequality
|x - 32| ≥ 8
says the difference is 8 or MORE, so we don't want that. Instead, we want
|x - 32| ≤ 8
which says the difference is anywhere from 0 to 8.

Combining these conclusions, we see we're looking for this answer:
|x - 32| ≤ 8; The medication costs range from $24 to $40
which is the third one listed.</span>

4 0

4 years ago

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Solve x TN = 8 nV =x - 2?

AleksandrR [38]

Answer:

10

Step-by-step explanation:

STUV is a parallelogram.

TV and SU are its diagonals intersecting at point N.

Diagonals of a parallelogram bisects each other.

Therefore, TN = NV

8 = x - 2

8 + 2 = x

10 = x

x = 10

7 0

3 years ago

Next time you see an elderly man, check out his nose and ears! While most parts of the human body stop growing as we reach adult

never [62]

Answer:

a) Hypothesis:

$H_{0}$ : $\mu_{Nose}^{Male} = \mu_{Nose}^{Female}$

$H_{a}$ : $\mu_{Nose}^{Male} > \mu_{Nose}^{Female}$

Where $\mu_{Nose}^{Male}, \mu_{Nose}^{Female}$ represent the average nose size of male and female respectively.

In words,

$H_{0}$ : Males and females have the same size noses, on average.

$H_{a}$ : Males have bigger noses than females, on average.

b) We have evidence that males have bigger noses than females, on average.

Step-by-step explanation:

a) The study wishes to investigate if males have bigger noses than females, on average. By hypothesis test, the null hypothesis is the hypothesis we usually want to reject. That is, we want to prove that the male and female nose sizes are not the same. Hence, the null hypothesis will assume equality. And we state that:

$H_{0}$ : Males and females have the same size noses, on average.

$H_{a}$ : Males have bigger noses than females, on average.

b) We are told that the p-value < 0.01. In general, if the assume 5% as the level of significance ( $\alpha$ ). The decision is:

If p-value is less than the $\alpha$ , the test is significant otherwise, the test is insignificant.

The given p-value is less than 5% => 0.05, therefore, we say the test is significant. and we conclude that, we have evidence that males have bigger noses than females, on average.

6 0

4 years ago