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loris [4]
3 years ago
5

The Inverse of G(x) is a function. True or False.

Mathematics
2 answers:
cestrela7 [59]3 years ago
6 0

Answer:

false

Step-by-step explanation:

goblinko [34]3 years ago
3 0
False. 
Just like other functions as an inverse, it wouldn't make sense. Hope I helped :)
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The nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the
lora16 [44]

Answer:

We conclude that the sodium content is same as what the nutrition label states.

Step-by-step explanation:

We are given that the nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium.

The FDA randomly selects 40 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1088.64 milligrams of sodium per package with a sample standard deviation of 234.12 milligrams.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average sodium content.</em></u>

So, Null Hypothesis, H_0 : \mu = 1100 milligrams      {means that the sodium content is same as what the nutrition label states}

Alternate Hypothesis, H_A : \mu \neq 1100 milligrams      {means that the sodium content is different from what the nutrition label states}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                    T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}  ~ t_n_-_1

where, \bar X = sample average sodium content = 1088.64 milligrams

            s = sample standard deviation = 234.12 milligrams

            n = sample of packages of Oriental Spice Sauce = 40

So, <u><em>test statistics</em></u>  =  \frac{1088.64-1100}{\frac{234.12}{\sqrt{40}}}  ~ t_3_9

                              =  -0.307

The value of z test statistics is -0.307.

<em>Since, in the question we are not given the level of significance so we assume it to be 5%. </em><em>Now, at 0.05 significance level the t table gives critical values of -2.0225 and 2.0225 at 39 degree of freedom for two-tailed test.</em><em> </em>

<em>Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><em><u>we fail to reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the sodium content is same as what the nutrition label states.

3 0
4 years ago
Factors of 54 and 36 all factors correct = brainliest answer
Lilit [14]

9514 1404 393

Answer:

  54 = 2 × 3³

  36 = 2² × 3²

Step-by-step explanation:

The term "factors" can mean different things in this context. Usually, it means "prime factors." Exponents are used to indicate the number of times a factor is repeated. The prime factors of these numbers are ...

  54 = 2 × 3³

  36 = 2² × 3²

__

Sometimes, we use the word "factors" to mean "positive integer divisors." The number of divisors is the product of the exponents of the prime factors, each increased by 1. That is, 54 has (2·4) = 8 divisors; 36 has (3·3) = 9 divisors. The odd number of divisors is one indication that the number is a perfect square.

The divisors of these numbers are ...

  54 is divisible by 1, 2, 3, 6, 9, 18, 27, 54

  36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 36

5 0
3 years ago
Determine whether each of these functions from {a, b, c, d} to itself is one-to-one.
OLga [1]

Answer:

Only function (a) is one-to-one.

Step-by-step explanation:

If every element of the range of the function corresponds to exactly one element of the domain, then the function is called one-to-one.

The elements of a function are

A = {a,b,c,d}

We need to check whether f\rightarrow A\times A is one to one or not.

(a)

f (a) = b, f (b) = a, f (c) = c, f (d) = d

Here, for each value of x, there exist exactly one value of y.

Therefore, this function is one-to-one.

(b)

f (a) = b, f (b) = b, f (c) = d, f (d) = c

Here, the value of function is b for x=a and x=b. For two domains the functions has same range.

Therefore, this function is not one-to-one.

(c)

f (a) = d, f (b) = b, f (c) = c, f (d) = d

Here, the value of function is d for x=a and x=d. For two domains the functions has same range.

Therefore, this function is not one-to-one.

4 0
3 years ago
Simplify (3a) (a^-3) =
gayaneshka [121]

Answer:

3 a^(-2)

3 / a^2

Step-by-step explanation:

(3a) (a^-3)

Multiply

3 a^1 * a^-3

Since we are multiplying, we add the exponents

3 a^ ( 1-3)

3 a^(-2)

If  you are not supposed to leave a negative exponent

x^-b = 1 / x^b

3 / a^2

5 0
3 years ago
!ugshjdjhsdh sjdgjhds jsdghjhsbjhsgfhdhfgff<br><br>..
Liono4ka [1.6K]

Answer:

nehsnebekdbeibewokdjedjebejehwkdhwnejeu

6 0
3 years ago
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