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patriot [66]
2 years ago
8

Heeeelllpppp

Mathematics
2 answers:
Feliz [49]2 years ago
7 0

Answer:

11.85 ounces to 12.35 ounces

Step-by-step explanation:

A P E X

lapo4ka [179]2 years ago
7 0

Answer: 11.85 ounces to 12.35 ounces

Step-by-step explanation: A P E X

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How many extraneous solutions exist for the logarithmic equation below if it is solved in the most efficient way possible?log_(2
Nadusha1986 [10]

Answer:

No extraneous solution

Step-by-step explanation:

We have the logarithmic equation given by,

\log_{2}[\log_{2}(\sqrt{4x})]=1

i.e. \log_{2}(\sqrt{4x})=2^{1}

i.e. \sqrt{4x}=2^{2}

i.e. \sqrt{4x}=4

i.e. 4x=4^{2}

i.e. 4x=16

i.e. x=4

So, the solution of the given equation is x=4.

Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is ( 0,\infty ).

Therefore, the domain of the given function is x > 0.

We know that the extraneous solution is the solution which does  not belong to the domain.

But as x=4 belongs to the domain x > 0.

Thus, x = 4 is not an extraneous solution.

Hence, this equation does not have any extraneous solution.

7 0
3 years ago
Read 2 more answers
A window shaped like a parallelogram has an area of 30 square feet. The height of the window is 4
Viefleur [7K]

Answer:

The base of the window is 7.5 feet long.

Step-by-step explanation:

The area of a parallelogram can be found with the formula A = bh

Plug in the known values to get 30 = 4b

30 = 4b

30/4 = b

7.5 = b

8 0
3 years ago
(x^4 – x^2 – 6) ÷ (x^2 + 8)
gtnhenbr [62]

Answer:

x² - 9  Remainder 66

Step-by-step explanation:

Find the attachment below for a step by step explanation.

8 0
2 years ago
Read 2 more answers
In a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer
stira [4]

Answer:

We conclude that 80% of patients stop smoking when given sustained care.

Step-by-step explanation:

We are given that in a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer smoking after one month.

Let p = <u><em>percentage of patients stop smoking when given sustained care.</em></u>

So, Null Hypothesis, H_0 : p = 80%     {means that 80% of patients stop smoking when given sustained care}

Alternate Hypothesis, H_A : p \neq 80%     {means that different from 80% of patients stop smoking when given sustained care}

The test statistics that would be used here <u>One-sample z test for proportions</u>;

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of patients who stop smoking when given sustained care = 80.2%

           n = sample of patients = 192

So, <u><em>the test statistics</em></u>  =  \frac{0.802-0.80}{\sqrt{\frac{0.802(1-0.802)}{192} } }

                                     =  0.07

The value of z test statistics is 0.07.

<u></u>

<u>Also, P-value of the test statistics is given by the following formula;</u>

                P-value = P(Z > 0.07) = 1 - P(Z \leq 0.07)

                              = 1 - 0.52790 = 0.4721

<u>Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

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

Therefore, we conclude that 80% of patients stop smoking when given sustained care.

8 0
3 years ago
What is the coefficient of 8. 2N? Type a numerical answer in the space provided. Do not use spaces in your answer.
snow_tiger [21]

the coefficient of 8 · 2N is 16.

6 0
3 years ago
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