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Klio2033 [76]
3 years ago
11

Simplify the following​

Mathematics
2 answers:
TEA [102]3 years ago
7 0
Bdhdjebbsjwbdnsjbsbrhbee dev
Naddika [18.5K]3 years ago
6 0

Answer:

2^10 = 1024

Step-by-step explanation:

2⁷ × 2³

{2}^{ 7 + 3}

{2}^{10}

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

= 1024

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Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail inste
Vladimir [108]

Answer:

The value of t test statistics is 5.9028.

We conclude that the true mean is greater than 10 at the .01 level of significance.

Step-by-step explanation:

We are given that a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead.

The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages.

<em />

<em>Let </em>\mu<em> = true mean transmission of pages.</em>

So, Null Hypothesis, H_0 : \mu \leq 10 pages     {means that the true mean is smaller than or equal to 10}

Alternate Hypothesis, H_A : \mu > 10 pages     {means that the true mean is greater than 10}

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

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

where, \bar X = sample mean = 14.44 pages

            s = sample standard deviation = 4.45 pages

            n = sample of fax transmissions = 35

So, <u><em>test statistics</em></u>  =  \frac{14.44-10}{\frac{4.45}{\sqrt{35} } }  ~ t_3_4  

                               =  5.9028

(a) The value of t test statistics is 5.9028.

Now, at 0.01 significance level the z table gives critical values of 2.441 at 34 degree of freedom for right-tailed test.

<em>Since our test statistics is more than the critical values of z as 5.9028 > 2.441, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis.</u></em>

Therefore, we conclude that the true mean is greater than 10.

(b) Now, P-value of the test statistics is given by the following formula;

               P-value = P( t_3_4 > 5.9028) = Less than 0.05%    {using t table)

7 0
3 years ago
2/3 gas tank cuts 3 lawns how many does 1 gas tank cut
postnew [5]
(2/3) / 3 = 1/x...2/3 to 3 lawns = 1 to x lawns
cross multiply
(2/3)(x) = (3)(1)
2/3x = 3
x = 3 * 3/2
x = 9/2 or 4 1/2 lawns can be cut with a full tank of gas
8 0
3 years ago
zach is 23 years old. Zach's age is 3 years older than twice Maya's age. Let m represent Maya's age. What equation can be used t
PolarNik [594]
2m+3=23
2m=20
m=10
let me know in the comments if you need further explanation :)
5 0
3 years ago
Determine the sign of the some of negative 8 + 11
AVprozaik [17]

Answer:

positive 3

Step-by-step explanation:

-8 + 11 is 3. the other way you can think of it is by subtracting 8 from 11.

8 0
3 years ago
Read 2 more answers
please help me answer these 3 questions correctly . u will get 30 pints if you do and the brainlest. please do not answer if you
stira [4]

Answer:

1

1

3

Step-by-step explanation:

6 0
2 years ago
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