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Artemon [7]
3 years ago
14

What is the value of 4^6/4^8A. 1/1024B. 1/256C. 1/64D. 1/16​

Mathematics
2 answers:
Gnom [1K]3 years ago
8 0

Answer:

1/16

Step-by-step explanation:

We know that a^b / a^c = a^(b-c)

4^6/4^8

4^(6-8)

4^-2

We know that a^-b = 1/a^b

1/4^2

1/16

azamat3 years ago
5 0

Answer:

D

Step-by-step explanation:

Using the rule of exponents

\frac{a^{m} }{a^{n} } with n > m

= \frac{1}{a^{(n-m)} } , then

\frac{4^{6} }{4^{8} }

= \frac{1}{4^{(8-6)} }

= \frac{1}{4^{2} }

= \frac{1}{16} → D

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Boxes of raisins are labeled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is r
ZanzabumX [31]

Answer:

A 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

Step-by-step explanation:

We are given the weights, in the ounces, of a sample of 12 boxes below;

Weights (X): 21.88, 21.76, 22.14, 21.63, 21.81, 22.12, 21.97, 21.57, 21.75, 21.96, 22.20, 21.80.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

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

where, \bar X = sample mean weight = \frac{\sum X}{n} = 21.88 ounces

            s = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }  = 0.201 ounces

            n = sample of boxes = 12

            \mu = population mean weight

<em>Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.</em>

<u>So, 90% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-1.796 < t_1_1 < 1.796) = 0.90  {As the critical value of t at 11 degrees of

                                                  freedom are -1.796 & 1.796 with P = 5%}  

P(-1.796 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 1.796) = 0.90

P( -1.796 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 1.796 \times {\frac{s}{\sqrt{n} } } ) = 0.90

P( \bar X-1.796 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+1.796 \times {\frac{s}{\sqrt{n} } } ) = 0.90

<u>90% confidence interval for</u> \mu = [ \bar X-1.796 \times {\frac{s}{\sqrt{n} } } , \bar X+1.796 \times {\frac{s}{\sqrt{n} } } ]

                                        = [ 21.88-1.796 \times {\frac{0.201}{\sqrt{12} } } , 21.88+1.796 \times {\frac{0.201}{\sqrt{12} } } ]

                                        = [21.78, 21.98]

Therefore, a 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

8 0
3 years ago
In ΔABC, ∠A is a right angle. What is the value of y?
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Y = 7sin(30) = 3.5
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7 0
3 years ago
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LenKa [72]

Answer:

5 : 6 or \frac{5}{6}

Step-by-step explanation:

Given that, I make 5 quarts of tomato sauce from 6 baskets of tomatoes.

Therefore, the ratio of the number of quarts of tomato sauce to the number of the basket of tomatoes will be given by 5 : 6 in the simplest form.

If we want to express the ratio of the number of quarts of tomato sauce to the number of the basket of tomatoes in fraction form then it will be \frac{5}{6} in the simplest form. (Answer)

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Answer:

5, (0, -2)

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Step-by-step explanation:

5 0
3 years ago
Pls help quick time on this hurry only if you actually have the answer
Gemiola [76]
Answer: D 13 4/5 this is the right answer
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3 years ago
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