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3 years ago

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:

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

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.

So, 90% confidence interval for the population mean, $\mu$ is ;

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

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

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

= [21.78, 21.98]

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

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3 years ago

In ΔABC, ∠A is a right angle. What is the value of y?

Bogdan [553]

Y = 7sin(30) = 3.5
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3 years ago

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50 POINTS. PLZ ANSWER RIGHT

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.

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3 years ago

*EXTRA POINTS* please answer #5 and #6

Annette [7]

Answer:

5, (0, -2)

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Step-by-step explanation:

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

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