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deff fn [24]
3 years ago
14

K\3 +21=27 how do I solve this equation? can someone help me

Mathematics
1 answer:
Natalija [7]3 years ago
6 0
K/3 +21 = 27
subtract 21 from both sides...
k/3 = 48
now multiply 48 and 3 to find k...
48 x 3 = 144
k=144
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What is the value of y
pashok25 [27]

y = 3

The opposite sides of a rectangle are equal thus

2y + 4 = 10

subtract 4 from both sides

2y = 10 - 4 = 6

divide both sides by 2

y = \frac{6}{2} = 3


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3. How much time does it take for a bird flying at a speed of 45 kilometers per hour to travel a
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A poll was taken of 1000 residents in county. The residents sampled were asked whether they think their local government did a g
prohojiy [21]

Answer:

a) (0.72, 0.78)

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Description in words of the parameter p

p represent the real population proportion of all residents in that county who think their local government did a good job

\hat p represent the estimated proportion of all residents in that county who think their local government did a good job

n=1000 is the sample size required  

z_{\alpha/2} represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Numerical estimate for p

In order to estimate a proportion we use this formula:

\hat p =\frac{X}{n} where X represent the number of people with a characteristic and n the total sample size selected.

\hat p=\frac{750}{1000}=0.75 represent the estimated proportion of all residents in that county who think their local government did a good job

Confidence interval

The confidence interval for a proportion is given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96  

And replacing into the confidence interval formula we got:  

0.750 - 1.96 \sqrt{\frac{0.75(1-0.75)}{1000}}=0.72  

0.750 + 1.96 \sqrt{\frac{0.75(1-0.75)}{1000}}=0.78  

And the 95% confidence interval would be given (0.72;0.78).  

We are confident at 95% that the true proportion of people who think their local government did a good job is between (0.72;0.78).

a) (0.72, 0.78)

3 0
3 years ago
=
timofeeve [1]

Answer:

3x+4

Step-by-step explanation:

f(g(x))=3(x+2)-2

=3x+6-2

=3x+4

6 0
3 years ago
Read 2 more answers
A gambler in Las Vegas is cutting a deck of cards for $1,000. What is the probability that the card for the gambler will be the
White raven [17]

Answer:

a. 3/13 or 23.08%

b. 1/13 or 7.69%

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Step-by-step explanation:

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There are 4 queens in the deck, on of each suit, thus the probability of getting a queen is:

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P_{S} =\frac{1}{4}

d. A jack of spades

Since there are no repeated cards, there is only one jack of spades in a 52 cards deck:

P_{J+S} =\frac{1}{52}

5 0
3 years ago
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