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3 years ago

Choose the word pair that would best complete this analogy.

Mathematics

2 answers:

aev [14]3 years ago

8 0

Noise : Racket
because the analogy is similar to each other and this one both mean the same thing.

NeX [460]3 years ago

6 0

Another word for noise is racket so the first option would be the correct answer. Hope this helps you!

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The solution set of which of the following equations is

Airida [17]

$F.\ |x+3|=5\\\\because:\\\\|x+3|=5\iff x+3=5\ \vee\ x+3=-5\\\\x=5-3\ \vee\ x=-5-3\\\\x=2\ \vee\ x=-8\\\\|-3-2|=|-5|=5\\|-3-(-8)|=|-3+8|=|5|=5$

7 0

3 years ago

A collection of 5 positive integers has mean 4.4, unique mode 3 and median 4. If an 8 is added to the collection, what is the ne

Sphinxa [80]

9514 1404 393

Answer:

4.5

Step-by-step explanation:

It appears the 5 integers must be {3, 3, 4, 5, 7}.

For the mode to be unique, there must be more than one '3', and there cannot be any other repeated numbers. For 4 to be the median, it must be the 3rd-highest number. Then the remaining numbers must be integers greater than 4 with a sum of 12 for the mean to be 4.4.

When 8 is added to the collection, the median is now the average of 4 and 5, so is 4.5.

The new median is 4.5.

_____

Comment on vocabulary

mean: the sum of numbers divided by the number of numbers. 5 numbers with a mean of 4.4 will have a sum of 5×4.4 = 22.

median: the middle number of a collection of an odd number of numbers, when sorted from lowest to highest. It is the 3rd number of a group of 5 numbers. When there are an even number of numbers in the group, the median is the average of the middle two in the sorted list. Here, that means the 3rd number in the list of 5 is '4'. When 8 is added, 4 becomes one of the numbers contributing to the average that will be the new median.

mode: the member of the group that appears the most times. When the mode is unique, it means there are no other numbers repeated as often. Here, we know the 3rd number (of 5) is 4, so there can only be two numbers '3' in the collection. That 3 is the unique mode means no other numbers are repeated at all.

8 0

3 years ago

Find the two square roots of the number 169

Mazyrski [523]

One root belonged to an old tree next to the road, and the other is part of a small tree.

4 0

3 years ago

A sample survey is designed to estimate the proportion of sports utility vehicles being driven in the state of California. A ran

mart [117]

Answer:

a) The 95% confidence interval would be given (0.070;0.121).

b) "increase the sample size n"

"decrease za/2 by decreasing the confidence"

Step-by-step explanation:

Notation and definitions

$X=48$ number of vehicles classified as sports utility.

$n=500$ random sample taken

$\hat p=\frac{48}{500}=0.096$ estimated proportion of vehicles classified as sports utility vehicles.

$p$ true population proportion of vehicles classified as sports utility vehicles.

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".

The population proportion have the following distribution

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

(a) Use a 95% confidence interval to estimate the proportion of sports utility vehicles in California. (Round your answers to three decimal places.)

The confidence interval would be 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 $\alpha=1-0.5=0.05$ 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:

$0.096 - 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.070$

$0.096 + 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.121$

And the 95% confidence interval would be given (0.070;0.121).

We are confident (95%) that about 7.0% to 12.1% of vehicles in California are classified as sports utility .

(b) How can you estimate the proportion of sports utility vehicles in California with a higher degree of accuracy? (HINT: There are two answers. Select all that apply.)

For this case we just have two ways to increase the accuracy one is "increase the sample size n" since if we have a larger sample size the estimation would be more accurate. And the other possibility is "decrease za/2 by decreasing the confidence" because if we decrease the confidence level the interval would be narrower and accurate

7 0

3 years ago

Simplify: sqrt .49x^18 where x <0

Monica [59]

Thanks gggghghhhhhhhhhhh

3 0

3 years ago