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slava [35]
3 years ago
6

What is the equivalent radical expression for the exponential expression below? 181/2

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0

Answer: Use this rule to change the term to a radical:

x

1

n

=

n

√

x

18

1

2

⇒

2

√

18

⇒

√

18

We can simplify this expression, if necessary, by using this rule for radicals:

√

a

⋅

b

=

√

a

⋅

√

b

√

18

⇒

√

9

⋅

2

⇒

√

9

⋅

√

2

⇒

3

√

2

Step-by-step explanation:

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John bought a bag of lawn fertilizer that will cover 289 square feet. What
erik [133]

Answer:

17 feet

Step-by-step explanation:

A bag of lawn fertilizer covers 289 square feet

Dimensions of the largest square plot of lawn that the bag of fertilizer will cover.

Area of a square lawn = length^2

Area of the square lawn = 289 square feet

Area of a square lawn = length^2

289 = length^2

Find the square root of both sides

√289 = √length^2

17 = length

Length = 17 feet

Dimensions of the largest square plot of lawn that the bag of fertilizer will cover = 17 feet by 17 feet

8 0
3 years ago
The sum of two numbers is 5.036. One number has a4 in the tenths place and a 7in the thousandths place. The other number has a 1
wlad13 [49]
The sum of two numbers 5.036.
first number: one number has 4 in the tenths place, 7 in the thousandths place.
=> x.4x7
2nd number: 1 in ones place and 2 in the hundredths place.
=> 1.x2x
Now, we have the 2 numbers with given clues:
=> x.4x7 + 1.x2x, where x is the missing number.
Note that in adding numbers, we start from the right most.
=>x.4x7 + 1.x2x = 5.036
=> x.4x7 + 1.x29
=> x.407 + 1.x29
=> x.407 + 1.629
=> 3.407 + 1.629
=> 5.036



8 0
3 years ago
Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi
boyakko [2]

Answer:

lower limit =0.261

upper limit =0.369

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 people that have experienced bullying

X= 63 people in the random sample that have experienced bullying

n=200 is the sample size required  

\hat p=\frac{63}{200}=0.315 represent the estimated proportion of people that have experienced bullying

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{63}{200}=0.315 represent the estimated proportion of people that they were planning to pursue a graduate degree

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 90% confidence interval the value of \alpha=1-0.90=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.64  

And replacing into the confidence interval formula we got:  

0.315 - 1.64 \sqrt{\frac{0.315(1-0.315)}{200}}=0.261  

0.315 - 1.64 \sqrt{\frac{0.315(1-0.315)}{200}}=0.369  

And the 90% confidence interval would be given (0.261;0.369).  

We are confident at 90% that the true proportion of people that they were planning to pursue a graduate degree is between (0.261;0.369).  

lower limit =0.261

upper limit =0.369

5 0
3 years ago
The dot plot below shows the number of items in the basket of some shoppers:
scoray [572]

Answer:

The correct answer is A.

Remember summetric means: made up of exactly similar parts facing each other or around an axis; symmetrical. And the peak or highest part is on the 3.

Hope it helps!!

7 0
3 years ago
Read 2 more answers
Express 24.357 in unit form
Lorico [155]
2 tens, 4 ones, 3 tenths, 5 hundredths, 7 thousandths
6 0
3 years ago
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