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vampirchik [111]
3 years ago
6

Researchers studying the sticky droplets found on spider webs will measure the widths of a random sample of droplets. From the s

ample, the researchers will construct a 95 percent confidence interval to estimate the mean width of all such droplets. Which of the following statements about a 95 percent confidence interval for the mean width is correct?
A. The interval will be narrower if the researchers increase the level of confidence to 99 percent.
B. The interval will be narrower if the researchers increase the sample size of droplets.
C. The interval will be wider if the researchers decrease the level of confidence to 90 percent.
D. The interval will be wider if the researchers increase the sample size of droplets.
E. The width of the interval will not be affected if the researchers increase or decrease the number of droplets in the sample.
Mathematics
1 answer:
ASHA 777 [7]3 years ago
7 0

Answer:

B. The interval will be narrower if the researchers increase the sample size of droplets.

Step-by-step explanation:

Margin of error of a confidence interval:

The higher the margin of error, the wider an interval is.

M = z\frac{\sigma}{\sqrt{n}}

In which z is related to the confidence level(the higher the confidence level, the higher z), \sigma is the standard deviation of the population and n is the size of the sample.

From this, we conclude that:

If we increase the confidence level, the interval will be wider.

If we increase the sample size, the interval will be narrower.

Which of the following statements about a 95 percent confidence interval for the mean width is correct?

Increasing the sample size leads to a narrower interval, so the correct answer is given by option B.

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The number 1953125 is equal to 5^9. Explain how the information above tells you that it is not a square number. I've tried the a
ddd [48]

Answer:

5^{9} can not be expressed as a square of any other number.

Step-by-step explanation:

The number 1953125 is equal to 5^{9}.

Now, the above statement gives an idea that 1953125 i.e. 5^{9} is not a square number as 9 is not a multiple of 2.

So, we can not express 5^{9} as a square of any other number.

We can only express 5^{9} as (5^{4} )^{2} \times 5.

( Answer )

5 0
3 years ago
Olivia has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 7.5 points for each
miv72 [106K]

Answer:

0 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

Reward per visit = 2.5 points

Total points needed = 105

Let, number of visits = x

So, we can calculate number of visits by using following formula,

80 + (2.5 × X) = 105

2.5X = 105 - 80

2.5X = 25

X = 25 ÷ 2.5

X = 10 visits.

Hence, Olivia needs to make 10 visits in order to earn a free movie ticket

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What type of graph is this?
murzikaleks [220]

Answer:

The graph of a quadratic equation, or a parabola, looks like a U, an upside down U, a C, or a backwards C. We can use the following rules to determine what the graph of a given quadratic equation looks like. If y = ax2 + bx + c, and a is positive, then the graph of the equation is the shape of a U.

Step-by-step explanation:

bc

5 0
3 years ago
1) 130 words in 5 mins. How many words in an hour?
FinnZ [79.3K]

Answer:

Part 1) 1,560 words

Part 2) 161 miles

Step-by-step explanation:

Part 1) 130 words in 5 mins. How many words in an hour?

Remember that

1\ hour=60\ min

so

using proportion

Find out how many words in 60 minutes (one hour)

\frac{130}{5}\ \frac{words}{min}= \frac{x}{60}\ \frac{words}{min}\\\\x=130(60)/5\\\\x=1,560\ words

Part 2) 322 miles in 2 hours. How many miles in 60 minutes?

Remember that

1\ hour=60\ min

so

2\ hours=120\ minutes

using proportion

Find out how many miles in 60 minutes

\frac{322}{120}\ \frac{miles}{min}= \frac{x}{60}\ \frac{miles}{min}\\\\x=322(60)/120\\\\x=161\ miles

8 0
3 years ago
Find the measure of the arc or angle indicated
MariettaO [177]
Short Answer: arc LM = 110°
Comment

Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case  down ) are equal. This is a fundamental fact about circles.

Equation
2x + 55 =  x + 55
the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.

Conclusion
Both angles = 55

But that's not what you are asked for.

What you are asked for
You want to know the measure of arc LM.  
The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of  arc LM

Draw a dot where the center of the circle is and call it O. Draw in <MOL 
<MOL = 2* either of the 55° = 2 (<LKM)  = 2 * 55 = 110° That's a property of the central angle.

The measure of arc LM = 110°
6 0
3 years ago
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