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2 months ago

Which of the following statements are true? Check all that apply.

1 answer:

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A. True. The presence of a significant outlier greater than the main group increases the mean, whereas a substantial outlier lower than the main group decreases it. B. False. Outliers distort the true mean's value. In cases where a trimmed mean is considered, the resulting mean may be correct. When outliers exist, using the median is advisable; for instance, the sale of expensive properties significantly affects the mean home prices, hence the term "median home price" is preferred. C. False. The standard deviation decreases because it indicates how data is spread. An outlier leads to greater spread, resulting in a higher standard deviation, which diminishes when the outlier is discarded as the data becomes more centralized. D. False. This assertion holds for normally distributed data that conforms to a bell curve and is centered around the mean; skewed distributions do not follow this principle. E. True. When data is described as "skewed to the right," it implies a large outlier extending the right-side tail more than anticipated, pulling the mean higher while leaving the median unchanged, causing the mean to exceed the median. This concept aligns with statement A. In conclusion, the true responses are A and E, therefore there are two correct answers.

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Libby sold $60 worth of vegetables at the farmer's market. Jess sold 3/4ths of what Libby sold. Stephanie sold 1/3rd of what Jes

zzz [12365]

Answer:

$120.

Step-by-step breakdown:

Libby sold $60 worth of vegetables at the farmer's market.

Jess sold 3/4 of what Libby sold, so let's calculate that: 3/4 of 60.

$\text{Jess sold}=60\times \frac{3}{4}$

$\text{Jess sold}=15\times 3$

$\text{Jess sold}=45$

Thus, Jess made $45.

Now, Stephanie sold one-third of Jess's total, necessitating the calculation of one-third of 45.

$\text{Stephanie sold}=45\times \frac{1}{3}$

$\text{Stephanie sold}=15$

This means Stephanie sold $15 worth of vegetables.

Putting together Libby's, Jess's, and Stephanie's sales, we arrive at the collective total earned by all three.

$\text{The total money earned by Libby, Jess and Stephanie}=60+45+15$

$\text{The total money earned by Libby, Jess and Stephanie}=120$

Consequently, their total sales amount to $120.

7 0

2 months ago

Read 2 more answers

Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. Circles F and J are congruent. Line segments F E and F D are radii. A line c

Zina [12379]

Answer:

The measure of arc GH is 80 degrees. $mGH=80^\circ$

Step-by-step explanation:

Circles F and J are congruent.

$\angle DFE \cong \angle GJH$

Given that: m∠DFE = 80°

Angle DFE serves as the central angle of circle F.

Arc GH's measurement corresponds with the central angle from Circle J.

Since the two circles are congruent

$mGH=\angle DFE = 80^\circ$

The measure of arc GH, therefore, is 80 degrees.

8 0

2 months ago

Read 2 more answers

A billfold holds one-dollar, five-dollar, and ten-dollar bills and has a value of $210. There are 50 bills total where the numbe

AnnZ [12381]

Answer:

25 one-dollar bills, 13 five-dollar bills, and 12 ten-dollar bills.

Step-by-step explanation:

The equations that can be formed are:

x+y+z=50 (1)

x+5y+10z=210 (2)

x= 2y-1 (3)

where x = number of one-dollar bills,[tag_20] y = number of five-dollar bills,

z = number of ten-dollar bills

Substituting (3) into (1) and (2) gives:[

2y-1+y+z= 50

3y+z=51

2y-1+5y+10z= 210

7y+10z=211

You will then derive the following equations:

3y+z=51 (4)

7y+10z=211 (5)

Next, isolate z using (4) and substitute it into (5):

z= 51-3y

7y+10(51-3y)=211

7y+510-30y=211

-23y=-299

y= 13

After substituting the value of y into z= 51-3y, we find:

z=51-3(13)= 51-39= 12

Now, replace y's value in (3):

x=2(13)-1= 26-1= 25

Thus, the final result indicates there are 25 one-dollar bills, 13 five-dollar bills, and 12 ten-dollar bills.

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2 months ago

Joshua Freeman has a family membership in his company’s health insurance plan with the benefits shown. His recent non-network he

AnnZ [12381]

The co-payment for his doctor visits totals:

10 x 18 = $180.

For his physical therapy sessions, the co-payment amounts to:

10 x 20% x 150 = $300.

When you sum both co-payments, it totals $480.

8 0

2 months ago