A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf greek students have in a one week period. we know from preliminary studies that the standard deviation is around 6.3. how many students should be sampled to be within 0.5 drink of population mean with 95% probability?

The perimeter of the semicircular window with a radius of 20cm is the nearest tenth would be 63 cm.

What is the perimeter of the semicircle?

The perimeter of a semicircle is the total length of the curved boundary of the semicircle, which is half the circumference of the circle with the same radius. The formula for the circumference of a circle with radius r is 2πr, so the formula for the perimeter of a semicircle with radius r is:

Perimeter of semicircle = (1/2) x 2πr + 2r

= πr + 2r

= (π + 2)r

To find the perimeter of a semicircular window with a radius of 20cm, we can substitute r = 20 into the formula:

Perimeter of semicircle = (π + 2) x 20

= (3.14159 + 2) x 20

= 62.8318 cm (rounded to 4 decimal places)

Therefore, the perimeter of the semicircular window with a radius of 20cm is approximately 62.8318 cm.

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Answer:

The researcher is using the Experiment method

Step-by-step explanation:

Plato

Answer:

Experiment

Step-by-step explanation:

PLATO/Edmentum

I GOT IT RIGHT!!!

The equivalent effective rate per year would be approximately 3.7%.

To determine the number of times interest would be compounded in one year, we need to convert the interest rate from a decimal to a percentage. In this case, the interest rate is 3.6% per annum.
The number of compounding periods per year can be calculated using the formula:
Number of compounding periods = 100 / interest rate
Using this formula, we have:
Number of compounding periods = 100 / 3.6
Number of compounding periods = 27.78

Since we cannot have a fractional number of compounding periods, we would round this value to the nearest whole number. Therefore, the interest would be compounded 28 times in one year.
To calculate the equivalent effective rate per year, we need to use the formula:
Effective Rate = (1 + (interest rate / number of compounding periods))^number of compounding periods - 1
Plugging in the values, we get:
Effective Rate = (1 + (0.036 / 28))^28 - 1
Effective Rate ≈ 0.037 or 3.7%

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Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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The solutions to the given algebraic expressions are;

1) 3x + 4 = 7x - 8; Letter C

2) 2x = 7x - 5; Letter E

3) 5x - 8 = 5x + 12; Letter D

1) We are given the algebraic expression as;

3x + 4 = 7x - 8

Add 8 to both sides to get;

3x + 12 = 7x

Subtract 3x from both sides to get;

12 = 4x

divide both sides by 4 to get;

x = 3

2) 2x = 7x - 5

Add 5 to both sides to get;

2x + 5 = 7x

Subtract 2x from both sides to get;

5x = 5

divide both sides by 5 to get;

x = 1

3) 5x - 8 = 5x + 12

Subtract 5x from both sides gives;

-8 = 12

Thus, no solution

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The probability that Yasmin will not be offered a coupon on at least one of the days she visits the website will be;

⇒ 0.9375

The term probability refers to the likelihood of an event occurring

Given that;

The probability that a visitor is offered a coupon (p) = 50%

Now,

Since, The probability that a visitor is offered a coupon (p) = 50%

Hence, The probability that he gets coupon all 4 days is,

⇒ p (4) = p⁴

⇒ p (4) = (50%)⁴

⇒ p (4) = 0.0625

Hence, By using the complement rule, the probability that he is not offered a coupon at least one day is,

⇒ p' = 1 - 0.0625

⇒ p' = 0.9375

Thus, The probability that Yasmin will not be offered a coupon on at least one of the days she visits the website = 0.9375

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Answer:

B. \(27.5\)%

Step-by-step explanation:

Percentage = \(\frac{Students\ who\ prefer\ hot\ dogs}{Total\ students} \times 100= \frac{55}{200} \times 100=27.5%\)%

Answer:

40 Operators

Step-by-step explanation:

if 10 operators worked on 120 pages for 2 hours

P operators will work on the same pages for 30min

note: 2hrs= 120min

10×120min/120= P × 30/120

P= 10×120×120/120×30

P = 40 operators

Answer:

∠ACB ≅ ∠AGB

Step-by-step explanation:

AAS Postulate is angle-angle-side, which means that both triangles are congruent if 2 angles and a side are congruent.

Angle ACB is congruent to angle AGB

∠ACB ≅ ∠AGB

AAS Postulate is angle-angle-side, which means that both triangles are congruent if 2 angles and a side are congruent.

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Congruent shapes are shapes that are precisely the same. The corresponding sides are the same and the corresponding angles are the same. To do this we need to check all the angles and all the sides of the shapes.

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The information provided, "35% of US senators voted for a particular motion," is a statistic.

A statistic is a numerical measure or characteristic that describes a sample from a larger population. In this case, the sample refers to the US senators who participated in the vote, and the statistic is the percentage (35%) of those senators who voted for the motion. The key aspect that identifies this information as a statistic is that it is based on a subset of the entire population (US senators) and provides a measure of a specific event or attribute within that subset.

In contrast, a parameter is a numerical measure or characteristic that describes a population as a whole. It represents the true value for the entire population, but it is often unknown or impractical to obtain. Parameters are typically inferred from statistics. In this case, if we were referring to the percentage of all US senators who voted for the motion, it would be a parameter since it would describe the population as a whole.

To summarize, the statement "35% of US senators voted for a particular motion" is a statistic because it represents a numerical measure derived from a sample (subset) of US senators who participated in the vote.

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Step-by-step explanation:

Objective: Circle Theorems

The arcs add up to 360 and they are in proportion so

\(3x + 3x + 4x + 5x = 360\)

\(15x = 360\)

\(x = 24\)

So this means that Arc AB and BC measure is 72 each. Arc CD measure is 96 and Arc DA measures is 120.

Angle 1 measure is a inscribed angle of Arc CD.

So it measures

\( \frac{96}{2} = 48\)

Angle 2 is a inscribed angle of Arc AB so it measures

\( \frac{72}{2} = 36\)

Angle 3 is a inscribed angle of Arc DA.

\( \frac{120}{2} = 60\)

Angle 4 is a inscribed angle of Arc BC so it measures

\( \frac{72}{2} = 36\)

Angle 5 is formed by tangent line ED. Since D lies on the circumference, it also is tangent to point e so it also measures 90 degrees.

Angle 4 measures 32 so Angle 5 is it complement to Angle 4.

\(32 + x = 90\)

\(x = 58\)

Angle 6 is formed by two intersecting chrods

so it measures

\( \frac{1}{2} (120+ 72) = 96\)

The given algebraic expression when solved to the nearest tenth is 5.6

2.7 - 6.8x = - 6.8 - 5.1x

collect like terms

2.7 + 6.8 = -5.1x + 6.8x

9.5 = 1.7x

divide both sides by 1.7

x = 9.5/1.7

x = 5.6

Therefore, the algebraic expression is given by x = 5.6

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Answer:

See below

Step-by-step explanation:

Answer:

I thinkkk Roses -11 feet per min and Lucy is 10 feet per min

Step-by-step explanation:

Answer:

12.5ft

Step-by-step explanation:

Set up a ratio of \(\frac{1}{1.25}\)×\(\frac{10}{x}\) and cross multiply. So 10 multiplied by 1.25 equals 12.5 and then you divide by 1 so the answer is 12.5ft.

Answer:

2.42

Step-by-step explanation:

First, we need to find the mean

Add up all the number

1+6+5+8+3+7+1+4+10+9 = 54

Count up all the numbers (found in data)

10

Then, divide

54/10 = 5.4

Then find the absolute difference between each point and the mean and sum them together  and divide by the number of points

((5.4-1)+(5.4-6)+(5.4-5)+(8-5.4)+(5.4-3)+(7-5.4)+(5.4-1)+(5.4-4)+(10-5.4)+(5.3-9)) ÷ 10

24.2 ÷ 10 = 2.42

2.42

Answer:

2.42

Step-by-step explanation:

Answer:

...................

Answer:3√5

Step-by-step explanation:

√ 45 = 3√5. Therefore, the square root of 45 in radical form is 3√5. Square Root of 45 in Radical Form: 3√5.

Answer:

The answer is 3√5

Control charts are used to monitor and identify when a process is out of control. There are several situations that indicate an out-of-control process, and these can be recognized on a control chart. Here are five such situations:

A point falls outside the control limits: If a data point falls above the upper control limit or below the lower control limit, it indicates that the process is out of control. This suggests that there may be a significant change or variation in the process.

Nonrandom patterns: Nonrandom patterns in the data points on a control chart, such as a consistent upward or downward trend, cycles, or oscillations, suggest that the process is not stable. These patterns indicate the presence of special causes of variation.

Runs and streaks: A run or streak refers to a series of consecutive data points that are either above or below the central line on the control chart. Runs or streaks suggest a lack of randomness and indicate that the process is not in control.

Lack of points within control limits: If there are long stretches of data points that are consistently clustered near one control limit or the central line without points within the control limits, it suggests that the process is not stable and may be exhibiting a systematic bias or shift.

Excessive variation: If there is excessive variation in the data points on the control chart, indicated by a wide spread of points around the central line, it suggests that the process is not under control. This can be recognized when the data points exceed the expected range of variation. These situations provide clear indications that a process is out of control and requires investigation and corrective actions to address the underlying causes of the variations. Control charts help in quickly identifying these situations and facilitating timely interventions to maintain process stability and quality.

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Answer:

36° and 54°

Step-by-step explanation:

Let one of the acute angle be "x"

We are told that the other acute angle is 1.5 times the other angle = 1.5x

The right angle = 90°

Find the value of x:

Therefore:

90 + 1.5x + x = 180 (sum of interior angles of triangle)

Add like terms

90 + 2.5x = 180

2.5x = 180 - 90

2.5x = 90

x = 90/2.5

x = 36° (one acute angle)

✔️Second acute angle = 1.5x

Plug in the value of x

= 1.5(36)

= 54°

12.

13.

No correlation

The pair "age and commute distance for all nurses working at a suburban hospital" is likely to have no correlation.What is correlation?The correlation coefficient is a statistical measure that measures the strength of a connection between two variables. Correlation varies between -1 and +1, with 0 indicating no correlation, -1 indicating a negative correlation, and +1 indicating a positive correlation.A positive correlation exists when one variable rises in value as the other increases in value. When one variable decreases as the other increases, a negative correlation exists. Finally, when there is no correlation between the two variables, they are not connected.Answer: b. no correlation

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Answer:

h(x) is the NEGATIVE of g(x)

Step-by-step explanation:

Where are the statements?  Please share them next time.

h(x) is the NEGATIVE of g(x):  h(x) = -x^2 = -g(x)

Answer:

D. 0.366

Step-by-step explanation:

Hello!

A stemplot is a way of arranging a data set.

In the stem you'll find the integer and first two decimal digits of the batting average, because these values are repeated several times.

In the leafs you'll find the third decimal digit.

So for the first value of the stem "0.32" there is only one observation:

0.329 ⇒  0.32 | 9

For the second value "0.33" correspond 14 observations: 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336,  0.337, 0.338, 0.338, 0.338

0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8

For the third value "0.34" correspond 12 observations: 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342,  0.344, 0.344, 0.345, 0.346, 0.349

0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9

For the fifth value "0.35" and the sixth value "0.36" there is only one observation, so, as happened with the first one, these values of the stem will only have one "leaf"

0.358 ⇒ 0.35 | 8

0.366 ⇒ 0.36 | 6

So the whole stem plot for this 30 observations is:

Stem | Leafs

0.32  | 9

0.33  | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8

0.34  | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9

0.35  | 8

0.36  | 6

Considering this, the correct option is D

I hope this helps!

A leather coat costs $120 and the sales tax is 7.25%. What is the TOTAL cost of the coat?

We need to take 7.25% out of 120.

\(7.25%\) of \(120 = 8.7\)

Now add the cost, and the tax.

\(120 + 8.7 = 128.7\)

Put into currency form.

$\(128.70\)

Final answer, 128 dollars, and 70 cents.