Nae Maria Zaragoza 11 Practice Anment You took independent random samples of 20 students at City College and 25 sett SF State. You cach student how many sodas they drank over the course of you. The complemenn at City College was the sample standard deviation was 10. Al Suate the sample en was 90 and the sample standard deviation was is Use script of e for City College and subscriptors for State 1. Calculate a point estimate of the difference between the two population man = 20 n = 25 XI = 80 X = 90 N-12= XT-X2 = 80-90=-10 61 = 10 SI = 15 2.

(a) The initial monthly efficiency rating of the second-shift unit when the training director was hired is 92 points.

The given model E(t) = 92 - 74e^(-0.02t) represents the efficiency of the unit in terms of time (t). When the training director is first hired, t is equal to 0. Plugging in t = 0 into the equation gives us:

E(0) = 92 - 74e^(-0.02 * 0)

E(0) = 92 - 74e^0

E(0) = 92 - 74 * 1

E(0) = 92 - 74

E(0) = 18

Therefore, the initial monthly efficiency rating is 18 points.

(b) After the training director has worked with the employees for 6 months, their unit-wide monthly efficiency score will be approximately 88.18 points.

We need to find E(6) by plugging t = 6 into the given equation:

E(6) = 92 - 74e^(-0.02 * 6)

E(6) = 92 - 74e^(-0.12)

E(6) ≈ 92 - 74 * 0.887974

E(6) ≈ 92 - 65.658876

E(6) ≈ 26.341124

Rounding this value to 2 decimal places, we get approximately 26.34 points.

(c) To solve for the value of t when E(t) = 77, we can set up the equation:

77 = 92 - 74e^(-0.02t)

To isolate the exponential term, we subtract 92 from both sides:

-15 = -74e^(-0.02t)

Dividing both sides by -74:

e^(-0.02t) = 15/74

Now, take the natural logarithm (ln) of both sides:

ln(e^(-0.02t)) = ln(15/74)

Simplifying:

-0.02t = ln(15/74)

Dividing both sides by -0.02:

t ≈ ln(15/74) / -0.02

Using a calculator, we find:

t ≈ 17.76

Therefore, t is approximately equal to 17.76.

(d) Rounding t up to the next integer gives us t = 18. So, it will take the training director 18 months to help the unit increase their monthly efficiency score to over 77 points.

In part (c), we obtained a non-integer value for t, but in this context, t represents the number of months, which is typically measured in whole numbers. Therefore, we round up to the next integer, resulting in 18 months.

Learn more about non-integer :

brainly.com/question/32772033

#SPJ11

Answer: 18 inches

Step-by-step explanation:

A triangle with three equivalent angles, because of the properties of triangles, would also be an equilateral triangle. This means each side length is 6 inches. 6+6+6=18 inches.

Answer:

320,000 is the answer

Step-by-step explanation:

have a good day!!

Answer:

If your trying to answer for X, here is how you do it.

For the equation '' Y = 10x + 20 '', isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:

X =  Y/10 − 2

Or

X = \(\frac{Y}{10}\) − 2

For the other equation " Y = 20x + 10 ", it's the exact same thing. Isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:

X = Y/20 − 1/2

Or

X = \(\frac{Y}{20}\) − \(\frac{1}{2}\)

Id.k uhhhh

X = 30?

wee e wee e we

I dont got steps sorry :v

On average, students using method 1 score between 6.46 and 11.94 points higher than students using method 2.

To find the critical value for constructing the 95% confidence interval, we need to use a t-distribution since the sample sizes are relatively small and the population standard deviations are not known.

The degrees of freedom for the t-distribution can be calculated using the following formula:

df = [(s1^2/n1 + s2^2/n2)^2] / [((s1^2/n1)^2)/(n1-1) + ((s2^2/n2)^2)/(n2-1)]

where s1 and s2 are the standard deviations for method 1 and method 2, n1 and n2 are the sample sizes for method 1 and method 2, and df represents the degrees of freedom.

Substituting the given values, we get:

df = [(5.87^2/169 + 17.66^2/128)^2] / [((5.87^2/169)^2)/(169-1) + ((17.66^2/128)^2)/(128-1)]

= 249.00

Using a t-table with 249 degrees of freedom and a 95% confidence level, we find the critical value to be 1.971.

Therefore, to construct the 95% confidence interval for the true difference between testing averages for students using method 1 and students using method 2, we can use the following formula:

CI = (x1 - x2) ± t*(sqrt(s1^2/n1 + s2^2/n2))

where x1 and x2 are the sample means for method 1 and method 2, s1 and s2 are the standard deviations for method 1 and method 2, n1 and n2 are the sample sizes for method 1 and method 2, and t is the critical value we just calculated.

Substituting the given values, we get:

CI = (81.7 - 72.5) ± 1.971*(sqrt(5.87^2/169 + 17.66^2/128))

= 9.2 ± 2.74

= (6.46, 11.94)

Therefore, we can be 95% confident that the true difference between the mean testing scores for method 1 and method 2 lies between 6.46 and 11.94.

Learn more about average at: brainly.com/question/24057012

#SPJ11

Answer:

6:2

Step-by-step explanation:

Answer:6:2 I hope this is helpful

Step-by-step explanation:

6 apples to 2 mangos is 6:2

Answer:

86

Step-by-step explanation:

average is calculated as

average = \(\frac{sum}{count}\)

given her average was 70 in 3 tests , then

\(\frac{sum}{3}\) = 70 ( multiply both sides by 3 )

sum = 210

let the score she must get in test 4 be x for an average of 74 , then

\(\frac{210+x}{4}\) = 74 ( multiply both sides by 4 )

210 + x = 296 ( subtract 210 from both sides )

x = 86

she must score 86 in her next test

Answer:

\(\frac{x}{3}\)= 70

x=210

\(\frac{210+x}{4}\) = 74

210+x=74x4

210+x=296

x=296-210

x=86

Plss mark as brainliest

Answer:

7 4/6 - 5 5/6 = 1.83 or 1 5/6

Hope This Helps!

If t is the expected completion time for a given activity, then the correct formula for calculating the early finish time (EF) is EF = ES + t.

This formula adds the expected completion time to the early start time (ES) to determine when the activity is expected to finish.

The other options listed, LF = LS - t and EF = LS - t, involve subtracting the expected completion time from the late start or late finish times, which would not accurately reflect the expected completion time of the activity.

To know more about time click on below link :

https://brainly.com/question/19869274#

#SPJ11

Answer:

x=5 and y=2

Step-by-step explanation:

Let's solve your system by substitution.

3x+y=17;4x−y=18

Step: Solve 3x+y=17 for y:

3x+y=17

3x+y+−3x=17+−3x(Add -3x to both sides)

y=−3x+17

Step: Substitute−3x+17 for y in 4x−y=18:

4x−y=18

4x−(−3x+17)=18

7x−17=18(Simplify both sides of the equation)

7x−17+17=18+17(Add 17 to both sides)

7x=35

7x

7

=

35

7

(Divide both sides by 7)

x=5

Step: Substitute 5 for x in y=−3x+17:

y=−3x+17

y=(−3)(5)+17

y=2(Simplify both sides of the equation)

Answer:

c=27

Step-by-step explanation:

quotient: the answer to division

c/3=9

c=9•3

c=27

Answer:

97.5

Step-by-step explanation:

33 + 5/4(2) +12+17

34.25(2) +12+17

68.5 + 12 + 17

80.5 + 17

97.5

Answer:

(x,y) —> (–1 ,1)

I hope I helped you ^_^

The radius of the cone is 3 times the radius of the cylinder, given that they have equal volumes and radii of equal length.

The height of the cylinder is also 24 centimeters since the radii are equal.

To find the volume of the cylinder, use the formula V = πr^2h, where r is the radius and h is the height.

To find the volume of the cone, use the formula V = (1/3)πr^2h, where r is the radius and h is the height.

Since the volumes are equal, you can set up the equation (1/3)πr^2(24) = πr^2(24) and solve for r.

Simplifying the equation, you get (1/3) = 1.

This means that the radius of the cone is 3 times the radius of the cylinder.

Therefore, the radius of the cone is 3 times the radius of the cylinder, given that they have equal volumes and radii of equal length.
To know more about cone visit:

https://brainly.com/question/29767724

#SPJ11

Answer:

6+

Step-by-step explanation:

Answer:

the correct answer for that would be identity property

Answer:

first one

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

2/5=.4

4/8=.8

.4 is smaller than .8

Answer:

C

Step-by-step explanation:

2/5= 0.4

1/10= 0.1

4/5= 0.8

The simplified expression of (x^2)^3 + (x^3)^2 is x^18 + x^6. Exponent rules are an essential tool for simplifying expressions with exponents.

To simplify this expression, we need to apply the exponent rules. The first term, (x^2)^3, can be simplified by raising x^2 to the power of 3, resulting in x^6. The second term, (x^3)^2, can be simplified by raising x^3 to the power of 2, resulting in x^6. Therefore, the simplified expression becomes x^6 + x^18.

Exponent rules are an essential tool for simplifying expressions with exponents. When we have an exponent raised to another exponent, we multiply the exponents. In the first term, (x^2)^3 means that we need to multiply the exponent 2 by 3, giving us x^6. Similarly, in the second term, (x^3)^2 means that we need to multiply the exponent 3 by 2, giving us x^6 again.

Finally, we add the two terms, resulting in x^6 + x^18. This expression cannot be further simplified as there are no like terms that can be combined.

Learn more about expression here

https://brainly.com/question/723406

#SPJ11

14: a

1

=

39

/2                              0.25               313%        16%

15:     54

The area of the shaded region is approximately 20.372. So, the correct answer is C).

The non-shaded region is a semicircle with radius 1 and center at the origin, bounded by the lines x = -5 and x = 5. Its area is

A = (1/2)π(1)² = π/2

We can find the area of the shaded region by subtracting the area of the semicircle from the total area of the rectangle bounded by x = -7, x = 7, and y = 2. The length of the rectangle is 14 and the height is 2, so its area is

A_rect = 14 × 2 = 28

Subtracting the area of the semicircle, we get:

A_shaded = A_rect - A = 28 - π/2 ≈ 20.372

Therefore, the answer is (C) 20.372.

To know more about graph:

https://brainly.com/question/30211849

#SPJ4

--The given question is incomplete, the complete question is given below " The shaded region in the figure above is bounded by the graph of y=

cos( πx/10) and the lines x=−7 and x=7, and y=2. the graph of y = cos(πx/10) will bounded horizontally by the line y = 2 for any value of x. Therefore, the shaded region is bounded by the lines vertically x = -7 and x = 7 and the x-axis. Area of the non shaded region is is semicircle from x =5 to x=-5. and y = 1. What is the area of this region?| (A) 6.372 (B) 7.628 (C) 20.372 (D) 21.634"--

The measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees

Isosceles triangles are triangles that have their base angles to be equal. From the given diagram;

m<BAC = 18 degrees

m<BDC = 48 degrees

Required angle

m<ABD

From the diagram, m<DAB = m<BAC = 18 degrees

Also, m<ADC + m<ACD + m<DAC = 180

Since triangles ACD is isosceles, hence m<ADC = m<ACD. The expression above becomes

m<ADC + m<ADC + m<DAC = 180

2m<ADC + m<DAC = 180

2m<ADC  = 180 - 36

2m<ADC = 144

m<ADC = 144/2

m<ADC = 72 degrees

This means that m<ADB = 72 - m<BDC

m<ADB = 72 - 48

m<ADB = 24 degrees

Get the required angle ABD

From triangle ADB, m<ABD + m<ADB + m<DAB = 180

m<ABD + 24 + 18 = 180

m<ABD + 42 = 180

m<ABD = 180 - 42

m<ABD = 138 degrees

Hence the measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees.

Learn more here: https://brainly.com/question/16090132

Therefore, the volume of the solid generated by revolving the region bounded by y= x2, y = 0, and x = 2 about the x-axis is 16.

To find the volume of the solid generated by revolving the region bounded by y=x^2, y=0, and x=2 about the x-axis, we will use the method of cylindrical shells.
First, let'sgraph the region to better visualize it.
graph{y=x^2 [-10, 10, -5, 5]}

The region is bounded by the x-axis, the line x=2, and the curve y=x^2. When we revolve this region about the x-axis, we will generate a solid with a cylindrical shape. To find the volume of this solid, we will slice it into thin cylindrical shells and add up the volumes of each shell.
Let's consider a thin slice of the region at x. The height of this slice will be given by the curve y=x^2, and the thickness of the slice will be dx. When we revolve this slice about the x-axis, it will generate a cylindrical shell with radius x and height x^2. The volume of this shell can be calculated using the formula for the volume of a cylinder:

V = 2πrxh

where r is the radius of the cylinder, h is its height, and π is the constant pi. In this case, we have r = x and h = x^2, so
V = 2πx(x^2)
V = 2πx^3
To find the total volume of the solid, we need to add up the volumes of all these cylindrical shells from x=0 to x=2:
V = ∫(0 to 2) 2πx^3 dx
V = πx^4 |(0 to 2)
V = π(2^4 - 0^4)
V = 16π
Therefore, the volume of the solid generated by revolving the region bounded by y=x^2, y=0, and x=2 about the x-axis is 16π.

To know more about volume visit:-

https://brainly.com/question/1578538

#SPJ11

The new function after applying the sequence of transformation include: B. 1/2f(x + 5) - 11

In Mathematics and Geometry, the translation of a graph to the left means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x + N)

Conversely, the translation of a graph downward means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) - N

Since the parent function f(x) was translated 11 units downward, 5 units to the left, and vertically compressed (making it wider) by a factor of 1/2, the equation of the image g(x), we have:

g(x) = 1/2f(x + 5) - 11

Read more on function and translation here: brainly.com/question/31559256

#SPJ1

Complete Question:

If f(x) is transformed by compressing the function vertically (making it wider) by a factor of 1/2, shifting 5 units to the left, and shifting 11 units downward, what will be the new function?

Answer47.3%

Step-by-step explanation:

Answer:

47.3684211%

Step-by-step explanation:

caulculater

The reciprocal lattice vectors for the given hexagonal space lattice are b₁ = πcŷ, b₂ = π(3√3cz/2)ŷ, and b₃ = π((3√3a²/2) + (a²/2) - (3√3ca/2)x). The interplanar distance, denoted as d, can be calculated using the formula d = 1/|b₃|, but since the value of x is not provided, the specific interplanar

(a) The reciprocal lattice vectors can be found using the formula:

b₁ = (2π/a) (a₂ × a₃)

b₂ = (2π/a) (a₃ × a₁)

b₃ = (2π/a) (a₁ × a₂)

where a₁, a₂, and a₃ are the primitive translation vectors of the hexagonal space lattice.

Substituting the given values, we have:

a₁ = (3√3a/2) + (a/2)ŷ

a₂ = -(3√3a/2) + (a/2)ŷ

a₃ = cz

Calculating the cross products, we find:

a₂ × a₃ = -((3√3a/2) + (a/2)ŷ) × (cz) = (ac/2)ŷ

a₃ × a₁ = (cz) × ((3√3a/2) + (a/2)ŷ) = (3√3acz/2)ŷ

a₁ × a₂ = ((3√3a/2) + (a/2)ŷ) × (-(3√3a/2) + (a/2)ŷ) = (3√3a²/2) + (a²/2) - (3√3ca/2)x

Finally, we can calculate the reciprocal lattice vectors:

b₁ = (2π/a) (a₂ × a₃) = (2π/a) (ac/2)ŷ = πcŷ

b₂ = (2π/a) (a₃ × a₁) = (2π/a) (3√3acz/2)ŷ = π(3√3cz/2)ŷ

b₃ = (2π/a) (a₁ × a₂) = (2π/a) ((3√3a²/2) + (a²/2) - (3√3ca/2)x) = π((3√3a²/2) + (a²/2) - (3√3ca/2)x)

Therefore, the reciprocal lattice vectors are b₁ = πcŷ, b₂ = π(3√3cz/2)ŷ, and b₃ = π((3√3a²/2) + (a²/2) - (3√3ca/2)x).

(b) The interplanar distance, denoted as d, can be calculated using the formula:

d = 1/|b₃|

Substituting the value of b₃, we have:

d = 1/π((3√3a²/2) + (a²/2) - (3√3ca/2)x)

Note that the value of x is not provided, so we cannot calculate the specific interplanar distance without knowing the value of x.

distance cannot be determined without that information.

To know more about lattice, visit

https://brainly.com/question/30615419

#SPJ11

The prices for the train ticket from Bristol to London are given as follows:

The prices are obtained applying the proportions in the context of the problem.

Considering the 2019 price as x, the 2020 price is given as follows:

1.035x.

The difference was of 2.80, hence the 2019 price is given as follows:

1.035x - x = 2.8

x = 2.8/0.035

x = 80.

The 2020 price is given as follows:

80 + 2.8 = 82.8.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The other factor of the expression a^2 + 7a + 10 when binomial (a + 5) is a factor is (a + 2). So, the correct answer is A).

Given that binomial (a + 5) is a factor of a2 + 7a + 10, we can use polynomial division to find the other factor.

(a2 + 7a + 10) ÷ (a + 5) = a + 2

So the other factor is (a + 2). We can verify this by multiplying (a + 5) and (a + 2) to get:

(a + 5)(a + 2) = a2 + 7a + 10

Therefore, the answer is option (a) (a + 2).

To know more about binomial:

https://brainly.com/question/13870395

#SPJ4

m∠E = tan-1(3/4.6)

Explanation