23. the graphs of the sampling distributions, i and ii, of the sample mean of the same random variable for samples of two different sizes are shown below. which of the following statements must be true about the sample sizes?

Answer:

56 of them were rookies.

Step-by-step explanation:

Let x = the number of rookies; y = the number of veterans.

We have the total number of people:

x + y = 252 (1)

The ratio x/y = 2/7 is equal to:

7x = 2y, so x = 2y/7

Substituting x into (1):

2y/7 + y = 252

9y/7 = 252

y = 252 × 7/9 = 196

So substituting y into (1):

x + 196 = 252

x = 252 - 196 = 56.

There were 56 rookies in the camp.

To find the number of rookies in the camp, we will use the given ratio and the total number of people in the camp.

Step 1: Write down the ratio of rookies to veterans, which is 2:7.

Step 2: Add the two parts of the ratio together: 2 + 7 = 9 parts.

Step 3: Divide the total number of people in the camp by the total number of parts. In this case, there are 252 people and 9 parts: 252 / 9 = 28. This means each part represents 28 people.

Step 4: Multiply the number of people per part by the number of parts for rookies to find the total number of rookies: 2 parts (rookies) * 28 people per part = 56 rookies.

So, there were 56 rookies in the camp.

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From the calculations, the number of whole trees that can be sold at $75,000 is 21 trees.

Density is defined a the mass per unit volume. Now we have the following;

Diameter = 50 cm or 0.5 m

height = 10 meters

volume = ?

Density of the cylinder = 380 Kg/m^3

Now;

We can get the volume from;

V = πr^2h

V = 3.142 * (0.5/2)^2 * 10

V = 1.96m^3

From;

D = m/V

m = DV

m = 1.96m^3 * 380 Kg/m^3

m = 744.8 Kg

If 1 Kg of wood is sold at $4. 75

744.8 Kg is sold at 744.8 Kg  *  $4. 75/  1 Kg

= $3537.8

Number of whole trees to be sold at $75,000=  $75,000/$3537.8

= 21 trees

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Answer:

4188.79mi^3

Step-by-step explanation:

the formula for the volume of a sphere is 4/3*pi*r^3

since the radius is 10, 4/3*pi*10^3

Answer:

Step-by-step explanation:

Volume of sphere =  \(\frac{4}{3} \pi r ^{3}\)

Radiusof sphere = 10 mi

=4/3·π·10^3≈4188.7902mi³

Answer:

3

Step-by-step explanation:

2r=d

d/2=r

Answer:

k = 2

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Replace variables

\(\frac{(k+3)-2}{3+1} =\frac{3}{4}\)

Step 2: Combine like terms

\(\frac{k+1}{4} =\frac{3}{4}\)

Step 3: Solve for k

k + 1 = 3

k = 2

Answer:

k=2

Step-by-step explanation:

The slope is 3/4

The slope formula is (y1-y2)/(x1-x2)

We can plug the values in

(2-k-3)/(-1-3)=3/4

Combine like terms

(-1-k)/-4=3/4

Cross multiply

-12= -4 - 4k

-8=-4k

k=2

Hope this helps!

In order to determine whether the project should be accepted or not when the discount rate is 12.5 percent, we can use the profitability index (PI) which is calculated by dividing the present value of cash inflows by the initial investment.

The formula for PI is:PI = (PV of cash inflows) / (initial investment)

A project should be accepted if the profitability index is greater than 1. Therefore, we need to calculate the profitability index (PI) of the project using the given information and determine whether it is greater than 1 or not.

The given answer choices are:

No; because the Pl is 3.3

Yes; because the PI is 3.0

No; because the Pl is 0.8

Yes; because the PI is 2.6

Yes; because the PI is 2.2

However, there is no information given regarding the Pl (present value of cash inflows) for any of these answer choices.

Therefore, we cannot use these answer choices to determine whether the project should be accepted or not when the discount rate is 12.5 percent. So, we need to calculate the PI using the given information and check if it is greater than 1 or not.

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Answer:

a) 22/50

b) 24/50

c) 8/50

d) 18/50

Step-by-step explanation:

Total students= 18 + 8  + 14 + 10 = 50

students who play instruments = 14 + 8 = 22

--

students who play a sport = 18 + 8 = 26

students who  dont play a sport = 50 - 26 = 24

--

c) students who play both instrument and sport = 8

--

d) students who play sports only = 18

Students who play instruments from Venn diagram is 22, students who play both instrument and sport is 8 and students who play sports only is 18.

A set is a collection of well defined objects.

A group of students were asked if they play a sport or play an instrument

Total number of students= 18 + 8  + 14 + 10 = 50

students who play instruments from venn diagram

= 14 + 8

= 22

students who play a sport = 18 + 8

= 26

students who dont play a sport = 50 - 26 = 24

c) students who play both instrument and sport = 8

d) students who play sports only = 18

Hence, students who play instruments from venn diagram is 22, students who play both instrument and sport is 8 and students who play sports only is 18.

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Answer:

Either 133 or 134 T-shirts

Step-by-step explanation:

If you divide the profits at the end of the month by $ per T-shirt, you get approximately 133.333 T-shirts, which rounds to 133-134 T-shirts. Basically the margin of error for this answer is 1.

Answer:

400x800=x solve for x , X =320000

X÷ 6 = 53333.3333333

they sold 53333.333333 T-shirts

Up is the y value and left is the x value.

In the point ( t,u) t is the x value and u is the y value.

Moving to the left, you subtract the value and moving up you add the value.

The answer would be (t, u) → (-t – 3, u + 8)

Answer:

above me  she/he right!!

Step-by-step explanation:

(7) The volume of the square base pyramid is 122.5 in³.

(8) The volume of the equilateral base pyramid is 311.8 cm².

(9)  The volume of the square base pyramid is 2,880 ft³.

The volume of the pyramids is calculated by applying the following formula as follows;

(7) The volume of the square base pyramid is calculated as;

V = ¹/₃Bh

where;

V = ¹/₃ x (7 in x 7 in ) x 7.5 in

V = 122.5 in³

(8) The volume of the equilateral base pyramid is calculated as;

V = ¹/₃Bh

V = ¹/₃ x (a²√3/4) x h

V =  ¹/₃ x (12²√3/4) x 15

V = 311.8 cm²

(9)  The volume of the square base pyramid is calculated as;

V = ¹/₃Bh

where;

V = ¹/₃ x (24 ft x 24 ft ) x 15 ft

V = 2,880 ft³

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Answer:

Step-by-step explanation:

Answer:

the answer is 8.9

Step-by-step explanation:

First you will get 4dz

Step-by-step explanation:

5,323 ÷ 34 = 156 19/34 that is the answer

Plug the points into y2-y1/x2-x1

(-10) - (-4)/(-12) - (-20)

you will get A. -3/4

hope this helps !! :)

Answer:

0.625

Step-by-step explanation:

5 out of 8 of the sections in the circle are yellow. This means that there is a 5/8 chance of the spinner landing in a yellow section.

5/8 written as a decimal is 0.625

The answer is 0.625

You have to need at least 32.5 hours to buy a smartphone that cost $299.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Given that you earn $9.20 per hour at your summer school job.

If p represents the number of hours you work, you must multiply that by the amount you make per hour. If the total is greater than or equal to the cost of the phone, you can buy it.

The cost of the smartphone is $299

As per the given condition, the required inequality would be as

\(\implies 9.20 \times p \geq 299\)

Divided by 9.20 both sides of the above inequality,

\(\implies p \geq 3.25\)

Therefore, you have to need at least 32.5 hours to buy a smartphone that cost $299.

Answer: x= -2

               x=4

Step-by-step explanation:

Answer:

im pretty sure both x's equal -4

Step-by-step explanation:

(-4 + 3)= -1

(-4 - 1)= -5

-5 x -1=5

When you multiply a negative number times a negative number that will equal a positive number.

Answer: Multiply the numerators together.

Multiply the denominators. Check to see if the product can be simplified.

Step-by-step explanation:

We can utilise the MRF and/or CRF numbers to identify which brand may have issues with quality control when it comes to selling the specified number of chips in its 24-ounce bag.

First, we must locate and analyse the MRF and CRF values for each brand. We can determine the overall percentage of samples from each brand by comparing the MRF values.

If a brand routinely has a lower MRF than other brands, it may indicate a problem with quality control.

Brands with lower CRF scores for this category can have label accuracy problems.

We must compute the CRF values for each brand in that category in order to discover which one has the highest CRF for less than the advertised weight of chips.

The frequency of samples that weigh less than what is stated is compared to the overall frequency of samples within that particular brand to determine the CRF.

When compared to the other brands, the brand with the highest CRF regularly has a higher percentage of samples that fall below the declared weight.

Thus, this implies that the label's accuracy may be in doubt because it consistently deviates further from the declared weight than competing brands.

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The particular solution to the differential equation :
2y'' + y' + y = 2t^2 + 2t - 5e^(2t) is y_p(t) = (3/4)t^2 - (11/8)t + (5/2)e^(2t).
The general solution is :
y(t) = c1e^[(1/4) + sqrt(3)/4]t + c2e^[(1/4) - sqrt(3)/4]t + (3/4)t^2 - (11/8)t + (5/2)e^(2t).

To find a particular solution to the differential equation −2y′′ + y′ + y = 2t^2 + 2t − 5e^(2t), we can use the method of undetermined coefficients.

First, we need to find the homogeneous solution by solving the characteristic equation:

r^2 - (1/2)r - 1/2 = 0

Using the quadratic formula, we get:

r = (1/4) ± sqrt(3)/4

So the homogeneous solution is:

y_h(t) = c1e^[(1/4) + sqrt(3)/4]t + c2e^[(1/4) - sqrt(3)/4]t

To find the particular solution, we need to guess a function that is similar to 2t^2 + 2t − 5e^(2t). Since the right-hand side of the differential equation contains a polynomial of degree 2 and an exponential function, we can guess a particular solution of the form:

y_p(t) = At^2 + Bt + Ce^(2t)

where A, B, and C are constants to be determined.

Substituting their derivatives into the differential equation, we get:

-2(2A + 4Ce^(2t)) + (2At + B + 2Ce^(2t)) + (At^2 + Bt + Ce^(2t)) = 2t^2 + 2t - 5e^(2t)

Simplifying and collecting like terms, we get:

(-2A + C)t^2 + (2A + B + 4C)t + (-2C - 5e^(2t)) = 2t^2 + 2t - 5e^(2t)

Equating coefficients of like terms, we get the following system of equations:

-2A + C = 2

2A + B + 4C = 2

-2C = -5

Solving for A, B, and C, we get:

A = 3/4

B = -11/8

C = 5/2

Therefore, the particular solution is:

y_p(t) = (3/4)t^2 - (11/8)t + (5/2)e^(2t)

The general solution is then:

y(t) = y_h(t) + y_p(t)

y(t) = c1e^[(1/4) + sqrt(3)/4]t + c2e^[(1/4) - sqrt(3)/4]t + (3/4)t^2 - (11/8)t + (5/2)e^(2t)

where c1 and c2 are constants determined by the initial conditions.

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In standard deviation, 52 is the associated number of degrees of freedom for reading the t value.

What is standard deviation?

n = 53

x = 34

Determine the degrees of freedom (df)

     df = n - 1

     df = 53 - 1

      df = 52

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Answer:

y = 2x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 7) ← 2 points on the line

m = \(\frac{7-3}{2-0}\) = \(\frac{4}{2}\) = 2

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 2x + 3 ← equation of line

Answer:

Here you go!

Step-by-step explanation:

Answer:

If circles A and B are congruent, then AC, CD, DB, and BA are all congruent since they are all radii. We then have:

ACDB is a rhombus.

ADB is an equilateral triangle.

CD is perpendicular to AB.

CD bisects AB.

Answer:

y=60 due to adjacent angle

Answer:

Option - A. 60°

Step-by-step explanation:

AB is parallel to CD and given angle is alternate interior angle to y

∴ y = 60°

Answer:

side = 14 cm

Step-by-step explanation:

Let 'x' be the side of the square.

Perimeter = 4 * side

                = 4*x

                = 4x

4x = 56

Solution:

4x = 56

Divide both sides by 4

x = 56/4

x = 14 cm

AEFG is not a right triangle, as the sum of the squares of AE and FG does not equal the square of EF. The slope of GH is -11/13.

A triangle is a three-sided polygon with three angles that can be acute, right, or obtuse. It is one of the basic shapes in geometry, and is used in many areas of mathematics, engineering, and construction. Its angles are the basis for trigonometric functions and are the basis for all other shapes in two dimensions. Triangles are also used in architecture and art, as well as for decoration.

No, AEFG is not a right triangle. To prove this, we can use the Pythagorean Theorem. This states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. In this case, the longest side is the line segment EF, and its length can be calculated using the distance formula:

d(EF) = √((7- (-2))² + ((-8) - 7)²) = √(81 + 81) = √162 = 12.7

The lengths of the two shorter sides, AE and FG, can be calculated in the same way:

d(AE) = √((-2 - (-6)²) + (7 - 3)²) = √(64 + 16) = √80 = 8.94

d(FG) = √((7 - (-6))² + ((-8) - 3)²) = √(81 + 121) = √202 = 14.2

Therefore, the sum of the squares of AE and FG is not equal to the square of EF.

d(AE)²+ d(FG)² = (8.94)²+ (14.2)² = 80.94 + 201.64 = 282.58
d(EF)^2 = (12.7)^2 = 160.49

Since d(AE)² + d(FG)²≠ d(EF)², AEFG is not a right triangle.

The slope of GH can be calculated using the slope formula:

m(GH) = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of two points on the line. In this case, the coordinates are (7, -8) and (-6, 3).

m(GH) = (3 - (-8)) / (-6 - 7) = 11 / -13 = -11/13

Therefore, the slope of GH is -11/13.

In conclusion, AEFG is not a right triangle, as the sum of the squares of AE and FG does not equal the square of EF. The slope of GH is -11/13.

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Complete questions as follows-
In AEFG E(-2,7) , F(7,-8) and G(-6, 3) . Is AEFG right triangle? Provide proof of your yes/no answer: The use of the grid at the right is optional. point H lies on EF of the triangle above such that GH perpendicular to EF then what is the slope of GH ? Show how YOu arrived at your answer:

Answer:

  b.  4.0 cm

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the ratio of the adjacent side to the hypotenuse is given by the cosine of the angle:

  Cos = Adjacent/Hypotenuse

  cos(35°) = NL/NK

  NL = NK·cos(35°)

__

Similarly, it reminds you that the ratio of the opposite side to the hypotenuse is given by the sine function:

  Sin = Opposite/Hypotenuse

  sin(53°) = NM/NL

  NM = NL·sin(53°)

Substituting from the first triangle, we have ...

  NM = NK·cos(35°)·sin(53°)

  NM = (6.1 cm)(0.81915)(0.79864)

  NM ≈ 3.991 cm

  MN ≈ 4.0 cm