An un contains 2 red and 2 green marbles. We pick a marble, record its color, and replace it. We repeat this procedure a second time. The probability distribution for the number of red marbles is given by Number of red marbles Oa 0 Probability 1/4 12 1/2 1/4 0 3 3 Number of red marbles Probability 1/2 1/4 Number of red marbles 1 2 Probability 1/4 3/8 3/8 1/4 0 1 3 Number of red marbles Probability 1/8 3/8 3/8 1/8 QUESTION 29 A newspaper article is summarized According to a new study, teachers may be more inclined to give higher grades to students, hoping to gain favor with the university administrators who grant tenure. The study examined the average grade and teaching evaluation in a large number of courses given in 1997 in order to investigate the effects of grade inflation on evaluations. I am concemed with student evaluations because instruction has become a popularity contest for some teachers," said Professor Smith, who recently completed the study Results showed higher grades directly corresponded to a more positive evaluation. Which of the following would be a valid conclusion to draw from the study? a Teachers can improve their teaching evaluations by giving higher grades Ob. A good teacher, as measured by teaching evalostions, helps students learn better, which results in higher grades c Higher grades result in above-average teaching evaluations. 4. None of the answer options is correct. d 1/4 Jo 12 0 13

As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.

The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.

Here,

Since, If there is a coordinate plane with both parallel lines, go with option A.

Therefore, there is no cure.

There are hence a finite number of solutions that could be found.

If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.

According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.

The difference between Option D) and Option B) is noted.

Only choice C) is hence the proper one.

Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.

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The food percentage would be 19%, 51% and 30%.

Given that we've done it

Number of meals consumed by X = 57

Food consumed by Y = 153.

Number of meals consumed by Z = 90

Total amount of meals consumed = 57 + 153 +90 = 300

Food proportion of flock X thus Equals 57 / 300 * 100 = 19 %

flock food percentage Y =153/300 * 100 = 51 %

flock food percentage Z = 90/300 * 100 = 30 %

This means that the percentages are 19%, 51%, and 30%.

Based on the given information, we have:

Flock X ate 57 pieces of food.

Flock Y ate 153 pieces of food.

Flock Z ate 90 pieces of food.

The total number of pieces of food eaten is 300 (sum of the individual flock's food).

The food percentage for Flock X is 57/300 ≈ 0.19 or 19%.

The food percentage for Flock Y is 153/300 ≈ 0.51 or 51%.

The food percentage for Flock Z is 90/300 = 0.3 or 30%.

The total number of birds for the second generation is 30 (given).

To find the simulated number of birds in each flock for the second generation, we multiply the food percentage for each flock by the total number of birds (30).

For Flock X: 0.19 × 30 = 5.7 (rounded to the nearest whole number: 6 birds)

For Flock Y: 0.51 × 30 = 15.3 (rounded to the nearest whole number: 15 birds)

For Flock Z: 0.3 × 30 = 9 (rounded to the nearest whole number: 9 birds)

Therefore, the simulated number of birds in Flock X, Flock Y, and Flock Z for the second generation are 6, 15, and 9 birds, respectively.

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Complete Question

Flock X Flock Y Flock z Total Pieces of Food Eaten 57 153 90 Food Percentage* % 1% % Simulated Number of Birds in Flock for 2nd Generation ** * Divide each flock's total pieces of food by 300, the total number of pieces of food eaten. ** Multiply the food percentage for each flock by the total number of birds (30). DONE

Answer:

19 51 30

6 15 9

second part Is Y then X

Step-by-step explanation:

A transformation that maps ∆ABC to ∆ADE is a dilation.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric shape, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (enlargement) or decreased (reduction) based on the scale factor applied.

By critically observing the diagram of the triangles, we can reasonably infer and logically deduce that a transformation that maps ∆ABC unto ∆ADE would be a dilation by a scale factor that is greater than 1 and centered at the origin.

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Cubic centimetres since they are cubes. Did you add any picture of the question? There seems to be none.

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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If a calculator is sold for R120 and the original selling price is Increased in a ratio of 5:3, the new price of the calculator will be R200.

Let the original selling price of the calculator be x.The price it is sold for is R120.

Then 120/x = 5/3x = (3 × 120)/5x = 72

New price of the calculator = (5/3) × 72= 120Therefore, the new price of the calculator is R200.

To determine the new price of the calculator after an increase in the ratio of 5:3, we can use the following steps:

Calculate the multiplier for the ratio increase:

multiplier = (new ratio) / (old ratio)

multiplier = 5/3

Multiply the original selling price by the multiplier to get the new price:

new price = original selling price * multiplier

new price = R120.0 * (5/3)

new price = 200.0 rupees.

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To find the cost of one bottle of water, we need to divide the total cost of the case by the number of bottles in the case, which is 24.

So,

Cost of one bottle of water = Total cost of case / Number of bottles in case

= $2.99 / 24

= $0.1246

Rounding this to two decimal places, we get:

Cost of one bottle of water = $0.12

Therefore, one bottle of water costs $0.12.

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Answer:

D is your answer

Step-by-step explanation:

Answer:

\(option \: d\)

Step-by-step explanation:

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

....

Answer:

Hey there!

There are a total of 20 children, and 2+6, or 8 are girls.

Thus the probability of choosing a girl is 8/20, or 2/5.

There are 2 left handed girls, so the probability is 2/20, or 1/10.

Hope this helps :)

Answer:

see below

Step-by-step explanation:

There are 2+6 = 8 girls

P( girl) = number of girls/ total  = 8/20 = 2/5

P( left handed girl) = number of left handed girls/ total  = 2/20 = 1/10

Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

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Answer:

112

Step-by-step explanation:

To find the area, you must multiply the width and the length. 14 times 8 is 112.

Answer:

Step-by-step explanation:

(a)   \(5\frac{1}{8} =\frac{41}{8}\)

      So we get

          \(5\frac{1}{8}\% =\frac{41}{8}\div100\)

                   \(= \frac{41}{8} \times \frac{1}{100}\)

                   \(=\frac{41}{800}\)  

(b)    \(91.4=91\frac{4}{10} =91\frac{2}{5} =\frac{457}{5}\)  

       So we get

               \(91.4\%=\frac{457}{5} \div100\)

                          \(=\frac{457}{5} \times \frac{1}{100}\)

                          \(=\frac{457}{500}\)                

Repeatedly  sample variance from a small population without replacement leads to the outcomes in our sample being non-independent, as the same individuals may be chosen multiple times.

Repeatedly  sample variance from a small population without replacement can lead to skewed results, as the same individuals may be chosen multiple times. This can be problematic when the sample size is small, as the same individuals may be overrepresented in the sample. This can lead to outcomes that are not representative of the population and can lead to inaccurate results. As the same individuals are chosen multiple times, the outcomes in the sample are not independent; the outcomes of one individual can influence the outcomes of other individuals in the sample. This can lead to bias in the results and should be avoided when possible. When sampling from a small population without replacement, it is important to ensure that the sample size is large enough that the same individuals are not chosen multiple times, otherwise the results may be skewed or biased.

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Sampling repeatedly from a small population without replacement leads the outcomes in our sample to be dependent.

In dependent samples, subjects in one group do provide information about subjects in other groups.

Answer:

6 pizzas

Step-by-step explanation:

They spent 37 but they used a $8 coupon.

37+8=45.

If a pizza is $7.5 then

$45 divided by $7.5 =6.

The probability shows that the number of people who responed with a genre other than one of the genres listed is 168.

The number of people who responded with a genre other than one of the genres listed will be:

= 600 - (102 + 114 + 84 + 132)

= 600 - 332

= 168

The probability for adventure = 102/600 = 0.17

The probability for comedy = 114/600 = 0.19.

The probability for mystery = 84/600 = 014

The probability for romance = 132/600 = 0.22

The probability for others = 168/600 = 0.28

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Answer:

x=4, y=0. (4, 0).

Step-by-step explanation:

3x-4y=12

x=-2y+4

-----------

3(-2y+4)-4y=12

-6y+12-4y=12

-10y=12-12

-10y=0

y=0/-10=0

x=-2(0)+4=0+4=4

Answer:

Step-by-step explanation:

if x=-2y+4

3x-4y=12 becomes

3(-2y+4)-4y=12

-6y+12-4y=12

-10y+12=12

-10y=0

y=0

since x=-2y+4

x=-2(0)+4

x=4

so the solution is the point (4,0)

The point on the x-axis where the magnetic field is zero when the two currents are in the same direction is midway between the two wires.

The magnetic field produced by a current-carrying wire is directly proportional to the distance from the wire. When two current-carrying wires are placed parallel to each other and the current is in the same direction, the magnetic fields around them combine to produce a magnetic field that cancels out at the midpoint between the two wires. Therefore, the point on the x-axis where the magnetic field is zero is the midway point between the two wires, and this point can be calculated using the distance formula. The appropriate units for this point are the same as the units used for the distance between the wires.

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Answer:

9a³b³

how this can be of help

The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).

Given by: The midpoint of the two points is:

M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)

The following vector runs between the two points:

V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)

The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.

The normal vector is then provided by:

N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)

The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:

(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2

The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.

12(x - 2) = -8(y - 2) = 4(z + 1) + 2

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When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

The value of P0.05 < 0.19658. We do not reject the null hypothesis. There is not sufficient evidence that the mean age is less than 26 years.

According to the question we will set up Hypothesis

Null,  H0: U=26

Alternate, H1: U<26

Test Statistic

Population Mean(U)=26

Sample X(Mean)=24.4

Standard Deviation(S.D)=9.2

Number (n)=25

we use Test Statistic (t) = x-U/(s.d/√(n))

to =24.4-26/(9.2/√(25))

to =-0.87

| to | =0.87

Critical Value

The Value of |t α| with n-1 = 24 d.f is 1.711

We got |to| =0.87  & | t α | =1.711

According to this, we have to make a decision

Hence Value of  |to | < | t α |

P-Value: Left Tail -Ha : ( P < -0.8696 ) = 0.19658

Hence Value of P0.05 < 0.19658

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The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3

From the case, we have:

Minimum point = (-3,0)

Maximum point = (-9,6)

The sinusoidal fuction would be in the form of:

y = A sin (Bx - C) + D

where:

A = amplitudo

B = 2π / Period

C = Phase shift

D = Midline

First, we need to find the amplitudo:

A = (Y max - Y min) / 2

A = (6 - 0) / 2

A = 3

Periode = (X max - X min) x 2

Periode = (-9 - (-3) x 2

Periode = -6

B = 2π / Periode

B = 2π / 6

B = 1/3 π

D = (Y max + Y min) / 2

D = (6 + 0) / 2

D = 3

We can use one point to find the value of C:

0 = 3 sin (π/3 (-3) - C) + 3

0 = 3 sin (π - C) + 3

-3 = 3 sin (π - C)

sin (π - C) = -1

(π - C) = 270

C = -1/2 π

C = - 90

Then the sinusiodal function would be:

y = 3 sin (πx + 90) + 3

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To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides,beginning with a triangle which has 3 sides

The 6th shape in this pattern is an octagon, which has 8 sides. This pattern follows a sequence of shapes, beginning with a triangle which has 3 sides, followed by a square which has 4 sides, then a pentagon which has 5 sides, and so on. Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides.

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Here, cos(a) = 21/29 and a lies in quadrant IV, and sin(b) = -2/5, for angle 'a' in quadrant IV, cos(a) = 21/29 and sin(a) = -20/29. For angle 'b', sin(b) = -2/5, but we cannot determine the exact value or quadrant for cos(b).

Step:1. Quadrant IV: In this quadrant, cosine values are positive and sine values are negative. Since cos(a) = 21/29 (a positive value), it confirms that 'a' is in quadrant IV.
Step:2. To find sin(a), you can use the Pythagorean identity: sin²(a) + cos²(a) = 1. Plug in the given cosine value:
sin²(a) + (21/29)² = 1
sin²(a) + 441/841 = 1
sin²(a) = 400/841
sin(a) = -20/29 (negative because a is in quadrant IV)
Step:3. For angle 'b', we are given sin(b) = -2/5. Since the sine value is negative, it indicates that 'b' lies in either quadrant III or IV.
Unfortunately, we do not have enough information to determine the exact quadrant for angle 'b'. However, we can find the cosine value of 'b' using the Pythagorean identity:
cos²(b) + sin²(b) = 1
cos²(b) + (-2/5)² = 1
cos²(b) + 4/25 = 1
cos²(b) = 21/25
cos(b) = ±√(21/25)
Without knowing the specific quadrant, we cannot determine if cos(b) is positive or negative.
In conclusion, for angle 'a' in quadrant IV, cos(a) = 21/29 and sin(a) = -20/29. For angle 'b', sin(b) = -2/5, but we cannot determine the exact value or quadrant for cos(b).

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The graph after plotting coordinate (2, 18) is shown in figure.

Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

The coordinate of points is,

⇒ (2, 18)

Now, We can formulate;

x - coordinate is, 2

And, y - coordinate is, 18

Hence, The graph after plotting coordinate (2, 18) is shown in figure.

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After rounding off the numbers product of the given numbers is 27000.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given number are 88 and 304.

Rounding each number to the nearest 10

That is, 88 to 90 and 304 to 300

Now, 88×304 can be written as

90×300

= 27000

Therefore, after rounding off the numbers product of the given numbers is 27000.

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Answer: 6.35

hope this helps.

If there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

each slice of the 12-inch thin-crust cheese pizza would have an equal distribution of sauce and toppings. This means that each slice would have the same amount of sauce and toppings spread evenly across its surface.

Since the pizza is cut equally into eight slices, each slice would represent 1/8th of the total pizza. Therefore, each slice would have an equal portion of the sauce and toppings.

It's important to note that the exact amount of sauce and toppings on each slice would depend on the original distribution applied to the pizza before it was sliced. If the pizza was prepared with a uniform distribution of sauce and toppings across the entire pizza, then each slice would indeed have an equal amount. However, if there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

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