The table shows the results of selecting a marble from a bag without looking and then putting it back in the bag . Marbles Selected Color Time Selected Purple Orange Black White Green Using these results , what is the probability that a black marble will be the next color selected ?

If you compare the functions:

Considering f(x) as the parent function, let's analyze each option:

1) Translation 2 units right.

To translate a function 2 units to the right, you have to subtract 2 to the x-term:

As you can see the resulting function, h(x), is not equal to g(x), which means that the transformation applied was not a shift 2 units to the right.

2) Translation 2 units to the left

To translate the function two units to the left, you have to add 2 to the x-term:

The resulting function, i(x), is not equal to g(x), which means that the transformation applied was not a shift of 2 units to the left.

3) Translation 2 units up

To translate a function 2 units up, you have to add 2 to the function, that is:

The function j(x) is different from the function g(x), so the transformation applied was not a shift 2 units up.

4) Translation 2 units down

To shift a function two units down, you have to subtract 2 from the function:

The functions k(x) and g(x) are equal, which means that to determine the function g(x) the function f(x) was translated 2 units down.

Answer:

1,3,4

Step-by-step explanation:

keep it easy

To correct the error in the code, replace the placeholder values with the actual dataframe name, variable name for relative skill, and the mean value under the null hypothesis. Then rerun the code to perform the hypothesis test for the population mean.

To correct the error, follow these steps:

Replace "??DATAFRAME_YOUR_TEAM??" with the actual name of your team's dataframe.

Replace "??RELATIVE_SKILL??" with the name of the variable for relative skill, enclosed in single quotes.

Replace "??NULL_HYPOTHESIS_VALUE??" with the mean value of the relative skill under the null hypothesis.

After making these edits, run the code block again.

Example corrected code:

import scipy.stats as st

# Mean relative skill level of your team

mean_relative_skill_your_team = your_team_dataframe['relative_skill'].mean()

print("Mean Relative Skill of your team in the years 2013 to 2015 =", round(mean_relative_skill_your_team, 2))

# Hypothesis Test

# ---- TODO: make your edits here ----

test_statistic, p_value = st.ttest_1samp(your_team_dataframe['relative_skill'], 1340)

print("Hypothesis Test for the Population Mean")

print("Test Statistic =", round(test_statistic, 2))

print("P-value =", round(p_value, 4))

Make sure to replace "your_team_dataframe" with the actual name of your team's dataframe, and "relative_skill" with the appropriate variable name for the relative skill.

The correct question should be :

Step 3: Hypothesis Test for the Population Mean (I) How do I correct this error?

A relative skill level of 1340 represents a critically low skill level in the league. The management of your team has hypothesized that the average relative skill level of your team in the years 2013-2015 is greater than 1340. Test this claim using a 5% level of significance. For this test, assume that the population standard deviation for relative skill level is unknown. Make the following edits to the code block below:

Replace ??DATAFRAME_YOUR_TEAM?? with the name of your team's dataframe. See Step 2 for the name of your team's dataframe.

Replace ??RELATIVE_SKILL?? with the name of the variable for relative skill. See the table included in the Project Two instructions above to pick the variable name. Enclose this variable in single quotes. For example, if the variable name is var2 then replace ??RELATIVE_SKILL?? with 'var2'.

Replace ??NULL_HYPOTHESIS_VALUE?? with the mean value of the relative skill under the null hypothesis.

After you are done with your edits, click the block of code below and hit the Run button above.

In [16]:

import scipy.stats as st

​

# Mean relative skill level of your team

mean_elo_your_team = your_team_df['elo_n'].mean()

print("Mean Relative Skill of your team in the years 2013 to 2015 =", round(mean_elo_your_team,2))

​

​

# Hypothesis Test

# ---- TODO: make your edits here ----

test_statistic, p_value = st.ttest_1samp(your_team_df['elo_n'],1340)

​

print("Hypothesis Test for the Population Mean")

print("Test Statistic =", round(test_statistic,2))

print("P-value =", round(p_value,4))

---------------------------------------------------------------------------

NameError                                 Traceback (most recent call last)

<ipython-input-16-42c1d6351f04> in <module>

     2

     3 # Mean relative skill level of your team

----> 4 mean_elo_your_team = your_team_df ['elo_n'].mean()

     5 print("Mean Relative Skill of your team in the years 2013 to 2015 =", round(mean_elo_your_team,2))

     6

NameError: name 'your_team_df' is not defined

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The error in your Hypothesis Test for the Population Mean needs more specific information to address. Generally, hypothesis testing involves defining hypotheses, setting a significance level, calculating a test statistic, determining a critical value, and comparing these values to decide whether to accept or reject the null hypothesis.

The error in the Hypothesis Test for the Population Mean seems undefined in your question. However, usually, it can be due to not correctly identifying the null and alternative hypotheses or making a mistake in collecting, analyzing, interpreting data, or calculating the test statistic. I can give a general step-by-step explanation on how to conduct a hypothesis test for population mean.

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we divide by the mass to get the coordinates of the center of mass:

\((x_{cm}, y_{cm}, z_{cm}) = (1/M)\).

by the question.

To find the center of mass of a solid with a given density function, we need to calculate the triple integral of the product of the density function and the position vector, divided by the mass of the solid.

The mass of the solid is given by the triple integral of the density function over the region R bounded by the given planes and the surface \(3x^2yz = 6.\)

we need to find the limits of integration for each variable:

For z, the lower limit is 0 and the upper limit is \(2/(3x^2y)\), which is the equation of the surface solved for z.

For y, the lower limit is 0 and the upper limit is \(2/(3x^2)\), which is the equation of the surface solved for y.

For x, the lower limit is 0 and the upper limit is \(\sqrt{(2/3)\), which is the positive solution of\(3x^2y(\sqrt(2/3)) = 6\), obtained by plugging in the upper limits for y and z.

Therefore, the mass of the solid is given by:

M = ∭R ⇢(x,y,z) dV

= ∫\(0^{(\sqrt{(2/3))}\) ∫\(0^{(2/(3x^2))}\) ∫\(0^{(2/(3x^2y))} y dz dy dx\)

= ∫\(0^{(\sqrt(2/3))}\) ∫\(0^{(2/(3x^2))} y * (2/(3x^2y)) dy dx\)

\(=\)∫\(0^{(√(2/3)) (1/x^2)} dx\)

\(= \sqrt{(3/2)\)

Now, we need to calculate the triple integral of the product of the density function and the position vector:

∫∫∫ ⇢(x,y,z) <x,y,z> dV

Using the same limits of integration as before, we get:

∫\(0^{(2/3))}\) ∫\(0^{(2/(3x^2))}\) ∫\(0^{(2/(3x^2y)) }y < x,y,z > dz dy dx\)

We can simplify the vector <x,y,z> as <x,0,0> + <0, y,0> + <0,0,z> and integrate each component separately:

∫\(0^{(\sqrt{(2/3))}\) ∫\(0^{(2/(3x^2))}\) ∫\(0^{(2/(3x^2y))} y x dz dy dx\)

∫\(0^{(\sqrt{(2/3))}\) ∫\(0^{(2/(3x^2))}\) ∫\(0^{(2/(3x^2y))} y 0 dz dy dx\)

∫\(0^{(\sqrt{(2/3))}\) ∫\(0^{(2/(3x^2))}\) ∫\(0^{(2/(3x^2y))} y (0) dz dy dx\)

The second and third integrals are both zero, since the integrand is zero. For the first integral, we have:

∫\(0^{(\sqrt{(2/3))}\) ∫\(0^{(2/(3x^2))} y * (2/(3x^2y)) dy dx\)

= ∫\(0^{(\sqrt{(2/3))}\) ∫\(0^{(2/(3x^2))} (2/3x) * dy dx\)

= ∫\(0^{(\sqrt{(2/3))}\) \((4/9x) dx\)

= 2/3

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Answer:

the statement that is true is: A and B are not independent because P(AIB) + P(B) is not equal to P(BIA) + P(A)

Step-by-step explanation:

ur welcome

The population of Mariposa after 7 years would be approximately 1047.51.

The formula for the population of Mariposa after t years can be expressed as:

\(\[ P(t) = P_0 \times (1 - r)^t \]\)

where:

- \(\( P(t) \)\) represents the population of Mariposa after t years,

-  \(\( P_0 \)\) represents the initial population in the year 2010 (given as 1500),

- \(\( r \)\) represents the annual decay rate (given as 5%, which is equivalent to 0.05), and

- \(\( t \)\) represents the number of years.

Therefore, the formula for the population of Mariposa after t years is:

\(\[ P(t) = 1500 \times (1 - 0.05)^t \]\)

Let's solve the formula for a specific value of t, let's say t = 7 years.

Using the formula:

\(\[ P(t) = 1500 \times (1 - 0.05)^t \]\)

Substituting t = 7:

\(\[ P(7) = 1500 \times (1 - 0.05)^7 \]\)

Calculating the exponent:

\(\[ P(7) = 1500 \times (0.95)^7 \]\)

Evaluating the expression:

\(\[ P(7) \approx 1500 \times 0.69834 \]\)

\(\[ P(7) \approx 1047.51 \]\)

Therefore, the population of Mariposa after 7 years would be approximately 1047.51.

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6 families dinned out 4 or more time per week

3 families dinned out less than 2 times per week

Now you must subtract the #'s

6 - 3 = 3

3 more families dined out 4 or more times per week.

Answer:

k=1

Step-by-step explanation:

so FG and FE are equal meaning same magnitude

formula for magnitude is √{x2-x1}+{y2-y1}

(the square root is for all of it)

so use line FG since you have both points

you get √7 as magnitude

then apply it to FE

√7=√(4-0)+(4-k)

you can square both sides to remove the root and you get k=1

(when calculating magnitude the value is always absolute no regard to signs)

Answer:

3.90

Step-by-step explanation:

The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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Answer:

hi

Step-by-step explanation:

Answer:

Part A: two lines, one line will be across $72 all the way. the second line will be a slope.

part b: 5 or less

Step-by-step explanation:

part A: time is x in the equation y=12x and y is the cost. so, plug in the x values and see what y values are. then plot the points and then draw a straight line.

part b: the rider charges $72 dollars for the whole day. if you wanted a bike from bikerama for 6 hours, it would be the same price. so, go for less hours and the price will be better

The expression 9 + 3i represents a complex number. In standard form, a complex number is written as a + bi, where a and b are real numbers and i is the imaginary unit.

The expression 9 + 3i represents a complex number. To write it in standard form, we combine the real and imaginary parts. In this case, the real part is 9 and the imaginary part is 3i.

In standard form, a complex number is written as a + bi, where a is the real part and b is the imaginary part. So, the expression 9 + 3i can be written in standard form as 9 + 3i. Therefore, the answer is e. 9 + 3i.

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It is important to consider the scale of measurement and the specific characteristics of the variables when selecting an appropriate statistical test.The tests can be classified as follows:

1. A researcher measures the proportion of schizophrenic patients born in each season.

This test is nonparametric. The scale of measurement is categorical, as the seasons (spring, summer, fall, winter) represent distinct categories rather than continuous numerical values. Therefore, parametric assumptions, such as normality and equal variances, do not apply to this measurement.

2. A researcher measures the average age that schizophrenia is diagnosed among male and female patients.

This test is parametric. The scale of measurement is continuous and numerical (age in years). Parametric tests, such as t-tests or ANOVA, can be applied when working with continuous data, assuming the data meet the required assumptions (e.g., normality, independence, and equal variances).

3. A researcher tests whether frequency of Internet use and social interaction are independent.

This test can be both parametric or nonparametric, depending on the measurement scale and the specific statistical test used. If the variables are measured on a nominal or ordinal scale, nonparametric tests, such as the chi-square test, would be appropriate. If the variables are measured on a continuous scale, parametric tests, such as logistic regression, could be employed.

4. A researcher measures the amount of time (in seconds) that a group of teenagers uses the Internet for school-related and non-school-related purposes.

This test is parametric. The scale of measurement is continuous (time in seconds), and parametric tests, such as t-tests or ANOVA, can be utilized to compare means or variances, assuming the required assumptions are met.

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Answer:

the top one

Step-by-step explanation:

The answer is A. 2 ≥ 8

Answer:

$6.70

Step-by-step explanation:

Adrian purchases a book for 4.86 and a poster for 3.44

The total amount he owes would be 4.86 + 3.44 = $8.30

If she gives the cashier 15 dollars she should receive 15 - 8.30 = $6.70 back.

One hamburger costs $2 and one chicken nugget costs $3.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Let, The no. of hamburgers be 'H' and the no. of chicken nugget be 'C'.

Given, On Monday, she purchased 6 hamburger kid meals and 7 chicken nugget kid meals, for a total of $33,

Therefore, 6H + 7C = 33...(1).

Also given, On Thursday, she spent $30 on 3 hamburger kid meals and 8 chicken nuggets.

Therefore, 3H + 8C = 30...(2).

Now, multiplying the eqn (2) by 2 and subtracting it from eqn(1) to cancel out one variable 'H' we get,

- 9C = - 27.

9C = 27.

C = 3 and hence H = 2.

So, The cost of one hamburger is $2 and one chicken nugget is $3.

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Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)

Answer:

See attachment

Step-by-step explanation:

On attachment

The equation of volume will be V = [(1/2)t + 4]³. The surface area as a function of time will be A(s) = 3/2 t² + 24t + 96. The number of hours when the surface area equal 294 square inches will be 3 1/2 hours.

Functions are found all across mathematics and are required for the creation of complex relationships.

Part A: The equation that gives the volume at t hours after freezing begins will be

V = s³

V = [(1/2)t + 4]³

Part B: The surface area as a function of time, using composition, and determine its range will be

A(s) = 6(1/2 t + 4)²

A(s) = 6 (t²/4 + 4t + 16)

A(s) = 3/2 t² + 24t + 96

Part C: The number of hours when the surface area equal 294 square inches will be

294 = 6(1/2 t + 4)²

49 = (1/2 t + 4)²

7 = 1/2 t + 4

1/2 t = 3

t = 3 1/2 hours

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The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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Step-by-step explanation:

8x-2=46

collect like terms

8x=46+2

8x=48

Divide both sides by 8

8x÷8=48÷8

x=6

Answer: Mean  is the value obtained by dividing the sum of several quantities by their number; an average. Denoting the middle term of a series arranged in order of magnitude. The value which occurs most frequently in a set of data is known as the mode of the set of data.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The probability that x is greater than 102 is approximately 0.2119.

We need to standardize the random variable x before finding the required probability.

The standardized random variable Z is given by:

Z = (x - μ) / σ

Here, x = 102, μ = 90, and σ = 15.

So,

Z = (102 - 90) / 15 = 0.8

Now, we need to find P(Z > 0.8). We can use a standard normal distribution table or calculator to find this probability.

Using a standard normal distribution table, we find that the probability of Z being greater than 0.8 is approximately 0.2119.

Therefore,

P(x > 102) = P(Z > 0.8) ≈ 0.2119

So, the probability that x is greater than 102 is approximately 0.2119.

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Answer:

proved that x=9

Step-by-step explanation:

A line that splits an angle into two equal angles. ("Bisect" means to divide into two equal parts)

so <CAB=<DAB

7x+2=5(x+4)

7x+2=5x+20

7x-5x=20-2

2x=18

x=9

Using relations in a right triangle, we have that:

1 - a) x = 54.28º.

1 - b) y = 57.794º.

1 - c) z = 31.056º.

2) The angle is of 62.8º.

3) The angle is of x = 53.017º.

4) The angle x is of 20.364º, which is greater than 17º, hence she can use the smooth tiles.

5) The angle y is of 38.37º, which is greater than 35º, hence he can go down the slide.

The relations in a right triangle are given as follows:

For item 1a, we have that the sides, hence:

tan x = 8.9/6.4

x = arctan(8.9/6.4)

x = 54.28º.

For item 1b, we have the adjacent side and the hypotenuse, hence:

cos y = 9.7/18.2

y = cos^-1 (9.7/18.2)

y = 57.794º.

For item 1c, we have the opposite side and the hypotenuse, hence:

sin z = 6.5/12.6

z = sin^-1(6.5/12.6)

z = 31.056º.

For item 2, we have the sides, given at the graph at the end of the answer, hence:

tan x = 7.2/3.7

x = tan^-1(7.2/3.7)

x = 62.8º.

The angle is of 62.8º.

For item 3, first we find the hypotenuse of the bottom triangle, by the Pythagorean Theorem, as follows:

h² = 7.9² + 18.6²

h = sqrt(7.9² + 18.6²)

h = 20.21.

Then:

sin x = 20.21/25.3

x = sin^-1(20.21/25.3)

x = 53.017º.

For item 4, we have the adjacent side and the hypotenuse, hence:

cos(x) = 3/3.2

x = cos^-1 (3/3.2)

x = 20.364º.

The angle x is of 20.364º, which is greater than 17º, hence she can use the smooth tiles.

For item 5, we have the opposite side and the hypotenuse, hence:

sin y = 1.8/2.9

y = sin^-1 (1.8/2.9)

y = 38.37º.

The angle y is of 38.37º, which is greater than 35º, hence he can go down the slide.

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Answer:

$39.36

Step-by-step explanation:

Since its 20% off that means we still have a remaining 80% so first multiply 0.8 to the 82

82x0.8= 65.6

Since there is a additional 40% off multiply by 0.4 to get the discount amount

65.6x0.4= 26.24

Subtract the discount from the price

65.6-26.24= 39.36

the number of cups of red Lin needs is 27 cups

number of parts of red = 3

number of parts of yellow = 2

the ratio of red to yellow = 3:2

when lin's number of cups of yellow = 18

let the number of cups of red = x

3 red = 2 yellow

x red = 18 yellow

cross multiply:

3(18) = 2(x)

54 = 2x

divide both sides by 2:

54/2 = 2x/2

x = 27

Hence, the number of cups of red Lin needs is 27 cups