can yall help me with this:)

The calculated chi-squared test statistic is 7.09 and the p-value is 0.0674. Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence to conclude that the responses occur with different frequencies. So, the correct answer is A).

To find the chi-square test statistic, we need to calculate the following

Subtract the expected frequency from the observed frequency for each response and square the result. Divide each squared difference by the expected frequency. Add up all the resulting values to get the chi-square test statistic.

Using the given data table in image,

Adding up the values in the last column of data, we get

chi² = 4.05 + 1.95 + 0.92 + 0.17 = 7.09

The degrees of freedom for this test are (number of categories - 1), which in this case is 4 - 1 = 3. Using a chi-square distribution table or calculator with 3 degrees of freedom, we find the p-value to be approximately 0.0674.

Since the p-value (0.0674) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, we conclude that there is not enough evidence to suggest that the responses to the questions occur with different frequencies. So, the correct option is A).

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Using combination, there are a) 10 ways to choose 3 slices of pizza.

To determine the number of ways to choose 3 slices of pizza from the given options, we can use the concept of combinations.

We have 5 different types of pizza slices: pepperoni, sausage mushroom cheese, ham, and pineapple. We need to choose 3 slices from these options.

The number of ways to choose 3 slices from 5 options can be calculated using the combination formula:

C(n, r) = n! / (r!(n - r)!)

Where n is the total number of options and r is the number of choices we want to make.

In this case, n = 5 (number of pizza options) and r = 3 (number of slices to be chosen).

Plugging in the values:

C(5, 3) = 5! / (3!(5 - 3)!)

= 5! / (3!2!)

= (5 * 4 * 3!) / (3! * 2 * 1)

= (5 * 4) / (2 * 1)

= 10

Therefore, there are 10 ways to choose 3 slices of pizza from the given options.

The correct answer is option A) 10.

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Answer:

192

Step-by-step explanation:

The solution of the expression is -24/5 < m < 32/5

To solve the absolute value inequality |2 - 5m/2| < 14, we remove the absolute value symbol resulting to two cases which is solved below

Case 1:

2 - 5m/2 < 14

Multiplying both sides by 2

4 - 5m < 28

Subtracting 4 from both sides

-5m < 24

Dividing both sides by -5 and rearranging the equation

m > -24/5

Case 2

2 - 5m/2 < -14

subtracting 2 to both sides

5m/2 < -16

Dividing both sides by -5/2

m < 32/5

Combining the equations

-24/5 < m < 32/5

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The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution  (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

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i think the answer is c hope this helps

Answer:

Some DNA tests analyze the mitochondria instead of the nucleus of a cell.

See my answer sreenshot.

Answer:

1/4

Step-by-step explanation:

when k=99

=>99=100-4n

=>4n=100-99

=>4n=1

=>n=1/4

Answer:

3

Step-by-step explanation:

Answer:

Mario brought 5 magazines

Step-by-step explanation:

If you just add $12.60 and $2.25 together then keep adding $2.25 until you get to $23.85, you'll get your answer.

So like,  

(1) 12.60 + 2.25 = 14.85

(2) 14.85 + 2.25 = 17.1

(3) 17.1 + 2.25 = 19.35

(4) 19.35 + 2.25 = 21.6

(5) 21.6 + 2.25 = 23.85  

So the total would be 5. Mario bought 5 magazines.

Answer: x = 1, x = -1

Step-by-step explanation:

\((3x^{2} -2) + (2x^{2} -6x+3)\\3x^2 -2 +2x^2 -6x+3\\5x^2-6x^2 +1\\-x^2 +1=0\\-x^2 = -1\\x^2=1\\\sqrt{x^2}=\sqrt{1} \\x = 1, -1\)

The median number of free throws made is 5.5.

To find the median, we first need to arrange the number of free throws made in order from lowest to highest:

3, 4, 5, 5, 5, 6, 6, 7, 8, 9

There are 10 numbers in the list, so the median is the average of the fifth and sixth numbers.

(5 + 6) ÷ 2 = 5.5

Therefore, the median number of free throws made is 5.5.

The median is a measure of central tendency that is used to describe the middle value or values of a dataset. It is especially useful when dealing with datasets that have extreme values or outliers, which can skew the mean.

The median is found by ordering the values in the dataset from lowest to highest and then finding the middle value(s). If there are an even number of values, the median is the average of the two middle values.

In this case, there were an even number of values, so we took the average of the fifth and sixth numbers to find the median.

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Answer:

the answer is point R trust me on this

The angle bisector from a vertex to the opposite side of a triangle is unique. We get AD = BE by subtracting BD from both sides of AB + BD = BE.

Proposition 4.4 states that in every triangle, there exists an angle bisector from a vertex to the opposite side and the angle bisector is unique.

Proof:

Let ΔABC be the given triangle and suppose AD is the angle bisector from A to BC. To prove that AD is unique, suppose BE is another angle bisector from B to AC.

We need to show that AD = BE.

Construct the incenter I of ΔABC. Draw lines AI and BI. AI bisects ∠A and BI bisects ∠B.

So, ∠AIB = 90° + ½ ∠C (proved in proposition 4.3).

Again, ∠AIB = ∠AID + ∠BIE [angle addition property of equality]

Therefore, ∠AID + ∠BIE = 90° + ½ ∠C...(1)

Since AD is the angle bisector from A to BC, we have

∠BAD = ∠CAD

Also, BE is the angle bisector from B to AC, so

∠EB = ∠EC

Adding these two equations, we get

∠BAD + ∠EB = ∠CAD + ∠EC...(2)

Since ∠A + ∠B + ∠C = 180° (angle sum property of a triangle),

∠C/2 + ∠B/2 + ∠A/2 = 180° (angle bisector property)

Therefore, ∠A/2 + ∠B/2 = 90° - ∠C/2

So, 2∠A/2 + 2∠B/2 = 180° - ∠C...(3)

Adding equations (1), (2), and (3), we get

∠AID + ∠BIE + ∠BAD + ∠EB + 2∠A/2 + 2∠B/2 = 360° - ∠C/2 + 180° + ∠C/2 + 180° - ∠C

∠AID + ∠BIE + ∠BAD + ∠EB + ∠A + ∠B = 360°(simplifying)

Therefore,

∠AID + ∠BIE + ∠BAD + ∠EB = 180°...(4)

Now, consider ΔABD and ΔEBD.

∠ABD = ∠EBD (∵ AD and BE are angle bisectors)

∠BAD = ∠BED [from equation (2)]

Therefore, ΔABD ≅ ΔEBD (∵ SAS congruence criterion)

So, BD = BD [by CPCTC]

Thus, we get AD = BE [by subtracting BD from both sides of AB + BD = BE]

Hence, the angle bisector from a vertex to the opposite side of a triangle is unique.

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Answer:

( -7, ∞)

Step-by-step explanation:

2(4x - 3) ≥ 5x - 27

8x - 6 ≥ 5x - 27

3x - 6  ≥ -27

3x ≥ -27 +6

3x ≥ -21

x ≥ -7

All numbers great than -7

Answer: 1 U.S.dollar  = 0.85 euro.

1 euro = 1.18 dollars.

Step-by-step explanation:

The given equation: \(E=\dfrac{17}{20}D\)

, where 'E' is the amount of euros that has the same value as 'D' U.S. Dollars.

At D= 1,

\(E=\dfrac{17}{20}=0.85\text{ euro}\)

i.e. 1 U.S.dollar  = 0.85 euro.

At E= 1 , we have

\(1=\dfrac{17}{20}D\\\\\Rightarrow\ D= 20/17\approx1.18\text{ dollars}\)

Hence, 1 euro = 1.18 dollars.

Step-by-step explanation:

sign of truelove or truefriendship is the probability of both draw a heart

Answer:

\((x+2)^2 + 1 \ , \ where \ a = 2 \ , \ b = 1\)

Step-by-step explanation:

\((x + 2)^2 = x^2 + 4x + 4\\\\(x+2)^2 + 1 = x^2 + 4x + 5\)

\(Therefore,\)

                \(x^2 + 4x + 5 = (x+2)^2 + 1\)

THE ANSWER IS TRUE :P

Step-by-step explanation:

All the square roots can be simplified to a decimal answer and still be equivalent.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

For example, square root of 16 is 4 since 4 × 4 = 16

We know that every number has a square root.

All the numbers does not have a perfect square root.

The perfect square roots does exists for numbers 1, 4, 9, 16, 25, .......

All the other numbers in between has the square roots which are decimal numbers.

Hence, all square roots can be simplified to a decimal answer and still be equivalent.

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Answer:

y(25) = 150

Step-by-step explanation:

Substitute t = 25 into y(t) , that is

y(25) = - 14(25) + 500 = - 350 + 500 = 150

A function assigns the value of each element of one set to the other specific element of another set. The value of the function y(25) is 150.

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given that the function y(t) is represented as y(t) = -14t + 500. Now, the value of y(25) will be,

y(t) = -14t + 500

y(25) = -14(25) + 500

y(25) = -350 + 500

        = 150

Hence, the value of the function y(25) is 150.

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Answer:

67 degrees

Step-by-step explanation:

the shape is a tryangle so it will have the same angle measurements, just make sure you look if it has the slash next to the letter or not in the future

Hope this helps girly!!

Answer:

\(\angle{C}=54\)

Step-by-step explanation:

Let's first start by establishing that when it comes to a reflection, side lengths and angle measurements remain the same. With that being said, let's identify our angle measurements:

\(\angle{A=}\\\angle{B}= 67\\\angle{C}=\\\angle{A'}=59\\\angle{B'}=\\\angle{C'}=\\\)

As mentioned earlier, angle measurements will remain the same, so we can go ahead and identify the values of \(\angle{A}\) & \(\angle{B'}\)

\(\angle{A=59}\\\angle{B}= 67\\\angle{C}=\\\angle{A'}=59\\\angle{B'}=67\\\angle{C'}=\\\)

The sum of the angles in a triangle will always be equal to 180°.

Add the two identified angles of the original figure.

\(59+67=126\)

Subtract the sum from 180:

\(180-126=54\)

Therefore:

\(\angle{C}=54\)

_

Check your work by adding the three identified angle measurements to see if they measure to 180°:

\(59+67+54\)

\(=180\)

The answer is correct!

Answer:

So, filling the box plot from left to right, we have the following values;

1 , 5, 8 , 11, 16

Step-by-step explanation:

Here in this question, we are interested in fixing the values in the box plot from the data given.

Mathematically, the box plot shows 5 values;

going from left to write at each point, we have

minimum value

lower quartile also called Q1

Median

Upper quartile also called Q3

and lastly;

Maximum value

From the question;

minimum value = 1 while maximum value = 16

So also, the median should be easy to obtain.

the median is simply the middle number;

We have 15 numbers in the set;

So therefore the median is the 8th number, counting from any of the ends of the arranged set.

From the data, this is a value of 8

Now let’s calculate the lower quartile

To calculate the lower quartile, we just add 1 to the total and divide by 4

= (N + 1)/4

That would be (15 + 1)/4 = 16/4 = 4

So the lower quartile will be the 4th term which is 5

Now, let’s calculate the upper quartile;

= (N + 1) * 3/4 = (15 + 1)* 3/4 = 3/4 * 16 = 12th term

By counting, this is 11

The numbers that complete the box are: 1, 5, 8, 11 and 16, in that order.

The dataset is given as: 1,4,4,5,5,7,8,8,10,11,11,11,14,15,16

The number to fill in the box plot are the minimum, lower quartile, median, upper quartile, and the maximum.

The smallest data is 1.

So, we have:

\(\mathbf{Minimum= 1}\)

The largest data is 1.

So, we have:

\(\mathbf{Maximum= 16}\)

The quartiles of the dataset are calculated as:

\(\mathbf{Q_n = n \times \frac{1 + N}{4}}\)

Where N = 15 (the sample size)

So, the lower quartile (Q1) is calculated as:

\(\mathbf{Q_1 = 1 \times \frac{1 + 15}{4} = 4th}\)

The 4th data element is 5.

So, the lower quartile is 5

The median (Q2) is calculated as:

\(\mathbf{Q_1 = 2 \times \frac{1 + 15}{4} = 8th}\)

The 8th data element is 8.

So, the median is 8

The upper quartile (Q3) is calculated as:

\(\mathbf{Q_3 = 3 \times \frac{1 + 15}{4} = 12th}\)

The 12th data element is 11.

So, the upper quartile is 11

So, the numbers that complete the box are: 1, 5, 8, 11 and 16, in that order.

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The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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Answer:

1)

x = 10.3

2)

x = 5.65

3)

x = 12.08

4)

x = 13.74

5)

x = 18.43

6)

x = 15.52

Answer:

1.72m^2x              5.=168f^2t^2x

2.63m^2x             6.=4\sqrt{257}imx\sqrt{im}

3.=55f^2t^2x

4.=90m^2x

The charge per cubic foot is $0.05. The equation for the total cost of a resident's water is C(x) = 0.05x + 40. The number of cubic feet of water used that would lead to a bill of $130 is 2200.

We will use the given data to calculate the charge per cubic foot:Let x be the number of cubic feet of water used by a household and let y be the corresponding bill amount.

Case 1: When a household using 1000 cubic feet was billed $90.

Case 2: When one using 1600 cubic feet was billed $105.Subtracting case 1 from case 2, we get:$$105 - 90 = 15$$$$1600 - 1000 = 600$$So, the charge per cubic foot is:$$\frac{15}{600} = 0.025$$$$\implies 0.05 \text{ (for two decimal place)}$$ Hence, the charge per cubic foot is $0.05.

To write an equation for the total cost of a resident's water as a function of cubic feet of water used, we will use the given data:

$$\text{Fixed amount = } $40$$\text{Charge per cubic foot of water used = } $0.05$$\text{Number of cubic feet used = } x$$

Therefore, the equation for the total cost of a resident's water as a function of cubic feet of water used is:

$$C(x) = \text{(Charge per cubic foot of water used)}\times\text{(Number of cubic feet used)}+\text{(Fixed amount)}$$$$C(x) = 0.05x + 40$$

To find out how many cubic feet of water used would lead to a bill of $130, we will use the equation obtained above:

$$C(x) = 0.05x + 40

= $130$$$$\implies 0.05x

= $90$$$$\implies x

= \frac{90}{0.05}

= 1800$$

Therefore, the number of cubic feet of water used that would lead to a bill of $130 is 1800.

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The volume of the solid is approximately V ≈ 1.062 cubic units.

We have,

To find the volume of the solid formed by revolving region R around the vertical line x = 1, we can use the method of cylindrical shells.

The volume of the solid can be obtained by integrating the area of each cylindrical shell.

Each shell is formed by taking a thin vertical strip of width dx from region R and rotating it around the line x = 1.

Let's denote the radius of each cylindrical shell as r(x), where r(x) is the distance from the line x = 1 to the curve y = tan(x).

Since the shell is formed by revolving the strip around x = 1, the radius of the shell is given by r(x) = 1 - x.

The height of each cylindrical shell is the difference in y-values between the curve y = tan(x) and the x-axis, which is given by y(x) = tan(x).

The differential volume of each cylindrical shell is given by

dV = 2π r(x) y(x) dx.

To find the total volume of the solid, we integrate the differential volume over the interval where region R exists, which is from x = 0 to x = 1.

Therefore, volume V is given by the integral:

V = ∫[0,1] 2π x (1 - x) x tan(x) dx

To solve this integral, we can use integration techniques or numerical methods.

Using numerical approximation, the volume is approximately V ≈ 1.062 cubic units.

Thus,

The volume of the solid is approximately V ≈ 1.062 cubic units.

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The number of ways in which a panel of 3 women and 4 men can be formed is 1960 ways.

Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant.

a. The number of ways In which a panel of 3 women and 4 men can be formed Is:

\($$\begin{aligned}& 8 C_3 * 7 C_4 \\& \frac{8 !}{(8-3) ! 3 !} * \frac{7 !}{(7-4) ! 4 !} \\& 56 * 35 \\& 1960\end{aligned}$$\)

The number of ways In which a panel of 3 women and 4 men can be formed Is 1960 ways.

b. The number of ways In which a panel with at least 2 women can be formed Is:

\($$\begin{aligned}& 8 C_2 * 7 C_5+8 C_3 * 7 C_4+8 C_4 * 7 C_3+8 C_5 * 7 C_2+8 C_6 * 7 C_1+8 C_7 * 7 C_0 \\& 28 * 21+56 * 35+70 * 35+56 * 21+28 * 7+8 * 1 \\& 588+1960+2450+1176+196+8 \\& 6378 \text { ways }\end{aligned}$$\)

The number of ways In which a panel with at least 2 women can be formed is 6378 ways.

c. The ways in which Miss A refuses If Mr. B is a member can be calculated by reducing one woman and one man from the Inltal members:

\($$7 C_3 * 6 C_4$$\)

420

The panel formed when Miss A refuses can be calculated as:

1960 - 420

1540 ways.

Hence the panel if Miss A refuses on the panel if Mr. B is a member can be formed in 1540 ways.

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The indicated functional value for the floor function f(1.5) is option D 1.

Given,

Floor function, f(1.5)

We have to find the indicated value for the given floor function.

Floor function comes under integer functions.

There are floor and ceiling function.

Ceiling function gives the least integer value greater than or equal to x.

Floor function gives the greatest integer values less than or equal to x.

Lets see an example;

Floor function of 2.6 is 2

Ceiling function of 2.6 is 3

Here,

Floor function, f(1.5) = 1

That is,

The indicated functional value for the floor function f(1.5) is option D 1.

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