in a school of 330 students, 85 of them are in a drama club, 200 of them are in a sports team and 60 of them do both

find the probability that the student isn't in a sports or drama club​

Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

179 out of 523 members indicated they would buy the new product at the proposed price, hence:

[tex]\pi = \frac{179}{523} = 0.3423[/tex]

Then the bounds of the interval are found as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830[/tex]

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Answer:

slope: 7

y-intercept:  (0,−6)

Step-by-step explanation:

Answer:

[tex](p + q)(p + q) \\ = {p}^{2} + pq + pq + {q}^{2} \\ = {p}^{2} + {q}^{2} + 2pq \\ = {(p + q)}^{2} \\ thankyou[/tex]

The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.

A linear function is in the form:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept

The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.

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We see that Triangle ABC is an isosceles triangle which means:

We see that Angle BCD and Angle BCA are on a straight line, which means that both of the angles' measures are equal to 180 degrees

    --> in equation form:

              Angle BCD + Angle BCA = 180

                118 + Angle BCA = 180

                         Angle BCA = 62 degrees

Since Angle BCA and BAC are equal, then Angle BAC or Angle A in this case is 62 degrees

Hope that helps!

Answer:

I believe the correct answer is f^-1 (x) = x - 3/2

Answer:

-5

Step-by-step explanation:

because 6-1=-5 therefore the is -5

The possible turning point for the continuous function f(x) is (-2, -1)

A stationary point is called a turning point if the derivative changes sign (from positive to negative, or vice versa) at that point.

There are two types of turning point:

A local maximum, the largest value of the function in the local region. A local minimum, the smallest value of the function in the local region.

Given are the coordinates of a function,

We need to find the turning point of the same,

Since we know that the function of the graph is continuous, then (-2, -1) is the most likely turning point because at this point the function stops increasing and starts decreasing.

Hence, the possible turning point for the continuous function f(x) is (-2, -1)

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The complete question is attached

Answer:

please rate and mark as brainlest.

Step-by-step explanation:

alice will have 5067 seconds,

bob will have 11400 seconds

chandra will have 7600 seconds.

first, divide 760 by 3 to get 253.33, then just multiply each value of seconds for each person to get their value, and round.

please rate and mark as brainlest.

Answer:

(0, 0) are the coordinates of the mid point

Step-by-step explanation:

[tex]coordinate \: of \: mid \: point \: = \\ ( \frac{x1 + x2}{2} \: \: \: \: \frac{y1 + y2}{2} ) \\ ( \frac{ - 3 + 3} {2} \: \: \: \: \: \: \: \frac{7 + - 7}{2} ) \\ ( \frac{0}{2} \: \: \: \: \: \: \: \: \frac{0}{2} ) \\ (0 \: \: \: \: \: \: \: \: \: \: \: 0)[/tex]

Answer:

I have no clue.

Step-by-step explanation:

Answer:

What is a appropriately

What is a Procedure

What is a Enthusiasm

What is a Conflict

What is a Technique

What is a Obtain

What is a conflict management

The integer that represents the elevation of the friend who is swimming on the surface is 0.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 0, 1, 5, 8, 97, and 3,043. Z is a set of integers that consists of the following:

Given:

Two are scuba diving in the water, below sea level. One is swimming on the surface, at sea level.

We know that the the region below sea level represented by negative integers and the region above sea level represented by positive integers.

Thus, if the scuba driver is on the surface then it neither negative nor positive.

So, it would be represented by zero.

Hence, the integer that represents the elevation of the friend who is swimming on the surface is 0.

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Answer:

48 in³

Base Area:

[tex]\hookrightarrow \sf \dfrac{1}{2} *base*height[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{2} *3*8[/tex]

[tex]\hookrightarrow \sf 12 \ in^2[/tex]

Volume:

[tex]\hookrightarrow \sf 12 * 4[/tex]

[tex]\hookrightarrow \sf 48 \ in^3[/tex]

Answer:

67.5

Step-by-step explanation:

135/2=67.5

answer is $67.50

Answer:

$5280

Step-by-step explanation:

Since the radius of the circle is 70m, the perimeter or circumference of the circle is 2πr --> 2 * 70 * 22/7 which is 440 meters. Since each meter of fencing costs $12, the total cost of the fencing is $5280

Answer:

X = 25

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

The value of the z statistic for the considered data is given by: Option C: 1.98 approximately.

If we're given that:

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not  given, then we can estimate (in some cases) it by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex] = population standard deviation

For this case, we're specified that:

Thus, the value of the z-statistic is evaluated as:

[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{93.5 - 92}{2/\sqrt{7}} \approx 1.98[/tex]

Thus, the value of the z statistic for the considered data is given by: Option C: 1.98 approximately.

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Answer:

1 3/20

Step-by-step explanation:

Answer:

15 ×10^-6

Step-by-step explanation:

1 m = 100 cm

1m^3 = 100^3 cm^3

1m^3 = 1×10^6 cm^3

15 cm^3 = 15 / 1×10^6 = 15×10^-6 m^3

100/100 + 100/100 + 26/100 = 2 + 0,26 = 2,26

Answer:

See below for proof

Step-by-step explanation:

[tex]2csc(2x)\\\\2[\frac{1}{sin(2x)}]\\ \\2[\frac{1}{2sin(x)cos(x)}]\\ \\\frac{2}{2sin(x)cos(x)}\\ \\\frac{1}{sin(x)cos(x)}[/tex]

Thus, the identity is proven

Answer:

(a) 3x + 4 = 2x + 1

3x - 2x = 1 - 4

x = -3

Step-by-step explanation:

To solve for 'X', you must move all 'x' to the left-hand side, as seen through the working out. To balance it, you move all the lone numbers without (constants) to the right. Remember: when you move values across the 'equals' sign, the sign of the value you are moving becomes switched. For example, if you're moving 3x + 1 = 0 and you wish to move 1 to the other side, it becomes 3x = 0 ( - 1).

Answer:

x-2,y= 3, it can also be written as (2 ,3)

Step-by-step explanation:

2x-7y=5x-7-2x-7=5x-75x+2x=

7+77x=14x=2y=5x-7=5*2-7=10-..

The given graph is of the rational number f(x)=1/x(x-3)

All the numbers which are in the form of p/q where q is not equal to zero is known as rational numbers.

here, we have,

Which function represents the given graph :

The given graph represents the function f(x)=1/x(x-3)

Since the value of x can never be equals to zero in this function as graph is representing.

Hence option (b) f(x)=1/x(x-3) is the correct answer.

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Answer:

The last answer [tex]\sqrt{65}[/tex]

Step-by-step explanation:

[tex]7^2+4^2 = 65[/tex]

The formula to find it is [tex]a^2+b^2=c^2[/tex]

so [tex]\sqrt{65}[/tex] is correct

Answer:

⠀

Step-by-step explanation:

⠀

We'll solve this using the Pythagorean Theorem.

⠀

⠀

We know that,

[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} = (AC) {}^{2} + ( BC) {}^{2}}}[/tex]

⠀

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = (7) {}^{2} + ( 4) {}^{2}}}[/tex]

⠀

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 49 + 16}}[/tex]

⠀

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 65}}[/tex]

⠀

[tex]{ \longrightarrow \sf {\pmb {\qquad \: AB}}} = \pmb{ \frak{\sqrt{65}}}[/tex]

⠀

Therefore,

Based on the above scenario, the sales director conducted  an experiment.

An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.

In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.

See full question

Part A.

The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.

This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.

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Answer:

37.69

Step-by-step explanation:

There are 3 circles

Circle A ( radius = 6 cm )

Circle B ( radius = 4 cm )

Circle C ( radius = 2 cm )

the circumference of a circle is C = 2 Pi x r

from each circle we need half of the circumference

Circle A : P = 2pi x 6 / 2 = 6 pi

Circle B : P = 2pi x 4 / 2 = 4 pi

Circle C : P = 2pi x 4 / 2 = 2 pi

the perimetee of the shaded shape is = 6 pi + 4 pi + 2 pi = 12 pi = 37.69 cm