Statistics question 8

A survey is sent out to a sample of voters about an upcoming election via text messaging. Do you think this will produce an unbiased sample? Give your reasons for your answer.

Answer:

Decimal = -1.375, Fraction = -11/8

Step-by-step explanation:

Decimal:

-2.25 + 0.4x = -2.8

0.4x = -0.55

x = -1.375

Fraction:

-9/4 + 2/5x = -14/5

-45/20 + 8/20x = -56/20

8/20x = -11/20

x = -11/8

Hopefully this helps!

Brainliest please?

Answer:

115

Step-by-step explanation:

Answer:

2195

Step-by-step explanation:

filler filler filler lol

Answer: 2,195

Step-by-step explanation:

439x5

9x5=45

3x5+4=19

4x5+1=21

2195

Probabilities are used to determine the chances of selecting a kind of donut from the box.

The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068

The given parameters are:

[tex]\mathbf{Bars = 6}[/tex]

[tex]\mathbf{Chocolate = 3}[/tex]

[tex]\mathbf{Custard= 3}[/tex]

The total number of donuts in the box is:

[tex]\mathbf{Total= 6 + 3 + 3}[/tex]

[tex]\mathbf{Total= 12}[/tex]

The probability of eating a chocolate donut, and then a custard filled donut is calculated using:

[tex]\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}[/tex]

So, we have:

[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}[/tex]

Simplify

[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}[/tex]

Multiply

[tex]\mathbf{Pr = \frac{9}{132}}[/tex]

Divide

[tex]\mathbf{Pr = 0.068}[/tex]

Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068

Read more about probabilities at:

https://brainly.com/question/9000575

Answer:

13/12=37

Step-by-step explanation:

Using the z-distribution, it is found that a sample size of 1066 is required.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

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

In which z is the z-score that has a p-value of .

The margin of error is:

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

From the previous study, the estimate is of 0.23, hence [tex]\pi = 0.23[/tex].

98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so [tex]z = 2.327[/tex].

The sample size is n for which M = 0.03, hence:

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

[tex]0.03 = 2.327\sqrt{\frac{0.23(0.77)}{n}}[/tex]

[tex]0.03\sqrt{n} = 2.327\sqrt{0.23(0.77)}[/tex]

[tex]\sqrt{n} = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)^2[/tex]

[tex]n = 1065.5[/tex]

Rounding up, a sample size of 1066 is required.

A similar problem is given at https://brainly.com/question/12517818

Answer:

QR = 4.9 ft

Step-by-step explanation:

Since the triangle is a right triangle, use the Pythagorean Theorem (a² + b² = c²).

[tex]a^2+b^2=c^2\\\\a^2+1^2=5^2\\\\a^2+1=25\\\\a^2=24\\\\\sqrt{a^2}=\sqrt{24}\\\\a=4.9[/tex]

Answer:

8000

Step-by-step explanation:

Answer:

594.60

Step-by-step explanation:

basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3

Answer:

Do in calculator simple answer

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation that goes through (5,4) and (10,2)

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{5}}}\implies \cfrac{-2}{5} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{2}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{5}{2}}\qquad \stackrel{negative~reciprocal}{+\cfrac{5}{2}\implies \cfrac{5}{2}}}[/tex]

your desmos graph is really weird as the point is between 4 and 8 but with the one y=-x+5 we can see that the y intercept is 5 and the x value is 0

so the point is 0,5

Answer:

Negative

Step-by-step explanation:

Slope is negative since as x increases, y decreases.

Step-by-step explanation:

Answer:

Y=7x+3

Step-by-step explanation:

The explicit formula for calculating the sum is

[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]

The sum of the nth term of a sequence is expressed as;

[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

a is the first term

d is the common difference

n is the number of terms

For the sequence  0 + 1 + 2 + 3  +...

[tex]S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}[/tex]

Similarly for the sequence:

1 + 2+ 3 + 4+...

[tex]S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}[/tex]

Taking the product of the sum to get the explicit formula for calculating the sum

[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]

Learn more here: https://brainly.com/question/24547297

Answer:

12 9/12

Step-by-step explanation:

Answer:

exact form- 59/4

mixed numbers- 14 3/4

decimal- 14.75

Step-by-step explanation:

28 / 4 = 7

7 + 3 = 10

so, 10 is your answer

Answer:

Step-by-step explanation:

28 ÷ 4 = 7

7 + 3= 10

Answer:

x = 3.6

Step-by-step explanation:

If 2 chords of a circle intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

5x = 6 × 3 = 18 ( divide both sides by 5 )

x = 3.6

Using the intersecting chord theorem, the value of x is 3.6 cm

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given the parameters as;

the length of chords = x + 5 and 9 cm.

Using the intersecting chord theorem,

We know that If two chords of a circle intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is;

5x = 6 × 3

5x = 18

Now divide both sides by 5

x = 3.6

Learn more about circle here;

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#SPJ2

The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Given the coordinate (15, -21) and the line 5x + 2y = 4

In order to get the point on the line 5x + 2y =4, we can a point on the line

Let x = 0

5(0) + 2y = 4

2y = 4

y = 2

The point (0, 2) is on the line.

Find the distance between the point (15, -21) and (0, 2) using the distance formula

[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]

Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Learn more here: https://brainly.com/question/22624745

Answer:

If you meant -3 + 6, then the correct answer is 3.

You should put some extra effort in composing questions with all the required information, like a picture maybe.

Answer:

your answer has to be 3

Step-by-step explanation:

if you were to move to the right in number line you have to add so -3+6 is equals to 3

Answer:

72

please mark brainlest

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

7x9=63

63-22=41

41+31= 72

Hope this helps

Answer:

Move all terms that don't contain c to the right side and solve.

c = 6

Step-by-step explanation:

Using the slope - intercept form to represent the scenario described, the equation obtained would be y = 0.35x + 8

The cost per ride represents the intercept = $8

The cost per mile represents the slope = $0.35

The slope - intercept form of a linear equation is expressed as :

Therefore, the slope intercept form for the cost of taxi ride is y = 0.35x + 8

Learn more : https://brainly.com/question/18796573

Answer:

30 and 35

Step-by-step explanation:

Put this question into equation form:

Let x be the smaller number, if the larger number is 5 more and the total is 65:

x + 5 + x = 65

2x + 5 = 65

Subtract 5 from both sides

2x + 5 - 5 = 65 - 5

2x = 60

Divide both sides by 2:

2x ÷ 2 = 60 ÷ 2

x = 30

As the larger number is 5 bigger:

30 + 5 = 35

So the two numbers are 30 and 35.

Hope this helps!

Answer:

Small number 30

Large Number 35

Step-by-step explanation:

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

Now solve equation B for x to get the revised equation B:

x - y = 5

x = 5 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

5 + y + y = 65

5 + 2y = 65

2y = 60

y = 30

Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:

x + y = 65

x + 30 = 65

X = 35

Therefore the large and small number us 35 and 30 respectively.

Answer:

_    _

1    2      all the way to twenty

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

Profit, revenue and cost are related, and can be calculated from one another.

The cost function is given as:

[tex]\mathbf{C(x) =30x + 150}[/tex]

The revenue function is given as:

[tex]\mathbf{R(x) =-0.5(x -90)^2 + 4050}[/tex]

(a) Calculate the profit function

This is calculated using:

[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]

So, we have:

[tex]\mathbf{P(x) =-0.5(x -90)^2 + 4050 - 30x - 150}[/tex]

Evaluate like terms

[tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]

(b) The domain of the profit function

When profit is 0 or less, then it becomes no profit.

Hence, the domain of the profit function is x > 0

(c) The profit for 60 and 70 items

Substitute 60 and 70 for x in P(x)

[tex]\mathbf{P(60) =-0.5(60 -90)^2 - 30 \times 60 + 3900}[/tex]

[tex]\mathbf{P(60) =1650}[/tex]

The profit when producing 60 items is 1650

[tex]\mathbf{P(70) =-0.5(70 -90)^2 - 30 \times 70 + 3900}[/tex]

[tex]\mathbf{P(70) = 1500}[/tex]

The profit when producing 70 items is 1600

(d) Why producing 10 more units less profit

When a function reaches the optimal value, the value of the function begins to reduce.

This means that, producing 10 more units takes the profit function beyond its maximum point.

Read more about profit, cost and revenue at:

https://brainly.com/question/11384352

Answer:1-1/3

2-16 in.

3-10.49

4-1/10

Step-by-step explanation:

i hope this helps