graph g(x) = -8|x| +1

a)The probability that all 10 will arrive within two days is 0.3486.

b)  P(x = 8) = 0.1937

c)  P(x=5)= 0.0014

d)  mean = 9

e) Standard deviation = √0.90 = 0.9486

The binomial distribution model allows us to compute the probability of observing a specified number of "successes" when the process is repeated a specific number of times and the outcome for a given patient is either a success or a failure.

Given:

p = 90/100 = 0.90

q(probability of success) = 1 - p = 1 - 0.90 = 0.10

n = 10

a)The probability that all 10 will arrive within two days

P(x = 10) = 0.3486

b) P(x = 8) = 0.1937

c) P(x=5)= 0.0014

d) mean = np = 10 × 0.90 = 9

e) Variance = npq = 10 × 0.90 × 0.10 = 0.90

Standard deviation = √0.90 = 0.9486

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Answer:

2l + 2w = 60

Step-by-step explanation:

Answer:

< $0 --------------$35------ $50>

Step-by-step explanation:

I see it's still the same, the maximum discount can be put off is still $50

and you can find that out by discount 30% off 50 to get $35 :)

< $0 --------------$35------ $50>

Answer:          D. 8x² + x + 3

Sum means the answer to an addition problem. To find the sum of polynomials, we will add like terms.

Like terms can be combined using addition or subtraction and have the same variables. Constants are also like terms with each other because they have no variables.

(4x² + 1) + (4x² + x + 2)      Starting equation from the question

= 4x² + 1 + 4x² + x + 2       Remove brackets

= 4x² + 4x² + x + 1 + 2       Rearrange to group like terms together

= 8x² + x + 1 + 2                Add like terms with the same 'x²' variables

= 8x² + x + 3                     Add like terms that are constants

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The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).

A function is defined as a relation between the set of inputs having exactly one output each.

On a coordinate plane, a parabola opens down with solid circles along the parabola at (-3, -5), (-2, 0), (-1, 3), (0, 4), (1, 3), (2, 0), (3, -5).

The domain is all real numbers.

The range is all real numbers.

If for an interval I, when x decreases meanwhile staying in interval I, the function's output increases (or can stay same), then we say that the function is increasing in the interval.

The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).

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Answer:

A

Step-by-step explanation:

The statement "Grouped data is a data that has not been organized into intervals" is false.

Data presented in class intervals, such as 0-20, 20-40, and so on, is referred to as "grouped data."

Ungrouped data is information presented as individual values or integers, such as 15, 63, 34, 20, 25, and so on.

Assume we have a set of data with values between 0 and 50, such as 2, 17, 0, 1, 8, 19, 43, 2, 1, 32, and so on. In this situation, we may divide the data into categories like 0-10, 10-20,...,40-50. The data in this case are simply grouped.

Hence, the statement "Grouped data is a data that has not been organized into intervals" is false.

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Answer:

x < 8

Step-by-step explanation:

9x + 3 > 10x - 5

9x - 10x > -5 - 3

-x > -8

x < 8

Answer:

A. $152.00

Step-by-step explanation:

I'm 99% sure the net salary is just the 220 (gross salary) minus everything else taken away which is (42 + 7 + 15 + 4) = 68. 220 - 68 = 152 so Bob's net salary would be 152

Among all the three ordered pairs no one lies on the graph of the function  f(x)=[tex]-25^{x} +1[/tex].

Given The value of a  function f(x)=[tex]-25^{x} +1[/tex]

If we want to check whether it will lie on the graph of a function or not then we have to just put those points in the function ,if the function satisfies means they lie on that graph otherwise not.

Taking first ordered pair :(1,625)

value of x is 1 and  value of y is 625.

we have to put in the function so

625=-[tex]25^{1}+1[/tex]

625 is not equal to -24 so it does not satisfy.

Taking second ordered pair :(0,-25)

-25=-25 raise to power 0 +1

-25  is not equal to 1 so it does not satisfy.

Taking third ordered pair: (-1,-1)

-1=-1/25+1

-1 is not equal to 24/25 so it does not satisfy.

Hence among all the ordered pairs none will lie on line of the given function.

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Answer:

A.

Step-by-step explanation:

let me know if you want an explanation :))

Answer:

A

Step-by-step explanation:

The correct option would be The margin of error is quite small compared to the change year over year, so it is a significant issue option third is correct.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C.

As the value of MOE is 0.13 degrees

It is a serious problem because the margin of error is quite narrow in comparison to the shift from year to year.

Thus, the correct option would be The margin of error is quite small compared to the change year over year, so it is a significant issue option third is correct.

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Answer:

the answer is 13.73 %

Answer:

To find the slope:

[tex]\frac{(y_{1} - y_{2})}{(x_{1} - x_{2})} =\frac{(-3-(-4))}{(-5-0)} =\frac{1}{-5}[/tex]

Hope it helps!

Answer:

141 cubic inches

Step-by-step explanation:

The candle can be modeled as a cylinder.

To find how much wax is needed to make the candle, calculate the volume of the cylinder.

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute the given values into the formula and solve for V:

[tex]\implies \sf V=3.14 \cdot 3^2 \cdot 5[/tex]

[tex]\implies \sf V=3.14 \cdot 9 \cdot 5[/tex]

[tex]\implies \sf V=28.26 \cdot 5[/tex]

[tex]\implies \sf V=141.3\:in^3[/tex]

Therefore, the amount of wax needed to make the candle is 141 cubic inches (nearest whole cubic inch).

Answer:

Look down my answer↓:

Step-by-step explanation:

Explanation:

A function is a relationship where any one x-value/input only has one corresponding y-value/output. (note: a y-value can have multiple x-values).

> This can be called "assigning one y-value to every x element".

The vertical line test places a line that would connect all y-values of an x-value (that is, if it were to have multiple y-values). If multiple points can be found along the vertical line, it is, therefore, by the definition of a function, not a function. (Because an x-value will have more than one y-value).

So, a graph that fails the vertical-line test does not represent a function because an x-value will correspond with more than one y-value.

hope this helps!!

∠ A = 132°

Step-by-step explanation:

∠ A + ∠C = 180° (Angle sum of cyclic quadrilateral)

∠ A = 180° - ∠ C = 180° - 48°

∠ A = 132°

Answer:

y = m(x - 2) - 4

Step-by-step explanation:

Equation of a straight line is given by;

y = mx + c

Take a point on the line (x, y) and the given point (2, -4)

gradient = change x/ change in y

gardient(m) = y +4/ x - 2

m(x-2) = y + 4

y = m(x - 2) - 4

1) Alternate exterior

2) Corresponding

3) Alternate exterior

4) Alternate exterior

5) Vertical

6) Corresponding

7) Adjacent

8) Corresponding

9) Corresponding

10) Alternate interior

The total fencing material required to surround the playground of length l and width w and 2 flower beds of side a is 2 ( l + b ) + 8a units.

The perimeter of a two-dimensional shape is the total length of the outline.

Perimeter of rectangle = 2 ( l + b ).

Perimeter of square = 4 × side.

Given the length of the playground is l and its width is w and the length of each side of the flower beds is a.

The total fencing material required = perimeter of playground + 2 *                             Perimeter of flower bed.

                        =  2 ( l + w ) + 2 * 4a

                        = 2 ( l + w ) + 8a units.

Therefore, The total fencing material required to surround the playground and flower beds is 2 ( l + w ) + 8a units.

The question seems incomplete, its options could be:

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The beginning, middle and end part of the song is 40, 120 and 240 seconds respectively

let

x + 1/6x + 1/2x = 400

(6x+x+3x) / 6 = 400

10/6x = 400

x = 400 ÷ 10/6

x = 400 × 6/ 10

= 2400 / 10

= 240 seconds

Therefore,

End part = x

= 240 seconds

Beginning = 1/6x

= 1/6 × 240

= 40 seconds

Middle = 1/2x

= 1/2 × 240

= 120 seconds

Complete question:

The beginning is one sixth as long as the end. The middle is one half as long as the end. Find the length of each part

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Question 1

The complement of set B is all the elements in S but that are not in B, which is [tex]\{2, 4, 5, 9, 10, 11, 12, 13, 14, 17, 19\}[/tex].

We want to find the intersection of set A and the complement of set B, which is the set of all elements that both sets contain.

This is {2, 9, 10, 12}, meaning there are 4 elements.

Question 2

Following a similar logic as the last problem, the complement of set A is [tex]\{1,3,4,5,6,7,11,13,14,15,17,18,19\}[/tex].

Therefore, the desired set is [tex]\{1,3,6,7,15,18\}[/tex], and thus there are 6 elements.

The equation of line is y = 3x + 3 that passes throgh the provided points option (C) y = 3x + 3 is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The options are missing.

The options are:

A) y = 3x - 3

B) y = -3x + 3

C) y = 3x + 3

D) y = -3x - 3

From the points [tex]\left(-2,3\right)[/tex] and [tex]\left(-1,0\right)[/tex]:

[tex]\rm y\ =\ \dfrac{3}{-1+2}\left(x+1\right)[/tex]

y = 3(x + 1)

y = 3x + 3

Thus, the equation of line is y = 3x + 3 that passes throgh the provided points option (C) y = 3x + 3 is correct.

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The situations described can be classified as experiment, and observational study.

An experiment is a tool to test a hypothesis about the occurrence of a particular phenomenon. According to the above, it can be stated that student-centered instruction can be classified as an experiment because this method of education is used and it is verified whether it is effective or not.

An observational study is a methodology to identify the occurrence of an event in a particular situation. From the foregoing, it can be inferred that the participation of women in the 2016 election is the product of an observational study because only the number of voters should be counted and the number of women who participated should be identified.

Note: This question is incomplete because there is some information missing. Here is the information missing.

OPTIONS:

Does learner-centered instruction increase students' success rates in maths?

What proportion of registered women voters voted in the 2016 U.S. presidential election?

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(7\times 10^5) + (4 \times 10^2)}\\\mathsf{= 7\times 10^5 + 4 \times 10^2}[/tex]

[tex]\large\textsf{Let's solve for the LEFT SIDE first}[/tex]

[tex]\mathsf{7\times 10^5}\\\\\mathsf{10^5}\\\mathsf{= 10\times10\times10\times10\times10}\\\mathsf{= 100 \times 100\times 10}\\\mathsf{= 10,000 \times 10}\\\mathsf{= 100,000}\\\\\mathsf{7\times100,000}\\\mathsf{= 700,000}[/tex]

[tex]\large\textsf{NEW EQUATION: }\bold{700,000} + {4}\times 10^2[/tex]

[tex]\large\textsf{Now, let's solve for the RIGHT SIDE last}[/tex]

[tex]\mathsf{4\times 10^2}\\\\\mathsf{10^2}\\\mathsf{= 10\times10}\\\mathsf{= 100}\\\\\mathsf{4\times100}\\\mathsf{= 400}[/tex]

[tex]\large\text{NEW EQUATION: 700,000 + \bf 400}[/tex]

[tex]\large\text{700,000 + 400}\\\\\large\text{SIMPLIFY IT!}\\\\\large\text{= 700,400}[/tex]

[tex]\huge\text{Therefore, the answer should be: \boxed{\mathsf{700,400}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The wire breaks if the load [tex]X[/tex] exceeds some amount. So what you're asked to do is find [tex]P(X\ge74)[/tex] and [tex]P(X\ge89)[/tex].

In either case, transform [tex]X[/tex] to the random variable [tex]Z[/tex] that's normally distributed with expected value 0 and standard deviation 1.

[tex]P(X\ge74) = P\left(\dfrac{X-80}3 \ge \dfrac{74-80}3\right) \\ = P(Z \ge -2) \\ = 1-P(Z < -2) \approx 0.9773[/tex]

[tex]P(X\ge89) = P\left(\dfrac{X-80}3 \ge \dfrac{89-80}3\right) \\= P(Z \ge 3) \\= 1 - P(Z < 3) \approx 0.0013[/tex]

Answer: When a coin is tossed and a die is rolled the probability of getting a head or an even number is = 3/4

Step-by-step explanation:

probability : The ratio of the favorable outcome to the total outcomes is gives the probability.

        (1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)

        (1,H),(2,H),(3,H),(4,H),(5,H),(6,H)

       (2,T),(4,T),(6,T)

        6+3 = 9

Therefore the probability is given by 9/12 = 3/4

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Answer: The probability of getting a head or an even number is = 3/4

  (1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)

      So, no. of possible outcomes 12

           (1,H),(2,H),(3,H),(4,H),(5,H),(6,H)

            (2,T),(4,T),(6,T)

       6+3 = 9

Total outcomes = 12

Probability = [tex]\frac{No. of favorable outcomes}{total outcomes}[/tex]

Probability for this case is =  [tex]\frac{9}{12} =\frac{3}{4}[/tex]

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The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The distance traveled by passenger train = 245 miles

The distance traveled by freight train = 245 miles

The time takes for both trains is the same.

Let's suppose the rate of the passenger train is x and the rate of the freight train is y;

As we know,

Distance = speed×time

245/x = 200/y

200x = 245y

200x - 245y = 0 ..(1)

x = 15 + y ..(2)

Equations (1) and (2) represent the situation.

After solving equations (1) and (2):

[tex]\rm x=\dfrac{245}{3}= 81.67\\\\\\\:y=\dfrac{200}{3}=66.67[/tex]

Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

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The regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

If everything in a store is 20% off, and the discounted price of an item is $18.00

Let's suppose the regular price is x

(100-20)% of x = 18

80x/100 = 18

x = $22.5

Thus, the regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00

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