A factory makes bicycles.Out of 300 bicycles, 2 were found to have defective brakes
A.what is the experimental probability that the next bike manufactured will have defective brakes?
B. Predict how many bikes out of 2,100 will have defective brakes.

Answer:

a) The mean μ = 70.\(\overline 5\)

The variance = 127.3203

The standard deviation is 11.28363

b) i) The first quartile is 63.25

ii) The third quartile is 75.5

iii) The 90th percentile is 88.2

Step-by-step explanation:

a) The city temperatures ae presented as follows;

Fahrenheit; 68, 75, 87, 99, 72, 72, 65, 64, 61, 70, 77, 70, 67, 73, 83, 55, 58, 54

The data points in the sample, N = 18

The mean, μ = ∑\(x_i\)/N

Where;

\(x_i\) = The value of each data point

N = The sample size = 18

From Microsoft Excel, we have;

∑\(x_i\) = 1,270

∴ μ = 1,270/18 = 70.\(\overline 5\)

The mean μ is 70.\(\overline 5\)

The variance is given as follows;

\(\sigma^2 =\dfrac{\sum \left (x_i-\mu \right )^{2} }{N - 1}}\)

The variance = 127.3203

The standard deviation is given as follows;

\(\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N - 1}}\)

We get σ = 11.28363

The standard deviation, σ = 11.28363

b) i) The first quartile, Q₁, is the (n + 1)/4th term

∴ The first quartile is the (18 + 1)/4 = 19/4 = 4.75th term

54, 55, 58, 61, 64, 65, 67, 68, 70, 70, 72, 72, 73, 75, 77, 83, 87, 99

The first quartile = 61 + (64 - 61)×0.75 = 63.25

ii) The third quartile, Q₃, is the 3×(n + 1)/4th term

∴ The third quartile is the 3×(18 + 1)/4 = 57/4 = 14.25th term

Therefore;

Q₃ = 75 + (77 - 75)×0.25 = 75.5

The third quartile is 75.5

iii) The 90th percentile = 90/100 × (18 + 1)th term = 17.1th term

∴ The 90th percentile = 87 + (99 - 87)×0.1 = 88.2

Answer: B i think

Step-by-step explanation:

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

Based on the definition of the formula unit, the only one that is an example of this concept is NaCl.

In chemistry, this concept refers to the representation of an ionic compound. This formula differs from others because it displays the lowest possible ratio in which the ions have the same charges and therefore the compound is neutral.

A classical example of this concept is NaCl because this includes a cation (positively charged) and an anion (negatively charged). Moreover, in this formula, the compound shows the lowest possible ratio between the two elements.

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Area of circle of diameter with 13cm is 132.74

What is area of circle?

Given :

Diameter of circle, d = 13cm

Radius of a circle, r = d/2

=13/2

=6.5

Area of circle = πr²

= 3.142 * 6.5 * 6.5

= 132.74

Hence, the Area of circle of diameter with 13cm is 132.74.

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The three quadratic equation with different maximum and/or minimum values are y = (x-4)² – 1, y = -(x-4)² + 1, and y = -3(x-4)² + 3.

Quadratic equation:

In math, quadratic equation is the algebraic equation of the second degree in x.

The general form of quadratic equation is

ax² + bx + c = 0,

where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0).

Given,

Here we need to find the three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values.

As per the definition of quadratic equation, here we have to write the quadratic equation, that have the roots of 3 and 5,

Here the problem was going to call for two equations but then we have realized that it could be as simply as multiplying the a and c values by -1. Therefore, the equation are,

=> y = (x-4)² – 1,

=> y = -(x-4)² + 1,

=> y = -3(x-4)² + 3.

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Consider that the revenue is calculated as,

The current revenue of Mrs. Nicely is,

Let Mrs. Nicely lost 'x' students due to the fee hike. Now, there are (21-x) students remaining in her.

Given that every $4 increase in price results in loss of 1 student. The initial price was $20. So the price after 'x' students left will be (20+4x)$.

So the revenue function becomes,

Now, obtain the stationary points as,

Apply the second derivative check,

Since the second derivative is less than zero, the revenue function is maximum at x=8.

Thus, Mrs Nicely will have maximum revenue when 8 students have left, and the remaining students are (21-8=)13.

The corresponding price per student is calculated as,

So Mrs. Nicely should charge $52 for tutoring in order to maximize her revenue.

And the maximum revenue is calculated as,

Thus, the maximum revenue she can expect is $676 each week.

the answer to your first quesion is 2.625 pounds and the other one is .6 gallons of water

The line segment FG represent the volume of water decreases in Katherine's water bottle.

From the given graph, x-axis represents the distance from home (km) and the y-axis represents the volume (L).

The line segment FG represent the volume of water decreases in Katherine's water bottle, the line segment HI represent the volume of water increases in Katherine's water bottle and the line segment KL represents there is no change in water level.

Therefore, the line segment FG represent the volume of water decreases in Katherine's water bottle.

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Answer:

well, pick any old x, like for example x = 0

find y

0 - y = 9

y = -9

so

(0 , - 9)

now pick another x, like x = 1

3 - y = 9

y = 3-9 = -6

so

( 1 , - 6 ) and on and on until bored

Step-by-step explanation:

Answer:

Contributions to a 401(k) are pre-tax, meaning they are deposited before your income taxes are deducted from your paycheck. However, when in retirement, withdrawals are taxed at your then-current income tax rate. Conversely, there is no tax savings or deduction for contributions to a Roth IRA

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

4x + 7x - 2 + 5x - 10 = 180

16x - 12 = 180

16x = 192

x = 12

m<A= 4x = 4(12) = 48

m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82

m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50

Step-by-step explanation:

.

A=4n

B=4n+-9

C=9n-4n

D=(n-36)4

E=4(n-9

The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.

Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.

So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided

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The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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A cross section is the plane resulting from cutting a solid.

If we cut a corner of a cube the resulting cross section will be a triangle and therefore it will have 3 sides.

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

Angles AFB and CFE are vertical angles, so have the same measure. That means arc AB has the same measure of arc CE. The latter arc is 27° more than arc DE, which is 90°. So, we have ...

  arc AB = arc CE

  21x -9 = 90 +27

  21x = 126 . . . . . . add 9, collect terms

  x = 6 . . . . . . . divide by 21

Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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\(d^2=(x_2-d_1)^2+(y_2-y_1)^2\\ \\ d^2=(9-1)^2+(18-12)^2\\ \\ d^2=64+36\\ \\ d=\sqrt{100}\\ \\ d=10\)

Answer:

I'm sorry hindi ko po alam

Answer:

2x

Step-by-step explanation:

5, 10, 20, 40, 80

each step is multiplying by 2, therefore the sequence is 2x

Answer:

4% per annum

Step-by-step explanation:

Recall :

Simple interest = principal * rate * time

Given that :

Time = 3 ; simple interest = 84 ; principal = 700

84 = 700 * rate * 3

84 = 2100 * rate

Rate = 84 /2100

= 0.04

= 0.04 * 100% = 4% per annum

Answer:

bam

Step-by-step explanation:

bam

Answer:

750 meter

Step-by-step explanation:

1500 cm = 15 m

25 m × 15 m = 375 × 2 = 750

length × width = ### × 2 = perimeter