How many minutes does it take Lexus to skateboard 2 1/2 miles?

The probability that in any given period of 400 days there will be an accident on one day is 0.2707

Given that;

In a certain industrial facility, accidents occur infrequently. it is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other.

n = 400, p = 0.005

Poisson distribution is given by;

e P(x) = (λˣe^λ ) / x!

Here, Mean(λ) = np

                        = 400*0.005

                        =2

The probability that there will be an accident on one day;

(P(x = 1)) = (λxe-λ)/x!

             = 2*e-2

             = 0.2707

The probability that in any given period of 400 days there will be an accident on one day is 0.2707

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The mean of the sample size of 25 would fall between 68 and 72 68% of the time.

Using the 68-95-99.7 rule, if a variable is normally distributed with mean μ and standard deviation σ, then:

Since the interval we are interested in (68 to 72) falls within the 68% of the data that falls within 1 standard deviation of the mean, it means that 100% - 32% = 68% of the data falls within this interval.

Thus, the mean of this sample size of 25 would fall between 68 and 72 68% of the time.

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Answer:

y = -2x + 17

Step-by-step explanation:

y has to equal 5:

incorrect

y = -2x - 17

y = -2(6) - 17

y = -12 - 17

y = -29

incorrect

y = -2x - 16

y = -2(6) - 16

y = -12 - 16

y = -28

incorrect

y = -2x + 16

y = -2(6) + 16

y = -12 + 16

y = 4

correct

y = -2x + 17

y = -2(6) + 17

y = -12 + 17

y = 5

Answer:

Step-by-step explanation:

twelve triangles make 2 hexagons, which means there are 12 groups of in 2

\(\\ \sf\ast\Rrightarrow x^2-400\)

\(\\ \sf\ast\Rrightarrow (x)^2-(20)^2\)

\(\\ \sf\ast\Rrightarrow (x+20)(x-20)\)

Step-by-step explanation:

By the formula, [a²-b²=(a+b)(a-b)]

Hence, first option is correct

Answer:

24

Step-by-step explanation:

Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.

So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .

So we have 24 different HiFi systems are available to purchase from this retailer

The square root of the algebra value x is 20.

Substitution in algebra simply means putting numbers where the letters are.

There are three algebra values given which are; x, y, and z

x = 2y

y = (1/4) of z

z = (1/2) of 1600

hence,

z = 1/2 × 1600

z = 800

we substitute the value of z in y = (1/4) of z

so y = 1/4 × 800

y = 200

also, we substitute the value of y in x = 2y

so x = 2 × 200

x = 400

take the square root of x and its value

√x = √400

√x = 20.

Therefore, by proper substitution of the algebra values, the square root of x is derived to be 20.

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The number of hours when the bloodstream has 1 mg of medication remaining is 3.75 hours

From the question, we have the following parameters that can be used in our computation:

M(t) = 20e^(-0.8t)

When the bloodstream has 1 mg of medication remaining, we have

M(t) = 1

Substitute the known values in the above equation, so, we have the following representation

20e^(-0.8t) = 1

Divide by 20

e^(-0.8t) = 0.05

Take the natural logarithm of both sides

-0.8t = -3

Divide

t = 3.75

Hence, the duration is 3.75 hours

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Answer:

$825.28

Step-by-step explanation:

First, we need to calculate the 15% off sale:

870(0.85) = 739.50

Now, we will calculate and add on the sales tax:

739.50(1.116) = 825.28

So, the final price of the dresser will be $825.28

Hence, the total cost of the dresser is $ \(15.138\).

What is the percentage?

Percentages are generally defined as a ratio of any value to the whole value multiplied by \(100\).

The symbol used to represent the percentage is %. Percentage means a number or a ratio represented in the form of fractions of \(100\). It is represented using the percentage sign ‘%’.

Here given that,

A dresser is normally priced at $\(870\). ​ ​This weekend however, there is a sale where everything is \(15\)% off. ​ ​If the sales tax on items is \(11.6\)%,

Firstly we will calculate the \(15\)% off sale is

\(15\)%\(=\frac{15}{100}\\\\\)

\(15\)%\(=0.15\)

So,\(870(0.15) =130.5\)

Then,

\(\frac{11.6}{100}=0.116\) %

The sales tax on items is \(11.6\)% is

\(130.5(0.116)=15.138\) $

Hence, the total cost of the dresser is $ \(15.138\).

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1. Observe problem

I think 200ft and 125 ft are both sides, so:

sqrt(200^2+125^2) is 25sqrt{89}

which is

235.84952

Answer:

foreign stamps = 299

US stamps = 353

Step-by-step explanation:

Let number of foreign stamps be x.

Given she has 54 more U.S stamps than foreign , US stamps = x +54

Total stamps = US + Foreign

652 = x + 54 + x

652 - 54 = 2x

598 = 2x

x = 299

Answer:

Elizabeth what??????

Answer:

B. - ( -3, -2 )

Step-by-step explanation:

Answer:

Thamkhao

Step-by-step explanation:

Answer: 12.566

Step-by-step explanation:

A= π * (4/2)^2 = 12.566

The formula:

\(A = \pi r^2\)

The only value we don't have is r(radius)

The raduis is half the diameter, and the diameter is 4, making the radius 2. Now that we know all the values we need, we can plug them into our formula.

\(A = 3*2^2\)

\(A = 3*4\)

The quotient of the expression (28a⁴b + 4a²b² - 12ab) / (4ab) is;

The expression is given below as follows:

(28a⁴b + 4a²b² - 12ab) / (4ab)

We simplify the given expression and find the quotient as follows:

Divide each term in the numerator with the denominator.

The denominator is 4ab

28a⁴b ÷ (4ab) = 7a³b

4a²b² ÷ (4ab) = ab

-12ab ÷ (4ab) = -3

Combining the results, the quotient of the expression is:

7a³b + ab - 3

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

The conclusion which we get after finding the common ratio of the series is that it converges.

The common ratio of the above mentioned series is 2/ 5 .

Since this ratio is less then 1,

Therefore, the series converges .

A convergent series is one that has a finite total. Otherwise, it is referred to as a diverging series.

Conversion is the meeting of some rays or lines, whereas diversion is the activity of turning something away from its direction.

The terms converge and diverge in mathematics apply to the behaviour of infinite series. A series converges to a limit (or is said to be convergent) when its values move closer and closer to the value of the limit, whereas a series diverges when its values get farther and farther away from the value of the limit.

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Answer:

10x^2 + 8x

Step-by-step explanation:

Area of the outer rectangle = 5x(3x + 2) = 15x^2 + 10x

Area of the inner rectangle = x(5x - 2) = 5x^2 - 2x

Area of the shaded region = (15x^2 + 10x) - (5x^2 - 2x)

= 10x^2 + 8x

5x(3x + 2) - x(5x - 2) required expression.

Step-by-step explanation:

I get there are 2 rectangles in figure.

How can I get the area of shaded region? What if, I subtract the area of inner rectangle from outer rectangle. Ya It will surely work (⌒o⌒).

Now,

Area of outer rectangle = \(\sf length \times breadth\)

\(5x \times (3x + 2)\)

\(5x(3x + 2)\)

Again,

Area of inner rectangle = \(\sf length \times breadth\)

\(=x \times (5x - 2)\)

\(=x(5x - 2)\)

\( \sf Area \:of \:Shaded\: region = \: Area_{\:outer}-Area_{\:inner}\)

\( \sf \: 5x(3x + 2) - x(5x - 2)\)

If We simplify further then,

= 15x² + 10x - 5x² + 2x

= 10x² + 12x

Area of shaded region is 10x² + 12x in a simple way.

Answer:

Slope = \(\frac{1}{2}\) , X-intercept = 8 , Y-intercept  = -4

Step-by-step explanation:

the following equation is given in slope intercept form which is y = mx + b where m is the slope and b is the y intercept

since m = \(\frac{1}{2}\) and b = -4, we can say our slope is \(\frac{1}{2}\) and y intercept is -4.

Recall that x intercept occurs when y = 0 so plug y = 0 in the equation then solve for x

0 = \(\frac{1}{2}\)x - 4

add 4 to both sides,

4 = \(\frac{1}{2}\)x

multiply by 2 on both sides,

4*2 = x

8 = x

x = 8

so our x-intercept is 8

Rewriting the given trigonometric form using trigonometric identities by eliminating fraction form gives \(-cotx.cosx.(sinx+1)\)

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.

There are numerous distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.

The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios. The six trigonometric ratios are the source of all fundamental trigonometric identities.

We know that,

\(cot^{2} x = \frac{cos^{2}x }{sin^{2}x }\)

\(1+cscx = (1+\frac{1}{sinx} ) = \frac{sinx+1}{sinx}\)

Rewriting the given trigonometric form using trigonometric identities by eliminating the fraction form gives\(-cotx.cosx.(sinx+1)\)

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Answer:

D and F

Step-by-step explanation:

Answer:D and F

Step-by-step explanation:

Answer:

Val will need 6b+8 seeds

Step-by-step explanation:

Let's say, Val will plant 2 seeds in one garden, and 4 seeds in another garden. How many seeds does Val need?

Well, the answer to that is simple- it's just 2+4, which is 6.

For this question, we use a similar method. Just add 5b+8 to b.

b+5b+8 = 6b+8

Let me know if this helps!

The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

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The equation of the given line is:

Slope intercept form is: y = -x + 6

Point slope form is: (y - 6) = -1(x - 0)

Standard form is: x + y = 6

The formula for the linear equation between two coordinates is:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

The two coordinates are:

(0, 6) and (1, 5)

Thus:

(y - 6)/(x - 0) = (5 - 6)/(1 - 0)

This can be simplified as:

(y - 6) = -1(x - 0)

It can be further written as:

y - 6 = -x - 0

y = -x + 6

The formula for linear equation in standard form is:

Ax + By = C

Thus, we have: x + y = 6

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Answer:

You'll spot the time signature in the beginning of the music – it's two numbers stacked vertically. The top number tells you how many beats there are in one measure.

Step-by-step explanation:

hope it helps

2375 is the amount of his investment and 625 is his total profit

The discount on the shares is 5%, so the price of each share is 100 - (5/100)100 = 95.

The total price Yoezer paid for the shares is 2595 = 2375.

To calculate Yoezer's total profit, we need to find the total dividend he received and the price he sold the shares for.

The dividend rate is 15%, so Yoezer received a dividend of (15/100)100 = 15 on each share.

The total dividend he received is 1525 = 375.

The price Yoezer sold the shares for was increased by a premium of 5%, so the selling price was 100 + (5/100)100 = 105.

The total selling price for the shares is 10525 = 2625.

Yoezer's total profit is the selling price minus the price he paid for the shares plus the dividends he received. This is 2625 - 2375 + 375 = 625.

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Answer:

t =28

Step-by-step explanation:

A pentagon is formed with 3 triangles so 3*180 is 540 so the total is 540 degrees.

Now we add all the angles up 96+102+147+139 = 484.

540-484 = 56

2t = 56

t = 28

nice profile pic btw