The number of large cracks in a length of pavement along a certain street has a Poisson distribution with a mean of 1 crack per 100 ft. a. What is the probability that there will be exactly 8 cracks in a 500 ft length of pavement

Answer:it should be 48 in

im not 100% sure

Step-by-step explanation:

The value of AB is,

⇒ AB = 5.9

(rounded to nearest tenth)

We have to given that,

A right triangle ABC is shown.

Now, By trigonometry formula,

we get;

⇒ cos 33° = Base / Hypotenuse

Substitute all the values, we get;

⇒ cos 33° = AB / 7

⇒ 0.84 = AB / 7

⇒ AB = 0.84 × 7

⇒ AB = 5.88

⇒ AB = 5.9

(rounded to nearest tenth)

Thus, We get;

AB = 5.9

(rounded to nearest tenth)

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Answer:

Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.

Step-by-step explanation:

To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.

The formula for the volume of a cylinder is:

V = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159.

Let's substitute the given values into the formula:

V = π * (5 cm)^2 * 0.75 cm

V ≈ 3.14159 * (25 cm^2) * 0.75 cm

V ≈ 58.909 cm^3

Answer:

\(R' = (-1,-0.5)\)

Step-by-step explanation:

See attachment for complete question.

From the attachment:

\(P = (-3,-3)\)

\(R = (1,2)\)

Dilation:

\(D_{(0.5,P)}\)

Required

Determine R'

First, subtract the coordinates of P from R. This means that R is measured from P.

\(R = (1-(-3),2-(-3))\)

\(R = (1+3,2+3)\)

\(R = (4,5)\)

Next, apply dilation factor 0.5

\(R' = R * 0.5\)

\(R' = (4,5) * 0.5\)

\(R' = (4* 0.5,5* 0.5)\)

\(R' = (2,2.5)\)

Lastly, measure R' from the origin by adding the coordinates of P to R'

\(R' = (2+(-3),2.5+(-3))\)

\(R' = (2-3,2.5-3)\)

\(R' = (-1,-0.5)\)

Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.

The coordinate of the R' after the dilation is (-1,-0.5)

Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.

Given information-

The points of PQRS are Q(-3,2), R(1,2), P(-3,-3), S(1,-3).

The given points are dilated. This dilation can be measured by subtracting the point P from each point . Thus the point of Q is,

\(Q'=Q-P\\Q'=(-3-(-3), 2-(-3))\\Q'=(0,5)\)

Similarly,

\(R'=R-P= (1-(-3),2-(-3))=(4,5)\\P'=P-P=(-3-(-3), 3-(-3)=(0,0)\\S'=S-P=(1-(-3),-3-(-3))=(4,0)\\\)

As the dilation factor is 0.5. Thus, the point of Q is,

\(Q"=(0.5)\times(0,5)=(0,2.5)\)

Similarly,

\(R"=(0.5)\times(4,5)=(2,2.5)\\P"=(0.5)\times(0,0)=(0,0)\\S"=(0.5)\times(4,0)=(2,0)\\\)

Add the points P back, to the above coordinate plane to get the dilation point. Thus the point of Q is,

\(Q'''=(0,+(-3), 2.5+(-3))\\Q'''=(-3,-0.5)\)

Similarly,

\(R'''=(2+(-3),2.5+(-3))=(-1,-0.5)\\P'''=(0+(-3),0+(-3))=(-3,-3)\\S'''=(2+(-3),0+(-3))=(-1,-3)\\\)

Thus the coordinate of the R' after the dilation is (-1,-0.5)

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Answer: f(-9)=137

Step-by-step explanation:

To find f(-9), you plug in -9 into x.

f(-9)=2(-9)²+5(-9)+20                           [solve parenthesis]

f(-9)=2(81)-45+20                                 [multiply]

f(-9)=162-45+20                                   [subtract]

f(-9)=117+20                                          [add]

f(-9)=137

Answer:

The answer is - 4/5

Step-by-step explanation:

Because the "opposite" of a number is its inverse operation, therefore it is negative 4/5

Answer:

if you want to plot 1 1/2, you go to where it says one, then plot the line in the middle between one and two

Step-by-step explanation:

to plot it you just have to ummm so theres 5 lines in between one and two right? the middle line is 1/2

if you want to plot 1 1/2, you go to where it says one, then plot the line in the middle between one and two

im not really sure for 2 1/6 sorry!

Answer:$59.66

Step-by-step explanation:

Answer:

q = -15

Step-by-step explanation:

5q = -75

Divide both sides by 5 : q = -15

Answer:

$97.50

Step-by-step explanation:

To calculate the sale price of the skateboard, we need to apply a discount of 35% to the original cost of $150:

Discount amount = 35% x $150 = $52.50

The sale price is the original cost minus the discount amount:

Sale price = $150 - $52.50 = $97.50

Therefore, the sale price of the skateboard after a 35% discount is $97.5

The sale price of the skateboard is $97.50.

To calculate the sale price, we need to first determine the amount of the discount, and then subtract that discount from the original price.

The discount is 35% of the original price:

Discount = 0.35 x 150 = 52.50

So the sale price is the original price minus the discount:

Sale price = 150 - 52.50 = 97.50

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After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Step-by-step explanation:

Since we have 9 people and 13 burgers, the problem set up is dividing 13 burgers between 9 people

\( \frac{13 \: burgers}{9 \: people} \)

= 1.44 burgers per person

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

3 - (p*q) im not sure lol

Step-by-step explanation:

Yes, she does have the enough soil as she needs 4 pounds of soil.She have \(7 \frac{5}{12}\) pound of soil.

What is Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

What is BODMAS?

The abbreviation BODMAS was created to aid kids in remembering the right order to carry out mathematical operations when solving problems. B-Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction are all abbreviated as Bodmas.

Given that;

               She has

                 ⇒ \(2\frac{1}{3} + 1\frac{3}{4}\)

                 ⇒ 17/3 + 7/4

                 ⇒ \(\frac{17*4 + 7 *3}{12}\)

                  ⇒ 68 + 21 /12

                  ⇒ 89/12

                  ⇒    \(7 \frac{5}{12}\)

So, She has \(7 \frac{5}{12}\) pound of soil and she need 4 pounds only.

Hence, Denise have enough soil to fill the flower plot.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

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

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

0.8

Step-by-step explanation:

i did math <:

Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

The coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin are;

M = (1, 2)

N = (2, 4)

P = (4, 5)

Q = (3, 3)

The coordinates of the quadrilateral RSTU is

R = (1, -2)

S =(2, -4)

T = (4, -5)

U = (3, -3)

When the quadrilateral RSTU is rotated 90 degrees about the origin, it forms the quadrilateral MNPQ which has the coordinates

M = (1, 2)

N = (2, 4)

P = (4, 5)

Q = (3, 3)

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Answer:

Step-by-step explanation:

1 )

\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)

2 )

\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)

The minimum sample size required when you want to be 75% confident that the sample mean is within fifteen units of the population mean is 632.

The minimum sample size required can be calculated using the formula for sample size based on the margin of error.

Margin of error (ME) = z · (standard deviation of the population / square root of the sample size)

Where z is the z-score for a given level of confidence.

In this case, for a confidence level of 75%, the z-score is 1.150.

Rearranging the formula to solve for the sample size, we get:

Sample size = (z · standard deviation of the population / ME)²

Plugging in the values, we get:

Sample size = (1.150 · 327.8 / 15)²

Sample size = (376.97 / 15)²

Sample size = 25.13²

Sample size = 631.58

Since sample size must be a whole number, the minimum sample size required would be 632. This means that in order to be 75% confident that the sample mean is within 15 units of the population mean, a sample size of at least 632 is required.

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Answer:

Step-by-step explanation:

Answer: ?

comfusing

Step-by-step explanation:

If f is F-measurable and non-negative on E ∈ F and µ(E) = 0

thenREf dµ = 0.ProofLet 0 ≤ s ≤ f be a simple, F-measurable function. So s =PNn=1 anχAnfor some an ≥ 0,

An ∈ F. Then IE(s) = PNn=1 anµ(An ∩ E). But µ ismonotone which means that µ(An ∩ E) ≤ µ(E) = 0 for all n and so IE(s) =0 for all such simple functions.

Hence I(f, E) = {0} and so REf dµ =sup I(f, E) = 0. ¥Lemma 4.7 If g ≥ 0 and REgdµ = 0 thenµ{x ∈ E : g(x) > 0} = 0.Proof Let A = {x ∈ E : g(x) > 0} and An = {x ∈ E : g(x) >1n}.

Thenthe sets An = E ∩ {x : g(x) >1n} ∈ F satisfy A1 ⊆ A2 ⊆ A3 ⊆ ... withA =S∞n=1 An. By lemma 4.1 µ(A) = limn→∞ µ(An). Usingsn(x) = ½ 1nif x ∈ An0 otherwise,so sn ≤ g on An we have1nµ(An) = IAn(sn)≤RAngdµ by the definition of RAn≤REgdµ

Thereom 4.4(iii)= 0 by assumption.So µ(An) = 0 for all n and hence µ(A) = 0. ¥Definition If a property P holds on all points in E \ A for some set A withµ(A) = 0 we say that P holds almost everywhere (µ) on E, written as a.e.(µ)on E.

(*It might be that P holds on some of the points of A or that the set ofpoints on which P does not hold is non-measurable.

This is immaterial. Butif µ is a complete measure, such as the Lebesgue-Steiltje’s measure µF, thenthe situation is simpler.

Assume that a property P holds a.e.(µ) on E.

Thedefinition says that the set of points, D say, on which P does not hold can becovered by a set of measure zero, i.e. there exists A : D ⊆ A and µ(A) = 0.

Yet if µ is complete then D will be measurable of measure zero.In this section we are not assuming that µ is complete.)

Answer:

I really hope this helps :), 68

Answer:

(1,5)

Step-by-step explanation:

Hope this is right.

Answer:

It's (1,0)

Step-by-step explanation:

I got it right on the quiz

Answer:

Choice B. Constant function.

Explanation:

The function shown is a horizontal straight line which is generally represented by the equation y = c which is a constant function; therefore, the correct choice is B.

Going through other choices, we see that the function cannot be a cubic function ( because the graph is flat), nor an absolute value function, nor an identity function (the function is not y = x)

.

Hence, choice B stands correct.

Given the conditional statement:

If two angles form a linear pair, then they are supplementary.

Let's write the converse of the given conditional statement.

The converse of a conditional statement is said to be the logical inverse of the statement.

Example:

Conditional statement: If p, then q

Converse: If q, then p.

Thus, from the given conditional statement, the converse is:

If two angles are supplementary, then they form a linear pair.

ANSWER:

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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