Which formula is used to find circular mil area?

Final answer:

The probability of sunshine on any given day is 0.64, and the probability that it is sunny given that sunshine has been forecasted is 0.75.

Explanation:

To address the question, we'll first define the given probabilities:

Probability of a rainy day is the complement of a sunny day (P(Rainy)) = 0.4, since P(Sunny) + P(Rainy) = 1

Part I: Finding the probability of sunshine

To find the overall probability of sunshine, we use the law of total probability:

Part II: Finding the probability of sunny given sunshine

To find the probability of sunny given that the forecaster has predicted sunshine, we use Bayes' theorem:

To simplify the equation using logarithmic functions, take the natural logarithm of both sides and use properties of logarithms to solve for x and y. Then substitute the values in the simplified expression to evaluate it.

To simplify the expression on the left side of the equation using the properties of logarithmic functions, let's work step by step:

Answer:

[tex]y=\frac{-1}{3}x+6[/tex]

Step-by-step explanation:

We have to find the equation of the line from the options given which is perpendicular to the line y=3x+2.

In order to do so we must know that , the product of the slope of the two perpendicular lines is always -1

Hence

if the slope of line A is "m" and the line B which is perpendicular to A, will have [tex]-\frac{1}{m}\\[/tex]

Also , in the slope intercept form of any equation the coefficient of x is our slope. Hence the slope of y=3x+2., is 3

Hence the slope of any line perpendicular to this will be [tex]\frac{-1}{3}[/tex]

as the product of two slopes is -1

Hence in the given options only c options has the line whose slope is  [tex]\frac{-1}{3}[/tex]

Answer: Option A is correct  that is [tex]1 +1+\frac{1}{2} +\frac{1}{6}[/tex]

Explanation:

we will substitute the values of n in given expression

[tex]\sum_{n=1}^{4}\frac{n}{n!}[/tex]

when substituting n=1 we get  in [tex]\sum_{n=1}^{4}\frac{n}{n!}[/tex]=[tex]\frac{1}{1!}[/tex]

when n=2  we get [tex]\frac{2}{2!}[/tex]

when n =3 we get [tex]\frac{3}{3!}=\frac{3}{6}=\frac{1}{2}[/tex] ;3 factorial that is 3! = 3 *2*1 = 6

when n=4 we get  [tex]\frac{4}{4!}=\frac{4}{24}=\frac{1}{6}[/tex];4! = 4*3*2*1 = 24

Note: factorial means the product of the terms getting multiplied  till 1

suppose n! will be equal to n(n-1)(n-2)(n-3).......1

The correct expanded form for the series is Option B, which represents the sum of inverse factorials up to 1/3! The other options do not accurately depict the factorial series.

The correct expanded form for the series given would be the option that correctly represents the sum of the factorial terms in the sequence. The series in the choices seems to depict a sum of inverse factorials. Factorials are mathematical expressions that involve multiplying a series of descending natural numbers. The factorial of a number n is represented as n! and is equal to n × (n-1) × (n-2) × … × 1. Therefore, 0! and 1! are both equal to 1, while 2! is equal to 2, 3! equals 6, and 4! equals 24, and so on.

By applying this logic to the options:

Therefore, the correct answer is Option B.

Final answer:

The number of distinguishable 7-letter words that can be formed using the letters in alabamaalabama is 5040.

Explanation:

The number of distinguishable 7-letter words that can be formed using the letters in alabamaalabama can be calculated using permutations. In this case, we have 12 letters, but some of them are repeated. To calculate the total number of permutations, we need to divide the total number of permutations by the factorial of the number of times each repeated letter appears. The word alabamaalabama has 7 distinct letters, so there are no repeated letters in this case. Therefore, the number of distinguishable 7-letter words that can be formed is simply 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040.

Answer: 40.5 inches

Step-by-step explanation:

Given: A city’s annual rainfall totals are normally distributed.

The probability that the city gets more than 43.2 inches of rain in a year is given by P(z≥1.5)=0.0668

Thus, X=43.2 inches

z=1.5

Standard deviation [tex]\sigma[/tex]=1.8 inches

We know that [tex]z=\frac{X-\mu}{\sigma}[/tex]

[tex]\Rightarrow\mu=X-z\sigma\\\Rightarrow\mu=43.2-1.5\times1.8\\\Rightarrow\mu=43.2-2.7\\\Rightarrow\mu=40.5\ inches[/tex]

Hence,  the city’s mean annual rainfall is 40.5 inches.

Answer:

it Is D

Step-by-step explanation:

just did it

Answer: [tex]\frac{1}{e^{\frac{2}{3}}}+5[/tex] or 5.51

Step-by-step explanation:

The given function : [tex]f(x)= 3\log(x-5)+2[/tex]

We know that , the x-intercept is the point on graph( basically intersection of graph and x-axis)  where y coordinate is zero.

I.e. for x-intercept of function , f(x) =0

i.e. [tex]0= 3\log(x-5)+2[/tex]

[tex]\Rightarrow\ \log(x-5)=\dfrac{-2}{3}[/tex]

Taking exponent on both sides , we get

[tex]x-5=e^{\frac{-2}{3}}\\\\\Rightarrow\ x=e^{\frac{-2}{3}}+5\ \ or\ \ x=\dfrac{1}{e^{\frac{2}{3}}}+5[/tex]

On simplification , [tex]\frac{1}{e^{\frac{2}{3}}}+5\approx5.51[/tex].

Hence , the x-intercept of the graph f(x)=      [tex]\dfrac{1}{e^{\frac{2}{3}}}+5[/tex] or 5.51.

Answer:

10^-2/3 +5

Step-by-step explanation:

30 * (1+0.06)^5=

30* 1.338225578 = 40.146

 he will know 40 words in 5 weeks

Answer:

The answer is B. 6 square root 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

A inscribe circle in a triangle means to draw the biggest circle possible inside such triangle. To do that perfectly, we first have to find the incenter of the circle, which is the intersection of all three internal bisector of the triangle, that point is the center of the inscribed circle.

Therefore, the statement is false.

In addition, a circumcenter allow to perfectly draw a circumscribed circle, which is outside the triangle, which is not the case here.

An image showing the inscribed circle is attached.

Answer:

false

Step-by-step explanation:

Answer:

Option 2 is correct .i.e., Joo-Eun can only draw one unique triangle with these side lengths.

Step-by-step explanation:

Measures of sides of triangles are 6 mm , 8 mm and 11 mm

We use a result which states that if sum of two sides of a triangle is greater than 3rd side then triangle with those measures exist.

here,

6 + 8 = 14 > 11

6 + 11 = 17 > 8

8 + 11 = 19 > 6

Therefore, triangle With given measures exist.

Now we use another result which says that a triangle with given measurement can only be drawn as one unique triangle and the angles would be unique for the particular triangle. 

Therefore, Option 2 is correct .i.e., Joo-Eun can only draw one unique triangle with these side lengths.

The statement that is true about Joo-Eun’s plan is: Joo-Eun can only draw one unique triangle with these side lengths.

A unique triangle is a congruent triangle that remains the same no matter how it is flipped.

The conditions for a unique triangle include;

The triangle in the above question meets the first condition.

Learn more about unique triangles here:

https://brainly.com/question/1034224

Answer:

solution is (3,8)

option A

Step-by-step explanation:

[tex]y = -2x + 14[/tex]

[tex]y = 2x + 2[/tex]

Lets graph each equation

Given equation is in the form of y=mx+b

LEts graph each equation using a table

[tex]y = -2x + 14[/tex]

x             y

0            14

1             12     points are (0,14) and (1,12)

[tex]y = 2x + 2[/tex]

x             y

0            2

1             4     points are (0,2) and (1,4)

Graph both the table

The graph is attached below. both graph intersects at (3,8)

The speed of the plane with no wind is 451 miles per hour.

Let's solve this problem step-by-step:

Answer:

Correct Answer: Alice should buy the package of four paper towels because buying in bulk means she gets each roll of towels for less money.

Step-by-step explanation:

Final answer:

To find the number of girls and boys on the bus, create a system of linear equations and solve for the variables. In this case, there are 12 boys and 24 girls on the bus.

Explanation:

To solve for the number of girls and boys on the bus:

Let G represent the number of girls and B represent the number of boys.

From the problem, G = 2B and G + B = 36.

Substitute G = 2B into the second equation to get 2B + B = 36, which gives B = 12. Therefore, there are 12 boys and 24 girls on the bus.

Answer:

231in

Step-by-step explanation:

Answer:

the value of x and y are, 5 and 4

Step-by-step explanation:

SSS(Side Side Side) postulate states, that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.

In given triangle ABC and triangle CDE as shown in attachment , by above theorem ,we have

[tex]AB\cong BC[/tex]

⇒ [tex]7x-4=31[/tex]

[tex]7x=35[/tex]

∴ [tex]x=5[/tex]

also, [tex]BC\cong DE[/tex]

⇒ [tex]4y+8=24[/tex]

simplify:

[tex]4y=16[/tex]

∴ [tex]y=4[/tex]

Hence, the value of x=5 and y=4.

Step-by-step explanation:

The rocket's height h (in meters) after t seconds is given by:

[tex]h=67t-5t^2[/tex]

67 m/s is the initial upward velocity of the rocket. We need to find the values of t for which the rocket's height is 30 meters. So equation (1) becomes :

[tex]67t-5t^2=30[/tex]

[tex]67t-5t^2-30=0[/tex]

The above equation is a quadratic equation. We need to find the value of t.After solving the quadratic equation, we get the values of t are :

t = 0.464 seconds = 0.46 seconds

or

t = 12.936 seconds = 12.94 seconds

Hence, this is the required solution.

The rocket's height is 30 meters at t = 3.79 seconds or t = 0.54 seconds after launch, when solved using the quadratic formula applied to the given equation.

To find all values of t for which the rocket's height is 30 meters according to the given quadratic equation h = 67t - 5t2, we need to set the equation equal to 30:

30 = 67t - 5t2

Moving all terms to one side, we obtain:

0 = 5t2 - 67t + 30

Now, we can solve this quadratic equation using the quadratic formula:

t = (-b ± sqrt(b2 - 4ac)) / (2a)

Here, a = 5, b = -67, and c = 30. Plugging these values into the formula we get:

t = (67 ± sqrt(672 - 4 * 5 * 30)) / (10)

Calculating the discriminant and then computing the values for t:

t = 3.79 or t = 0.54

Therefore, the rocket is at 30 meters at approximately t = 3.79 seconds or t = 0.54 seconds after launch, rounded to the nearest hundredth.

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