The Martians are trying to destroy Earth by launching an anti-matter rocket (it will be disastrous it will hit earth). In response, Earth launches 500 missiles towards the rocket. Each missile will hit the rocket with probability 0.01, independently of other missiles. What is the probability that Earth will be saved, if at least 3 missiles must hit the rocket in order to destroy it before it hits Earth

Answer:

C

Step-by-step explanation:

Volume = 0.5 * Base * Height * Length

You have to multiply by 0.5 because it is a Triangular prism

base(b) = 4.1

Height (h) = 7.2

Length (l) = 3.5

Plug in the numbers to the equation below and you get 51.66

Hope this Helps! :)

Answer:

A. 60%

B. 40%

C. Math because Math has higher chance of being chosen.

D. 0%

Answer:

8 cm

Step-by-step explanation:

V = 1/3 (Base Area) × h

216cm³ = 1/3(81cm²) × h

216cm³ = 27cm² × h

÷ 27cm   ÷ 27cm

8 cm = h

I hope this helps!

On solving the provided question, we can say that -the  given graph is a starlight lined .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

here,

in the graphs we have been given a straight line,

so its a straight line graphs

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Answer:

Step-by-step explanation:

x and x are both equal because the two angles opposite them are equal (both angles are 45  degrees).

In addition, the third angle is 90 degrees. You can use the Pythagorean Theorem.

x^2 +x^2 = 12^2

2x^2 = 144                         Divide by 2

x^2 = 144/2

x^2 = 72                            Factor 72 using prime factors.

x^2= 2*2*2 * 3*3

Every pair of equal factors contributes 1 factor to the question mark outside the root sign. The other factor is thrown away.

sqrt(x^2) = 2 * 3 *  sqrt 2  a single  two is left under the root sigen

x =6 sqrt(2)

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

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Answer: 4

Step-by-step explanation: because he needs to divided by 2

Answer:

The rate of change is 28.

Step-by-step explanation:

The equation is in slope-intercept form,  y = mx + b, where m is the slope, and b is the y-intercept.

The value of the tax for the meal is $1.05.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.

Given the  cost of the meal = $15.00

and rate of tax = 7%

converting the rate of tax into decimal form,

rate of tax = 7% = 7/100

rate of tax = 0.07

amount of tax = cost x rate of tax

amount of tax = 15 x 0.07

amount of tax = $1.05

Hence the amount of tax is $1.05.

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Answer:

15 shirts

Step-by-step explanation:

Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same

A: 12.5 + 0.40x

B: 14.75 + 0.25x

12.5 + 0.40x = 14.75 + 0.25x

subtract 12.5 from both sides:

12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5

0.40x = 2.25 + 0.25x

subtract 0.25x from both sides:

0.40x - 0.25x = 2.25 + 0.25x - 0.25x

0.15x = 2.25

divide both sides by 0.15:

0.15x/0.15 = 2.25/0.15

x = 15

Answer:

1.4 U.S. Dollar

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have

5apples+4 oranges=10

5apples+5oranges=11

from here we can say

5a=10-4 oranges

replace in the second equation

10-4 oranges+5oranges=11

1 orange=1 dollar

that means that 5apples =6 dollars

1apple=1.20 dollars

Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.

To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.

The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:

Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).

Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.

Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.

If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.

In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.

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Answer:

$0.75

Step-by-step explanation:

Step 1:

5 ibs for $3.75    Given

Step 2:

$3.75 ÷ 5     Divide

Answer:

$0.75

Hope This Helps :)

Answer:

\(2x^3 +x^2 -5x+9 -\frac{17}{x+2}\)

Step-by-step explanation:

See picture for explanation

Answer:

---------------------------

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

a) The account with the largest balance is D. Rent A Truck which is $165.

b) The open account is D. Rent A Truck.

c) Since it takes seven years for negative credit history to be removed from a person's credit report, the year that the late payment at Rent A Truck will be removed is 2016, specifically by the end of February 2016.

A credit report records the borrower's credit history from various sources, including banks, credit card companies, collection agencies, and governments prepared by the following credit reporting bureaus: Equifax, Experian, and TransUnion.

An open account refers to a credit that has not been fully discharged.

Unlike a closed account, the open account remains operational, with debit and credit transactions recorded, including finance charges and credit reports issued from it.

Thus, based on the facts supplied, Rent A Truck is the only open account because the other three have been closed.

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Answer:

X = 3.02

Step-by-step explanation:

Answer:

x= 3.02

Step-by-step explanation:

135 = -1 + 45x

+1        +1

136/45= 45x/45

x = 3.02

The mean absolute deviation (MAD) of the data set is equal to 180.625.

The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.

Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)

x bar =average value of the given data set

n= total number of data set

xi = data value in a given set

According to the question,

x bar = sum of all the data set / total number of the data set

x bar = 2052/16 = 128.25

Substitute the value in the formula, we have

Mean absolute deviation = 2890/16 = 180.625

Hence, the Mean absolute deviation of the data set is equal to 180.625.

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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5

The term Mean absolute deviation in math is defined as the average distance of each observation of data set  and the mean of the data set.

Here we have given the following data.

=> 13, 0 , 14 , 36, 18, 9

Then the mean of the data is calculated as,

=> (13 + 0 + 14 + 36 + 18 + 9)/6

=> 90/6

=> 15

Now, we have to the Substitute the value in the formula, we have

And then the Mean absolute deviation is calculated as,

=> (90 + 15)/6

=> 105/6

=> 17.5

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Here's link to the answer:

tinyurl.com/wpazsebu

Answer:I think it would be 84 + 0.45m + 108.

Which simplified could be 0.45m + 192.

hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:  172 \(\frac{1}{8}\)

Step-by-step explanation:

Answer:

172 I hope this help

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Hence proved  f is not one-to-one.

A function is a mathematical concept that assigns a unique output value for each input value.

In mathematical notation, a function is usually expressed as "f(x)" where "x" is the input and "f(x)" is the corresponding output. For example, a function could be defined as f(x) = x^2, which means that for any value of x, the function will calculate and return the square of that value.

Functions play a central role in mathematics and are used to model real-world phenomena and to study the relationships between variables. They are also used in computer programming to perform specific tasks, such as converting temperatures from Celsius to Fahrenheit or calculating the square root of a number.

Suppose that f is a function from S to T, where |S| > |T|. This means that there are more elements in S than there are in T.

Since f maps elements of S to elements of T, we can think of f as pairing elements of S with elements of T. However, since |S| > |T|, there will be at least two elements of S that are paired with the same element of T, and these two elements are s1 and s2.

Therefore, f is not one-to-one, as f(s1) = f(s2), meaning that two different elements of S are mapped to the same element of T.

This shows that if f is a function from S to T, where |S| > |T|, then there must exist elements s1 and s2 in S such that f(s1) = f(s2), and hence f is not one-to-one.

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Answer:

true for all x

Step-by-step explanation:

-2x + 12 = -2(x – 6)

Distribute

-2x+12 = -2x+12

Add 2x to each side

12 =12

Since this is always true, there are infinite solutions

x is all real numbers

Answer:

6x + 25

Step-by-step explanation

Distribute 6 through the parenthesis

Then add 24 and 1 to get 25

then you end up with 6x + 25

Answer:

6x+25

Step-by-step explanation:

6x+24+1 first distribute 6 into (x+4)

then add all your constants 24+1

then u get 6x+25,ur answer

The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].

The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).

In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.

So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.

In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].

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