NO LINKS!!! URGENT HELP PLEASE!!!


For #7-9, find the area of each figure, round your answer to one decimal place if necessary.

NO LINKS!!! URGENT HELP PLEASE!!!For #7-9, Find The Area Of Each Figure, Round Your Answer To One Decimal

Answers

Answer 1

Answer:

7)  468 ft²

8)  864 m²

9)  192 cm²

Step-by-step explanation:

To calculate the area of each given composite figure, divide the figure into two rectangles and sum the area of the two rectangles.

[tex]\boxed{\begin{minipage}{5cm}\underline{Area of a rectangle}\\\\$A=w\cdot l$\\\\where:\\ \phantom{ww} $\bullet$ \quad $w$ is the width.\\ \phantom{ww} $\bullet$ \quad $l$ is the length.\\\end{minipage}}[/tex]

Question 7

Separate the figure into two rectangles by drawing a vertical line (see attachment).

[tex]\begin{aligned}\textsf{Total Area}&=\textsf{Area 1}+\textsf{Area 2}\\&=16 \cdot 17 + 14 \cdot 14\\&=272+196\\&=468\; \sf ft^2\end{aligned}[/tex]

Question 8

Separate the figure into two rectangles by drawing a horizontal line (see attachment).

[tex]\begin{aligned}\textsf{Total Area}&=\textsf{Area 1}+\textsf{Area 2}\\&=18 \cdot 18 + 30 \cdot 18\\&=324+540\\&=864\; \sf m^2\end{aligned}[/tex]

Question 9

Separate the figure into two rectangles by drawing a horizontal line (see attachment).

[tex]\begin{aligned}\textsf{Total Area}&=\textsf{Area 1}+\textsf{Area 2}\\&=8 \cdot 8+16 \cdot 8\\&=64+128\\&=192\; \sf cm^2\end{aligned}[/tex]

NO LINKS!!! URGENT HELP PLEASE!!!For #7-9, Find The Area Of Each Figure, Round Your Answer To One Decimal

Related Questions

which is a correct grammar for the following language over the alphabet a = {#, 0, 1} l = {(01)n # | n >=0}

Answers

The correct grammar for "language L" which is defined over alphabet "A" = {#, 0, 1}, consisting of all strings of form (01)ⁿ #, is  (a) S → 0S1 | #   .

In language L, every string starts with a "0"  and is followed by the digit "1" , and the string ends with the symbol "#' . The number of times that the sequence "01" appears in the string is determined by the value of n, which can be zero or any positive integer.

The grammar in Option(a) generates the language L by starting with the initial symbol "S" and using two production rules.

(i) The first rule generates a string which begins with "0", which is followed by non terminal symbol "S" , and then ends with "1".

(ii) The second rule generates the empty string "#" which marks the end of the string.

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The given question is incomplete , the complete question is

Which is a correct grammar for the following language over the alphabet

A = {#, 0, 1} , L = {(01)ⁿ # | n >=0}

(a) S → 0S1 | #

(b) S → 1S0 | #

(c) S → 01S | #

(d) S → S01 | #

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

The equations can be used to solve for y, the length of the room follows:

B. y² – 5y = 750, C. 750 – y(y – 5) = 0 and E. (y + 25)(y – 30) = 0

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

As per the question, we have

length L = y

width W = y - 5

Since the area of a rectangular room is 750 square feet.

So  L × W = 750

y(y - 5) = 750

y² – 5y = 750 ....(i)

This can be also written as:

750 – y(y – 5) = 0 ....(ii)

Factorizing the equation (i), we get

(y + 25)(y – 30) = 0

Thus, the correct answer would be options (B), (C), and (E).

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Help me with this …………

Answers

Answer:

it's C

the square root of 10 is 3.162277

Systems that can absorb any type of data, structured or not, from any type of source are often called schema-less.TrueFalse

Answers

True. Systems that can absorb any type of data, structured or not, from any type of source are often referred to as schema-less.

In a schema-less system, there is no predefined structure or schema that the data must conform to, allowing for greater flexibility in handling a variety of data formats and sources.

This can be particularly useful in big data environments, where data may come from a wide range of sources and be in a variety of formats. Schema-less systems typically rely on techniques such as dynamic schema discovery and schema-on-read to interpret and process the data.

A schema-less system is a type of database management system that allows for flexible and dynamic data structures, without requiring a pre-defined schema or structure.  

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Let S(x)= n, if n is less than x is less than n+1 for every integer n, be the staircase function. Note that S(x) is riddled with discontinuities on suitably large domains. Let M, N, be two arbitrary positives integers subject to 0 is less than M is less than N. Determine a formula in terms of M and N for the integral of S(x)dx from m to n. Solve using improper integrals and sigma notation.

Please help, I am having trouble with this question.

Answers

The staircase function S(x) takes on the value of the largest integer less than x. To find the integral of S(x) over an interval [M, N], we can consider the area under the staircase function over each subinterval [n, n + 1] for integers n such that M <= n <= N.

The area under S(x) over the subinterval [n, n + 1] can be represented as a rectangle with height n and width 1. Therefore, the integral of S(x) over the subinterval [n, n + 1] is given by n.

Using sigma notation, we can represent the integral of S(x) over the interval [M, N] as follows:

∫_M^N S(x)dx = ∑_{n=M}^{N-1} ∫_n^{n+1} n dx = ∑_{n=M}^{N-1} n * (n+1 - n) = ∑_{n=M}^{N-1} n = (M + (M + 1) + ... + N-1) = (N^2 - M^2)/2.

So, the integral of the staircase function S(x) over the interval [M, N] is equal to (N^2 - M^2)/2.

Today's Challenge
Number Sense
What will be the color of a
flower dipped in a mixture
3/5
that is red? Explain how
you know.
Food Coloring to Put in Water to Change
the Color of a White Carnation
Carnation Color
Orange Sunset-10 yellow and 2 red
Purple-6 red and 4 blue
Jungle Green-6 green and 2 yellow
Watermelon Red-7 red and 1 blue
Drops of Food Coloring
DAY

Answers

The color of a mixture that is 3/5 red is given as follows:

Purple.

How to obtain the color?

To obtain the color, we must look at the proportions in the context of the problem.

The proportion of red of each mixture is obtained dividing the number of red drops by the total number of drops, hence:

Orange: 2/12 = 1/6.Purple: 6/10 = 3/5. -> 3/5 red.Jungle Green: 6/13.Watermelon red: 7/8.

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unattempted question 12 expand previous next check 1 ptretries 1reattempts 19 14. find the measure of the angle given the sine, cosine or tangent. round to the nearest tenth of a degree. sin (m)

Answers

The measure of angle M is approximately 53.1 degrees when we are given Sin (M) = 0.8.

To find the measure of angle M, we can use the inverse sine function (sin⁻¹) on both sides of the equation:

sin⁻¹( sin (M) ) = sin⁻¹( 0.8 )

M = sin⁻¹( 0.8 )

Using a scientific calculator, we can find the value of sin⁻¹( 0.8 ), which comes out to be as follows -

M ≈ 53.13 degrees

Rounding to the nearest tenth of a degree, we get,

M ≈ 53.1 degrees

Therefore, the measure of angle M is approximately 53.1 degrees.

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The complete question is -

Find the measure of the angle given the sine, cosine, or tangent. Round to the nearest tenth of a degree. Sin (M) = 0.8 The measure of angle M.

Find the sum and express it in simplest form.
(-4s 9a + 4) + (2s + 2a - 8)
008
Clear all
Enter the correct answer.
000
+?
DONE

Answers

The sum of the expression is (-4s 9a + 4) + (2s + 2a - 8) is -2x + 11a - 4

What are algebraic expressions?

These are expressions that are made up of variables, terms, coefficients, factors and constants.

They are also made up of operations, such as addition, multiplication, division, floor division, subtraction, bracket and parentheses.

From the information given, we have the expressions;

(-4s + 9a + 4) + (2s + 2a - 8)

expand the bracket

-4s + 9a + 4 + 2s + 2a - 8

Now, collect the like terms

-4s + 2s + 9a + 2a + 4 - 8

add or subtract the like terms

-2x + 11a - 4

Hence, the expression is -2x + 11a - 4

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The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.4. Suppose you purchase box after box until you have obtained two of these prizes. (a) What is the probability that you purchase x boxes that do not have the desired prize? nb(x; 2, 0.4) b(x; 2, 4, 10) b(x; 2, 0.4) h(x; 2, 4, 10) h(x; 2, 0.4) nb(x; 2, 4, 10)
(b) What is the probability that you purchase four boxes? (Round your answer to four decimal places.) (c) What is the probability that you purchase at most four boxes? (Round your answer to four decimal places.) (d) How many boxes without the desired prize do you expect to purchase? How many boxes do you expect to purchase?

Answers

a) Probability will be [tex]nb(x; 2, 0.4) = (x + 1 choose 2) * (0.4)^2 * (0.6)^(x)[/tex]

b)Probability is b(2; 4, 0.4) = [tex](4 choose 2) * (0.4)^2 * (0.6)^2[/tex] = 0.2304 (rounded to four decimal places)

c)b(2; 2, 0.4) =[tex](2 choose 2) * (0.4)^2 * (0.6)^0[/tex] = 0.16

d)E(X) = r*(1-p)/p = 2*0.6/0.4 = 3 boxes

(a) The probability that x boxes do not have the desired prize can be modeled by a negative binomial distribution with parameters r=2 (since we want to obtain 2 prizes), p=0.4 (since the probability of obtaining the prize in any given box is 0.4), and x being the number of boxes purchased before obtaining the second prize. Therefore, the probability is given by:

[tex]nb(x; 2, 0.4) = (x + 1 choose 2) * (0.4)^2 * (0.6)^(x)[/tex]

(b) The probability of purchasing four boxes and obtaining two prizes can be modeled by a binomial distribution with parameters n=4 (since four boxes are purchased), k=2 (since we want to obtain two prizes), and p=0.4 (since the probability of obtaining the prize in any given box is 0.4). Therefore, the probability is given by:

b(2; 4, 0.4) = [tex](4 choose 2) * (0.4)^2 * (0.6)^2[/tex] = 0.2304 (rounded to four decimal places)

(c) The probability of purchasing at most four boxes and obtaining two prizes can be found by summing the probabilities of purchasing 2, 3, or 4 boxes and obtaining two prizes. Using the binomial distribution with parameters n=2 and p=0.4 for the case of purchasing 2 boxes and obtaining two prizes, we have:

b(2; 2, 0.4) =[tex](2 choose 2) * (0.4)^2 * (0.6)^0[/tex] = 0.16

Using the negative binomial distribution with parameters r=2 and p=0.4 for the case of purchasing 3 boxes and obtaining two prizes, we have:

nb(1; 2, 0.4) = (1 + 2 choose 2) * (0.4)^2 * (0.6)^1 = 0.288

Using the negative binomial distribution with parameters r=2 and p=0.4 for the case of purchasing 4 boxes and obtaining two prizes, we have:

nb(2; 2, 0.4) = (2 + 2 choose 2) * (0.4)^2 * (0.6)^2 = 0.3456

Therefore, the probability of obtaining two prizes in at most four boxes is:

0.16 + 0.288 + 0.3456 = 0.7936 (rounded to four decimal places)

(d) The expected number of boxes without the desired prize can be found by multiplying the number of boxes needed to obtain the prize (on average) by the probability of not obtaining the prize, which is given by:

E(X) = (1 - p)/p = 0.6/0.4 = 1.5 boxes

The expected number of boxes needed to obtain two prizes can be found using the negative binomial distribution with parameters r=2 and p=0.4, which gives:

E(X) = r*(1-p)/p = 2*0.6/0.4 = 3 boxes

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9. Principal Stern has 21 coins totaling $3.45. if he only has dimes and quarters, how many
of each type does he have?

Answers

Answer:

Step-by-step explanation:

11 x .25 = $2.75

7 x .10 = .70

 Total $3.45

Mary didn't know the answer to three multiple choice questions that had three answer choices each, so she picked her answers randomly. What is the fractional probability that Mary answered all three correctly?​

Answers

Answer:  1/27, or 0.037

Step-by-step explanation:

The fractional probability that Mary answered all three correctly is 1/27, or 0.037. This is because for each of the three questions, Mary had a 1 in 3 chance of getting the correct answer (1/3). Since she had three questions, the probability of her getting all three correct is the product of the three probabilities (1/3 x 1/3 x 1/3 = 1/27).

Answer:

Mary's probability of guessing all three questions correctly is 1/27 or approximately 0.037. This is because each multiple choice question has 3 possible answer choices, and her chances of randomly picking the correct choice are 1/3. Since she has three questions, the probability of randomly getting all three answers correct is 1/3 x 1/3 x 1/3, which equals 1/27.

Please help !! I can’t figure it out

Answers

Answer:

121 3

Step-by-step explanation:

factoring a polynomial is essentially dividing, True or false

Answers

True. This is true because when diving a polynomial by a 2 factor function, it creates a sense of division to find the two factors to make that polynomial. Thus, the answer is true.

I need help, please some one explain

Answers

Answer:

Below

Step-by-step explanation:

DE is   MID segment.....so it cuts AC in half....then x = 6

Complete the input-output table:
X 3x²+2

Answers

Answer:

Here's the completed input-output table for the function f(x) = 3x²+2:

X f(X)

-2 14

-1 5

0 2

1 5

2 14

Step-by-step explanation:

in a lab experiment, a population of 200 bacteria is able to quadruple every hour. Which equation matches the number of bacteria in the population after 2 hours?

Answers

The equation that gives the number of bacteria in the population after 2 hours is -

P{ 2 }  = 260 + (1/4 x 260)

What is exponential function?

The exponential function is given by -

y = eˣ

Given is that in a lab experiment, a population of 200 bacteria is able to quadruple every hour.

The population of the bacteria after the first hour is -

P{ 1 }  = 200 + (1/4 x 200) = 200 + 60 = 260 bacterias.

The population of the bacteria after the second hour is -

P{ 2 }  = 260 + (1/4 x 260) = 260 + 65 = 325 bacterias

After the second hour, the population of the bacteria would be -

P{ 2 }  = 260 + (1/4 x 260)

Therefore, the equation that gives the number of bacteria in the population after 2 hours is -

P{ 2 }  = 260 + (1/4 x 260)

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To accomplish the goal, an experiment must do which of the following? Check all that apply.O Control an independent variable O Control extraneous variables O Manipulate an independent variable O Manipulate several variables

Answers

The goal of an experimental research study is to demonstrate the existence of a cause-and-effect relationship between two variables. This means that the researcher wants to show that changes in one variable (the independent variable) cause changes in another variable (the dependent variable).

To accomplish this goal, an experiment must control extraneous variables, manipulate an independent variable, and control an independent variable. This can be achieved through randomization, blinding, and other experimental design techniques.

Manipulating an independent variable means that the researcher wants to intentionally change the level or value of the independent variable in different groups or conditions. Controlling an independent variable means that the researcher wants to make sure that the manipulation of the independent variable is consistent across different groups or conditions.

The goal is  achieved through controlling extraneous variables, manipulating an independent variable, and controlling an independent variable.

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____The given question is incomplete, the complete question is given below:

The goal of an experimental research study is which of the following? O To make an observation to determine the correlation between two variables O To make an observation without manipulating any variables O To demonstrate the existence of a cause-and-effect relationship between two variables O To make an observation to determine the relationship among several variables To accomplish the goal, an experiment must do which of the following? Check all that apply. Control an independent variable Control extraneous variables X Manipulate an independent variable Manipulate several variables

(1 point) how many 3 -element subsets containing the letter a can be formed from the set {a,b,c,d,e,f,g} ?

Answers

From the set a, b, c, d, e, f, g, we can derive 15 3-element subsets having the letter "a".

We can select 2 more elements from the set's remaining 6 components to create a 3-element subgroup that includes the letter "a": a, b, c, d, e, f, g.

The binomial coefficient indicates the number of possible methods to select 2 elements from a set of 6:

C(6,2) = 6! / (2! * (6-2)!) = 15

The positive numbers that appear as coefficients in the binomial theorem are known as binomial coefficients in mathematics. A binomial coefficient is frequently written as ( ) and is indexed by the pair of numbers n k 0.displaystyle "tbinom" nk. It is the multiplicative formula that can be used to calculate the coefficient of the xk component in the polynomial expansion of the binomial power (1 + x)n.

Thus, from the set a, b, c, d, e, f, g, we can derive 15 3-element subsets having the letter "a".

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The relationship between a distance in yards (y) and the same distance in miles (m) is described by the equation

y = 1,760m.

Find measurements in yards and miles for distances by filling in the table.

distance measured in miles 1 5 type your answer type your answer


distance measured in yards

type your answer type your answer 3,520 17,600

Answers

Using the equation y = 1,760m, we can convert between distances measured in miles and distances measured in yards.

To fill in the table:

For a distance of 1 mile, we can use the equation y = 1,760m to find the equivalent distance in yards:
y = 1,760(1) = 1,760
So the distance measured in yards is 1,760.
For a distance of 5 miles, we can again use the equation y = 1,760m to find the equivalent distance in yards:
y = 1,760(5) = 8,800
So the distance measured in yards is 8,800.
Therefore, the completed table is:

Distance measured in miles Distance measured in yards
1 1,760
5 8,800
Note that for any other distance measured in miles, we can use the equation y = 1,760m to find the equivalent distance in yards by multiplying the distance in miles by 1,760.

3. two dice are thrown. consider the sample space with 36 (equally likely) outcomes. let sj be the event that the total of the values which come up on the dice is j. find p(s2), p(s3), p(s4), p(s5), p(s6), p(s7), and p(s8); in doing so, show all the outcomes in each event being considered.

Answers

The value of the probability p(s2) is 1.36, p(s3) is 1/18, p(s4) is 1/12, p(s5) is 1/9, p(s6) is 5/36, p(s7) is 1/6, and p(s8) 5/36

The sample space for this problem can be represented as all the possible outcomes when two dice are thrown.

Each die has six sides with numbers 1 through 6, so there are 6 x 6 = 36 possible outcomes. We can represent each outcome as a pair of numbers (i, j) where i is the number on the first die and j is the number on the second die.

Now, we want to find the probability of getting a certain total when the two dice are thrown. We can define an event Sj as the event where the total of the values on the dice is j.

To calculate the probability of each event, we need to count the number of outcomes that belong to each event, and divide by the total number of outcomes (which is 36).

Let's start with S2. The only outcome that belongs to this event is (1, 1), so the probability of getting a total of 2 is 1/36.

For S3, we can get a total of 3 in two ways: (1, 2) and (2, 1). So the probability of getting a total of 3 is 2/36 or 1/18.

For S4, we can get a total of 4 in three ways: (1, 3), (2, 2), and (3, 1). So the probability of getting a total of 4 is 3/36 or 1/12.

For S5, we can get a total of 5 in four ways: (1, 4), (2, 3), (3, 2), and (4, 1). So the probability of getting a total of 5 is 4/36 or 1/9.

For S6, we can get a total of 6 in five ways: (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1). So the probability of getting a total of 6 is 5/36.

For S7, we can get a total of 7 in six ways: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). So the probability of getting a total of 7 is 6/36 or 1/6.

Finally, for S8, we can get a total of 8 in five ways: (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). So the probability of getting a total of 8 is 5/36.

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use equation 1.3 to estimate the solar radius r^2 from its luminosity and effective temperature. show that the gravitational acceleration g at the surface is about 30 times larger than that on earth. L=4 phi R^2 SB θ T^4

Answers

The solar radius R² from its luminosity and effective temperature is R ≈ 695586.468 km.

We can find solar radius by direct substitution of values into Eqn 1.3

See the pic below,

Given L = 4πR²σT⁴

where,

L is the Luminosity

R solar radius

T the effective temperature

σ is the Stefan Boltman's constant

From 1 solar radius can be written as,

R² = L/4πσT⁴

L = 3.846 x 10²⁶

R² = 3.846x10²⁶/4x3.14x5.6703x10⁻⁸ x 5780⁴

R ≈ 695586.468 km

Therefore, the solar radius is R ≈ 695586.468 km

g = GM/r²

g = 6.67x10⁻¹¹ x 1.99 x 10³⁰/(6.95x10⁸)²

g = 274.13m/s² about 30 times that of earth.

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Computing exponents mod m. ? Compute each quantity below using the methods outlined in this section. Show your steps, and remember that you should not use a calculator (a) 4610 mod 7 (b) 345 mod 9 Feedback?

Answers

(a) The answer is 3. To solve 4610 mod 7, we start by dividing 4610 by 7, which gives us 658 with a remainder of 4. Next, we divide 658 by 7, which gives us 93 with a remainder of 5. We keep dividing by 7 until we reach a number below 7. This gives us a remainder of 3, so the answer is 3.

(b) The answer is 6. To solve 345 mod 9, we start by dividing 345 by 9, which gives us 38 with a remainder of 3. Next, we divide 38 by 9, which gives us 4 with a remainder of 2.

We keep dividing by 9 until we reach a number below 9. This gives us a remainder of 6, so the answer is 6.

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Identify a pair of corresponding angles. 1 2 3 4 5 6 7 8 x y graph Question content area bottom Part 1 Choose the correct answer below. A. ∠3 and ∠7 B. ∠6 and ∠8 C. ∠3 and ∠2 D.

Answers

Answer:

/9 gr2146787. 2665444755554

Consider the following equation.

5y+7x=7(5+x)
Step 1 of 2 : Find the x- and y-intercepts, if possible.

Answers

answer: 7 is where they intercept I think, I also hope this helps

Write the log equation as an exponential equation. You do not need to solve for X


ln(x^2 - 5x + 17) = 3x+2

Answers

As an exponential equation, the log equation log (x²- 5x + 14) = 2x + 4 is 9514 1404 393

What is meant by exponential equation?The formula for an exponential function is f (x) = ax, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis. Your function must be exponential if it can be expressed in the manner y = a b x, where and are constants, a 0 and b > 0 and b 1. Your functions were always to the second power in quadratic equations. The exponent is a variable in exponential functions.

Given,

x² - 5x + 14 = 10^(2x +4)

The relationship is ...

log(a) = b   ⇔   a = 10^b

Using this with a = x² - 5x + 14 and b = 2x + 4, we have ...

x² - 5x + 14 = 10^(2x +4)

The complete question is:

Write the log equation as an exponential equation. You do not need to solve for x. log (x^2– 5x + 14) = 2x + 4

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Hey can someone explain this step by step please? thx

Answers

The probability that outmost 15 calls will be received is 0.2

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

The probability of receiving more than 15 calls is 0.8 i.ep( > 15) = 0.8

The total probability is 1

Therefore ,

the probability of receiving at most 15 calls is 0.2

i.e p( ≤15 ) = 1-0.8

= 0.2

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Ashirt is marked down 20% off the original price. If the original
price was $24,00, what is the sale price of the shirt before sales tax?

Answers

24/1.20=20 so $20 if that makes sense to you use this

15. There are 15 children on a soccer team and 4 more than one-third that number on the tennis team. On the basketball team there are 2 less than three times the number of students that are on the tennis team. All of the athletes from the three teams got together for a pizza party. How many athletes were at the pizza party?
PLEASE ANSWER ASAP​

Answers

Answer:

49 athletes attended the pizza party

Step-by-step explanation:

Number of soccer team players = 15

Number of tennis  players =  4 more than one-third that number
This translates to

Number of tennis  players = 15/3 + 4 = 5 + 4 = 9

Number of basketball players = 2 less than three times the number of students that are on the tennis team
which translates to
3 x 9 - 2 = 25

So total number of players on all teams = 15 + 9 + 25 =49

suppose: 1. all the points on a scatterplot lie perfectly on a straight line going uphill 2. the mean of x and the mean of y are both 2 3 the standard deviations of x and y are exactly the same. can you find the equation of the best fitting line with this information? (hint: think of the '5 number' way of finding the best-fitting line.) no, yes

Answers

Yes, we can find the equation of the best fitting line given the information provided.

Since all the points lie perfectly on a straight line going uphill, we know that there is a perfect linear relationship between x and y. Therefore, we can use the method of least squares to find the equation of the best fitting line.

The method of least squares involves finding the line that minimizes the sum of the squared distances between the observed data points and the predicted values on the line.

Given that the mean of x and the mean of y are both 2, we know that the line must pass through the point (2,2).

Since the standard deviations of x and y are exactly the same, we know that the slope of the line must be 1 (i.e., a unit increase in x corresponds to a unit increase in y).

Using the "5 number" approach, we can also find the equation of the line by calculating the correlation coefficient (r) between x and y. Since all the points lie perfectly on a straight line going uphill, the correlation coefficient will be either 1 or -1. In this case, since the line goes uphill, we know that the correlation coefficient must be 1.

Therefore, the equation of the best fitting line is y = x, or in slope-intercept form, y = 1x + 0.

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the probability of testing positive a second time given they test positive once. you may assume the two tests are statistically independent given drug user status

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The probability of testing positive a second time given that they test positive once depends on the accuracy and specificity of the testing method used, as well as the prevalence of the condition being tested for in the population.

Assuming that the testing method is accurate and specific, and that the prevalence of the condition being tested for is low, then the probability of testing positive a second time given that they test positive once is still high, but less than the probability of testing positive on the first test.

This is because the second test is not completely independent of the first test, as the result of the first test provides some information about the likelihood of the individual having the condition being tested for. However, if we assume that the two tests are statistically independent given drug user status, then the probability of testing positive a second time given that they test positive once is the same as the probability of testing positive on the first test, which depends on the prevalence of the condition and the accuracy and specificity of the testing method.

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