What is the formula for finding absolute value?

The ratio of the number of fallen dominoes to the number of dominoes still standing is 34 : 15

Ratio refers to a number representing a comparison between two or more quantities.

Number of Austen's dominoes that are standing = 15

Number of Austen's dominoes that have fallen over= 34

The ratio of the number of fallen dominoes to the number of dominoes still standing = 34 : 15

Therefore, 34 : 15 is the ratio of fallen dominoes to standing dominoes.

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If 15% of adults in a certain country work from home, then probability that fewer than 42 out of a random sample of 350 adults will work from home is 0.05 .

the percent of students that work from home is (p) = 15% = 0.15  ;

the number of adults in the sample is (n) = 350  ;

to find the probability , we first need to find the mean and standard deviation ;

So , mean [tex](\mu)[/tex] = [tex]n\times p = 350\times 0.15 = 52.5[/tex] ;

and Standard Deviation[tex](\sigma)[/tex] = [tex]\sqrt{np(1-p)} = \sqrt{3550\times 0.15 \times 0.85} = 6.68[/tex] ;

We need to calculate the probability that fewer than 42 out of a random sample of 350 adults will work from home ,

which means ; [tex]P(X < 42-0.5) = P(X < 41.5)[/tex] ,

So , the probability will be the p value of Z when x= 41.5 ;

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

substituting the values of mean and standard deviation ;

⇒ [tex]Z = \frac{41.5-52.5}{6.68}[/tex] ;

On solving ,

we get ;

⇒ [tex]Z = -1.65 ;[/tex] and the p value at z = -1.65 is 0.05 .

Therefore , the required probability is 0.05 or 5% .

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Answer:

Step-by-step explanation:

2(x + 3)=5x + 6 - 3x true or never true?

2(x + 3)=5x + 6 - 3x

2x + 6 = 2x + 6

2x - 2x = 6 - 6

0 = 0

For: The basis step to prove P(k) is that at k = 1, _____ is true. for series .

What is series and sequence?

The foundational concepts in arithmetic are sequence and series. A sequence is an ordered collection of components where repetitions of any kind are permitted, but a series is the accumulation of all elements.    

                          One of the many illustrations of a sequence or series is a mathematical progression.

Let P(k) be a statement that 1/1*2+1/2*3+ ... + 1/k*(k+1)=

 The basis step to prove P(k) is that at k = 1, _____ is true.

Basic step - P(1) is true,

     to show that 1/1.2 = 1/1+1

      the left hand side of the equation is  1/1.2 = 1/2 right hand side

  1/1 + 1 = 1/2

   1/2  = 1/2

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On solving the provided question, we can say that the polynomial value is P(x) + Q(x)= -11x2 + 4x + 14

A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.

the polynomials

Let P(x) = (9 - 3x2) and Q(x) = (-8x2 + 4x + 5)

P(x) = -3x2 + 9 --- (1)

Q(x) = -8x2 + 4x + 5 --- (2)

the polynomials

P(x) + Q(x) = (-3 - 8)x2 + 4x + (9 + 5)

P(x) + Q(x)= -11x2 + 4x + 14

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It can be concluded that -

A table drawn up to show the distribution of the frequency of occurrence of a given characteristic according to some specified set of class intervals.

Given is that each day for three weeks, Kenisha records the number of eggs her chickens lay. The frequency table attached at the end shows her data.

[1] -

Number of days for which layed eggs are 5 or more -

5 + 5 + 2 = 12

[2] -

The greatest number of eggs laid down are equivalent to 7.

Therefore, it can be concluded that -

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Answer: 148

Step-by-step explanation: To find the surface area, add up all the side areas. Since we know that the opposite side of one side is the same, we can do 2(4 *5) + 2(6*5) + 2(4*6). This will get 148.

If the derivative of a function is positive, then the function is increasing. If the derivative of a function is negative, then the function is decreasing.

1. Take a function, f(x).

2. Take the derivative of the function, f'(x).

3. If f'(x) is greater than 0, then the function is increasing.

4. If f'(x) is less than 0, then the function is decreasing.

To determine if a function is increasing or decreasing, the derivative of the function must be found. The derivative of a function is written as f'(x). If the derivative is greater than 0, then the function is increasing. If the derivative is less than 0, then the function is decreasing. This is because an increasing function has a positive slope, and a decreasing function has a negative slope. The derivative is the slope of the function, so if the derivative is positive, the function is increasing, and vice versa.

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Answer:

He was driving at 66 2/3 miles per hour

Step-by-step explanation:

200/3 = 66 2/3

Answer:

1

Step-by-step explanation:

PEMDAS?  omg

Parenthesis, Exponents, Multiplication, Division ,Addition ,Subtraction

so we gon solve the parenthesis first. Basically, we will subtract 1 from 2.

(2-1)= 1

after dis we do dah exponents. we put 1 to the power of 6. 1*1*1*1*1*1= 1

1 to the 6th power is 1 :o

The coordinates of the point P along the directed line segment AB are (-6, -4).

In this scenario, line ratio would be used to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 1 to 4.

Mathematically, line ratio can be used to determine the coordinates of P and this is modeled by this mathematical expression:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Substituting the given parameters into the line ratio formula, we have;

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

P(x, y) = [(1(-2) + 4(-7))/(1 + 4)],  [(1(0) + 4(-5))/(1 + 4)]

P(x, y) = [(-2 - 28)/(5)],  [(0 - 20)/5]

P(x, y) = [-30/5],  [(-20)/(5)]

P(x, y) = [-6, -4]

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Answer:

B

Step-by-step explanation:

-3x + 2y =  ?  You forgot to put what this equals, but it does not matter.

3x + 6y = 9

       9y = ?

When we add -3x and 3x the x's drop out.

The required probability can thus be expressed as a common fraction  [tex]$\frac{3}{21}$[/tex]

The probability of two distinct members of the set[tex]$\{ 3, 7, 21, 27, 35, 42, 51 \}$[/tex] being multiplied and the product being a multiple of 63 can be expressed as a fraction,

The total number of possible outcomes when two numbers are randomly selected and multiplied is [tex]$\binom{7}{2} = \frac{7!}{2! 5!} = 21$[/tex].

The number of outcomes where the product is a multiple of 63 is [tex]$\binom{3}{2} = \frac{3!}{2! 1!} = 3$[/tex]

Therefore, the probability that the product is a multiple of 63 is  [tex]$\frac{3}{21}$[/tex]

The required probability can thus be expressed as a common fraction [tex]$\frac{3}{21}$[/tex].

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x questions are the leaves and 4 of the following words in sentence of your own experience are the plants that are the plants that are the plants that are the plants that are

a. The sample mean for U is 21.55 and the sample mean for F is 8.39.

b. sample median for U is 17 and the sample median for F is 8.

c. trimmed mean for U is 17 and the trimmed mean for F is 7.95.

d. trimmed percentage for U is 18.18% and the trimmed percentage for F is 13.33%.

a) Sample mean can be calculated by adding values and dividing the sum by the number of the values.

< Strong > Mean(U) < / Strong > =

[tex]\frac{6.0 +5.0 + 11.0 + 33.0 + 4.0+5.0+80.0+18.0 + 35.0+17.0+23.0}{11}[/tex] = 21.55

< Strong > Mean(F) < / Strong > =  [tex]\frac{2.0 + 15.0 + 12.0 + 8.0 + 8.0 + 7.0 + 6.0 + 19.0 + 3.0+9.8+22.0+9.6+2.0+2.0+0.5}{15}[/tex] = 8.39

b) Sample median is the middle value of a sorted sample:

Sorted(U)= [ 4.,  5.,  5.,  6., 11., 17., 18., 23., 33., 35., 80.]

Sorted(F)=[ 0.5,  2. ,  2. ,  2. ,  3. ,  6. ,  7. ,  8. ,  8. ,  9.6,  9.8, 12. , 15. , 19. , 22.]

Median(U)=17, which is the 6th (middle) value

Median(F)=8, which is the 8th (middle) value

c) If we delete the smallest and largest observation, we have:

U= [  5.,  5.,  6., 11., 17., 18., 23., 33., 35., ]

F= [ 2. ,  2. ,  2. ,  3. ,  6. ,  7. ,  8. ,  8. ,  9.6,  9.8, 12. , 15. , 19. ]

Using the above equation for the new samples, we have:

TrimmedMean(U)= 17

TrimmedMean(F)=7.95

d) Trimming percentages can be found by dividing the number of removed values by the old sample size

That is, for U: [tex]\frac{2}{11} = 0.18[/tex] 18.18%

for F: [tex]\frac{2}{15} = 0.13[/tex] ,13.33%

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There are a total of 126 different committees that can be formed with at least three women.

The number of different committees that can be formed with at least three women from a group of six women and three men can be calculated using the Combination formula. The Combination formula is defined as follows:

C(n,r)=n!/r!(n-r)!

where n is the total number of elements in the group and r is the number of elements to be selected from it.

In this case, n = 9 (6 women + 3 men) and r = 5 (the size of the committee).

Therefore, the number of different committees that can be formed with 3 women is:

C(9,5) = 9!/(5!*(9-5)!) = 9!/5!*4! = 126

Therefore, there are a total of 126 different committees that can be formed with at least three women.

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So, on solving the provided question, we can say that to decrease that the Type II error, it is necessary to increase both the significance level and the sample size of voters.

When the experimenter fails to rule out a false null hypothesis, they commit a type II error, also referred to as a false-negative.Type II errors can also be decreased by increasing the significance level used throughout the testing method.

By employing more stringent criteria, the power of the testing technique can be increased while significantly reducing a type II error.

By raising the significance level employed throughout the testing procedure, Type II mistakes can also be reduced.

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The probability of picking all 6 numbers correctly are 1 in 1,947,792.

1 in 32 x 1 in 31 x 1 in 30 x 1 in 29 x 1 in 28 x 1 in 20

= 1 in 1,947,792

Hannah's chances of picking all 6 numbers correctly are 1 in 1,947,792. This is calculated by taking the odds of correctly picking each number and multiplying them together. The odds of correctly picking the first number is 1 in 32, the second number is 1 in 31 (as one of the numbers has already been selected), the third 1 in 30, fourth 1 in 29, fifth 1 in 28, and finally the bonus number is 1 in 20. When all of these odds are multiplied together, the total odds of correctly picking all 6 numbers is 1 in 1,947,792. This means that there is a very small chance of Hannah picking all of the numbers correctly, but it is still possible.

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The number of times an analog wave is measured each second during an analog-to-digital conversion is known as the sampling rate. Generally, the sampling rate should be at least twice the highest frequency present in the signal, in order to accurately capture the signal in the digital domain.

An analog-to-digital conversion is the process of converting an analog signal (such as a sound wave or radio wave) into a digital signal. The number of times an analog wave is measured each second during the conversion process is known as the sampling rate. In order to accurately capture the signal in the digital domain, the sampling rate should generally be at least twice the highest frequency present in the signal. The higher the sampling rate, the more accurately the signal will be recorded. For example, CD quality audio has a sampling rate of 44.1 kHz, meaning that 44,100 samples are taken of the analog signal each second.

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For the given scenario appropriate answer is A: 1, 7, 34, 7, 1, which is the best indicator that the variable is modeled with a normal approximation

A normal distribution is the sampling distribution of averages or proportions from a large number of independent trials that approximately follows the normal curve. The expectation of a sample proportion or average is the corresponding population value.

The normal approximation is used to approximate probabilities because it is often easier to use the area under the normal curve compared to the sum of many discrete values.

"

Complete question:

Clara recorded 50 numerical observations on a certain variable and then calculated the mean x¯ and the standard deviation s for the observations. To help decide whether a normal model is appropriate, she created the following chart. The figure presents a number line. The number line has four tick marks labeled from left to right as x bar minus 2 s, x bar minus s, x bar plus s, and x bar plus 2 s. The 4 tick marks create 5 intervals on the number line. From left to right the intervals are labeled a, b, c, d, and e. The intervals at the ends of the number line, a and e, appear to be the same length, the intervals labeled b and d appear to be the same length and the interval in the middle, labeled c, appears to be twice the length of interval b. In Clara’s chart, the letters a,b,c,d,and e represent the number of observations falling in each interval. Which of the following list of counts for a,b,c,d,and e, respectively, is the best indicator that the variable can be modeled with a normal approximation?

A 1, 7, 34, 7, 1

B 1, 10, 28, 10, 1

C 2, 8, 30, 8, 2

D 2, 4, 38, 4, 2

E 5, 5, 30, 5, 5

"

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Given that it regularly overstated the population minimum, sample minimum looks to be a biased estimator.

a measurement made using sample data that consistently underestimates or overestimates the real quantity in the target population. A biassed estimator, then, is one whose average value deviates from the value of the parameter it claims to represent. referred to as a skewed statistic.

When the anticipated value of the estimator equals the parameter value, the estimator is considered to be unbiased if its bias is equal to zero for all values of the parameter.

An estimate is considered biassed when it deviates from the genuine population value. When an estimator stays faithful to the population parameter, it is said to be unbiased.

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The complete question is as follows:

Let n be a 5-digit number, and let q and r be the quotient and the remainder, respectively, when n is divided by 100. For(B) 8181 values of n is q + r divisible by 11.

5 digit Number:

A 5 digit number is a 5 digit number where the first digit is 1 or greater than 1 and the remaining digits can be any digit from 0 to 9. It starts at ten thousand (10,000) and goes up to 99,999 (99,999).

Given:

Let n be a 5-digit number, and let q and r be the quotient and the remainder, respectively, when n is divided by 100.

When a five digit number is divided by 100, we get first three digits as quotient and last two digits as remainder. Therefore q can be any integer from 100 to 999 and r can be from 0 to 99

So for each value of 9 x 100 = 900 , possible value will be q = 100/11 = 9

Now,

q + r ≡ 0 (mod 11) will be possible values of r.

Since there is one extra , 900 / 11 = = 81

Hence, q + r ≡ 0 (mod 11)

So, possible values of n such that q + r = 0(mod 11) is 9 x 100 + 1 x 81

So, it will be 8100 + 81 = 8181

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Probability that the person randomly chosen from the town's population is under 18 or employed part time is the probability of a randomly chosen person is under 18 plus the probability of a randomly chosen person is  employed part-time subtracting the probability that they are both under 18 and employed part-time.

In order to find the probability that a person is under 18 or employed part-time, you would need to know the proportion of the population that is under 18 and the proportion of the population that is employed part-time. Then you can use the following formula:

P(under 18 or part-time) = P(under 18) + P(part-time) - P(under 18 and part-time)

Where P(under 18 and part-time) is the probability that a person is under 18 and employed part-time at the same time.

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In the right triangle the value of x is solved to be  4

The figure attached is a right triangle and the value of x can be worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The problem is described in a right angle triangle as below

hypotenuse = x

adjacent = 10 miles

The value of x is calculated using cos, CAH

cos 60 = Adjacent / hypotenuse

cos 60 = 2 / x

x = 2 / cos 60

x = 4

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Answer:

To determine if Tim is correct in stating that he has paid his fair share of the total cost, we need to calculate the total cost of the dinner and compare it to the cost of the desserts Tim paid for.

Will paid for 2 pizzas at a cost of $3.75 each, for a total of 2 * $3.75 = $7.50

Tim paid for 3 desserts at a cost of $1.09 each, for a total of 3 * $1.09 = $3.27

The total cost of the dinner is $7.50 + $3.27 = $10.77

To check if Tim has paid his fair share, we need to compare the cost of the desserts he paid for ($3.27) to the total cost of the dinner ($10.77)

$3.27 is 30.3% of $10.77, meaning Tim paid for around 30% of the dinner.

In this case, it's not fair to say that Tim has paid his fair share of the total cost, since he paid for only around 30% of the dinner, and as such, this cost should be split among the three of them.

It would be more accurate to say that Tim has paid a portion of the dinner, but not his fair share.

On solving the provided question, we can say that curvaturein t=1;[tex]curvate=(36+36+4)1/2/(1+4+9)3/2=761/2/143/2[/tex]

Curvature is one of many ideas in mathematics that are strongly related to geometry. According to common sense, curvature is the deviation of a curve or face from a plane or a straight line. In mathematics, curvature refers to the rate at which a curve changes direction in relation to the distance traveled along the curve. The pace at which a curve spins is generally referred to as its curvature. The direction of the curve is indicated by the tangent line or velocity vector, which means that the curvature is roughly equal to the rate of rotation of the tangent line or velocity vector.

t=1

curvate=|r'(t) x r"(t)|/|r'(t)|3 (x mean vector product of r'(t) and r"(t))

[tex]r'(t)=(1,2t, 3t2)\\r''(t)=(0,2,6t)\\r'(t) x r"(t)=(6t2 , -6t, 2)\\|r'(t) x r"(t)|=(36t4+36t2+4)1/2\\|r'(t)|=(1+4t2+9t4)1/2\\|r'(t)|3=(1+4t2+9t4)3/2\\curvate=(36t4+36t2+4)1/2/(1+4t2+9t4)3/2\\curvate in t=1\\curvate=(36+36+4)1/2/(1+4+9)3/2=761/2/143/2[/tex]

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Answer:

To find the greatest number of tickets Jessica can buy, we can solve the inequality for t.

First, we divide both sides of the inequality by 5:

32/5 ≥ t

Then, we can simplify by dividing 32 by 5:

6.4 ≥ t

The result tells us that t, the number of tickets, must be less than or equal to 6.4

Since t represents the number of tickets, it must be a whole number, so the greatest number of tickets Jessica can buy is 6.

Answer:

6 tickets (t)

Step-by-step explanation:

32/$5=6 2/5 so 6 tickets (t)

Answer:

a) To find out how many pounds a 137 ounce baby weighs, we divide the weight in ounces by the number of ounces per pound.

137 ounces / 16 ounces/pound = 8.5625 pounds

Therefore, a 137 ounce baby weighs 8.5625 pounds.

b) To find out how much heavier the second baby is, we first convert the weight of the second baby from pounds to ounces.

We know there are 16 ounces in one pound, so we can multiply 9.375 (9 3/8) by 16 to find out how many ounces the second baby weighs.

9.375 * 16 = 150.4 ounces

Now we can subtract the weight of the first baby from the weight of the second baby to find out the difference in weight.

150.4 - 137 = 13.4 ounces

Therefore, the second baby is 13.4 ounces heavier than the first baby.

The z-score corresponding to an observation is -1.64 and option b is the correct answer.

The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from the mean serve as the unit of measurement for Z-score. The score for a data point is equal to the mean score if the Z-score is 0. A result that deviates by one standard deviation from the mean is indicated by a Z-score of 1.0.

The z-score is given by the following formula:

z = 4.5 - 5.7/ 0.61

z = -1.64

Hence, the z-score corresponding to an observation is -1.64 and option b is the correct answer.

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For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.

If this drawing is proportional, we can see that 12 was divided by 2 to get 6. We can do the same to 8.

8 ÷ 2 = 4

The width of the new drawing is 4.