Oscar collects string. He has 95 yards rolled into a ball. How many pieces
that are 0.05 of yard long can he cut from his ball of string?

Statistical considerations for the use of composite health-related quality-of-life scores in randomised trials

This is a research paper whose author is Andrew J. Vickers.

Abstract:

Conclusions:

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Answer:

$75

Step-by-step explanation:

180÷12=15

so $15 for one pound.

15×5=75

Five pounds will be $75

The sample space is 4845.Therefore, option C is correct.

Given: The mayor of a city randomly chooses 4 of the 20 wards in her city and surveys all the voters in those selected wards.

Solution: We have a sample size of 4 wards out of a total of 20 wards. The mayor has chosen all the voters in those 4 wards. So, the sampling method used here is stratified sampling as the mayor chose the voters of specific 4 wards.

Sample space = Total number of ways to select 4 wards out of 20 wards= C(20,4) = 20!/(4!(20 - 4)!) = 4845

Hence, the sample space is 4845.Therefore, option C is correct.

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Answer:

Answer: D. Q(5, −6) and R(−5, 6)

Step-by-step explanation:

Answer:

Step-by-step explanation:

45

Answer:

hi

Step-by-step explanation:

mad

The probability that you select a black card and a red card is 26/51 as per the condition mentioned "choosing two cards (without replacement )".

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

Since we have not mentioned the order,

so it can black-red or red-black,

=26/52*26/51+26/52*26/51

=2*26/52*26/51

=26/51

Assuming you choose two cards (without replacement), there is a 26/51 chance that you will choose a black card and a red card.

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Given data:

The upper end length of the trapezoid is: a=6 cm

The lower end length of the trapezoid is: b=10 cm

The height of the trapezoid is: h=15 cm

The expression to calculate the area of the trapezoid is,

Substitute vall known values in the above expression.

Thus, the area of the trapizoid is 120 square centi meter.

Answer:

x = 5/8

Step-by-step explanation:

Isolate the variable by subtracting 1/8 from both sides:

3/4 - 1/8 = 5/8

Now, the equation is:

x = 5/8

Therefore, the answer is 5/8

$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

Answer:

3/6 or 1/2.........................

Answer:

The probability is

5

6

.

Explanation:

Probability is

d

e

s

i

r

e

d

a

l

l

Let's find the possible outcomes of rolling odd.

1,3,5 are all odd. We have 3 outcomes.

Now find the possible outcome of a power of 2.

2 is

2

1

, 4 is

2

2

. We have 2 DIFFERENT outcomes.

(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)

Now, we find the total number of possible outcomes.

A dice has 6 different outcomes.

Now add up the desired outcomes,

3

+

2

=

5

and so the probability is

5

6

Answer:

Then make one

Step-by-step explanation:

Ans

2:47 mins

Step-by-step explanation:

2 1/6 ÷7/8 = 2 10/21

2 10/12 to decimal 2.47

The Hamming distance metric is the best metric for describing how far apart two binary vectors of the same length are. The reason for this is that the Hamming distance is a measure of the difference between two strings of the same length.

Its value is the number of positions in which two corresponding symbols differ.To compute the Hamming distance, two binary strings of the same length are compared by comparing their corresponding symbols at each position and counting the number of positions at which they differ.

The Hamming distance is used in error-correcting codes, cryptography, and other applications. Therefore, the Hamming distance metric is the best for this particular question.

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Answer:

Integer

Explanation:

Integer number that only includes positive whole numbers and zero

Answer:

Natural

Step-by-step explanation:

By definition, a natural number is one that contains only integers (whole numbers like 1, 2, and 3...) but cannot be less than zero.

The next natural number in sequence can be found by adding one to it.

The side lengths of the given triangle are 3 m, 10 m, and 10 m.

Let's assume the length of the third side of the triangle is x.

According to the given information, the two equal sides of the triangle are each 8 m less than six times the third side. Therefore, the lengths of the two equal sides can be expressed as:

6x - 8

6x - 8

The perimeter of a triangle is the sum of all three sides. In this case, the perimeter is given as 23 m:

x + (6x - 8) + (6x - 8) = 23

Simplifying the equation:

x + 6x - 8 + 6x - 8 = 23

13x - 16 = 23

13x = 23 + 16

13x = 39

x = 39 / 13

x = 3

Now that we have the value of x, we can find the lengths of the two equal sides:

Equal side 1 = 6x - 8 = 6 * 3 - 8 = 10 m

Equal side 2 = 6x - 8 = 6 * 3 - 8 = 10 m

Therefore, the side lengths of the triangle are 3 m, 10 m, and 10 m.

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I don't know the answer please

Answer:

1/2

Step-by-step explanation:

From the equation we see that the center of the circle is at (-2,3) and the radius is 9.

So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...

d^2=(8--2)^2+(4-3)^2  and d^2=r^2=81 so

81=10^2+1^2

81=101  which is not true...

So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.  

Thus the point lies outside or on the exterior of the circle...

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Answer:

the fisrst cup has a volume of 100.53

Step-by-step explanation:

Answer:

\(R=883.74N\)

Step-by-step explanation:

From the question we are told that:

Force 1 \(F_1=226N\)

Force 2 \(F_2=331N\)

Force 3 \(F_3=377N\)

Direction 1  \(\theta_1=145 degrees \approx 35 \textdegree (2nd qudrant)\)

Direction 2 \(\theta_2=303 degrees \approx 57 \textdegree (3rd qudrant)\)

Direction 3 \(\theta_3=77 degrees\)

Generally Resolving forces to X axis is mathematically given by

 \(\sum f_x=337cos77+331cos57+226sin35\)

 \(\sum f_x=351.596N\)

Generally Resolving forces to Y axis is mathematically given by

 \(\sum f_y=337sin77+331sin57+226cos35\)

 \(\sum f_x=810.788N\)

Generally the equation for Resultant force R is mathematically given by

 \(R=\sqrt{\sum f_x^2+\sum f_x^2}\)

 \(R=\sqrt{351.596^2+810.788^2}\)

 \(R=883.74N\)

9 f(x) dx of f(x) = 5 for x < 5 x for x ≥ 5 is  53 when x is between 0 and 9.

What is integration ?

Integration is a fundamental concept in calculus, which is used to find the area under a curve and the total change of a function. It is the reverse process of differentiation and can be used to find the original function, given its derivative.

For f(x) = 5 for x < 5, we have

∫(5dx) from 0 to 5 = 5*(5-0) = 25

For f(x) = x for x ≥ 5, we have

∫(x dx) from 5 to 9 = (1/2)x^2 from 5 to 9 = (1/2)(9^2 - 5^2) = (1/2)(81 - 25) = (1/2)(56) = 28

So the definite integral of the piecewise function is

∫(9 f(x) dx) from 0 to 9 = ∫(5dx) from 0 to 5 + ∫(x dx) from 5 to 9 = 25 + 28 = 53,

Therefore , 9 f(x) dx of f(x) = 5 for x < 5 x for x ≥ 5 is  53 when x is between 0 and 9.

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Step-by-step explanation:

3x + 4 + 2x +7

= 3x + 2x + 4 + 7

= 5x + 11

Answer:

A. (3, 8) and \(2\sqrt{2}\)

B. (2, 4) and \(2\sqrt{10}\)

Step-by-step explanation:

Midpoint formula: \((\frac{x1+x2}{2} ,\frac{y1+y2}{2})\)

Distance formula: \(\sqrt{(x_{2}-x_{1}) ^2+(y_{2}-y_{1}) ^2 }\)

A. plug in the points in the formulas

(4, 7) and (2, 9)

Midpoint:

\((\frac{4 + 2}{2} , \frac{7+9}{2} )=6/2, 16/2 = (3,8)\)

Length:

\(\sqrt{(2-4)^2+(9-7)^2}=\sqrt{4+4} =\sqrt{8} =2\sqrt{2}\)

B.

(5, 5) and (-1, 3)

Midpoint:

\((\frac{5-1}{2} , \frac{5+3}{2} )=4/2,8/2=(2,4)\)

Length:

\(\sqrt{(-1-5)^2+(3-5)^2} =\sqrt{-6^2+-2^2} =\sqrt{36+4} =\sqrt{40} = 2\sqrt{10}\)

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The probability of getting a jack, a three, a club, or a diamond is approximately 0.65.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It quantifies the uncertainty associated with an outcome or event.

To determine the probability of getting a jack, a three, a club, or a diamond when one card is drawn from a standard 52-card playing deck, we need to calculate the probability of each event and sum them up.

Number of Jacks: There are 4 jacks in a deck (one jack for each suit).

Number of Threes: There are 4 threes in a deck (one three for each suit).

Number of Clubs: There are 13 clubs in a deck (one club for each rank).

Number of Diamonds: There are 13 diamonds in a deck (one diamond for each rank).

Total favorable outcomes = Number of Jacks + Number of Threes + Number of Clubs + Number of Diamonds

= 4 + 4 + 13 + 13

= 34

Total possible outcomes = Total number of cards in a deck = 52

Probability = Favorable outcomes / Total outcomes

= 34 / 52

≈ 0.6538

Rounding to the nearest hundredth, the probability of getting a jack, a three, a club, or a diamond is approximately 0.65.

Therefore, the correct answer is d. 0.65.

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Answer:

\(x = 2 \frac{1}{4} \)

Step-by-step explanation:

\( {x}^{2} = \frac{81}{16} \)

\(x > 0\)

\(x = \sqrt{ \frac{81}{16} } \)

\(x = \frac{ \sqrt{81} }{ \sqrt{16} } = \frac{9}{4} = 2 \frac{1}{4} \)

Answer:

x^2 = 81/16

x = +√(81/16) = +9/4