(12.28) in a table of random digits such as table b, each digit is equally likely to be any of 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. what is the probability (±0.1) that a digit in the table is a 6?

Answer:

y=8

Step-by-step explanation:

3y+5y=64

8y=64

y=8

Answer: Y=8

Step-by-step explanation:

Add 3y + 5y which equals 8y

Divide the 8y by 64

64/8 = 8

So y = 8

We can fit 25 notebooks on the space.

Now, According to the question:

The width of the notebook is 2/5

The length of the space is 10 inches.

To find the number of the notebooks can put there divide 30 by 2/3

Number of the books : \(\frac{10}{\frac{2}{5} }\) = 10 × \(\frac{5}{2}\)

=> 50/2 = 25

The number of the notebook is 25

We can fit 25 notebooks on the space.

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Answer:

\(y - 3 = - 4(x + 2)\)

Answer:

x = 5

Step-by-step explanation:

yeah-ya...... right?

Step-by-step explanation:

the slope is the ratio y change/ x change.

it is -5 here, that means -5/1.

we see in the points that y changes +5 units (from 1 to 6). so, to get a negative slope, the x change must be negative then (and must be -1, so that we still get the slope of -5/1).

in order for the x change to be -1 when going from point 1 to point 2, the starting x of point 1 must be 4 + 1 = 5.

so, point 1 is (5, 1).

point 2 is a indicated (4, 6).

The 84th derivative of 2sin(x) at x = -π/3 is -2cos(-π/3) = -2cos(π/3) = -2(-1/2) = 1.

The 84th derivative of 2sin(x) at the point x=-π/3 can be found using the chain rule and the fact that the derivative of sin(x) is cos(x). The chain rule states that the derivative of a function f(g(x)) is f'(g(x))g'(x). In this case, f(x) = 2sin(x) and g(x) = x, so f'(x) = 2cos(x) and g'(x) = 1. Therefore, the 84th derivative of 2sin(x) is 2cos(x) * 1 = 2cos(x).

To find the value of the 84th derivative at the point x=-π/3, we simply plug in -π/3 for x in the expression 2cos(x):

2cos(-π/3) = 2 * (1/2) = 1

Therefore, the 84th derivative of 2sin(x) at the point x=-π/3 is 1.

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Given statement: For log normally distributed returns, the annual geometric average return is always greater than the arithmetic average return.

The given statement is true.

This is because log normal distribution assumes that the rate of return is compounded continuously, which leads to a higher final value of the investment.

For lognormally distributed returns, the geometric average return is greater than the arithmetic average return.

This is because the lognormal distribution has a positive skew, meaning that there are more small positive returns and fewer large negative returns.

This leads to compounding effects over time, which favor the geometric average return.

The geometric average return is calculated by taking the nth root of the product of (1+Ri),

where Ri is the return for the ith period.

The arithmetic average return is calculated by taking the average of the returns over a period.

Therefore, for lognormally distributed returns, the geometric average return is greater than the arithmetic average return.

The geometric average return takes into account the compounding effect, whereas the arithmetic average return does not.

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Answer:

28 i think [⩾▾⩽]

Step-by-step explanation:

since this is a right angle, all you have to do is subtract 62 from 90 because a right angle is equal to 90 degrees.

hope this helps^^

have a great day :D

Given:

The expression is:

\((x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}\)

To find:

The value of the given expression when \(x=64\) and \(y=27\).

Solution:

We have,

\((x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}\)

Putting \(x=64\) and \(y=27\), we get

\(=((64)^2(27)-3)^0+(64)^{\frac{1}{3}}-(4(64))^{\frac{1}{2}}\)

It can be written as

\(=((64)^2(27)-3)^0+(4^3)^{\frac{1}{3}}-(4)^{\frac{1}{2}}(64)^{\frac{1}{2}}\)

\(=1+4-2(8)\)           \([\because a^0=1,a\neq 0]\)

\(=5-16\)

\(=-11\)

Therefore, the value of the given expression \(-11\) when \(x=64\) and \(y=27\).

Answer: Therefore, the total area inside the loop is (32/15)\(\sqrt{3}\) square units.

Step-by-step explanation:

To find the t values at which the curve intersects itself, we need to solve the equation x(t1) = x(t2) and y(t1) = y(t2) simultaneously, where t1 and t2 are different values of t.

x(t1) = x(t2) gives us:

9 - (4/2)t1^2 = 9 - (4/2)t2^2

Simplifying this equation, we get:

t1^2 = t2^2

t1 = ±t2

Substituting t1 = -t2 in the equation y(t1) = y(t2), we get:

(-4/6) t1^3 + 4t1 + 1 = (-4/6) t2^3 + 4t2 + 1

Simplifying this equation, we get:

t1^3 - t2^3 = 6(t1 - t2)

Using t1 = -t2, we can rewrite this equation as:

-2t1^3 = 6(-2t1)

Simplifying this equation, we get:

t1 = ±sqrt(3)

Therefore, the curve intersects itself at t = +\(\sqrt{3}\) and t = -\(\sqrt{3}\)

To find the total area inside the loop, we can use the formula for the area enclosed by a parametric curve:

A = ∫[a,b] (y(t) x'(t)) dt

where x'(t) is the derivative of x(t) with respect to t.

x'(t) = -4t

y(t) = (-4/6) t^3 + 4t + 1

Therefore, we have:

A = ∫[-\(\sqrt{3}\),\(\sqrt{3}\)] ((-4/6) t^3 + 4t + 1)(-4t) dt

A = ∫[-\(\sqrt{3}\)),\(\sqrt{3}\)] (8t^2 - (4/6)t^4 - 4t^2 - 4t) dt

A = ∫[-\(\sqrt{3}\),\(\sqrt{3}\)] (-4/6)t^4 + 4t^2 - 4t dt

A = [-(4/30)t^5 + (4/3)t^3 - 2t^2] [-\(\sqrt{3}\),\(\sqrt{3}\)]

A = (32/15)\(\sqrt{3}\)

Therefore, the total area inside the loop is (32/15)\(\sqrt{3}\) square units.

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Answer:

c = f + 2

Step-by-step explanation:

Each time there is a new figure ( f ), two circles ( c ) are added.

(a) The area of the circle is approximately  352.77 m² ± 39.77 m².

(b) The circumference of the circle is approximately 66.77 m ± 3.77 m.

To calculate the area and circumference of the circle and their uncertainties, we'll use the following formulas: (a) Area of a circle: A = πr²

(b) Circumference of a circle: C = 2πr

Given: Radius (r) = 10.6 ± 0.6 m

(a) Area of the Circle:

To calculate the area, we'll substitute the given value of the radius into the formula and calculate the area.

A = πr²

  = π(10.6 m)²

  = π(112.36 m²)

  ≈ 352.77 m² (rounded to two decimal places)

To determine the uncertainty in the area, we'll use the formula for propagated uncertainty:

Uncertainty in A = |(∂A/∂r)| × Uncertainty in r

Where (∂A/∂r) is the partial derivative of A with respect to r.

∂A/∂r = 2πr

Substituting the values:

Uncertainty in A = |(2πr)| × Uncertainty in r

                       = |(2π × 10.6 m)| × 0.6 m

                       = 39.77 m² (rounded to two decimal places)

Therefore, the area of the circle is approximately 352.77 m² ± 39.77 m².

(b) Circumference of the Circle: To calculate the circumference, we'll substitute the given value of the radius into the formula and calculate the circumference.

C = 2πr

  = 2π(10.6 m)

  ≈ 66.77 m (rounded to two decimal places)

To determine the uncertainty in the circumference, we'll again use the formula for propagated uncertainty:

Uncertainty in C = |(∂C/∂r)| × Uncertainty in r

Where (∂C/∂r) is the partial derivative of C with respect to r.

∂C/∂r = 2π

Substituting the values:

Uncertainty in C = |2π| × Uncertainty in r

                      = 2π × 0.6 m

                      ≈ 3.77 m (rounded to two decimal places)

Therefore, the circumference of the circle is approximately 66.77 m ± 3.77 m.

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Answer:

262 Masks

Step-by-step explanation:

190×0.38=72.2 but there cannot be 0.2 masks so it becomes 72. 190+72=262.

The total number of masks in Emma's collection is 262 Masks.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Emma has a mask collection. she keeps 190 of the masks on her wall, which is 38% of her entire collection.

The total number of masks will be calculated as,

190×0.38=72.2

But there cannot be 0.2 masks so it becomes 72.

Total mask = 190+72

Total mask =262.

Therefore, the total number of masks in Emma's collection is 262 Masks.

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Answer:

So you round 756 to 1 sig figure and it will become 800, the same with 8674 will become 9000

So 800 * 9000 = 7,200,000

Answer:

1: C) y = -x + 1

2: D) y = -3x + 8

Step-by-step explanation:

Well number 1,

c is the correct option because,

-2 -> 2

2+1 - 3

This rule applies for all the x values.

2,

X: -2, -1, 0, 1, 2

Y: 14, 11, 8, 5, 2

d is the correct option because -3*-2 is 6 + 8 = 14.

this rule applies for all x values.

Thus,

the answers are C and D.

Hope this helps :)

Answer:

quest has the greatest range

Step-by-step explanation:

hot spot's range is 1.26*10^4=12600

and quest's range is 13200

13200>12600

hope this helps :) have a nice day !!

Answer:

Step-by-step explanation:

26

The equation that makes the augmented matrix correspond to a consistent system in terms of g, h and k is as follows: -9g - 9h + 33k = 0 or 9g + 9h - 33k = 0.

The equation that makes the augmented matrix correspond to a consistent system in terms of g, h and k is as follows:-(9g + 8h - 17k) = (-g - 7h + 16k) or 9g + 9h - 33k = 0.

If we consider the given augmented matrix and write the equations in a matrix form, we get the following equations:

1g + 0h - 9k = 18g + 8h - 17k = -11h + 16k = -1

Now, let’s write the matrix equation [A | B] as AX = B, where

X = [g h k] is the column matrix of variables.

A = ⎣⎡​109​18−917​0−1116​​⎦⎤​ and

B = ⎣⎡​18−1−1​​⎦⎤​.

To make the augmented matrix correspond to a consistent system, we need to solve the matrix equation AX = B, which is equivalent to the following set of equations:

1g + 0h - 9k = 18g + 8h - 17k

= -11h + 16k

= -1

Multiplying the first equation by 9, the second equation by 1, and the third equation by -11, we get the following system of equations:

= 9g + 0h - 81k

= 816g + 8h - 17k

= -11(-1h + 16k)

= -11

Simplifying the above system of equations, we get:

9g - 81k = -818g + 8h - 17k

= -11- h + 16k

= -1 or

h = 16k + 1

Putting the value of h in the second equation,

we get:

18g + 8(16k + 1) - 17k

= -1118g + 8(16k) - 8 + 17k

= -1118g + 9k = -3

Multiplying the above equation by 3,

we get:

54g + 27k = -9 or 9g + 3k = -3

or 9g + 3h - 33k = 0.

9(g + h/3 - 11k/3) = 0.

So, the equation that makes the augmented matrix correspond to a consistent system in terms of g, h, and k is as follows:-9g - 9h + 33k = 0 or 9g + 9h - 33k = 0. Or 9(g + h/3 - 11k/3) = 0.

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Answer:

The mass of 3.5 moles of Ca (Sodium)  is 140 g to two significant figures.

The spread of the sampling distribution is equal to the standard deviation divided by the square root of the sample size.

What is sample size?

The sample size is defined as the number of observations used to estimate a given population. The population was used to determine the size of the sample. The process of selecting a subset of individuals from a population to estimate the characteristics of the entire population is known as sampling. For analysis, the number of entities in a subset of a population is chosen.

The spread of the sampling distribution is proportional to the spread of the sample and its size. We calculate the spread of the sampling distribution as the population standard deviation divided by the square root of the sample size.

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Answer:

Work shown below!

Step-by-step explanation:

f(n) = 16 - 2(n - 1)

f(1) = 16 - 2(1 - 1)

f(1) = 16 - 2(0)

f(1) = 16

Common difference is -2

Answer:

Yes

Step-by-step explanation:

The percentage of their matches that SPARX FC have is lost 35% of their matches.

The percentage of matches lost by SPARX FC is calculated using the formula below:

Total number of matches played = 7 + 6 + 7

Total number of matches played = 20

Number of matches lost = 7

Percentage of matches lost = (7 / 20) * 100

Percentage of matches lost = 35%

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Answer:

Yes, your answer is correct.

In 2013, an Ipsos Global poll conducted for Reuters News found that 63% of 1,000 Canadians supported the legalization of same-sex marriage, who support legalization is 50%, and the alternative hypothesis (Ha: pi not = 0.50) that suggests the population proportion is different from 50%.

a) The standard error measures the variability or uncertainty of the sample proportion compared to the true population proportion. It can be calculated as the square root of (pi * (1 - pi)) divided by the sample size. In this case, the standard error would be computed to estimate the proportion of Canadians who support same-sex marriage.

b) To test the hypothesis, we need to calculate the test statistic. The test statistic for this scenario is the z-score, which is calculated by subtracting the hypothesized population proportion from the sample proportion and dividing it by the standard error. This provides a measure of how many standard errors the observed proportion differs from the hypothesized proportion.

c) By determining the test statistic, we can find the associated p-value. The p-value represents the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true. If the p-value is less than the significance level (e.g., 0.05), we can reject the null hypothesis. In this context, the p-value would indicate the strength of evidence against the claim that the population proportion is 50%.

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The wheel has diameter 60 cm = 0.60 m, and thus circumference π(0.60 m) ≈ 5.923 m.

In one complete revolution, a point on the edge of the wheel covers this distance, so that the wheel has an angular speed of

(13.2 m/s) * (1/5.923 rev/m) ≈ 2.229 rev/s

There are 60 seconds to each minute, and 60 minutes to each hour, so converting to rev/h gives

(2.229 rev/s) * (60 s/min) * (60 min/h) ≈ 8024 rev/h

Answer:

6

Step-by-step explanation:

\(h \sqrt{28 } \\ \sqrt{28} = \sqrt{4 \times 7} \\ \sqrt{28} = \sqrt{4} \times \sqrt{7} \\ 2 \sqrt{7} \\ 8 \sqrt{7} - 2 \sqrt{7} = 6 \sqrt{7} \)

hope this helps :D have a good day

The number of cruise passengers must there have been in 2017 is  26.7 million.

The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Now according to the question;

Let x represent the total number for cruise passengers during 2017.

In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.

So, 106.7 % of x = 28.5

\(\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}\)

Multiplying both sides by 100;

\(\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}\)

Dividing both sides by 106.7;

\(\frac{106.7 x}{106.7}=\frac{2850}{106.7}\)

x = 26.7

Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.

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Sum of two angles that are complementary = 90°

Let the smaller angle be x .

Then the larger angle = 2x

Let us make an equation to find the measure of both the angles :-

\(2x + x = 90\)

\(3x = 90\)

\(x = \frac{90}{3} \)

\(x = 30\)

Which means :-

Measure of the small angle = 30°

Measure of the larger angle = 2 × 30 = 60°

Therefore , the measure of the bigger angle is 60° .