what is the cube root of 27/64?​

The probability of the random item chosen that it is less than 16.4 inches long is 2.7%

Probability means ?

The likelihood of an event happening is calculated using the probability formula. To review, probability is the probability that an event will occur. What is the likelihood that a specific event will occur when a random experiment is considered? is one of the first queries that pops into our heads. A prediction's chance is expressed as a probability. If we suppose that, for example, x represents the probability that an event will occur, then (1-x) is the probability that the event will not occur.

Variance of sample mean =1.3^2/1= 1.69

S D of sample mean =1.69^(1/2)= 1.3

Z score for length of 16.4 is( 16.4-15.4)/1.3= 0.7692307

The p value for -1.67 in standard normal table is 0.04746

The required probability =0.02764

Only 2.7% of the time will the sample mean be shorter than 16.4 inches.

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The second digit after the decimal point is 9. We repeat this process until we have found the 5280th digit:

```

0.294117647058823529...

               50

To find the 5280th digit in the decimal expansion of 5/17, we need to find the first 5280 digits of the decimal expansion and then look at the 5280th digit.

To do this, we can use long division to divide 5 by 17. We start by dividing 5 by 17 to get the first digit after the decimal point:

```

0.294117647058823529...

```

We can see that the first digit after the decimal point is 2. To get the second digit, we multiply the remainder (5) by 10 and then divide by 17:

```

5 * 10 = 50

50 / 17 = 2 remainder 16

```

The second digit after the decimal point is 9. We repeat this process until we have found the 5280th digit:

```

0.294117647058823529...

               50

            -----

5 * 10 = 50 | 16.0000000000000000000000000000000000000000000000000000000000000000000000...

            0

           ---

             160

             153

             ---

               70

               68

               --

                20

                17

                --

                 30

                 17

                 --

                 130

                 119

                 ---

                  110

                  102

                  ---

                    80

                    68

                    --

                    120

                    119

                    ---

                      10

                       8

                      --

                       20

                       17

                       --

                        30

                        17

                        --

                        130

                        119

                        ---

                         110

                         102

                         ---

                           80

                           68

                           --

                           120

                           119

                           ---

                             10

                              8

                             --

                              20

                              17

                              --

                              30

                              17

                              --

                              130

                              119

                              ---

                               110

                               102

                               ---

                                 80

                                 68

                                 --

                                 120

                                 119

                                 ---

                                   10

                                    8

                                   --

                                   20

                                   17

                                   --

                                   30

                                   17

                                   --

                                   130

                                   119

                                   ---

                                    110

                                    102

                                    ---

                                      80

                                      68

                                      --

                                      120

                                      119

                                      ---

                                        10

                                         8

                                        --

                                        20

                                        17

                                        --

                                        30

                                        17

                                        --

                                        130

                                        119

                                        ---

                                         110

                                         102

                                         ---

                                           80

                                           68

                                           --

                                           120

                                           119

                                           ---

                                             10

                                              8

                                             --

                                             20

                                             17

                                             --

                                             30

                                             17

                                             --

                                             130

                                             119

                                             ---

                                              110

                                              102

                                              ---

                                                80

                                                68

                                                --

                                                120

                                                119

                                                ---

                                                  10

                                                   8

                                                  --

                                                  20

                                                  17

                                                  --

                                                  30

                                                  17

                                                  --

                                                  130

                                                  119

                                                  ---

                                                   110

                                                   102

                                                   ---

                                                     80

                                                     68

                                                     --

                                                     120

                                                     119

                                                     ---

                                                       10

                                                        8

                                                       --

                                                       20

                                                       17

                                                       --

                                                       30

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Answer: This one is equal to what we were looking for.

4 × 5c = 20 - 8d = 12

Step-by-step explanation:

(20c - 8d = 12) so we are look for an expression that is equal to 20c 8d and 12

2 × 10c = 20 + 4d = 24

4 × 5c = 20 - 8d = 12

4 × 5c = 20 - 2d = 18

c20 - 8d = 12

As A line goes through the point (5, 7) and has a gradient of 23, and when y = 13, the x-coordinate is 14.

A line is an incredibly long entity which lacks width, depth, as well as curvature. A line is therefore a one-dimensional object, even though it can also appear in two-, three-, and far more spaces. In everyday language, a line is described as a reference line with two locations acting as its ends. A line is a mono, straight object that has no breadth and can extend in both dimensions indefinitely. It is common for people to employ the terms "straight line" or "ancient precise line" to characterize a line that has no "wobble" anything along its length. (Casey 1893)

given

(i) Gradient of the line =6/x−5

18=2(x−5)

9=x−5

x=14

As A line goes through the point (5, 7) and has a gradient of 23, and when y = 13, the x-coordinate is 14.

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To multiply an octal number n directly in octal by 10s, you simply shift the number n s places to the left, adding s number of 0s to the right.

To divide an octal number directly in octal by 10s, you simply shift the number n s places to the right, removing s number of digits from the right.

You then calculate the quotient and remainder. For example, if n = (741)s, and s = 2, then:

(741)s / (10)s = (74)s with a remainder of 1.

To determine the binary form of the number n = 22019, you can convert each digit of the decimal number to binary and then combine the binary digits. Here's the conversion process:

22,019 / 2 = 11,009 with a remainder of 1

11,009 / 2 = 5,504 with a remainder of 1

5,504 / 2 = 2,752 with a remainder of 0

2,752 / 2 = 1,376 with a remainder of 0

1,376 / 2 = 688 with a remainder of 0

688 / 2 = 344 with a remainder of 0

344 / 2 = 172 with a remainder of 0

172 / 2 = 86 with a remainder of 0

86 / 2 = 43 with a remainder of 0

43 / 2 = 21 with a remainder of 1

21 / 2 = 10 with a remainder of 1

10 / 2 = 5 with a remainder of 0

5 / 2 = 2 with a remainder of 1

2 / 2 = 1 with a remainder of 0

1 / 2 = 0 with a remainder of 1

So the binary form of n = 22019 is 1010110011011. The number n has 13 binary digits.

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Answer:

392,000

Step-by-step explanation:

(i'm not that good at math but, i'll tried so don't take my answer seriously if yk what i mean...)

So it says that the markets will increase by 10% each year and there are 5,600

so i times 10 by 5600 and i got 56,000

and because it says it will increase 10% EACH year i timesed

56,000 by 7 and got    392,000

OR another way of solving/shorter it is    so since it says it increased by 10% each year i am going to times

5,600 by 70 and got 392,000

Answer:

secθ = 17/15

Explanation:

From the information given,

Cosθ = 15/17

The right triangle representing this angle is shown below

Considering right triangle ABC in the figure,

hypotenuse = AC = 17

Adjacent side = AB = 15

Opposite side = BC

We would find BC by applying the pythagorean theorem which is expressed as

hypotenuse^2 = opposite side^2 + adjacent side^2

Thus,

17^2 = BC^2 + 15^2

289 = BC^2 + 225

BC^2 = 289 - 225 = 64

BC = √64

BC = 8

BC is in the negative y axis, Thus,

opposite side = BC = - 8

Recall, θ is in the 4th quadrant

Sinθ = opposite side/hypotenuse

Sin is negative in the 4th quadrant

Thus,

Sinθ = - 8/17

cscθ = 1/Sinθ = - 17/8

tanθ = opposite side/adjacent side

tanθ =

secθ = 1/cosθ = 1/(15/17) = 1 x 17/15

secθ = 17/15

Cosθ = adjacent side/hypotenuse

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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Answer:

They should bepostive so no neg answer

Step-by-step explanation:

Answer:

Your y coordinate will be 0, -3 and your x coordinate will be 4,0

Step-by-step explanation:

Answer:

x = 23

Step-by-step explanation:

Since the lines m and n are parallel, then x+1 is complimentary to 7x-5, both of them forming a 180º angle:

x + 1 + 7x - 5 = 180

8x - 4 = 180

8x = 180 + 4

8x = 184

x = 184 / 8

x = 23

The point on the number line is one-fifth of the way from the point −9 to the point 17 is -3.8.

A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.

A number line is exactly what it sounds like—a horizontal, straight line with numbers spaced evenly apart throughout its length. Since it's not a ruler, the distance between each number is irrelevant; instead, the numbers on the line specify how it should be used.

Given:

Number line is one-fifth of the way from the point −9 to the point 17.

As, Distance between the given points is  17 - (-9) = 26 units

Also, 3/7 of the way from A

=  26 * 1/5 =  5.2 units

and, the location of the point is

=  -9 + 5.2

=  -3.8

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Answer: The point on the number line is one-fifth of the way from the point −9 to the point 17 is -3.8.

Step-by-step explanation:

Answer: 12

Step-by-step explanation: Use the quadratic equation to solve the equation.

a = 1

b = -8

c = 12

Answer:

x=6 is the answer

Step-by-step explanation:

x squared -8 x +12=0

6 squared=36

36-8x +12=0

x= 6 so 8*6 =48

36-48+12=0

36-48= -12

-12+12=0

hope this helps

Answer:

The binomials 16x2 + 9 and x2 + 16 didn’t have an equivalent factored form. Both are sums of perfect squares instead of differences.

Step-by-step explanation:

Official answer

The average rate of change of the function f(x) from x = 1 to x = 2 is, -3.75 when the function f(x)=20(1/4)ˣ.

Given that,

We have to find what is the function f(x)=20(1/4)ˣ average rate of change from x = 1 to x = 2.

We know that,

Average rate of change(A(x)) of f(x) over a interval [a,b] is given by:

A(x)=(f(b)-f(a))/b-a

We get the function:

f(x)=20(1/4)ˣ

Now, the average rate of change from x = 1 to x= 2

At x = 1

Then;

f(1)=20(1/4)¹=5

At x = 2

Then;

f(2)=20(1/4)²=1.25

Substitute these in above formula we have;

A(x)=f(2)-f(1)/2-1=-3.75

Therefore, The average rate of change of the function f(x) from x = 1 to x = 2 is, -3.75 when the function f(x)=20(1/4)ˣ.

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Answer:

80

Step-by-step explanation:

14 × 20 = 280

1400 - 280 = 1120

1120 ÷ 14 = 80

Answer:Older workers are staying in the workforce longer.

Step-by-step explanation: I had the same question as you it should be right.

Answer:jac ganko

Step-by-step explanation:

Answer:

The expression is equivalent to\(A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}\) is  \(\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}\).

Step-by-step explanation:

The expression provided is:

\(A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}\)

Simplify the expression A as follows:

\(A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}\)

   \(=\sqrt[4]{\frac{24}{128}\times x^{(6-4)}\times y^{(1-5)}}\\\\=\sqrt[4]{\frac{3}{16}\times x^{2}\times y^{-4}}\\\\=[\frac{3}{16}\times x^{2}\times y^{-4}]^{1/4}\\\\=[\frac{3}{16}]^{1/4}\times x^{(2\times (1/4))}\times y^{(-4\times (1/4))}\\\\=\frac{\sqrt[4]{3}}{2}}\times x^{1/2}\times y^{-1}\\\\=\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}\)

Thus, the expression is equivalent to\(A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}\) is  \(\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}\).

Equivalent expressions are expressions that have equal values

The equivalent expression of \(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}\) is \(\frac 1{2y}\sqrt[4]{ 3x^2}}\)

The expression is given as:

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}\)

Divide 24 and 128 by 8

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \sqrt[4]{ \frac{3x^6y}{16x^4y^5}}\)

Take 4th root of 16

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ \frac{3x^6y}{x^4y^5}}\)

Apply law of indices, to simplify the fraction

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ 3x^{6-4}y^{1-5}}\)

Simplify

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ 3x^{2}y^{-4}}\)

Rewrite as:

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ \frac{3x^{2}}{y^4}}\)

Take 4th root of y^4

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 1{2y}\sqrt[4]{ 3x^2}}\)

Hence, the equivalent expression of \(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}\) is \(\frac 1{2y}\sqrt[4]{ 3x^2}}\)

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The smallest number that, when divided by 21, 45, and 56, leaves a remainder of 7 is 2527.

The remaining 7 must be added after determining the least common multiple (LCM) of the numbers 21, 45, and 56.

Find the LCM of 21, 45, and 56 first:

21 = 3 * 7

45 = 3^2 * 5

56 = 2^3 * 7

The LCM is the product of the highest powers of all the prime factors involved:

\(LCM = 2^3 * 3^2 * 5 * 7 = 8 * 9 * 5 * 7 = 2520\)

Now, let's add the remainder of 7 to the LCM:

Smallest number = LCM + Remainder = 2520 + 7 = 2527

Therefore, the smallest number that, when divided by 21, 45, and 56, leaves a remainder of 7 is 2527.

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The equations out of the following that are true would be:

The remaining two I am not certain if they are true or not. The way they were laid out made little to no sense. If you could maybe evaluate further on the other options, perhaps I can double check them for you and see if there are any other remainder options that are true. However, I know for certain that A and B are true.

Answer:

(A)All real solutions

Step-by-step explanation:

Given the function g(x) shown on the graph

One of the points of the parabola is  (-3.5, 0).

The point x=-3.5 is one of the solution of the parabola since it intersects the x-axis at that point.

The other point of intersection is on the positive side between 0 and 1.

Therefore, g(x) has two solutions: One negative real number and one positive real  number.

Therefore, g(x) has all real solutions.

The correct option is A.

Answer:

All solutions that lie on g(x)

Step-by-step explanation:

I took the test and that's the correct answer...

Option B : The height of the square pyramid must be larger than the height of the triangular pyramid.

To compare the heights of the pyramids, we need to use the formula for the volume of a pyramid. The volume of a square pyramid is given by:

V = (1/3) \(Bh\), where B is the area of the base and h is the height.

The volume of a triangular pyramid is given by:

V = (1/3)\(Bh\), where B is the area of the base and h is the height.

Since the base area of both pyramids is 36 square inches, we can write:

\(V_square\) = (1/3) * 36h_square

\(V_triangular\) = (1/3) * 36h_triangular

And since the volume of the square pyramid is twice as large as that of the triangular pyramid, we can write:

2V_triangular = \(V_square\)

Substituting the expressions for \(V_square\) and \(V_triangular\) into the equation above, we get:

2(1/3) * 36h_triangular = (1/3) * 36h_square

Solving for \(h_square\) and \(h_triangular\), we get:

2h_triangular =\(h_square\)

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The given statement is false and the explanation is given below:projvu = projuv This equation is equivalent to (proj v u).v = (proj u v).u.

Therefore, the given statement is not true. For example, consider the vectors u = (1, 0) and v = (0, 1). The projection of u onto v is zero, and the projection of v onto u is zero. In this case, projvu ≠ projuv, which implies that the given statement is not correct. Thus, the given statement is False.

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The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

so their was 3 to 4 so we need to divide 3564 by 3

and then mulitply by 4 to get 4752

Hope This Helps!!!

ATQ

\(\\ \tt\longmapsto \dfrac{3}{4}=\dfrac{x}{x+3564}\)

\(\\ \tt\longmapsto 4x=3x+10692\)

\(\\ \tt\longmapsto 4x-3x=10692\)

\(\\ \tt\longmapsto x=10692\)

Answer: m = 6

Step-by-step explanation: In a calculator, I put in the following equation:

12.6 = 0.85m + 7.5

and that have me the answer of 6

We can double check this solution by putting the following equation in the calculator:

(0.85 x 6) + 7.5 =

and you will see that is = to 12.6

Answer:

m = 6

Step-by-step explanation:

Isolate the variable, m. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 7.5 from both sides of the equation:

\(0.85m + 7.5 = 12.6\\0.85m + 7.5 (-7.5) = 12.6 (-7.5)\\0.85m = 12.6 - 7.5\\0.85m = 5.1\)

Next, isolate the variable, m, by dividing 0.85 from both sides of the equation:

\(0.85m = 5.1\\\frac{(0.85m)}{0.85} = \frac{(5.1)}{0.85} \\m = \frac{5.1}{0.85} \\m = 6\)

6 would be your value for m.

~

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The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer:

D. 4:9

Step-by-step explanation:

12 tulips to Toltal number of flowers

12+15=27 so,

12:27 simplify it and you get

4:9

Answer:

(1.08)($14.61) = $15.78