Divide negative 3 and one-sixth ÷ negative 8 and two-fifths.

252 over 95
95 over 252
51 over 30
30 over 51

Answer:

E

Step-by-step explanation:

Here’s a tree diagram that represents the total outcomes for selecting two stones by choosing a white stone first and a red stone second:

         Start

          |

          |

    ______|______

   |             |

   |             |

White 1       White 2

   |             |

   |             |

___|___       ___|___

|       |     |       |

|       |     |       |

Red 1   Red 2 Red 1   Red 2

There are two branches at the first level representing the two possible choices for the white stone. For each of these branches, there are two branches at the second level representing the two possible choices for the red stone. So there are a total of 2 * 2 = 4 possible outcomes: (White 1, Red 1), (White 1, Red 2), (White 2, Red 1), and (White 2, Red 2).

Answer:

hope it helps.

Answer:

The answer is below

Step-by-step explanation:

The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.

Let the hypotenuse be b, length be a and height be c Hence:

b² = a² + c²

b² = 3² + 5²

b² = 9 + 25

b² = 34

b = 5.83 feet

B) The plywood needs to be 5.83 feet long

C) Since the top of the ramp is 10 feet, let us assume the height of the ramp to be 6 feet, hence, the length of the ramp a is:

10² = a² + 6²

100 = a² + 36

a² = 64

a = 8 feet

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We are required to calculate how many minutes does it take Autumn to walk to work now

The number of minutes does it take Autumn to walk to work now is 25.35 minutes

Time taken to walk to work = 39 minutes

Percentage decrease = 35%

Decrease in time = 35% of 39 minutes

= 35/100 × 39 minutes

= 0.35 × 39 minutes

= 13.65 minutes

Number of minutes does it take Autumn to walk to work now

= 39 minutes - 13.65 minutes

= 25.35 minutes

Therefore, the number of minutes does it take Autumn to walk to work now is 25.35 minutes

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Answer:

3 3/4 cups of sugar

Step-by-step explanation:

We are told that Julia keeps 255 masks on the wall and 45 on the display case, this means in total the number of masks she has is

The number of masks Julia keeps on the wall is 255 masks; therefore, the percentage of fo masks on the wall is

Hence, Julia keeps 85% of her mask collection on her wall.

The Edit Distance Algorithm is an important concept in computer science. The algorithm compares two strings and finds the minimum number of operations (insertions, deletions, and substitutions) that are required to transform one string into the other.

Below is the solution to the given question:

X = (B, A, N, A, N, A)      

Y = (P, A, N, D, O, R, A)

Table to compute Edit Distance:

P A N D O R A 0 1 2 3 4 5 6 B 1 1 2 3 4 5 6 A 2 1 2 3 4 5 6 N 3 2 1 2 3 4 5 A 4 3 2 3 4 5 6 N 5 4 3 2 3 4 5 A 6 5 4 3 4 5 4

The table shown above contains the minimum number of operations required to transform one string into the other. The top row represents string Y, and the left column represents string X. The table is filled using the following formula: If the characters at the current position are the same, then the value is taken from the diagonal element. (In this case, no operation is required.)

If the characters are different, then the value is taken from the minimum of the three elements to the left, above, and diagonal to the current element. (In this case, the operation that produces the minimum value is chosen.)

From the table above, the optimal solution can be found by tracing back the path that produced the minimum value. Starting from the bottom right corner, the path that produces the minimum value is:

A  -> R (Substitution)

O -> O (No operation)

D -> N (Substitution)

N -> A (Substitution)

A -> A (No operation)

P -> B (Substitution)

Therefore, the optimal solution is to substitute A with N, N with D, A with N, and P with B. So, (B, A, N, A, N, A) can be transformed into (P, A, N, D, O, R, A) using four operations.

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Answer:

536 cm is equal to 53.6 dm

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

Answer: 1/2 inch = 1 foot

Step-by-step explanation: i got it right

Answer:

1/2 inch = 1 foot

Step-by-step explanation:

This is most likely the correct answer.

the EIR from this transaction is 16.25% (Option B, None of the above).

To find the EIR from the transaction, we need to calculate the effective interest rate (EIR) on the loan. The formula for EIR is:

EIR = [(1 + r/n)ⁿ - 1] x 100

where r is the nominal interest rate, and n is the number of compounding periods per year.

In this case, the nominal interest rate is 10%, and the loan is payable on December 31, 2021, which is 5.5 years from June 30, 2016. Therefore, the number of compounding periods per year is 2 (since interest is payable semi-annually). Substituting these values into the formula, we get:

EIR = [(1 + 0.10/2)₂ - 1] x 100 = 10.25%

However, the bank requires a maintaining balance of 6% for any amount borrowed. Therefore, the effective interest rate is increased by this amount. Adding 6% to the EIR, we get:

EIR = 10.25% + 6% = 16.25%

Therefore, the EIR from this transaction is 16.25% (Option B, None of the above).

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Answer: where's the table..

Step-by-step explanation:

(a) To test the claim that the mean rainfall from seeded clouds exceeds 26.5 acre-feet, we can conduct a one-sample t-test. Given the sample data and a significance level of α = 0.01, we need to calculate the test statistic and compare it to the critical value from the t-distribution.

Using the given sample data, the sample mean is 28.32 acre-feet, and the sample standard deviation is 4.283 acre-feet. The test statistic can be calculated as (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size)), which gives us (28.32 - 26.5) / (4.283 / sqrt(20)) ≈ 2.558.

To determine the critical value, we need to find the t-value with (n - 1) degrees of freedom and a one-tailed test with α = 0.01. With 19 degrees of freedom, the critical value is approximately 2.861.

Since the test statistic (2.558) is less than the critical value (2.861), we do not have enough evidence to support the claim that the true mean rainfall exceeds 26.5 acre-feet at α = 0.01.

(b) The power of the test can be calculated as the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true. In this case, the alternative hypothesis is that the true mean rainfall is 28.5 acre-feet.

To compute the power, we need to find the t-value corresponding to the critical value at α = 0.01 and n - 1 degrees of freedom. The critical value is still 2.861, and the test statistic is now (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size)), which gives us (28.32 - 28.5) / (4.283 / sqrt(20)) ≈ -0.597.

Using the t-distribution with 19 degrees of freedom, the power of the test can be calculated as the area under the t-distribution curve to the right of the test statistic (-0.597). By consulting a t-table or using software, the power is approximately 0.279, or 27.9% when rounded to one decimal place.

Therefore, the power of the test is approximately 27.9% if the true mean rainfall is 28.5 acre-feet.

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Aksa is correct, that each layer has 24 cubes in it, as each layer is composed of four lines, and each line is composed by six cubes.

The number of cubes in each layer is obtained applying the proportions in the context of the problem.

For each layer, we have that:

Then the number of cubes in each layer is given as follows:

6 x 4 = 24 cubes.

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Answer:

11:27 am.

Step-by-step explanation:

The time which has passed when Tom overtakes Hazel is after Hazel has walked 1 hr 15 minutes and in that time Hazel has walked

1.25 * 4.8

= 6 km.

So, Tom runs 6 km in 10:15 - 9.39 = 36 minutes

= 0.6 hrs.

So, Tom's speed is 6/0.6 = 10 km/hr.

,

and Tom will take 18/10 = 1.8 hours to finish the route,

= 1 hr 48 minutes

So he finishes the route at

9:39 + 1:48

= 11:27 am.

Answer:

32 pounds

Step-by-step explanation:

$3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds.

The first step would be to derived an equation

$3 + $0.75

3 + 0.75x

Where x = number of pounds

George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping.

Hence,

3 + 0.75x = 27

0.75x + 3 = 27

0.75x = 27 - 3

0.75x = 24

x = 24/0.75

x = 32 pounds

The maximum number of pounds that this package could be is 32 pounds

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

slope

=

−

3

and y-intercept

=

−

5

Explanation:

the equation of a line in

slope-intercept form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

m

x

+

b

2

2

∣

∣

∣

−−−−−−−−−−−−−−−

where m is the slope and b the y-intercept

y

=

−

3

x

−

5

is in this form

⇒

slope

=

m

=

−

3

and y-intercept

=

b

=

−

5

Using differentials to estimate the relative error in the calculated area of the disk of disk with radius 15 cm is equals to the 3.192%.

We have, a disk with radius of 15 cm.

Maximum error = 0.25

We have to determine the area of the disk. Area is a two dimensional quantity. It is defined as the space occupied by figure or any two dimensional shape. Here, formula for area of disk, A = πr² --(1)

here, r = 15 cm , dr = 0.25

Relative error is defined as the ratio of absolute error in measurement to the oringnal measurement. Differentating the equation (1) with respect to r, dA = d( πr²)

=> dA = 2πr dr

Substitutes the known values, in above formula, dA = 2× π × 15 ×0.25

=> dA = 7.50 × π = 23.55

So, absoulte error in area = 22.55

Original value of area = π(15)² = 706.5 cm²

Now, relative error % = (∆A/A)×100

= (22.55/706.5)×100

= 0.031917 × 100

= 3.1917 ~ 3.192 %

Hence, required value is 3.192%.

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Complete question:

the radius of a disk is given 15 cm as with a maximum error of 0.25 . use differentials to estimate the relative error in the calculated area of the disk. please enter your answer in decimal format with three significant digits after the decimal point.

Answer:

X=20

Step-by-step explanation:

Verticals angles have same degree.

3x=x+40

x=20

Answer:

The value of \(x\) would be 20°.

Step-by-step explanation:

Since vertical angles are equivalent, and ∠SRT and ∠VRW are vertical angles, you can create the equation \(3x = x + 40\) to solve for \(x\). \(3x = x+40\) ⇒ \(2x = 40\) ⇒ \(x=20\)°, so that would be the correct answer.

Hello :))))

When converting 0.550 into a simplified fraction, you will get 11/20

Explanation:

0.550 times 1000/ 1 times 1000 = 550/1000

550/1000 = 11/20

Hope this helps! :)

Answer: 11/20

Answer:

\(\Huge \boxed{\boxed{\frac{11}{20}}}\)

Step-by-step explanation:

To turn 0.550 into a fraction, we need to write it in the form of \(\frac{p}{q}\) where \(p\) and \(q\) are both positive integers. Here are the steps to do that:

Step 1: Take your decimal number and set it as the numerator of a fraction with denominator of 1.

So, we have:

\(\large \boxed {\frac{0.550}{1}}\)

Step 2: Multiply both the numerator and denominator by 1000 to get rid of the decimal point.

This gives us:

\(\large \boxed {\frac{550}{1000}}\)

Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF).

In this case, the GCF of 550 and 1000 is 50. So, we can simplify the fraction by dividing both the numerator and denominator by 50. This gives us:

\(\large \boxed {\frac{11}{20}}\)

Therefore, 0.550 as a fraction is \(\bold {\frac{11}{20}}\).

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Answer:

i think it is not related

Step-by-step explanation:

hope this helps <3

Answer:

-1

Step-by-step explanation:

Given,

f(x) = -x² + 4x - 1 and x = 0

Putting the value of x we get,

f(0)= \(-0^{2}\) + (4 X 0) - 1

    = -0+0-1

    =-1

∴f(x)= -1

So, the required value is -1

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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Answer:

C and A

Step-by-step explanation:

We require to rationalise the denominators of the expressions by multiplying the numerator/ denominator by the conjugate of the denominator

given a + ib then conjugate is a - bi

note that i² = - 1

given

\(\frac{4+i}{3-1}\)

multiply numerator/denominator by 3 + i , the conjugate of 3 - i

= \(\frac{(4+i)(3+i)}{(3-i)(3+i)}\) ← expand numerator/ denominator using FOIL

= \(\frac{12+4i+3i+i^2}{9+3i-3i-i^1}\)

= \(\frac{12+7i-1}{9+1}\)

= \(\frac{11+7i}{10}\)

= \(\frac{11}{10}\) + \(\frac{7}{10}\) i ← in the form a + bi

with a = \(\frac{11}{10}\)

----------------------------------------------------------------------------

\(\frac{1}{1+i}\)

multiply numerator/denominator by 1 - i , the conjugate of 1 + 1

= \(\frac{1-i}{(1+i)(1-i)}\) ← expand denominator

= \(\frac{1-i}{1-i^2}\)

= \(\frac{1-i}{1+1}\)

= \(\frac{1-i}{2}\)

= \(\frac{1}{2}\) - \(\frac{1}{2}\) i ← in the form a + bi ( b is the imaginary part )

with b = - \(\frac{1}{2}\)

Answer:

We can simplify each term in the polynomials and then perform the subtraction:

(3^5 + 8^3) − (7^2 − 6^3)

= 243 + 512 − 49 + 216

= 752 - 33

= 719

So, (3^5 + 8^3) − (7^2 − 6^3) = 719

Hello! :3

Correct Answer: 716

The answer below is incorrect! solved with 3^3 instead of 3^5! OOPS!!!

Hope this helps! :)