Simplify the fraction 44/77 as much as possible.

44/77
11/77
3/11
4/7

Answer:

\(Volume = 314500cm^3\)

Step-by-step explanation:

Given

\(Length = 125cm\)

\(Width = 37cm\)

\(Height = 68cm\)

Required

Determine the volume

Volume is calculated as:

\(Volume = Length * Width * Height\)

Substitute values for Length, Width and Height

\(Volume = 125cm * 37cm * 68cm\)

\(Volume = 314500cm^3\)

Hence, the volume of the box is \(314500cm^3\)

well, we know is a square, so that means all sides are equal, so if we just find one side and multiply it by 4, that's our perimeter, hmmmm let's use the points of K(-2 , 0) and J(3 , 5)

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ K(\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad J(\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ KJ=\sqrt{(~~3 - (-2)~~)^2 + (~~5 - 0~~)^2} \implies KJ=\sqrt{(3 +2)^2 + (5 -0)^2} \\\\\\ KJ=\sqrt{( 5 )^2 + ( 5 )^2} \implies KJ=\sqrt{ 25 + 25 } \implies KJ=\sqrt{ 50 } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE perimeter} }{4\sqrt{50} ~~ \approx ~~ }\text{\LARGE 28.3}\)

Answer:

1).00390625

2).216

3).0231481481481

Step-by-step explanation:

Step-by-step explanation:

to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor

Answer:

A=bh

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

12.5-2.2=10.3

10.3-1.5=8.8

8.8+2.6=11.4

Answer:

3.

7d=7x7=49

2g=2x10=20

49-20 = 29

Step-by-step explanation:

4.

bc=8x2 = 16

c^3= 2x2x2 =8

bc - c^3 = 16-8 =8

Answer:

A)  Mr. Simpson's class; it has a larger median value 14.5 pencils.

Step-by-step explanation:

A box plot is a visual display of the five-number summary:

From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:

Mr Johnson's class:

Mr Simpson's class:

In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.

The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.

The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).

As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.

In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.

Answer:

\(z=-1.28<\frac{a-8.54}{4.91}\)

And if we solve for a we got

\(a=8.54 -1.28*4.91=2.2552\)

And for this case we can conclude that the time required needs to be 2.2552 minutes or less in order to be sponsored

Step-by-step explanation:

Let X the random variable that represent the time for goals in hockey games of a population, and for this case we know the distribution for X is given by:

\(X \sim N(8.54,4.91)\)  

Where \(\mu=8.54\) and \(\sigma=4.91\)

For this part we want to find a value a, such that we satisfy this condition:

\(P(X<a)=0.10\)   (a)

\(P(X>a)=0.90\)   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.10 of the area on the left and 0.90 of the area on the right it's z=-1.28.

If we use condition (b) from previous we have this:

\(P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.10\)  

\(P(z<\frac{a-\mu}{\sigma})=0.10\)

and we can do the following

\(z=-1.28<\frac{a-8.54}{4.91}\)

And if we solve for a we got

\(a=8.54 -1.28*4.91=2.2552\)

And for this case we can conclude that the time required needs to be 2.2552 minutes or less in order to be sponsored

Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.

To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:

I = P * r * t

Where:

I = Interest earned

P = Principal (initial investment)

r = Interest rate per year (expressed as a decimal)

t = Time (in years)

Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:

4850 * 0.076 * t = 8000

Simplifying the equation:

369.8t = 8000

To find t, we divide both sides of the equation by 369.8:

t ≈ 8000 / 369.8 ≈ 21.62 years

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Answer:

-5

Step-by-step explanation:

the answer is -5 because it's a loss, meaning he now has -5 dollars from what he had before.

Hope this helps!!

-Ketifa

Answer:

r = 5 km

Step-by-step explanation:

Given that,

The population in a circular region = 1.15 million

The population density of the region = 18075 people per kilometer

We need to find the radius of the region.

We can find the area of circular region i.e.

\(A=\dfrac{P}{d}\\\\A=\dfrac{1.15\times 10^6}{18075 }\\A=63.6\ km^2\)

We know that the area of a circular region is given by :

\(A=\pi r^2\\\\\pi r^2=63.6\\\\r=\sqrt{\dfrac{63.6}{\pi}} \\\\r=4.49\ km\)

or

r = 5 km

So, the radius of the region is equal to 5 km.

Answer:

c and d

Step-by-step explanation:

According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).

To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.

On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.

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The correlation coefficient of r measures how closely the two variables, x and y, are related. If the coefficient is close to 1, it means that the two variables are strongly related, whereas if it is close to 0, it means that there is no relation between them.

The correlation coefficient of r is a measure of how closely related two variables are to each other. It is calculated by taking the covariance of the two variables and dividing it by the product of their standard deviations. The coefficient ranges from -1 to +1, with -1 indicating a perfectly negative linear relationship, 0 indicating no relationship, and +1 indicating a perfectly positive linear relationship. In the case of the sales manager analyzing the sales of snow shovels compared to the outside temperature, the correlation coefficient of r can be used to measure the strength of the relationship between the two variables. If the coefficient is close to 1, it indicates that the two variables are strongly related, while a coefficient close to 0 indicates that there is no relation between them.

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a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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The radius is 5.316 cm, height is 10.362 cm and Maximum volume is  

60.583 cm³.

We have,

Surface area of sphere = 36 cm²

4πr² = 36

πr² = 9

r = 3√π

r= 5.316

Now, Volume spherical cap

= 1/3 πh² (3R- h)

= 1/3π (10.362) (3 (5.316) - 10.362)

= 1/3 π (57.882132)

= 60.583 cm³

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The required value of x is approximately \(x = 257.25\) cm.

The volume of cuboid A can be found by multiplying its length, width, and height:

\($V_A = 6\text{ cm} \times 2\text{ cm} \times 5\text{ cm} = 60\text{ cm}^3$\)

To find the volume of cuboid C, we can use the given information that the volume of A multiplied by 343/8 is equal to the volume of C:

\($V_C = V_A \times \frac{343}{8} = 60\text{ cm}^3 \times \frac{343}{8} =2572.5\)

Now, we can use the formula for the volume of a cuboid to find the length of C:

\($V_C = \text{length} \times \text{width} \times \text{height}$\)

\($2572.5}\text{ cm}^3 = x\text{ cm} \times 2\text{ cm} \times 5\text{ cm}$\)

\({2572.5}\text{ cm}^3 = 10x\text{ cm}^3$\)

\(x = 257.25\)

Therefore, the value of x is approximately \(x = 257.25\) cm.

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Hence, the critical value for the 81% confidence interval is 1.311 occurs while comparing equations (1) and (2).

The cut-off scores used during confidence intervals, hypothesis testing, and other statistical techniques are known as the crucial values. They are used to establish the boundaries of confidence intervals in the case of confidence intervals.

Level of confidence c = 0.81

The degree of assurance c =  81%.

Now, the overall confidence level is shown as (1−α) , where α is the significance level.

= 1.0 - 0.81

= 0.19

Thus, the 81% confidence level suggests a significance level of 0.19.

Critical value Z(α/2) is:

P(Z >   Z(α/2)) =  (α/2)

                       = 0.19/2

P(Z >   Z(α/2)) = 0.095  ...eq 1

Using the z-table online, check the p-value for the z 0.095.

P(Z > 1.311) = 0.095  ...eq 2

Hence, the critical value for the 81% confidence interval is 1.311 occurs while comparing equations (1) and (2).

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Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

Step-by-step explanation:

Quadratic function

with the roots:

As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:

And

g(x) = -x² -10x - 106

The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).

Given dimensions:

Length (L) = 9 cm

Width (W) = 7 cm

Height (H) = 4 cm

a) Area of the top face of the cuboid:

The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

b) Area of the bottom face of the cuboid:

The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

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Step-by-step explanation:

______

0.7857142

note the first 7 is not included in the bar

The standard deviation of the given data is approximately 3.08.

To find the standard deviation of the given data (5, 6, 8, 13), we first need to find the mean (X) of the data.

Mean (X) = (5 + 6 + 8 + 13) / 4 = 32 / 4 = 8

Next, we calculate the deviations from the mean for each data point:

Deviation from the mean = Data point - Mean

For 5: 5 - 8 = -3

For 6: 6 - 8 = -2

For 8: 8 - 8 = 0

For 13: 13 - 8 = 5

Then, we square each deviation:

(-3)^2 = 9

(-2)^2 = 4

0^2 = 0

5^2 = 25

Next, we calculate the sum of the squared deviations:

Sum of squared deviations = 9 + 4 + 0 + 25 = 38

To find the variance, we divide the sum of squared deviations by the number of data points:

Variance = Sum of squared deviations / Number of data points = 38 / 4 = 9.5

Finally, we take the square root of the variance to find the standard deviation:

Standard deviation = √Variance = √9.5 ≈ 3.08

Therefore, the standard deviation of the given data is approximately 3.08.

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The circumference is 12.56

Check the picture below.

Answer:

4 years if my math is correct

Step-by-step explanation: