write the pair of fractions as a pair of fractions with a common denominator
3/10 and 1/12

Answer:

1/6

Step-by-step explanation:

there are 6 numbers on a die, and only one of them is 3.

so you would get 1/6 (because only one number out of 6 is 3)

Answer:

99,7 %

Step-by-step explanation:

P [  45,4  <  X  <  64,6 ]   ???

P [  45,4  <  X  <  64,6 ]  

for  X = 45,4

z₁  =  ( X - μ₀  ) / σ

z₁  =  45,4  -  55 / 3,2

z₁  =  - 9,6 / 3,2

z₁  =  - 3

And fom z-table we find     P [ X = 45,4 ]  =  0,0013   or  0,13 %

z₂  = ( 64,6  -  55 )/ 3,2

z₂  =  3

And from  z-table we find     P [ X = 64,6 ]  =  0,9987  or  99,87 %

Then

P [  45,4  <  X  <  64,6 ]  =  99,87  - 0,13  =  0,9974    or  99,74 %

Now if we look at the values:

μ₀   -  3*σ       and     μ₀   +  3*σ  

we find    55  -  3*3,2   =  55 - 9,6  = 45,4  and   55 + 9,6  = 64,6

We know according to the empirical rule that  values from μ₀   ±  3*σ  will contains 99,7 % of all values

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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Answer:

36720 different desserts

Step-by-step explanation:

(1020x3)x12=36720

Function y=-x²+6x

First you need to start finding the values for y.

When x=0 you will have

And you have to do the same with the different values as follows:

As you can see in the graph, the function has a maximum in (3,9)

And the vertex is in the same point

Answer:

smallest: 40 kg, medium: 60 kg, largest quantity: 80 kg

Step-by-step explanation:

divide into 2 : 3 : 4

find the total quantities: 2 + 3 + 4 = 9 quantities.

9 quantities → 180 kg

1 quantities → \(\frac{180}{9}\) kg

1 quantities → 20 kg

Finding what the question asked for:

2 quantities → 20*2 → 40 kg

3 quantities → 20*3 → 60 kg

4 quantities → 20*4 → 80 kg

Answer:

Smallest quantity is 40 kg

Largest quantity is 80 kg

(in case you need it the middle quantity is 60 kg)

Step-by-step explanation:

In the ratio there are 9 total parts (2+3+4). If you divide the 180 kg by 9 you will get 20kg. You can now multiply the 20kg by each ratio (20×2, 20×3, and 20×4) to divide the sugar into the ratio.

20×2= 40 kg

20×3= 60 kg

20×4= 80 kg

Answer:

Yellow side=6 units

Green side=6 units

Step-by-step explanation:

Answer:

\(\left \{ {{y=-2} \atop {x=3}} \right.\)

Step-by-step explanation:

\(\left \{ {{-6x - y = -16} \atop {-6x - 5y = -8}} \right. <=> \left \{ {{4y= -8} \atop {-6x-5y =-8}} \right. <=> \left \{ {{y=-2} \atop {-6x-5y=-8}} \right. <=> \left \{ {{y=-2} \atop {-6x-5*(-2)=-8}} \right. <=> \left \{ {{y=-2} \atop {-6x=-18}} \right. <=> \left \{ {{y=-2} \atop {x=3}} \right.\)

Answer:

That is incorrect because ten you are multiplying the two sets then the exponents just add but but when you put the brackets around it then the exponents are being multiplied not added

Step-by-step explanation:

(xy)^3 * (xy)^4

x^3y^3*x^4y^4

x^7y^7

The rest of the explanation is in the picture

Answer:

this? hope it helps ........

Answer:

The answer is area=32pi-64 and the perimeter is 8pi

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

The first is a beaker, it's used to measure liquid volume

The second is a ruler, it's used to measure length.

Last is a thermometer, it's used to measure temperature.

Answer:

  (c)  -42

Step-by-step explanation:

You want the product ab given that ...

The function (f+g)(x) is the sum of the other two functions. For the purpose here, we only need to look at terms that involve 'a' and 'b'.

Comparing coefficients of x², we have ...

  ax² +3x² = 9x²

  a = 9 -3 = 6

Comparing coefficients of x, we have ...

  -5x +bx = -12x

  b = -12 +5 = -7

The product is ...

  ab = (6)(-7) = -42

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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The descriptions that represent a categorical data set are: Color of chewing gum brands sold at Store A, Best selling chewing gum flavors, Names of stores that carry Brand X of chewing gum.

We know that,

A data set is a collection of data, usually presented in tabular form, that can be analyzed to draw conclusions or make decisions. It can be numerical or categorical and can come from various sources such as surveys, experiments, or observations.

A data set typically contains individual data points or observations, each representing a unit or subject being studied. The size of a data set can range from small (e.g., a few observations) to large (e.g., millions of observations).

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Answer:

?= 105

Step-by-step explanation:

I saw the straight angle the two triangles formed, so I immediately knew that that is 180 degrees. I took 180-75 to get 105

Based on the net present value profile, Project H has a higher NPV than Project E.

To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:

Project E:

Initial investment: -$100,000

Cash flows for Year 1: $40,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $60,000

Project H:

Initial investment: -$120,000

Cash flows for Year 1: $60,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $40,000

To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.

Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:

For Project E:

PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3

PV = $36,363.64 + $41,322.31 + $45,454.55

PV = $123,140.50

For Project H:

PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3

PV = $54,545.45 + $41,322.31 + $30,251.14

PV = $126,118.90

Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.

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Answer:

68 × y

Step-by-step explanation:

68y = 68 × y

A linear equation that models cost(c) as a function of distance(d) is: c = 0.6d + 1.2.

Let's assume that the cost of a 3-mile cab ride costs $3.00 and the cost of a 6-mile cab ride costs $4.80. To find a linear equation that models cost (c) as a function of distance (d), we can use the following steps:

($4.80 - $3.00) / (6 miles - 3 miles)

= $1.80 / 3 miles

= $0.60/mile

$3.00 - $0.60/mile × 3 miles

= $1.20.

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The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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Answer:

90  berries

Step-by-step explanation:

The box plot which correctly shows displays the given data is the box plot where the whisker ranges from 1 to 6 and the box ranges from 2.5 to 4 with a line at 3.

Given a data set,

0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6

Box shows the interquartile range.

Starting line of the box is first quartile, middle line is the median and the ending line is the third quartile.

There are 13 data points.

Here median = middle point = 7th point = 3

So the middle line of the box is at 3.

Median divides data plot in to two : 0, 1, 2, 3, 3, 3 and 3, 3, 3, 5, 5, 6.

First quartile is the median of the data points 0, 1, 2, 3, 3, 3.

First quartile, Q1 = average of middle two elements = (2 + 3) / 2 = 2.5

Third quartile is the median of the data points 3, 3, 3, 5, 5, 6.

Third quartile, Q3 = (3 + 5) / 2 = 4

IQR = Q3 - Q1 = 1.5

So the box ranges from 2.5 to 4 with a line at 3.

Now, we have to find the extension of whiskers, that is minimum and maximum value.

Lower whisker = Q1 - 1.5 (IQR) = 0.25

No values less than 0.25 is on the line.

Upper whisker = Q3 + 1.5 (IQR) = 6.25

No values greater than 6.25 will be on the line.

From the data, 0 belong as an outlier outside the whisker.

So whisker ranges from 1 to 6.

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Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

Answer:

Image A could be a Cylinder

Image B is a Tetrahedron

Step-by-step explanation:

Hope this helps : )

Answer:

67 mph

Step-by-step explanation:

201/3 = 67