What is the range for this set of data?
7, 15, 12
3
5
8
1

Answer: 5/52 or 10.4 I think

Step-by-step explanation: 5/52 = 10.4

The volume of the figure shown in the image which consist of two rectangular prisms is equal to 3300 cubed feet.

To find the volume of the composite figures,

The given figure consist of two figures. Both are rectangular prism in which one has 24 ft length (20+4), width of 5 ft and height of 25 ft.

The area of a rectangular prism is the product of length, width and height of it. Thus, the volume of the upper prism is,

V₁=24×5×25

V₁=3000 ft³

Lower prism has 4 ft length, width of 3 ft (8-5) and height of 25 ft. Thus, the volume of this prism is,

V₂=4×3×25

V₂=300 ft³

Thus, the volume of the figure shown in image is,

V=3000+300

V=3300 ft³

Hence, the volume of the figure shown in the image which consist of two rectangular prisms is equal to the 3300 cubed feet.

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The probability of rolling a sum of 5 is 1/9 or 11.12% if the Luna rolls two number cubes labeled 1-6.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Luna rolls two number cubes labeled 1-6.

Total number of outcomes = 6×6 = 36

Total number of favorable outcomes = 4

Which is (1, 4), (2,3) (3,2), (4,1)

The probability will be:

= 4/36

= 1/9  or in percentage:

= 11.12%

Thus, the probability of rolling a sum of 5 is 1/9 or 11.12% if the Luna rolls two number cubes labeled 1-6.

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a) From the Pythagorean theorem, we have

AC² = AB² + BC² = a² + a²   ⇒   AC = √2 a

and

AK² = AB² + BK² = a² + (2a)²   ⇒   AK = √5 a

ABCD and BKLC are perpendicular, so AC and CL are perpendicular and ∆ACL is a right triangle. By the Pythagorean theorem, we have

AL² = AC² + CL² = (√2 a)² + (2a)²   ⇒   AL = √6 a

Now,

AK² + LK² = (√5 a)² + a² = 6a² = (√6 a)² = AL²

which means ∆AKL satisfies the Pythagorean theorem and is a right triangle, so ∠AKL = 90°.

b) We know AC = √2 a and AK = √5 a. By the Pythagorean theorem, we find

CK² = BC² + BK² = a² + (2a)²   ⇒   CK = √5 a

By the law of cosines, we have

AK² = AC² + CK² - 2 AC CK cos(∠AKC)

6a² = 2a² + 5a² - 2√10 a² cos(∠AKC)

cos(∠AKC) = 1/(2√10)

∠AKC = arccos(1/(2√10)) ≈ 80.9°

Answer:

84 products

Step-by-step explanation:

Answer:

y=2x+24

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2 and passes through (-7, 10)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope, we can immediately substitute it in for m

So replace m with 2 in y=mx+b

y=2x + b

Now we need to find b

As the equation passes through the point (-7, 10), we can use its values to help us find the value of b

Substitute -7 as x and 10 as y

10 = 2(-7) + b

Multiply

10 = -14 + b

Add 14 to both sides

24 = b

Substitute 24 as b into the equation

y = 2x + 24

Hope this helps!

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Answer:

x≥3 but without the line under the symbol

Step-by-step explanation:

Answer:

You are right in that this function is not an odd function. For it to be odd it has to be symmetrical about the origin or equivalently -f(x) = f(-x) which is not the case here.

I can see an option button next to the graph so I assume that this is only one of the answer choices.

Can you provide the source of this question?

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:Quadratics

[tex] \huge \tt \color{cyan}{➢}\color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\color{cyan}{➢}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]

[tex]\rule{70mm}{2.9pt}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\: Let's\: solve }}}[/tex]

[tex] \purple{ \sf{⇒Given \:function}}[/tex]

⇒ y = -2(x-5)²-4

⇒y = -2(x²-10x+25)-4

⇒ y= -2x²+20x-50-4

⇒ y= -2x²+20x-54

Hence option A (-2x²+20x-54) is right ans.....

[tex]\rule{70mm}{2.9pt}[/tex]

[tex] \red{ \underline{\underline{ \boxed{ \tt{✰ \: Option \: A \: ✓}}}}}[/tex]

Hope it helps !

The value of the given expression will be equal to 441.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution will be given as:-

[tex]\dfrac{9!}{6!}=\dfrac{9\times 8\times 7\times 6!}{6!}[/tex]

[tex]\dfrac{9!}{6!}=9\times 8\timex\times 7=441[/tex]

Therefore the value of the given expression will be equal to 441.

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Answer:

below

Step-by-step explanation:

2/3=240

3/4=270

2/6=120

5/8=225

The triangle in the image seems to be an isosceles triangle which means that two of the angles would be the same.

x would be 54° as well

to find the third angle, subtract all the angles from 180

[tex]180-54-54=72[/tex]

y would be 72°

Answer:

1

c

2

h

Step-by-step explanation:

1

For the first question, the mean is calculated by adding all the items together and dividing it by the amount of them.

In this case, we add 32000 to 4600 to create 36600, this is the cost for 6 cars. To find the mean, we divide by 6. 36600 divided by 6 is 6100

2

We are looking for the original fee of 50 on its own, alongside 10 lots of 25.

The only version that correctly represents this is 50 + 25(10)

isolate for y:

[tex]16=4y\\\\\frac{16}{4}=\frac{4y}{4} \\\\4=y[/tex]

The value of y is 4.

Answer:

1464 square kilometers

Step-by-step explanation:

Understanding :

Year 6 :

Answer:

See below ~

Step-by-step explanation:

Details of Graph

The conclusion is that 15% of all students on the baseball team at Ridgemont High like the broccoli option second would be the correct choice.

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

We have the statement:

Wholesome Food Company asked all students on the baseball team at Ridgemont High School the question, “Do you like broccoli?” and 15% answered “Yes.”

The given conclusions:

There is no particular information given about who likes to eat broccoli, but based on the conclusion and statement, we can say:

15% of all students on the baseball team at Ridgemont High like broccoli.

Thus, the conclusion is that 15% of all students on the baseball team at Ridgemont High like the broccoli option second would be the correct choice.

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Answer:

So our goal is to determine the cost per can which we can find by dividing the amount of cans from the cost of the cans.  That would give us the price per can.

[tex]\frac{price}{cans}[/tex]

[tex]\frac{\$6.30}{12\ cans}[/tex]

[tex]\$0.525\ per\ can[/tex]

Hope this helps!  Please let me know if you have any questions

Step-by-step explanation:

coco with a smooth kind of drank that's definitely defeats the purse with a polish sausage you get from home depot

Supposing a spinner with 8 regions, 3 of which are B, there is a 0.375 = 37.5% probability of spinning a b.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we suppose a spinner with 8 outcomes, 3 of which are b, hence the probability is given by:

p = 3/8 = 0.375 = 37.5%.

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Answer:

B.

Step-by-step explanation:

Answer:

45 minutes

Step-by-step explanation:

distance / rate = time

27 miles / 36 miles/hr = .75  hr    ( 45 minutes )  

Answer: A scale in charts can be characterized as the system of marks at settled intervals, which characterize the connection between the units being utilized and their representation on the graph.

Step-by-step explanation:

[tex] \huge \sf \color{pink}{A} \color{green}{N} \color{red}{S} \color{blue}{W} \color{orange}{E} \color{grey}{R}[/tex]

[tex]\large \underline{ \boxed{ \sf{✰ \: Important \: points }}}[/tex]

[tex] \pink{➢}[/tex] Diameter of cone = 18m

[tex] \pink{➢}[/tex]Height of cone = 20m

[tex] \pink{➢}[/tex]A surface of revolution formed by rotating a segment of a line around another line that intersects the first line.

[tex] \pink{➢}[/tex]Cone is basically formed by circular base

[tex]\underline{ \boxed{ \sf{➫\: Volume\:of\:cone = \frac{1}{3} {r}^{2} \pi \: h}}}[/tex]

[tex]\underline{ \boxed{ \sf{ ➪ \: r = radius}}} \\\underline{ \boxed{ \sf{ ➪ \: h = height}}}[/tex]

[tex] \pink{➢}[/tex] We know that radius is half of diameter

[tex] \sf \:➩ r = \frac{18}{2} \\ \sf \: ➩r = \cancel \frac{18}{2} \\ \sf \: ➩r = 9 \: \: \: [/tex]

[tex] \pink{➢}[/tex]Hence radius of cone in data given is 9m

➢ Let's substitute values according to formula

[tex]\sf \: → \frac{1}{3} \times {(9)}^{2}\times 3.14 \times20 \\ \sf→ \frac{1}{3} \times 81 \times 3.14 \times 20 \\ \sf \: → \frac{1}{ \cancel3} \times \cancel{81} \times 3.14 \times 20 \\ \sf→27 \times 3.14 \times 20 \\ \sf \: →1695.6m[/tex]

[tex] \pink{➢}[/tex] Hence volume of cone =1695.6m

Hope it helps !

Answer:

Step-by-step ef(x)=-2x+5……i

and f(-3x)=?

let x=-3x so that

-2x+5=-3x

x=5

substitutinx x into… i

f(x)=-10+5=-5

f(5)=-5………ii

now f(–3x)=f(-15)

scrutinizing… ii ,we can propose that

f(-15)=15.

Thus f(-3x)=15xplanation:

f times x would equal to fx=2x+5 and i think we move the x move to the other side which makes it f=3x+5 and then we plug this equal into f(3x) (i think)  which makes it f(3x+f=3x+5)

Answer:

400

83 000 000

600,000

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

483,600,000 miles

Answer:

1

Step-by-step explanation:

3x10=30

divided by 6

=3

+2=5

-4=1

Answer:

3

Step-by-step explanation:

3x10=30

30/6=5

5+2=7

7-4=3

The true statements that can be used to compare the characteristics of the functions are: option B, C, and D.

A function can be defined as a mathematical expression that defines and represents the relationship that exists between two or more variable of a data set.

From the table of values for this discrete function (see attachment), we can deduce the following characteristics and points:

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Answer:

y = 4x + 3

Step-by-step explanation:

We are given the line shown in your question.

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept

As we are given the graph of the line, we can pick any 2 points to help us find the equation; in this case, let's take (0,3) and (-1, -1).

First, we need to find the slope of the line

The slope (m) can be found using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Let's label the values of the points to avoid confusion and mistakes before calculating.

[tex]x_1= 0\\y_1=3\\x_2=-1\\y_2=-1[/tex]

Now substitute these values into the equation for the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-1-3}{-1-0}[/tex]

Subtract

m=[tex]\frac{-4}{-1}[/tex]

Divide

m = 4

The slope of the line is 4

Here is the equation of the line so far:

y = 4x + b

Now we need to find b

As stated above, b is the value of y at the y intercept; the y intercept is the point where the line intersects with the y axis. The value of x at this point is 0

One of the points we used to calculate the slope was actually the y intercept point; this point is (0, 3). The value of y at this point is 3, so the value of b is 3

Substitute 3 as b in our equation

y = 4x + 3

Topic: finding the equation of the line