Twenty children were surveyed about the number of hours they play outside in 1 week. The results are shown below.

6, 5, 4, 3, 0, 7, 1, 5, 4, 4, 3, 2, 2, 3, 2, 4, 3, 4, 0, 7

Complete and upload the frequency table below and create a histogram to display this data. Make sure there is only 4 intervals.

Answer:

9

Step-by-step explanation:

We can just count from -3 to -12 and get 9 as the distance

The factored expression of x^3 - 5x^2 + 3x - 15 is (x^2 + 3)(x- 5)

The polynomial is given as:

x^3 - 5x^2 + 3x - 15

Group the terms

(x^3 - 5x^2) + (3x - 15)

Factorize each group

x^2(x - 5) + 3(x - 5)

Factor out x - 5

(x^2 + 3)(x- 5)

Hence, the factored expression of x^3 - 5x^2 + 3x - 15 is (x^2 + 3)(x- 5)

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Answer:

Step-by-step explanation:

30 minutes

Step-by-step explanation:

that problem description is imprecise.

I think what is meant here : they each keep jogging at their own same speed.

Diane’s speed is 1/3 miles / 10 min.

Jack’s speed is 2/3 miles / 10 min.

now, to bring this to regular miles/hour format, we need to find the factor between 10 minutes and an hour (60 minutes) and multiply numerator and denominator (top and bottom of the ratio) by it.

60/10 = 6.

so, we need to multiply both speeds up there by 6/6 to get the miles/hour speeds.

Diane : (1/3 × 6) / hour = 2 miles / hour

Jack : (2/3 × 6) / hour = 4 miles / hour

since Jack is running twice as fast as Diane, she will finish one length in the same time he finishes a round trip (back and forth).

Diane running 1 mile going 2 miles/hour takes her 30 minutes.

Jack running 2 miles (back and forth) going 4 miles/hour will take him also 30 minutes.

so, they will meet at his starting point after 30 minutes.

Answer:

A squared plus B squared equal C squared

Step-by-step explanation:

There are 83210 subscribers after 5 days

The given parameters are:

The number of subscribers each day is calculated as:

f(n) = a * (1-r)^n

This gives

f(n) = 93000 * (1 - 2.2%)^n

Evaluate the difference

f(n) = 93000 * 0.978^n

At 5 days, we have:

f(5) = 93000 * 0.978^5

Evaluate

f(5) = 83210

Hence, there are 83210 subscribers after 5 days

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Answer:

Step-by-step explanation:

A more complicated expression such as 64x3+27y3 64 x 3 + 27 y 3 is also a sum of cubes since 64x3=(4x)3 64 x 3 = ( 4 x ) 3 and 27y3=(3y)3 27 y 3 = ( 3 y ) 3 . Please note, that expressions such as 2x3 2 x 3 are not perfect cubes.

Answer: [tex]3\sqrt{21}+7\sqrt{2}-6[/tex]

Step-by-step explanation:

[tex](\sqrt{14}-\sqrt{3})(\sqrt{12}+\sqrt{7})\\\\=(\sqrt{2}\sqrt{7}-\sqrt{3})(2\sqrt{3}+\sqrt{7})\\\\=4\sqrt{21}+7\sqrt{2}-6-\sqrt{21}\\\\=\boxed{3\sqrt{21}+7\sqrt{2}-6}[/tex]

The product on the equation is A = 2√42 - 6 + 7√2 - √21

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( √14 - √3 ) ( √12 + √7 )

On simplifying , we get

A = √14 ( √12 ) - √3 ( √12 ) + √14 ( √7 ) - √3 ( √7 )

A = √168 - √36 + √98 - √21

On further simplification , we get

A = 2√42 - 6 + 7√2 - √21

Therefore , the value of A is 2√42 - 6 + 7√2 - √21

Hence , the product is A = 2√42 - 6 + 7√2 - √21

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Answer:

Hence, 12,90,000 can be expressed as [tex]$1.29 \times 10^{6}$[/tex].

Step-by-step explanation:

- Given 12,90,000

- Use given, move the decimal point so that first factor is greater than or equal to 1 but less than 10 .

- Then count n and write in scientific notation.

Step 1 of 1

Consider 12,90,000

1.29

So, 1.29 lies between 1 & 10.

Now, Decimal moved to 6 places at left.

[tex]$1.29 \times 10^{6}$[/tex]

So, [tex]$12,90,000=1 \cdot 29 \times 10^{6}$[/tex].

how do u not know this

Step-by-step explanation:

my guy

Answer:

can you explain more i dont get what u mean if you mean 2,000 a year and you get 2.50% or 5.00% and you get it for 50 years your answer for each would be 50 and 100

Answer:

See attached image.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Fundamental Theorem of Algebra:

   This states that any polynomial with degree n will have n solutions which are real or complex.

Since this function you gave has 4 zeroes, this function has to have at at least a degree of 4. The reason I say at least, is because of something called multiplicity. When a zero has an even multiplicity it will have a turning point at the zero, if it has an odd multiplicity it will pass the x-axis. So assuming each zero only has a multiplicity of 1, then this will have at least a degree of 4. It also might have complex zeroes which still count as zeroes.

End Behavior of Polynomial Functions:

   So this is pretty easy to remember, but if the leading coefficient is positive, then the end behavior to the right will go up, if it's negative it will go down. Now the next thing to know is an odd degree means that the end behavior will go in opposite directions. So if the right goes up, then the left side will be going down and vice verse. if it's an even degree then the two opposite sides will go in the same direction.

In this case both ends are going down, in the same direction. This means that the leading coefficient is negative and the degree is even.

Using these two things, we can exclude answers

B can't be the answer, it only has 3 zeroes, this has at least 4.

C can't be the answer, it has an odd degree so the end behaviors would go in opposite directions

D can't be the answer, it has a positive leading coefficient so the right side would be going up

This means the only possible equation is A which has at least a degree of 4, negative leading coefficient, and even degree.

Answer:

8

Step-by-step explanation:

Since one-sixth was multiplyed be 1 1/3, we just have to find the opposite, six-ones. We multiply that by 1 1/3 and we get 8!

The three girls baked 88 cupcakes altogether.

Cupcakes Baked by Each

Number of cupcakes baked by Tina, T = 40

It is given that Daisy baked 4/5 as many cupcakes as Tina.

Therefore, number of cupcakes baked by Daisy, D = (4T/5) (Applying fractions)

⇒ D = (4/5)×40

⇒ D = 4 × 8

⇒ D = 32

Also, it is given that Miko baked 1/2 as many cupcakes as Daisy.

Thus, number of cupcakes baked by Miko, M = D/2 (Applying fractions)

⇒  M = 32/2

⇒ M = 16

Calculating Total Number of Cupcakes Baked

Cupcakes baked by the three girls altogether = T + D + M

= 40 + 32 + 16

= 88

Hence, the girls together baked 88 cupcakes.

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The equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have an equation:

y –12 = –3(x – 1)

We can write the above equation as follows:

y = 12 - 3(x - 1)

y = 12 - 3x + 3

y = -3x + 15

or

f(x) = -3x + 15

Plug x = 0

f(0) = 15

The tub started with 15 gallons of water.

Thus, the equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

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A box plot has 5 data descriptions. The interquartile range for the given data set is 13.5.

A box plot has 5 data descriptions.

The given following information can be written as,

Thus, the interquartile range for the given data is,

Interquartile range = 27.5 - 14 = 13.5

Hence, the interquartile range for the given data set is 13.5.

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The standard deviation of the sampled containers' contents is 0.36

Mean = summation of data / number

μ = 204.72 / 10

μ = 20.472

σ = √[[(x₁ - μ)² + (x₂ - μ)² + (x₃ - μ)² + (x₄ - μ)² + (x₅ - μ)² + (x₆ - μ)² + (x₇ - μ)² + (x₈ - μ)² + (x₉ - μ)² + (x₁₀ - μ)²] / n]

σ = √[[(20.72 - 20.472)² + (20.6 - 20.472)² + (20.71 - 20.472)² + (20.92 - 20.472)² + (19.79 - 20.472)² + (20.93 - 20.472)² + (20.09 - 20.472)² + (20.27 - 20.472)² + (20.49 - 20.472)² + (20.2 - 20.472)²] / 10]

σ = 0.36

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The domain is t=0 to t=3.2  and range is y = 0 to 57.125 feet.

What are Domain and range of a Function?

Given function is : y = -16t^2 + 50t + 4

It hits the ground when y=0

0 = -16t^2 + 50t + 4

8t^2 -25t -2 = 0

t = 25/16 + (1/16)sqrt(625+64) = (25+26.25)/16 = 51.25/16 = 3.2 seconds

domain is t=0 to t=3.2  [3.2]

take the derivative and set it equal to zero to find maximum height

-32t +50 = 0

t = 50/32 = 25/16 = 1.5625 seconds

-16(25/16) + 50(25/16) + 4 = 34(25/16) + 64/16 = (17(25)+32)/8 = 57.125 = maximum height

range is y = 0 to 57.125 feet.   the discus goes from 4 feet to 57 1/8 feet and back down to 0 feet.

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Triangle ABC is similar to triangle QPR due to the transformations reflection, the triangles are similar by side-angle-side similarity theorem.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

- Rotation means that it rotates or turns the pre-image around an axis with no change in size or shape

- Reflection means that it flips the pre-image and produces the mirror-image with no change in size or shape or orientation

- Translation means that it slides or moves the pre-image with no change in size or shape but has changes in only the direction of the shape

- Dilation means that it stretches or shrinks the pre-image.

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. It should be noted that, corresponding angles are congruent.

Thus, we conclude that triangle ABC and triangle QPR are similar triangle based on the side-angle-side similarity theorem.

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Answer: reflected and then translated onto   only involve rigid motions    

congruent

Step-by-step explanation:

Triangle  abc

is

reflected and then translated onto

triangle qpr

. Since the transformations

only involve rigid motions

, the triangles are

congruent

.

The total cash that's due at signing will be $5365.

It should be noted that security deposit on acquisition are paid at the begining.

The total cash that's due at signing:

= Down payment + Security deposit + Acquisition fee

= 4400 + 435 + 530

= $5365

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Answer:

2.6

Step-by-step explanation:

Answer:

( A - B).

A = { a, e, I, o, u}

B = { a, b, c, d }

{ e, I, o, u}

A - B = subtracting elements of B from A ( all the common elements)

The  value of h(6) = 5

A function is a mathematical statement used to relate two variables .

It is given that

4h(x) = h(4x)

It is also given that

h(24) = 20

now to determine the value of h(6)

4* h(6) = h(6 *4)

4* h(6) = h(24)

4 * h(6) = 20

h(6) = 5

Therefore the value of h(6) = 5.

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Answer:

67

Step-by-step explanation:

sorry if wrong

Answer:

2788.

Step-by-step explanation:

This is represented by an arithmetic series  with first term 16 and common difference 4.

The number of rows n = 34.

The capacity

= sum of 34 terms

= (34/2)[2*16 + 4(34-1)]

=  2788.

Answer:

2788

Step-by-step explanation:

16,20,24,.. This is a arithmetic progression with common difference of 4

Sn=? , d=4 , a =16 , n=34[tex]Sn=\frac{34}{2}[2(16)+(34-1)4] \\\\Sn=17[32+33(4)]\\\\Sn=17[164]\\\\Sn=2788[/tex]

The values of m and n are -29/3 and 40/3 respectively

A polynomial is a function that has a leading degree of 2 and greater. Given the polynomial

P(x) = 2x^3 + mx^2 + nx – 2

If  it is divided by x – 3, the remainder is 4 and divided by x – 2, the remainder is 2, hence;

4 = 2(3)^3 + 9m + 3n - 2

4 = 54 + 9m + 3n - 3

9m + 3n = -47

Similarly

2 = 2(2)^3 + 4m + 2n - 2

4m + 2n = -12

Solve simultaneously

9m + 3n = -47 * 2

4m + 2n = -12  * 3

______________
18m + 6n = -94

12m + 6n = -36

Subtract

6m = -58

m = -58/6 = -29/3

For the value of n

4m + 2n = -12

2m + n = -6

2(-29/3) + n = -6

n = -6 + 58/3

n = 40/3

Hence the values of m and n are -29/3 and 40/3 respectively

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Answer:

If y = 60 then x = 25

Step-by-step explanation:

You know that when y = 12 then x = 5

So when y = 60, x = 25

The reason for this is because 12 * 5 = 60.

Which means that since the y = 12 was multiplied by 5, the x = 5 should be multiplied by 5 too.

Since 5 * 5 = 25, then we know that if y = 60, then x will equal 25.

Hope this helped! :D

Answer:

a = 45.14

Step-by-step explanation:

First we need to determine whether this is a non-right triangle or a right triangle.

Since we have two angles already, we can determine whether the third angle is a right or non-right angle:

The sum of all the angles in a triangle will always add up to 180, so we have

180 - (62 + 28) = 180 - 90 = 90

Since we have a right triangle and only one side, we can use trigonometry to find the measure of a.

If we use ∠A as the reference angle, side a is our opposite angle and side c is our adjacent angle.  

This means we must use tangent as [tex]tan=\frac{opposite}{adjacent}[/tex]:

[tex]tan (62)=\frac{a}{24}\\ 24*tan(62)=a\\45.137=45.14 = a[/tex]

Answer:

answer is -3 ....is this correct