Identify the lower class​ limits, upper class​ limits, class​ width, class​ midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary.
Age (yr) when award was won: 25-34, 35-44, 45-54, 55-64, 65-74, 75-84, 85-94
Frequency: 29, 34, 16, 3, 5, 1, 2

Answer:

-8=x

Step-by-step explanation:

6x-6=9x+18

-6-18=9x-6x

-24=3x

x=-8

hope i helped

brainliest pls

im trying to level up

Answer:

x=-8

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{12}}}}}[/tex]

Step-by-step explanation:

hypotenuse ( h ) = x

Peendicular ( p ) = 10

base ( b ) = 22

Using the Pythagoras theorem

[tex] \boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{2} = {10 }^{2} + {22}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{2} = 100 + 44}}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{2} = 144}}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {x}^{2} } = \sqrt{144}}} [/tex]

[tex] \dashrightarrow{ \sf{x = 12}}[/tex]

Hope I helped!

Best regards! :D

Answer:

d≤7

Step-by-step explanation:

-10d≥-70

d≤7

Answer:

1.5

Step-by-step explanation:

average rate of change = (f(x2) - f(x1))/(x2 - x1)

f(x) = -2/x^2

f(x2) = f(2) = -2/(-2)^2 = -2/4 = -0.5

f(x1) = f(1) = -2/1^2 = -2

average rate of change = (-0.5 - (-2))/(2 - 1)

average rate of change = (-0.5 + 2)/1

average rate of change = 1.5

Answer:

The new extra processor would take 20 hours to download the movie.

Step-by-step explanation:

This word problem presents two variables: [tex]n[/tex] - Processing capacity, dimensionless; [tex]t[/tex] - Download time, measured in hours. Both variables exhibit a relationship of inverse proportionality, that is:

[tex]t \propto \frac{1}{n}[/tex]

[tex]t = \frac{k}{n}[/tex]

Where [tex]k[/tex] is the proportionality constant.

Now, let suppose that original processor has a capacity of 1 ([tex]n = 1[/tex]), the proportionality constant is: ([tex]t = 5\,h[/tex])

[tex]k = n\cdot t[/tex]

[tex]k = (1)\cdot (5\,h)[/tex]

[tex]k = 5\,h[/tex]

The equation is [tex]t = \frac{5}{n}[/tex] and if time is reduced to 4 hours by adding an extra processor, the processing capacity associated with this operation is: ([tex]t = 4\,h[/tex])

[tex]n = \frac{5}{t}[/tex]

[tex]n = \frac{5\,h}{4\,h}[/tex]

[tex]n = 1.25[/tex]

Then, the extra processor has a capacity of 0.25. The time required for the new extra processor to download the movie is: ([tex]n = 0.25[/tex])

[tex]t = \frac{5\,h}{0.25}[/tex]

[tex]t = 20\,h[/tex]

The new extra processor would take 20 hours to download the movie.

Answer:

The width of the model will be  2.5 inches

Step-by-step explanation:

The tower was scaled down by a factor to a smaller size in the model. We are to, first of all, determine this factor and then use it to scale down the width of the model.

Step One: Determine the scale factor from the tower height.

The scale factor is obtained from the formula:

Scale factor = model size / observed size

This will be

Height of model tower/ height of the real tower.

The height of the model tower is 5 inches which is the same as 0.416667 ft

Scale factor = 0.416667 ft/ 40ft = 0.0104

Step two:  Multiply the width of the real-life tower by the scale factor to get the model width.

Width of model =20ft X 0.0104 = 0.208ft

Step three:  Convert your answer back to inches.

We will now have to convert 0.208 ft back to inches by multiplying by 12

This will be 0.208 X 12 =2.5 inches.

The width of the model will be  2.5 inches

Answer:

see below

Step-by-step explanation:

20x^3+8x^2-30x-12

Factor out the greatest common factor 2

2 (10x^3+4x^2-15x-6)

Then factor by grouping

2 ( 10x^3+4x^2      -15x-6)

Factor out 2 x^2 from the first group and -3 from the second group

2  ( 2x^2( 5x+2)  -3( 5x+2))

Factor out ( 5x+2)

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

The 2 can go in either term to get binomials

( 10x +4) (2x^2-3)

or ( 5x+2) ( 4x^2 -6)

Answer:

[tex](10x+4)(2x^2 -3)[/tex]

Step-by-step explanation:

[tex]20x^3+8x^2-30x-12[/tex]

Rewrite expression (grouping them).

[tex]20x^3-30x+8x^2-12[/tex]

Factor the two groups.

[tex]10x(2x^2 -3)+4(2x^2 -3)[/tex]

Take the common factor from both groups.

[tex](10x+4)(2x^2 -3)[/tex]

Answer:

3:1

Step-by-step explanation:

75%=[tex]\frac{75}{100}[/tex]=[tex]\frac{3}{4}[/tex]

25%=[tex]\frac{25}{100}[/tex]=[tex]\frac{1}{4}[/tex]

Answer:

Step-by-step explanation:

We are given the polynomial [tex]x^3+2^2-2x+3[/tex] and we are dividing by (x+3). So by performing one step of synthetic division we get

1 2 -2 3|-3

 -3 3 -3

1 -1 1   0

So the quotient in polynomial form is [tex]x^2-x+1[/tex]

Answer:

61 and -87

Step-by-step explanation:

If the numbers are x and x - 148, we can write the following equation:

x + x - 148 = -26

2x - 148 = -26

2x = 122

x = 61 so x - 148 = 61 - 148 = -87

Answer:

80 trees have a diameter smaller than 120cm

Step-by-step explanation:

Step 1

To solve this question, we would make use of the Z score formula.

z = x - μ/σ

Where

z = z score

x = Raw score = 120cm

μ = Population mean = 150cm

σ = Population standard deviation = 30cm

Hence,

z =120 - 150/30

z = -1

The z score = -1

Step 2

We find the Probability of the calculated z score using the z score table.

P(z) = P(z = -1) = P(x<120) = 0.15866

Approximately to the nearest hundredth = 0.16

Converting to percentage = 0.16 × 100 = 16%

The percentage of trees with a diameter smaller than 120cm = 16%

Therefore, the number of trees with a diameter smaller than 120cm

= 16% × 500 trees = 80trees

Answer:

Infinitely many solutions

Step-by-step explanation:

Any value of x will make this inequality true, hence there are infinitely many solutions.  Another way to say this is True for all x on the interval [-infinite,+infinite]

The reason this is true, is because all values of an absolute value will be greater than or equal to 0.

Cheers.

That's weird !

X is ANY NUMBER !

-∞  ≤  X  ≤  ∞

Answer:

117.984ft^2

Step-by-step explanation:

To find the area of a circle the formula is PiR^2 so the area for the full 360 degree circle is. 530.929 ft^2.

Now that we know this we can use a ratio.

530.929/360=x/80

u divide out the left side and multiply it by 80.

so that shows that the area of this circle is

117.984ft^2

Answer:

The position of the particle is described by [tex]s(t) = \frac{1}{3}\cdot t^{3} + \frac{5}{2}\cdot t^{2} - 5\cdot t + 6,\forall t \geq 0[/tex]

Step-by-step explanation:

The position function is obtained after integrating twice on acceleration function, which is:

[tex]a(t) = 2\cdot t + 5[/tex], [tex]\forall t \geq 0[/tex]

Velocity

[tex]v(t) = \int\limits^{t}_{0} {a(t)} \, dt[/tex]

[tex]v(t) = \int\limits^{t}_{0} {(2\cdot t + 5)} \, dt[/tex]

[tex]v(t) = 2\int\limits^{t}_{0} {t} \, dt + 5\int\limits^{t}_{0}\, dt[/tex]

[tex]v(t) = t^{2}+5\cdot t + v(0)[/tex]

Where [tex]v(0)[/tex] is the initial velocity.

If [tex]v(0) = -5[/tex], the particular solution of the velocity function is:

[tex]v(t) = t^{2} + 5\cdot t -5, \forall t \geq 0[/tex]

Position

[tex]s(t) = \int\limits^{t}_{0} {v(t)} \, dt[/tex]

[tex]s(t) = \int\limits^{t}_{0} {(t^{2}+5\cdot t -5)} \, dt[/tex]

[tex]s(t) = \int\limits^{t}_0 {t^{2}} \, dt + 5\int\limits^{t}_0 {t} \, dt - 5\int\limits^{t}_0\, dt[/tex]

[tex]s(t) = \frac{1}{3}\cdot t^{3} + \frac{5}{2}\cdot t^{2} - 5\cdot t + s(0)[/tex]

Where [tex]s(0)[/tex] is the initial position.

If [tex]s(0) = 6[/tex], the particular solution of the position function is:

[tex]s(t) = \frac{1}{3}\cdot t^{3} + \frac{5}{2}\cdot t^{2} - 5\cdot t + 6,\forall t \geq 0[/tex]

Answer:

Position of the particle is :

[tex]S(t)=\frac{1}{3}.t^3+\frac{5}{2}.t^2-5.t+6[/tex]

Step-by-step explanation:

Given information:

The particle is moving with an acceleration that is function of:

[tex]a(t)=2t+5[/tex]

To find the expression for the position of the particle first integrate for the velocity expression:

AS:

[tex]V(t)=\int\limits^0_t {a(t)} \, dt\\v(t)= \int\limits^0_t {(2.t+5)} \, dt\\\\v(t)=t^2+5.t+v(0)\\[/tex]

Where, [tex]v(0)[/tex] is the initial velocity.

Noe, if we tale the [tex]v(0) =-5[/tex] ,

So, the velocity equation can be written as:

[tex]v(t)=t^2+5.t-5[/tex]

Now , For the position of the particle we need to integrate the velocity equation :

As,

Position:

[tex]S(t)=\int\limits^0_t {v(t)} \, dt \\S(t)=\int\limits^0_t {(t^2+5.t-5)} \, dt\\S(t)=\frac{1}{3}.t^3+\frac{5}{2}.t^2-5.t+s(0)[/tex]

Where, [tex]S(0)[/tex] is the initial position of the particle.

So, we put the value [tex]s(0)=6[/tex] and get the position of the particle.

Hence, Position of the particle is :

[tex]S(t)=\frac{1}{3}.t^3+\frac{5}{2}.t^2-5.t+6[/tex].

For more information visit:

https://brainly.com/question/22008756?referrer=searchResults

Answer:

4 inches.

Step-by-step explanation:

The formula for the volume of a pyramid is v=1/3bh.

V is the volume of the shape

1/3 is just a rational number or fraction.

b is the area of the base shape of the 3d shape

h is the height of the shape (slant height).

The general formula for the volume of all shapes is V=Bh

V is the volume

B is the area of the base

h is the height of the prism.

In this case, we have a pyramid, so let's use the formula V=1/3Bh.

We know what the volume so 48=?

We can put 1/3 so 48=1/2 times ? times ?.

The base shape of this pyramid is a square, and it has an edge of 6 inches. We need to find the area of that square because it is the area of our base. the formula for finding the area of a square is A=S squared.

A is the area of the shape

S is the side length.

The reason why it is squared is because all sides of a square are equal to each other. Since the base edge is 6 inches, the other edges are 6 inches as well. There are 4 edges in a square.

A= 6 times 6.

A=36.

We have the area of the base, so we can put 48=1/3 times 36 times ?.

We are finding what the slant height is, so let's put the letter "h" to represent the slant height.

Now, 48=1/3 times 36 times h.

All we have to do is solve for h.

First we have to simplify one side of the equation.

To simplify, we have to do 1/3 times 36, or you can do 36 divided by 3. It is your choice. 36 divided by 3 is 12.

Now we have 12h=48.

Isolate h by dividing both sides by 12. 12h divided 12 is h. 48 divided by 12 is   4.

Therefore h=4 inches. The reason we divide both sides is because we have to do the inverse operation of the original equation. For instance 12h=48. To get to 48, you do 12 times h. We take the inverse (opposite) operation of multiplication (division). That will isolate for h.

The slant height of this square pyramid is 4 inches.

Hope this helps. Have a good rest of your day!

The slant height of the pyramid is 4 inches. Therefore, the option B is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, volume of square right pyramid = 48 cubic inches and base edge measuring 6 inches.

We know that, the volume of square based pyramid =a²h/3.

Here, a=6 inches and h=slant height

Now, 48= (6²×h)/3

48=36h/3

48=12h

h=4 inches

Therefore, the option B is the correct answer.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ7

Answer:

Hey there!

The perimeter can be expressed as 140+140+68[tex]\pi[/tex]

This is equal to 493.52 m

Hope this helps :)

Answer:

C.  y = 1

Step-by-step explanation:

For two line to be parallel, they have to have the same slope.  The slope for the equation y = 4 is 0.  This cancels out answer choices A, B, and D.  

A and B have an undefined slope since they are vertical lines.

D has a slope of 4.

Also, the line has to go through the point (-3, 1).  Since the line has a slope of 0, the equation will include the y-value.  The y-value for this point is 1.  This gives you an answer of y = 1.

Answer:

y = 1

Step-by-step explanation:

Just took the practice test and got it right

Answer:

x = 18; y = 35

Step-by-step explanation:

This gives us the equation:

1. x+y=53

2. 3x=y+19

3. 3x-y=19

Add the first and last line together: x+y+3x-y=53+19

Simplifies to: 4x=72

Divide by 4 to get: x = 18

Plug your numbers into the first equation to get 18+y=53; y = 35.

Answer:

The numbers are 18 and 35.

Step-by-step explanation:

The smaller number is x.

Let the other number by y.

Three times the smaller number is equal to 19 more than the larger number.

3x = y + 19

The larger number is

y = 3x - 19

the numbers add up to 53

x + y = 53

x + 3x - 19 = 53

4x = 72

x = 18

y = 3x - 19 = 3(18) - 19 = 54 - 19 = 35

The numbers are 18 and 35.

Answer:

f(x) = -(x + 1)² - 2

Step-by-step explanation:

f(x) = a(x - h)² + k

-6 = a(1 - -1)² + -2

-6 = a(4) -2

-4 = 4a

a = -1

f(x) = -(x + 1)² - 2

Answer:

[tex]f(x) = x + 4[/tex]

Step-by-step explanation:

[tex]y - 8 = x - 4[/tex]

Add 8 to both sides to isolate the y

[tex]y = x - 4 + 8[/tex]

then you're left with y = x + 4

Answer:

Option A

Step-by-step explanation:

With the following data, H0:p=0.35 ; Ha:p>0.35 The p-value for this hypothesis test is 0.03. The level of significance is α=0.05.

Since the p value (0.03) is less than alpha (0.05), we will reject the null hypothesis and conclude that there is sufficient evidence to conclude that the proportion of snoring events compared to other events during a sleep study is more than 35%.

Answer:

Decay rate K = -2.44%

Step-by-step explanation:

From the question, we want to know the decay rate of strontium 90

Mathematically, this is accessible from its decay equation

From the decay equation, we can see that that ;

At = Ao e^-0.0244t

Generally, the decay equation of a radioactive sample can be written as

At = Ao e^-kt

where K represents the decay constant

From the equation, we can see that;

k = 0.0244 which when represented as a percentage is 2.44%

Since it’s a decay we can say that the decay rate is -2.44%

The answer is : -2.44%

Answer:

Total hectares needed = 13.3 billion hectares of ecological footprint.

Step-by-step explanation:

Country X's per capita ecological footprint = 3.2 hectares

Country Y's per capita ecological footprint = 0.6 hectares

Earth's population = 7 billion

Average footprint between the two nations = 1.9 (3.2 + 0.6) hectares

If everybody in the world (i.e. the earth's population) has an ecological footprint the size of the average footprint between these two countries, i.e. = 1.9 per capita of earth's population,

Therefore, the total hectares of ecological footprint needed will be equal to 7 billion x 1.9

= 13.3 billion hectares of ecological footprint.

The correct answer is D. 23

Explanation:

Histograms similar to other graphs represent numerical information, usually by using bars, as well as ranges. For example, in the case presented the information presented belongs to the scores obtained in a test, which are shown using ranges. Moreover, it is possible to know the total of people that took the test by adding each of the frequencies, as the frequency in the y-axis shows the number of times the range repeated and it is expected each grade registered belongs to 1 person. This means the total of people is equal to 2 (score from 60-69) + 9 (score from 70-79) + 7 (score from 80-89) + 5 (score from 90-99) = 23 people.

Answer:

the answer is 23

Step-by-step explanation:

hopes this helps:)

Answer:

a)   x₁ = 14

     x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x²  - 32x  - 336  = 0       or    x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8  ±√(64) + 336 ]/2

x₁,₂ = [ 8  ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁  = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32  ⇒  P´(x) = 0     - 8x + 32

x = 32/8

x = 4    Company has to sell  4 ( 4000 snowboard)

to get  a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64  + 128 + 336

P(max) = 400           or  400* 10000 =  4000000

Answer:

2+(11+y)=(2+11)+y=11+(2+y)

Answer:

Sample Response: The associative property allows you to keep the order of the terms and change the position of the parentheses. So you can rewrite the terms in the same order and then move the parentheses so that the 2 + 11 is now inside. The equivalent expression is (2 + 11) + y.

Step-by-step explanation:

E d g e n u i t y

Answer:

the first, second and last option are all correct

Step-by-step explanation:

just Googled and squares have congruent diagonals, and the definition of a rhombus is that all the sides and angles have to be equal and adjacent, and a square has those qualities, which would also make the last statement true.

a square have two pairs of parallel sides, making the fourth one incorrect

and a square is also a rectangle so the third one is wrong as well!! :)

Answer:

TRUE

Step-by-step explanation:

We are given 2 triangles, ∆ABC and ∆DEF.

For the two trinagles to be considered similar, both must have their set of corresponding angles congruent to each other. That is, their corresponding angles are equal.

From the information given, the following are the set of corresponding angles:

<B = <E = 31°

<B = <D = 90°

<C = <F = 59° [180 - (90+31)]

The corresponding angles of both triangles are congruent. Therefore, it is guaranteed that ∆ABC is similar to ∆DEF (∆ABC ~ DEF).

Answer:

Last option is correct.

Step-by-step explanation:

[tex] - 2 {x}^{3} {y}^{4} {x}^{2} {y}^{3} [/tex]

Multiply the terms with the same base by adding their exponents

[tex] - 2 {x}^{3 + 2} {y}^{4 + 3} [/tex]

Add the numbers

[tex] - 2 {x}^{5} {y}^{7} [/tex]

Hope this helps..

Best regards!

[tex] - 2 {x}^{5} {y}^{7} [/tex]

Solution:

[tex] - 2 {x}^{3} {y}^{4} {x}^{2} {y}^{3} [/tex]

[tex] = 2 {x}^{(3 + 2)} {y}^{(4 + 3)} [/tex]

[tex] = - 2 {x}^{5} {y}^{7} [/tex]

[tex]{\boxed{\blue{\textsf{Some Important Laws of Indices}}}}[/tex]

[tex]{a}^{n}.{a}^{m}={a}^{(n + m)} [/tex]

[tex]{a}^{-1}=\dfrac{1}{a}[/tex]

[tex]\dfrac{{a}^{n}}{ {a}^{m}}={a}^{(n-m)}[/tex]

[tex]{({a}^{c})}^{b}={a}^{b\times c}={a}^{bc}[/tex]

[tex] {a}^{\frac{1}{x}}=\sqrt[x]{a}[/tex]

[tex]a^0 = 1[/tex]

[tex][\text{Where all variables are real and greater than 0}][/tex]