read the given news article underline the relevant ideas informationbonce and underpine the irrelevantvinformation twice​

Answer:

Direct Variation is a relation that is of the form y = mx.

and

Partial Variation is a relation that is of the form y=mx+b

Explanation:

This is a simple way to see the difference between them.

Hope This help you!

Answer:

9 students in music class.

Step-by-step explanation:

In art there are 4 and since there are 8 more 8 + 4 = 12. so there are 12 in Art.

4 x _ = 12. —> 4 x 3 = 12.
so we need to do the same for music class.

For music there are 3.
so we multiply by 3 like we did with the 4.

3 x 3 = _ —> 3 x 3 =9.
so there are 9 students in music class.

Answer:

[tex]y=-\frac{3}{4}x+3[/tex]

Step-by-step explanation:

formula for the gradient is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]

we insert our intercepts to get [tex]\frac{0-3}{4-0}=\frac{-3}{4}[/tex]

and our y-intercept (where the line crosses the y-axis) is 3

Answer:

Answer:

x=-1

y=10/3

Step-by-step explanation:

You can solve the system of equations by applying the elimination method as following:

- Add both equations, then:

- Finally, you must substitute the value of x obtained into one the original equations and then you must solve fot y:

Answer:

b,

Step-by-step explanation:

8 miles in 1/6 hour  8*6=48 mph

10 miles in 1/5 hour   10*5=50 mph

6 miles in 1/7 hour 6*7 = 42 mph

Using the Central Limit Theorem, it is found that the sampling distribution will be approximately normal, with mean of -0.04 and standard error of 0.0423.

In this problem, for each sample, the mean and the standard error are given by:

[tex]p_C = 0.08, s_C = \sqrt{\frac{0.08(0.92)}{100}} = 0.0271[/tex]

[tex]p_A = 0.12, s_A = \sqrt{\frac{0.12(0.88)}{100}} = 0.0325[/tex]

Then, for the distribution of differences, we have that:

[tex]p = p_C - p_A = 0.08 - 0.12 = -0.04[/tex]

[tex]s = \sqrt{s_C^2 + s_A^2} = \sqrt{0.0271^2 + 0.0325^2} = 0.0423[/tex]

The sampling distribution will be approximately normal, with mean of -0.04 and standard error of 0.0423.

To learn more about the Central Limit Theorem, you can check https://brainly.com/question/24663213

Answer:

The last one

Step-by-step explanation:

The last one is the only one in standard form.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Blue tripp:

Hikes 2/3 miles every 1/2 hour

Yellow troop:

Hikes 3/4 miles every 1/3 hour

How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?

To hike 1 1/2 miles

Blue troop:

2/3 miles = 1/2 hours

3/2 miles = x

2/3x = 3/4

x = 3/4 * 3/2

x = 9/8 = 1 1/8 hours

Yellow troop:

3/4 = 1/3 hours

3/2 = x

3/4x = 3/6

x = 3/6 * 4/3

x = 12/18 = 2/3 hours

To hike 1/2 mile :

Blue troop:

2/3 miles = 1/2 hours

1/2 miles = x

2/3x = 1/4

x = 1/4 * 3/2

x = 3/8 hours

Yellow troop:

3/4 = 1/3 hours

1/2 = x

3/4x = 1/6

x = 1/6 * 4/3

x = 4/18 = 2/9 hours

To hike 3/4 miles :

Blue troop:

2/3 miles = 1/2 hours

3/4 miles = x

2/3x = 3/8

x = 3/8 * 3/2

x = 9/16 hours

Yellow troop:

3/4 = 1/3 hours

3/4 = x

3/4x = 3/12

x = 1/4 * 4/3

x = 4/12

x = 1/3 hours

Answer:

8550

Step-by-step explanation:

Answer: 3

You're going to multiply 3 by 2 which gives you 6. you then have 6 over 2. Next find a number that goes into both of them which is 2 in this case. So now you divide the top and bottom by 2, so now you have 3 because two divided by two is zero, that is as small as it gets.

Answer:-3

Step-by-step explanation:

Look at the photo.

Answer:

[tex]Cost = 21.0j[/tex] --- PRINT IT

[tex]Cost = 45.0 +18.0j[/tex] --- TOP PRINT

Step-by-step explanation:

Given

Print IT & Top Print

Represent the number of jerseys with j.

For PRINT IT.

[tex]Cost=\$21.0[/tex] per jersey

For Top Print

[tex]Base\ Amount = \$45.0[/tex]

[tex]Cost = \$18.0[/tex] per jersey.

j jerseys with PRINT IT will cost: [tex]21.0 * j[/tex]

[tex]Cost = 21.0 * j[/tex]

[tex]Cost = 21.0j[/tex]

j jerseys with TOP PRINT will cost: [tex]45.0 +18.0 * j[/tex]

[tex]Cost = 45.0 +18.0j[/tex]

Answer:

The y-intercept of the equation is 50

Its interpretation in the context is " the initial charge for the rental "

Step-by-step explanation:

The linear relationship can be represented by the equation

y = a x + b, where

∵ Serenity is moving and must rent a truck

∵ There is an initial charge for the rental

∴ b represents the initial charge for the rental

∵ There is a fee per mile driven

∴ a represents the fee per mile driven

∵ The equation represents this situation is C = 50 + 2.75 m

∵ C is the total cost

∵ m is the number of miles driven

→ Compare it with the form of the equation above

∴ a = 2.75

∴ b = 50

∵ b is the y-intercept

∴ The y-intercept of the equation is 50

∵ b represents the initial charge for the rental

∴ The initial charge for the rental is $50

∴ Its interpretation in the context is " the initial charge for the rental "

Answer:

C.565 in.3 yeah maybe

i think its 9.9 but if its not that its 8.7

The revenue of US theme parks in 2012 is 14.5 in dollars.

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

From the given table, (1990, 5.7), (1992, 6.5), (1994, 7.0), (1996, 7.9), (1998, 8.7), (2000, 9.6), (2002, 9.9), (2004, 10.8), (2006, 11.5).

Using the coordinates (1990, 5.7) and (1992, 6.5), we get

Slope m=(6.5-5.7)/(1992-1990)

= 0.8/2

= 0.4

Substitute m=0.4 and (x, y)=(1990, 5.7) in y=mx+c, we get

5.7=0.4×1990+c

c=5.7-796

c=790.3

Substitute m=0.4 and c=-790.3 in y=mx+c, we get

y=0.4x-790.3

Substitute x=2012, we get

y=0.4×2012-790.3

y=804.8-790.3

y=14.5

Therefore, the revenue of US theme parks in 2012 is 14.5 in dollars.

To learn more about the scatter plot visit:

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Answer:

I think it would be

Sums

1) a + -5

2) m + -n

Differences

1) 7 - -3

2) a - -5

Step-by-step explanation:

Answer: 2

To maximize the length of the third side, which I'll call x, it needs to be one of the two shorter sides.

So by the triangle inequality theorem, 11+x>12 meaning the minimum whole number value of x is 2.

Answer:

No

Step-by-step explanation:

put 4 where x is and 8 where y is

y = x² - 2x + 1

does

8 = 4^2 -2(4) + 1

8 = 16 -8 + 1

8 = 9  

Does 8 = 9 ?

No

Answer:

Step-by-step explanation:

TURKEY

The definition of congruence = yellow or number 2

If 2 lines are cut by a transversal such that same side interior angles are supplementary, then the lines are parallel =  purple or number 6

Vertical angles are congruent = green or number 3

Given= orange or number 1

Definition of supplementary= blue or number 4

Substitution= red or number 5

I think those are the right answers for the turkey one. If it's not (but I'm pretty sure it is) But if it's not, then switch the yellow and green. Blue and red.

HAT

given=a||b orange number 1

vertical angles are congruent= green or number 2

definition of congruency= blue or number 3

definition of supplementary angles= yellow or number 4

If  two parallel lines are cut by a transversal..... = purple or number 5

subsitution= red or number 6

Just saying, I might've done something wrong since it is late at night for me, but sorry just in advance. But I know for a fact that most of my answers are right

[tex]9 - 4r > 5[/tex]

Plus sides 4r

[tex]9 - 4r + 4r > 5 + 4r[/tex]

[tex]9 > 4r + 5[/tex]

Subtract sides -5

[tex]9 - 5 > 4r + 5 - 5[/tex]

[tex]4 > 4r[/tex]

[tex]4r < 4[/tex]

Divided sides by 4

[tex] \frac{4}{4}r < \frac{4}{4} \\ [/tex]

[tex]r < 1[/tex]

_________________________________

Done♥️♥️♥️♥️♥️

Answer:

Step-by-step explanation:

[tex]\boxed{\underline{\text{SOLVING AN INEQUALITY}}}[/tex]

Given:

The inequality must be solved.

The process of solving an inequality consists of determining the values of the variable that make the statement true.

The definition of inequality is where one quantity is greater than or less than another.

Solutions:

First, subtract by 9 from both sides.

[tex]:\Longrightarrow \sf{9-4r-9 > 5-9}[/tex]

Solve.

5-9=-4

-4r>-4

Multiply by -1 from both sides.

[tex]\Longrightarrow: \sf{\left(-4r\right)\left(-1\right) < \left(-4\right)\left(-1\right)}[/tex]

Solve.

4r<4

Divide by 4 from both sides.

4r/4<4/4

Solve.

4/4=1

[tex]\Longrightarrow: \boxed{\sf{r < 1}}[/tex]

I hope this helps, let me know if you have any questions.

Learn more about how to solve inequality:

https://brainly.com/question/12476793

Answer:

x<85

Step-by-step explanation:

first we change the sentence in formula as the following

2x‒58<112

then we can solve easly

2x<112+58

2x<170

2x/2<170/2

x<85

i think this is clear &easy to understand .i hope it helps you

Step-by-step explanation:

so, what is the question ?

all you are giving us here are some facts about what's going on. but what is the goal ? what do we need to find out ?

is it when the bacteria cultures have the same population ?

I assume that for my following answer :

"once every 2 hours" can be expressed by "x/2". with x being hours. so, instead of "x", which would mean "once every hour", we use "x/2".

"doubles (once) every 2 hours" is then

2×2×2×...×2 doubles on how many units of 2 hours we have.

this is

2^(x/2)

this is the factor we need to multiply with everything we want to behave that way (to double in size every 2 hours).

in our case here : 50 bacteria.

so, Colby's bacteria culture function is

c(x) = 50 × 2^(x/2)

similar for jaquan:

j(x) = 80 × 2^(x/3)

as his culture doubles every 3 hours.

now for the assumed question, when will both cultures have the same population ?

it is for that value of x that makes both function to deliver the same functional result.

50 × 2^(x/2) = 80 × 2^(x/3)

5 × 2^(x/2) = 8 × 2^(x/3)

now we use the log2 function on both sides and get

log2(5 × 2^(x/2)) = log2(8 × 2^(x/3))

remember the laws of logarithm. particularly

log(a×b) = log(a) + log(b)

and

loga(b) = logc(b)/logc(a)

log2(5) + log2(2^(x/2) = log2(8) + log2(2^(x/3)

log2(5) + x/2 = log2(8) + x/3 = 3 + x/3

3×log2(5) + 3x/2 = 9 + x

2×3×log2(5) + 3x = 2×9 + 2x

6×log2(5) + 3x = 18 + 2x

x = 18 - 6×log2(5) = 18 - 6×ln(5)/ln(2) = 4.068431431... hours

so, after a little bit more than 4 hours both bacteria cultures reach the exact same number of population : 204.8

which is, of course, only theoretical, as there cannot be "part bacteria" in the cultures.

now, we could calculate the x for when c(x) = 204, and the x for when c(x) = 205.

and then the same for j(x) and then see if or what overlap between these two x intervals there is.

during this overlap period both cultures will have the same (whole number) amount of bacteria.

but I think this is a topic for another question, as I am not even sure that I addressed the true original question.

Answer:

[tex]\huge\boxed{\text{The polygons are NOT similar}}[/tex]

Step-by-step explanation:

Because triangle DBC has an angle of measure 49°, and triangle IHJ does not, the polygons are not similar.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

34.78

Step-by-step explanation:

using cosine rule

AB^2 = CB^2 + AC^2 -2(CB × AC × COS C)

18^2 = 17^2 + 27^2 -2(27×17×COS C)

324= 289+729- 918COSC

324-289-789= -918COSC

-754= -918COSC

COS C = 754/918

COS C = 0.82135076253

C= arccos(0.82135076253)

C= 34.78(2 dp)

Answer:

No solution

Step-by-step explanation:

Answer:

a) This is not a random sample

b) The generalization from this sample would not be valid

Step-by-step explanation:

No the sample is not random. If the questionnaire would had been send to any five students in a class irrespective of whether they are among the top five, then the sample could be referred as random sample.

The marks of top five students in any grade would give an average value that will be an outlier to the average of marks of all students with in a grade.

Hence, the generalization from this sample would not be valid

Using it's concept, it is found that the experimental probability of getting a 4 or a 6 is of 0.2833 = 28.33%.

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

For an experimental probability, these numbers of outcomes are taken from previous trials.

Researching the problem on the internet, it is found that the image gives that 13 + 11 + 9 + 8 + 10 + 9 = 60 trials, 8 + 9 = 17 resulted in a 4 or a 6, hence the probability is given by:

p = 17/60 = 0.2833.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

D) 64.35

Step-by-step explanation:

Please rate and mark as brainlest.

The area under the shaded region from 1 to 2 is 0.14

Probabilities actually define the percentage of the happening of an event

Here the shaded region shows  the probability of the z-scores

The shaded region 1 to 2 is represented as:

[tex]P(1 < z < 2)[/tex]

By using the probability of z-score we can have

[tex]P(1 < z < 2)=P(z < 2)-P(z < 1)[/tex]

From the given standard normal table:

[tex]P(z < 2)=0.9772[/tex]

[tex]P(z < 1)=0.8413[/tex]

So, we have:

[tex]P(1 < z < 2)=0.9772-0.8413[/tex]

[tex]P(1 < z < 2)=0.1359[/tex]

The approximated value will be

[tex]P(1 < z < 2)=0.14[/tex]

Thus the area under the curve shaded is 1 to 2 is 0.14

To know more about Z- probability follow

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Answer:

75%

Step-by-step explanation:

red is 50 and the blue is 25