MATHEMATICS MIDDLE SCHOOL

Listed below are sorted duration times (seconds) of eruption of the old Faithful geyser in Yellowstone National Park. use these to construct a frequency distribution

Answers

Answer 1

Answer:

Answer:

See explanation

Step-by-step explanation:

Width = 25 seconds

Lower class limit = 125 seconds

To find the frequency of each class, just count the numbers which appear in described class

Hence, the frquency distibution is

Classes: Frequency

125 - 150 seconds 1

151 - 175 seconds 0

176 - 200 seconds 0

201 - 225 seconds 4

226 - 250 seconds 34

251 - 275 seconds 11

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Charlie runs at a speed of 3 yards per second. About how many miles per hour does Charlie run?

Answers

Times 3 by 3,600 and you find out that he runs 10,800 yards per an hour. Now there are 1,760 yards in a mile so if you divide 10,800/1,760 and get 6.14
So charlie runs 6.14 MPH

Write and equation of a line that is parallel to the line below and passes through the given point

Answers

a line parrelel would have the same slope

in y=mx+b m=slope and b=yintercept

so y=-2/3x-5
the point you want is -3,11 or this equation is true when x=-3 and y=11 are true so subsitute and solve for the new 'b'

11=-2/3(-3)+b
11=2+b
subtract 2 from both sides
9=b

the equaqtion is y=-2/3x+9

If one line is parallel to another, that means the two lines have the same slope. Therefore, since the line you are creating is parallel to the line y = -2/3x - 5, it's slope must be the same, -2/3. Additionally, you know it passes through the point (-3, 11).

If you don't remember the slope-intercept equation, it looks like this:
y = mx + b, where m is the slope, b is the y-intercept, and x and y are, well, x and y.

Let's plug in the slope we know it must have (-2/3) and plug in the (x, y) coordinates we were provided so that we can find b.
11 = -2/3(-3) + b

Solve for b:
11 = 2 + b
9 = b

Now we know our slope and our y-intercept, after solving for it, so we can write our final equation!

The answer is: y = -2/3x + 9

Write the expression as a constant , a single trigonometric function, or a power of a trigonometric function. Sin x cos x/ tan x

Answers

The expression a single Trigonometric function $(sin(x) * cos(x)) / tan(x) simplifies\ to \ 1.$

Let's express the expression $(sin(x) * cos(x)) / tan(x)$ in terms of a single trigonometric function or a power of a trigonometric function, we can simplify it as follows:

$(sin(x) * cos(x)) / tan(x)$

First, we can use the trigonometric identity: tan(x) = sin(x) / cos(x).

$(sin(x) * cos(x)) / (sin(x) / cos(x))$

Now, we can simplify by canceling out common terms in the numerator and denominator:

$(sin(x) * cos(x)) * (cos(x) / sin(x))$

Now, we can see that the sin(x) term in the numerator cancels out with the sin(x) term in the denominator, and the cos(x) term in the denominator cancels out with the cos(x) term in the numerator:

= 1

$the \ expression (sin(x) * cos(x)) / tan(x) simplifies\ to \ 1.$

For more such questions on Trigonometric function

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Answer:

cos²x

Step-by-step explanation:

Using the trigonometric identity

• tanx = $(sinx)/(cosx)$ , then

$(sinxcosx)/(tanx)$

= $(sinxcosx)/((sinx)/(cosx) )$

= sinxcosx × $(cosx)/(sinx)$

cancel the sinx in the multiplier with the sin x on the denominator

= cos²x

Ten video games cost $145

Answers

I kinda doubt that but ig it depends. Usually the they’re like $60 each unless you get a good deal for em.

Answer: $14.5 per game
Each game costs 14 dollars and 5 cents.

All you do is divide 10 into 145 to get your answer

Answer:

each video game costs 14.5 dollars

Step-by-step explanation:

Angie draw a number line and labeled 0 and 1. To show 5/12, into how many part should she divide the distance from 0 to 1?

Answers

I believe the answer is 12 since there the denominator of the fraction is 12.

cedric has 1 red pen, 1 blue pen, and 1 black pen in his desk. if he randomly takes two of them from his desk without replacement, what is the probility that he will take the blue and black pen?