please help ill give brainliest
​

Answer:

a) attached below

b) Area = 1/2 ( base ) (height )

        = 1/2 ( x ) ( x/2)

        = x^2 / 4

C) i)25%     ii) 54.69%      iii) 85.94%

Step-by-step explanation:

Given density curve y = x/2  for 0 < x < 2  and y = 0

a) Graph the density curve of this variable

attached below

b) show that the area under the density curve to the left of any number x between 0 and 2 equals x^2/4

base of triangle = x

height = x/2

Hence to show the area under the density curve is equal to x^2/4 we will calculate the area to the left

Area = 1/2 ( base ) (height )

        = 1/2 ( x ) ( x/2)

        = x^2 / 4

c) Determine the percentage of the time of the distance of the center of the first spot to appear from the center of the petri dish

i) At most 1 inch

(area to the left of 1 ) = 1^2 / 4

= 1/4 = 0.25 ≈  25%

ii)   between 0.25 inch and 1.5 inches?

( area between 0.25 and 1.5 ) = ( area to the left of 1.5 ) - ( Area to the left of 0.25 )

= (1.5^2 / 4 )- ( 0.25^2 / 4 )

= 0.5469 = 54.69%

iii) more than 0.75 inch

( Area to the right of 0.75 ) = 1 - (0.75^ / 4)

                                            = 0.8594 = 85.94 %

Answer:

He pays $18 for the long distance calls because 0.06 x 300 is 18

and if you want to find how much that month do 18+20 which is 38

$38 that month

Answer:

b) 2 (x - 4) = 6x

Step-by-step explanation:

equation:

⇒ 2 (x - 4) = 6x

use distributive property:

⇒ 2 (x - 4) = 6x

⇒ 2x - 8 = 6x

subtract x from both sides:

⇒ 2x - 2x - 8 = 6x - 2x

⇒ -8 = 4x

divide both sides by 4:

⇒ [tex]\frac{-8}{4} = \frac{4x}{4}[/tex]

⇒ -2 = x

to check, substitute -2 for x: answer should be the same

2 (x - 4) = 6x

2 (-2 - 4) = 6 x -2

-4 - 8 = -12

-12 = -12

Answer:

i got A and B.

Step-by-step explanation:

for a, subtract 6 from both sides and your new equation should be 2x=-4

the divide -4 by 2 which is -2

for b, you multiply 2 by each number in the parenthesis so your new equation should be 2x-8=6x. then subtract 2x from 6x and get 4x then divide -8 by 4 to get -2. im 100% sure abt A but i was a little confused on B good luck tho

Answer:

4.5 ft

Step-by-step explanation:

Let length = 2x + 3

Let width = x

Area = 54 ft2

length × width = Area

x(2x + 3) = 54

2x2 + 3x = 54

2x2 + 3x - 54 = 0

(2x - 9)(x + 6) = 0

x = 9/2    and    x = -6

x = 4.5    and    x = -6

We accept x = 4.5 because length cannot be a negative value.  Substituting this value into the dimensions:

width = 4.5 ft

length = 2(4.5) + 3 = 9 + 3 = 12 ft

Answer:

100

Step-by-step explanation:

Hello There!

∠4 and ∠8 are corresponding angles

corresponding angles are congruent so if ∠4 = 100 then ∠8 also equals 100

A fair price for this house is $183.68. Therefore, option B is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, a seller has a house that is 1800 square feet.

The neighborhood comps show the line of best fit to be y = 0.074x+50.48.

Substitute x=1800 in the given equation, we get

y=0.074×1800+50.48

y=$183.68

Therefore, option B is the correct answer.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ1

Answer:

r = 4.90228481 in

d = 9.80456963 in

Answer: 50 square units

Step-by-step explanation:

Answer:

275, 375, 475

Step-by-step explanation:

First, find the slope using the two pairs of values given.

Number of days = x

Total number of trophies = y

Using (3, 80) and (7, 180),

Slope = ∆y/∆x = (180 - 80)/(7 - 3) = 100/4 = 25

Slope/unit rate = 25 trophies per day

Multiply 25 by each given number of days to get each corresponding total number of trophies won.

Thus:

✔️Number of days = 11

Total number of trophies won = 11*25 = 275

✔️Number of days = 15

Total number of trophies won = 15*25 = 375

✔️Number of days = 19

Total number of trophies won = 19*25 = 475

Answer:

280

380

480

Step-by-step explanation:

If he gets 100 trophies every 4 days then you just add 100 to each column because in each one the days are increasing by 4

Your welcome ;)

Answer:

(-3,1) and (-8,6)

Step-by-step explanation:

Hey gabymcarrillo!

The solution is always the place where the two lines intersect.

Our first answer: go 3 left on the x- axis, and then go 1 up on the y- axis. This results in (-3,1)

Our second answer: go 8 left on the x- axis, then go 6 up on the y- axis. This results in (-8,6)

Hope a helped, have a nice day!

          -Aadi x

Answer:

9 . right triangle

Step-by-step explanation:

9. has right angle

Answer:

2.34

Hope that helps!

Answer:

18 is 45% of 40

Step-by-step explanation:

Answer:

According to the Central Limit theorem, the distribution is roughly normal

Step-by-step explanation:

The Central Limit Theorem states that for sample sizes above 30 and not withstanding population distribution's shape, the sampling distribution of the sample mean becomes more similar t hat of a normal distribution as the sample size increases;

The size of the sample = 1,000 >> 30

As the sample size approaches infinity, we have;

[tex]z=\dfrac{\bar{x}-\mu }{\dfrac{S.D.}{\sqrt{n}}}[/tex]

[tex]\overline x[/tex] = 1.5

S.D. = 1.8

n = 1000

Assume μ = 1, we get;

[tex]P(x > 1.1):z=\dfrac{1.1-1 }{\dfrac{1.8}{\sqrt{1000}}} = 1.7568[/tex]

P(z > 1.7568) = 1 - 0.96080 = 0.0392

Therefore, it is very likely that the mean of the population is not larger than the sample mean

Therefore, yes, the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal

Answer:

b good luck srro if u am rong

Answer:

the best way to write is as it is in the beginning, so 1.2×10^-6, that is the alternative A.

You have a 3/6 chance of getting even number (there are 3 even numbers in the 6 die)

You have a 1/16 chance of getting a 16 on the other die

multiply them 1/3 × 1/16 then convert it to decimal form is your answer

Answer:

she would be able to buy 6.6

Answer:

its 6.6

Step-by-step explanation:

cause i did that already

Answer:

$51.63

Step-by-step explanation:

Joe spent 5 days on the trip and spent $258.14 total on food. To find the cost for each day, divide 258.14 by 5.

258.14 / 5 ≈ 51.63

Answer:

C

Step-by-step explanation:

A normal curve describes a unimodal curve... this has 2 peaks (bimodal)

**this looks like stats?**

The graph does not represent a normal curve since:

Graphically speaking, the probability density function of a normal distribution has the following characteristics:

The curve presented in the image only observes the condition described in 2. Therefore, we conclude that correct choices are:

We kindly invite to check this question on normal curves: https://brainly.com/question/15992479

Answer:

84 inch

Step-by-step explanation:

A=base*height

A=12*7

A=84 inch

Answer:

i would say about 16 miles.

Answer:

Step-by-step explanation:

Draw a picture. The lines between their houses forms a right triangle. Kennedy is at the 90°. The distance between Shiloh and Zoe is the hypotenuse of the triangle, so use the Pythagorean Theorem.

Distance² = 8² + 6² = 100

Distance = √100 = 10 miles

Answer:

Step-by-step explanation:

7/10 are black therefore 14/20 are black

Answer:

3.6m

Step-by-step explanation:

Answer:

a) 4:13

b) 9:13

Step-by-step explanation:

Answer:

I don't understand what the question issssss