Plant A is 4 inches tall and growing at a rate of 4 centimeters per
week. Plant B is 10 inches tall and growing at a rate of 1 centimeter per
week. After how many weeks will both plants have the same height?
Choose the equation that best represents this situation.
A.) 4 - 4y = 10 - Y
B.) 4 + 4y = 10 + y
C.)4 + y + 4y = 10
D.)4(y + 4y) = 10

Using the uniform distribution, it is found that:

a) The height of the density curve is of 0.25.

b) 31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".

c) The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.

Uniform distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, uniform between 1 and 5, hence [tex]a = 1, b = 5[/tex]

Item a:

The height of the uniform distribution is:

[tex]h = \frac{1}{b - a}[/tex]

Hence:

[tex]h = \frac{1}{5 - 1} = 0.25[/tex]

Item b:

[tex]P(X > 3.75) = \frac{5 - 3.75}{5 - 1} = 0.3125[/tex]

0.3125 x 100% = 31.25%

31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".

Item c:

The 38% percentile is x for which P(X < x) = 0.38, hence:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

[tex]0.38 = \frac{x - 1}{4}[/tex]

[tex]x - 1 = 4(0.38)[/tex]

[tex]x = 2.52[/tex]

The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.

A similar problem is given at https://brainly.com/question/15855314

Answer:

Length of each shelf is 0.45 meters

Step-by-step explanation:

Given

[tex]Total\ Length = 2.25\ meters[/tex]

[tex]Shelves = 5[/tex]

Required

Determine the length of each shelf

This is calculated by dividing the total length by number of shelves as thus:

[tex]Length = Total\ Length/Number\ of\ Shelf[/tex]

[tex]Length = 2.25m /5[/tex]

[tex]Length = 0.45m[/tex]

Hence;

Length of each shelf is 0.45 meters

Answer:

0.45

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Siri said thats right

Answer:

-18

Step-by-step explanation:

the square root of 324 is 18, so you add the negative sign, and get your answer

Answer:

a) The equation is:

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b) The 98% confidence interval = (5.62784, 6.37216)

Step-by-step explanation:

a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

Mean = 6 days

Standard deviation = 1.6 days

Number of samples = 100

Z score of 98% confidence interval = 2.326

Confidence interval = 6 ± 2.326 × 1.6/√100

= 6 ± 2.326 × 1.6/10

= 6 ± 0.37216

= 6 - 0.37216

= 5.62784

6 + 0.37216

= 6.37216

Therefore, the 98% confidence interval = (5.62784, 6.37216)

Answer:

D. (the one in the right hand bottom corner)

Answer:

Bottom right

Step-by-step explanation:

The equation is y = 2x - 3

2 represents the slope

-3 represents the y-intercept

The y-intercept is when x = 0

So first, we look at the graphs and find the graphs that display when x = 0, y = -3 aka (0, -3)

From this, we can deduce the two graphs on the left side are wrong

It must be the two on the right

Now we figure out which one has a slope of 2 aka rise over run = 2/1

Which graph goes up (rises) 2 units and goes forward (runs) 1 unit?

The top right graph depicts a slope of 1/2, not 2/1 so this is incorrect

The bottom right graph displays a slope of 2/1 aka 2

Bottom right graph is the correct answer

Answer:

Its's $3 for an adult ticket and $1 for a student ticket

Step-by-step explanation:

Answer:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Step-by-step explanation:

Let the quantity of frosted donuts = [tex]x[/tex]

Let the quantity of glazed donuts = [tex]y[/tex]

Let the quantity of custard filled donuts = [tex]z[/tex]

As per question statements, following equations can be made:

[tex]x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)[/tex]

Putting [tex]x=2x[/tex] in (1) and (2):

[tex]y+3z=12 .... (4)\\y+9z=18 .... (5)[/tex]

Subtracting (4) from (5):

[tex]6z=6\\\Rightarrow z =\bold{1}[/tex]

By equation (3):

[tex]x=\bold{2}[/tex]

By equation (1):

[tex]y=\bold{9}[/tex]

Therefore, the answers are:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Answer:

Yes they are equivalent since you multiply by 10, you move the decimal place one spot to the right. It is very simple.

Step-by-step explanation:

Hope I could help :D

Answer:

AC = 30 in

m∠B = 36,9°

m∠A = 53,1°

Step-by-step explanation:

1 AC

You gan get AC with the pythagorean theorem:

a²+b²=c²

We are looking for side b of the triangle, so the equation is rearranged for b.

BC²+AC²=AB²    | -BC²

AC²=AB²-BC²

AC=√(AB²-BC²)

Now the given values are used:

b=√(50²-40²)

b=√(2500-1600)

b=√900

b=30 in

2 m∠B

This angle can be calculated using the sine law:

sine(angle)=opposite cathete/hypothenus

We are looking for angle m∠B of the triangle.

sin(m∠B)=AC/AB

sin(m∠B)=30in/50in

sin(m∠B)=0,6

m∠B=36,9°

3 m∠A

This angle can be calculated using the sine law:

sine(angle)=opposite cathete/hypothenus

We are looking for angle m∠A of the triangle.

sin(m∠A)=BC/AB

sin(m∠A)=40in/50in

sin(m∠A)=0,8

m∠A=53,1°

Answer:

Hi there!

Your answer is:

1050 liters per 6 days

Step-by-step explanation:

350liters per 2 days

*3 to determine 6 days

1050 liters per 6 days

Hope this helps

Answer:

1050

Step-by-step explanation:

350 liters per 2 days

to get 6 days you will need to multiple 2 by 3

you need to do that to 350 too

350   x    3 = 1050

your ration is 350:2

make it to

1050:6

let me know if you need more help

A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6.

Step-by-step explanation:

Answer:

-10, -3,  5, 16

Step-by-step explanation:

even though the negative number (10) might seem big, but its not

Answer:

-10,-3,5,16

Step-by-step explanation:

-10 is 10 times smaller than 1

-3 is 3 times smaller than 1

5 is 5 times bigger than 1

16 is 16 times bigger than 1

Answer:

y=-2x

Step-by-step explanation:

Hope this helps! :)

Answer:

y-intercept = 3

x- intercept = -1.5

Step-by-step explanation:

-4x + 2y = 6

+4x          + 4x

2y = 4x + 6

2          2

y = 2x + 3

Graph then you would get the coordinates of (0, 3) and (-1.5, 0)

Answer:

x intercept: (-3/2,0)

y intercept:(0,3)

Step-by-step explanation:

The graph has 2 intercepts, as it is a parabola with a degree of 2.

Answer:

[tex]\sqrt3[/tex]

Step-by-step explanation:

I'm assuming you're dealing with degrees.

If that's the case, then I would first find the closest multiple of 360 to that number.

360*20 = 7200, which is a bit too high; 360*19 = 6840, still a bit too high; 360*18 = 6480, perfect.

Now, just subtract 6480 from 6720 and you will get 240.

The answer is now simplified to tan 240, which can be expressed as sin(240)/cos(240).

240 degrees is 30 degrees away from 270, creating a 30-60-90 triangle.

That means cos(240) is -1/2 and sin(240) is -sqrt(3)/2.

Now, just divide:

[tex]-\frac{\sqrt3}{2}/-\frac{1}{2} = -\frac{\sqrt3}{2}\cdot-2 = \sqrt{3}[/tex]

Therefore, tan(6720 degrees) = [tex]\sqrt3[/tex]

Answer:

I need a picture or example to answer

Step-by-step explanation:

Answer:

I dont know how to read hindi can u pls translate it into English

Answer:

a

Step-by-step explanation:

15*20%=3

15-3=12

Answer:

The number of text messages is 85 ⇒ B

Step-by-step explanation:

To solve this question

The form of the linear equation is y = m x + b, where

Plan A:

∵ The fee per message is $0.10

∴ m = 0.10

∵ The monthly fee is $35

∴ b = 35

∴ The total cost y = 0.10 x + 35

Plan B:

∵ The fee per message is $0.30

∴ m = 0.30

∵ The monthly fee is $18

∴ b = 18

∴ The total cost y = 0.30 x + 18

∵ Both plans cost is the same for one month

→ Equate the right sides of the two equations

∴ 0.30 x + 18 = 0.10 x + 35

→ Subtract 0.10 x from both sides

∴ 0.30 x - 0.10 x + 18 = 0.10 x - 0.10 x + 35

∴ 0.20 x + 18 = 35

→ Subtract 18 from both sides

∴ 0.20 x + 18 - 18 = 35 - 18

∴ 0.20 x = 17

→ Divide both sides by 0.20

∴ [tex]\frac{0.20x}{0.20}=\frac{17}{0.20}[/tex]

∴ x = 85

∴ The number of text messages is 85

Answer:

where is the answer

Step-by-step explanation:

Answer:

lrrjrklrk

krknfene

lrrjrklrk

Step-by-step explanation:

krknfene

lrrjrklrk

krknfene

Answer:

the scientific notation is

5.017E10

Answer:

[tex]f(3)=-5[/tex]

Step-by-step explanation:

We have the functions [tex]f(x)=-2x+1[/tex] and [tex]g(x)=4x-5[/tex]

We want to find [tex]f(3)[/tex]. So, we can use our first function.

Substitute 3 for x. This yields:

[tex]f(3)=-2(3)+1[/tex]

Multiply:

[tex]f(3)=-6+1[/tex]

Add:

[tex]f(3)=-5[/tex]

So:

[tex]f(3)=-5[/tex]

Anwer:32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

To find out what to do first, use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, ans Subtraction)

Now it should look like this: (90-((50/5)*6)) + 2

First, divide 50 by 5 and get 10

So now it will be like this: (90-(10 x 6) + 2

Next, multiply 10 by 6 and you'll get 60.

The problem is looks like this: (90 - 60) + 2

Then, subtract 60 from 90 and get 30.

30 + 2

Lastly, add 30 and 2 to get 30.

Hope this helps.

Answer:

WEll first show the MAP. Then I will help.

Step-by-step explanation:

Answer:

100 miles

Step-by-step explanation:

Half an inch is.. half of an inch. If you want to find out how many miles per inch there are, multiply the amount of miles for every half inch (50) by 2.

Answer:

[tex]x\in (-\infty,11][/tex]

Step-by-step explanation:

Inequalities

Solve the following inequality:

[tex]-3x+14\ge 3-2x[/tex]

Adding 2x:

[tex]-3x+14+2x\ge 3[/tex]

Subtracting 14:

[tex]-3x+2x\ge 3-14[/tex]

Operating:

[tex]-x\ge -11[/tex]

Multiplying by -1 and flipping the sign:

[tex]x\le 11[/tex]

Solution:

[tex]\boxed{x\in (-\infty,11]}[/tex]