Lucy separates a number of paintbrushes, x, into 2 equally sized groups. She claims that this is the same as making a group 1/2 the size of his original group. Create an equation that models Lucy's claim.

Answer:

2/3

Step-by-step explanation:

spread it out

2x + 12 - 8x = (6x + 4)/2 + 4

2x + 12 - 8x = 3x + 2 + 4

solve

9x = 6

x = 6/9 --> 2/3

check over the process if i did this correctly lol

Answer:

0.8488 = 84.88% probability that it will be found by at least one test.

Step-by-step explanation:

Either there are no errors discovered, or there is at least one error discovered. The sum of the probabilities of these outcomes is 1.

Probabilities of no errors discovered:

If there is an error, these tests will discover it with probabilities 0.1, 0.2, 0.3, 0.4, and 0.5. So, of not discovering the errors, the probabilities are: 0.9, 0.8, 0.7, 0.6, 0.5.

The probabilities of none discovering the error is:

[tex]p = 0.9*0.8*0.7*0.6*0.5 = 0.1512[/tex]

(a) by at least one test

None: 0.1512

At least one: 1 - 0.1512 = 0.8488

0.8488 = 84.88% probability that it will be found by at least one test.

Answer:

544w + 11%

Step-by-step explanation:

544 is the number he started with, so if he increases 11% by w (the amount of weeks) then you will get your anwser based on the number of weeks he increases

Answer:

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54

The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

Answer:

18

Step-by-step explanation:

8+(2)(5)

=18

Answer:

18

Step-by-step explanation:

8 + (2×5)

=8 + 10

= 18

hope this will help you ☺✌

Answer:

x >= 9

x <= 32

x > -24

x > -5

x <= 10

x > -6

Step-by-step explanation:

first, write it down as inequalities:

5x >= 45

x/4 <= 8

x/-3 < 8

7x > -35

x/2 <= 5

3x > -18

then, solve the inequalities

5x >= 45

x >= 45/5

x >= 9

x/4 <= 8

x <= 8*4

x <= 32

x/-3 < 8

x > 8 * -3

x > -24

7x > -35

x > -35/7

x > -5

x/2 <= 5

x <= 5*2

x <= 10

3x > -18

x > -18/3

x > -6

Answer:

[tex]\begin\\\begin{tabular}{|l|l|l|l|l|l|}x&0&1&2&4&Sum\\P(x)&0.33&0.40&0.20&0.07&1.00\end[/tex]

Step-by-step explanation:

From the question we are given the table

[tex]\begin\\\begin{tabular}{|l|l|l|l|l|} &&y \\x &0&1&2&3\\0 &0.13&0.1&0.07&0.03 \\1&0.12&0.16&0.08&0.04\\ 2&0.02&0.06&0.08&0.04\\ 3&0.01&0.02&0.02&0.02\end[/tex]

Generally the marginal probability mass function of X is mathematically given as

[tex]P(x)=\sum P(x,y)>y[/tex]

[tex]\sum P(0)=0.13+0.1+0.07+0.03=0.33\\\sum P(1)=0.12+0.16+0.08+0.04=0.40\\\sum P(2)=0.02+0.06+0.08+0.04=0.20\\\sum P(3)=0.01+0.02+0.02+0.02=0.07[/tex]

Therefore marginal probability mass function of X

[tex]\begin\\\begin{tabular}{|l|l|l|l|l|l|}x&0&1&2&4&Sum\\P(x)&0.33&0.40&0.20&0.07&1.00\end[/tex]

Answer:

A

Step-by-step explanation:

48x^2-8x-18x=3

8x(6x-1)-3(6x-1)

(8x-3)(6x-1)

8x-3

Answer:

Step-by-step explanation:

48x2 - 26x + 3

48x2 - 18x - 8x + 3

6x( 8x - 3) - 1(8x - 3)

(8x - 3) and (6x - 1) are the factors

Option A is the correct answer

Answer:Tess, sorry im a week late

Step-by-step explanation: ):

Answer:

likely

because there are 12 blue marbles more then others

Answer:

Step-by-step explanation:

Use Pythagorean Theorem for a right triangle.

a^2 + b^2 = c^2

3.6^2 + 4.8^2 = c^2

c = 6cm

The length of y (Hypotenuse) is 6 cm.

We have,

Perpendicular = 3.6 cm

Base = 4.8 cm

Hypotenuse = y

Using Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

So, y² = 4.8² + 3.6²

y²= 23.04+ 12.96

y²=

y= √36

y= 6 cm

Thus, the value of y (Hypotenuse) is 6 cm.

Learn more about Pythagoras theorem here:

https://brainly.com/question/21926466

#SPJ2

Answer:

The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).

Step-by-step explanation:

To find the interval, we can just make the conversion of the values from pounds to kilograms.

Each kilogram has 2.2 pounds. So, to realize the conversion from pounds to kilograms, we divide by 2.2.

Confidence interval: (102.3 pounds, 106.5 pounds).

102.3 pounds = 102.3/2.2 = 46.5 kilograms

106.5 pounds = 106.5/2.2 = 48.41 kilograms

The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).

Answer:

if 220=30%

100%=?

220×100÷30

=$733.333

Answer:

The x-intercept is [tex]\frac{1}{8}[/tex]

The y-intercept is -1

Step-by-step explanation:

Lets find x-intercept:

for y substitute 0

4x+0=12x-1

subtract 4x both sides

0=8x-1

add 1 both sides

1=8x

divide 8 both sides

[tex]\frac{1}{8}[/tex]=x

lets find y-intercept:

for x substitute 0

4(0)+y=12(0)-1

multiply 4(0) and 12(0) which would equal 0 in this case, you dont have to write the 0s.

y=-1

Hopefully it helps

Answer:

You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time

Step-by-step explanation:

We use the following relation to solve the question:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

First 15 minutes:

Time of 15 minutes = 0.25 hour, so [tex]t = 0.25[/tex]

Velocity of 5 miles per hour. So the distance is of:

[tex]d = vt = 5*0.25 = 1.25[/tex]

Final 15 minutes:

The will need to drive 10 - 1.25 = 8.75 miles in 15 minutes = 0.25 hours. So, the average speed will need to be of at least:

[tex]v = \frac{d}{t} = \frac{8.75}{0.25} = 35[/tex]

You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time

Answer:

14% decrease

Step-by-step explanation:

they making me write more since I'm ambitious

Answer:

4.6-t

4.6-3.1

THAT EQUALS

1.5

SOOO 1.5 IS U ANSWER

Step-by-step explanation:

Step-by-step explanation:

=4.6-t

=4.6-3.1

=1.5

hope it helps.

Answer:

c maybe i think. tell me if its right

Answer:

−x+y+1

Step-by-step explanation:

Answer:

C. 30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

3 bags in each of 2 toy boxes. 3x5=15. That Would be the answer but he has 2 toy boxes go he has 6 bags. 15x2=30 or 15+15=30

Answer:

5,477.63

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 6%/100

r = 0.06 per year,

Then, solve our equation for P

P = A / (1 + r/n)nt

P = 5,500.00 / (1 + 0.06/4)(4)(0.068448)

P = 5,500.00 / (1 + 0.015)(0.273792)

P = $ 5,477.63

Summary:

The principal investment required to get

a total amount of $ 5,500.00

from compound interest at a rate of 6% per year

compounded 4 times per year

over 0.068448 years

is $ 5,477.63.

** i got this from calculator soup

Answer: Mark me brainliest..

Step-by-step explanation: and imma put the answer inside the comments if you do so. youve got nothing to lose! :D

9514 1404 393

Answer:

  y = 1400 -140x

Step-by-step explanation:

In the first two months, Zachary paid ...

  1400 -1120 = 280

so 280/2 = 140 per month. This is the amount that the balance decreases each month from the starting balance of $1400.

Zachary's balance (y) can be modeled as ...

  y = 1400 -140x

Answer:

6/7 mile

Step-by-step explanation:

1/7 = 10

?= 10x6

1/7 x 6= 6/7

Answer:

y= 2/1x

Step-by-step explanation:

1. Mark two points on the coordinate place (1,2) (2,4)

2. Subtract y1 from y2 and x1 from x2

(1, 2)   1

(2, 4)   2

4-2 y, 2-1 x

3. Put y on top of x as a fraction after you've subtracted it (2/1)

4. y= 2/1x

i think this is right...maybe?

Answer:

A. 4

Step-by-step explanation:

Constant of proportionality (k) = y/x

We can use the coordinates of any point on the line to find k.

Let's use (2, 8)

Constant of proportionality (k) = 8/2

Constant of proportionality (k) = 4

Answer:

21,656

Step-by-step explanation:

Answer:

the percent error is -17.2%

Step-by-step explanation:

The computation of the percent error is shown below:

As we know that

Percent error is

= (Experimental value - theoretical value) ÷ (theoretical value)

= (4.8 - 5.8) ÷ (5.8)

= -17.2%

Hence, the percent error is -17.2%

Answer: 4(x−5)

Step-by-step explanation:

I think this is right. If it’s not Im sorry. But if it is hope this helps!