connie poured 200 milliliters of juice into a glass from a juice carton. She then poured 225 milliliters into a second glass. What is the final change in the volume of the carton?

Answer:

[tex]P(Green\ or\ Red) = 0.30[/tex]

Step-by-step explanation:

Given

[tex]White = 40[/tex]

[tex]Green = 24[/tex]

[tex]Red = 12[/tex]

[tex]Yellow = 24[/tex]

[tex]Blue = 20[/tex]

Required

[tex]P(Green\ or\ Red)[/tex]

The total numbe of candy is:

[tex]Total = 40 + 24 + 12 + 24 + 20[/tex]

[tex]Total = 120[/tex]

This probability is calculated as:

[tex]P(Green\ or\ Red) = P(Green) + P(Red)[/tex]

For each, we have:

[tex]P(Green\ or\ Red) = \frac{Green}{Total} + \frac{Red}{Total}[/tex]

Take LCM

[tex]P(Green\ or\ Red) = \frac{Green+Red}{Total}[/tex]

[tex]P(Green\ or\ Red) = \frac{24+12}{120}[/tex]

[tex]P(Green\ or\ Red) = \frac{36}{120}[/tex]

[tex]P(Green\ or\ Red) = 0.30[/tex]

Answer:

Weight before 18 month = 18 pound

Step-by-step explanation:

Given:

Current weight of dog = 14 pound

Weight lose each month = 2/9 pound

Total number of month = [tex]1\frac{1}{2}[/tex] year = 18 month

Find:

Weight before 18 month

Computation:

Total weight lose = Weight lose each month x Total number of month

Total weight lose = 2/9 x 18

Total weight lose = 4 pound

Weight before 18 month = Current weight of dog + Total weight lose

Weight before 18 month = 14 + 4

Weight before 18 month = 18 pound

Answer:

Width is 3

Step-by-step explanation:

_____________

/ / |

/ ______________/ |

2.5| | |

f | | |

e | | |

e | | |

t | | |

| | /

| | /

|______________|/ 3 feet

4 feet

Answer:

1/6

Step-by-step explanation:

1/3 x 1/2 = 1/6

In 2009- She paid $1900

She paid 16% more in 2010

16/100*1900=304

She paid $304 extra

$1900+$304

=$2204

Answer: In 2010 Tanvi paid $2204

Answer:

What is the average rate of change from x = −4 to x = 1? x= -4 x + 5

I'm not sure if I did this right.

Answer:

2

Step-by-step explanation:

[tex]1^2+x^2=\sqrt{5}^2[/tex]

[tex]x^2+1=5[/tex]

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

2 or -2

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that [tex]p = 0.2[/tex]

Suppose that sixteen adults in the United States are selected randomly.

This means that [tex]n = 16[/tex]

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]

[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]

[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]

[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

The length of arc GJ is equivalent to 26π/3 units.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Given is the value of 3 in 728.36.

In 728.36, the digit 3 is at tenths place. The digit 6 is at units place. We can say that the digit 3 is at tenths place in the decimal number 728.36.

Therefore, the digit 3 is at tenths place in the decimal number 728.36.

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Answer:

It's less than

Step-by-step explanation:

You have to add an extra 0 at the end of 2.31 to make it 2.310. From there it should be obvious that 2.310 is greater than 2.301. Therefore 2.301 is less than 2.31

Answer:

-54

Step-by-step explanation:

Answer:

I think B and D

Step-by-step explanation:

I’m not 100% sure tho

Answer:

8/20 and 15/20 and then you add to get 23/20 AKA       1   3/20

Step-by-step explanation:

Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8

Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15

Your final fractions will be 8/20 and 15/20

Then add and reduce to get 1 3/20

Step-by-step explanation:

If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,

f(f-1(x)) = x

So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then

f(K) = x

K/4 = x

K = 4x

But I want to recover f-1(x), so replace it back.

f-1(x) = 4x

Done

Answer:

4/6

Step-by-step explanation:

(1/6 times 4)make 4 into a fraction and that is 4/1  multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6

The expression that represents the fraction is 1/6 * 1/4 or 1/24

The given parameters are:

Amount of candy = 1/6 pounds

Number of bags = 4

The expression that represents the amount in each bag is:

Amount = Amount of candy/Number of bags

This give

Amount = 1/6 / 4

Express as product

Amount = 1/6 * 1/4

Evaluate

Amount = 1/24

Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24

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Answer:

(13, -67.4°)

Step-by-step explanation:

In the general case, for a point (x, y), the same point written in polar coordinates is (r, θ), such that:

r = √(x^2 + y^2)

θ = Atg(y/x)

Then if we have the point with coordinates (-5, 12)

The polar coordinates will be:

r = √((-5)^2 + 12^2) = 13

θ = Atg(12/-5) = -67.4°

Then the polar coordinates are:

(13, -67.4°)

Answer:

I think it is triangular prisim

Answer:

Triangular prism

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Probability of snowing on both Sunday and Monday= probability that it will snow on Sunday × probability that it will snow on Monday.

(and usually means multiply the probabilities while or implies addition of the probabilities).

Let probability of snowing on Monday be P

Hence 3/10=3/5× P

Hence P=(3/10) divided by (3/5) = 1/2

Answer: 67.725feet²

Step-by-step explanation:

A heptagon consist of 7 sides and Its area is calculated using the formula

= 1/2 × nsr

n = number of sides = 7

s = side length = 4.3

r = apothem = 4.5

Area = 1/2 × nsr

= 1/2 × 7 × 4.3 × 4.5

= 0.5 × 7 × 4.3 × 4.5

= 67.725feet²

Answer:

monday wednesday tuesday thursday

Step-by-step explanation:

edge 2020

Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.

A fraction represents a part of a whole.

Monday = [tex]3\frac{1}{3}[/tex]

Convert mixed fraction to improper 10/3

Decimal value 3.33

Tuesday = [tex]3\frac{2}{5}[/tex]

The improper fraction is 17/5

Decimal value 3.4

Wednesday = [tex]3\frac{3}{8}[/tex]

The improper fraction is 27/8

Decimal 3.375

Thursday = [tex]3\frac{1}{2}[/tex]

The improper fraction is 7/2 which is 3.5

Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.

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Answer:

a) σ  =  4933,64

b) CI 99%  = ( - 5746  ;  7194 )

c) No difference in brands

Step-by-step explanation:

Brand 1:

n₁   =  8

x₁   = 38222

s₁   = 4974

Brand 2:

n₂  = 8

x₂  = 37498

s₂  = 4893

As n₁  =  n₂  = 8       Small sample  we work with t -student table

degree of freedom      df  = n₁  +  n₂  - 2    df = 8 +8 -2  df = 14

CI = 99 %   CI  =  0,99

From  t-student table we find   t(c)  = 2,624

CI  =   (  x₁  -  x₂ ) ±  t(c) * √σ²/n₁   +  σ²/n₂

σ² = [( n₁  -  1 ) *s₁² +  ( n₂  -  1  ) * s₂² ] / n₁ +n₂ -2

σ² = 7* (4974)² + 7*( 4893)² / 14

σ² = 24340783       σ  =  4933,64

√ σ²/n₁  +  σ²/n₂     =  √ 24340783/8   +  24340783/8

√ σ²/n₁  +  σ²/n₂     =  2466

CI 99%  =  (  x₁  -  x₂ ) ± 2,624* 2466

CI 99%  =   724  ± 6470

CI 99%  = ( - 5746  ;  7194 )

As we can see CI 99% contains 0 and that means that there is not statistical difference between mean life of the two groups

Answer:

10 units

Step-by-step explanation:

Given data

P = (3, 1) and Q = (-3, -7)

x1=3

y1=1

x2= -3

y2= -7

The expression for the distance between two coordinate is

d=√((x_2-x_1)²+(y_2-y_1)²)

Substitute

d=√((-3-3)²+(-7-1)²)

d=√((-6)²+(-8)²)

d=√36+64

d=√100

d=10 units

Hence the distance is 10 units

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

[tex]p = \frac{k}{q^2}[/tex]

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

[tex]p = \frac{k}{q^2}[/tex]

[tex]25 = \frac{k}{3^2}[/tex]

[tex]k = 25*9 = 225[/tex]

So

[tex]p = \frac{225}{q^2}[/tex]

Determine p when q is equal to 5.

[tex]p = \frac{225}{q^2} = \frac{225}{5^2} = 9[/tex]

p = 9 when q = 5.

Answer:

The domain is (-2, 8, 3, 2)

Step-by-step explanation:

The domain is such because domain is the x-element or the one you see at first in the ordered pairs.

Answer:

1. The mean is 162 divided 6 = 27 which is like 27 x 6 = 162

2. So since 17 and 19 are in the middle of course you will have to add that together 17 + 19 = 36 but then you MUST ALWAYS divide by 2 which 36 divided by 2 = 18

3. Yes there is a outlier. and i believe it's 82

4. i believe the mean will be 80 but then divided by 5 will be 16

hope this helped :D

Step-by-step explanation:

Answer:

121 donuts in each box

Step-by-step explanation:

969 divided by 8 = 121.125

(Ignore the remainder)

Step by step solution:

We know that there are 969 doughnuts, and there are 8 doughnuts per box. What we need to find out is how many boxes of doughnuts were made.

Step 1:

Set up an equation for Number of doughnuts (969) / Number of doughnuts per box (8) = Number of boxes made (x), which would look like this:

969/8 = x

Step 2:

Doing this, we can get 121.125, which leaves us with

121.125 = x

121.125 = 121.125

Which gives us the answer of 121.125, which we can shorten to 121, as the decimal is not necessary.

Checking our answer:

We can check our answer simply be rewording our 1st equation to solve for the number of doughnuts made. This would give us the equation Number of doughnuts per box (8) * Number of boxes made (121.125) = x. Solving this equation would look like

8 * 121.125 = x

969 = x

969 = 969

Answer: By completing the steps above we get 121, and we can check our work by rewording the problem to solve for the number of Doughnuts. Good Luck!

Answer:

16/81-3/4[

=[16×4-3×81]/[81×4]=-179/324 is your answer

Answer:

i am also trying to figure out a

Step-by-step explanation: