The Medassist Pharmaceutical Company uses a machine to pour cold medicine into bottles in such a way that the standard deviation of the weights is 0.15 oz. A new machine is tested on 71 bottles, and the standard deviation for this sample is 0.12 oz. The Dayton Machine Company, which manufactures the new machine, claims it fills the bottles with less variation. At the 0.05 significance level, test the claim made by the Dayton Machine Company.

Answer:

0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Visited Busch Gardens.

Event B: Visited Sea World.

The probability of visiting Busch Gardens is 40%

This means that [tex]P(A) = 0.4[/tex]

The probability of visiting Sea World given that they visited Busch Gardens is 60%

60% of 40%, which means that:

[tex]P(A \cap B) = 0.6*0.4 = 0.24[/tex]

The agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%.

This means that [tex]P(A \cup B) = 0.7[/tex]

Te agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

This is P(B).

These probabilities are related by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Replacing the values

[tex]0.7 = 0.4 + P(B) - 0.24[/tex]

[tex]0.16 + P(B) = 0.7[/tex]

[tex]P(B) = 0.54[/tex]

0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

Answer:

Step-by-step explanation:

Answer:

m < -4

Step-by-step explanation:

-3m - 4 > 8

add four to each side

-3m > 12

divide each side by -3 (since you are dividing by a negative the sign changes from > to <)

m < -4

Answer:

m<-4

Step-by-step explanation:

1. -3m-4>8

2. -3m>12 (add four to both sides)

3. m<-4 (divide by -3 on both sides, since you are dividing by a negative number your sign flips)

Answer: A: (6, 5)

Step-by-step explanation:

When graphing a system of equations, you can find the solution by finding where the graphs intersect. In this case, the graphs intersect at (6, 5).

To verify that this is indeed a solution to the system of equations, we can substitute (6, 5) into both of the given equations:

[tex]y = \frac{1}{2}x + 2[/tex]

[tex]5 = \frac{1}{2} * 6 + 2[/tex]

[tex]5 = 3 + 2[/tex]

[tex]5 = 5[/tex]

[tex]y = x - 1[/tex]

[tex]5 = 6 - 1[/tex]

[tex]5 = 5[/tex]

Since both equations hold true when plugging in the given coordinate (6, 5), we know that this is a solution to the system of equations.

Answer:

D. f(x) = 2^x

Step-by-step explanation:

2^0 = 1

2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16

The base is always 2. The exponent changes and is x.

Answer: D. f(x) = 2^x

Answer:

x = 10

Step-by-step explanation:

it has 8 sides so:

total interior angle degrees = (180° x 8 sides) - 360° = 1080°

11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°

combine like terms:

32x + 760° = 1080°

subtract 760° from both sides of the equation:

32x = 320°

divide both sides by 32:

x = 10

Answer:

4 divided by 10 is 40% 3 divided by 10 is 30 percent

Step-by-step explanation:

for red there would be 40 percent probability and green and blue both have 30% probability.

Answer:

3

Step-by-step explanation:

ABC

Acb

Bac

Bca

Cab

Cba

This looks like 6 but if you look close, 3 are duplicates

Answer:

35 (C)

Step-by-step explanation:

Answer:

B) 30

Step-by-step explanation:

This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.

Answer:   777654

Step-by-step explanation:

lol

Answer:

10%

Step-by-step explanation:

you would do 50/5 because all the sections are even so you would get 10%.

Answer:

isn't 656 already a base-ten number?

Step-by-step explanation:

i'm confused (。_。)

Answer:

x=9

Step-by-step explanation:

x/3+5=8

x/3=8-5

x/3=3

(x/3)*3=3*3

x=9

double check

9/3+5=8

3+5=8

8=8

Answer:

x=9

Step-by-step explanation:

[tex]\frac{x}{3}+5=8\\[/tex]

[tex]\frac{x}{3}=3[/tex]  subtract 3 from each side

[tex]x=9[/tex] multiply each side by 3

thats it!! :D

Answer:

81 min I think

Step-by-step explanation:

Answer:

[tex](-1, 3)[/tex]

Step-by-step explanation:

Given

See attachment for ABCD

Options:

[tex](-1, 3)\ \ \ (0,3)\ \ \ (1,5)\ \ \ (2,5)[/tex]

From the attachment:

[tex]A = (-6,1)[/tex]

[tex]B = (4,5)[/tex]

Required

Coordinates on AB

First, calculate the slope of AB

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{5-1}{4--6}[/tex]

[tex]m = \frac{4}{10}[/tex]

[tex]m = 0.4[/tex]

Next,, calculate the equation as:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 0.4(x - -6) + 1[/tex]

[tex]y = 0.4(x +6) + 1[/tex]

[tex]y = 0.4x +2.4 + 1[/tex]

[tex]y = 0.4x +3.4[/tex]

Taking the options one at a time: (-1, 3)

[tex]x = -1\ \ y =3[/tex]

Test these values in the equation

[tex]y = 0.4 * -1 + 3.4[/tex]

[tex]y = -0.4 + 3.4[/tex]

[tex]y =3[/tex]

Hence, this point lie on AB

Answer:

The two numbers are 6 and 10.

Step-by-step explanation:

First, you have to form equations. With the given informations, let x be the larger number and y be the smaller number, the equations will be :

x - y = 4

3x + y = 36

Next, you have to solve the simultaneous equations :

x - y = 4 ---------- (1)

3x + y = 36 ------- (2)

(2) + (1)

3x + y + x - y = 36 + 4

4x = 40

x = 10

Substitute x = 10 into (2)

3(10) + y = 36

30 + y = 36

y = 36 - 30

y = 6

Answer:

800 cubic inches

Step-by-step explanation:

We will use the formula= V=lwh or Volume= length times width times height

so, Volume=5inches times 8 inches times 20 inches

so, volume= 5 times 8 times 20

=40 times 20

=800 cubic inches

Answer:

800

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

To multiply two polynomials, multiply every term of one polynomial by every term of the other polynomial. Then collect like terms.

Multiply p^2 by each term of the second polynomial. Then multiply q^2 by each term o the second polynomial.

[tex] (p^2 + q^2)(p^4 - pq - q^4) = [/tex]

[tex] = p^6 - p^3q - p^2q^4 + p^4q^2 - pq^3 - q^6}

There are no like terms to collect, but we can arrange the product in descending order of the power of q.

[tex] = p^6 + p^4q^2 - p^3q - p^2q^4 - pq^3 - q^6 [/tex]

Answer: C.

Answer:

173 - 124 = then do thatb divided by each seat 2

Step-by-step explanation:

Answer:

(9³×m)3

Step-by-step explanation:

Hope it helps you

Answer:

d) A[n] = A[n=1] - 2 (Your selected answer is correct)

Step-by-step explanation:

Think of the formula as:

new number = previous number minus 2

Answer:

-134/9

Step-by-step explanation:

Answer:

2.12%

Step-by-step explanation: So in a 52 card deck, there are 13 hearts, so our probability of drawing a heart on the first try is 13/52, but this 3 decks, so you pretty much just add

Answer:

1.56%

Step-by-step explanation:

there 52 cards in a deck and 13 of those are hearts. 13/52*13/52*13/52 That equals 2,197/140,608. Then divide both by 2,197 and you get 1/64. Turn it into a percent and it's 1.56%

13/52 is also 25% so you could do 25% * 25% * 25% and you get .015625 and move the decimal two places to turn it into a percent 01.5625%

Answer:

86

Step-by-step explanation:

Answer: 86

Step-by-step explanation:

Answer:

Volume = l*w*h

Equation: 1620 = 9*9*h

1620=81h

h=20 cm