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3 years ago

If a 24-oz bottle of water costs $2.16,what is the cost per ounce

1 answer:

5 0

The cost per ounce can be found by taking the cost and dividing it by the total number of ounces. So 2.16/24=.09. Therefore, each ounce costs $0.09.

You might be interested in

Which of the following is not a congruence theorem or postulate A. ASA B. SSS C. SAS D. AAA

natka813 [3]

Answer:

D. AAA is not a congruence postulate

Step-by-step explanation:

6 0

3 years ago

A circle is centered at the origin (0,0) and has a radius of 4 units. Which points on the circle have an x-coordinate of 1? (You

abruzzese [7]

Answer: (1, √15) and (1, -√15)

Step-by-step explanation:

A circle centered at the point (a, b) of radius R can be written as:

(x - a)^2 + (y - b)^2 = R^2

In this case we have:

"A circle is centered at the origin (0,0) and has a radius of 4 units"

Then the equation for this circle is:

x^2 + y^2 = 4^2 = 16.

Now, we want to find the points where x = 1, then we can replace that value and solve the equation for y.

1^2 + y^2 = 16

1 + y^2 = 16

y^2 = 16 - 1 = 15

y = +-√15

Then the two points that have the x-coordinate equal to 1 are:

(1, √15) and (1, -√15)

7 0

3 years ago

Find the dimensions of a rectangle whose width is 6 miles less than it’s length and whose are is 55 square miles.

SSSSS [86.1K]

area = width * length

A = W * L

55 = W * (W+6)

solve for width:

0 = W^2 + 6W - 55

this is a quadratic and has two solutions -11 and 5

a length can only be non-negative so discard -11.

width W = 5 miles

now the length is 5+6 = 11 miles

6 0

3 years ago

Read 2 more answers

General Hospital has noted that they admit an average of 9 patients per hour.

serious [3.7K]

Answer:

(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.

(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.

Step-by-step explanation:

The complete question is: General Hospital has noted that they admit an average of 8 patients per hour.

(a) What is the probability that during the next hour less than 3 patients will be admitted?

(b) What is the probability that during the next two hours exactly 8 patients will be admitted?

The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

$P(X = x) = \frac{e^{-\lambda} \times \lambda^{x} }{x!} ; x = 0,1,2,......$

Here X = Number of patients admitted in the hospital

$\lambda$ = arrival rate of patients per hour = 9 patients

So, X ~ Poisson( $\lambda$ = 9)

(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\frac{e^{-9} \times 9^{0} }{0!} + \frac{e^{-9} \times 9^{1} }{1!} + \frac{e^{-9} \times 9^{2} }{2!}$

= $e^{-9} +(e^{-9} \times 9)+ \frac{e^{-9} \times 81}{2}$

= 0.00623

(b) Here, $\lambda = 9 \times 2$ = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.

So, X ~ Poisson( $\lambda$ = 18)

Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)

P(X = 8) = $\frac{e^{-18} \times 18^{8} }{8!}$

= 0.00416

3 0

3 years ago

Which equation could be used to find the height of the flagpole?

Andrew [12]

Given a fragpole which makes a right angle with the point of observation with the angle of elevation as 50°.

Let x be the height of the flagpole, then

$\sin50^o= \frac{x}{5}$

Therefore, the equation that could be used to find the height of the flagpole is
x/5 = sin 50

6 0

3 years ago