How many fluid ounces in 8 ounces and 5 cups?

Answer:

[tex]150+25m = 500[/tex]    

Step-by-step explanation:

Given : Carlos has $50 in his savings account. He deposits $100 on his birthday, and then another $25 every month.

To Find: Which equation can be used to find the number of months it would take him to reach a balance of $500?

Solution:

Carlos has $50 in his savings account.

He deposits $100 on his birthday.

Let m be the number of months

He save $25 every month

So, he saves in x months = 25 m

Now wants to reach a balance of $500.

So, equation becomes:[tex]50+100+25m = 500[/tex]

                                    :[tex]150+25m = 500[/tex]    

Hence Equation can be used to find the number of months it would take him to reach a balance of $500 is [tex]150+25m = 500[/tex]    

The difference between given two polynomials is [tex](- x^{2} + 12x + 3)[/tex].

"A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables."

Given two polynomials are [tex](5x^{2} + 9x + 3)[/tex] and [tex](6x^{2} - 3x)[/tex].

Therefore, the difference between these two polynomials

[tex]= (5x^{2} + 9x + 3) - (6x^{2} - 3x)\\= (5x^{2} - 6x^{2}) + (9x + 3x) + 3\\= - x^{2} + 12x + 3[/tex]

Learn more about polynomial here:

https://brainly.com/question/21610884

#SPJ3

The probability that the number of likely voters who think that it is too easy to vote is​:

a) exactly​ three = 0.17422

(b) at least 4 = 0.70533

(c) less than eight = 0.96406

How to use binomial probability theorem?

The general formula for binomial probability theorem is:

P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾

Where:

n = 12

p = 0.37

(a) exactly three,

P(x = 3) = ¹²C₃ * 0.37³ * 0.93⁹

= 0.17422

(b) at least 4,

P(4 ≤ x ≤ 12) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + P(11) + P(12)

= 0.70533

(c) less than eight.

P(x < 8) = P(0) + P(1) + P(2) + P(3) + P(4) + P(5) + P(6) + P(7)

= 0.96406

Final answer:

For the given data, the median is 85, the first quartile is 37, the third quartile is 90.5, the interquartile range (IQR) is 53.5, and the range is 72.

Explanation:

The median in a dataset is the middle value when the values are arranged in numerical order. For the given data 27, 33, 34, 35, 37, 39, 40, 41, 54, 75, 84, 75, 90, 87, 99, 91, 85, 88, 76, 92, 94, after arranging them in ascending order, the median (Q2) is the value positioned at the center of the dataset. Since there are 21 values, the median is the 11th value, which is 85. The first quartile (Q1) is the median of the first half (lower half) of the dataset, which is the value in the 5.5th position, so we average the 5th and 6th values to get 37. Similarly, the third quartile (Q3) is the median of the second half (upper half) of the dataset, which would be the average of the 16th and 17th values, yielding 90.5. The interquartile range (IQR) is the difference between the third quartile and the first quartile, so IQR = Q3 - Q1 = 90.5 - 37 = 53.5. The range of the dataset is the difference between the maximum and minimum value which is 99 - 27 = 72.

Answer:

40,000 meters squared

Step-by-step explanation:

Find the optimum and constraint equations. (They are just fancy terms for the two equations you need).

The Constraint is 2x + 2y= 800 (As the plot is a normal rectangle and there is 800 m to make a fence, you would use the perimeter formula for a rectangle)

The optimum is xy= A. The area equals length times width (or in this case) xy.

You will need to plug in the simplified constraint into the optimum.

2y= -2x + 800 (divide by two next)

y= -x + 400

Plug in this to the Optimum

x(-x + 400)

this equals -xsquared + 400x

Find the derivative of it

-2x plus 400

Set it equal to )

x=200, this is only one of the lengths of the side.

In order to find the other, plug in x=200 to the constraint

-x + 400

-200 + 400

y = 200 also

So, going back to the Optimum 200 times 200 equals 40,000.

This means that the maximum area is in fact 40,000 meters squared.

Answer:  0.5

Step-by-step explanation:

Given :  The number of watches produced every hour is normally distributed with a mean of 500 and a standard deviation of 100.

i.e. [tex]\mu = 500\text{ and } \sigma= 100[/tex]

Let x be the number of watches produced every hour.

Then, the probability that in a randomly selected hour the number of watches produced is greater than 500 will be :

[tex]P(x>500)=1-P(x\leq500)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{500-500}{100})\\\\=1-P(z\leq0)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.5\ \ [\text{ By z-table}]\\\\=1-0.5=0.5[/tex]

Hence, the probability that in a randomly selected hour the number of watches produced is greater than 500 =0.5.

To determine the dosage of lincomycin for Clyde Dexter, his weight is first converted to kilograms (88.9 kg), then the prescribed dosage of 20 mg/kg is applied, resulting in a required dosage of 1778 mg.

To calculate the dosage of lincomycin for Clyde Dexter, we first need to convert his weight from pounds to kilograms. Knowing that there are approximately 2.20462 pounds in a kilogram, we can calculate his weight in kilograms. Following this, we will calculate the dosage of lincomycin required based on the prescribed 20 milligrams per kilogram of body weight.

Step 1: Convert Weight to Kilograms

Clyde’s weight in pounds: 196 lb

Conversion factor: 1 kg = 2.20462 lb

Clyde’s weight in kilograms: 196 lb / 2.20462 = 88.9 kg (approximately)

Step 2: Calculate Dosage

Prescribed dosage: 20 mg/kg

Clyde's weight: 88.9 kg

Required dosage of lincomycin: 88.9 kg * 20 mg/kg = 1778 mg

The calculated dosage of lincomycin for Clyde Dexter, based on his body weight, is therefore 1778 mg. This dose is to be mixed with 250 cc of normal saline solution and administered intravenously over a 1 hour period.

[tex] |\Omega|=8\cdot10=80\\ |A|=1\\\\ P(A)=\dfrac{1}{80} [/tex]

To round 1,563,385 to the nearest million, we look at the hundred-thousands digit (5), and since it's 5 or greater, we round up to 2,000,000.

To round off 1,563,385 to the nearest million, look at the hundred-thousands digit, which is 5 in this case.

If it is 5 or greater, we round up; if it is less than 5, we round down.

Since our hundred-thousands digit is 5, we round up, so 1,563,385 rounded to the nearest million is 2,000,000.

Answer:D.  y<5x+30/x

y>6x+25/x

Step-by-step explanation:

got right on edmentum