8/x = 12/30 Solve for x

The probability of overfilling a 34 ounce cup from the soft drink machine, we can use the properties of the normal distribution. The probability of overfilling a 34 ounce cup is approximately 0.0228, rounded to four decimal places.

Given that the machine's output is normally distributed with a mean of 26 ounces and a standard deviation of 4 ounces, we want to calculate the probability that the cup contains more than 34 ounces. To do this, we need to standardize the cup size using the formula z = (x - μ) / σ, where x is the cup size, μ is the mean, and σ is the standard deviation.

In this case, we have z = (34 - 26) / 4 = 2.

Next, we need to find the probability corresponding to a z-score of 2. We can look up this probability in the standard normal distribution table or use a calculator.

Using either method, we find that the probability of a z-score of 2 or greater is approximately 0.0228.

Therefore, the probability of overfilling a 34 ounce cup is approximately 0.0228, rounded to four decimal places.

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Answer:

Percentage Calculator: 9 is what percent of 12? = 75.

The  probability of getting at least 12 successes is approximately 0.035, or 3.5% (rounded to the nearest tenth of a percent).

This is a binomial distribution problem with $n=90$ trials and probability of success $p = 1/6$, since getting a six on a single roll is a success. We are interested in finding the probability of getting at least 12 successes.

To calculate this probability, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring. In this case, the event of interest is getting at least 12 successes, so the complement event is getting 11 or fewer successes.

We can use the binomial probability formula to calculate the probability of getting 11 or fewer successes:

$P(X \leq 11) = \sum_{k=0}^{11} {90 \choose k} \left(\frac{1}{6}\right)^k \left(\frac{5}{6}\right)^{90-k} \approx 0.965$

Therefore, the probability of getting at least 12 successes is:

$P(X \geq 12) = 1 - P(X \leq 11) \approx 0.035$

So the probability of getting at least 12 successes is approximately 0.035, or 3.5% (rounded to the nearest tenth of a percent).

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Work Shown:

5% = 5/100 = 0.05

5% of 42 = 0.05*42 = 2.10

tax = $2.10

total cost including tax = $42 + $2.10 = $44.10

----------

An alternative is to multiply 42 by 1.05 to get

1.05*42 = 44.10

We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.

We insert m and c values inside the slope-intercept form to get a linear equation that expresses the volume of water in the bottle in terms of t:  w = 5t + 5.

Let w be the quantity of water in the bottle after turning on the faucet.

The following points can be drawn from the provided statement:

(t1, w1) = (4, 25)

(t2, w2) = (11, 60)

The equation of a line's slope-intercept form is:

w = mt + c

Put the values to find slope m.

m = (w2 - w1)/(t2 -t1)

m = 60 - 25 / 11 - 4

m = 5

Put m = 5, t = 4 and w = 2 in equation of the line;

w = mt + c

25 = 5(4) + c

c = 5

We insert m and c values inside the slope-intercept form to get a linear equation that expresses the volume of water in the bottle in terms of t:

w = 5t + 5

Thus, the linear equation that models the amount of water in the bottle  is w = 5t + 5.

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The linear equation that gives the rule for this table is y = -5x + 15

The table of values is given as:

x y

1 10

2 5

3 0

4 –5

On the above table, we can see that:

As x increases by 1, the value of y decreases by 5

This means that the slope is

Slope = -5

Also, the above table can be modified as follows (using the slope of -5)

x y

0 15

1 10

2 5

3 0

4 –5

This means that the y-intercept is

y-intercept = 15

A linear equation is represented as

y = slope * x + y-intercept

So, we have

y = -5x + 15

So, the equarion is y = -5x + 15

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Answer:

5 units

Step-by-step explanation:

Since The X coordinate of a point P on X axis is 4 and the y coordinate of a point Q on y axis is 3 the points are

P (4 , 0) and Q(0 , 3)

The formula to calculate distance between two points

\(PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\PQ=\sqrt{(0-4)^2+(3-0)}\\PQ=\sqrt{(4)^2+(3)^2}\\PQ=\sqrt{16+9} \\PQ=\sqrt{25} \\PQ=5\ units\ \\\)

IMPORTANT!

As we take the square root of 25 we get two values +5 and -5 we always take the positive value because distance can never be negative.

First, set the coordinate points on a graph, and joint them to form a graph

By looking at the graph we can see that:

width : 3

length: 6

Area of a rectangle : Length x width : 6 x 3 = 18

There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.

A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.

In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.

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Answer:191/94 i hope this helps!!(✿◠‿◠)

The midpoint of the segment connecting z1 and z2 is -1.5 - 10i on the complex plane.

To find the midpoint of the segment connecting two complex numbers, we can use the average of their real and imaginary parts.

Let's find the real and imaginary parts of z1 and z2:

z1 = 3 - 17i

Real part of z1 = 3

Imaginary part of z1 = -17

z2 = -9 - 3i

Real part of z2 = -9

Imaginary part of z2 = -3

To find the midpoint, we take the average of the real and imaginary parts separately:

Midpoint (real) = (Real part of z1 + Real part of z2) / 2

= (3 + (-9)) / 2

= -3 / 2

= -1.5

Midpoint (imaginary) = (Imaginary part of z1 + Imaginary part of z2) / 2

= (-17 + (-3)) / 2

= -20 / 2

= -10

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Let a = units of A produced

Let b = units of B produced

At least 30 units of product A and 10 units of product B are required daily, and the maximum number of units per day should not exceed 80.

Therefore

a ≥ 30

b ≥ 10

a + b ≤ 80

Product A yields a profit of $15 and product B yields a profit of $8.

Therefore the objectve profit function is

P(a,b) = 15a + 8b

Answer:

The objective function is

P(a,b) = 15a + 8b, subject to

a >= 30;  b>= 10;  a+b <= 80

Create a graph that displays the constraints and calculates maximum profit at the boundary points. The solution region is shaded.

The maximum profit occurs when a=70 and b=10.

Answer:

P= 15a + 8b

Step-by-step explanation:

The volume of the parallelepiped formed by the vectors AB, AC, and AD as adjacent edges is 4 cubic units.

The volume of the parallelepiped formed by the vectors AB, AC, and AD as adjacent edges can be calculated using the scalar triple product formula.

The scalar triple product of three vectors u, v, and w is defined as u . (v x w), where x represents the cross product of the vectors. The absolute value of the scalar triple product gives the volume of the parallelepiped formed by the three vectors.

In this case, the vectors AB, AC, and AD are given by:

AB = (2-1, -3+1, 2-4) = (1, -2, -2)

AC = (-1-1, -2+1, 2-4) = (-2, -1, -2)

AD = (4-1, 3+1, -6-4) = (3, 4, -10)

Taking the scalar triple product of these three vectors:

V = |AB . (AC x AD)|

= |(1, -2, -2) . (-6, -4, -5)|

= |-6 + 8 + 10|

= 4

Therefore, the volume of the parallelepiped formed by the vectors AB, AC, and AD as adjacent edges is 4 cubic units.

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Answer:

X=21

Y=3

Z=21

BD=42

Step-by-step explanation:

X=21 (diagonals of a rectangle bisect each other)

Y=3. 21=7y

÷7

Y=3

Z=21 (diagonals of a rectangle bisect each other)

BD=X+Z

=21+21

=42

Answer:

ProvideD :

To FinD :

SolutioN :

\( \longrightarrow \tt \: a = 1000(1 + \frac{2}{100} )^{4} \)

\( \longrightarrow \tt \: a = 1082.43216\)

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The original slope's reciprocal will be the opposite of the perpendicular slope. To determine the intercept, b, enter the supplied point and the new slope into the slope-intercept form (y = mx + b). Rewrite the following equation in standard form: ax + by = c.

The values of the slope and y-intercept provide details on the relationship between the two variables, x and y. The slope shows how quickly y changes for every unit change in x. When the x-value is 0, the y-intercept shows the y-value.

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the slope of the line in our equation, y = 6x + 2, is 6.

The slope is m and the y-intercept is b in the equation y=mx+b in slope-intercept form. Some equations can also be rewritten so that they resemble slope-intercept form. For instance, y=x can be written as y=1x+0, resulting in a slope and y-intercept of 1 and 0, respectively.

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It could be in quadrant I or III

Since I is all positive and III is all negative

Answer:

\(\huge\boxed{0.24\ to\ 0.08=\dfrac{3}{1}}\)

Step-by-step explanation:

\(0.24\ to\ 0.08\to\dfrac{0.24}{0.08}=\dfrac{0.24\cdot100}{0.08\cdot100}=\dfrac{24}{8}=\dfrac{24:8}{8:8}=\dfrac{3}{1}\)

Step-by-step explanation:

78.50 in^2 I am pretty sure

Answer:

78.50 in squared

Step-by-step explanation:

To find the area of a circle, you need to use the equation area = pi * r^2, or pie multiplied by the radius squared. The radius is half of the diameter, which means the radius is 5. 5 squared is 25. Pi times 5 is about 78.50 inches squared.

Answer:

23/12

Step-by-step explanation:

Answer:

10-7 = 3/4  -15+8= -7/6

7/6 x 2 both numbers = 14/12

3/4 x 3 both numbers = 9/12

9 +14 is 23/12

Answer is 3/4 and -7/6

Answer:

y = 4

Step-by-step explanation:

2x = y+ 8

x + 2y = 14

x = 14 - 2y

2 * (14 - 2y) = y + 8

28 - 4y = y + 8

y + 4y = 28 - 8

5y = 20

y = 4

x = 14 - 2*4 = 6

Answer:

y=4

Step-by-step explanation:

I took the test.

Let's calculate the total cost of all the items purchased by the computer club:

Cost of 14 portfolios = 14 * $24.59

Cost of 14 binders = 14 * $12.92

Cost of 14 school sweatshirts = 14 * $14.00

Cost of 14 music cases = 14 * $1.25

Cost of 14 phone cases = 14 * $1.99

Cost of 14 mouse pads = 14 * $2.14

Total cost of all items = Cost of 14 portfolios + Cost of 14 binders + Cost of 14 school sweatshirts + Cost of 14 music cases + Cost of 14 phone cases + Cost of 14 mouse pads

Plugging in the given values:

Total cost of all items = (14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14)

Now, the computer club will pay for 40% of the total cost. To calculate this, we can multiply the total cost by 40% (or 0.40):

Club's payment = 0.40 * Total cost of all items

The remaining cost will be divided equally among the 14 members:

Remaining cost per member = (Total cost of all items - Club's payment) / 14

Plugging in the values and calculating:

Club's payment = 0.40 * ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14))

Remaining cost per member = ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14) - Club's payment) / 14

So, each member of the computer club will owe the calculated value for "Remaining cost per member".

Hope this is good

Step-by-step explanation:

Given data

initial mileage=24,033 miles.

cost to fill tank=$83.38

cost per gallon= $3.79

1. capacity of tank=83.38/3.79=22 gallons

remianing gas= 1/4*22= 5.5gal

gas used= 22-5.5= 16.5gal

new mileage= 24,297 miles.

mile covered= 24,297 miles.-24,033 miles.

=264miles

miles per gallon is =264/16.5

=16miles per gallon

Answer:

Sure!

Step-by-step explanation:

10 - 12 = -2

because 10 is less than 12 and 12 is being taken out of 10 instead of the other way.

Step 1. First, read the digits to the left of the decimal point as a whole number.

Step 2. Say and for the decimal point.

Step 3. Read the digits to the right of the decimal point as a whole number

Step 4. Say the place name of the last digit.

In your case 7.75 in word form is seven and seventy five hundredths.

Answer: seven and seventy five hundredths.

Seven and seventy five hundredths. Is the word form

7 + 0.70 + 0.05 =7.75 Is it in Expanded form.

Hope this helps please mark brainliest

Answer:

7.75×100=775

Step-by-step explanation:

Seven hundred and seventeen five

The value of a painting has increased steadily over time.

This means that as time increases, the value of the painting is also increasing.

A simple linear graph can be used to represent this situation.

As you can see from the graph, as time increases, the value also increases.

Notice that the graph does not start from the zero value that is because we assume that it must have some starting value.

Answer:

4.25

Step-by-step explanation:

Multiply each multiple choice by 6 until you get the given total.

4.25 × 6 = 25.5

Composition of functions is when one function is used as the input for another function.

Composition of functions is the process of combining two functions to form a new one. An example of this is the combination of the functions f(x) = x2 and g(x) = x+1. The new function created by this composition is given by h(x) = (x+1)2. This can be expressed in formula form as h(x) = f(g(x)).  For example, let’s say we have two functions, f(x) = x + 1 and g(x) = x2. We can find the composition of these two functions, f(g(x)), which would be equal to x2 + 1. This can be written as f(g(x)) = (x2 + 1). We can also calculate this composition. If x = 2, then f(g(2)) = 22 + 1 = 5. As another example, if we have h(x) = x3 and i(x) = 3x2, then the composition h(i(x)) = (3x2)3 = 27x6. For x = 2, then h(i(2)) = 272 = 729. As these examples show, composition of functions is a powerful tool in mathematics that can be used to quickly calculate complex equations

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