Two glasses of milk and 3 snack bars have a total of 54 carbohydrates​ (carbs), and 4 glasses of milk and 2 snack bars have a total of 68 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

Answer:

66.66%

Step-by-step explanation:

The first model is the one you should use here as 24 and 18 are multiples of 3, this means that there is eight students in each group

That means that 18/24 is equal to 2/3 so the percentage of students that like to dance is 66.66%

For the function S(t) = -35t + 30 , the correct interpretation is that the car has an initial speed of 30 units and is slowing down by 35 units per second , the correct option is (c) .

The function S(t) = -35t + 30 represents the changing speed of the car as a function of time.

The coefficient of time "t" is -35, which represents the rate of change of speed with respect to time, also called as acceleration.

The negative sign indicates that the car is slowing down.

The constant term is 30, which represents the initial speed of the car at time t=0.

So, the car starts with an initial speed of 30 units.

Therefore , the correct interpretation is denoted in Option(c) .

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The given question is incomplete , the complete question is

The changing speed of a car is modeled by the function S(t) = -35t + 30, where t is time in seconds. Interpret the model

(a) The car has an initial speed of 0 units and is speeding up to a speed of 30 units by 35 units per second.

(b) The car has an initial speed of 35 units and is speeding up by 30 units per second.

(c) The car has an initial speed of 30 units and is slowing down by 35 units per second.

(d) The car has an initial speed of 30 units and is speeding up by 35 units per second.

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

Answer:

$21.75

Step-by-step explanation:

Convert 50% markup into decimal

1.5

then calculate

14.50 × 1.5

21.75

Cost of oil change with markup is $21.75

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Based on the diagram, there are 8 triangles in total

A triangle is a polygon with three sides and three angles.

Therefore, there are 8 triangles in the diagram.

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Answer:

1.93

Step-by-step explanation:

5.71 - 3.8 = 1.93

Answer:

1.93

Step-by-step explanation:

The probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.

The given data is

x 1 2 3 4 5 6 7 8

p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01

(a) calculate mean value of x:

μ = E(x)

  = ∑(xi.P(xi))

 = 4.13

(b)  calculate variance of x:

σ² = ∑(xi - E(x))².P(xi)

   = 1.81331

(c)  calculate standard deviation of x:

σ = √σ²

σ = √1.831

σ = 1.3539

The likelihood that the quantity of systems sold will be within one standard deviation of the its mean:

P(μ  - σ < x < μ  + σ ) = P(4.13 - 13539 < x < 4.13 + 1.3539)

                                = P(2.7761 < x < 5.4839)

                                = P(x = 3) + P(x = 4) + P(x = 5)

                                = 0.13 + 0.30 + 0.31

                                = 0.74

Thus, the probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.

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The complete question is-

Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one month is given by the following table.

x 1 2 3 4 5 6 7 8

p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01

What is the probability that the number of systems sold is within 1 standard deviation of its mean value?

Answer:

V = 4/3 π (12)³

Step-by-step explanation:

The volume of a sphere is:

V = 4/3 π r³

where r is the radius.

Here, the ball has a diameter of 24 cm.  Radius is half the diameter, so r = 12.

V = 4/3 π (12)³

Answer:

(B) Process mean is not within statistical control. There are points above and below the control limits. There is a shift upward.

Step-by-step explanation:

Gradpoint

The correct answer is A) 3.14 is the approximate ratio of the circumference to the diameter of a circle, rounded to the nearest hundredth.

This is due to the fact that the circle's circumference to diameter ratio, often known as pi, is roughly equal to 3.14.

A circle's circumference divided by its diameter is known as pi, and it is a mathematical constant.

Thus, the ratio of circumference to diameter will always be equal to pi, regardless of the size of the circle.

Hence, the circumference to diameter ratio of a circle, rounded to the closest hundredth, is approximately 3.14.

Complete Question:

Liza measures the circumferences and diameters of different circles and records them in a table. What is the approximate ratio of the circumference to the diameter of a circle, rounded to the nearest hundredth?

Options:

A) 3.14

B) 6.28

C) 12.56

D) None of the above

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Answer:

The line meeting the criteria is y = (1/2)x + 6 does not match any of the answer options.

Step-by-step explanation:

Let's use the slope-intercept form of a linear equation:  y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).  We are given the slope, (1/2), so let's put that into the equation:

   y = (1/2)x + b

It is the value we choose for b that will make the line pass through point (6,-3).  We can determine that value by entering the given point in the equation and then solving for b:

y = (1/2)x + b

-3 = (1/2)*(6) + b for point (6,-3)

-3 = 3 + b

b = -6

The full equation is thus y = (1/2)x + 6

See the attached graph.

===

The `list of options doesn't have an equation that matches this conclusion.  The first two aren't even equations.  Assuming for the moment they are mistyped and should have an "=" sign after the y, we will change the list as follows:

Original   New

y-2x+6     y=2x+6

y-1x-6       y=1x-6

y=2x-3     y=2x-3

y=x+3      y=x+3

The slopes are either +1 or +2.  None have the required slope of (1/2)

To solve for p, we have to use inversal operations to solve equations, multiplication and division are inverse operations, power and roots are also inverse operations, then:

Answer:

The answer is A. -2/7

Step-by-step explanation:

The probability that a randomly selected person will have an IQ score of less than 80 is approximately 0.0918, or 9.18%

To find the probability that a randomly selected person will have an IQ score of less than 80, we need to consider the properties of the normal distribution, as IQ scores typically follow a normal distribution with a mean (μ) of 100 and a standard deviation (σ) of 15.

1. Calculate the z-score: The z-score represents the number of standard deviations a data point is from the mean. Use the formula:

z = (X - μ) / σ

where X is the IQ score, μ is the mean, and σ is the standard deviation.

z = (80 - 100) / 15
z = -20 / 15
z = -1.3333

2. Look up the z-score in a standard normal distribution table or use a calculator to find the corresponding probability. In this case, the probability is 0.0918.

Therefore, the probability that a randomly selected person will have an IQ score of less than 80 is approximately 0.0918, or 9.18% when rounded to four decimal places.

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The total amount earned this week is 12x - 15

From the question, we have the following parameters that can be used in our computation:

Number of hours = x

Rate per hour = $12

Late delivery charge = $15

The total amount of earning is the difference between the total actual earnings number and late delivery charges

This is represented as

Total = Number of hours x Rate per hour - Late delivery charge

Substitute the known values in the above equation

So, we have the following equation

Total = x * 12 - 15

Evaluate

Total = 12x - 15

The above equation cannot be further simplified

Hence, the expression is 12x - 15

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To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles.

To calculate the number of tiles needed for a room, follow these steps:

To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles. By measuring the length and width of the room, you can calculate the total area of the floor or wall that needs to be tiled. This is done by multiplying the length by the width.

Next, you should determine the size of the tiles you plan to use. This could be in square meters or square feet depending on your measurement preference. Knowing the area of one tile will allow you to calculate how many tiles are needed to cover the entire room. You can do this by dividing the total area of the room by the area of one tile.

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The standard normal distribution  becomes smaller.

What is standard deviation?

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller.

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Answer:

one is correct.

Step-by-step explanation:

because it have one solution when you graph it

Answer:

One solution (2.25,1.75)

Step-by-step explanation:

Well first we need to graph the following

\(y=3x-5\)

\(y=-x+4\)

So look at the image below.

So looking at the image below we can tell that the system only has one solution (2.25,1.75).

Answer:

50,000

Step-by-step explanation:

10*5,000=50,000

Answer: 50,000

Step-by-step explanation:

10× 5,000= 50,000

Or

Just add one zero to 5,000 :)

Hope this helps :)

While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip A.

Let's start solving the expression using the product to sum formulae.

Here's the given expression,

\[\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3}\]

Using the product-to-sum formula,

\[\sin A \cos B=\frac{1}{2}[\sin (A+B)+\sin (A-B)]\]

Applying the above formula in the first term,

\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3} &= \frac{1}{2} \left[\sin \left(\frac{x}{3}+\frac{2 x}{3}\right)+\sin \left(\frac{x}{3}-\frac{2 x}{3}\right)\right] \\&= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]\end{aligned}\]

Using the product-to-sum formula,

\[\cos A \sin B=\frac{1}{2}[\sin (A+B)-\sin (A-B)]\]

Applying the above formula in the second term,

\[\begin{aligned}\cos \frac{x}{3} \sin \frac{2 x}{3}&= \frac{1}{2} \left[\sin \left(\frac{2 x}{3}+\frac{x}{3}\right)-\sin \left(\frac{2 x}{3}-\frac{x}{3}\right)\right] \\ &= \frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right]\end{aligned}\]

Substituting these expressions back into the original expression,

we have\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} &= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]+\frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right] \\ &=\frac{1}{2} \sin x + \frac{1}{2} \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\\ &= \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\end{aligned}\]

Therefore, the given expression can be written in terms of a single trigonometric function as:

\boxed{\sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)}

Hence, the required expression is \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right). The solution is complete.

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Answer:

D. X = 130 in.

Step-by-step explanation:

a² +b² =c² (Pythagorean theorem)

50² + 120²=c²

2,500 + 14,400 =c²

16,900 = c²

√16900 = √c²

130 = c

X = 130 in.

Answer:

2

Step-by-step explanation:

Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.

The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.

The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.

Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.

Full question:

Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.

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a^4+b^4=(a^2)^2+(b^2)^2

=(a^2+b^2)^2–2a^2b^2

=(a^2+b^2)^2—(√ 2ab)^2

=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)

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Answer: 1

Yessssssssssssssss

Answer: 15.867 min

Step-by-step explanation:

Given

Ben took \(1\ h\ \text{and}\ 23\ min\ 12\ s\) to complete 15 km

While Mike take \(1\ hr\ 39\ min\ 4\ s\) to complete the same

converting time into miniutes

Ben time

\(\Rightarrow 60+23+\frac{12}{60}=83.2\ min\)

Mike time

\(\Rightarrow 60+39+\frac{4}{60}=99.0667\ min\)

So, mike waited for

\(\Rightarrow 99.067-83.2=15.867\ min\)