The average American man consumes 9.7 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 grams. Suppose an American man is
randomly chosen. Le X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.

b. Find the probability that this American man consumes between 10.5 and 11.2 grams of sodium per day? ____

c. The middle 20% of American men consume between what two weights of sodium?
Low:
High:

Answer:

178.5

Step-by-step explanation:

21×8.50 is 178.5 just that

Answer:

6x-18

x=-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

j

Answer: The first three odd prime numbers are 3, 5, and 7. A number is a multiple of two but not three of these prime numbers if it is divisible by two of them, but not the third.

To find the number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers, we can count the number of multiples of each pair of prime numbers and subtract the number of multiples of all three prime numbers.

There are 200 multiples of 3 and 5 between 1000 and 2000 (200 numbers for each, for a total of 200 * 2 = 400). There are 133 multiples of 3 and 7 between 1000 and 2000 (133 numbers for each, for a total of 133 * 2 = 266). There are 80 multiples of 5 and 7 between 1000 and 2000 (80 numbers for each, for a total of 80 * 2 = 160). There are no multiples of all three prime numbers between 1000 and 2000.

Thus, the total number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers is 400 + 266 + 160 = 826.

Step-by-step explanation:

Answer:

Height of the cone = 5 cm

Step-by-step explanation:

Volume of the rectangular prism with a cone shaped hole = Volume of the rectangular prism - Volume of the cone

Volume of the rectangular prism = Length × Width × Height

                                                       = 5 × 5 × 7

                                                       = 175 cm³

Volume of the cone = \(\frac{1}{3}\pi r^{2}h\)

Here, r = Radius of the cone

h = Height of the cone

Volume of the cone = \(\frac{1}{3}\pi (\frac{3}{2})^{2}(h)\)

                                 = 0.75πh cm³

Volume of the rectangular prism with a hole = 163.22 cm³

175 - 0.75πh = 163.22

0.75πh = 175 - 163.22

0.75πh = 11.78

h = 5 cm

0.3193 is the probability of your 73% surity that at least seven of these people can read and write ( are not illiterate ).

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. A probability is a number between 0 and 1, where 1 indicates certainty and 0 indicates impossibility of the event.

p = 0.73

q = 1 - p = 1 - 0.73 = 0.27

n = 8

Using binomial probability formula ,

P(X = x) = (n C x) * px * (1 - p)n - x

P(X > 7) = (8 C 7) * 0.737 * (0.37)8-7  +(8 C 8) * 0.738 * (0.37)8-8

              =  0.238624 + 0.080646

Probability = 0.3193  

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Answer: the answer is b

Step-by-step explanation:

Answer:

Oh im doing my star 360 test rn too!

Step-by-step explanation:

Answer:

1) D. \(y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10\)

2) E. The coefficient of \(x\) is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form \(p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}\), where \(n\) is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

\(y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10\)

Correct answer: D

2) Let \(p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)\), we proceed to expand the expression by algebraic means:

\(p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)\)

\(p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4\)

We see that coefficients for \(x^{2}\) and \(x\) are -16 and 0, respectively. Hence, the incorrect answer is E.

Answer:

548

Step-by-step explanation:

First, the sides:

7 × 12 = 84

84 × 2 = 168

7 × 10 = 70

70 × 2 = 140

10 × 12 = 120

120 × 2 = 240

Add:

168 + 140 + 240

 ^         ^

     308  +  240

            548  

Hope this helped.

Answer:

The surface area of the rectangular prism is 548\(ft^{2}\)

Step-by-step explanation:

To find the surface area of the rectangular prism you need to use the formula

A=2(wl+hl+hw)

Answer to question commented:

The surface area of the other rectangular prism is 430\(ft^{2}\)

Hope this helps!

Approximately 9.63% of the energy consumed by the person would be derived from protein.

To calculate the percentage of energy derived from protein, we need to first convert the amount of protein consumed from grams to calories. Protein provides approximately 4 calories per gram. Therefore, 65 grams of protein would provide:

65 grams * 4 calories/gram = 260 calories

This gives us 260 calories from protein.

To find the percentage of energy derived from protein, we can divide the calories from protein by the total calories consumed and multiply by 100:

260 calories / 2700 calories * 100% ≈ 9.63%

Therefore, approximately 9.63% of the energy consumed by the person would be derived from protein.

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Carol consumed the whole nine-ounce package of grapes. if there are 60 calories per 3 ounce serving. 180 calories are included in 6 ounces of carol.

To calculate the probability of an occurrence, divide the total number of outcomes by the total number of possible outcomes. There are differences between probability and odds. Odds are calculated by dividing the likelihood that a circumstance will occur by the likelihood that it won't. Probability is a statistic used to assess the likelihood that an event will take place. When we toss the coin in the air, the probability that it will land with the heads side up is calculated. Here is a practical use of probability that you are probably already familiar with. We always check the weather forecast before a significant outing.

Since there are \(60\) calories in \(3\) ounces of ice cream

No of calories in \(1\) ounce of carol eat \(=60/3\)

Thus, the no of calories in \(9\) ounces of grapes\(=\) No of calories in \(1\) ounces of carol eat \(*9\)

= The no of calories in \(6\) ounces of carol eat \(= 20*9= 180\)

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Answer:

−72x2+18?

Step-by-step explanation:

The measures of the supplementary angles of equations 5x - 31 and 9x - 55 are 64 degrees and 116 degrees respectively.

Supplementary angles are angles whose measures add up to 180 degrees. In this case, we have two supplementary angles with measures 5x - 31 and 9x - 55.

To find the value of x, we can set the sum of the angle measures equal to 180 degrees: (5x - 31) + (9x - 55) = 180.

Next, we can simplify the equation by combining like terms: 14x - 86 = 180.

Adding 86 to both sides, we have 14x = 266.

Dividing both sides by 14, we get x = 19.

Now that we have the value of x, we can substitute it back into the expressions for the angle measures: 5x - 31 and 9x - 55.

Substituting x = 19 into 5x - 31, we have 5(19) - 31 = 95 - 31 = 64.

Substituting x = 19 into 9x - 55, we have 9(19) - 55 = 171 - 55 = 116.

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Answer:

78

Step-by-step explanation:

do 9x8= 72

then 72+6=78

A new company wants to offer a line queuing service where customers book someone to wait in line on their behalf through a smart phone app.

The possibility that no one wants to pay someone else to wait in line can be represented by the concept of probability.

The probability of an event occurring is defined by probability.

The outcome of an event may be known to us or unknown to us. When this happens we say that there is a chance that the event will happen or not.

We can identify probability by simply dividing the favorable number of possibilities by the entire number of possible outcomes.

Hence, probability is a numerical representation of the chance that a specific event will take place.

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It is crystal size and rock texture.

Volcanic rocks are another name for extrusive rocks. According to their texture and mineral or chemical makeup, igneous rocks are categorized. The rate of cooling affects the texture of the rock. The crystals grow larger as the rock cools more slowly.

Thanks,

As the last answer for today.

Happy Thanksgiving

- Eddie E.

Answer:

35cm

Step-by-step explanation:

The ratio of width:length is 10/19. Since the given length is 66cm long, we multiply by the ratio to get 66 x 10/19 = 34.7 = 35cm

a) If Kristin has traveled 4 meters along the path of the Ferris wheel then the angle has swept out 0.5 radians.

b) If Kristin has traveled 45 meters along the path of the Ferris wheel then the angle has swept out 5.625 radians.

c) The formula that expresses the number of radians θ the angle has swept out in terms of the number of meters is θ = s / r.

a. To determine the angle in radians, we can use the arc length formula for a circle. The formula is given by θ = s / r, where θ is the angle in radians, s is the arc length, and r is the radius of the circle.

In this case, Kristin has traveled 4 meters along the path of the Ferris wheel, and the radius is 8 meters.

Thus, the angle swept out is

θ = 4 / 8 = 0.5 radians.

b. Following the same approach, if Kristin has traveled 45 meters along the path of the Ferris wheel, the angle swept out is

θ = 45 / 8 ≈ 5.625 radians.

c. The formula that expresses the number of radians θ the angle has swept out in terms of the number of meters Kristin has traveled since the ride started is given by

θ = s / r,

where θ is the angle in radians, s is the arc length traveled by Kristin, and r is the radius of the Ferris wheel.

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Answer:

W in green and down should be 4

Step-by-step explanation:

what I mean is Water divided by 4 equal sugar

Answer:

The answer is D

Step-by-step explanation:

The Line is going up at the same rate, continuesly, that is what makes it proportional.

An equation of the line that passes through the points (3, 0) and (8, -2) is y - 0 = -2/5(x - 3).

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data points (3, 0), a linear equation of this line in slope-intercept form can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 0 = (-2 - 0)/(8 - 3)(x - 3)

y - 0 = -2/5(x - 3)

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the numbers are 1.25in and the other one is 0.75in.

Answer:

answer 67.98

explanation= ; built different

we have, the diagonal bisect each other, therefore

answer: x = 12

The total surface area of the cylinder is 8195.4 square inches.

Given that, a hay bale with a diameter of 30 inches and a height of 72 inches.

Here, radius = 30/2 = 15 inches

We know that, the total surface area of a cylinder is 2πr(r + h).

Here, surface area of a cylinder = 2×3.14×15(15+72)

= 2×3.14×15×87

= 8195.4 square inches

Therefore, the total surface area of the cylinder is 8195.4 square inches.

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Answer:

I believe the answer is 1195 dollars

Step-by-step explanation:

The most appropriate measure of center is the mean which describes the average weight of oranges.

For the given data:

5,6,7,7,8,8,10,11,11,14,16,19,20,21

The most appropriate measure of center from the data given is the mean. The mean value gives the average weight of the oranges in the scenario given above.

The mean can be calculated thus :

(Sum of weight / Number of values)

Mean = (163 / 14)

Mean = 11.64

Hence, the most appropriate measure of center is the mean and it describes the average weight of oranges.

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Answer:

y+2=1/2(x+3)

Why?

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)

Answer:

first and third

Step-by-step explanation:

Consider

y = \(\frac{1}{2}\) x + 3 ( multiply through by 2 )

2y = x + 6 ← third equation

Answer:

the first and last equation

Step-by-step explanation: