the weight of adult european men is normally distributed with a mean of 170 lbs and a standard deviation of 20 lbs. suppose men with weight over 210 lbs are medically categorized as obese then what per cent of adult american men are obese? hint: use 68-95-99.7% rule.

Total capacity the tower holds 1.034 x 10^5  gallons of water

One tower holds 8.4 x 10^3 gallons of water

Other tower holds 9.5 x 10^4 gallons of water

The combined water capacity of the two towers in scientific notation is,

Total capacity the tower holds = 9.5 x 10^4 + 8.4 x 10^3

    = 9.5 x 10^4 + 0.84 x 10^4

    = 10.34 x 10^4

    = 1.034 x 10^5

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The smallest possible values for "a" and "b" that satisfy these conditions are when a = 1 and b = 3. This is because 1 is the smallest factor of 15, and 3 is the smallest multiple of 3.

What is integers?

The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.

Let's call the two unknown numbers as "a" and "b"

Since "a" is a factor of 15, the possible values for "a" are 1, 3, 5, and 15.

Since "b" is a multiple of 3, the possible values for "b" are 3, 6, 9, 12, 15, and so on.

The smallest possible values for "a" and "b" that satisfy these conditions are when a = 1 and b = 3. This is because 1 is the smallest factor of 15, and 3 is the smallest multiple of 3.

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Answer:

The length of the wing is 480 centimeters

Step-by-step explanation:

2 cm on the drawing is 192 cm on the acutal wing

2 = 192

divide both sides by 2

1 = 96

since the drawing has a length of five cm, multiply both sides by 5

5 = 480

therefore, 5 cm on the drawing is equal to 480 cm on the actual wing

The solution is, 76,000 mg chlorine is in the pool.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

The pool has 2.5 milligrams of chlorine per liter of water.

There are 8000 gallons of water in the swimming pool.

we know,

1 gallon = 3.785 liters

Water in pool = 8000 x 3.785

Water in pool = 30,280 liters

so, we get,

Chlorine dosage = 2.5 mg / liter

Chlorine = 2.5 x 30,280

Chlorine = 75,700 mg

To the nearest thousand milligram:

Chlorine = 76,000 mg

Hence, The solution is, 76,000 mg chlorine is in the pool.

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The numeric value of the expression c = 5a + 6b is given as follows:

c = 759.5.

The expression in this problem is defined as follows:

c = 5a + 6b.

To obtain the numeric value of the expression, the values of a and b have to be known, and they are discovered solving the system of equations presented as follows:

In standard format, the system is given as follows:

Multiplying the first equation by 6 and the second by -5, we have that:

Adding the two equations, we have that the variable b is given as follows:

-2b = -119

b = 119/2

b = 59.5.

Then the variable a is obtained as follows:

5a + 8 = 7(59.5) - 6

a = (7(59.5) - 6 - 8)/5

a = 80.5.

Thus the numeric value of the expression is given as follows:

c = 5(80.5) + 6(59.5)

c = 759.5.

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Answer:

Step-by-step explanation:

I think this is which are in y=mx+b/ So, the ones that are correct would be B

I

m not sure tho... PLEASE MARK BRAINLIEST!!!

Answer:

Please see below.

Step-by-step explanation:

Standard form equations are like the following:

ax - by = c

a, b, and c are the numbers, and x and y are the variables.

Let's look at your case.

Here are the equations that fit into the category:

4x + 1/2y = -9

9x - 2y = -6

-x + y = 2 (I'll have to look deeper into that though)

Hope this helps!

Let me know if I've gotten anything incorrect :)

Answer: Mr. Strand mowed most of the lawn, and 7/20 of the lawn still needs to be mowed.

Step-by-step explanation:

Part 1:

We can use change the fractions so that they have equivalent denominators. The Least Common Denominator that the two fractions have is 20.

2/5 = 8/20.

1/4 = 5/20.

Because of this, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn.

Part 2:

8/20 + 5/20 = 13/20. Therefore, 7/20 of the lawn still needs to be mowed.

In conclusion, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn. 7/20 of the lawn still needs to be mowed.

Answer:

Step-by-step explanation:

0.65 of the lawn was mowed

Answer:

He plowed 50 rows.

Step-by-step explanation:

Use proportions

1/4 = x/200

then cross multiply to find x.

4x=200  

Divide both sides by 4

x= 50

He plowed 50 rows.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

50 fields.  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Number of Fields Plowed:}}\\\\\rightarrow200*(\frac{1}{4})\\\\\rightarrow\boxed{50}\)

⸻⸻⸻⸻

The farmer should of plowed 50 fields.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

For a standard normal distribution, a negative value of z indicates that the observed value is below the mean of the distribution.

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, a negative value of z indicates that the observed value is located below the mean. The z-score represents the number of standard deviations a data point is away from the mean.

A negative z-score means that the observed value is lower than the mean, indicating that it falls to the left of the center of the distribution. This means that the data point is relatively lower compared to the average and can provide information about its position within the distribution and its deviation from the mean.

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Answer:  (a-b+c)²-(b-c+a)²​

=((a-b+c)) - ((b-c+a)) ((a-b+c)) - ((b-c+a))

= (a-b+c-b+c-a) ( a-b+c+b-c+a)

= (-2b + 2c ) (2a)

= (2( -2b/2+2c/2)) (2a)

=(2(-b+c)) (2a)

=2(-b+c) (2a)

The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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Answer:

5200 - 2677 - 543 = 1980

1980 + 3220 = 5200

We have 5200 total and we are subtracting 2677 and 543. 2677 + 543 = 3220. So 5200 - 3220 is 1980 just like 5200 - 2677 - 543. And we know to check with adding by doing 1980 + the ammoument we subtracted which is 3220. SO, 1980 + 3220 = 5200.

To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.

Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.

Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.

To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:

d/dx (2πr^3) = 6πr^2 = 0

This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.

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Answer: its (4f 5) ^3

Step-by-step explanation:

Answer:

\(x=-2\\x=2\)

(You only need to give one solution)

Step-by-step explanation:

We have the following equation

\((x^2+1)^2-5x^2-5=0\)

First, we need to foil out the parenthesis

\(x^4+2x^2+1-5x^2-5=0\)

Now we can combine the like terms

\(x^4-3x^2-4=0\)

Now, we need to factor this equation.

To factor this, we need to find a set of numbers that add together to get -3 and multiply to give us -4.

The pair of numbers that would do this would be 1 and -4.

This means that our factored form would be

\((x^2-4)(x^2+1)=0\)

As the first binomial is a difference of squares, it can be factored futher into

\((x^2+1)(x+2)(x-2)=0\)

Now, we can get our solutions.

The first binomial will produce two complex (Not real) solutions.

\(x+2=0\\\\x=-2\)

\(x-2=0\\\\x=2\)

So our solutions to this equation are

\(x=-2\\x=2\)

Answer:

610° and 970°

Step-by-step explanation:

to find coterminal angle add/ subtract 360° to the terminal angle.

in this case 2 positive measures are required to add 360°, that is

250° + 360° = 610° ( add 360° to this value )

610° + 360° = 970°

the next 2 positive coterminal angles are 610° and 970°

B. y=5x+14

You can first find the gradient (m) of the line by using the equation m= Y2-Y1 / X2-X1.

(-2 ,4) (-3,-1)

I'll take -1 as Y2

4 as Y1

-3 as X2

-2 as X1

m= -1 - 4 /-3 - (-2) =5

so 5 is the gradient ...

Then, take any of the two coordinates and substitute in the equation y=mx+c and find C value

If u take (-2 ,4)

Y= 4 , X= -2 , m=5 (we found)

Y=mx+C

4= 5×-2 +C

C=4+10

so C =14

Then we get the answer with the gradient m = 5 and C =14

Y =5X + 14

Answer:

Hence, since z ( - 0.4 ) is greater than ( -1.65 );

we reject H₀, Null hypothesis,

Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program.

Step-by-step explanation:

Given the data in the question;

Let p = 50% = 0.5

Hypothesis;

Null hypothesis            H₀ : p ≥ 0.5

Alternative hypothesis H₁ : p < 0.5

x = 48

sample size n = 100

sample proportion p" = x / n = 48 / 100 = 0.48

significance value = 0.5

\(Z_\alpha\) = -1.65

Test Statistics;

z = (p" - p) / √( p( 1 - p ) / n )

we substitute

z = (0.48 - 0.5) / √( 0.5( 1 - 0.5 ) / 100)

z = -0.02 / √( 0.25 / 100 )

z = -0.02 / √0.0025

z = -0.02 / 0.05

z = -0.4

Hence, since z ( - 0.4 ) is greater than ( -1.65 );

we reject H₀, Null hypothesis,

Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program

4x-y>-3

-y>-3-4x

y<3+4y

please mark me as brainlist and be

Answer:

23 kids

Step-by-step explanation:

Answer:

9/8

Step-by-step explanation: Done the problem before in my math class.

Answer:

9/8

Step-by-step explanation:

Candance ate 3/4

Serving is 2/3

Divide: 3/4 divided by 2/3

To divide fractions you multiply the inverse.

3/4 x 3/2 = 9/8  

Hope this helps :)

All the real values of p such that 2(x - 4)(x - 2p) has a minimum value of -18 over all real values of x is p = 1 and p = -5.

Given that:

2(x + 4)(x - 2p)

It is required to find the values of p such that this expression has a minimum value of -18.

Expand the given expression.

2(x² + 4x - 2px - 8p)

2(x² + (4 - 2p)x - 8p)

2x² + (8 - 4p)x - 16p

The minimum value of the function can be found by first, setting the derivative equal to 0.

Differentiating,

4x + (8 - 4p) = 0

4x = 4p - 8

x = p - 2

Substitute x = p - 2 to the function 2(x + 4)(x - 2p).

When the value of the function is -18,

2(p - 2 + 4)(p - 2 - 2p) = -18

2(p + 2)(-p - 2) = -18

(p + 2)(-p - 2) = -9

(p + 2)² = 9

p + 2 = ±3

When p + 2 = 3, p = 1.

When p + 2 = -3, p = -5.

Hence the p values are 1 and -5.

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Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

The height of the cone is 10 cm when the volume is 60 cm³ and the base area is 20 cm².

The given problem states that the volume of a cone (V) varies jointly as the area of the base (B) and the height (h). Mathematically, this can be expressed as V = k * B * h, where k is a constant of variation.

To find the value of k, we can use the given information: V = 32 cm³ when B = 16 cm² and h = 6 cm. Plugging these values into the equation, we have 32 = k * 16 * 6. Solving for k gives us k = 32 / (16 * 6) = 1/3.

Now we can use this value of k to find the height when V = 60 cm³ and B = 20 cm². Plugging these values into the equation, we have 60 = (1/3) * 20 * h. Simplifying further, we get 60 = (20/3) * h. To solve for h, we can multiply both sides of the equation by 3/20, which gives us h = (60 * 3) / 20 = 9 cm.

Therefore, when the volume is 60 cm³ and the base area is 20 cm², the height of the cone is 9 cm.

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The 95% confidence interval interpretation is as follows:

The 95% confidence interval means that  we can be 95% confident that the true population mean systolic blood pressure falls within the range (114 mmHg, 120 mmHg).

However, it is important to note that the confidence interval does not tell us with certainty where the true population mean systolic blood pressure lies, only where it is likely to be.

If we obtained a different set of 100 patients, we would likely obtain a different confidence interval. This is because the sample mean and standard deviation used to compute the interval would be different. However, if the new sample is still a representative sample of the same population, we would expect the confidence interval to be similar in width and location.

If we wanted a 99% confidence interval, the interval would be wider. This is because a higher confidence level requires a wider interval to be able to capture the true population mean with a higher degree of confidence.

The exact width of the interval would depend on the sample size and standard deviation used to compute it.

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Answer:

D

Step-by-step explanation:

Answer:

x=-2, y=-6

Step-by-step explanation:

Simple substitution.

Since y is isolated in one of the equations already, you can plug it into the second equation.

x - 2(3x) = 10

x - 6x = 10

-5x = 10

x = -2

Sub. x = -2 into 3x = y:

3(-2) = y

y = -6

The mode of the given data is Independents.


1. Identify the frequencies of each group: Republicans (47), Democrats (49), Independents (52).
2. Determine the group with the highest frequency: Independents have the highest frequency (52).
3. The mode is the group with the highest frequency: Independents.


The mode represents the most frequently occurring value in a dataset. In this case, we have 47 Republicans, 49 Democrats, and 52 Independents. The group with the highest frequency is Independents with 52, making it the mode.


After comparing the frequencies of Republicans, Democrats, and Independents, we can conclude that the mode of the given data is Independents, as they have the highest frequency (52) among the three groups.


The mode is a measure of central tendency that shows the most frequently occurring value in a dataset. In the given data, we have three groups: 47 Republicans, 49 Democrats, and 52 Independents. To find the mode, we need to identify the group with the highest frequency. In this case, Independents have the highest frequency with 52. Thus, the mode of the given data is Independents.

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