The heights of women aged 20-29 in the United States are
approximately Normal with mean 64.1 inches and standard
deviation 3.7 inches. Men the same age have mean height
69.4 inches, with standard deviation 3.1 inches.
Cheryl D. Fyar et al., "Anthropometric reference data for children and adults:
United States, 2011-2014, Val and Health Statistics, Series 3, no. 39 (August
2016), at www.ode govchs. This report provides the means of various
anthropometric measurements. Standard deviations were computed from the
sample size and reported standard errors of the mean. Instructions on
measuring upper arm length are in the National Health and Nutrition
Examination Survey: Anthropometry Procedures Manual, January 2007.
M
B
O
Surat pen
What is the z-score for a woman 5.5 feet tall? Give your
answer to two decimal places.
-1.16
Incorrect
N
Sep 8
10:28

Answer:3/4 * 1/5 = 3/20 = 0.15

Step-by-step explanation:Multiple: 3/

4 * 1/5 = 3 · 1/4 · 5 = 3/20

Multiply both numerators and denominators. The result fraction keep to the lowest possible denominator GCD(3, 20) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three quarters multiplied by one-fifth is three twentieths.

Answer:

25

Step-by-step explanation:

80% got A orB  out of 100% so

20 students are 80% of the class

we need 20% to find all 100% so

80%/4=20% and 20/4=5 students represent 20%

100%= 80%+20% =20students+5students=25 students

Answer:

Step-by-step explanation:

4(x-3)2-5 = 139

(4x-12)-5=139

-20x + 60 = 139

-20x +60 - (60) = 139- 60

-20x = 79 divide both sides by -20

x = -3.95

Answer:

25 cups per hour that should be it

18

Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

7x−3=18

Step 1: Add 3 to both sides.

7x−3+3=18+3

7x=21

Step 2: Divide both sides by 7.

7x/7 = 21/7

x=3

Answer:

0

Step-by-step explanation:

-9+3+3+3=0

the answer is d because i did the math

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\( {4}^{4} \times {a}^{5 \times 4} \times {b}^{6 \times 4} = \)

\(256 \times {a}^{20} \times {b}^{24} = \)

\(256 {a}^{20} {b}^{24} \)

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Thus the correct answer is the last one.

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By using the BODMAS rule, Where

B stands for the bracket, O stands for of, D stands for division, M stands for multiplication, A stands for addition, and S stands for subtraction

so ,now

\([45-(25+8)]*18\\\)

\([45-33]*18\\=216\\\)

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Answer:

Step-by-step explanation:

[45- (25+8)] X 18 =

[45 - (25 + 8)] × 18 =

[45 - 33] × 18 =

12 × 18 =

216

The statement suggests undefined term, defined term, axlom/postulate, theorem are given below.

Postulates are ideas suggested or accepted as a basic principle before a further idea is formed or developed from it.

Undefined Terms refers to those terms which usually do not require any formal definition.

1. Money can't buy happiness. undefined term

2. Things that coincide with one another are equal to one another. Postulates

3. Collinear points are points on the same line. Postulates

4. The sum of the measures of the 3 interior angles of a triangle is 180°. theorem

5. Margie supports her answer with a statement that includes ideas about planes. undefined term

6. O is a natural number. defined term

7. In his two-column proof, he was able to prove that the statement is true. defined term

8. Margie uses the GPS of her android phone to locate Gaisano Capital Danao while on her way there. The GPS shows a red dot. to represent the location of Gaisano Capital Danao. undefined term

9. If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent. postulate

10. A triangle is a 3-sided plane figure whose sides are formed by 3 line segments. ​ postulate

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The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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\(\dfrac{x+4}{3} =7\)

Multiply both sides by 3:

\((\dfrac{x+4}{3} )\times3=(7)\times3\)

\(x+4=21\)

Subtract 4 from both sides:

\(x+4-4=21-4\)

\(\boxed{x=17}\)

Given:

Find: the value (x,y)

Sol:

Substitute the value of "y" in another equation than:

Put the value in the above equation.

So,

Answer:

A 4 side dice.

Step-by-step explanation:

Benjamin has 4 possible homerooms with the same probability. This means that every homeroom has a 1/4 = 0.25 (or 25%) probability of getting chosen.

You could emulate this situation with a 4 sided dice (are like little pyramids) where each side of the dice would represent the selection of one of the homerooms.

Answer: 7x-5

Step-by-step explanation:

We write the problem like this- 10x-9-3x+4. Combine the like terms, so 10x-3x is 7x and -9+4 is -5. Combine the two solutions. 7x-5. That's your answer!

Subtracted \(3x+4\) from \(10x-9\) is \(7x-13\)

How do subtract \(3x+4\) from \(10x-9\) the following:

Put parentheses

\((3x+4)\); \((10x-9)\)

Subtract (10x-9) by 3x+4

\((10x-9)-(3x+4)\\\text{remove the parentheses then it follows}\\10x-9-3x-4\\\text{calculate the same terms}\\10x-3x-9-4\\\text{calculate}\\(10-3)x-13\\7x-13\)

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is \(s = 12 \ gallons\)

Step-by-step explanation:

From the question we are told that

  The  number of milk drinkers considered is  \(m = 100\)

   The  number of skim milk drinkers \(n = 50\)

     The  gallons of milk supplied is  q =  23 gallons

Generally the proportion of skim milk drinkers is mathematically represented as

    \(p = \frac{n}{m}\)

    \(p = 0.5\)

Generally the gallons of milk order that is skim milk is mathematically represented as

       \(s = 0.5 * 23\)

=>     \(s = 12 \ gallons\)

Answer:

227826

i used a calculator

18 x 12,657= 227,826

Please comment if you have further questions to this problem.

Answer:

answer is in the picture.

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer: 400

Step-by-step explanation:

560 divided by 7 is 80

80 times 5 is 400

or x/560=5/7

560 divided by 7 is 80

x/560=5x80/7times 80

x/560=400/560

x=400

hope this helps

Answer:

d

Step-by-step explanation:

range is how far the graph goes from bottom to top.

Using the Empirical Rule, it is found that 84% of the students have grade point averages that are less than 2.96.

It states that, for a normally distributed random variable:

In this problem, 2.96 is one standard deviation above the mean. We have that:

Hence the percentage is given by:

P = 50% + 0.68 x 50% = 50% + 34% = 84%.

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The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

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Answer:

50

Step-by-step explanation:

7,750÷155=50

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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