The average body temperature of all healthy adults is 98.6 F. A doctor takes a random sample of 100 healthy adults and records the temperature of each. The average temperature of these 100 adults is 98.2 F and the standard deviation is 6.9 F. Identify the values of the statistic and the parameter(s).

Answer:

k < 9

Step-by-step explanation:

Approximately 138.3 grams of the compound will remain after 8 hours. The decay of a radioactive compound is an exponential process, which can be modeled by the equation:

N(t) = N₀ * e^(-λt)

where N(t) is the amount of the compound remaining at time t, N₀ is the initial amount of the compound, λ is the decay constant, and e is the mathematical constant known as Euler's number.

To find the amount of the compound remaining after 8 hours, we need to plug in the given values into the equation above. We know that the initial mass of the compound is 260 grams, and the decay rate is 3.8% per hour, which means that the decay constant λ is equal to 0.038. Therefore, the equation becomes:

N(8) = 260 * e^(-0.038 * 8)

Simplifying this equation gives:

N(8) = 260 * e^(-0.304)

N(8) ≈ 138.3 grams

Therefore, approximately 138.3 grams of the compound will remain after 8 hours.

It's important to note that this calculation assumes that the decay rate remains constant over time, which may not always be the case in reality. Additionally, the actual amount of the compound remaining may vary due to experimental error or other factors.

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Answer:

1/273

Step-by-step explanation:

5/15 * 4/14 * 3/13 * 2/12

= 1/3 * 2/7 * 3/13 * 1/6

= 1/273

Answer:

300 students were surveyed.

Step-by-step explanation:

Well, we know that 57% of students like blue, so that leaves 43% who like red. By simply dividing 129 by 43, we get 3, so know we can conclude that 1% is equal to 3 students. Knowing this, we can multiply 3 by 57 to get 171. Adding these up, we get 300, and we can verify this, by simply finding the difference between 57 and 43, which is 14. Now that we also know that 1% is equal to 3 students, we can multiply 14 by 3, to get 42, which is also the difference between 171 and 129.

Answer:

The cafe sold 40 single shot espressos.

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

First subtract 10 by 2

18+3(8)

Now multiply 3 and 8

18+24

now add 18 and 24

18+24=42

Hope this helps! : )

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Using the equation the values of y is -19, -16, and -13 respectively.

Calculation:-

m = 3

(5,8)

using the equation of a straight line:-

y = mx + c

8 = 3×8 +c

c = 8 - 24

C = -16

Now if X = -1 , then y =

y = 3(-1) + (-16)

y = -3 -16

y = -19

If X = 0, than y =

y = 3 (0) + (-16)

y = -16

if X = 1, than Y =

y = 3(1) +(-16)

y = -13

A table can be an arrangement of data in rows and columns or a more complex structure. Tables are commonly used in communication, research, and data analysis. A straight table is a means of arranging data in rows and columns. The use of tables is ubiquitous in communication, research, and data analysis.

Tables appear in printed media handwritten notes computer software architectural ornaments road signs and many other places. The table can be read from left to right or top to bottom. When reading the table across the lines, read the information from left to right. An equation is a mathematical statement consisting of two expressions joined by an equal sign.

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Answer:

No.

Step-by-step explanation:

917 x 33 would result to 30,261.

Answer:

C. \(-5+x\)

E. \(x+(-5)\)

F. \(-5-(-12)\)

Step-by-step explanation: Let's say we chose a random number to represent x I chose 12

Answer:

The number is 9.

Step-by-step explanation:

Using algebra, let c be the number you are finding.

2c -3 = 15

2c = 18

c = 9

Hence, the number is 9.

41/2 days is equivalent tο 492 hοurs.

Divisiοn is an arithmetic οperatiοn that invοlves splitting a quantity intο equal parts οr determining hοw many times οne quantity is cοntained within anοther. It is cοmmοnly denοted by the symbοl ÷ οr /, and can be written as a fractiοn οr as a ratiο.

We knοw that there are 24 hοurs in day therefοre,

Tο cοnvert 41/2 days tο hοurs, we can use the fact that there are 24 hοurs in οne day:

41/2 days x 24 hοurs/day = 41 x 12 = 492 hοurs

Therefοre, 41/2 days is equal tο 492 hοurs.

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The amount that you will have in 3 years, given the interest rate and the amount won, is 1, 195, 618. 17 currency units

To find the amount earned in three years as a result of your lottery being invested, use the future value formula which is:

= Amount won x ( 1 + periodic  rate ) ^ number of periods

Periodic rate :

= 6 % / 4 quarters per year

= 1. 5 %

The number of periods is:

= 3 years x 4 quarters per year

= 12 quarters

The amount you will have in 3 years is:
= 1,000,000 x ( 1 + 1. 5 %) ¹²

= 1, 195, 618. 17 currency units

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The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

4

Step-by-step explanation:

just trust me

Answer:

_ = 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I'll give you a basic idea on how to do them

Pythagoras theorem

If you know two other sides of the right triangle, it's the easiest option; all you need to do is apply the Pythagorean theorem:

a² + b² = c²

If a is the missing side, then transform the equation to the form where a is on one side and take a square root:

a = √(c² - b²)

If b is unknown, then:

b = √(c² - a²)

If c is unknown, then:

c = √(a² + b²)

5.

a=5, b=7 and c=?

c=√(5^2 + 7^2)

c= √(25 + 49)

c= √74

Hope it helps:)

Answer:

96 = 3 * 32, and 32 = 16 + 16, so we can say:

96 = 3(16 + 16)

96 is also equal to 2 * 48, and 48 equals 36 + 12, so we can also say:

96 = 2(36 + 12)

If you want to go with the ridiculous, you have an infinite number of combinations you could do like that.  For example:

96 = 0.15(1423987123497 - 1423987122857)

The two different expressions can be written as 2 × (30 + 18) and 4 × (13 + 11).

Distributive property is applied for numbers or algebraic expressions.

For three numbers a, b and c, distributive property states that,

a (b + c) = ab + ac

Given number is 96.

We have to write two expressions such that the expression should be the product of a number and a sum which equals 96.

We know that,

96 = 2 × 48

Using distributive property,

96 = 2 × (30 + 18)

     = (2 × 30) + (2 × 18)

     = 60 + 36

     = 96

So one expression is 2 × (30 + 18).

96 = 4 × 24

     = 4 × (13 + 11)

     = (4 × 13) + (4 × 11)

     = 52 + 44

     = 96

So the other expression is 4 × (13 + 11).

Hence the two expressions are 2 × (30 + 18) and 4 × (13 + 11).

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Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004

The calculated measure of the angle D is (c) 32 degrees

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

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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Answer:

$74.66

Step-by-step explanation:

Plot the points on the graphing calculator (x = length of HDMI cord, y = cost). Then generate a linear regression model:

y = 3.68x + 1.06 (approximately)

x = 20, so y = 74.66

$74.66 is the correct answer.

Answer:

n > -2

Step-by-step explanation:

5n > -10

n > -2

Answer:

\(n=-2\)

Step-by-step explanation:

\(-3+5n>-13\)

Add negative 3 to both sides.

\(5n>-10\)

Divide 5 to both sides to get n alone.

\(n=-2\)

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Answer:

ive never played a bet game all i know is you shouldnt give much due to the fact that u may loose

Step-by-step explanation:

Answer:

he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations

Step-by-step explanation:

In the book immigrant kids, freeman gives readers a glimpse of what it was like to be new and young America. It talked about the journey and what life is like as soon as they arrive.

Pallegrini's experience about rigorous physical examination and the anxiety that followed agrees with freedman's statement about people being afraid of health examinations.

Answer:

he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations

Step-by-step explanation:

i know all that touches the sunlight

============================================================

Explanation:

Refer to the table below (attached image). I've copied your table and added a third row at the bottom. This new row is the result of multiplying each payout value with the corresponding probability.

Example: for the first entry of this row, have 2*0.45 = 0.9

Once that third row is filled out, you add up everything in that row. That will lead to the expected value.

The expected value is: 0.9+1.2+0.6+0.8+0.5 = 4

Interpretation: You expect, on average, to win $4 each time you play the game. This assumes that the cost to play the game is 0 dollars. If the cost is something else, then it will affect the expected value.

Because the expected value is not 0, this game is not mathematically fair (the bias is leaning in favor of the player).

To find:

The transformations shown in the given image.

Solution:

The triangle ABC is transformed to A'B'C' as given in the figure.

Notice that the x-coordinates of each vertex of the triangle is unchanged from A to A', B to B' and C to C'.

Only the y-coordinates of each vertex is changed from y to -y.

This happens when the image is reflected over x-axis.

Thus, the given image has been undergone the reflectione i

Answer:

-1

Step-by-step explanation:

When b<4

|b-4|  is negative

|b-4|  = - ( b-4)

- (b-4) / ( b-4) =

Factoring out (b-4)

-1

The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

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Answer:

x = 40

Step-by-step explanation:

The  two sides on top are congruent,  Kites have two pairs of adjacent sides that are equal. so since it's 40 degrees on one side, the same will happen to the other.

Answer:

Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society

hope it helps you

please mark me as brainlist

Step-by-step explanation:

mixing up and following social norms and values as a member of the society is called socialization.