How many cigarettes (per day) would someone smoke who can hold their breath for 20 seconds?

Answers

Answer 1

It is not possible to determine how many cigarettes someone would smoke based on how long they can hold their breath. The ability to hold one's breath is not related to the number of cigarettes smoked per day


Related Questions

5(x-9)=55

What would you do to both ide firt?
A. Subtract 5
B. Divide by 5
C. Add 9
D. Subtract 55

Answers

Answer:

b

Step-by-step explanation:

we first make

1.Subtraction/Adding

2.Mutiply/Division

Select the graph for the solution of the open sentence. Click until the correct graph appears.

3|x| > 6

Answers

Answer:

third one:

x<-2 or x>2

Step-by-step explanation:

Answer:

third one

Step-by-step explanation:

]

the number of pieces of cat food in a one-cup scoop is approximately normally distributed with a mean of 344 pieces and a standard deviation of 16 pieces. if a random sample of 28 scoops of cat food is selected, what is the probability that the mean number of pieces will be more than 350 pieces?

Answers

Answer:

the probability that the mean number of pieces in a sample of 28 scoops is more than 350 pieces is approximately 0.0228

Step-by-step explanation:

To find the probability that the mean number of pieces in a sample of 28 scoops is more than 350 pieces, we can use the normal distribution.

The standard error of the mean for a sample of size 28 is the standard deviation of the population divided by the square root of the sample size, or 16 / sqrt(28) = 2.8.

This means that the distribution of the sample means is approximately normally distributed with a mean of 344 pieces and a standard error of 2.8 pieces.

To find the probability that the sample mean is more than 350 pieces, we can use the cumulative distribution function of the normal distribution. In this case, we want to find the probability that a normally distributed random variable is greater than 350.

Using a normal distribution calculator or table, we can find that the probability that a normally distributed random variable with a mean of 344 and a standard error of 2.8 is greater than 350 is approximately 0.0228.

Therefore, the probability that the mean number of pieces in a sample of 28 scoops is more than 350 pieces is approximately 0.0228.

f(x)=x^4+8x^3+11x^2-9x+28=0

Answers

The roots of the quartic polynomial f(x) = x⁴ + 8x³ + 11x² - 9x + 28 are ±1, ±2, ±3, ±4, ±7, ±14, ±28

Roots of a Polynomial

In the given problem, we have to find the roots of the fourth degree polynomial and factorize the given polynomial equation first in order to obtain three equations which are linear and quadratic equation. We can easily determine the zeros of the  fourth degree polynomial.

Generally, polynomials of fourth degrees are called quartic polynomials.

f(x) = x⁴ + 8x³ + 11x² - 9x + 28

When we factorize this, we wouldn't get a lower value because this quartic polynomial cannot be factorized.

However, we can still find the roots which are the solution to the polynomial and are

x = ±1, ±2, ±3, ±4, ±7, ±14, ±28

These values are the solution to the polynomial.

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complete question : What are the roots of f(x)=x^4+8x^3+11x^2-9x+28

PLEASE HELP (attached image)

Answers

Answer:3

Step-by-step explanation: if you fo it wrong so thats the answer

suppose that frida selects a ball by first picking one of two boxes at random and then selecting a ball from this box at random. the first box contains three white balls and two blue balls, and the second box contains four white balls and one blue ball. what is the probability that frida picked a ball from the first box if she has selected a blue ball? (enter the value of the probability in decimal format and round the final answer to one decimal place.)

Answers

If Frida chose a blue ball, there is a 3/4 probability that she chose a ball from the first box.

What is probability?

The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur.

Probabilistic and odds are two distinct ideas.

Odds are determined by dividing the likelihood of an event by the likelihood that it won't.

So, we have:

Initial box:

3 white balls

2 blue balls.

Next box:

4 white balls.

1 blue ball.

If Frida chose a blue ball, the likelihood that she chose a ball from the first box is:

Probability (P) = (required outcome / Total possible outcomes)

Probability of picking the first box : P(F) = 1/2

Probability of not picking the second box :P(S) 1/2

Probability of picking blue from the first box : P(B | F) = 3/5

Probability of picking blue, but not from the first box : P(Blue not from the second box) P(B|S) = 1/5

If Frida chose a blue ball, there is a chance she chose a ball from the first box:

P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))

(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)

3/10 ÷ (3/10 + 1/10)

3/10 ÷ 4/10

3/10 * 10/4

= 3/4

Therefore, if Frida chose a blue ball, there is a 3/4 chance that she chose a ball from the first box.

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PLEASE HELP ASAP WILL MARK YOU BRAINIEST!!

Answers

Answer:

A , E

Step-by-step explanation:

side of the square = 10

there are 4 side in the perimeter

10 · 4 = 40


the radius of the semicircle is the value of the side of the square = 10

there are two equals semicircle, so the total perimeter of these shapes is equal to a complete circle

10 · 2 · π = 20π


total perimeter

40 + 20π


that can be expanded in

10 + 10 + 10π + 10 + 10 + 10π

I can really use some help anyone?

Answers

The linear inequality to represent the number of seashell is w ≥ 14 and the graph is attached below

Linear Inequality

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. These values could be numerical or algebraic or a combination of both.

In this problem, Ernest needs at least 14 seashells and he plans to glue 30 seashells on the wall.

An inequality to represent this will be

w ≥ 14

The reason why we are using greater than or equal to sign in this problem is that we need "at least" 14 seashells or more than seashells on the wall.

b)

Kindly find attached below the inequality below.

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Calculate the magnitude of y. trapezium

K = 123°
L = 71°
M = 39°
N = y​

Answers

Answer:   127

Explanation:

A trapezium has four sides, so it is a quadrilateral.

Any quadrilateral has all four interior angles add to 360 degrees.

K+L+M+N = 360

123+71+39+y = 360

233+y = 360

y = 360-233

y = 127

Question 20

A rectangular courtyard has a cement walkway around its perimeter. The area of the courtyard can be represented by the expression 24(5x - 1).

The area of the cement walkway can be represented by the expression 32(5x-1 + 8)- 24(5x-1). Write an equivalent expression that

represents the area of the cement walkway.square yards

Answers

Answer:

Step-by-step explanation:

The area of the courtyard is given by the expression 24(5x - 1), and the area of the cement walkway is given by the expression 32(5x-1 + 8)- 24(5x-1). To find an equivalent expression for the area of the cement walkway, we can first distribute the 32 and the 24 in the second expression to get:

Area of cement walkway = 32 * (5x-1 + 8) - 24 * (5x-1)

= 32 * 5x-32 - 24 * 5x+24 + 32 * 8 - 24

= 160x-1024 - 120x+576 + 256 - 24

= 40x-448 + 256 - 24

= 40x-192

Therefore, an equivalent expression for the area of the cement walkway is 40x - 192. This expression represents the area of the cement walkway in square yards.

an airplane travels 5032 kilometers against the wind in 8 hours and 6152 kilometers with the wind in the same amount of time. what is the rate of the plane in still air and what is the rate of the wind?

Answers

The rate of the plane in still air is 644 kilometers per hour. The rate of the wind is 72 kilometers per hour.

To calculate the rate of the plane in still air and the rate of the wind, we can use the formula Rate = Distance/Time. To calculate the rate of the plane in still air, we can use the distance of 5032 kilometers and the time of 8 hours to get a rate of 644 kilometers per hour. To calculate the rate of the wind, we can subtract the rate of the plane in still air (644 kilometers per hour) from the rate of the plane with the wind (6152 kilometers per hour) to get a rate of 72 kilometers per hour. Therefore, the rate of the plane in still air is 644 kilometers per hour and the rate of the wind is 72 kilometers per hour.

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Read the following statement: If meX = mY and mY = meZ, then m2X = m Z. This statement demonstrates:
the substition property.
the refexive property.
the symmetric property.
the transitive property.

Answers

If meX = mY and mY = meZ, then meX = meZ. This statement demonstrates

the transitive property.

What is transitive property?

According to the transitive property, all the quantities are equal to each other if two quantities are equal to the third quantity.

For the given problem,  if meX = mY and mY = meZ, then meX = meZ

The two properties that are equal is meX and mY

since mY is also equal to meZ then transitive property says that meX and meZ are still equal

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Statistics tree diagram word problem, select the correct tree diagram.


Each day mr brightside chooses one digit number from a random number table to decide if he will walk to work or drive that day. the numbers 0 through 3 indicate he will drive, 4 through 8 mean he will walk. if he drives, he has a probability of 0.1 of being late. if he walks, his probability of being late rises to 0.25. let 2=walk, d= drive, l=late, and nl= not late. which of the following tree diagrams summarizes these probabilities?

Answers

The tree diagram that summarizes these probabilities is Option (D).

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Here, N(S) = 10, The numbers from 0 - 9.

The probability of going to work by driving is (4/10) = 0.4.

If he drives, he has a probability of 0.1 of being late so P(NL) = 1 - 0.1 = 0.9.

The probability of going to work by walking is = 6/10 = 0.6.

if he walks, his probability of late rising to 0.25 so, P(NL) = 1 - 0.25 = 0.75.

Now we'll connect this information to the given options.

From the given options, Option (D) satisfies the given information.

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Jay has an album that holds 500 stamps. Each page of the album holds 5 stamps. If 21% of the album is empt, how many pages are filled with stamps?

Answers

Answer: 79 pages

Step-by-step explanation:

100% - 21% = 79%

So we know that Jay has 79% of the stamps

79% = 0.79

Take 500 times 0.79 = 395 stamps

Then we take 395 divided by 5 = 79 pages

So, 79 pages are filled with stamps

what is 4+4? 4+4 is 8

Answers

Answer: 8

Step-by-step explanation:

4+4 is the same as 4 times 2

They both equal to 8

I think the answer is 8

is tangent to circle A at point G. If AG = 8 and GI = 15, determine the length of .

1) 17 units
2) 18.3 units
3) 15 units
4) 12.7 units

Answers

Answer:

hope u want to know the length of AH.

it is 17 units

Step-by-step explanation:

AGH is 90° (tangent )

AG is 8 units and GH is 15 units (Data)

so using Pythegorus theorem

AG² + GH² = AH²

gives √(8²+15²)

= 17 units

2: Angle 1 and Angle 4 are vertical angles. If the measure of angle 1 equals 3x + 14 and the
measure of angle 4 equals 5x − 52, what is the measure of Angle 1?
3: Suppose that ∠ = 3x + 8 and ∠ = 2/3x + 62
If ∠ and ∠ are supplementary
angles, what is the measure of ∠?
4:Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the
measure of angle 3 equals 9x + 59, find the value of .
5: Suppose that m∠ABC = 163° and ∠XYZ = 5x + 2. If ∠ABC and ∠XYZ are supplementary
angles, determine the value of x

Answers

2. The measurement of angle 1 is 113°

3. The measure of ∠1 = 98° and ∠2 = 82°

4. The value of x is 8.

5.  The value of x is 3.

What is the supplementary angle?

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.

2.

Given that, ∠1 and ∠4 are vertical angle.

According to the vertical angle theorem, if two angles are vertical then they are congruent.

Therefore,

∠1 = ∠4

3x + 14 = 5x − 52

Subtract 5x from both sides:

3x - 5x + 14 = -52

-2x + 14 = -52

Subtract 14 from both sides:

-2x = -66

x = -33

Putting x = -33 in ∠1 = 3x + 14

∠1 = 3× 33 + 14 = 113°

3.

Given that, ∠1 = 3x + 8 and ∠2 = 2/3x + 62 are supplementary angles.

Therefore ∠1 + ∠2 = 180°

3x + 8 + 2/3x + 62 = 180°

11/3 x + 70 = 180°

Subtract 70 from both sides:

11/3 x = 110

x = 110 × (3/11)

x = 30

Putting x = 30 in ∠1 = 3x + 8 and ∠2 = 2/3x + 62

∠1 = 3x + 8 = 3×30 + 8 = 98°

∠2 = 2/3x + 62 = (2/3)×30 + 62 = 82°

4.

Given that, Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the measure of angle 3 equals 9x + 59.

Therefore,

∠2  = ∠3

13x + 27 = 9x + 59

Subtract 9x from both sides:

13x - 9x + 27 = 9x -9x +59

4x +27 = 59

Subtract 27 from both sides:

4x = 32

x = 8

5. Given that m∠ABC = 163° and ∠XYZ = 5x + 2 are supplementary angles.

m∠ABC + m∠XYZ =180°

163° + 5x + 2 =180°

165 + 5x = 180

Subtract 165 from both sides:

5x = 15

x = 3

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Answer:

2)  m∠1 = 113°

3)  98° and 82°

4)  x = 8  

    Angles = 131°

5)  x = 3

Step-by-step explanation:

Question 2

If Angle 1 and Angle 4 are vertical angles, then according the Vertical Angles Theorem they are congruent.

Therefore:

⇒ m∠1 = m∠4

⇒ 3x + 14 = 5x - 52

⇒ -2x + 14 = -52

⇒ -2x = -66

⇒ x = 33

To find the measure of Angle 1, substitute the found value of x into the expression for the angle:

⇒ m∠1 = 3x + 14

⇒ m∠1 = 3(33) + 14

⇒ m∠1 = 99 + 14

⇒ m∠1 = 113°

Question 3

Given:

∠ = 3x + 8∠ = ²/₃x + 62

If the angles are supplementary, they sum to 180°:

⇒ 3x + 8 + ²/₃x + 62 = 180

⇒ ¹¹/₃x + 70 = 180

⇒ ¹¹/₃x = 110

⇒ 11x = 330

⇒ x = 30

Substitute the found value of x into the expressions for the angles:

⇒ ∠ = 3x + 8

⇒ ∠ = 3(30) + 8

⇒ ∠ = 98°

⇒ ∠ = ²/₃x + 62

⇒ ∠ = ²/₃(30) + 62

⇒ ∠ = 82°

Question 4

If Angle 2 and Angle 3 are vertical angles, then according the Vertical Angles Theorem they are congruent.

Therefore:

⇒ m∠2 = m∠3

⇒ 13x + 27 = 9x + 59

⇒ 4x + 27 = 59

⇒ 4x = 32

⇒ x = 8

Substitute the found value of x into the expressions for the angles:

⇒ m∠2 = 13x + 27

⇒ m∠2 = 13(8) + 27

⇒ m∠2 = 104 + 27

⇒ m∠2 = 131°

⇒ m∠3 = 9x + 59

⇒ m∠3 = 9(8) + 59

⇒ m∠3 = 72 + 59

⇒ m∠3 = 131°

Question 5

Given:

m∠ABC = 163° m∠XYZ = 5x + 2

If ∠ABC and ∠XYZ are supplementary, they sum to 180°:

⇒ m∠ABC + m∠XYZ = 180°

⇒ 163 + 5x + 2 = 180

⇒ 5x + 165 = 180

⇒ 5x = 15

⇒ x = 3

02.03 Focus Questions


What are linear equations and functions?
What are the different ways of representing a linear function?
How are key features of a linear function identified and interpreted from a graph?
How are key features of a linear function identified and interpreted from a table?
How are key features of a linear function identified and interpreted from an equation?
How are key features of a linear function identified and interpreted from a description?

Answers

Linear functions are those whose graph is a straight line and it has the following form. y = f(x) = a + bx.

There are several ways to represent a linear function such ad word form, function notation, tabular form, and graphical form.

The key features of a linear function identified and interpreted from a description as an increasing linear function results in a graph that slants upward from left to right and has a positive slope.

What is a linear function?

A linear function can be expressed as a point slope or a line with a slope intercept. The ordered pairs will represent points on the line where a table of values representing the function is provided. According to the values in the table, the gradient of the line is a ratio of rise to run. The gradient and initial value of the function are shown in slope intercept form.

A graph with a positive slope and a left-to-right slope is produced by an increasing linear function. A graph with a negative slope and a left-to-right slant is produced by a decreasing linear function. A graph with a constant linear function looks like a horizontal line.

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Chocolate bars cost $2.50 each.
The more chocolate bars Terri buys, the more
money she will have to pay.
Identify the dependent variable.

Answers

Answer:

The dependent variable is the cost

Step-by-step explanation:

The dependent variable is the variable that depends on the independent variable to either increase or decrease.

In this case, the dependent variable is the cost, and the independent variable is the number of chocolate bars.

What are the vertex and range of y = |2x 6| 2? (0, 2); 2 < y < [infinity] (0, 2); −[infinity] ≤ y < [infinity] (−3, 2); 2 < y < [infinity] (−3, 2); −[infinity] ≤ y < [infinity]

Answers

The vertex of the function is (-3,3) when the function is y=|2x+6|+3 and the range is -∞<y<∞.

Given that,

The function is y=|2x+6|+3

We have to find the vertex and range.

We know that,

What is function?

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. This special sort of relationship is what it is called.

So,

|2x+6|=0

2x=-6

x=-6/2

x=-3

Now,

y=|2(-3)+6|+3

y=|-6+6|+3

y=3

The vertex is (-3,3)

Therefore, The vertex of the function is (-3,3) when the function is y=|2x+6|+3 and the range is -∞<y<∞.

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a man 6 feet tall walks at a rate of 5 ft / sec away from a light that is 15 feet above the ground. when he is 10 feet from the base of the light, at what rate is the tip of his shadow moving?

Answers

On solving the provided question we can say that - rate is the tip of his shadow moving is [tex]d/dt ( s-x) = ds/dt - dx/dt = 25/3 - 5 = 25/3 - 15/3 = 10/3 ft/s = 10/3 ft/s[/tex]

What is triangle?

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is what? A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

triangles and the ratios

15 ft            s

-------- = --------------

6 ft           s-x

Using cross products

[tex]15( s-x) = 6s\\15s -15x = 6s\\15s-6s = 15x\\9s = 15x\\s = 15/9 x\\s = 5/3 x[/tex]

Taking the derivative of each side with respect to time

[tex]ds/dt = 5/3 dx/dt\\We know dx/dt = 5 ft/s\\ds /dt = 5/3 * 5 = 25/3 ft/s\\a) ds/dt = 25/3 ft/s[/tex]

The length of the shadow is ( s-x)

[tex]d/dt ( s-x)\\ds/dt - dx/dt\\25/3 - 5\\25/3 - 15/3\\10/3 ft/s\\b) 10/3 ft/s[/tex]

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Which are irrational numbers?

Answers

Answer:

A is the only irrational number present.

Step-by-step explanation:

The bottom two numbers can be simplified into 7 and 5. Meanwhile, B is a repeating number. A is a non-repeating and non terminating number.

Answer:

A.

Step-by-step explanation:

An irrational number is any real number that cannot be equally divided by 2 integers. (It's not a perfect square.)

No whole number multiplied by itself equals 27.

what is the size of angle ADC
what is the size of angle ADB

Answers

Answer:

∠ADC = 58°∠ADB = 37° BD is a diameter

Step-by-step explanation:

You want to know the measures of angles ADB and ADC given that inscribed angle BAC is 21° and exterior angle CBE is 58°.

Exterior angle

Angle CBE is exterior to triangle CBA with remote interior angles BAC (21°) and ACB. The exterior angle is equal to the sum of the remote interior angles, so ...

  ∠CAB +∠ACB = ∠CBE

  21° +∠ACB = 58°

  ∠ACB = 37° . . . . . . . . subtract 21°

a) ∠ADC

The measure of an inscribed angle is half the measure of the arc it intercepts. This means the measures of all inscribed angles that intercept the same arc are the same.

  ∠ADB = ∠ACB = 37°

  ∠BDC = ∠CAB = 21°

By the Angle Addition theorem, ...

  ∠ADC = ∠ADB +∠BDC = 37° +21°

  ∠ADC = 58°

b) ∠ADB

As we just saw, ...

  ∠ADB = 37°

c) BD

For angle CAD = 69°, the total of the inscribed angles with vertex A is ...

  ∠CAD +∠CAB = ∠BAD

  69° +21° = 90° = ∠BAD

This means angle BAD intercepts an arc BD of 180°, hence segment BD is a diameter.

__

The attached figure is accurately drawn.

Figure A ha an area of 18 quare feet. Figure B ha an area of 98 quare feet and one of the ide length i 14 feet. Find the miing correponding ide length if figure A i imilar to Figure B

Answers

The side length of Figure A can be determined using the ratio of areas and the known side length of Figure B. The area of Figure A is 18 square feet and the area of Figure B is 98 square feet. The side length of Figure B is 14 feet. Using these values, the corresponding side length of Figure A can be calculated to be 7 feet.

The missing corresponding side length of Figure A can be determined using the ratio of areas and the known side length of Figure B. If two shapes are similar, then their corresponding sides are in the same ratio as their areas. Since the area of Figure A is 18 square feet and the area of Figure B is 98 square feet, the ratio of their areas is 18/98. Since the side length of Figure B is 14 feet, the corresponding side length of Figure A can be calculated by multiplying 14 feet by the ratio of 18/98, which is 0.1837. This value can be rounded to 7 feet. Therefore, the missing corresponding side length of Figure A is 7 feet. This result can be verified by calculating the area of Figure A using the known side length and the missing side length. If the two side lengths are multiplied together, the product should be equal to the area of Figure A, which is 18 square feet.

7 feet x 11 feet = 77 feet^2

77 feet^2 = 18 feet^2 (Area of Figure A)

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passes through the points (-2,-9) and (4, -6)

Answers

y=1/2x-8 is the equation of line passing through points  (-2,-9) and (4, -6) is

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The points are (-2,-9) and (4, -6)

Slope=-6+9/4+2

=3/6=1/2

Let us find the y intercept by the point (-2, -9)

-9=1/2(-2)+b

-9=-1+b

-9+1=b

-8=b

Hence, the equation of line passing through points  (-2,-9) and (4, -6) is y=1/2x-8.

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Make x the subject of m=n+x/p

Answers

Answer:

x = mp - np

Step-by-step explanation:

Make x the subject of m = n + x/p

m = n + x/p

subtract n from both sides:

m - n = n + x/p - n

m - n = x/p

multiply both sides by p:

p(m - n) = p(x/p)

x = p(m - n)

distribute p on right side:

x = mp - np

Find the radius of the circle which circumference is 22 cm. ​

Answers

Answer:

3.5 cm

Step-by-step explanation:

Circumference: C = 2πr

so radius r = C/2π = 22/2π = 3.5 cm

show that if a, b, c, and d are integers, where a = 0, such that a | c and b | d, then ab | cd.

Answers

If a, b, c, and d are integers, where a = 0, such that a | c and b | d, then ab | cd.

In this question we need to prove if a, b, c, and d are integers, where a = 0, such that a | c and b | d, then ab | cd.

We know that the definition of divisibility i.e., m divides n if there exists an integer p such that n = mp

If a | c and b | d, then there exist integers x and y such that c = ax and d = by.

Consider a multiplication c * d

= (ax) * (by)

= axby

= (ab)xy

= ab(xy)

Let k be equal to the integer xy

So, cd = ab(k)

Using the definition of divisibility,  cd is divisible by ab.

Therefore, if a | c and b | d, then ab | cd.

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a bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 210.0 and a standard deviation of 50.0. if an applicant is randomly selected, find the probability of a rating that is between 176.0 and 214.0.

Answers

The probability of a rating that is between 176 and 214 is,

                         [tex]P(176\leq x\leq 214)=0.21994[/tex]

Since the credit ratings are normally distributed.

Now,  apply the formula for normal distribution. Which is shown below,

                   [tex]z=\frac{x-u}{sd}[/tex]

x=credit ratings for applicants.

u=mean.

sd standard deviation.

From the given information,  µ = 210 and   σ = 50

For x = 176,

[tex]z=\frac{176-210}{50} =-0.68[/tex]

In the normal distribution table, the probability corresponding to the -0.68 z-score is 0.25175

For x =214,

[tex]z=\frac{214-210}{50} =0.08[/tex]

In a normal distribution table, the probability corresponding to the z score of 0.08  is 0.03788

Thus,    

[tex]P(176\leq x\leq 214)=0.25175-0.03181=0.21994[/tex]

Hence, The probability of a rating that is between 176 and 214 is,

[tex]P(176\leq x\leq 214)=0.21994[/tex]

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tom and addison made plans to meet up in the state park to spend some time hiking together. tom arrived early and started wandering up the trail, snapping some photos along the way. his speed was 4 kilometers per hour. addison arrived later, when tom was already 6 kilometers ahead, and started hiking up the trail at 10 kilometers per hour to catch up. how much time did it take addison to catch up to tom?

Answers

Answer:

Math Expert Answer

Step-by-step explanation:

So toms equation is y= 4x + 6 and addisons equation is y=10x so they will meet eachother in 1 hour. You can use a desmos calculator to input the equations for the answer

Answer:

1 hour

Step-by-step explanation:

Let's set up an equation for Tom's and Addison's distances: T(x) = 4x + 6, A(x) = 10x, where x is the amount of time since Addison started (in hours).

We solve for A(x) = T(x) and get:

10x = 4x + 6 → subtract 4x from both sides

6x = 6 → divide both sides by 6

x = 1

Therefore, it took Addison 1 hour to catch up with Tom

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