on a road map of pennsylvania, the distance from philaephia to washington d.c. is 6.8 centimeters. whatis the actual distance between the cities if the mape scale is 2 centimeters = 40 miles.

Answers

Answer 1

Answer:

136 miles

Step-by-step explanation:

The map distance is 3.4 times 2 cm, so the road distance will be 3.4 times 40 miles, or 136 miles.


Related Questions

EASY PLZ HELP!
Solve for x. (Show your work)
2x + 3 > 5

Answers

Greetings!

Answer:

x > 1

Step-by-step explanation:

Firstly, the +3 must be moved over to the other side, making it a -3:

2x > 5 - 3

2x > 2

Then, divide both sides by two to get 1x:

x > 1


Hope this helps!

Hi there!

Answer:

X>1

*The answer must have a positive sign and greater than symbol.*

Step-by-step explanation:

First, you subtract by 3 from both sides of an equation.

[tex]2x+3-3>5-3[/tex]

Then, you subtract by the numbers from left to right.

[tex]5-3=2[/tex]

[tex]2x>2[/tex]

You can also divide by 2 from both sides of an equation.

[tex]\frac{2x}{2}>\frac{2}{2}[/tex]

Finally, you divide by the numbers from left to right.

[tex]2/2=1[/tex]

Final answer is x>1

I hope this helps you!

Have a nice day! :)

:D

-Charlie

Thank you so much! :)

:D

-27=-3p+15-3p solve for p

Answers

-3p + 15 -3p= -27
If we simplify p's ( as -3p + -3p) we will get

15 -6p = -27
We need to leave the unknown "(p)" alone. So you can put -6p both to the left or the right of the equality. You can solve the problem easier when you make the unknown positive and leave it alone.

So;
15 +27 = 6p (We threw it to the other side to make -6p positive)

42 = 6p
7 = p

Hope it helps!
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(X+5) to the power 6 use binomial theorem to expand the power of a binomial

Answers

Answer:

x⁶ +30x⁵ +375x⁴ +2500x³ +9375x² +18750x +15625

Step-by-step explanation:

The expansion is the sum of C(6, k)·x^(6-k)·5^k for k=0–6, where ...

... C(6, k) = 6!/(k!(6-k)!)

For k = 0–6, C(6, k) = {1, 6, 15, 20, 15, 6, 1}

Then the expansion is ...

... x⁶ +6·5¹·x⁵ +15·5²·x⁴ +20·5³·x³ +15·5⁴·x² +6·5⁵·x +5⁶

Using binomial theorem to expand the power of a binomial (X+5) to the power 6 and the result is [tex]X^6 + 30 \times X^5 + 300 \times X^4 + 1500 \times X^3 + 3750 \times X^2 + 4500 \times X + 3125[/tex].

To expand the expression (X+5) to the power 6 using the binomial theorem, we can use the formula [tex](a + b)^n = nC_0 \times a^n + nC_1 \times a^{(n-1)} \times b^1 + nC_2 \times a^{(n-2)} \times b^2 + ... + nC_n * b^n[/tex].

In this case, a = X, b = 5, and n = 6.

Using the binomial coefficients, the expanded expression becomes:

[tex]X^6 + 6 \times X^5 \times 5 + 15 \timesX^4 \times 5^2 + 20 \times X^3 \times 5^3 + 15 \times X^2 \times 5^4 + 6 \times X \times 5^5 + 5^6[/tex]

Simplifying this expression gives

[tex]X^6 + 30 \times X^5 + 300 \times X^4 + 1500 \times X^3 + 3750 \times X^2 + 4500 \times X + 3125[/tex].

Find the quantity represented by each percent.

5.) 48% of 725 kg

6.) 15% of 138 lb.


Find the missing value.

7.) 45% of _____is 108.

Answers

5.)348 kg
6.)10.87 lb
7.)240

Answer:

5.) 348 kg

6.) 20.7 lb

7.) 240

Step-by-step explanation:

5.) 48% of 725 kg

48 × 725 ÷ 100 = 348 kg

6.) 15% of 138 lb

15 × 138 ÷ 100 = 20.7 lb

7.) 45% of _____is 108.

100 × 108 ÷ 45 = 240

Thus, 5.) 348 kg; 6.) 20.7 lb; 7.) 240

-TheUnknownScientist

Hi! I need help on this. thank you

Answers

Answer:

5^(3m+10)

Step-by-step explanation:

There are several ways you can go at this. One is to do the division of fractions the way you often do division with fractions: multiply by the inverse of the denominator.

= (5^(m+4)) · (25^(m+3))

= (5^(m+4)) · ((5^2)^(m+3))

= (5^(m+4)) · (5^(2m+6))

= 5^(m+4+2m+6)

= 5^(3m+10)

PLEASE HELP

A laptop computer is purchased for $2500. After each year, the resale value decreases by 25%. What will the resale value be after 5 years?

Use the calculator provided and round your answer to the nearest dollar.

Answers

After 5 years, the resale value of the laptop will be approximately $592.

The resale value of the laptop after each year can be calculated by multiplying the previous year's value by 0.75. Starting with the initial value of $2500, the resale value after 5 years can be found by multiplying $2500 by 0.75 five times. Let's calculate:

Year 1: $2500 x 0.75 = $1875Year 2: $1875 x 0.75 = $1406.25Year 3: $1406.25 x 0.75 = $1054.69Year 4: $1054.69 x 0.75 = $790.02Year 5: $790.02 x 0.75 ≈ $592.52

Therefore, the resale value of the laptop after 5 years will be approximately $592.

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What is the simplified value of the expression below?


A. 18.25
B. 21.38
C. 27.56
D. 42.75

Answers

Answer:

A. 18.25

Step-by-step explanation:

After you do the multiplications, the problem is

... (56 +90)/8 = 146/8 = 18.25

_____

The division bar is a grouping symbol, equivalent to parentheses around both numerator and denominator. You must evaluate the numerator before you can divide by the denominator, which also must be evaluated before that division.

What are the solutions to the equation?

x2 + 6x = 40

x = −10 and x = 4
x = −8 and x = 5
x = −5 and x = 8
x = −4 and x = 10

Answers

Answer:

x = −10 and x = 4

Step-by-step explanation:

x2 + 6x = 40

Subtract 40 from each side

x^2 + 6x -40 =0

Factor,  what 2 numbers multiply to -40 and add to 6

10 * -4 = -40    10+-4 = 6


(x+10) (x-4) = 0

Using the zero product property

x+10 =0     x-4=0

x=-10    x=4

Answer:

x = −10 and x = 4

Step-by-step explanation:

We are given the following quadratic equation and we are to solve it to find the two solution for the variable x:

[tex]x^2+6x=40[/tex]

Rearranging the equation by putting the constant on the same side as the variables to get:

[tex]x^{2} +6x-40=0[/tex]

Now factorizing it to get:

[tex]x^{2} -4x+10x-40=0\\\\x(x-4)+10(x-4)=0\\\\(x+10)(x-4)=0\\\\x= -10, x= 4[/tex]

Therefore, the solution to the given quadratic equation [tex]x^2+6x=40[/tex] are x = −10 and x = 4.

Modeling Circular Motion, Picture attached to the question.
The boat is traveling at a rate of 1 meter per second.

How long does it take the barnacle to get back to its starting point?

Answers

Answer:

2π seconds

Step-by-step explanation:

The circumference of a circle of radius r is given by

... C = 2πr

When r = 1 m, then

... C = 2π(1 m) = 2π m

The relation between time, distance, and speed is ...

... time = distance/speed

... time = (2π m)/(1 m/s) = 2π s

_____

Comment on the scenario

We have a hard time imagining what sort of scenario this is modeling, as it appears the "boat" is rotating in such a way as to place the barnacle above and below the water level. This problem may be nonsensical, but at least it is workable. (Some aren't.)

Answer:2 pi

Step-by-step explanation:

URGENT !! What is the value of Y?

Answers

Answer:

B. 68°

Step-by-step explanation:

We know:

The sum of the measures of the angles of the triangle is equal to 180 °.

Therefore we have the equation:

[tex]y+(y-12)+56=180[/tex]         combine like terms

[tex]2y+44=180[/tex]              subtract 44 from both sides

[tex]2y=136[/tex]           divide both sides by 2

[tex]y=68[/tex]

A​ town's population is 53,075. About 100 people move out of the town each month. Each​ month, 200 people on average move into town. A nearby town has a population of 55,825. It has no one moving in and an average of 175 people moving away every month. In about how many months will the populations of the towns be​ equal? Write an equation to model the situation. Then solve the equation and answer the question.

Answers

Answer:53075 -100m +200m = 55825 -175mm = 10; the populations will be equal in 10 monthsStep-by-step explanation:

If we let m represent the number of months, then the population increase of the first town is 100m and its decrease is 200m. The population decrease of the second town is 175 m.

We want to find m such that the increases and decreases make the towns' populations equal. We add the increases and subtract the decreases to the base population in each case.

... first town population = second town population

... 53075 -100m +200m = 55825 -175m . . . . . the model equation

Solution

... 100m = 2750 -175m . . . . . collect terms, subtract 53075

... 275m = 2750 . . . . . . . . . . add 175m

... m = 10 . . . . . . . . . . . . . . . . . divide by 275

The populations will be equal in 10 months.

Answer:

175m-125m+38,200=40,600-150m

Step-by-step explanation:

I just completed it on imagine math

In the figure angle B is a right angle, side AB is 4 units long, and side BC is 6 units long. How many units long is side AC?

Answers

We know that , According to Pythagorean Theorem :

In a Right Angled Triangle :

✿  (Hypotenuse)² = (First Leg)² + (Second Leg)²

In the Figure : AC is the Hypotenuse and AB and BC are Two Legs

Given : Length of AB = 4 and Length of BC = 6

⇒ (AC)² = (AB)² + (BC)²

⇒ (AC)² = 4² + 6²

⇒ (AC)² = 16 + 36

⇒ (AC)² = 52

[tex]\mathsf{\implies AC = \sqrt{52}}[/tex]

[tex]\mathsf{\implies AC = 2\sqrt{13}}[/tex]

3rd Option is the Answer


The sum of two numbers is 52 . The smaller number is 16 less than the larger number.What are the numbers?

Answers

Answer:

This question is not as hard as it seems.

Let the first number = x.

The other number will be x - 16.

The sum of both the number is 52.

So, x+x-16 = 52

Which would simplify to 2x -16 = 52.

When I add 16 to both sides, it would give me 2x = 68.

Then, divide both sides by 2.

This leaves us with x = 34.

Since we have x, now x-16 would be 34-16 = 18.

The two numbers are 34 and 18, this answer is correct because both of them add up to give me 52.

HOPE THIS HELPS!

Question

The sum of two numbers is 52 . The smaller number is 16 less than the larger number.What are the numbers?

Answer:

18 and 34


Step-by-step explanation:

[(52 - 16) : 2] + 16 =

(36 : 2) + 16 =

18 + 16 =

34

-----------------------

Check

34 - 18 = 16

34 + 18 = 52

the answer is good

In the game of backgammon, you get to double how much you move if you roll “doubles" on two dice (that is: 1 and 1, 2 and 2, 3 and 3, etc.). The next three questions concern this situation. 23. What is the probability of rolling doubles on any one roll?
(a) 1/6

(b) 1/12

(c) 1/36

(d) 5/36

(e) 1/2

Answers

*11* 12 13 14 15 16
21 *22* 23 24 25 26
31 32 *33* 34 35 36
41 42 43 *44* 45 46
51 52 53 54 *55* 56
61 62 63 64 65 *66*
(36 combos)

6/36 or 1/6 probability or rolling doubles.

A quintic polynomial has, at most, how many turning points?
3
4
5
6

Answers

Answer:

4

Step-by-step explanation:

The derivative of a 5th-degree polynomial is a 4th-degree polynomial, so will have at most 4 real zeros. The zeros of the derivative correspond to the turning points of the function.

PLEASE HELP
Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the number of years since it was last purchased.


What equation models this function?


(My graph is below)


Enter your answer in the box.


f(x)=

Answers

Answer:

f(x) = 8·1.25^x

Step-by-step explanation:

An exponential function has the form ...

... f(x) = a·b^x

Then f(0) = a. Your graph shows f(0) = 8.

The base "b" can be found from any other point on the graph. You have marked the point (1, 10), so we can find "b" from ...

... f(1) = 10 = 8·b^1 = 8b

... 10/8 = b = 1.25 . . . . . . . divide by the coeffiicient of b

Now, we know the exponential function is ...

... f(x) = 8·1.25^x

Answer:

The correct answer is f(x) = 8·1.25^x

Step-by-step explanation:

find the missing term of 18 ? =9 : 12

Answers

Answer:

24

Step-by-step explanation:

We want the ratios to be equal

18:x    9:12

18                 9

--------- =   -----------

x                  12

We divide by 2 to get from 18 to 9

x ÷2 =12

Multiply each side by 2

x ÷2*2 =12*2

x = 24


18:24    9:12

Answer:

24 is your answer

Step-by-step explanation:

18 : x = 9 : 12

You are solving for x. First, simplify the ratio on the right side.

(9/3) : (12/3) = 3 : 4

Next, solve for x. Multiply. Remember that what you do to the numerator, you do to the denominator.

3 : 4 = 18 : x

3 (6) : 4 (6) = 18 : x

Simplify

18 : 24 = 18 : x

x = 24

24 is your answer

~

The circumference of a circular garden is 131.88 feet. What is the radius of the garden?

Answers

Answer:

21 ft

Step-by-step explanation:

C = 2πr

Filling in the given values, we have ...

131.88 ft = 2·3.14·r . . . . we can find r by dividing by its coefficient

131.88 ft/6.28 = r = 21 ft

Picture attached please help
Given that tan 0=-1, what is the value of sec0 for 3pi/202pi?

Answers

Answer:

   = -sqrt(2)

Step-by-step explanation:

tan theta = -1

we know tan = opposite/ adjacent

So opposite/adjacent = -1

Multiply by adjacent on each side

opposite = - adjacent

We also know from pythagorean theorem that

opposite ^2 + adjacent ^2 = hypotenuse ^2

Substituting in for adjacent

opposite ^2 + (-opposite ) ^2 = hypotenuse ^2

opposite ^2 + opposite ^2 = hypotenuse ^2

2 opposite ^2 = hypotenuse ^2

 Taking the square root on each side

sqrt(2 opposite ^2)   =  sqrt(hypotenuse ^2)

sqrt(2) opposite = hypotenuse


We are now set to find the sec

sec theta = hypotenuse / adjacent

               = sqrt(2) opposite/ adjacent

Replace the opposite = -adjacent

                 = sqrt(2) (-adjacent)/adjacent)

                 = -sqrt(2)

The value of secθ for 3π/ 2 < θ< 2π is √2. This is because tanθ is negative in Quadrant III and sec²θ = 1 + tan²θ. Therefore, secθ = √2.

Step 1: Determine the quadrant of θ

We know that 3π/ 2 < θ< 2π, which means that θ is in Quadrant III. In Quadrant III, tanθ is negative and secθ is positive.

Step 2: Use the identity sec²θ = 1 + tan²θ to solve for secθ

The identity sec²θ = 1 + tan²θ can be used to solve for secθ given tanθ. Substituting tanθ = -1 into the identity, we get:

sec²θ = 1 + (-1)² = 2

Taking the square root of both sides, we get:

secθ = √2

Therefore, the value of secθ for 3π/ 2 < θ< 2π is √2.

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What is the value of x^3\cdot y^1x ​3 ​​ ⋅y ​1 ​​ x, start superscript, 3, end superscript, dot, y, start superscript, 1, end superscript when x=5x=5x, equals, 5 and y=10y=10y, equals, 10?

Answers

The expression [tex] x^3y [/tex] means that you have to cube the value of [tex] x [/tex] and multiply it by the value of [tex] y [/tex].

So, the value of [tex] x [/tex] is 5, which becomes 125 when cubed. When we multiply it by the value of [tex] y [/tex], which is 10, the result is 1250:

[tex] x^3y = 5^3\cdot 10 = 125\cdot 10 = 1250 [/tex]

The value of the expression x^3 * y^1 * x^3 * y^1 when x = 5 and y = 10 is 156250.

Let's substitute the values of x and y into the expression:

x^3 * y^1 * x^3 * y^1

When x = 5 and y = 10:

(5^3) * (10^1) * (5^3) * (10^1)

Now, calculate the values:

(5^3) = 5 * 5 * 5 = 125

(10^1) = 10

Now, plug these values back into the expression:

125 * 10 * 125 * 10

Multiply the numbers:

125 * 10 * 125 * 10 = 156250

So, the value of the expression x^3 * y^1 * x^3 * y^1 when x = 5 and y = 10 is 156250.

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someone pls me out with this problem. Divide m2n2/p3 by mp/n2

Answers

Answer:

[tex]\dfrac{mn^5}{p^4}[/tex]

Step-by-step explanation:

As with dividing any fractions, invert the denominator and multiply. Use the rules of exponents to combine factors.

[tex]\dfrac{\dfrac{m^2n^3}{p^3}}{\dfrac{mp}{n^2}}=\dfrac{m^2n^3}{p^3}\cdot\dfrac{n^2}{mp}\\\\=\dfrac{m^2n^3n^2}{p^3mp}=\dfrac{m^{2-1}n^{3+2}}{p^{3+1}}=\dfrac{mn^5}{p^4}[/tex]

_____

The applicable rules are ...

[tex]a^ba^c=a^{b+c}\\\\\dfrac{a^b}{a^c}=a^{b-c}[/tex]

Sarah would like to make 5 lb. nut mixture that is 60% walnuts and 40% cashews. She has several pounds of walnuts and several pounds of a mixture that is 20% walnuts and 80% cashews. Let w represent the number of pounds of walnuts needed to make the new mixture, and let m represent the number of pounds of the 80% cashew - 20% walnut mixture.
a) Write a system of linear equations that models this situation?
b) Which of the following is a solution to the system: 2 lb walnuts and 3 lb mixture OR 2.5 lb walnuts and 2.5 lb mixture? Show your work.

Answers

Answer:

a) w+c = 5 ____equation(1) and w = c ____equation (2)

b) 2.5 lb walnuts and 2.5 lb cashews

Step-by-step explanation:

Let w pounds be the weight of walnuts required and c pounds be the weight of cashews required to make the new mixture.

Total weight of the new mixture = 5 lb

So,

Weight of walnuts + Weight of cashews = Total weight of the new mixture

w+c = 5 ____equation (1)

Now,

60% of walnuts +40% of cashews = 20% of walnuts + 80% of cashews

0.60w+0.40c = 0.20w+0.80c

Subtracting 0.20w from both the sides of the equation, we get

0.60w+0.40c-0.20w = 0.20w+0.80c-0.20w

Cancelling out the 0.20w and -0.20w from the right side, we have

0.60w-0.20w+0.40c = 0.80c

=> 0.40w+0.40c=0.80c

Subtracting 0.40c from both sides, we get

0.40w+0.40c-0.40c=0.80c-0.40c

Cancelling out 0.40c and -0.40 c form the left side, we get

0.40w = 0.40c

Dividing both sides by 0.40, we have

[tex]\frac{0.40w}{0.40} = \frac{0.40c}{0.40}[/tex]

Cancelling out the 0.40's from the top and bottom, we get

w = c ____equation (2)

Plugging in w=c into the equation 1, we get

w+c = 5

=> c+c =5

=> 2c = 5

Dividing both sides by 2, we get

[tex]\frac{2c}{2} = \frac{5}{2}[/tex]

Cancelling out the 2's from the left, we get

c = 2.5

Plugging in c=2.5 into the equation 1, we get

w+c = 5

=> w + 2.5 = 5

Subtracting 2.5 from both sides, we get

w+ 2.5 -2.5 = 5 - 2.5

Cancelling out the +2.5 and -2.5 from the left side, we get

w = 2.5

So, we need 2.5 lb walnuts and 2.5 lb cashews to make the new mixture.

I need help with my Geometry! i clipped the photo below

Answers

Try this solution:

a) the property of the inscribed quadrilateral is: m∠A+m∠G=m∠H+m∠F=180°.

It means (for m∠A+m∠G=180°), 21x-2+38x+5=180°, ⇒ x=3, m∠G=63-2=61°.

b) m(arcFAH)=2m∠FGH=2m∠G=122°.

c) x²-2x+y²-4y=11; ⇔ (x²-2x+1)+(y²-4y+4)=16; ⇔ (x-1)²+(y-2)²=4², where (1;2) is the centre and 4 - radius of this circle.

The owner of a retail store is tracking his inventory for an annual report. The graph below shows the remaining inventory for a particular item and the number of days that have passed since the stock was replenished. A store employee performs most of the daily unit counts, but the owner personally recorded that there were 61 units remaining after 3 days and 33 units remaining after 13 days. Use these two data points to determine the equation for the line of best fit for the store's inventory. Write the answer in decimal form.

Answers

Answer:

y = -2.8x +69.4

Step-by-step explanation:

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:

... y -y1 = (y2-y1)/(x2 -x1)(x -x1)

Filling in the given point values, we have ...

... y -61 = (33 -61)/(13 -3)(x -3)

Simplifying and adding 61, we get ...

... y = -2.8x +69.4

evaluating functions

Answers


(-1/4)x + 2 = 8

Multiply all terms by 4.

(-1)x + 8 = 32

Simplify.

-x + 8 = 32

Subtract 8 from both sides.

-x = 24

Multiply both sides by -1.

x = -24.

The value of x is equal to -24.

-1/4(-24) + 2 = 8


Final answer:

Evaluating functions is the process of substituting a specific value in place of the variable in a function to compute a result. For example, given the function f(x) = x^2, if asked to find f(2), you would replace x with 2 resulting in 4.

Explanation:

Evaluating functions in mathematics involves inserting a specific numerical value or a variable into a function to compute a result. For example, if you're given the function f(x) = x^2, and you're asked to find f(2), you simply substitute 2 in place of x in the function, resulting in 2^2, which equals 4.

For instance, if we were to evaluate f(5) for the given function, it would give the result 25 because 5^2 = 25. Hence, simply put, to evaluate a function is to replace the variable with the input value, and compute the result.

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Find the missing side. Round to the nearest tenth.

Answers

Answer:

[tex]x=7.2\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle of the figure

The tangent of angle of 67 degrees is equal to divide the opposite side to the angle of 67 degrees (17 units) by the adjacent side to angle of 67 degrees (x units)

[tex]tan(67\°)=17/x[/tex]

Solve for x

[tex]x=17/tan(67\°)[/tex]

[tex]x=7.2\ units[/tex]

Pvc pipe is manufactured with a mean diameter of 1.01 inch and a standard deviation of 0.003 inch. the diameters are known to be normally distributed. find the probability that a random sample of n = 9 sections of pipe will have a sample mean diameter greater than 1.009 inch and less than 1.012 inch.

Answers

Answer:

about 82%

Step-by-step explanation:

The distribution of sample means has a standard deviation that is the pipe standard deviation divided by the square root of the sample size. Thus, the standard deviation of the sample mean is 0.003/√9 = 0.001.

Then the limits on sample mean are 1.010 - 1×0.001 = 1.009 and 1.010 +2×0.001 = 1.012. The proportion of the normal distribution that lies between -1 and +2 standard deviations is about 81.9%.

Final answer:

The problem involves statistical calculation involving mean, standard deviation, and Z-scores of a normal distribution. We first calculate sample standard deviation, then the Z-scores for the given range. After finding probabilities for the Z-scores, we subtract to get the final probability of 0.8185.

Explanation:

The problem at hand involves the field of statistics, specifically, the normal distribution, sample mean, and standard deviation. We can use the following steps to solve the problem:

Determine the standard deviation of the sample. Given the standard deviation of the population (σ population) is 0.003 inch and the sample size (n) is 9, we use the formula σ sample = σ population/sqrt(n), which gives 0.003/sqrt(9) = 0.001.Calculate the Z-scores for 1.009 and 1.012. The Z-score is determined by the formula: Z = (X - μ) / σ. For X=1.009, Z1 = (1.009-1.01)/0.001 = -1. For X=1.012, Z2 = (1.012-1.01)/0.001 = 2.Using a Z-table or appropriate statistical software, find the probability corresponding to these Z-scores. The probability for Z1=-1 is 0.1587, and for Z2=2, it is 0.9772.Lastly, subtract the smaller probability from the larger one to get the probability that a sample mean is greater than 1.009 but less than 1.012. So, the answer is 0.9772 - 0.1587 = 0.8185.

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The logistic growth function Upper P left parenthesis x right parenthesis equals StartFraction 90 Over 1 plus 271 e Superscript negative 0.122 x EndFraction P(x)= 90 1+271e−0.122x models the​ percentage, P(x), of Americans who are x years old and have some coronary heart disease. Use this function to find the the percentage of 66 66​-year olds who have some coronary heart disease.

Answers

Answer:

about 83%

Step-by-step explanation:

Put the given value in the formula and do the arithmetic.

... P(66) = 90/(1 +271·e^(-0.122·66))

... = 90/(1 +271·e^-8.052)

... = 90/(1 +271·0.00031846)

... = 90/(1 +0.0863)

... = 90/1.0863

... = 82.8 . . . . percentage with some coronary heart disease

What is the probability of flipping a coin 15 times and getting heads 10 times? Round your answer to the nearest tenth of a percent.

Answers

The coin is flipped 15 times and you get 10 heads, is written as 10/15.

10/15 = 0.66666  = 66.7%

Answer:

9.2%

Step-by-step explanation:

please answer quickly thank you

Answers

X is either 25 or 45

For this case, we have that by definition:

Let "x" be an angle of any vertex of a right triangle.

[tex]tangent (x) = \frac {Cathet \ opposite} {Cathet \ adjacent}[/tex]

So, if we want to find the angle x of the triangle shown we have:

[tex]tangent (x) = \frac {13} {6}\\x = arc \ tangent (\frac {13} {6})\\x = 65.23[/tex]

Rounding:

[tex]x = 65\ degrees[/tex]

Answer:

65 degrees

Option d


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