A certain flight arrives on time 80

percent of the time. Suppose 131

flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that
​(a) exactly 103

flights are on time.
​(b) at least 103

flights are on time.
​(c) fewer than 98

flights are on time.
​(d) between 98

and 117
​,
inclusive are on time.

Answer:

f<−1+15/x

Step-by-step explanation:

The value of x in the triangle ABC is 25.

The interior angles of the triangle are given as m∠A = 3x and m∠B = 50°.

The exterior angle of the triangle is given as m∠ACD = 5x.  

The sum of angle in a triangle is equals to 180 degrees. Therefore,

3x + 50 + (180 - 5x)  = 180

3x + 50 - 5x + 180 = 180

3x - 5x + 50 + 180 = 180

-2x + 230 = 180

subtract 230 from both sides

-2x + 230 - 230 = 180 - 230

-2x = -50

divide both sidesby -2

-2x / -2 = -50 / -2

x = 25

learn more on triangles here: https://brainly.com/question/27100907

Answer:

False (no)

Step-by-step explanation:

A polygon needs at least three straight sides and angles

I too hunder percent agree

Answer:

8f-14g is the answer

Step-by-step explanation:

Answer: it is -1, because y has no more complete prime factors

Step-by-step explanation:

[tex]\displaystyle \int \dfrac{dx}{5x^2 -10x +15}\\\\\\=\displaystyle \int \dfrac{dx}{5(x^2-2x+3)}\\\\\\=\dfrac 1 5 \displaystyle \int \dfrac{dx}{x^2-2x+3}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{dx}{x^2 -2x +1^2 -1 +3}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{dx}{(x-1)^2+2}\\\\\\=\dfrac 15 \displaystyle \int \dfrac{du}{u^2 +\left(\sqrt 2 \right)^2}~~~~~~~~~;[x-1 =u \implies dx = du]\\\\\\\\[/tex]

[tex]=\dfrac 1 {5\sqrt 2} \tan^{-1} \left( \dfrac u{\sqrt 2}\right)+C~~~~~~;\left[\displaystyle \int \dfrac{dx}{a^2 +x^2} = \dfrac 1a \tan^{-1} \left( \dfrac xa \right) +C\right]\\\\\\=\dfrac{1}{5\sqrt 2} \tan^{-1} \left( \dfrac{x-1}{\sqrt 2}\right)+C[/tex]

Answer:

1.33

Step-by-step explanation:

2.87349 rounded to the nearest thousandth is 2.873 because the number next to it (4) is less than 5.

1.54324 rounded to the nearest thousandth is 1.54324 is 1.543 because the number next to it (2) is less than 5.

Then you do 2.873 - 1.543 and that = 1.33. So 1.33 is your final answer :)

Step by step explanation: The last answer i wrote was wrong, so i retook the quiz and got 100% and this was right.

Answer:

.C ,375

I HOPE THIS helps  i just know i got connect shons

Answer:

12144

Step-by-step explanation11213123:

Answer:

0.5

Step-by-step explanation:

An equation is written as :

Taking the first row data (x = 2, y = 1),

Answer:

Option A, 0.5

Step-by-step explanation:

Step 1:  Determine the slope/proportionality

[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]Slope = \frac{1.5-1}{3-2}[/tex]

[tex]Slope = \frac{0.5}{1}[/tex]

[tex]Slope =0.5[/tex]

Answer:  Option A, 0.5

Answer:

8

Step-by-step explanation:

P=2(l+w)=2·(1+3)=8 The length was 1 and the width was 3.

Answer:

C is true

Step-by-step explanation:

The only true answer is C.

If a is 2 times greater than b, then:

A. is not possible because both sides are equal

B. is not possible because b is 2 times greater

D. is not possible because both sides are equal

Beth salary in 14 years would be $62900.

Simple interest is the borrowing amount added only to the principal amount.

Given, Beth currently brings in an annual salary of $37,000 and anticipates a raise of 5% every year.

To find the interest rate:

The formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100 ,

Where S.I. is simple interest , P is principal amount, T is time period and R is interest rate in a year.

And according to the question,

P = 37000, T = 14 years and R = 5%

Substituting all the values to the formula,

S.I. = P x T x R / 100

S.I. = 37000 x 14 x 5 / 100

      = 25900

Beth final salary = principal amount + interest rate

                           = 37000 + 25900

                          = 62900

Therefore, Beth salary after 14 years is $62900.

To learn more about the simple interest; https://brainly.com/question/25845758

#SPJ2

Answer:

Step 1 The two sides we know are Opposite (300) and Adjacent (400).

Step 2 SOHCAHTOA tells us we must use Tangent.

Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.

Step 4 Find the angle from your calculator using tan-1

Answer:

947393

Step-by-step explanation:

Answer:

What culture is your piece of art from?

Italian Renaissance

Why did you choose this piece?

Beacuse its a beautiful piece of artwork made by one of my favorite artist.

Step-by-step explanation:

Answer:

255cm²

Explanation:

To find the area of the triangle we must us a formula which is base x height ÷ 2 divide. So on the left side it is 17 cm and on the right without the triangle it is 10 so the triangle is 7cm tall. Next on the bottom without the triangle it is 22 and with it is 12 so the base is 10 now we multiply them which will be 70 then divide it by 2 which is 35cm².

And dont forget the squared!!

Answer:

A) 5

Step-by-step explanation:

distance = √(distance between x coordinates² + distance between y coordinates²)

the horizontal distance between the two points is 4

the vertical distance between the two points is 3

to prove this, if you started at Q and went 4 points right and then 3 points up, you would get to P

distance = √(4²+3²) = √25 = 5

Answer:

1. you will multiply base times height:

16m * 12m = 192 sq m

2. same steps but just multiply it by two because its "twice as long"

18 cm * 6 cm = 108 * 2= 216

3. now for this one sice we are finding the base we will have to divide the 432 by 18 = 24

4. same steps like in question 1:  

12 * 5 = 60

5. same steps like in question 1:

7 * 10 = 70

Step-by-step explanation:

hope this helps and have a great day!! :)

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,

Length of the rectangle = 1.618 × 15 feet = 24.27 feet

Now, the perimeter of the rectangle can be written as,

[tex]\rm \text{Perimeter of the rectangle} = 2(Length+ Width) \\\\\text{Perimeter of the rectangle} = 2(24.27+15)\\\\\text{Perimeter of the rectangle} = 78.54 \approx 79\ feet[/tex]

Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.

Learn more about Golden Rectangle:

https://brainly.com/question/3811402

#SPJ1

Answer:

0.5656854249

Step-by-step explanation:

1000(0.0128/200)

1000(0.11314/200)

1000(0.0005656854)

=0.5656854249

Answer:

T = 2

Step-by-step explanation:

Take the given formulaer

I = PRT

And plug in the variables you know (I, P, R)

387.50 = 1,550(.125)T

(12.5% becomes .125 after you divide it by 100, because precents are really just fractions out of 100)

387.50 = 193.75T

T = 2

Answer:

He generates a random whole number from 1 to 3.

Step-by-step explanation:

Each winner has 3 possibilities, gets cotton candy, gets a shirt, or gets a keychain. We can asign each of this possibiltiies a number, 1 for cotton candy, 2 for the shirt and 3 for a keychain. So, for a simulation, its enough to take one of this whole numbers for each winner.

Answer:

[tex](x+2)^2+(y-9)^2=[/tex] 90

Step-by-step explanation:

The centre is (-2,9) so the first part of the equation will be (x+2)^2 + (y-9)^2 and to get the second half, you know the point on the circle which you can use to find the radius. So the triangle formed would be 3 long, 9 high and using Pythagoras you can do:

[tex]3^2+9^2=r^2[/tex]

9+81= [tex]r^2\\[/tex]

90 = [tex]r^2[/tex]

and this equation ends with r^2 so you can substitute that back into the equation so together it will be

[tex](x+2)^2+(y-9)^2=[/tex] 90

Answer:

? = 36

Step-by-step explanation:

Knowing that 3/5 and 24/40 is equal

Therefore we can either use:

3/5 = ?/60 or 24/40 = ?/60

I will use 3/5 = ?/60

Let ? = x

Hence we have

3/5 = x/60

Multiply both sides by 10

6 = x/6

Multiply both sides by 6

x = 36

Therefore, the question mark = 36

Let's check the answer by Simplifying the fraction:

3/5 = 36/60

3/5 is in already simplify

36/60 simplify = 3/5

3/5 = 3/5

Thus, the question mark = 36

[RevyBreeze]

Step-by-step Solution:

Let the "?" be known as "x".

Given equation:

3/5 = 24/40 = x/60

Therefore, we obtain the following equations:

Clearly, the second and the third equation have the "x" variable included. Therefore, we will only focus on the second and third equations.

Note: We can choose any equation to solve for x. The value of x in both equations will be the same as 3/5 = 24/40.

Determining the "x" variable in Equation 2:

Determining the "x" variable in Equation 3:

Therefore, the value of "?" is 36.

Fraction are ratio of two integers. It will take Amen 20 days to do the task alone

From the given question, we have the following information

Let the number of days Amen can take to complete a task be x

If Payson is thrice as fast as Amen at completing a task, then the number of das Payson takes will be 3x

If they both pick up a task together, and complete it in 5 days, then;

1/x + 1/3x = 1/5

Find the LCM
3+1/3x = 1/5

4/3x = 1/5

Cross multiply

3x = 20

Determine the time taken by Amen:

x =20/3

This shows that it will take Amen 20 days to do the task alone

Learn more on proportions here: https://brainly.com/question/19994681

Answer:

C

Step-by-step explanation:

Exponential form is y = b^x, with b as the base, and logarithmic form is x = log_b(y).

In this case, 10 is the base, 4 is x, and 10,000 is y. In logarithmic form, this can be changed into 4 = log_10(10,000). Logarithms with base 10 can also be written as 4 = log(10,000). Therefore C is the correct answer.

Answer: 3/20

Step-by-step explanation:

Inital Equation:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{6}{1}[/tex]

Find the Recipricol of 6/1:

It's: 1/6

Multiply the Recipricol of 6/1 (1/6) by 9/10

9/10 x 1/6 = 9/60

Simplify

9/60 = 3/20

Answer: 3/20