Airplane X left the airport, flying at a rate of 400 miles per hour. Airplane Y left 2 hours later, flying at a rate of 450 miles per hour. How long will it take airplane Y to catch up to airplane X?

Using the binomial distribution, it is found that there is a 0.0058 = 0.58% probability that the sample contains exactly two defective parts.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we want P(X = 2) with p = 0.025, n = 5, hence:

[tex]P(X = 2) = C_{5,2}.(0.025)^{2}.(0.975)^{3} = 0.0058[/tex]

There is a 0.0058 = 0.58% probability that the sample contains exactly two defective parts.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

A. Directions: Encircle the letter of the correct answers

Step-by-step explanation:

1.the I in resign sounds like the I in.

A. hit B. High

Answer:

49.12

Step-by-step explanation:

Area of triangle =1/2 x b x h

=24

semi circle =(pie rxr)divuded by 2

=25.12

so, 25.12 +24=49.12

Given the current yield to maturity of the bond, the price of the bond five years for now is $883.10.

The first step is to determine the yield to maturity of the bond. The yield to maturity is the return on the bond if the bond is held to matuity.

Yield to matuity can be determined using a financial calculator:

Cash flow in year 0 = -875

Cash flow each year from year 1 to 25 = 85

Cash flow in year 25 = $1000

Yield to matuity = 9.86%

Future price of the bond: (coupon x future price factor) + [FV / (1 + YTM)^n)]

Future price factor = [1 - (1/YTM)^n] / YTM

= [1 - 1/0.0986^20] 0.0986 = 8.595555

[85 x 8.595555 ] + 152.478323 = $883.10

To learn more about yield to maturity, please check: https://brainly.com/question/26484024

Answer:

2.25 tablespoons of oregano

Step-by-step explanation:

as Diego use 3x more than Tracy, and you know that Tracy use 0.75 tablespoon, so 0.75 x 3 and you will get 2.25

Answer:

b                                                  

Step-by-step explanation:

The solution is, the slope-intercept form equation is, y = -4x -6

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

The given segment has a rise if 1 for a run of 4, so a slope of ...

 m = rise/run = 1/4

The desired perpendicular has a slope that is the negative reciprocal of this:

 m = -1/(1/4) = -4

A point that has a rise of -4 for a run of 1 from the given midpoint is ...

 (-1, -2) +(1, -4) = (0, -6) . .  . . . . . the y-intercept of the bisector

So, our perpendicular bisector has a slope of m=-4 and a y-intercept of b=-6. Putting these in the slope-intercept form equation, we find the line to be ...

 y = mx +b

 y = -4x -6

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ7

Answer:

The probability of a correct guess on the first try is 0.024%.

Since a thief steals an atm card and must randomly guess the correct four -digit pin code from a 8 -key keypad, and repetition of digits is allowed, to determine what is the probability of a correct guess on the first try the following calculation must be performed:

8 x 8 x 8 x 8 = X

8 ^ 4 = X

4096 = X

1/4096 = X

0.000244140625 = X

0.000244140625 x 100 = 0.024%

Therefore, the probability of a correct guess on the first try is 0.024%

Step-by-step explanation:

79.45401²

[tex]1)\ V=B\ Sh[/tex]

[tex]\therefore\ V=3.15\times 3.75\times 5.65[/tex]

[tex]=79.403125[/tex]

[tex]\approx 79,45\ cm^3[/tex]

I hope this helps you

:)

Rounded to the nearest hundredth, the volume of the prism is approximately 79.50 cm^3.

To find the volume of a prism, we use the formula:

Volume = Base Area * Height

In this case, the prism has a square base with each side of length 3.75 cm and a height of 5.65 cm. The formula for the area of a square is:

Base Area = Side Length^2

So, the base area can be calculated as:

Base Area = 3.75 cm * 3.75 cm = 14.0625 cm^2

Now, we can find the volume using the formula:

Volume = Base Area * Height

Volume = 14.0625 cm^2 * 5.65 cm

Volume ≈ 79.5025 cm^3

To know more about volume:

https://brainly.com/question/32006008

#SPJ2

Answer:

B i had this text and made a 100

Step-by-step explanation:

b

Answer:

>

Step-by-step explanation:

Negative is that amount below zero. For example -3 is 0 - 3. This means that since -3 is 3 less than 0, -3 < 0. This can also be said as 0 > -3.

Answer:

Answer: 0 (> )-3

Step-by-step explanation:

Hope it helps

Answer:

C

Step-by-step explanation:

For a monthly sales figures at 5600 and expected to fall for the following 9 months at a rate of 2% each month, the  total sales for the next two years  is mathematically given as

A=11968.04

Generally,  the  total sales  is mathematically given as

A=5600(1-2/100)^9(1+4/100)^24

A=5600(.98)^9(1.04)^24

A=11968.04

In conclusion, total sales for the next two years

A=11968.04

Read more about Arithmetic

https://brainly.com/question/22568180

Answer:

12 cm

Explanation:

The formula or method to find the area of any shape is to go around the shape.

In this case, they are 3, 4 and 5.

p = 3 + 4 + 5

p = 12 cm

Step-by-step explanation:

According to the question,

Let the width of rectangle be x and length of rectangle be 3x

Perimeter of Rectangle :- 2(L+B) = 64 in

Putting the values we get ,

2(3x+x) = 64 in

8x = 64 in

x = 8 in

Putting the value of x ,

Width :- 8 Inch

Length :- 24 inch

[tex]\rightarrow[/tex] Length(l) of the rectangle is three times it's width(w) = 3w.

[tex]\rightarrow[/tex] Width(w) of the rectangle = w.

[tex]\rightarrow[/tex] Perimeter of the rectangle = 64in.

[tex]\rightarrow[/tex]Length and width of the rectangle.

[tex]\rightarrow[/tex] Perimeter of rectangle = [tex]\sf{2(l+w)}[/tex] putting the value of perimeter, l and w from the above given)

[tex]\rightarrow[/tex] 64 = [tex]\sf{2(3w+w)}[/tex]

[tex]\rightarrow[/tex] 64 = [tex]\sf{2(4w)}[/tex]

[tex]\rightarrow[/tex] 64 = [tex]\sf{8w}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{\frac{64}{8}}[/tex]= [tex]\sf{w}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{8}[/tex]= [tex]\sf{w}[/tex]

Therefore, width of the rectangle = 8in.

And Length = 3(8)in. = 24in.

To check whether the answer is correct or not, we can put the value of length and width in the formula = [tex]\sf{2(l+w)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 2(24+8)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 2(32)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 64in.}[/tex]

Since, the perimeter of the rectangle is same as given in the question, therefore the value of length and width are correct.

_______________________________

Hope it helps you:)

Answer:

D. 45

Step-by-step explanation:

To find out how many games will be played with 10 people, we need to first find the pattern of the given table. To start out, we can see that for the numbers of players added, it adds one each time it goes up one number. And, we can also see that starting at 1 games played, it adds 2 for the next and gets 3 games. Then it adds 3 to get 6 games. So, we can see that for every added person added, it starts at 1 and adds 2, then adds, 3, 4, 5, 6, etc... Knowing this, we can figure out how many games will be played with 10 people.

2 people gets 1 games

+1                    +2

3 people get 3 games

+1                    +3

4 people get 6 games

So, now we can simply skip to 6 and seven players becuase we know that the pattern holds true to itself.

6 people get 15 games

+1                   +6

7 people get 21 games

+1                   +7

8 people get 28 games

+1                    +8

9 people get 36 games

+1                   +9

10 people get 45 games

The actual distance between the cities is 200 km using multiplication.

The scale of the map is 3 cm : 20 km. This means that for every 3 cm on the map, the actual distance in real life is 20 km.

If two cities are 30 cm apart on the map, we can use the scale to find the actual distance between them. First, we need to determine how many times the scale goes into the distance on the map. To do this, we divide the distance on the map by the length of the scale:

30 cm ÷ 3 cm/20 km = 30 ÷ 3 × 20 = 200 km

Therefore, the actual distance between the two cities is 200 km.

Alternatively, we can use the proportionality between the scale and the actual distance to set up a proportion and solve for the actual distance. Let x be the actual distance between the cities in kilometers:

3 cm / 20 km = 30 cm / x

Cross-multiplying and solving for x, we get:

x = (20 km / 3 cm) × 30 cm = 200 km

Learn more about distance here:

https://brainly.com/question/15172156

#SPJ1

This is the same as saying 0.2659 < p < 0.4541

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

Work Shown:

At 95% confidence, the z critical value is about z = 1.96 which is determined through a table or calculator.

x = number of people who had kids = 36

n = sample size = 100

phat = sample proportion of those who had kids

phat = x/n

phat = 36/100

phat = 0.36

E = margin of error

E = z*sqrt(phat*(1-phat)/n)

E = 1.96*sqrt(0.36*(1-0.36)/100)

E = 0.09408

This value of E is approximate because z = 1.96 is approximate.

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

L = lower bound

L = phat - E

L = 0.36 - 0.09408

L = 0.26592

L = 0.2659

U = upper bound

U = phat + E

U = 0.36 + 0.09408

U = 0.45408

U = 0.4541

The values of L and U are approximate since E is approximate.

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

The confidence interval in the format (L, U) is (0.2659, 0.4541)

This is equivalent to writing 0.2659 < p < 0.4541

which is the format L < p < U

We're 95% confident that the true population proportion (p) is somewhere between 0.2659 and 0.4541; i.e. we're 95% confident the true percentage of people who had kids is somewhere between 26.59% and 45.41%

Answer:

A. The solution is the region where both shaded parts overlap.

Step-by-step explanation:

The solution to a system of linear inequalities is the intersection region of the solution of both inequalities. Or you could also say that it's the region where the graphs of the inequalities in the system overlap.

The shaded area represents the solution and where the two inequalities overlap.

The exponential equation that gives the number of bees in week 12 is of:

[tex]y = 4(3)^{11} = 708588[/tex]

It is modeled by:

[tex]y = ab^x[/tex]

In which:

In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:

[tex]y = 4(3)^{x - 1}[/tex]

Hence, after 12 weeks, the expression is:

[tex]y = 4(3)^{11} = 708588[/tex]

More can be learned about exponential equations at https://brainly.com/question/25537936

Answer:

4 • 3^11

Step-by-step explanation:

Answer:

38.5 cm²

Find area of the full rectangle:

Length * Width

6 * 7

42 cm²

Find area of the missing triangle

1/2 * base * height

1/2 * 7 * 1

3.5 cm²

Area of the figure:

42 - 3.5

38.5 cm²

Answer:

where is the figure

pls send it

Answer:

3,1,5

Step-by-step explanation:

Answer:

[tex]u^2+3u+9[/tex]

Step-by-step explanation:

The way to remember it, is like the square of a binomial, but all coefficients are 1.

So it's the square of the first term. The cross product. The square of the second. And you take only one of them.

In our situation is [tex]u^2+3u+9[/tex]

If you want a way to find it, the way you think is it. It's a second degree polynomial, so [tex]au^2+bu+c[/tex]. Then you multiply the terms together, and you have to get terms removing in a way that you're left with just [tex]u^3-27[/tex]. With some number crunching you'll end up with [tex]a=1; b=3, c=9[/tex]