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3 years ago

What is the answer??

Mathematics

1 answer:

kaheart [24]3 years ago

7 0

Since the diameter is 12cm, we will use the radius formula = d/2= r

12/2 = 6cm

Area:
A = 3.14(r)^2

A = 3.14(6)^2

A = 3.14(36)

Answer:
A= 113.04 sq cm

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W many solutions does this linear system have?y = 2x – 5 –8x – 4y = –20

Brums [2.3K]

Using substitution

-8x-4(2x-5)=-20
-8x-8x+20=-20
-16x+20=-20
-16x=-40
x=2.5

Plug x into one of the original equations.
y=2(2.5)-5
y=5-5
y=0

Final answer: 1 solution (2.5, 0)

5 0

2 years ago

Which is an equation of the line that passes through (-1,-5) and (-3,-7)?

STatiana [176]

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

Let's first find the slope. Below is how you find the slope using two points:

The formula for slope is

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case we have the two points:

(-1, -5) and (-3, -7)

This means that:

$y_{2} =-7\\y_{1} =-5\\x_{2} =-3\\x_{1} =-1$

^^^Plug these numbers into the formula for slope...

$\frac{-7-(-5)}{-3-(-1)}$

$\frac{-2}{-2}$

^^^This is your slope

This is the formula we have so far:

y = 1x + b

y = x + b

Now we must find b

To do that you must plug in one of the given points the line goes through in the x and y of the equation.

(-1, -5)

-5 = 1(-1) + b

-5 = -1 + b

-4 = b

(D) y = x - 4

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0

3 years ago

Read 2 more answers

Multiply four and eight tenths multiplied by three.

Romashka [77]

Fourteen and four tenths

4 0

3 years ago

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Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number o

Ksenya-84 [330]

Answer:

Step-by-step explanation:

Step1:

We have Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t

Step2:

Let “X” the number of small aircraft that arrive during time t and it follows poisson distribution parameter “”

The probability mass function of poisson distribution is given by

P(X) = , x = 0,1,2,3,...,n.

Where, μ(mean of the poisson distribution)

a).

Given that time period t = 1hr.

Then,μ = 8t

= 8(1)

= 8

Now,

The probability that exactly 6 small aircraft arrive during a 1-hour period is given by

P(exactly 6 small aircraft arrive during a 1-hour period) = P(X = 6)

Consider,

P(X = 6) =

= 0.1219.

Therefore,The probability that exactly 6 small aircraft arrive during a 1-hour period is 0.1219.

1).P(At least 6) = P(X 6)

Consider,

P(X 6) = 1 - P(X5)

= 1 - {+++++}

= 1 - (){+++++}

= 1 - (0.000335){+++++}

= 1 - (0.000335){1+8+32+85.34+170.67+273.07}

= 1 - (0.000335){570.08}

= 1 - 0.1909

= 0.8090.

Therefore, the probability that at least 6 small aircraft arrive during a 1-hour period is 0.8090.

2).P(At least 10) = P(X 10)

Consider,

P(X 10) = 1 - P(X9)

= 1 - {+++++

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3 years ago

36 red beads, 49 green and 76 blue beads are to be packed into packets, each containing 3 red, 5 green and 7 blue beads respecti

lakkis [162]

9 packets.

36 divided by 3 = 12
49 divided by 5 = 9.8
76 divided by 7 = 10.8

Maximum packets that can be obtained is 9 packets because only 9 packets with 5 green beads each can be packaged.

6 0

2 years ago