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3 years ago

Please help me and i will try my best to give you a brainliest!! thank you

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

6 0

The slope is 3/2(
0,4) and (2,7) the distance is 3 rising and 2 to the side. Remember rise over run so I would be 3/2

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Anyone know the answer?

omeli [17]

The answer is 20.24

After rounding, it becomes 20.2

7 0

3 years ago

Starting at 6 a.m. every morning, Matilda receives text messages on her cell phone from her mother, her best friend, and her bro

Dafna1 [17]

Answer:

a) 0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

b) $1.6 \times 10^{-9}$ probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

Two from the best friend:

Her best friend sends a message once every 10 minutes.

From 6 to 7:30, there is an hour and a half, that is, 90 minutes, so the mean for her best friend is $\mu = \frac{90}{10} = 9$

Two messages is P(X = 2). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-9}*9^{2}}{(2)!} = 0.0050$

Two from the mother:

Message every hour = 60 minutes. So $\mu = \frac{90}{60} = 1.5$ . This is P(X = 2).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-1.5}*1.5^{2}}{(2)!} = 0.2510$

Two of her best friend and two of her mother:

Independent events, so the probability of both happening is the multiplication of their separate probabilities.

$p = 0.005*0.251 = 0.0013$

0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

In 3 hours, she is expected to receive:

3*60/10 = 18 messages from her best friend.

3*60/60 = 3 messages from her mother.

3*60/30 = 6 messages from her brother.

In total, 27 messages.

75% probability of a typo, so $\mu = 0.75*27 = 20.25$

This is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-20.25}*20.25^{0}}{(0)!} = 1.6 \times 10^{-9}$

$1.6 \times 10^{-9}$ probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

8 0

3 years ago

Solve the equation. Then check your solution.<br> 5/9d = 9/10

sdas [7]

Answer:

$d=1.62$

The equation is TRUE.

Step-by-step explanation:

To solve the given equation:

$\frac{5}{9}d=\frac{9}{10}$

You need to find the value of the variable "d". You can apply this procedure:

- Multiply both sides of the equation by 9:

$(9)(\frac{5}{9}d)=(\frac{9}{10})(9)\\\\5d=\frac{81}{10}\\\\5d=8.1$

- Divide both sides of the equation by 5:

$\frac{5d}{5}=\frac{8.1}{5}\\\\d=1.62$

Check the solution substituting the value of "d" into the equation and evaluating:

$\frac{5}{9}(1.62)=\frac{9}{10}\\\\0.9=0.9\ (TRUE)$

3 0

3 years ago

The ratio of the measures of two complementary angle is 1:8, find the measure of each angle, the small and the large

anygoal [31]

1X+8X=90

9X=90

X=10
so one of them is 10 and the other one is 8 times 10 which become 80

4 0

4 years ago

The radius of a cylindrical gift box is (4xplus1) inches. The height of the gift box is three times the radius. What is the su

denis23 [38]

Answer:

$(5x+1)\pi$

Step-by-step explanation:

Given:

The radius of a cylindrical gift box = $4x+1$

The height of the gift box is three times the radius.

Question asked:

What is the surface area of the cylinder ?

Solution:

The height of the gift box is three times the radius means,

$height = 3(4x+1)$

$= 3\times4x+3\times1\\= 12x+3$

Now, surface area of the cylinder = $2\pi r(r+h)$

$=2\pi[4x+1](4x+1+12x+3)\\=8\pi x+2\pi(16x+4)\\=8\pi x+32\pi x+8\pi\\=40\pi x+8\pi\\=8\pi(5x+1) \ Taking \ common$

Therefore, surface area of the cylinder is $(5x+1)\pi$ .

8 0

3 years ago