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3 years ago

Due tmr help plssssss‼️

Mathematics

1 answer:

Inga [223]3 years ago

6 0

Answer:

5π units

Step-by-step explanation:

The arc length of a semicircle is calculated as

length = $\frac{1}{2}$ πd ( d is the diameter ) , then

length = $\frac{1}{2}$ π × 10 = 5π units ← exact answer

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Prescription for marilyn jones

sattari [20]

Answer:

The pharmacy should give Marilyn 135 tablets to fill the isoniazid for 45 days

Step-by-step explanation:

Marilyn has to take isoniazid 100 milligrams tablet 3 times a day which means three tablets a day.

The pharmacy has to provide the tablets for 45 days

So,

Total tablets that will be provided by the pharmacy are:

45*3 = 135 tablets ..

4 0

3 years ago

Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose

Furkat [3]

Answer:

a) 0.164 = 16.4% probability that a disk has exactly one missing pulse

b) 0.017 = 1.7% probability that a disk has at least two missing pulses

c) 0.671 = 67.1% probability that neither contains a missing pulse

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).

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.

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Poisson mean:

$\mu = 0.2$

a. What is the probability that a disk has exactly one missing pulse?

One disk, so Poisson.

This is P(X = 1).

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

0.164 = 16.4% probability that a disk has exactly one missing pulse

b. What is the probability that a disk has at least two missing pulses?

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = \frac{e^{-0.2}*0.2^{0}}{(0)!} = 0.819$

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.819 + 0.164 = 0.983$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.983 = 0.017$

0.017 = 1.7% probability that a disk has at least two missing pulses

c. If two disks are independently selected, what is the probability that neither contains a missing pulse?

Two disks, so binomial with n = 2.

A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so $p = 0.181$

We want to find P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.181)^{0}.(0.819)^{2} = 0.671$

0.671 = 67.1% probability that neither contains a missing pulse

8 0

3 years ago

What is the slope of line PQ?

Scilla [17]

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

<u>Part a) Find the slope of line PQ</u>

$P(-8,2)\ Q(4,2)$

substitute in the formula

$m=\frac{2-2}{4+8}$

$m=\frac{0}{12}=0$

Any line parallel to X-axis has slope equal to zero

the line PQ is parallel to the x-axis

therefore

<u>the answer Part a) is </u>

$0$

<u>Part b) Find the slope of line MN</u>

$M(8,6)\ N(8,-8)$

substitute in the formula

$m=\frac{-8-6}{8-8}$

$m=\frac{-14}{0}$

Anything divided by zero is undefined

m=undefined

therefore

<u>the answer Part b) is </u>

undefined

<u>Part c) How are the two lines related ? </u>

we know that

Any line perpendicular to X-axis has slope undefined

Because the term $(x2-x1)$ will always be zero

<u>the answer Part c) is</u>

the lines are perpendicular

8 0

4 years ago

Read 2 more answers

Please answer the question in the picture above

Andreas93 [3]

The difference between the masses is
4.55·10¹³ kg -1.78·10¹² kg
= 4.55·10¹³ kg - 0.178·10¹³ kg
= (4.55 -0.178)·10¹³ kg
= 4.372·10¹³ kg

Rounded to the appropriate precision, the mass of the Antarctic iceberg exceeds that of the Rock of Gibraltar by ...
4.37·10¹³ kg

7 0

3 years ago

Giovanni was playing with blocks and started with one blue triangular block and kept adding more

raketka [301]

Blocks would he need on the 12th step of the pattern is 34.

The correct option is A

<h3></h3><h3>What is series?</h3>

A series is the cumulative sum of a given sequence of terms.

Given:

We can write the series as follows:

1,4,7,10,13,.......

First term =1

common difference= 4-1=3

Using Arithmetic series

$a_{12}\\$ = a+11d

= 1 +11*3

= 1+33

= 34.

Hence, 34 blocks need on 12th step.

Learn more about arithmetic series here:

brainly.com/question/2171130

#SPJ1

7 0

2 years ago