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stepladder [879]

3 years ago

10

Karen had 200 after spending y pesos on a notebook,she bought 4 colored pens with the rest of her money,what was the price of ea

ch pen if. Y=80
I need it know

1 answer:

pickupchik [31]3 years ago

8 0

Answer:

<u>30 pesos</u>

Step-by-step explanation:

<u>Given</u>

Had 200 pesos originally
spends 'y' pesos on a notebook
Bought 4 colored pens with the rest of the money

<u>Solving</u>

Let money of the pen = x, money of notebook = y
4x + y = 200
4x + 80 = 200
4x = 120
x = <u>30 pesos</u>

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4. Which of the following sets of ordered pairs is a function?

alisha [4.7K]

Answer:

a

Step-by-step explanation:

Thing that x = a kid and y = it's biological mother

To be a function you need for each x to have only one y !

a. {(x= -3, y = -2), (x= -1, y= 3), (x=0, y= -2), (x= 3, y= 4)} Is a Function

b. {(x= 0, y= 1), (x= 3, y= 2), (x= 5, y= -3), (x= 0, y= 2)} Not a Function because kid x=0 has two biological mothers y=1 and y=2.

c. {(x= -7, y= -7) (x= -2, y= 5),(x= -1, y= 6).(x= -2, y= -5)}Not a Function because kid x= -2 has two biological mothers y= 5 and y= -5

d. {(x= -4, y= -7), (x= -9, y= 5), (x= 4, y= -2), (x= -9, y= 0)} Not a Function because kid x= -9 has two biological mothers y= 5 , and y= 0

6 0

3 years ago

A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili

Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

Step-by-step explanation:

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 time interval.

In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

$18x = 3*31$

$x = \frac{31*3}{18}$

$x = 5.17$

So $\mu = 5.17$

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

So

$P(X \leq 3) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

So

$P(X \geq 4) = 1 - P(X \leq 3)$

In which

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057$

$P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294$

$P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760$

$P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309$

So

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242$

Finally

$P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758$

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

8 0

4 years ago

Need help with this...

garri49 [273]

Answer:

right out the equation solve

Step-by-step explanation:

7 0

3 years ago

9 multiplied by 2 divided by 4

aksik [14]

Okay soo you got 9•2 it equals to 18 then divide 18 by 4 & that will give you 4.5

8 0

3 years ago

Read 2 more answers

When our brains store information, complicated chemical changes take place. In trying to understand these changes, researchers b

Rainbow [258]

Answer:

D) P-045 says that a response this small or smaller would be seen in sample data almost half the time when in fact there is no effect in the entire population of rats. That is, a response this size would often happen just by chance.

Step-by-step explanation:

The P-value represents the probability of getting the test sample results given that the null hypothesis is true.

A P-value that is low enough (smaller than the significance level) gives statistical evidence to support that the null hypothesis is not true.

In this case, a P-value of 0.45 does not represent a strong evidence against the null hypothesis, as there is 45% of chances of getting this sample results if the null hypothesis is true.

In this case, as we talk about differences ("no difference was seen" between the two groups), we know that the sample difference has not been large enough to be proved statistically significant.

So the right answer is Option d).

8 0

3 years ago