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3 years ago

A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag.

Mathematics

1 answer:

frosja888 [35]3 years ago

3 0

Answer:

Question 1: 4/5 or %80

Question 2: 7/10 or %70

Step-by-step explanation:

Step 1: Find the total amount of marbles

5 + 2 + 3

10

Step 2: Find the probability of not drawing a black marble

Add the total amount of marbles that are not black

5 + 3

8

Now find the probability:

8/10

4/5 or %80

Answer: 4/5 or %80

Step 3: Find the probability of not drawing a red marble

Add the total amount of marbles that are not red

5 + 2

7

Now find the probability:

7/10 or %70

Answer: 7/10 or %70

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Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of

Lemur [1.5K]

Answer:

a) $P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

b) $P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

c) $P(X$

And if we use the continuity correction we got:

$P(X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,5)$

Where $\mu=25$ and $\sigma=5$

Part a

For this case we want to find this probability:

$P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

And if we use the z score given by:

$z =\frac{x-\mu}{\sigma}$

We got this:

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

Part b

For this case we want this probability:

$P(X \leq 30)$

And if we use the continuity correction we got:

$P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

Part c

For this case we want this probability:

$P(X$

And if we use the continuity correction we got:

$P(X$

3 0

3 years ago

Point P was rotated by 135 ° (the center of rotation is indicated).

Anika [276]

Answer:

looking at it I think B is P from another angle

8 0

2 years ago

maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How ma

WITCHER [35]

maple syrup = x

corn syrup = 50-x

6x + 0.8(50-x)=2.36*50

6x+40-0.8x=118

5,2x=78

x= 15 gallons of maple syrup

50-15 = 35 gallons of corn syrup

4 0

3 years ago

Find the missing value of the direct variation (2,5) (5,y)

Karolina [17]

Answer:

The missing value y=12.5 and we have (5,12.5)

Step-by-step explanation:

The formula used for direct variation is:

$y\: \alpha \:x\\y=kx$

We need to find missing value (2,5)(5,y)

First we will find k, and then y

We have x=2, y=5

Find k:

$y=kx\\5=k(2)\\k=\frac{5}{2}\\k=2.5$

Now, we cam find missing value in (5,y)

We have x=5, k=2.5 and y=?

$y=kx\\y=2.5(5)\\y=12.5$

So, the missing value y=12.5 and we have (5,12.5)

7 0

2 years ago

Write an equation to represent the number of pages Jesse has read. Using x, the number of days Amir has been reading, write an e

katrin [286]

Question:

Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?

Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.

Answer:

It will take 6 days

Step-by-step explanation:

For Jesse:

$Rate = 30\ pages/day$