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3 years ago

Can u pls help me with this question

Mathematics

2 answers:

Nutka1998 [239]3 years ago

6 0

8 weeks

You’ll take 5 quizzes per week, so you divide 40 by 5

Ray Of Light [21]3 years ago

6 0

8 weeks! you’ll take 5 quizzes per week, so you divide 40 by 5 :)

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The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounc

Ludmilka [50]

Answer:

$\mu = 12.1\\\sigma = 0.3$

a) Find the probability that the drink is less than 11.9 fluid ounces

We are supposed to find P(x<11.9)

x= 11.9

We will use z score formula :

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

$z=\frac{11.9-12.1}{0.3}$

$z=-0.67$

Refer the z table

So, P(z<-0.67) = 0.2514

Hence the probability that the drink is less than 11.9 fluid ounces is 0.2514

b)Find the probability that the drink is between 11.6 and 11.9 fluid ounces

x= 11.6

We will use z score formula :

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

$z=\frac{11.6-12.1}{0.3}$

$z=-1.67$

x= 11.9

We will use z score formula :

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

$z=\frac{11.9-12.1}{0.3}$

$z=-0.67$

We are supposed to find P(11.6<x<11.9)

So, P(11.6<x<11.9)= P(x<11.9)-P(x<11.6)

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

Refer the z table

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

P(-1.67<z<-0.67)= 0.2514-0.0475

P(-1.67<z<-0.67)= 0.2039

So, the probability that the drink is between 11.6 and 11.9 fluid ounces is 0.2039.

c)Find the probability that the drink is more than 12.6 fluid ounces

We are supposed to find P(x>12.6)

x= 12.6

We will use z score formula :

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

$z=\frac{12.6-12.1}{0.3}$

$z=1.67$

Refer the z table

P(x>12.6)=1-P(x<12.6)

P(z>1.67)=1-P(z<1.67)

P(z>1.67)=1-0.9525

P(z>1.67)=0.0475

Hence the probability that the drink is more than 12.6 fluid ounces is 0.0475

d) Is the drink containing more than 12.6 fluid ounces an unusual event?

Since p value is less than alpha (0.05)

Answer = No, because the probability that a drink containing more than 12.6 fluid ounces is less than 0.05, this event is not unusual.

3 0

3 years ago

You are traveling in a car. your speed is 15 miles an hour. what is your speed in feet per minute

dimaraw [331]

15 miles * 5280 ft/mile = 79200 ft

1 hour * 60 minutes/hr = 60 minutes

79200ft/ 60 minutes

1320 ft/min

4 0

3 years ago

350/100 as a decimal and a percentage

Step2247 [10]

Decimal: 3.5 350 divided by 100 = 3.5 Percentage: 350% Move the decimal 2 times to the right 3.5 -> 350 Add a percent sign

3 0

3 years ago

If two students from this college are selected at random, what is the probability that they are both males?

igor_vitrenko [27]

Answer:

$P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09$

Step-by-step explanation:

Assuming this problem :"Only 30% of the students in a certain liberal arts college are males. If two students from this college are selected at random, what is the probability that they are both males?"

Previous concepts

An independent event is an "event that has no connection to another event's chances of happening ". For this case we can assume that if one person is male and if we select another one the probability that this one would be male or female is totally indepedent from the first selection.

When we have two independent events let's say A and B and we want to find the probability that both events occurs at the same time we can use the following formula:

$P(A and B) = P(A)*P(B)$

Solution to the problem

We can define some notation:

$A_1$ first person selected is a male

$A_2$ second person selected is male

On this case we want the probability that both would be males. And we can express this like this on math terms:

$P(A_1 and A_2)$

For this case we can assume that the two events are independent. And in order to find the probability for two events independents events we just need to multiply the probabilities of each one like this:

$P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09$

5 0

3 years ago

A box can hold 9 books. There are only 5 books in the box. What percentage of the box is full? 56% 80% 1.8% 44%

Doss [256]

Answer:

I do believe that the answer would be 56%

Step-by-step explanation:

Using estimation if the box is half full it would have 4.5 books in the box, if you add that extra book it would be around 56%

6 0

3 years ago

Can u pls help me with this question ​

Can u pls help me with this question