Miranda bought 6 pounds of almonds. If she puts 3/4 pound of almonds in each bag for a daily snack how many bags can she make?

A student comes to lecture at a time that is uniformly distributed between 5:09 and 5:14. Independently of the student, the prof

scZoUnD [109]

Answer:

1/2

Step-by-step explanation:

The lecture has already begun when the student arrives means one of these scenarios happen:

1) the class started at 5:10 and the student arrives at 5:11 or 5:12 or 5:13 or 5:14

2) the class started at 5:11 and the student arrives at 5:12 or 5:13 or 5:14

3) the class started at 5:12 and the student arrives at 5:13 or 5:14

Given student time of arrival is uniformly distributed, then the probability he/she arrives at 5:09 or 5:10 or 5:11 or 5:12 or 5:13 or 5:14 is 1/6.

So, the probability that the student arrives between 5:11 and 5:14 is 1/6 + 1/6 + 1/6 + 1/6 = 2/3.

The probability that the student arrives between 5:12 and 5:14 is 1/6 + 1/6 + 1/6 = 1/2.

The probability that the student arrives at 5:13 or 5:14 is 1/6 + 1/6 = 1/3.

Given class starting time is uniformly distributed, then the probability it starts at 5:10 or 5:11 or 5:12 is 1/3.

Given the two events are independent, the probability of the first scenario is: (1/3)*(2/3) = 2/9

For the second scenario: (1/3)*(1/2) = 1/6

For the third scenario: (1/3)*(1/3) = 1/9

Because all of these scenarios are mutually exclusive the total probability of one of them happen is: 2/9 + 1/6 + 1/9 = 1/2

3 0

3 years ago

A scuba diver descends in the water at a rate of 23 1/2

Makovka662 [10]

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1 ft.

Given:

A scuba diver descends in the water at a rate of 23 1/2 feet per minute for 2.6 minutes.

A scuba diver ascends at a rate of 28 feet per minute for 2 minutes after seeing a big fish.

To find :

The scuba diver's position relative to sea level after the 4.6 minutes.

Solution:

Rate of a scuba diver descending in the water for 2.6 minutes = $R _1$

$R_1= 23\frac{1}{2}ft/min=\frac{47}{2} ft/min$

Distance covered by a scuba diver in 2.6 minutes = $d_1$

$d_1=R_1\times 2.6min=\frac{47}{2} ft/min\times 2.6 min=61.1 ft$

Rate of a scuba diver ascending for 2 minutes = $R _2$

$R_2= 28ft/min$

Distance covered by a scuba diver in 2 minutes = $d_2$

$d_2=R_2\times 2min=28 ft/min\times 2 =56 ft$

The position of scuba diver after 4.6 minutes relative to sea level:

$d_1-d_2=61.1 ft-56 ft=5.1ft$

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1ft.

Learn more about ascending rate and descending rate here:

brainly.com/question/1477877?referrer=searchResults

brainly.com/question/1072871?referrer=searchResults

3 0

3 years ago

What is the exponent?

pishuonlain [190]

A exponent is the smaller number you will see sometimes on the top of a number or to the right of it but smaller than normal font

8 0

4 years ago

Read 2 more answers

Eli's family starts with 2 whole pizzas. they eat 1 3/8 pizzas. how much pizza do they have left?

Tresset [83]

The Correct Answer Is...

5/8!

Any Questions? Comment Below!

-AnonymousGiantsFan

8 0

3 years ago

EXREAMLY URGENT!! WILL FOREVER THANK YOU!!!! PLS JUST TAKE A LOOK!!!!! 6. What is the area of rectangle RSTU?

Arisa [49]

Answer:

8√21

Step-by-step explanation:

A rectangle has 2 congruent pairs. Those 2 pairs are ST/RU and SR/UT. If that is the case, then that means UV is 5 and SV is also 5. Now we have triangle SRU with a hypotenuse of 10 and a side of 4. Pythagorean Theorem:

4² + b² = 10²

b² = 84

b = 2√21

Segment SR is then equal to b. Now we move on to the area formula:

(2√21)(4) = 8√21

And that is your final answer.

5 0

3 years ago

Read 2 more answers

Miranda bought 6 pounds of almonds. If she puts 3/4 pound of almonds in each bag for a daily snack how many bags can she make￼?

Miranda bought 6 pounds of almonds. If she puts 3/4 pound of almonds in each bag for a daily snack how many bags can she make?