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iren2701 [21]
3 years ago
8

On any particular Saturday evening, the probability that Hannah will go to the movies and go for a coffee is 1/3. The probabilit

y that she will go for a coffee, given that she has gone to the movies, is 4/7.
What is the probability that she will go to the movies on any particular Saturday evening
Mathematics
1 answer:
pochemuha3 years ago
7 0

Answer:

7/20

Step-by-step explanation:

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What is the approximate value for the modal daily sales?
Aleksandr [31]

Answer:

Step-by-step explanation:

Hello!

<em>The table shows the daily sales (in $1000) of shopping mall for some randomly selected  days </em>

<em>Sales 1.1-1.5 1.6-2.0 2.1-2.5 2.6-3.0 3.1-3.5 3.6-4.0 4.1-4.5 </em>

<em>Days 18 27 31 40 56 55 23 </em>

<em>Use it to answer questions 13 and 14. </em>

<em>13. What is the approximate value for the modal daily sales? </em>

To determine the Mode of a data set arranged in a frequency table you have to identify the modal interval first, this is, the class interval in which the Mode is included. Remember, the Mode is the value with most observed frequency, so logically, the modal interval will be the one that has more absolute frequency. (in this example it will be the sales values that were observed for most days)

The modal interval is [3.1-3.5]

Now using the following formula you can calculate the Mode:

Md= Li + c[\frac{(f_{max}-f_{prev})}{(f_{max}-f_{prev})(f_{max}-f_{post})} ]

Li= Lower limit of the modal interval.

c= amplitude of modal interval.

fmax: absolute frequency of modal interval.

fprev: absolute frequency of the previous interval to the modal interval.

fpost: absolute frequency of the posterior interval to the modal interval.

Md= 3,100 + 400[\frac{(56-40)}{(56-40)+(56-55)} ]= 3,476.47

<em>A. $3,129.41 B. $2,629.41 C. $3,079.41 D. $3,123.53 </em>

Of all options the closest one to the estimated mode is A.

<em>14. The approximate median daily sales is … </em>

To calculate the median you have to identify its position first:

For even samples: PosMe= n/2= 250/2= 125

Now, by looking at the cumulative absolute frequencies of the intervals you identify which one contains the observation 125.

F(1)= 18

F(2)= 18+27= 45

F(3)= 45 + 31= 76

F(4)= 76 + 40= 116

F(5)= 116 + 56= 172 ⇒ The 125th observation is in the fifth interval [3.1-3.5]

Me= Li + c[\frac{PosMe-F_{i-1}}{f_i} ]

Li: Lower limit of the median interval.

c: Amplitude of the interval

PosMe: position of the median

F(i-1)= accumulated absolute frequency until the previous interval

fi= simple absolute frequency of the median interval.

Me= 3,100+400[\frac{125-116}{56} ]= 3164.29

<em>A. $3,130.36 B. $2,680.36 C. $3,180.36 D. $2,664</em>

Of all options the closest one to the estimated mode is C.

5 0
2 years ago
How many 2/3 cup servings of soup are in 4 cups of soup?
klasskru [66]

Answer:

almost 6 servings

Step-by-step explanation:

2/3=.667

4/.667=5.99

7 0
2 years ago
Read 2 more answers
Christine basked a pie.she ate one sixth of the pie. Her brother ate one third of the pie and gave the leftovers to his friends
Sergeeva-Olga [200]

Answer:

Her brother gave his friends one half the pie.

Step-by-step explanation:

The whole pie is equal to 6/6, because that's equal to one. 1/3 = 1/6. 6/6 - 2/6 = 5/6. 5/6 - 2/6 = 3/6. 3/6 = 1/2.

8 0
3 years ago
Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation. The catering company she plans to use char
Airida [17]
Hi there! The answer is 72 guests.

To find our answer we need to set up and solve an equation. Let the total number of guests be represented by g. The cost per guest is $13.50
Therefore the cost for all of the guests will be $13.50 × g.

To find the total cost we need to add the additional fee of $540 to cover linens and tableware.

Now we've found our equation.
13.5g + 540 = 1512

Subtract 540.
13.5g = 972

Divide by 13.5
g = \frac{972}{13.5} = 72

Therefore, there are 72 guests. The answer is 72.
~ Hope this helps you!
8 0
2 years ago
Read 2 more answers
You know that 4 pizzas will feed 16 people how many pizzas do you need to feed 88 people?
Furkat [3]
You can multiply 16 times what equls 88 and then divide by 4 much more simple than it sounds and also your in high school and u cant solve this problem
6 0
2 years ago
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