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m_a_m_a [10]
3 years ago
11

a group of students were surveyed to find out if they like building snowmen or skiing as a winter activity. The results of the s

urvey are: 60 students like building snowmen; 10 students like building snowmen, but don't like skiing; 80 students like skiing; 5 students don't like building snowmen. Part B: What is the probability that a student who does not like building snowmen also does not like skiing?
Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

2/5 or 0.4

Step-by-step explanation:

10 students like building snowmen but do not like skiing

so students who like both building snowman and skiing = 60 - 10 = 50

Total number of students who does not like building snowman and also does not like skiing = 80 - 60 = 20

Therefore, the probability that  a student who does not like building snowmen also does not like skiing = 20/50 = 0.4

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Find the sum or difference. Simplify if possible.
Scilla [17]

Answer:

A 1 1/12

Step-by-step explanation:

just add 4 and 9 you get 13

3 0
3 years ago
Charlie measured the circle-shaped part of a sun his sister drew on the chalkboard. The circumference of the circle is 75.36 cm.
ch4aika [34]

Answer:

The diameter of circle is 24 cm.

Step-by-step explanation:

We are given the following in the question:

Circumference of circle = 75.36 cm

We have to find the diameter of the circle.

Circumference of circle =

C =2\pi r

where r is the radius of the circle.

Putting values, we get,

75.36 = 2\times 3.14\times r\\\\r = \dfrac{75.36}{2\times 3.14}\\\\r=12

Diameter of circle =

d=2r\\d=2\times 12=24\text{ cm}

Thus, the diameter of circle is 24 cm.

4 0
3 years ago
Part A
Nitella [24]

Answer:

P = 300

r = 0.15

n = 12

A(t) = 300(1.0125)^12t

Step-by-step explanation:

Given that:

Total credit taken for book purchase = $300

Annual Interest rate = 15% compounded monthly

Time or period = 4 years

P(1 + r/n)^nt

P in the expression above means the principal amount which is the total credit spent on book purchase = $300

r = annual interest rate on Emma's account = 15% = 15/100 = 0.15

n = number of compounding times per period ; loan which compounds monthly = number of months in a year = 12

Hence,

P = $300 ; r = 0.15 ; n = 12

Substituting into the equation :

P(1 + r/n)^nt

Simplified expression written in terms of t:

Final amount, A after t years

A(t) = 300(1 + 0.15/12)^12t

A(t) = 300(1 + 0.0125)^12t

A(t) = 300(1.0125)^12t

3 0
3 years ago
The inventory of a restaurant needs replenishing of its supply of apples. The food supplier charges $7/bag of apples. The restau
vovikov84 [41]
If it’s 2 bags of apples a day for 30 days, then that’s 60 bags of apples total (30x2)

and if the charge for a bag is $7, then multiply 7 times your total number of bags (7x60) for the cost.

the answer should be $420
6 0
3 years ago
Rui is a professional deep water free diver.
Arada [10]

Answer:

Rui will reach his lowest altitude after diving for 10 seconds

Step-by-step explanation:

In the quadratic equation y = ax² + bx + c, the coordinates of the lowest or the highest point is (h, k), where

  • h = \frac{-b}{2a} and k = y at x = h

In the given question

∵ d(x) = \frac{1}{2} x² - 10 x

∵ d represents his altitude in meters after x seconds

→ Compare it with the form above to find a and b

∴ a =  \frac{1}{2} and b = -10

∵ h = \frac{-b}{2a}

→ Substitute the values of a and b in the rule to find h

∴ h = \frac{--10}{2.\frac{1}{2}} = 10

∴ h = 10

∵ h is the x-coordinate of the lowest point

∴ The time of the lowest altitude is 10 seconds

∴ Rui will reach his lowest altitude after diving for 10 seconds

5 0
3 years ago
Read 2 more answers
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