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BabaBlast [244]
2 years ago
6

At a school there are five lessons in a day in total the five lessons last 4 hours assume that each session lasts the same amoun

t of time how many minutes long is the final lesson
Mathematics
1 answer:
ikadub [295]2 years ago
7 0

Answer:

48 minutes long

Step-by-step explanation:

For a total amount of minutes the lessons are, take 4x60. 4 for the total time in the lessons and 60 for 60 minutes in an hour. 4x60= 240 minutes.

Take 240/5. 240 is the total number of minutes and with the five lessons being the same amount of time, you divide the total number of minutes by the number of lessons. 240/5= 48 minutes

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Consider a relatively simple healu insurance plan with the
notka56 [123]
The Answer will be all of the not above and the answer will be 44448488483
8 0
3 years ago
What is the equation of the line that passes through the point (5,6) and has a slope of 2?
pantera1 [17]

Answer:

Answer is at the bottom!!

Step-by-step explanation:

y = - \frac{2}{5} x - 2

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 2x + 5y = 10 into this form

subtract 2x from both sides  

5y = - 2x + 10 ( divide all terms by 5 )

y = - \frac{2}{5} x + 2 ← point- slope form with slope m = - \frac{2}{5}

Parallel lines have equal slopes hence  

y = - \frac{2}{5} x + c is the partial equation of the parallel line

to find c, substitute ( 5, - 4 ) into the partial equation

- 4 = - 2 + c ⇒ c = - 4 + 2 = - 2

y = - \frac{2}{5} x - 2 ← equation of parallel line

Hope this helps!!

6 0
3 years ago
The dingram shows a spinner innde up of a picce of card in the shape of a regular pentagon, with a toothpick pushed through its
Anastaziya [24]

Answer:

a) P(X \leq 3) = 0.99328

b) 0.6957

Step-by-step explanation:

Let X represent the number of 4's when  n = 5 independent spins

each has a probability of 0.2 (i.e p = 0.2)

This notation is represented as:

X \approx Binomial (n = 5, p = 0.2)

Probability of  x  number of 4's is:

P(X=x)= (\left \ n \atop x \right) p^x (1-p)^{(n-x)}

here; (\left \ n \atop x \right) is the combinatorial expression

(\left \ n \atop x \right) = \frac{n!}{x!(n-x)!}

P(X \leq3), n =5 , p = 0.2

P(X \leq3) = 1-P(X > 3)

So; let's first find:

P(X > 3)

= P(3

P(X = 4) =( \left \ {{5} \atop {4}} \right. ) (0.2)^4 (1-0.2)^1  \\ \\ P(X = 4) = 5(0.2)^4(0.8)^1 \\ \\ P(X = 4) = 0.0064

P(X = 5) =( \left \ {{5} \atop {5}} \right. ) (0.2)^5 (1-0.2)^0  \\ \\ P(X = 5) = 5(0.2)^5(0.8)^0 \\ \\ P(X = 5) = 0.00032

P (X=4)+P(X  = 5 ) \\ \\  = 0.0064 + 0.00032 = 0.006720  \\ \\ \approx 0.007

P(X > 3 ) = 0.00672 \\ \\ P(X \leq 3) = 1- P(X > = 3 ) \\ \\ =1 - 0.00672  \\ \\ = 0.99328

P(X \leq 3) = 0.99328

b)

Given that:

The ratio of boys to girls at birth in  Singapore is quite high at 1.09:1

What proportion of Singapore families with exactly 6 children will have at least 3 boys?

Probability of having a boy = \frac{1.09}{1+1.09} = 0.5215

Binomial Problem with n = 6

P(3<= x <=6) = 1 - P(0<= x <=2)

= 1 - binomial (6,0.5215,2)

= 0.6957

5 0
3 years ago
F\left(x\right)\ =\ 2^{x\ }and\ g\left(x\right)\ =\sqrt{x}+1
castortr0y [4]

Answer:

F(x) = 2^x gives you (0,1)

G(x) = \sqrt{x}+1 also gives you (0,1)

Step-by-step explanation:

I hope these are the answers you were looking for! I'm sorry if it's not, I would need the question to give you the correct answer.

3 0
3 years ago
Classify the triangle with angles measuring 85°, 60°, and 35°.
OLEGan [10]
They are acute angels cause there smaller than 90
6 0
3 years ago
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