Step-by-step explanation:
the mean value is the sum of all data points divided by the number of data points.
first we have 7 tests and their mean value :
(t1 + t2 + t3 + t4 + t5 + t6 + t7) / 7 = 54
that means
(t1 + t2 + t3 + t4 + t5 + t6 + t7) = 54 × 7 = 378
in order for the mean value to be at least 60% after 8 tests, we need to add a t8, so that
(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) = 60 × 8 = 480
because only then we have
(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) / 8 = 60
and the student passes.
so,
(t1 + t2 + t3 + t4 + t5 + t6 + t7) + t8 = 480
378 + t8 = 480
t8 = 480 - 378 = 102%
the student would have to achieve 102% on the 8th test.
which would be normally impossible, but maybe the tests involve some bonus points.
Step-by-step explanation:
![f(x) = \sqrt[3]{x - 3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20-%203%7D)
The domain of a function are the values of
that you can plug into the function
.
Values inside of a root must be non-negative, which means that
must be greater than or equal to zero. We can set up an equation to find the domain:


With this, we know the domain of the function is
.
The range of a function are the values that
can have. Since the equation is a cube root, the value will always be non-negative, meaning the range of the function is
.
The leading term of polynomial function is the the term contain highest degree so here in the given question leading term is 
and leading coefficient is the coefficient of the term with greatest exponent -3
RULES for End behaviour
we have following four cases
CASE1: Even degree and positive leading coefficient


CASE2: Even degree and negative leading coefficient


CASE3: Odd degree and positive leading coefficient


CASE4: Odd degree and negative leading coefficient

Here in the given case we have odd degree and negative leading coefficient

Answer:
yes
Step-by-step explanation:
3/5 is closer to being a full number =D
Answer:
£17.20
Step-by-step explanation:
A clothes shop has some special offers. ?
The normal price of a T-shirt is £7.40 The normal price of a jumper is £9.80.
T-shirts are buy one get one free Jumpers are 3 for 2.
How much does it cost to get 5 jumpers and 2 T-shirts using this offer as appropriate?
The cost of 2 T-shirts since it is a buy 1 get 1 free => £7.40
The cost of 5 jumpers =
You buy 3 Jumpers ,you get 2 jumpers free => £9.80
The total cost = £7.40 + £9.80
= £17.20