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kati45 [8]
3 years ago
14

Shelley's basketball team won 3:4 of their games last season. In 1/6 of the games they won, they outscored their opponents by mo

re than 10 points. What fraction of their games did Shelley’s team win by more than 10 points?
Mathematics
2 answers:
natulia [17]3 years ago
6 0

3/4 & 1/6 18/24 & 4/24 14/24 = 7/12

xz_007 [3.2K]3 years ago
6 0

moi favorite

lets say there were only four games

\frac{3}{4}*\frac{1}{6}=\frac{3}{24} of the total games were won by more than 10 points

:D

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2 years ago
A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million u
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C. When the survey was initially conducted average sales of smartphones was 1.7 millions units.

Step-by-step explanation:

We have been given that the average annual sales of smartphones, in million units, n years after the survey is conducted is modeled by function p(n)=1.7\cdot b^n, where the parameter b is an unknown positive base.


We are asked to find the true statement about our given function.

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Since we know that b equals (1+r) for growth function, where r is in decimal form.

If b=1.45, it means that the annual growth rate will be 45% as 0.45 is decimal form of 45%, therefore, statement A is not true.

B.  If b= 1.02, annual sales of smartphones will double in 2 years.

If b=1.02, it means that the annual growth rate will be 2% as 0.02 is decimal form of 2%, therefore, statement B is not true.

C. When the survey was initially conducted average sales of smartphones was 1.7 millions units.

Since we know that an exponential function is in form y=a*b^x, where a in initial value of function. We can see from our given function that a equals 1.7, therefore option C is a true statement.

D. The average sales of smartphones increases by 1.7 millions units every year.

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Therefore, option D is not true regarding our given function.

7 0
3 years ago
Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . .A) 45B) 42C) 48D) 25
Leni [432]

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–3, 1, 5, 9, . . .

The first term, a = -3

The common difference, d = 4 (gotten by adding 4 to the next term).

The number of terms required n = 6.

Formula for sum of an arithmetic sequence is given by

S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack

Substituting these values into the equation above we have

\begin{gathered} S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack \\ S_6=\frac{6}{2}\lbrack2\times-3+(6-1)4\rbrack \\ S_6=3\lbrack-6+(5)4\rbrack \\ S_6=3\lbrack-6+20\rbrack \\ S_6=3\lbrack14\rbrack \\ S_6=42 \end{gathered}

Hence, the answer is 42, option B

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1 year ago
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