Answer:
£ 7.95
Step-by-step explanation:
Let the total money = £ x
Money spend on drinks and cake = 1.45 + 1.20 = £ 2.65
Money left with her = (2/3) of x
So, money spend = (1/3) of x

x = £ 7.95
Answer:
The degrees of freedom are given by:

The significance level is
and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is:

And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.
Step-by-step explanation:
We have the followign system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
The degrees of freedom are given by:

The significance level is
and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is:

And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.
Answer:
15 pages
Step-by-step explanation:
This is a fairly simple problem meaning it has very few steps. If it makes 75 pages in 5 minutes you need to find out what the PPM or Page Per Minute is.
To find that you simply divide 75 by 5 and get 15 and in one minute the printer prints 15 pages.
Lets say that the length of a rectangle is 12 cm and the width is 5 cm, you would add 12+12+5+5 (as in the length on both length sides and the width on both sides) so the perimeter of this rectangle is: 34 cm
Answer:
Sarah family will get 2 cards
Step-by-step explanation:
The total number of cards is 32
Sarah sent half of the Christmas cards to her friends,= 1/2 *32= 16 cards for Sarah's friends
Richard sent three eights of them to his friends.
3/8 *32=12 cards for Richards friends
Total = 12+16= 28
Card left= 32-28=4
Since Sarah and Richard want to send an even number of cards to their families. Then Sarah's family and Richard's family will receive 2 apiece.