Answer:
Mary 81
Sandy 30
Step-by-step explanation:
S-3=M/3
multiply by 3
3s-9=m
m=81
3s-9=81
add 9
3s=90
divide by 3
s=30
Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Step-by-step explanation:
Lets define independent and dependent events first.
<u>Independent events:</u>
The events are said to be independent if the probability of occurrence of one event doesn't affect the probability of second event.
<u>Dependent events:</u>
The events in which the probability of occurrence of one event affects the second event's probability of occurrence, are called dependent events.
Now,
When a card is drawn from a deck of cards and NOT replaced, it makes the second event's probability depend on first event as the sample space for second event changes due to the first event.
Hence,
Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Keywords: Probability, dependent events
Learn more about probability at:
#LearnwithBrainly
Well, from the first row to the second you added +7 on both sides. On the other rows you merely did some arithmetic.
Usually one gets from the first line to the last one directly :)
Answer: c. –1 and .1587
Step-by-step explanation:
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since Alternative hypothesis is left-tailed ,so the test must be a left tailed test .
Z -Test statistic for proportion = 
, where p= population proportion
= sample proportions
n= Sample size.
Let x be the number of successes.
For n= 40 and x= 11
Then , 
By using z-table ,
P-value for left-tailed test = P(z<-1)= 1-P(z<1) [∵ P(Z<-z)= 1-P(Z<z) ]
= 1-0.8413
=0.1587
Hence, the -score and P-value are <u>–1 and 0.1587</u> .
So the correct option is c. –1 and .1587
Answer:
4x + 4
Step-by-step explanation:
perimeter= breadth + length + breadth + length
(x+2)+(x+2)+x+x
= 4x(because there is 4 x) + 2 +2
= 4x + 4
