Answer:
Graph A is correct
Step-by-step explanation:
p(x)= x/10
x= 1, 2, 3, 4
Plug in x values in p(x)
when x=1 , then P(1) = 1/10
When x=2 , then P(2) = 2/10
When x=3 , then P(3) = 3/10
When x=4 , then P(4) = 4/10
In the graph y axis has 2/10 , 4/10 , 6/10...
1/10 lies between 0 and 2/10
3/10 lies between 2/10 and 4/10
Graph A is correct
Answer:
A.
We can see that the rectangles are congruent meaning they can be mapped onto one another perfectly and therefore 13 and t make up a rectangle the same size and shape as the second one. This means that 13+t will add to 17 since the rectangle they make up is congruent to the second one
Step-by-step explanation:
Answer:
The carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Step-by-step explanation:
Given:
Amount a carpenter can spend at most = $250
The inequality to represent the amount he can spend on each type of board is given as:

where
represents '2 by 8 boards' and
represents '4 by 4 boards'.
To determine whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Solution :
In order to check whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards' , we need to plugin the
and
in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.
Plugging in
and
in the given inequality



The above statement can never be true and hence the carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Eighths and their multiples are common fractions which I recommend memorizing, but to actually solve this, you use the literal meaning of a fraction and divide 5 by 8. See the long-division below (it was surprisingly difficult to type, so I hope it helps!).
To round 0.625 to the nearest hundredth, we go to the second decimal place, which is 5, so we round up to 0.63.
Answer:
0.6495
Step-by-step explanation:
This is question based on conditional probability
The probability that a customer plans to make a purchase = 0.32.
The probability that a customer plans not to make a purchase = 1 - 0.32
= 0.68
The probability of responding to an advertisement given that the customer plans to make a purchase = 0.63
The probability of responding to an advertisement given that a person does not plan to make a purchase = 0.16.
Given that a person responds to the advertisement, what is the probability that they plan to make a purchase is calculated as:
0.32 × 0.63/(0.32 × 0.63) + (0.16 × 0.68)
= 0.2016/ 0.2016 + 0.1088
= 0.2016/0.3104
= 0.6494845361
Approximately = 0.6495