Answer:
length is 7.5 and width is 4.5
Step-by-step explanation:
Its given that perimeter of the triangle is 24 units.
The condition is that length is 3 units more than the width.
l=w+3;
Formula for perimeter is 2(l+w).
so ,
2(w+w+3)=24,
2w+3=12,
w=4.5,
l=w+3=7.5
Hence for the given conditions length is 7.5 and width is 4.5.
Answer:
47 weeks
Step-by-step explanation:
you multiply 20 times 5 because he makes 5 dollars and hour and works 20 hours a week, so then you get 100. so he makes 100 dollars in a week. then you divide 100 by 4650 and get 46.5 which rounded up is 47. so he needs to work 47 weeks.
Answer:
p = 0.07
p-hat = 0.035
p0 = 0.07
p-value = 0.003
Step-by-step explanation:
p = population parameter, in this case, the rate of infestations across all trees in the forest
p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard
p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%
p-value = the likelihood any difference between p and p-hat is down to chance
In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;
We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).
Step-by-step explanation:
Let x be the amount of tickets sold for $25 and y be the amount of tickets sold for $40, since there are 6000 seats theatre then;
x+y = 6000 .............. 1
If x tickets cost $25 and y tickets are sold for $40 with total revenue of $174,000, then;
25x + 40y = 174,000................ 2
From 1, x = 6000-y ............ 3
Substitute equation 3 into 2:
25x + 40y = 174,000.
25(6000-y) + 40y = 174,000
150,000-25y + 40y = 174,000
150,000+15y = 174,000
15y = 174,000-150,000
15y = 24,000
y = 24,000/15
y = 1600
Substitute y = 1600 into equation 3:
x = 6000-y
x = 6000-1600
x = 4400
<em>Hence 4400 $25 tickets and 1600 $40 tickets must be sold to generate a revenue of $174,000</em>