Answer:
4 cookies
Step-by-step explanation:
Let the number of cookies he sold be c and that of brownies be b.
Assuming that brownies and cookies are the only type of baked goods sold,
b +c= 10 -----(1)
Amount of money received= $20
b(cost of brownie) +c(cost of cookie)= $20
2.50b +1.25c= 20 -----(2)
From (1): b= 10 -c -----(3)
Substitute (3) into (2):
2.50(10 -c) +1.25c= 20
Expand:
2.50(10) +2.50(-c) +1.25c= 20
25 -2.50c +1.25c= 20
-1.25c +25= 20
Being constants to 1 side:
-1.25c= 20 -25
-1.25c= -5
c= -5 ÷(-1.25)
c= 4
Thus, Joe sold 4 cookies.
For the first one, the graph shows a total of 12 representatives across all 5 categories, and of those, 2 are from the west this is the fraction 2/12, or the answer A) 1/6, meaning that 1 in 6 of the representatives are going to be from the western region.
For number 2, the answer is A) If you flip a coin 800 times, heads will come up about 400 times. This is because the law of large numbers says that as the number gets larger the ratio will get closer to 1:1. This means that since the coin only has 2 sides, it is about 50/50, meaning that of 800, 400 would be heads and 400 would be tails.
Hope this helps! :D
Answer:
The mean, μ is 2.5063 and
The standard deviation, σ = 2.0499 × 10⁻²
Step-by-step explanation:
Here we have
and
10% have length < 2.48 in while
5% have length > 2.54 in
and
From the z score table
Critical z at 10% to the left = -1.282
Critical z at 5% to the right = 1.645
Therefore, the equations become
-1.282σ = 2.48 - μ → μ -1.282σ = 2.48
1.645σ = 2.54 - μ → μ + 1.645σ = 2.54
Solving the above equations gives
The mean, μ = 2.5063 and
The standard deviation, σ = 2.0499 × 10⁻².
1 gallon = 128 oz
2 gallons = 256 oz
256/10 = 25.6 oz
each person received 25.6 oz of punch or 3.2 cups
6u + 3u = 18
9u = 18
u = 18/9
u = 2
