Answer:
50 gluten-free cupcakes and 100 regular cupcakes.
Step-by-step explanation:
Let's define the variables:
R = number of regular cupcakes sold
G = number of gluten-free cupcakes sold
The total amount of money raised then is:
M = R*$2.00 + G*$3.00
We also know that:
The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.
then:
R = 2*G
And we also know that the amount of money raised is $350
Then we have the equations:
R = 2*G
R*$2.00 + G*$3.00 = $350
We can replace the first equation into the second one, so we have only one variable:
(2*G)*$2.00 + G*$3.00 = $350
Now we can solve this for G.
G*$4.00 + G*$3.00 = $350
G*$7.00 = $350
G = $350/$7.00 = 50
G = 50
50 gluten-free cupcakes where sold.
And using the equation:
R = 2*G = 2*50 = 100
We can conclude that 100 regular cupcakes were sold.
Answer:
X=4
Step-by-step explanation:
4*4=16+7=23
Answer:
Step-by-step explanation:
The first is 2, the second is 6 and the third is 14.
Answer:
d. We are 95% confident that the proportion of adults (ages 17-26) who attended college is between 53% and 59%.
Step-by-step explanation:
Confidence interval of a proportion p.
We build a confidence interval at the x% level from a sample.
With this, we can say that we are x% sure that the true population propotion is in the interval.
The 95% confidence interval is (0.53, 0.59).
This means that we are 95% sure that the true population proportion is between 0.53 and 0.59.
So the correct answer is:
d. We are 95% confident that the proportion of adults (ages 17-26) who attended college is between 53% and 59%.
