Answer:
Mandy sold 250 pancakes and 50 waffles.
Step-by-step explanation:
From the information given, you can say that the sum of pancakes and waffles is equal to 300:
x+y=300
Also, the statement indicates that she charges $3 per pancake, $1 per waffle, and made a total of $800 and you can express this as:
3x+y=800
You have the following equations:
x+y=300 (1)
3x+y=800 (2), where:
x is the number of pancakes she sold
y is the number of waffles she sold
Now, you can solve for x in (1):
x=300-y (3)
Then, you can replace (3) in (2):
3(300-y)+y=800
900-3y+y=800
900-800=2y
100=2y
y=100/2
y=50
Finally, you can replace the value of y in (3) to find x:
x=300-50
x=250
According to this, the answer is that Mandy sold 250 pancakes and 50 waffles.
help with what? be sure to put everything you need to say into a question
Answer:
Step-by-step explanation:
Use Pythagoras Theorem
x² + 16² = 34²
x² + 256 = 1156
x² = 1156 - 256
x² = 900
x= √3*3*10*10
x= 3*10
x = 30
Answer:
the answer is D. I just took the exam.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello!
The objective of this experiment is to test if two different foam-expanding agents have the same foam expansion capacity
Sample 1 (aqueous film forming foam)
n₁= 5
X[bar]₁= 4.7
S₁= 0.6
Sample 2 (alcohol-type concentrates )
n₂= 5
X[bar]₂= 6.8
S₂= 0.8
Both variables have a normal distribution and σ₁²= σ₂²= σ²= ?
The statistic to use to make the estimation and the hypothesis test is the t-statistic for independent samples.:
t= ![\frac{(X[bar]_1 - X[bar]_2) - (mu_1 - mu_2)}{Sa*\sqrt{\frac{1}{n_1} + \frac{1}{n_2 } } }](https://tex.z-dn.net/?f=%5Cfrac%7B%28X%5Bbar%5D_1%20-%20X%5Bbar%5D_2%29%20-%20%28mu_1%20-%20mu_2%29%7D%7BSa%2A%5Csqrt%7B%5Cfrac%7B1%7D%7Bn_1%7D%20%2B%20%5Cfrac%7B1%7D%7Bn_2%20%7D%20%7D%20%7D)
a) 95% CI
(X[bar]_1 - X[bar]_2) ±
*
Sa²=
=
= 0.5
Sa= 0.707ç

(4.7-6.9) ± 2.306* 
[-4.78; 0.38]
With a 95% confidence level you expect that the interval [-4.78; 0.38] will contain the population mean of the expansion capacity of both agents.
b.
The hypothesis is:
H₀: μ₁ - μ₂= 0
H₁: μ₁ - μ₂≠ 0
α: 0.05
The interval contains the cero, so the decision is to reject the null hypothesis.
<u>Complete question</u>
a. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.
b. Based on the confidence interval, is there evidence to support the claim that there is no difference in mean foam expansion of these two agents?