The slope is rise over run. The ski run drops 5, so it would be -5, and the horizontal change of 20 would be the run, so you'd get -5 over 20 then you divide both by 5 and you get your answer of -1 over 4.
Answer: 76 roses were sold.
Step-by-step explanation:
Let x represent the number of tulips that the math club sold.
Let y represent the number of roses that the math club sold.
The number of roses sold was 8 more than 4 times the number of tulips sold. This means that
y = 4x + 8
Tulips were sold for $2 each and roses for $5 each. The club made $414.00. This means that
2x + 5y = 414- - - - - - - - - 1
Substituting y = 4x + 8 into equation 1, it becomes
2x + 5(4x + 8) = 414
2x + 20x + 40 = 414
22x = 414 - 40
22x = 374
x = 374/22
x = 17
y = 4x + 8 = 4 × 17 + 8
y = 76
Answer:
$47 plus whole foods market
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
The sum of this series is given by the formula:
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Where
S_n is the sum
a is the first term (we get this by plugging in n = 1 into "2n-1", we have 2(1) - 1 = 1)
n is the number of terms (the sum is defined for n = 1 to n = 15, so 15 terms)
d is the common different (the difference is successive terms. Here, 2nd term would be 2(2) - 1 = 3, and first term was 1, so d = 3 -1 = 2)
<em>plugging in the info, we will get the sum:</em>
<em>
</em>
<em>The sum is 225</em>
Answer:
Option 2) Null hypothesis: p = 0.078
, Alternate hypothesis: p > 0.078
Step-by-step explanation:
We are given the following in the question:
According to the National Center of Health Statistics, about 7.8% of all babies born in the U.S. are categorized as low birth weight.
Sample size, n = 1200
p = 7.8% = 0.078
We have to carry a hypothesis test whether national percentage is higher than 7.8% or not.
Thus, we can design the null and the alternate hypothesis

Thus, the correct answer is:
Option 2) Null hypothesis: p = 0.078
, Alternate hypothesis: p > 0.078