Answer:
Ms. Dunn bought 7 slices of pie.
Step-by-step explanation:
With the information provided, you can write the following equations:
x+y=24 (1)
0.80x+0.30y=10.70 (2), where:
x is the number of slices of pie
y is the number of cookies
First, you can solve for x in (1):
x=24-y (3)
Next, you have to replace (3) in (2) and solve for y:
0.80(24-y)+0.30y=10.70
19.2-0.80y+0.30y=10.70
19.2-10.70=080y-0.30y
8.5=0.5y
y=8.5/0.5
y=17
Finally, you can replace the value of y in (3) to be able to find the value of x:
x=24-17
x=7
According to this, the answer is that Ms. Dunn bought 7 slices of pie.
The answer to your question is precisely 99
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
Standard deviation = 3.3
The data point = 178
The mean = 184.7
<h2>Further Explanation</h2>
To calculate the Z-score of a bag containing 178 peanuts, we should use the formula to calculating a z-score.
The formula for calculating a Z-score is as follows
This also implies
therefore, the correct answer is -2.03
A z-score determine the number of standard deviation from the mean a data point is.
some important factors about z-score include:
- if it is a positive z-score, it indicates the data point is above average
- if it is a negative Z-score, it indicates the data point is below average
- if the z-score is close to 0, it then means the data point is close to average
- if the z-score is above 3 or below -3, it is considered to be unusual
Learn More about Z-score at:
brainly.com/question/12876715
#learnwithbrainly
Answer:
<h2>6</h2>
Step-by-step explanation:
