Answer:
a. The value of the constant k is 21
b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.
Step-by-step explanation:
a.
<em>A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses.
</em>
The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:
<em>105=k*5
</em>
![k=\frac{105}{5}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B105%7D%7B5%7D)
<em>k=21
</em>
<u><em>So the value of the constant k is 21.</em></u>
b.
<em>As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.</em>
This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".
Answer:
0.0214
Step-by-step explanation:
We can get these answer by finding the z-scores at first
Mathematically;
z-score = x-mean/sd
For 900;
z-score = 900-750/75 = 150/75 = 2
For 975
z-score = (975-750)/75 = 3
So the probability we want to calculate is;
P(2<x<3)
This can be calculated using the standard normal distribution table
From the standard score table;
P(2<x<3) = 0.0214
Yes bc ur finding 3/4th of 12
Jessica runs fastest because her time/second is about 10 seconds while brookes is around 12.
Answer:
18 pounds of beef.
Step-by-step explanation:
For every 0.5 cups of breadcrumbs there's 2 pounds of beef.
0.5 x 9 = 4.5
9 x 2 = 18 or 2 x 9 = 18
multiples of two: 2 4 6 8 10 12 14 16 18
This shows that when we multiply 2 nine times we get 18!