Answer:
The value of x is 
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and is called the scale factor
so

Mary added
cups of sugar.
<h3>
How to estimate how much sugar should Mary add?</h3>
The ratio of flour to sugar exists at 9 cups: 2 4/7 cups
Utilizing equivalent ratios, given that 7 cups of sugar was utilized,
Let cups of flour needed = x such that our equation becomes
flour/sugar
Convert mixed numbers into improper fractions

simplifying the above equation, we get

= 
x = 24.5
The value of x = 24.5.
Therefore,
cups of sugar exist required.
To learn more about improper fractions refer to:
brainly.com/question/387381
#SPJ9
Each was 10 inches because she had 95 and 95-15=40 divided by 4 = 10
we have M is durectly porpotional to r^2
so M=(k)r^2
and when r=2, m=14
so 14=(k)(2)^2
k=14/4 =7/2
so when r=12
m= (7/2)(12)^2 =(7/2)(144) = 504
The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days.
That is,
Consider X be the length of the pregnancy
Mean and standard deviation of the length of the pregnancy.
Mean 
Standard deviation \sigma =15
For part (a) , to find the probability of a pregnancy lasting 308 days or longer:
That is, to find 
Using normal distribution,



Thus 
So 




Thus the probability of a pregnancy lasting 308 days or longer is given by 0.00256.
This the answer for part(a): 0.00256
For part(b), to find the length that separates premature babies from those who are not premature.
Given that the length of pregnancy is in the lowest 3%.
The z-value for the lowest of 3% is -1.8808
Then 
This implies 
Thus the babies who are born on or before 238 days are considered to be premature.