X= -5/2 (0.4)
or
x= -2 1/2 (2.5)
Answer:
41/45
Step by Step Explanation:
Add: 8/
10
+ 1/
9
= 8 · 9/
10 · 9
+ 1 · 10/
9 · 10
= 72/
90
+ 10/
90
= 72 + 10/
90
= 82/
90
= 2 · 41/
2 · 45
= 41/
45
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/
45
.
In other words - eight tenths plus one ninth = forty-one forty-fifths.
Answer: D(x) = 2kg/h*x
where x is the number of hours.
Step-by-step explanation:
The information that we have is:
in 5 hours, we can prepare 10kg of dough.
With this, we can find the rate per hour, to do this we find the quotient:
R = 10kg/5h = 2kh/h
This meeans that in one hour, we can make 2kg of dough.
Then, in x hours, we can make x times 2kg of dough, then the equation will be:
D(x) = 2kg/h*x
where x is the number of hours.
Using the normal distribution, it is found that 7.64% of of sample means are greater than 8.8 hours.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters are given as follows:
The proportion of sample means greater than 8.8 hours is <u>one subtracted by the p-value of Z when X = 8.8</u>, hence:
By the Central Limit Theorem
Z = 1.43
Z = 1.43 has a p-value of 0.9236.
1 - 0.9236 = 0.0764.
7.64% of of sample means are greater than 8.8 hours.
More can be learned about the normal distribution at brainly.com/question/25800303
#SPJ1
Answer:
285.6 square units
Step-by-step explanation:
The shaded area can be described a a whole circle less a 90° segment, or as a 3/4 circle with a right triangle added. The formula for the segment area is that of a sector less the triangle, so the computation is the same either way.
__
<h3>3/4 circle area</h3>
The area of a circle is given by ...
A = πr²
so 3/4 of a circle is 3/4 this value:
3/4 circle area = (3/4)(π)(10²) = 75π . . . . square units
<h3>Triangle area</h3>
The area of the isosceles right triangle is given by ...
A = 1/2s²
A = 1/2(10²) = 50 . . . . square units
<h3>Shaded area</h3>
The shaded area is the sum of these two ...
shaded area = 3/4 circle area + right triangle area
shaded area = 75π + 50 ≈ 285.6 . . . . square units
