Answer:
The probability that a jar contains more than 466 g is 0.119.
Step-by-step explanation:
We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.
Let X = <u><em>Amount of peanut butter in a jar</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 454 g
= standard deviation = 10.2 g
So, X ~ Normal(
)
Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)
P(X > 466 g) = P( > 
) = P(Z > 1.18) = 1 - P(Z 
1.18)
= 1 - 0.881 = <u>0.119</u>
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
The area of triangle ABC is the amount of space on the triangle
The area of the triangle is 54.84 square units
<h3>How to determine the area of triangle ABC</h3>
Start by drawing the triangle (see attachment)
Next, calculate the measure of angle B using the following tangent ratio
This gives
Take the arc tan of both sides
Multiply by 2
Next, calculate the length of side AD using the following equation
This gives
The area of the triangle is then calculated as:
This gives
Hence, the area of the triangle is 54.84 square units
Read more about areas at:
brainly.com/question/24487155
Answer:
0.44444444 or 4/9
Step-by-step explanation:
Since we know the value of 
, we can rewrite the equation replacing the variables.
Now solve. While solving, remember the order of operations.
or 
First multiply 180 and 25 which is 4500.
Then divide by 17 which should be approximately 264.71
Since Jasmine has 12 strawberries and George has 6 times has many, you can multiply 12 by 6 to get the number of strawberries George has in his bag.
6 x 12 = 72.
George has 72 strawberries in his bag
