Answer:
<h2>Area = 14m²</h2>
<u>Step-by-step explanation:</u>
area of rectangle = length × breadth
area of rectangle = 4 × 2
area of rectangle = 8m²
area of Triangle = 1/2 × base × height
area of Triangle = 1/2 × 4 × 3
area of Triangle = 6m²
Total area = 8 + 6
Total area = 14m²
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.
Answer: 105.84 cm^2
To find the answer, first you have to start by finding the percent of the circle in the sector. Convert the radians given to 108 degrees. 108 out of 360 is 30%.
Now, find the area of the circle. It's pi x r^2, so the area is 352.810.
Multiply this by 30% to find our area of 105.84 cm^2
Answer:
No of white balls = 5
Step-by-step explanation:
Given that,
Total no of red balls = 4
Total no of green balls = 6
The probability of not drawing a white ball in one draw be, 
We need to find the number of white balls. Let there are x balls.
The probability of drawing a white ball = 1 - the probability of not drawing a white ball
= 1 -2/3
= 1/3
Using the formula for solving probability of having a white ball.

Hence, there are 5 white balls.
57 sweaters can be made from 173.4 meters of fabric
Step-by-step explanation:
Given,
Total fabric available = 173.4 meters
Fabric used for one sweater = 3 meters
Let,
x be the number of sweaters.
Fabric used for one sweater * Number of sweaters ≤ Total fabric available

Dividing both sides by 3

57 sweaters can be made from 173.4 meters of fabric
Keywords: inequality, division
Learn more about inequalities at:
#LearnwithBrainly