Answer:
55
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
45 grams of popcorn/15 grams of cheese = 3 grams of popcorn per 1 gram of cheese
In the given question, we have to perform this experiment and test if the inequality is true or not.
Adding the same value to both sides of the inequality will not change the inequality sign
<h3>Inequality</h3>
data;
- 4 < 7
- 11 > - 2
- -4 < - 2
- -8 < 8
In the first case, we would do follow the process

In the second case;

In all the scenarios, the operations did not affect the inequality sign because we are doing it equally to all side and at the end of the day nullifies each other.
Learn more on inequality here;
brainly.com/question/24372553
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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.
For this item, I will assume that we are required to give the area of the dilated triangle. By dilated we mean to say that the dimensions of the second triangle is 6 times that of the first. We square 6 and them multiply this to the area of the original triangle to get the area of the second. That is,
area of second triangle = (2/3 cm²)(6²) = 24 cm²
Thus, the area of the new triangle is equal to 24 cm².