Oof I had that question and I was so stuck on it I still dont know it till this day ah life is hard
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.
Cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.
<h3>What is angle measurement?</h3>
An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
Given data;
sin(1/2) = π/6
The value of the trignometric function are;
cos(π/6) = (√3)/2
tan(π/6) = 1/√3 = (√3)/3
In the second quadrant, where the cosine and tangent signs are both negative, is the angle of interest.
θ = 5π/6
cos(5π/6) = -(√3)/2
tan(5π/6) = -(√3)/3
Hence. cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.
To learn more about the angle measurement, refer to the link;
brainly.com/question/14684647
#SPJ1
Root of 49
Solutions are 7 and -7
We know that 7 is the square root of 49.
A negative number multiplied by itself gives positive
So -7 is also a square root of 49
