Answer:
The height of the cone is 10.9 cm
Step-by-step explanation:
step 1
Find the height of the cone
Applying the Pythagoras Theorem





therefore
The height of the cone is 10.9 cm
Answer: x = -7
Step-by-step explanation: use the slope formula and slope intercept form y = mx + b to find the equation
Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that
. If we plug the side lengths in for a and b, we get
. This can be simplified to
, or
. If we root both sides, we find that c is equal to
, which is slightly more than 7, at around 7.2.
Answer:
315 divide by 7 nevermind
Step-by-step explanation:
Answer:
The heaviest 5% of fruits weigh more than 747.81 grams.
Step-by-step explanation:
We are given that a particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams.
Let X = <u><em>weights of the fruits</em></u>
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean weight = 733 grams
= standard deviation = 9 grams
Now, we have to find that heaviest 5% of fruits weigh more than how many grams, that means;
P(X > x) = 0.05 {where x is the required weight}
P(
>
) = 0.05
P(Z >
) = 0.05
In the z table the critical value of z that represents the top 5% of the area is given as 1.645, that means;



x = 747.81 grams
Hence, the heaviest 5% of fruits weigh more than 747.81 grams.