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Andrej [43]
3 years ago
9

Can someone help?

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0
The answer is both A and D
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The heights of a certain population of corn plants follow a normal distribution with mean 145 cm and stan- dard deviation 22 cm
Firdavs [7]

Answer with explanation:

Given : The heights of a certain population of corn plants follow a normal distribution with mean \mu=145\ cm and standard deviation \sigma=22\ cm

a) Using formula z=\dfrac{x-\mu}{\sigma}, the z-value corresponds to x= 135 will be

z=\dfrac{135-145}{22}\approx-0.45

At x= 155, z=\dfrac{155-145}{22}\approx0.45

The probability that plants are between 135 and 155 cm tall :-

P(-0.45

Hence, 34.73% of the plants are between 135 and 155 cm tall.

b) Sample size : n= 16

Using formula z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}, the z-value corresponds to x= 135 will be

z=\dfrac{135-145}{22}{\sqrt{16}}\approx-1.82

At x= 155, z=\dfrac{155-145}{22}{\sqrt{16}}\approx1.82

The probability that plants are between 135 and 155 cm tall :-

P(-1.82

Hence,The percentage of the samples would the sample mean height be between 135 and 155 cm.= 93.12%  

4 0
3 years ago
Make x the subject, fully simplify please<br>will mark brainliest <br><br>7y⁴= 7y²(z-3ax)​
tekilochka [14]

Answer:

x = \dfrac{z - y^2}{3a}

Step-by-step explanation:

7y⁴ = 7y²(z - 3ax)​

Divide both sides by 7y².

y² = z - 3ax​

Add 3ax to both sides. Subtract y² from both sides.

3ax = z - y²​

Divide both sides by 3a.

x = \dfrac{z - y^2}{3a}

5 0
3 years ago
What is the laterial area of the cylinder 9 ft 22 ft
klemol [59]
The answer to this question is:

What is the laterial area of the cylinder 9 ft 22 ftAL≈1244.07

Hope This Helped, Syasiahill98
Your Welcome :)
7 0
3 years ago
What is the circumference of a circle with diameter of 10.4 cm?
bekas [8.4K]

The circumference of a circle:

2丌r

In this case, the radius:

10.4÷2

=5.2cm

The circumference

=2兀(5.2)

=2(5.2)兀

=10.4兀

Therefore the answer is 10.4兀.

Hope it helps!

5 0
4 years ago
A box of cereal has 11 servings and has a total of 77 grams of fiber. Find the unit rate of grams of fiber per serving.
Ksenya-84 [330]
77 g of fiber/ 11 servings= 7 g of fiber/ 1 serving.

The final answer is 7 g of fiber/serving~
7 0
3 years ago
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