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deff fn [24]
2 years ago
12

An organic farm has been growing an heirloom variety of summer squash. A sample of the weights of 40 summer squash revealed that

the mean weight is 402.7 grams and the standard deviation 8.8 grams. What is the probability that the mean weight for a sample of 40 summer squash exceeds 405.5 grams?
a. 0.3783.
b. 0.0228.
c. 1.0000.
d. 0.5000.
Mathematics
1 answer:
natta225 [31]2 years ago
5 0

Answer:

b. 0.0228

Step-by-step explanation:

We are given that

n=40

Mean,\mu=402.7 g

Standard deviation, \sigma=8.8g

We have to find the probability hat the mean weight for a sample of 40 summer squash exceeds 405.5 grams.

P(x>405.5)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}>\frac{405.5-402.7}{\frac{8.8}{\sqrt{40}}})

P(x>405.5)=P(Z>\frac{2.8}{\frac{8.8}{\sqrt{40}}})

P(x>405.5)=P(Z>2.01)

P(x>405.5)=1-P(Z\leq 2.01)

P(x>405.5)=1-0.977784

P(x>405.5)=0.022216

Hence, option b is correct.

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Solve for all of the missing angles in the rhombus below, given that m∠3 = 54°. (Round to the nearest tenth as needed.)
Marat540 [252]

The measure of angles 1, 2, 4, and 5 are 54 degrees, 90 degrees, 36 degrees, and angle 36 degrees.

<h3>What is a rhombus?</h3>

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have shown the rhombus in the picture.

As we know the diagonals bisect at a 90-degree angle.

So angle 2 = 90 degree

angle 1 = angle 3

angle 1 = 54 degrees

angle 1 + angle 2 + angle 5 = 180

54 + 90 + angle 5 = 180

angle 5 = 36 degrees

angle 5 = angle 4 = 36 degrees

Thus, the measure of angles 1, 2, 4, and 5 are 54 degrees, 90 degrees, 36 degrees, and angle 36 degrees.

Learn more about the rhombus here:

brainly.com/question/22825947

#SPJ1

3 0
2 years ago
8 3/10+7 2/15 just having problems solving this one.
bogdanovich [222]
The answer to that would be 15 13/30. You have to change the denominators, as well as the numerators, to fit both fractions. I did 10 * 3 = 30 & 15 * 2 = 30. That resulted in me getting 3 * 3 = 9 + 2 * 2 = 4, which equals 13.

I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)
7 0
3 years ago
I WILL GIVE BRAINLIEST
slamgirl [31]
C. 71%
It is really .708 but just round it up to .71.
4 0
3 years ago
Read 2 more answers
Can someone help me with these two proof questions?
timurjin [86]

The proofs of above Questions is in attachment !

6 0
3 years ago
Anybody know how to do # 14, 15, and 16? Would also be nice if yall told me if any of these were wrong
mote1985 [20]

Step-by-step explanation:

1. Right

2. Right

3. Right

4. Right

5. Right

6. Right

7. Its not properly visible sorry for this.

8. Its wrong

(\frac{1}{3} ) {}^{2}  =  \frac{1}{9}

9. Right

10. Its wrong

0.5 {}^{3}  = 0.125

11. Right

12. Its wrong.... Bcz square of minus is plus

- 9 {}^{2}  = 81

13. Right

14. According to the BODMAS rule..

15 - 7 \times 2 +  {2}^{3}

15 - 14 + 8

1 + 8 = 9

15.

(11 - 8) {}^{2}  - 2 \times 6

3 {}^{2}  - 12

9 - 12 =  - 3

16.

12 +  \frac{ {9}^{2} }{3}

12 +  \frac{81}{3}

12 + 27 = 39

<h3>Hope this helps u </h3>

... ✌️❤️

7 0
2 years ago
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