1. Which expressions are completely factored?Select each correct answer.

24a^4+18=6(4a^4+3)

12a^3+8a=4(3a^3+2a)

16a^5−20a^3=4a^3(4a^2−5)

30a^6−24a^2=3a^2(10a^4−8)

Answers

Answer 1

Answer: All but B, as on B an a can be factored out

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A women-only gym has 60% of its members married. 75% of the married women exercise in the morning and 30% of the single women exercise in the morning. Are being married and exercising in the morning independent?A) Yes. P(married | exercise in the morning) = P(exercise in the morning | married) = 75%
B) Yes. P(married and exercise in the morning) = P(married)·P(exercise in the morning) = 45%
C) No. P(married and exercise in the morning) = 60% & P(married)·P(exercise in the morning) = 42%
D) No. P(married and exercise in the morning) = 45% & P(married)·P(exercise in the morning) = 34.2%

Answers

Given:
Women only gym:
60% married women
75% of the married women exercise in the morning
30% of the single women exercise in the morning

60% married women + 40% single women = total women members

60% married
75% exercise in the morning
25% exercise in the afternoon or evening

40% single
30% exercise in the morning
70% exercise in the afternoon or evening

Exercise in the morning
married: 60% x 75% = 45%
single: 40% x 30% = 12%

B) Yes. P(married and exercise in the morning) = P(married)·P(exercise in the morning) = 45%

Answer:

D) No. P(married and exercise in the morning) = 45% & P(married)·P(exercise in the morning) = 34.2%

Step-by-step explanation:

Can someone help me with this triangle??
Find missing side lengths

Answers

Answer:

M= 15 degrees N= 15 degrees

Step-by-step explanation:

Right triangles are always 90 degrees so 90-60=30

since theres 2 sides you have to split 30 in 2 so 30 divided by 2 equals 15

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?

Answers

Hi! Sorry, it would've taken too long to type out, so I wrote it and have the attachment. Good luck!

How to work out 280 times 380

Answers

2 8 0
x 3 8 0
0 0 0
2 2 4 0
+ 8 4 0
1 0 6 4 0 0

So, 280 x 380 = 106400

Here is another way
1st- put the #'s on top of each other
280
380
2nd- since both of them have 0's when done just add two 0
3- take out zeros HAVE TO BE AT END OF #
4- now ur problem is 28 • 38
5- put #'s on top of each other
28
38
6- multiply 8 by 8 and then 2 by 8
28
38
____
4 take 6 to the top of 2
6
28
38
_____
224 2 times 8=16 add 6 to 16= 16+6= 22
Then put a 0 under the 4 because we are not adding anything to that 4

Then do
28
38
28•3
You get 84
28
38
_____
224
84*put 84 in remaing places
Add those two togethed
224+84= 308
Then add two zeros
30800
Add a comma
30,800 is ur finale answer

What is the correct solution to the equation? 5(x - 5) = 15 a. 50
b. 2
c. 8
d. 80

Answers

c. 8

You substitute 8 into x, which makes the equation 5(8-5) = 15. 8-5 is 3, and 5 x 3 = 15.

Alison buys 2 boxes of strawberries, box A and box B. Box A contains 15 strawberries. The strawberries in box A have a mean weight of 24 grams. Box B contains 25 strawberries. The strawberries in box B have a mean weight of 18 grams. Alison puts all 40 strawberries into a bowl. Work out the mean weight of the 40 strawberries