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3 years ago

Solve for w. -21 = 7w

Mathematics

2 answers:

MaRussiya [10]3 years ago

4 0

Answer:

-3

Step-by-step explanation:

divide 7 on both sides -21/7 = -3

w=-3

GalinKa [24]3 years ago

4 0

I’m going to do this out step by step...

Original problem: -21 = 7w

Divide both sides by 7

-21/ 7 = 7/7 w

Simplified to...

-3 = w

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Ted practices two types of swimming styles for a total of 50 minutes every day. he spends 20 minutes more practicing the breast

cluponka [151]

Answer:

see below

Step-by-step explanation:

butterfly = x minutes

breast = y minutes

total is 50 minutes

breast stroke = butterfly +20

Part A

x+y = 50

y = x+20

Part B

Substitute the second equation into the first

x+ (x+20) = 50

2x+20 = 50

2x+20-20 = 50-20

2x = 30

2x/2 = 30/2

x = 15

y = x+20

y = 20+15

y = 35 minutes

35 minutes on the breast stroke

Part C

45 minutes on the butterfly is not reasonable

We only have a total of 50 minutes

50-45 = 5

But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.

4 0

3 years ago

Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$