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Lyrx [107]
3 years ago
11

1) -7v + 4(2 - 5v) = -154

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

Answer:

v=6

Step-by-step explanation:

First let's simplify the equation so it will be easier to PEMDAS the equation later.

-7v+4(2-5v)=-154

-7v+8-20v=-154

-27v+8=-154

Now you must isolate the v variable. You do this by subtracting 8 first and then divide by -27.

-27v+8=-154

-27v=-162

v = 6

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A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A population of skiers has a distrib
fenix001 [56]

Answer:   0.03855

Step-by-step explanation:

Given :A population of skiers has a distribution of weights with mean 190 pounds and standard deviation 40 pounds.

Its maximum safe load is 10000 pounds.

Let X denotes the weight of 50 people.

As per given ,

Population mean weight of 50 people = \mu=50\times190=9500\text{ pounds}

Standard deviation of 50 people =\sigma=40\sqrt{50}=40(7.07106781187)=282.84

Then , the probability its maximum safe load will be exceeded =

P(X>10000)=P(\dfrac{X-\mu}{\sigma}>\dfrac{10000-9500}{282.84})\\\\=P(z>1.7671-8)\\\\=1-P(z\leq1.7678)\ \ \ \ [\because\ P(Z>z)=P(Z\leq z)]\\\\=1-0.96145\ \ \ [\text{ By p-value of table}]\\\\=0.03855

Thus , the probability its maximum safe load will be exceeded = 0.03855

3 0
3 years ago
I need help asap!!!!! pls you’ll earn brainlist
Anni [7]

Answer:

1 % decrease

Step-by-step explanation:

The percent of decrease time can be written as the expression \frac{200}{200}-\frac{198}{200} = \frac{2}{200}. Now, we convert the fraction into a decimal: \frac{2}{200} = \frac{1}{100} = 0.01. We can convert this decimal into a percentage: 0.01*100 = 1%.

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6 0
3 years ago
15+9=?(5+3) please help
Tema [17]

Answer:

3

because 15 + 9 = 24

and 3(5 + 3) which is 3 * 5 + 3 * 3 = 15 + 9 = 24

= 24 = 24

Step-by-step explanation:

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3 0
3 years ago
Paul's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought
Aleks04 [339]

Answer:

C. $12.60

Step-by-step explanation:

he has $25.00 for the whole week

monday through thursday, or four days, he buys school lunch for $1.50

1.5 x 4 = 6

on friday, he buys 4 slices of pizza for $1.60 per slice

4 x 1.6 = 6.4

Expenses together:

6.4 + 6 = 12.4

Find what he has left:

25-12.4 = 12.6

C. $12.60

6 0
2 years ago
Jason is playing a trivia game with his friends. At the end of each round, his score updates to the square of 1 less than the pr
mezya [45]

Answer:

8+n^2

Step-by-step explanation:

3 0
3 years ago
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