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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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ladessa [460]

Answer:

The answer is 1/6

Step-by-step explanation:

So Think of a half and then divide it into 3 parts for a half it will be 1/3 but for a meter it will be 1/6 because there is 2 half's in 1 whole

Hope this helps!! :D

Please mark  brainliest if this helped you!

5 0
4 years ago
A box contains four bowling balls numbered 2, 4, 6, and 10 according to their weight. Two are drawn randomly without replacement
Lilit [14]

Answer:

E(M) = 23/3

Var(M) = 53/9.

Step-by-step explanation:

There are three possible values for M: 4, 6, and 10.

\begin{array}{|l|l|}\cline{1-2}\\[-1em]\text{Larger Number} & \text{Smaller Number}\\ \cline{1-2}\\[-1em]4 & 2 \\\cline{1-2}\\[-1em]6 & 2, ~4\\\cline{1-2}\\[-1em] 10 & 2, ~4, ~6\\\cline{1-2} \end{array}.

That's six unique combinations in total. If the balls are drawn randomly, the probability for getting each combination shall be equal. That is:

\begin{array}{|c|c|}\cline{1-2}\\[-1em]m & P(\text{M} = m)\\\cline{1-2}\\[-1em] 2 & 0\\\cline{1-2}\\[-1em] 4 & 1/6 \\\cline{1-2}\\[-1em] 6 & 2/6\\\cline{1-2}\\[-1em] 10 & 3/6\\\cline{1-2}\end{array}.

Consider the formula for the expected value of a discrete random variable:

\begin{aligned} E({\rm M})& = \sum{[m \cdot P(\mathrm{M} = m)]}\\ &= 4 \times \frac{1}{6} + 6\times \frac{2}{6} + 10 \times \frac{3}{6}\\ &= \frac{23}{3}\end{aligned}.

Formula for the variance of a discrete random variable (note that this formula can take many other forms):

\begin{aligned}Var(\mathrm{M}) &= \sum{[m^{2}\cdot P(\mathrm{M}= m)]} - \mu^{2}\\&= 4^{2}\times \frac{1}{6} + 6^{2} \times \frac{2}{6} + 10^{2} \times \frac{3}{6} - \left(\frac{23}{3}\right)^{2}\\&= \frac{53}{9}\end{aligned}.

5 0
3 years ago
Suppose that we have a box that contains two coins: A fair coin: P(H)=P(T)=0.5 . A two-headed coin: P(H)=1 . A coin is chosen at
topjm [15]

Answer:

2 . True

Step-by-step explanation:

2. The two events are mutually exclusive events. This means that the probabilities on coins 1 and coins 2 are independent on each other. In other words, the probability of the first coin does not affect the probability of the second coin outcome.

3 0
4 years ago
Pre Calc HELP! Plz HELP
irga5000 [103]
Its B or D!

I hope this helps!

take a lucky guess!
5 0
4 years ago
What is the slope – intercept form of the linear equation 7x – y = 14?​
lisabon 2012 [21]

Answer:

y=7x+14

Step-by-step explanation:

-y=14-7x

y=-14+7x

y=7x-14

5 0
3 years ago
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