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Juli2301 [7.4K]
3 years ago
15

1/2x +1/4y =32 , then find 2x+y

Mathematics
1 answer:
NeX [460]3 years ago
3 0

Answer:

128

Step-by-step explanation:

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Two sides of a trapezoidal are 25 meters. The third side is 40 meters. The fourth side is 20 meters shorter than the longest sid
Aloiza [94]

Answer:

110

Step-by-step explanation:

longest side would by 40 so 40 - 20 = 20. Add all the sides up 25+25+40+20=110

3 0
3 years ago
A casino features a game in which a weighted coin is tossed several times. The table shows the probability of each payout amount
kkurt [141]

Answer:

The expected payout of the game is $230.46.

Step-by-step explanation:

The given table is

Payout Amount :    $160       $4400      $145000      

Probability         :    0.146       0.024          0.0007

We need to find the expected payout of the game.

The formula for expected payout is

\text{Expected payout}=\sum n_iP(x_i)

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.

Using the above formula we get

\text{Expected payout}=160\times 0.146+4400\times 0.024+145000\times 0.0007

\text{Expected payout}=23.36+105.6+101.5

\text{Expected payout}=230.46

Therefore the expected payout of the game is $230.46.

6 0
3 years ago
Nielsen ratings are based on televisions in 50005000 households. Nielsen estimates that 12 comma 00012,000 people live in these
avanturin [10]

Answer:

We are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%

Step-by-step explanation:

-From the given information, \hat p=0.65.

-We calculate the confidence interval using this value at 95% confidence level:

CI=\hat p\pm z \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\\\=0.65\pm 1.96\times \sqrt{\frac{0.65\times 0.35}{12000}}\\\\\\=0.65\pm 0.0085\\\\\\=[0.6415,0.6585]

So, the 95% confidence interval is (0.6515,0.6585).

Hence, we are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%.

6 0
3 years ago
What does "a"equal to?
slamgirl [31]
Distribute on the left side
7.4a+22.2=3.2a+43.2
Subtract 3.2a from both sides
4.2a+22.2=43.2
Subtract 22.2 from both sides
4.2a=21
Divide both sides by 4.2
a=5
5 0
3 years ago
What is the greatest number that has one comma when written with numerals and with number names?
Soloha48 [4]
I believe it would be 999,999

7 0
3 years ago
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