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Setler79 [48]
3 years ago
14

What is the positive solution to the equation 2x^2 = 72?

Mathematics
2 answers:
GaryK [48]3 years ago
7 0
2x^2=72
x^2=36
x=±6
x=6
x=-6
vagabundo [1.1K]3 years ago
4 0

Answer:

x= 6

Step-by-step explanation:

6*6=36*2=72

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kotegsom [21]

Answer:

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4 0
3 years ago
A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than
Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let \hat p = <u><em>sample proportion of people who prefer to start their own business</em></u>

The z-score probability distribution for the sample proportion is given by;

                               Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

            n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( \hat p \leq 70%)

       P( \hat p \leq 70%) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \leq \frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } } ) = P(Z \leq -1.07) = 1 - P(Z < 1.07)

                                                                       = 1 - 0.8577 = <u>0.1423</u>

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0
3 years ago
I need help with this ​
gtnhenbr [62]
So what are we trying to find the reduced fraction or inverse operation
5 0
3 years ago
Equation for 14+ W= 26
OLEGan [10]

Answer: w = 12

Step-by-step explanation: In this problem, we want to get <em>w</em> by itself on one side of the equation. Since we have <em>14 + W</em>, in order to get <em>w</em> by itself, we must subtract 14 from the left side of the equation.

If we subtract 14 from the left side of the equation, we must also subtract 14 from the right side of the equation. So on the left, +14 and -14 cancel each other and on the right, 26 - 14 simplifies to 12 so <em>w = 12</em>.

To check our answer, we substitute a 12 back in for <em>w </em>in the original equation and we have 14 + (12) = 26 or 26 = 26 which is a true statement so the answer checks.

6 0
3 years ago
What is the true solution to 2 in e^in 5x = 2 in 15
Mkey [24]
We have to solve this equation:
2 * ln e ^{ln(5x)}= 2 * ln 15/:2 \\ ln e ^{ln(5x)}=ln 15 \\ e ^{ln(5x)}=15 \\
5 x = 15
x = 15 : 5
Answer:
x = 3
7 0
3 years ago
Read 2 more answers
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