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dimulka [17.4K]
2 years ago
13

1) 3x + 3 = x +5

Mathematics
1 answer:
denis23 [38]2 years ago
3 0
So #1 you're lazy like me. But

1: x=1
2. No solution
3: x= -4/-3
4: 46=13 false
5: 37=-37 false
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Please help I’m confused
Sedbober [7]
F(-4) = 6, f(0) = -6, f(1) = -4
4 0
3 years ago
A Travel Weekly International Air Transport Association survey asked business travelers about the purpose for their most recent
siniylev [52]

Answer:

(a) P (p' > 0.25) = 0.

(b) P (0.15 < p' < 0.20) = 0.7784.

(c) P (133 < X < 171) = 0.2205

Step-by-step explanation:

Let <em>p</em> = proportion of business trip that were for  internal company visit.

It is provided that 19% responded that it was for an internal company visit, i.e.

<em>p</em> = 0.19.

A sample of <em>n</em> = 950 business travelers are randomly selected.

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

Thus, the distribution of \hat p is N (<em>μ</em> = 0.19, <em>σ </em>= 0.013).

(a)

Compute the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:

P (p' > 0.25) = P (Z > 4.62) = 0

*Use a <em>z</em>-table for the probability.

Thus, the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.

(b)

Compute the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:

P (0.15 < p' < 0.20) = P (-3.08 < Z < 0.77)

                               = P (Z < 0.77) - P (Z < -3.08)

                               = 0.7794 - 0.0010

                               = 0.7784

*Use a <em>z</em>-table for the probability.

Thus, the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.7784.

(c)

Compute the proportion of <em>X</em> = 133  and <em>X</em> = 171 as follows:

p' = 133/950 = 0.14

p' = 171/950 = 0.18

Compute the value of P (0.14 < p' < 0.20) as follows:

P (0.14 < p' < 0.18) = P (-3.85< Z < -0.77)

                               = P (Z < -0.77) - P (Z < -3.85)

                               = 0.2206- 0.0001

                               = 0.2205

*Use a <em>z</em>-table for the probability.

Thus, the probability that between 133 and 171 of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.2205.

7 0
3 years ago
A reasonable estimate for a mass of a baby is
DerKrebs [107]
10 lb
well I could be wrong
3 0
3 years ago
How do you convert 2000 mg to grams? 2000mg = ____g
Mice21 [21]
1 mg = 0.001 grams. therefore 2000 mg = 2 grams
3 0
3 years ago
Jessica started spending more time on
crimeas [40]

Answer:

B. 7.3 %

Step-by-step explanation:

Given:

Initial average grade = 82

Final average grade = 88

Duration for the increase = 3 weeks

Therefore, increase in average grade = Final - Initial = 88 - 82 = 6

Now, percent increase in average grade is given as:

\% \textrm{increase}=\frac{\textrm{Increase}}{\textrm{Initial grade}}\times 100\\\% \textrm{increase}=\frac{6}{82}\times 100\\\% \textrm{increase}=\frac{600}{82}=7.3\%

Therefore, the percent increase in her  average grade over the 3-week  period is 7.3 %.

8 0
3 years ago
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