Solve: negative 1 over 2 x 3 = –x 7

1 answer:

4 0

The equation to solve seems to be 1 / (2x) + 3 = - x + 7. Which is solved using this steps: First multiply both sides times 2x (this implies that x cannot be zero). As result you get: -1 + 6x = -2x^2 + 14x. Second group terms in the left side: 2x^2 + 6x - 14x - 1 = 0 => 2x^2 - 8x - 1 = 0. Third, use the quatratic equation to solve and you get two answers: x= -0.121 and x = 4.121

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Solve for x: (3x−2)(2x+3)=0

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(3x−2)(2x+3)=0
(3x−2)=0; x = 2/3
(2x+3)=0; x = -3/2

answer
x = -3/2 and x = 2/3

3 0

3 years ago

Read 2 more answers

Consider the following hypothesis test:H0: 20Ha: < 20A sample of 60 provided a sample mean of 19.6. The population standard d

elixir [45]

Answer:

a: z = -1.936

b: 0.0265

d: z < -1.645

Reject H0 if z < -1.645

Step-by-step explanation:

We are given:

H0: µ = 20

HA: µ < 20

n = 60, sample mean: 19.6, σ = 1.6

Since the alternate hypothesis has a < sign in it, it is a left tailed test. The < or > sign in the alternate hypothesis points towards the rejection region.

For a: We need to calculate the test statistic for our situation. This is done with a z-score formula for samples.

For b: we need to use the z-score table to look up the p-value for the score we calculate in part a. The p-value is 0.0265. This means that there is only about a 2.65% chance that the sample values were a result of random chance.

For d: Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645. This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis

See attached photo for all the calculations!