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padilas [110]
3 years ago
13

What is the product of the 2 solutions of the equation x^2+3x-21=0

Mathematics
1 answer:
Advocard [28]3 years ago
3 0
X²+3x-21=0

1) we solve this square equation:
x=[-3⁺₋√(9+84)] / 2=(-3⁺₋√93)/2
We have two solutions:
x₁=(-3-√93)/2
x₂=(-3+√93)/2

2) we compute the product of the 2 solutions found.
[(-3-√93)/2][(-3+√93)/2] =(-3-√93)(-3+√93) / 4=
=(9-93)/4=-84/4=-21

Answer: the product of the 2 solutions of this equation is -21
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A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th
andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

H_0: p = 0.5

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

H_1: p > 0.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that n = 100, X = \frac{60}{100} = 0.6

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

5 0
3 years ago
Work out area of a triangle base 9cm height 4cm
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Area = 1/2 x base x height

Area = 1/2 x 9 x 4

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Answer:

0

Step-by-step explanation:

  1. 0 correct
  2. 2 incorrect
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The vertex of the graph of a quadratic function is (3, 1) and the y-intercept is (0, 10). Which of the following is the
pishuonlain [190]

Answer:

C. y = x² - 6x + 10

Step-by-step explanation:

Formula f(x)=a(x-h)^2+k (h,k) is vertex

Y=a (x-3)^2+1

Plug in y intercept

10=a (0-3)2+1

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10=9a+1

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Y=x2-6x+9+1

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A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she
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