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3 years ago

Convert the following to Standard Form: (x - 5)^2 + 4

Mathematics

1 answer:

netineya [11]3 years ago

5 0

Answer:

x² - 10x + 29

Step-by-step explanation:

The standard form of a quadratic is , ax² + bx + c (a ≠ 0 )

Given

(x - 5)² + 4 ← expand factor using FOIL

= x² - 10x + 25 + 4

= x² - 10x + 29 ← in standard form

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a rectangular room is twice as long as its breadth and its peimeter is 540 m. find the number of bricks of size 20 cm ×12cm to p

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Answer:

Step-by-step explanation:

breadth = x

length = 2x

Perimeter = 540m

2*( length + breadth ) = 540

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3x = 270

x = 270/3

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2 years ago

What was the original price if: after 10% discount it becomes $450?

steposvetlana [31]

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divide by 9
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3 years ago

Read 2 more answers

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t

andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: $H_{0} = 3$

Alternate: $H_{a} = 3$

The test-statistic is given by:

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

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.

Sample of 100 customers.

This means that $n = 100$

3 tested at the null hypothesis

This means that $\mu = 3$

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This means that $X = 3.1$

The population standard deviation is known at 0.5 minutes.

This means that $\sigma = 0.5$

Value of the test-statistic:

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

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

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At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

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