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3 years ago

Write the following decimal number in its equivalent fraction form. -3.143

Mathematics

2 answers:

Rzqust [24]3 years ago

8 0

-3.143 is equivalent to -(3143/1000)

m_a_m_a [10]3 years ago

6 0

I think it's -3 and 143/1000

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Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling me

amid [387]

Answer:

Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.

Step-by-step explanation:

The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.

This means that at the null hypothesis we test if the proportion is at least 60%, that is:

$H_{0}: p \geq 0.6$

And the alternate hypothesis is:

$H_{a}: p < 0.6$

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.

0.6 is tested at the null hypothesis:

This means that:

$\mu = 0.6$

$\sigma = \sqrt{0.6*0.4}$

Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.

This means that $n = 575, X = \frac{338}{575} = 0.5878$

Value of the test-statistic:

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

$z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}$

$z = -0.6$

Pvalue of the test and decision:

We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.

Looking at the z-table, z = -0.6 has a pvalue of 0.2743.

Since 0.2743 > 0.1, the threshold probably was met.

3 0

3 years ago

Pls help ASAP ‼️ will give brainliest

vlada-n [284]

Answer: 2592

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Please prove the following trigonometric identity.

Brums [2.3K]

Step-by-step explanation:

solution:- from LHS 1-cos²x/sinx

∵ 1-cos²x = sin²x

∴ sin²x /sinx = sinx

from RHS tanx × cosx

∵tanx = sinx×cosx

∴ sinx/ cosx × cosx = sinx

Since, LHS = RHS proved ___

3 0

3 years ago

43/50 equals what decimal

snow_lady [41]

43 divided by 50 equals to 0.86

4 0

3 years ago

Kaitlyn tony and juan served a total of 71 orders Monday at the school cafeteria. Toney served 9 fewer orders than kaitlin. Juan

morpeh [17]

Answer:

Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Total of orders server at the school cafeteria by Kaitlin, Tony and Juan = 71

Tony served 9 orders fewer than Kaitlin

Juan served 2 times as many orders as Kaitlin

2. How many orders did each one serve?

For answering this question, we should prepare and write down our equation this way:

x = Number of orders served by Kaitlin

2x = Number of order served by Juan ( 2 times as many orders as Kaitlin)

x - 9 = Number of order served by Tony (9 orders fewer than Kaitlin)

x + 2x + x - 9 = 71

4x = 71 + 9

4x = 80

x = 80/4 = 20

x = 20 ⇒ 2x = 40 ⇒ x - 9 = 11

Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.

3 0

3 years ago