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3 years ago

A machine can make a box in 1 3/10 seconds. How many boxes can the machine make in 1 hour

Mathematics

2 answers:

ExtremeBDS [4]3 years ago

6 0

Answer:

2,769 boxes in 1 hour.

Step-by-step explanation:

The time taken by a machine to make a box = $1\frac{3}{10}$ seconds = 1.3 seconds

We have to calculate how many boxes can the machine make in 1 hour.

As we know 60 seconds = 1 minute and 60 minute = 1 hour

∵ 1.3 seconds taken by the machine to make = 1 box

∴ in one minute machine can make boxes = $\frac{60}{1.3}$

= 46.15 boxes

∴ in 1 hour machine can make boxes = 46.15 × 60

= 2,769 boxes

Machine can make 2,769 boxes in 1 hour.

Kazeer [188]3 years ago

4 0

Since a machine make a box per 0.3 seconds, 1 hour would be 3600. 3600 divided by 0.3 is 12000. And that is the answer.

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Solve for x. PLZ WAIT FOR THE PHTO TO UPLOAD

stepan [7]

6x² - 5x + -21 = 0

Because this whole equation equals zero, we must simply factorize the first half of the equation, or the left side.

(3x - 7)(2x + 3) = 0

I was never really taught a specific way to factorize, so I usually just guess and check when factorizing. It usually takes a long time, it always gives you the tight answer.

Then, take each equation and make it equal zero.

3x - 7 = 0 AND 2x + 3 = 0

3x - 7 = 0

Add 7 to both sides.

3x = 7

Divide both sides by 3.

x = 7/3

Now, we do our second equation.

2x + 3 = 0

Subtract 3 from both sides.

2x = -3

Divide both sides by 2.

x = -3/2

So, x = 7/3 AND x = -3/2

So, your answer is C) x = 7/3, x = -3/2

~Hope I helped!~

7 0

3 years ago

twinlakes on the shelf of a covenience store lose their fresh tastines over time. we say that the taste quality is 1 when the tw

Zolol [24]

Answer:

The graph is shown below.

The time to make the taste to half is <u>4.265 s.</u>

Step-by-step explanation:

Given:

Initial value of the taste is, $Q_0=1$

Therefore, the quality of taste over time 't' is given as:

$Q(t)=Q_0(0.85)^t\\Q(t)=1(0.85)^t$

Now, when the taste reduces to half, $Q=0.5$

Therefore,

$0.5=1(0.85)^t$

Taking natural log on both the sides, we get:

$\ln(0.5)=\ln(0.85)^t\\\ln(0.5)=t\ln(0.85)\\t=\frac{ln(0.5)}{\ln(0.85)}=4.265\ s$

Therefore, the time to make the taste to half is <u>4.265 s.</u>

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3 years ago

A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When

Stolb23 [73]

Answer:

Step-by-step explanation:

From the given information;

The null hypothesis & alternative hypothesis:

$\mathbf{H_o:\mu = 2} \\ \\ \mathbf{H_1 : \mu \ne 2}$

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$Z = \dfrac{2.025- 2}{\dfrac{0.07}{\sqrt{35}}}$

$Z = \dfrac{0.025}{\dfrac{0.07}{\sqrt{35}}}$

$Z =2.11$

The p-value = 2(Z > 2.11) since this is a two-tailed test

The p-value = 2( 1 - Z < 2.11)

The p-value = 2 (1 -0.9826)

The p-value = 2 (0.0174)

The p-value = 0.0348

Decision Rule: To reject the $\mathbf{H_o}$ if the p-value is less than $\mathbf{H_o}$

Conclusion: We fail to reject $\mathbf{H_o}$ and conclude that the population mean = 2, thus the machine is properly adjusted.

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3 years ago

Simplify (4x) * mn * 15 * 2

Vinvika [58]

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3 years ago

dmitriy555 [2]

Answer:

240 times

Step-by-step explanation:

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3 years ago