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Vika [28.1K]
3 years ago
9

2,5 m to 75 cm as ratio in its simplest form​

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

Answer:

10 : 3

Step-by-step explanation:

Convert one of the measurements so that it is in the same form as the other.  (Easiest to convert m to cms so we are not working with decimals)

2.5 m = 2.5 x 100 = 250 cm (since there are 100 cm in a meter)

Therefore, as a ratio:

250 : 75

We can divide both by 5:

50 : 15

We can further divide by 5:

10 : 3

(no further simplifying)

So 2.5 m to 75cm as a ratio is 10 : 3

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Step-by-step explanation:

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<u>A</u><u> </u><u>=</u><u> </u><u>2</u><u>8</u><u>c</u><u>m</u><u>²</u>

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3 years ago
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This is simple :)
If 9 chairs can fit in one box, and you have 3,456 chairs, just divide how many chairs you have by how many can fit in the box in order to find how many boxes you will need.

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3 years ago
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guajiro [1.7K]

Answer:

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Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

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Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

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Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

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3 years ago
An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted t
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Answer:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

\bar X=46.5 represent the mean

\sigma=1.1 represent the population standard deviation

n=150 sample size  

\mu_o =46.7 represent the value to verify

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:  

Null hypothesis:\mu = 46.7  

Alternative hypothesis:\mu \neq 46.7  

Since we know the population deviation the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Replacing we got:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

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Answer: 4.8

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