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Feliz [49]
3 years ago
12

Can someone help me with number 16 please

Mathematics
2 answers:
astra-53 [7]3 years ago
8 0
Mars- 6.8×10to the 3rd power
Earth- 1.2763×10 to the 4th power

10 to the 4th power looks like: 10,000

10 to the 3rd power looks like: 1,000

Now that you have that just multiply the powers by the number.

Mars: 6.8× 1,000= ← equation

Earth: 1.2763× 10,000= ← equation

an easy way to remember the powers of 10 are just adding a 0 for every power of 10. example, 10 to the power of 1 is 10, 10 to the power of 2 is 100. Or you can multiply 10 by itself that many times. example 10 to the power of 4: 10×10×10×10= 10,000.

With decimals you can move the decimal that many times. example, 678.90. if 678.90 is moved 10 to the power of 3 than you can move the decimal to the right 3 times and get 678,900 because you have to add another 0 because its the power of 3 and not 2 it it was by 2 it would have been 67,890.

Earth answer: 12,763
Mars answer: 6,800
Earth is greater by: 5,963

hope this helps
expeople1 [14]3 years ago
6 0
The answer would be D) 5,963
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The valve was tested on 270 engines and the mean pressure was 6.6 lbs/square inch. Assume the variance is known to be 0.49. If t
BlackZzzverrR [31]

Answer:

z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347      

The p value for this case would be given by"

p_v =2*P(z>2.347)=0.0189  

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

Step-by-step explanation:

Information given

\bar X=6.6 represent the sample mean

s=\sqrt{0.49}= 0.7 represent the population deviation

n=270 sample size      

\mu_o =6.5 represent the value that we want to test    

\alpha=0.1 represent the significance level

z would represent the statistic

p_v represent the p value for the test

Hypothesis to verify

We want to verify if the true mean for this case is equal to 6.5 lbs/square inch or not , the system of hypothesis would be:      

Null hypothesis:\mu= 6.5      

Alternative hypothesis:\mu \neq 6.5      

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

And replacing we got:

z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347      

The p value for this case would be given by"

p_v =2*P(z>2.347)=0.0189  

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

8 0
4 years ago
You could win a giant jar of M&Ms, if only you could guess how many are in the jar. You find a smallerjar such that the gian
sleet_krkn [62]

Answer:

There are 7360 M&Ms in larger jar.

Step-by-step explanation:

We are given the following in the question:

A giant jar is such that it is exactly four times times the smaller jar in dimensions.

If r and h is the radius and height of the cylindrical jar respectively, then the dimensions of the larger are:

R = 4r\\H=4h

Number of M&Ms in smaller jar = 115

Volume of smaller jar =

v = \dfrac{1}{3}\pi r^2 h

Volume of larger jar =

V =\dfrac{1}{3}\pi R^2 H=\dfrac{64}{3}\pi r^2 h

Number of M&Ms in larger jar:

v = \dfrac{1}{3}\pi r^2 h\rightarrow 115\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 115\times 64\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 7360

Thus, there are 7360 M&Ms in larger jar.

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Answer:

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Step-by-step explanation:

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Answer:

<

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