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3 years ago

Round 198.4 to 3 significant figures

2 answers:

7 0

To round to 3 sign. fig. you have to look at your fourth figure, is it between 0-4? If yes, then it´s should be rounded down. Is it between 5-9? If no, then it´s should be rounded up.
Now, in this case the fourth figure is 4, meaning it should be rounded down..
198 is therefore your answer:D
Have a nice day

QveST [7]3 years ago

7 0

To round to any amount of significant figures, you want to count how many numbers there are, and take into account the amount of significant figures. In this case it would be 198, because you wouldn't round the number. In future reference, if a zero is after a decimal (198.0) the zero is considered a significant number. If the zero is sandwiched between two numbers (101) it is significant. You can always use expanded notation if the number is too big to round (1570000 rounded to 3 significant figures would be 1.57x10^6) expanded notation is a bit tricky and you can definitely find some helpful YouTube videos that will go more into depth. I hope this was helpful!

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Which equation could be used to find the dimensions of the rectangle?

Nikolay [14]

The second answer i believe

7 0

3 years ago

A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume 320π of cubic feet. What is the

8090 [49]

To solve for radius use the volume formula and solve for r.

V = πr²h
320π = πr²(20)
320π/π = 20r²
320 = 20r²
320/20 = r²
16 = r²
√16 = r
4 = r

Answer is D. 4 feet.

Hope this helps :)

7 0

3 years ago

Read 2 more answers

Men are believed to have a slightly longer average length of short hospital stays than women; 5.2 days versus 4.5 days respectiv

Georgia [21]

Answer:

Since our calculated value is lower than our critical value, $z_{calc}=2.02$ , we have enough evidence to FAIL to reject the null hypothesis at 1% of singificance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

Step-by-step explanation:

1) Data given and notation

$\bar X_{1}=5.2$ represent the mean for group men

$\bar X_{2}=4.5$ represent the mean for group women

Assuming these values for the remaining data:

$\sigma_{1}=1.2$ represent the population standard deviation for the sample men

$\sigma_{2}=1.5$ represent the population standard deviation for the sample women

$n_{1}=32$ sample size for the group men

$n_{2}=30$ sample size for the group women

z would represent the statistic (variable of interest)

$p_v$ represent the p value

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for men it's higher than the mean for women, the system of hypothesis would be:

H0: $\mu_{1} \leq \mu_{2}$

H1: $\mu_{1} > \mu_{2}$

If we analyze the size for the samples both are higher than 30, and we know the population deviation's, so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

We have all in order to replace in formula (1) like this:

$z=\frac{5.2-4.5}{\sqrt{\frac{1.2^2}{32}+\frac{1.5^2}{30}}}=2.02$

4) Find the critical value

In order to find the critical value we need to take in count that we are conducting a right tailed test, so we are looking on the normal standard distribution a value that accumulats 0.01 of the area on the right and 0.99 of the area on the left. We can us excel or a table to find it, for example the code in Excel is:

"=NORM.INV(1-0.01,0,1)", and we got $z_{critical}=2.33$

5) Statistical decision

Since our calculated value is lower than our critical value, $z_{calc}=2.02$ , we have enough evidence to FAIL to reject the null hypothesis at 1% of significance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

6 0

3 years ago

I need help with number 20 please

Doss [256]

Answer:

3 = 92 degree 4 = 88 degree

Step-by-step explanation:

3 = 45 + 47 = 92 degree

4 = 180 - 92 = 88 degree

5 0

2 years ago

Read 2 more answers

McKayla checked out 11 books from the library on Tuesday. On Wednesday, she went back to the library and checked out 23 more boo

tresset_1 [31]

Answer:

i would say about 33 books in total from tuesday to wednesday

Step-by-step explanation:

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2 years ago