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Alja [10]
3 years ago
12

Round 489 to the nearest ten​

Mathematics
2 answers:
Helga [31]3 years ago
7 0

Answer:

<em>5</em><em>0</em><em>0</em>

Step-by-step explanation:

<em>4</em><em>8</em><em>9</em><em> </em><em>w</em><em>h</em><em>e</em><em>n</em><em> </em><em>r</em><em>o</em><em>u</em><em>n</em><em>d</em><em>e</em><em>d</em><em> </em><em>t</em><em>o</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>n</em><em>e</em><em>a</em><em>r</em><em>e</em><em>s</em><em>t</em><em> </em><em>1</em><em>0</em><em> </em><em>i</em><em>s</em><em> </em><em>5</em><em>0</em><em>0</em>

Lynna [10]3 years ago
6 0
Your answer is 500. The tenths place is above half so that wouls round up to 500.
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Find y on this triangle
WARRIOR [948]

Answer:

5√3 / 2

Step-by-step explanation:

tan 30 = ( 5 / 2 ) / y

1 / √3 = 5 / 2y

2y = 5√3

y = 5√3 / 2

5 0
2 years ago
A random sample of size n1= 25, taken from a normal population with a standard deviation σ1= 5, has a mean X1= 80. A second rand
sesenic [268]

Answer:

The 94% confidence interval would be given by 2.898 \leq \mu_1 -\mu_2 \leq 7.102

Step-by-step explanation:

Previous concepts  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X_1 =80 represent the sample mean 1

\bar X_2 =75 represent the sample mean 2

n1=25 represent the sample 1 size  

n2=36 represent the sample 2 size  

\sigma_1 =5 sample standard deviation for sample 1

\sigma_2 =3 sample standard deviation for sample 2

\mu_1 -\mu_2 parameter of interest.

The confidence interval for the difference of means is given by the following formula:  

(\bar X_1 -\bar X_2) \pm z_{\alpha/2}\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}} (1)  

The point of estimate for \mu_1 -\mu_2 is just given by:

\bar X_1 -\bar X_2 =80-75=5

Since the Confidence is 0.94 or 94%, the value of \alpha=0.06 and \alpha/2 =0.03, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that z_{\alpha/2}=1.88  

The standard error is given by the following formula:

SE=\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}

And replacing we have:

SE=\sqrt{\frac{5^2}{25}+\frac{3^2}{36}}=1.118

Confidence interval

Now we have everything in order to replace into formula (1):  

5-1.88\sqrt{\frac{5^2}{25}+\frac{3^2}{36}}=2.898  

5+1.8\sqrt{\frac{6^2}{36}+\frac{7^}{49}}=7.102  

So on this case the 94% confidence interval would be given by 2.898 \leq \mu_1 -\mu_2 \leq 7.102  

7 0
3 years ago
Lucy took three tests. If her median score was 86, her mean score was 87, and the range was 13, what were her three test scores?
sveticcg [70]
      x+82+y
______________  =87
         3
y-x=17
87,98, and 82.
3 0
3 years ago
Can someone help me please
xeze [42]

9514 1404 393

Answer:

  slope = 1

Step-by-step explanation:

In the attachment, we have shown rise and run as 3 units each. The segments could be drawn 1 unit long. In any event, the ratio is the slope:

  slope = rise/run = 3/3

  slope = 1

_____

It is most convenient to draw the rise and run segments from/to places where the line crosses grid intersections. Often, but not always, the y-intercept will be such a point. Then you can look for the nearest grid crossing for figuring rise and run.

Here, the y-intercept is (0, 1), and the closest grid crossing to the right is (1, 2). The rise is 2-1 = 1, and the run is 1-0 = 1. The ratio is 1/1 = 1, same as above. The ratio of rise to run will be the same everywhere for a straight line.

4 0
2 years ago
Fine the area of a circle with a radius of 7 in. Write the formula, substitute, solve.
bija089 [108]

Formula: A=(pi)r^2

Substitution: A=3.14(7^2)

                     A=3.14(49)

Solve: A=153.86 in^2


*I personally like to use the pi sign on my calculator to multiply the radius squared by, but my keyboard did not have a pi sign.  Usually, the pi sign is more exact.  If you used the pi sign, your answer would be 153.94 inches^2.  Hope this helps!

8 0
3 years ago
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