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kari74 [83]
3 years ago
8

What number does 584 round to? 580 or 585?

Mathematics
2 answers:
poizon [28]3 years ago
7 0
580
You can remember this by saying
5 or more let it soar
4 or less let it rest
Which means if there's 5 or more round up but if it's 4 or less round it down
kvasek [131]3 years ago
5 0
Rounding to the nearest 5, it rounds to 585. This is because it is closer to 585 than 580. However, rounding to the nearest 10, it rounds to 580.
You might be interested in
In the given diagram, if AP = 15 cm, AQ = 24 cm and PB + QC = 26 cm, find QC – PB, given PQ || BC.
Anna35 [415]

Answer:

QC - PB = 6

Step-by-step explanation:

Given PQ is parallel to BC then it divides the sides proportionally, that is

\frac{AP}{AQ} = \frac{PB}{QC} = \frac{15}{24} = \frac{5}{8} , then

\frac{PB}{QC} = \frac{5}{8} ( cross- multiply )

8PB = 5QC → *

Given PB + QC = 26 , then

PB = 26 - QC

Substitute into *

8(26 - QC) = 5QC ← distribute left side

208 - 8QC = 5QC ( subtract 5QC from both sides )

208 - 13QC = 0 ( subtract 208 from both sides )

- 13QC = - 208 ( divide both sides by - 13 )

QC = 16

Thus PB = 26 - QC = 26 - 16 = 10

QC - PB = 16 - 10 = 6

8 0
3 years ago
Distance between (-5, -5) And (-9, -2)
Sergeeva-Olga [200]
d =  \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}  \\ d =  \sqrt{(-9 - (-5))^2+(-2 - (-5))^2}  \\ d =  \sqrt{(-4)^2+(3)^2}  \\ d =  \sqrt{16 + 9}  \\ d =  \sqrt{25} = 5
5 0
3 years ago
the value of x - y is negative an X and Y are both positive what can conclude about the values of X and Y?
tiny-mole [99]

You can conclude that X is smaller than Y. For example:
(2,5)
2 + 5 = 7
2 - 5 = -3

Hope this helped!

3 0
3 years ago
3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo
salantis [7]

Answer:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

We assume for this case a confidence level of 95%. In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And if we replace the values obtained we got this:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

6 0
3 years ago
Use the quadratic formula to solve the equation if necessary round to the nearest hundredth
densk [106]
-5y^2 + 2y + 2 = 0

y = -2 ± ✓4 - 4*-5*2. /. -10

y = -2 ± ✓44. / -10

y = -1 ± ✓11. / -5

(-1+✓11)/-5. and (-1-✓11)/-5

5 0
3 years ago
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