All categories

3 years ago

Round 483 to the nearest ten

2 answers:

7 0

To round to the nearest ten, we will look at the number in the ones place, and determine if it is higher, lower, or equal to 5. In this case, 3 is less than 5, so we round down. This means that 483 rounded to the nearest ten is 480. :) I hope this helps you in the future! A common phrase you can think about is:
Four or less, give it a rest. 5 and above, give it a shove.

Luden [163]3 years ago

6 0

Answer:

480

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

You might be interested in

on the first day of a trip, Ricky drove 800 miles in 20 hours. At that rate, how many miles did he drive in 1 hour?

mr Goodwill [35]

We are trying to find miles/hour, which shows that we are going to be dividing the total number of miles by the total number of hours. Thus, in this case, the miles/hour rate will be:

$\dfrac{800 \,\textrm{miles}}{20 \,\textrm{hours}} = 40 \dfrac{\textrm{miles}}{\textrm{hour}}$

He drove 40 miles in one hour.

7 0

2 years ago

Read 2 more answers

The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, al

Valentin [98]

Answer:

a) $p_v =P(t_{(9)}$

The p value is higher than the significance level given 0.01, so then we can conclude that we FAIL to reject the null hypothesis. And we can say that the true difference for Best Actresses is not significantly lower than the mean for Best Actors at 1% of significance.

b) The 99% confidence interval would be given by (-21.469;2.069)

c) We got the same conclusion as part a, sicne the confidence interval contains the value 0, we FAIL to reject the null hypothesis that the difference between the two

Step-by-step explanation:

Part a

Let put some notation

x=actor's age , y = actress's age

x: 58 41 36 36 34 33 48 37 37 43

y: 26 27 34 26 35 29 23 42 30 34

The system of hypothesis for this case are:

Null hypothesis: $\mu_y- \mu_x \geq 0$

Alternative hypothesis: $\mu_y -\mu_x$

The first step is calculate the difference $d_i=y_i-x_i$ and we obtain this:

d: -32, -14, -2, -10, 1, -4, -25, 5, -7, -9

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= -9.7$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =11.451$

The 4 step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-9.7 -0}{\frac{11.451}{\sqrt{10}}}=-2.679$

The next step is calculate the degrees of freedom given by:

$df=n-1=10-1=9$

Now we can calculate the p value, since we have a left tailed test the p value is given by:

$p_v =P(t_{(9)}$

Part b

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

$\bar d \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that $t_{\alpha/2}=3.25$

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

$-9.7-3.25\frac{11.451}{\sqrt{10}}=-21.469$

$-9.7+3.25\frac{11.451}{\sqrt{10}}=2.069$

So on this case the 99% confidence interval would be given by (-21.469;2.069)

Part c

We got the same conclusion as part a, sicne the confidence interval contains the value 0, we FAIL to reject the null hypothesis that the difference between the two means is 0.

8 0

2 years ago

How many 3/4 foot pieces of string can be cut from a piece of string 4 1/2 feet long

Gnom [1K]

3/4 foot is 9 inches, and 4 1/2 feet is 54 inches, so, 54/9 makes exactly 6 pieces of string.

8 0

2 years ago

Which statement best describes the function h(t) = 210 – 15t? h is the function name; h(t) is the input, or independent variable

vazorg [7]

<span>The function h(t) = 210 – 15t has the slope-intercept form of the equation of a straight line. The y-intercept represents the amount h at the very beginning (when t=0). The negative slope (-15) represents the amount by which h will decrease if t is increased by 1.

We are manipulating the value of time, t, so time, t, is the independent variable, and h(t) = y is the dependent variable.</span>

8 0

3 years ago

Read 2 more answers

Which of these system of linear equations has no solution

____ [38]

Answer:

Step-by-step explanation:

Those two lines are the same. If you divide the second equation by 2, you will end up with the first equation. A system of linear equations cannot have two of the same line.

5 0

3 years ago

Read 2 more answers