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3 years ago

Model the number 5.55 on the place value chart

Mathematics

1 answer:

Nady [450]3 years ago

6 0

Answer:

Here's what I get

Step-by-step explanation:

Each digit in a number has a place value, based on its distance from the decimal point.

The value of a digit is the digit multiplied by its place value.

The place value of a digit increases by a factor of 10 as we move left on the place value chart and decreases by a factor of 10 as we move right.

Numbers to the left of the decimal point increase in the order: ones, tens, hundreds, thousands, etc.

Numbers to the right of the decimal point decrease in the order: tenths, hundredths, thousandths, etc.

So, we put the digits of 5.55 on the chart according to their place value.

You might be interested in

How many acres of land are in a rectanglar parcel 234' * 878'

uysha [10]

An acre is 43,560 ft² because the customary system hates you.

Let's find out how many square feet the parcel is so we can convert it into acres.

The area of a rectangle is its base times its height.

A = bh
A = 234 ft * 878 ft
A = 205,452 ft²

Divide by 43,560.

A ≈ <span>4.7165 acres. (round as needed)</span>

7 0

3 years ago

Mr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto figure A"B"C"D"E" using a series of two different transform

Jobisdone [24]

Problem 1

One method Olivia could have used is to reflect over the x axis and then translate 10 units to the right.

Let's apply these set of steps to point C.

C = (-2,-4)

C' = (-2,4) after reflecting over the x axis; y coordinate flips in sign

C'' = (8,4) after shifting to the right 10 units; add 10 to the x coordinate

Point C(-2,-4) moves to C''(8,4) which is shown in the diagram. I'll let you check the other four points.

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Another method Olivia could have used is to shift to the right 10 units first, then reflect over the x axis. In this case, the order doesn't matter. Though for some other combinations of transformations, order does matter.

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Problem 2

Reflecting over the y axis will have the point (x,y) turn into (-x,y). Only the x coordinate changes, and we flip the sign here. The y coordinate stays the same.

A point like C(-2,-4) becomes C'(2,-4) after the y axis reflection. Shifting up 8 units means we add 8 to the y coordinate to arrive at C''(2,4) but this does not match what the diagram shows. Therefore, Angelica's method is incorrect.

You should find other inconsistencies for the other four points as well.

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Problem 3

Michael's method isn't correct either. He does not apply an x axis reflection and instead relies entirely on translations to move ABCDE to A''B''C''D''E''

At a quick glance, it looks like Michael may be correct. But upon a much closer look, you'll see that things don't line up perfectly.

Instead of point C, we'll pick on point D this time.

D is located at (-6,-2). If we shift up 8 units, then we add 8 to the y coordinate to get to D'(-6,6). Then add 10 to the x coordinate to shift 10 units to the right. This leads us to D''(4,6).

However, the diagram shows D'' is actually at (4,2)

I'll let you check the other points. You should find that only points C and E go to the correct locations, but the other points do not. Again, this is because Michael did not apply an x axis reflection. His figure of A''B''C''D''E'' is upside down compared to what it should be.

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To summarize, the methods described in problem 1 are the correct way to get ABCDE to move to A''B''C''D''E''. If Olivia followed either of those two methods, then she is correct. Both Angelica and Michael have incorrect methods.

5 0

3 years ago

Crash Hospital Costs. A study was conducts to estimate hospital costs for accident victims who wore seat belts. Twenty randomly

kvv77 [185]

Answer:

a) The 99% confidence interval would be given by (5004.168;12603.832)

b) For this case we can use the lower bound for the confidence interval as estimation, on this case 5004.168. But we need to take in count that this value it's with 99% of confidence and 1% of significance and 1% of probability to commit type Error I

Step-by-step explanation:

1) 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".

$\bar X =9004$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=5629 represent the sample standard deviation

n=20 represent the sample size

2) Part a

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=20-1=19$

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(0.005,19)".And we see that $t_{\alpha/2}=2.86$

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

$9004-2.86\frac{5629}{\sqrt{20}}=5004.168$

$9004+2.86\frac{5629}{\sqrt{20}}=12603.832$

So on this case the 99% confidence interval would be given by (5004.168;12603.832)

3) Part b

For this case we can use the lower bound for the confidence interval as estimation, on this case 5004.168. But we need to take in count that this value it's with 99% of confidence and 1% of significance and 1% of probability to commit type Error I

7 0

3 years ago

What is the formed of the fact family for 6,7,13 what is the answer

Keith_Richards [23]

Answer:

7 + 6 = 13

13 = 7 + 6

13 – 6 = 7

7 = 13 – 6

Step-by-step explanation:

7 + 13 = 20

13 + 7 = 20

13 – 13 = 0

13 – 0 = 13

7 + 0 = 7

6 + 0 = 6

13 – 0 = 13

13 – 13 = 0

7 + 0 = 7

6 + 0 = 6

13 – 0 = 13

13 – 13 = 0

7 + 6 = 13

13 = 7 + 6

13 – 6 = 7

7 = 13 – 6

5 0

2 years ago

El valor numérico de la expresión 〖P(y)=y〗^2-7y+10 para y=2 es: a. P(2)=9 b. P(2)=0 c. P(2)=-2 d. P(2)=-5

nika2105 [10]

Answer:

Opción b, P(2) = 0

Step-by-step explanation:

Tenemos la expresión:

P(y) = y^2 - 7*y + 10

Para encontrar el valor P(2), simplemente debemos remplazar todas las "y" en la expresión de arriba por el valor 2, asi obtenemos:

P(2) = 2^2 - 7*2 + 10 = 4 - 14 + 10 = (4 - 14) + 10 = -10 + 10 = 0

P(2) = 0

La opción correcta es b.

8 0

3 years ago