10.1022 rounded to the nearest hundredth

Compare these fractions by filling in the blank with the appropriate sign. 35 _____ 56

BartSMP [9]

Answer:

35 < 56.

56 is greater than 35.

I hope this helped at all.

5 0

3 years ago

I can't even read the two way table please help

Ne4ueva [31]

It's C. Number of students who scored "proficient" on chapter 7 is 16, and of those, only 3 scored "needs improvement" on 6. So the 3/16 represents those who were proficient at 7, but need improvement on 6

3 0

4 years ago

(t-distribution) A manufacturing firm claims that the batteries used in laptop computers will last an average of 50 months. To m

statuscvo [17]

Answer:

There is an 38.21% probability that we find this lifespan for our sample average, or something even shorter.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

A manufacturing firm claims that the batteries used in laptop computers will last an average of 50 months. This means that $\mu = 50$ .

We found that the sample had a average lifespan of 47.3 months, and a standard deviation of s = 9 months. What is the probability that we find this lifespan for our sample average, or something even shorter?

We have to find the pvalue of Z when $X = 47.3$ .

We are working with a sample mean, so we use the standard deviation of the sample in the place of $\sigma$ . That is $s = 9$

So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{47.3-50}{9}$

$Z = -0.3$

$Z = -0.3$ has a pvalue of 0.3821.

There is an 38.21% probability that we find this lifespan for our sample average, or something even shorter.

7 0

3 years ago

The length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 36 m , find its area.

ycow [4]

Answer: The area of the rectangle is: " 77 m² " .

__________________________________________________________
Note: The formula for the area, "A" of a rectangle:

→ A = L * w ;

in which:
A = "area (of rectangle)" ; [in units of "m² " ; that is: "square meters" ] ;

L = length = "(4 + w)" {in units of "meters (m)" } ;

w = width {in units of "meters (m)" } ;
_______________________________________________________

So; " A = L * w " ;

Substitute the known expression for the "length, L" ; & rewrite the formula for the given area of OUR area for the rectangle in OUR GIVEN PROBLEM:

 → A = (4 + w) * w '' ;
______________________________________________________

Note the formula for the perimeter, "P" ;

→ P = 2L + 2w ;

↔ 2L + 2w = P

→ 2L + 2w = 36 m ;
_____________________________________________________
We want to find the "area" , "A" :
_____________________________________________________
Using the formula for the "perimeter, "P" (of the rectangle) ; & given that the perimeter is: "36" (meters) ;

→ 2L + 2w = 36 ;

→ Let us plug in the values for "Length (L)" & "width (w)" ;

→ 2(w + 4) + 2w = 36 ;

So; (2*w) + (2*4) + 2w = 36 ; Solve for "w" ;

→ 2w + 8 + 2w = 36 ;

 → Combine the "like terms" :

+ 2w + 2w = 4w ;

→ And rewrite:

4w + 8 = 36 ;

Now, subtract "8" from EACH SIDE of the equation:

4w + 8 − 8 = 36 − 8 ;

to get:

4w = 28 ;

Now, divide EACH SIDE of the equation by "4" ;
to isolate "w" on EACH SIDE of the equation ; & to solve for "w" ;

4w / 4 = 28 / 4 ;

→ w = 7 ; → The "width" of the rectangle is: " 7 m " .

Now, we can find the "length" of the rectangle:

The length, "L" , of the rectangle = 4 + w = 4 + 7 = 11 .

→ L = 11 . → The "length" of the rectangle is: " 11 m " .
___________________________________________________

Now, we can find the area, "A", of the rectangle.

A = L * w = 11 m * 7 m = " 77 m² " .

→ The area of the rectangle is: " 77 m² " .
__________________________________________________

To check our answer:
__________________________________________________

→ " P = 2L + 2w " ;

Given that "P = 36 m" ;

Plug in "36 m" (for "P") ; into the equation ;

and plug in our calculated values for
 "length, L" (which is "11 m") ; & "width, w" (which is "7 m") ;

to see if the equation holds true ; that is, to see if both sides of the equation are equal ;
_______________________________________________________

→ 36 m = ? 2L + 2w ?? ;

→ 36 m = ? 2(11 m) + 2(7 m) ?? ;

→ 36 m = ? 22 m + 14 m ?? ;

→ 36 m = ? 36 m ? Yes!
__________________________________________________

3 0

3 years ago

Solve using elimination x+2y=4 -x-y=2

insens350 [35]

Answer:

x=-8 y=6

Step-by-step explanation:

Add the two equations together. This cancels the x and gets us y=6

Then substitute y in more the first equation which gets us -8

8 0

3 years ago

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10.1022 rounded to the nearest hundredth​

10.1022 rounded to the nearest hundredth