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erica [24]
3 years ago
10

Why might u want to estimate by rounding each value to the nearest $1 instead of to the nearest $5

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0
You would want to round to the nearest $1 so that the total would be more accurate.
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3x - 5y = 15<br> x - 4y = 12<br> Substitution method
Scorpion4ik [409]

Answer:

x=0,y=-3

Step-by-step explanation:

3x-5y=15 - equation(1)

x-4y=12 => x=12+4y -equation (2)

Replace equation (2) in equation (1)

3(12+4y)-5y=15

36+12y-5y=15

7y=15-36

7y= -21

y = -21/7

y=-3

If y=-3,then replace in equation (1) ; 3x -5(-3)=15

3x+15=15

3x=0

x=0

4 0
3 years ago
A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o
Ronch [10]

Answer:

2.002 \leq \sigma^2 \leq 11.365

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

s^2 represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}&#10;The sample variance given was [tex]s^2=3.45

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=9-1=8

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

\chi^2_{\alpha/2}=15.507

\chi^2_{1- \alpha/2}=2.732

And replacing into the formula for the interval we got:

\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}

2.002 \leq \sigma^2 \leq 11.365

7 0
3 years ago
Carys is checking her tax bill for the last year .the tax rates were as follows: no tax on the first 11000 of earnings .earnings
faust18 [17]

Answer:

$7,440.

Step-by-step explanation:

We have been given the tax rates as follows:

$0-$11,000 = No tax.

$11,000-$43,000 = 20%.

$43,000-$150,000 = 40%.

Earnings over $150,000 = 45%.

Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%.

\text{The amount of tax paid by Carys for 11000-43000}=\frac{20}{100}\times (43,000-11,000)  

\text{The amount of tax paid by Carys for 11000-43000}=0.20\times (32,000)

\text{The amount of tax paid by Carys for 11000-43000}=6400

\text{The amount of tax paid by Carys for the amount over 43000}=\frac{40}{100}\times (45,600-43,000)

\text{The amount of tax paid by Carys for the amount over 43000}=0.40\times (2600)

\text{The amount of tax paid by Carys for the amount over 43000}=1040

\text{The total amount of tax paid by Carys}=6400+1040

\text{The total amount of tax paid by Carys}=7440

Therefore, Carys paid an amount of $7,440 in tax.

6 0
3 years ago
Read 2 more answers
A handyman is tiling a bathroom l. He needs 34 rows of 18 tiles to cover the floor. How many total tiles does he need to cover t
olchik [2.2K]

Answer:

A handyman need 34 rows of 18 tiles.

How many total tiles does he need?

lets start off by saying that each row has 18 tiles

and there are supposed to be 34 rows

so you can multiply the number of tiles in each row (18) by the number of rows (34)

34 x 18 = 612

the handyman needs a total of 612 tiles to cover the floor.

plz hit the thx button and plz mark me brainliest if this helped :)

3 0
3 years ago
Find the length of rhombus whose diogonals are length 12 cm and 16 cm​
grin007 [14]

In ΔAOD  (AD)  =(AO)

2+(OD)

2   =36+64    AD

2 =100

  AD= 100

=10cm

 Rhombus has all sides equal

AB = AD = BC = CD = 10 cm

7 0
3 years ago
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