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Dmitry [639]
2 years ago
12

Find the original price given the total amount and tip rate. Total price 307.32 tip rate 20%

Mathematics
1 answer:
eduard2 years ago
5 0

Answer:

the answer is 61.3

Step-by-step explanation:

you have to dived one number by the other

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Find the lengths of the legs.<br> 45°<br> 10
masya89 [10]

Answer:

i agree with Isabelle

Step-by-step explanation:

above

6 0
3 years ago
What is the rule in this sequence (0,21) (1,18) (2,15) (3,12) (4,9) (5,6) (6,3) (7,0) (8,-3) (9,-6) (10,-9)
anastassius [24]

Answer:

x + 1 & y - 3

Step-by-step explanation:

Because... the x-values are going up by 1 digit each and the y-values are going down by 3 digits each.

6 0
3 years ago
john is placing cement tiles for a patio in a rectangle surrounding a rectangular fire pit. The fire pit has a width of x ft and
Finger [1]

Answer:

49x + 114

Step-by-step explanation:

[   [ fireplace ] x   = area of 5x^{2}                   ]  x + 6

     5x

   patio               = area of 5x^{2} + 49x + 114

5x + 19

 

(5x + 19) ( x + 6) = 5x^{2} + 19x + 30x + 114

(5x^{2} + 49x + 114)                     -   (5x^{2} )                         =           49x + 114

(area of patio and fireplace) - (area of fireplace)     =       (area of patio only)

4 0
3 years ago
Which number produces
Dvinal [7]

Answer:

A is the answer.

Step-by-step explanation:

A fraction plus a fraction is equal to a fraction. An irrational number cannot be expressed as a fraction.

0.3333333 even though it looks like an irrational number it is actually: 1/3

3/5 is already a fraction so adding it with another fraction will NOT equal an irrational number (decimal)

-0.75 is equal to -3/4 (75/100 => 3/4). Same thing that applies above.

However, Pi cannot be expressed as a fraction exactly. You can round up like 3.14. However it is not the full number. So 3.141592654....+(3/4) is not going to add up perfectly into a fraction.

In short, a fraction is a rational number. Rational + Rational = Rational. Irrational + Rational = Irrational.

3 0
3 years ago
Read 2 more answers
Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and
WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

n random sample taken (variable of interest)

\hat p=0.65 estimated proportion.

p true population

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{\hat p(1-\hat p)}{n}})

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 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.64

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 on this case we have that ME =\pm 0.06 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968  

And rounded up we have that n=170

6 0
4 years ago
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