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3 years ago

YALL REMEMBER PRODIGY AND ROOTBEER FLOATS OMGGGGG

Mathematics

1 answer:

lys-0071 [83]3 years ago

5 0

Answer:

omg the last time i played that was in 3rd grade!!!!

Step-by-step explanation:

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Find two numbers if their sum is 6.1 and their difference is 1.6

Nimfa-mama [501]

A+b=6.1 ---(1)
a-b=1.6 ---(2)

(1)+(2); 2a=7.7
then a=3.85
so b=a-1.6 = 3.85-1.6 = 2.25

so that the two numbers are 2.25 and 3.85

5 0

3 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

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".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

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

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

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

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

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

4 years ago

So i'm really confused how do you get 3 5/12 in this question? Manson bought 8 1/4 feet of wire. He cut off a piece of wire 3 5/

GaryK [48]

Answer:

r = π C , C = 12 − x , t h e n r = π ( 12 − x ) = 12 π − π x

Step-by-step explanation:

So cutting the wire of 12 m in length into two pieces, x and 12-x. The x side will be made into the square so that the square has sides x/4 and an area of (x/4)^2. This means the length of the wire 12-x will be the circumference of the circle. So if: r = π C , C = 12 − x , t h e n r = π ( 12 − x ) = 12 π − π x i hope this is correct

7 0

3 years ago

On this map, Oxford Street is perpendicular to_______ , and Rosewood Street is perpendicular to ________. Assume that the street

melamori03 [73]

Hi there!

We are looking for perpendicular angles, which means the angle between the streets is 90 degrees. So, each time we need to find the street that intersects the given street with a 90 degree angle.

On this map, Oxford Street is perpendicular to Waterloo St., and Rosewood Street is perpendicular to Oak St..

The answers are (in correct order): Waterloo St. and Oak St..
~ Hope this helps you!

6 0

3 years ago

The elevator in the Empire State Building can pass 80 floors in 45 seconds. How many floors can it pass in 9 seconds?

castortr0y [4]

$\bf \begin{array}{ccll}
floors&seconds\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
80&45\\
f&9
\end{array}\implies \cfrac{80}{f}=\cfrac{45}{9}\implies \cfrac{80\cdot 9}{45}=f$

7 0

3 years ago