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bekas [8.4K]
3 years ago
13

Alexa ran 2/3 of a mile. Caleb ran 5/8 of a mile. Who ran farther?

Mathematics
1 answer:
guapka [62]3 years ago
4 0
Switching to common denominators, alexa ran 18/24 of a mile. caleb ran 15/24 of a mile. for alexa’s distance, you would do (2•8)+(3•8). for caleb’s distance you would do (5•3)+(8•3). hope this helped!
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Answer:

x = 0

Step-by-step explanation:

→ Expand out the brackets

6 - 18x + 4x - 6  = 0

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7 0
2 years ago
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Round to the nearest thousandth:9.4048
vesna_86 [32]

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Step-by-step explanation:

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2 years ago
Independent random samples of vehicles traveling past a given point on an interstate highway have been observed on monday versus
quester [9]
Hi! 

To compare this two sets of data, you need to use a t-student test:

You have the following data:

-Monday n1=16; <span>x̄1=59,4 mph; s1=3,7 mph

-Wednesday n2=20;  </span>x̄2=56,3 mph; s2=4,4 mph

You need to calculate the statistical t, and compare it with the value from tables. If the value you obtained is bigger than the tabulated one, there is a statistically significant difference between the two samples.

t= \frac{X1-X2}{ \sqrt{ \frac{(n1-1)* s1^{2}+(n2-1)* s2^{2} }{n1+n2-2}} * \sqrt{ \frac{1}{n1}+ \frac{1}{n2}} } =2,2510

To calculate the degrees of freedom you need to use the following equation:

df= \frac{ (\frac{ s1^{2}}{n1} + \frac{ s2^{2}}{n2})^{2}}{ \frac{(s1^{2}/n1)^{2}}{n1-1}+ \frac{(s2^{2}/n2)^{2}}{n2-1}}=33,89≈34

The tabulated value at 0,05 level (using two-tails, as the distribution is normal) is 2,03. https://www.danielsoper.com/statcalc/calculator.aspx?id=10

So, as the calculated value is higher than the critical tabulated one, we can conclude that the average speed for all vehicles was higher on Monday than on Wednesday.



5 0
3 years ago
A rectangle has perimeter, P, length, land width, w. Which of the following represents lin
almond37 [142]

Answer:

l=\frac{P}{2}-w.

Step-by-step explanation:

The perimeter of a rectangle is the sum of it's side lengths.

A rectangle has 4 sides where it's opposite sides are congruent.

So if one side has measurement w, then there is another side that has measurement w.

If there is one side that has measurement l, then there is another side that has measurement l.

So if you add w+w+l+l you get 2w+2l.

They are giving us that the perimeter is P, so P=2w+2l.

we are being asking to solve for l.

P=2w+2l

First step: Isolate term that contains the l, so get 2l by itself first.

We are going to subtract 2w on both sides giving us:

P-2w=2l

2l=P-2w

Now that we have 2l by itself it is time to perform the last step in getting l by itself.

Second step: Divide both sides by 2.

This gives us:

l=(P-2w)/2

You may separate the fraction like so:

l=\frac{P-2w}{2}=\frac{P}{2}-\frac{2w}{2}=\frac{P}{2}-w.

I don't know your options but I have solve for l in terms of P and w

and got l=\frac{P}{2}-w.

Please let me know if you have further questions with this problem.

4 0
3 years ago
At a factory three workers produced 87, 93 and 102 units respectively in one day what is the average production in units of thes
slega [8]

Answer:

94

Step-by-step explanation:

Add units together. 87+93+102=282.

Divide total number by number of days. 282/3=94

6 0
2 years ago
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