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Natasha2012 [34]
2 years ago
8

Julie is paid £12 an hour in her job.

Mathematics
2 answers:
11111nata11111 [884]2 years ago
8 0

Answer:

15 hours

Step-by-step explanation:

All we need to do is 180 / 12 = 15

Hope this helps. If you need further clarification, don't hesitate to ask!

- profparis

worty [1.4K]2 years ago
7 0

Answer:

15 hours

Step-by-step explanation:

180/12 you devide £180 over £12

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Eight times a number increased by 4 times the number is less than 36.What is the number?​
strojnjashka [21]

Answer:

1 or 2

Step-by-step explanation:

8x + 4x < 36

the number x could either be 1 or 2

3 0
3 years ago
Sara uses 1/4 of a bottle of carpet cleaner to clean 3/5 of her carpet. How much carpet cleaner would it take Sara to clean her
Sergeu [11.5K]
4.9 i think try that .
3 0
3 years ago
Find the critical value needed to construct a 95% CI of a population mean with an unknown standard deviation and a sample size o
kaheart [24]

Answer:

t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02

Step-by-step explanation:

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".  

In order to find the critical value we need to take in count that we are finding the critical value for the population mean and without the standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. We need to calculate the degrees of freedom are given by:

df=n-1=39-1=38

We can find the critical value using the following excel codes:

"=T.INV(0.025;38)" or "T.INV(1-0.025;38)"

And the critical values would be given by:

t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02

7 0
3 years ago
A fire station is to be located along a road of length A, A &lt; q. If fires occur at points uniformly chosen on (0, A), where s
Shtirlitz [24]

Answer:

Step-by-step explanation:

Given that X is uniform in the interval (0,A)

X is continuous since it represents the distance

A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), we  should find where the station be located so as to minimize the expected distance from the fire

Distance can be taken as absolute values here as either side is the same.

E(|x-a|] is to be minimum

E(|x-a|)=E(x-a) for 0<x<a

         =E(a-x), for a<x<A

Using integral we find this value

E(|x-a|)=\int\limits^a_0 {x-a} \, dx +=\int\limits^A_a -{x-a} \, dx\\f(a)=\frac{a^2}{2} -\frac{(A-a)^2}{2}

f(a)=\frac{a^2}{2} +\frac{(A-a)^2}{2} \\f'(a) = a-(A-a)\\f"(a) =2

Using calculus we find that f" is positive so when f' =0 we get solution

f'(a) =0 gives

a=\frac{A}{2}

Hence fire station to be located at the mid point of 0 and A

8 0
4 years ago
Write 3.25 x 10⁴ as an ordinary number
fredd [130]

Answer:

  • 32,500

Step-by-step explanation:

Hope it helps! :)

3 0
3 years ago
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