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3 years ago

Jacinta, an internet website designer, works a 38 hour week and earns $3115.35 every fortnight. Calculate her earnings:

Mathematics

2 answers:

sveticcg [70]3 years ago

6 0

Step-by-step explanation:

total working duration = 2 weeks

Working duration in hours = 38× 2= 76 hours

a) per year

24*3115.35 = $74768

b) 3115.35/2

$1557.675

3115.35/76

$40.99

Lubov Fominskaja [6]3 years ago

4 0

Answer:

a) $80999.10
b) $1557.68
c) $40.99

Step-by-step explanation:

Given

Jacinta earns $3115.35 every 2 weeks, working 38 hours a week

Earnings calculated as:

a) per year

Number of weeks in a year = 52

$3115.35*52/2 = $80999.10

b) per week

1/2*$3115.35 = $1557.68

c) per hour

$3115.35/(38*2) = $40.99

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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us

amm1812

Answer:

Given:

Sham: n= 20, x=0.44, s=1.24,

Magnet:n= 20, x =0.49, s= 0.95

For Sham:

Sample size, n = 20

Sample mean = 0.44

Standard deviation = 1.24

For Magnet:

Sample size = 20

Sample mean = 0.49

Standard deviation = 0.95

The null and alternative hypotheses:

H0: s1²=s2²

H1: s1² ≠ s2²

a) To find the test statistics, use the formula:

$\frac{s1^2}{s2^2}$

$\frac{1.24^2}{0.95^2} = \frac{1.5376}{0.9025} = 1.7037$

Test statistics = 1.7037

b) P-value:

Sham: degrees of freedom $= n - 1 = 20 - 1 = 19$

Magnet: degrees of freedom $= n - 1 = 20 - 1 = 19$

The critical values:

[Za/2, df1, df2)], [(1 - Za/2), df1, df2]

$f[0.05/2, 19, 19], f[(1 - 0.05/2), 19, 19]$

$f[0.025, 19, 19], f[0.975, 19, 19]$

$(2.526, 0.3958)$

The rejection region:

Reject H0, if F < 0.3958 or if F > 2.526

c) Conclusion:

Since the critical values of test statistic is between (0.3958 < 1.7037 < 2.526), we fail to reject null hypothesis H0.

There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets

3 0

2 years ago

How do I evaluate this? there’s a picture.

PilotLPTM [1.2K]

Answer:

it is 3/3

Step-by-step explanation:

2 tan is 2/3 +cos is 1/4 +2/4

7 0

2 years ago

S=L (1 - r), for r

maria [59]

OK. Then let's solve for ' r '. That means you have to come up with an equation that says r = everything else.

Step #1:
Write the equation you're given: S = L (1 - r)

Let's divide each side by ' L ': S/L = 1 - r

Subtract 1 from each side : S/L - 1 = -r

Multiply each side by -1 :  1 - S/L = r

and there you have it.

3 0

2 years ago

If h(a)= 3a+5 and h (a) = 27 the what is the value of a?

anzhelika [568]

Hey there!

Okay, so when you get a problem like this, all you need to do in insert the given value into the function and solve.

For example:

As you can see, they state that (a) = 27, so you insert 27 in for a in the function and it will look like this:

h(27) = 3(27) + 5

Now you solve on the right side of the equal sign:

3(27) = 81 (you multiply them)

81 + 5 = 86