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3 years ago

22 1/2% as a fraction

Mathematics

2 answers:

saveliy_v [14]3 years ago

7 0

22 1/2 if this helps

hodyreva [135]3 years ago

3 0

45/2 Because you do this to get the answer (22+1/2) =22.5 then you go to fraction and it gives you 45/2

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Alexa is $33,000 in her first year of teaching and earns a 4% increase in each successive year. Write a geometric series formula

sergeinik [125]

Answer:

Step-by-step explanation:

Alexa earns $33,000 in her first year of teaching and earns a 4% increase in each successive year. This means that for each year, her income is 104% of the previous year. So the rate of increase is 104/100 = 1.04. This rate is in geometric progression. The formula for the sum of n terms of a geometric sequence is expressed as

Sn = a(r^n - 1)/r-1

Where

Sn is the nth term

a is the first term

n is the number of terms.

r is the rate or common ratio

From the information given,

a = 33000

r = 1.04

The formula for Alexis total earning over n years will be

Sn = 33000(1.04^n - 1)/(1.04 - 1)

Her earnings for the next 15 years would be

S15 = 33000(1.04^15 - 1)/(1.04 - 1)

S15 = 33000(0.8009) / 0.04

S15 = $668167.50

5 0

4 years ago

Solve for x.<br> 9 km<br> 12 km<br> X

Mandarinka [93]

Answer:

15km

Step-by-step explanation:

$\rm \mapsto \: {9}^{2} + {12}^{2} = {x}^{2} \\ \rm \mapsto \: {x}^{2} = 81 + 144 \\ \rm \mapsto \: {x }^{2} = 225 \\ \rm \mapsto \: x = \sqrt{225} \\ \rm \mapsto \: x = 15$

7 0

3 years ago

PLEASE HELP!!!!! OVER DUE!! 100 POINTS!

serious [3.7K]

Answer:

2u-1/3v = (4, -2)

Step-by-step explanation:

Given vector u and v,

v = (-6, -6)

u = (1, -2)

2*u = (2*1, -2*2) = (2, -4)

1/3*v = (1/3*-6, 1/3*-6) = (-2, -2)

So, 2u = (2, -4) and 1/3*v = (-2, -2)

We have 2u-1/3v = (2, -4) - (-2, -2) = (4, -2)

Therefore, 2u-1/3v = (4, -2)

3 0

2 years ago

Suppose you want to eat lunch at a popular restaurant. The restaurant does not take reservations, so there is usually a waiting

grin007 [14]

Answer:

a) $z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{15-19}{4} =-1$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-1)=1-P(z$

And replacing we got:

$P(X >20| X>15)= \frac{0.401}{0.841}= 0.477$

b) $z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{18-19}{4} =-0.25$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-0.25)=1-P(z$

And replacing we got:

$P(X >20| X>18)= \frac{0.401}{0.599}= 0.669$

Step-by-step explanation:

Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the length of time waiting to be seated of a population, and for this case we know the distribution for X is given by:

$X \sim N(19,4.0)$