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zaharov [31]
3 years ago
9

Equation of the line (4,1) and (8,5)

Mathematics
2 answers:
Hatshy [7]3 years ago
5 0

Answer:

when in doubt, the answer is 0

Step-by-step explanation:

RideAnS [48]3 years ago
3 0
Hope this helps:) Follow instructions in pic

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Scores for a civil service exam are normally distributed with a mean of 75 and a standard deviation of 6.5. To be eligible for c
kvasek [131]

Answer:

The lowest score you can earn and still be eligible for employment is 85.6925

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 75, \sigma = 6.5

Top 5%.

At least the 100-5 = 95th percentile.

The 95th percentile is X when Z has a pvalue of 0.95. So X when Z = 1.645.

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 75}{6.5}

X - 75 = 1.645*6.5

X = 85.6925

The lowest score you can earn and still be eligible for employment is 85.6925

3 0
4 years ago
Read 2 more answers
A shoreline observation post is located on a cliff such that the observer is 280 feet above sea level. The observer spots a ship
morpeh [17]

Answer:

Step-by-step explanation:

a) D/280 = tan(90 - 6)

   D = 280tan84 = 2,664 ft

b) D/280 = tan(90 - 16)

   D = 280tan74 = 976 ft

ship speed = (2664 - 976) / 43 = 39.2 ft/s

4 0
3 years ago
What is the value of x using the Pythagorean theorem?
Vesnalui [34]
A^2+b^2= c^2

Plug in the points. the longest side is always c.

95.2^2+ b^2= 168^2.

Square the numbers.

9063.04+ b^2= 28224

Subtract 9063.04 on both sides.

b^2= 19160.96

Find the square root. 

b= 138.423119456

Or, b= 138.4 (rounded down)

I hope this helps!
~kaiker
8 0
3 years ago
Lionel uses two functions to model the costs of having a problem diagnosed and repaired by two appliance repair companies. He mo
ollegr [7]

The function (119x + 171) represents the amount, in dollars. Lionel will save 409 $ if he uses Quality Electric for a repair needing 2 hours of labor.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The system of equations are;

p(x) = 68x + 81.

q(x) = 51x + 90.

So,

p(x) + q(x) = 68x + 81 + 51x +  90

p(x) + q(x) = 119x + 171

The function (119x + 171) represents the amount, in dollars, Lionel will save by having Quality Electric handle an x-hour repair instead of Phil’s Appliances.

p(x) + q(x) = 119x + 171

x= 2 hours

p(x) + q(x) = 119 (2) + 171

p(x) + q(x) = 409

Lionel will save 409 $ if he uses Quality Electric for a repair needing 2 hours of labor.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

4 0
3 years ago
I need help on this please
Ludmilka [50]

circumference =2πr=2× 7 22  ×28=22×8 =176 cm

Area =πr 2 = 7   22 ×28×28=88×28 =2464 cm 2

<u><em>circumference=176 cm </em></u>

<u><em>Area= 2464 cm 2</em></u>

3 0
3 years ago
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