Find the distance d(A,B) between points A and B.

Mathematics

1 answer:

Misha Larkins [42]2 years ago

7 0

Answer:

A(4,-5) ; B(4,3)

distance d(A,B) = $\sqrt{( 4 - 4)^{2} + (3 -(-5))^{2} }$ = 8

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IQ test scores are standardized to produce a normal distribution with a mean of = 100 and a standard deviation of = 15. Find the

mixas84 [53]

Answer:

0.01

Step-by-step explanation:

Using the z score formula

z = (x-μ)/σ,

where x is the raw score = 135

μ is the population mean = 100

σ is the population standard deviation = 15

z = 135 - 100/15

z = 2.33333

P-value from Z-Table:

P(x<135) = 0.99018

P(x>135) = 1 - P(x<135)

P(x > 135) = 1 - 0.99018

= 0.0098153

Approximately to 2 decimal places

= 0.01

Therefore, the proportion of the population for the following IQ score of 135 is 0.01

4 0

3 years ago

A rental car agency charges $ 220.00 per week plus $ 0.15 per mile to rent a car. How many miles can you travel in one week for

bazaltina [42]

Answer:

$x=900$

Step-by-step explanation:

Read the problem carefully and figure out where it says plus and where it says per. Per implies multiplication. Plus is addition.

220+0.15x

To solve, plug in 355 for the answer and back solve for x.

$355=220+0.15x\\\mathrm{Switch\:sides}\\220+0.15x=355\\\mathrm{Multiply\:both\:sides\:by\:}100\\220\cdot \:100+0.15x\cdot \:100=355\cdot \:100\\22000+15x=35500\\\mathrm{Subtract\:}22000\mathrm{\:from\:both\:sides}\\22000+15x-22000=35500-22000\\15x=13500\\\mathrm{Divide\:both\:sides\:by\:}15\\\frac{15x}{15}=\frac{13500}{15}\\x=900\\$