Isabella’s dog can run 7km in 20 minutes.

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

7 0

Answer:

So if you want an equation

(2 6/7)k=?

Step-by-step explanation:

K is the amount of minutes since the unit rate is 2 6/7 per km

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A fire department in a rural county reports that its response time to fires is approximately normally distributed with a mean of

Lilit [14]

Answer-

In 25.15% cases their response times is over 30 minutes.

Solution-

Hint- Calculating the z-score (how much standard deviations away from the mean) and then getting the corresponding probability value from normal distribution table we can get solution.

Applying the formula for Z-score,

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

Here,

X = score = 30,

μ = mean = 22,

σ = standard deviation = 11.9

Putting the values,

$\Rightarrow Z=\frac{30-22}{11.9}=0.67$

$\therefore P(x>30)=1-P(Z\leq 0.67)=1-0.7485=0.2515=25.15\%$

(Subtracted from 1 as the values of area to the left of the Z score is given in table, but we need the area right to Z score as response times more than 30 minutes is asked)

4 0

3 years ago

Given the point D(4,6), what is D' with R-90°

seraphim [82]

Answer:

D'( -6 , 4).

Step-by-step explanation:

In rotation through 90 degrees from the origin

P(x,y) - P'(-y , x)

D(4 , 6) - D'( -6 , 4).