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VladimirAG [237]
3 years ago
14

Lisa and Jen left home at the same time, only Lisa biked to school at a speed of 10 mph while Jen just walked at a speed of 4 mp

h. How much time did it take Lisa to get to school if she reached school when Jen still was 1 mile away from it?

Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0

Answer:

\dfrac{1}{6} hour or 10 minutes

Step-by-step explanation:

Lisa:

Rate = 10 mph

Time = t hours

Distance = x miles

x=10\cdot t

Jen:

Rate = 4 mph

Time = t hours

Distance = x - 1 miles

x-1=4\cdot t

Hence,

10t-1=4t\\ \\10t-4t=1\\ \\6t=1\\ \\t=\dfrac{1}{6}\ hour

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8_murik_8 [283]

Answer:

The z-score for an income of $2,100 is 1.

Step-by-step explanation:

If X \sim N (µ, σ²), then  Z=\frac{x-\mu}{\sigma}, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \sim N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

Given:

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Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:

Z=\frac{x-\mu}{\sigma}=\frac{2100-2000}{100}=\frac{100}{100}=1

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3 years ago
Evaluate 2b^2 − 4a + 4a^2 for a = 3 and b = −8.
kipiarov [429]

(2*(-8)^2)-(4*3)+(4*3^2)

128-12+36

152

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72 + 24 (distributive property)
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−3x + y = 4,<br><br> −9x + 5y = −1<br> find x and y
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Answer:

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(-7/2, -13/2)

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