StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

Step-by-step explanation:

The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

_____

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6 0

3 years ago

Read 2 more answers

1 point) the solution of a certain differential equation is of the form y(t)=aexp(3t)+bexp(4t), y ( t ) = a exp ⁡ ( 3 t ) + b ex

solong [7]

<span>y(t) = a exp(3t) + b exp(4t) conditions, y(0) = 3 y'(0) = 3 y(0) = a exp(3 x 0) + b exp(4 x 0) = a exp(0) + b exp(0) = (a x 1) + (b x 1) = a + b y'(0) = 0 so the linear equation is, a + b = 3</span>

4 0

3 years ago

Water use in the summer is normally distributed with a mean of 311.4 million gallons per day and a standard deviation of 40 mill

r-ruslan [8.4K]

Answer: 0.965

Step-by-step explanation:

Given : Water use in the summer is normally distributed with

$\mu=311.4\text{ million gallons per day}$

$\sigma=40 \text{ million gallons per day}$

Let X be the random variable that represents the quantity of water required on a particular day.

Z-score : $\dfrac{x-\mu}{\sigma}$

$\dfrac{350-311.4}{40}=0.965$

Now, the probability that a day requires more water than is stored in city reservoirs is given by:-

$P(x>350)=P(z>0.965)=1-P(z$

We can see that on comparing the above value to the given P(X > 350)= 1 - P(Z < b) , we get the value of b is 0.965.

4 0

3 years ago

Jeri is a hairdresser. The table below shows the relationship between the number of clients she has per month, x, and her monthl

LenaWriter [7]

The given data is

x f(x)
---- --------
12 0
20 800
30 1800

where
x = number of clients per month
f(x) = monthly revenue

A graph of the data is shown below.
Let the equation of the line be
y = mx + c

The x-intercept is 12, therefore
12m + c = 0 (1)

The line passes through (30, 1800) and (12,0). Therefore the slope is
m = 1800/(30-12) = 100 (2)

From (1), obtain
c = -12m = -12*100 = -1200

Therefore
y = 100x - 1200

Answer: D. f(x) = 100x - 1200

3 0

3 years ago