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s344n2d4d5 [400]
3 years ago
9

class="latex-formula">
Please tell me the solution with explanation and working ​
Mathematics
1 answer:
Maslowich3 years ago
5 0

Answer:

0.318

Step-by-step explanation:

on division with 10, the value reduces.... decimal moves forward

on multiplication, the value increases decimal moves backward....

eg: 3.18 x 10 = 31.8

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Z=(x+y)ex,x=3t,y=2−t2, find dz/dt using the chain rule. assume the variables are restricted to domains on which the functions ar
luda_lava [24]
z=(x+y)e^x
\begin{cases}x=3t\\y=2-t^2\end{cases}

\dfrac{\mathrm dz}{\mathrm dt}=\dfrac{\partial z}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial z}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}
\dfrac{\mathrm dz}{\mathrm dt}=(e^x+(x+y)e^x)(3)+e^x(-2t)
\dfrac{\mathrm dz}{\mathrm dt}=3(1+x+y)e^x-2te^x
\dfrac{\mathrm dz}{\mathrm dt}=3(1+3t+2-t^2)e^{3t}-2te^{3t}
\dfrac{\mathrm dz}{\mathrm dt}=3(3+t-t^2)e^{3t}
7 0
4 years ago
Suppose that IQ scores have a bell-shaped distribution with a mean of 97 and a standard deviation of 17. Using the empirical rul
a_sh-v [17]

Answer:

99.7% of IQ scores are between 46 and 148.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 97, standard deviation of 17.

What percentage of IQ scores are between 46 and 148?

97 - 3*17 = 46

97 + 3*17 = 148

Within 3 standard deviations of the mean, so:

99.7% of IQ scores are between 46 and 148.

5 0
4 years ago
Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b
garri49 [273]

Answer:

b = - 21

Step-by-step explanation:

calculate m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (- 6, 3)

m = \frac{3+5}{-6+4} = \frac{8}{-2} = - 4

y = - 4x + b ← is the partial equation

to find b substitute either of the 2 given points into the partial equation

using (- 4, - 5 ), then

- 5 = 16 + b ⇒ b = - 5 - 16 = - 21


5 0
3 years ago
Read 2 more answers
Jane wants to add chocolate chips to her trail mix. A 3-pound bag of chocolate chips costs $3.22. What is the unit price?
Thepotemich [5.8K]

ans: A

its $1.07 per pound

3 0
3 years ago
If a car owner owns 37 cats hes neighbor has 2 twice as much,How much?
mafiozo [28]
37*2=74 is the answer would be 74
3 0
4 years ago
Read 2 more answers
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