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Juliette [100K]
3 years ago
11

Brianna recorded the high temperatures in her town each day for 8 consecutive days. Her data are shown. 78 , 65, 72 , 80, 68 , 7

7, 75 , 52 Which is not a true statement about the data ?
Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer:

D)50% of the temperatures are less than 77.5 degrees

Step-by-step explanation:

The correct amount of temperatures that are less than 77.5 degrees is 6/8, or 75%.  So D) is false.

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Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

4 0
3 years ago
ali's tyre pressure gauge shows a reading witch is 8 % lower than the actual pressure when the gauge shows 33.58
Rama09 [41]

Answer:

the actual pressure is 31.09

Complete question:

What is the actual pressure when Ali's gauge shows 33.58

Step-by-step explanation:

Given,

Ali's tyre presser gauge show a reading 8% higher than the actual pressure.

Ali's gauge shows 33.58.

Let the actual pressure be x.

According to problem,

 x\times\frac{108}{100} =33.58 { [If 8% increasing  of a no ⇒ The number becomes =                      (\frac{100+8}{100})of the number}

x= \frac{33.58\times100}{108}

x=31.09

Therefore, the actual pressure is 31.09

5 0
2 years ago
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vesna_86 [32]
D

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6 0
2 years ago
7 tens x 10 in standard form ​
rosijanka [135]

Answer:

700

Step-by-step explanation:

7 tens is 70. 70*10=700.

6 0
2 years ago
Mike has a net spendable income of $1,400. He decides to set up a budget before looking for an apartment or a car. He sets up hi
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C.) Mike is using the minimum recommended percentages for food, housing, and transportation. The costs are likely to exceed the expenses in each category.


7 0
3 years ago
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