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katrin2010 [14]
3 years ago
13

14, 8, 17, 21, x, 11, 3, 13; range: 20​

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:

x = 1

Step-by-step explanation:

When you subtract the smallest number from the biggest number, the answer is called the range. Here the largest number is 21. The smallest is 3. Then the range should be 18. But since it's 20. This mean that x is 1. Because 21 - 1 will equal 20, making 20 the range. So the correct answer is 1.

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You drive 8 miles from your house to your friend's house. Your house is at an elevation of 240 feet. Your friend's house is at a
dedylja [7]
(680 - 240) / 8 = 440/8 = 55 ft per mile
7 0
3 years ago
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
The ratio of children to teachers at preschool is 14:5. How many children are at the preschool if there are 30 teachers
elena55 [62]

If the ratio is 14 childen to every 5 teachers, and there are thirty teachers... there are 84 children. hope I could help!

6 0
3 years ago
Read 2 more answers
Which of the following values cannot represent the side length of a triangle?
MissTica
The answer would be <span>6.5.12

A triangle couldn't be made if the total sum of the two shortest side is less than the longest side. In this case, the two shortest side would be 5 and 6. The longest side would be 12.
If you try to add the two lowest side, the result would be 5+6=11. That means even if you make the triangle with 179.99 degrees that the 5 and 6 look like a straight line, the longest side it can achieve is 11.</span>
7 0
3 years ago
Read 2 more answers
What is the probability that a resident reports high satisfaction, given that the resident is a renter?
dem82 [27]

Answer:

The probability that a resident reports high satisfaction while the resident is a renter is Option(a) 13.7\%

Step-by-step explanation:

Given:

                               Levels of satisfaction

                      High      Medium     Low       Total

Owners          26             34               18           78

Renters           15            12                5            22

Total               41             46               23          110

The Resident is a renter.

Step 1:

To find the probability that a resident reports high satisfaction.

P(Renter- higher satisfaction)= Higher Satisfaction by render ÷ Total level of satisfaction

=\frac{15}{110}

=0.137

13.7\% is the probability that a resident reports high satisfaction.

Therefore, Option (a) is a correct answer.

Learn more about Probability, refer:

  • brainly.com/question/13604758
  • brainly.com/question/10734660
7 0
2 years ago
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