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Xelga [282]
3 years ago
15

The dot plot shows the number of miles Jamal biked per week for ten weeks. Which measure of central tendency best represents the

average number of miles that Jamal bikes per week?
Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Answer:The answer is Mean or Median

Step-by-step explanation:

Mean represents the average of a set of values which is gotten by adding the miles then diving by the total number .

Mean generally gives you the average ,so it is the best means to get the number of miles and it is also the most frequently used

Median is the mid number (s) in a data set .

Median is useful in this data because there are some missing values in the data .

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Artist 52 [7]

You are right about the domain.

3 0
3 years ago
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
poizon [28]

Answer: y=-3x+29

Step-by-step explanation:

First put in y-intercept form to find the slope

4x-12y=2\\-12y=-4x+2\\y=\frac{1}{3} x-\frac{1}{6}

Slope of the 1st equation is 1/3-  the slope of the line perpendicular is the opposite reciprocal, so in the case it is -3

Use the point and the new slope to write the new equation in point slope format

y-y_{1} =m(x-x_{1} )\\y-(-1)=-3(x-10)\\y+1=-3x+30\\y=-3x+29

8 0
3 years ago
A survey of 100 people asked if they have a dog or a cat. The answers were: 56 people answered yes for dog and 51 people answere
den301095 [7]

Answer:  The maximum number of people who could answer yes for both cat and dog is 7.

Step-by-step explanation:  Given that a survey of 100 people asked if they have a dog or a cat.

Out of those 100 people, 56 people answered yes for dog and 51 people answered yes for cat. Some people may own neither and some people may own both animals.

We are to find the maximum number of people that could answer yes for both cat and dog.

Let A and B represents the set of people that answered Yes for dog and Yes for cat respectively.

Then, according to the given information, we have

n(A)=56,~~n(B)=51.

From Set Theory, we have

n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\\Rightarrow n(A\cup B)=56+51-n(A\cap B)\\\\\Rightarrow n(A\cup B)=107-n(A\cap B)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Since the total number of people is 100, so we get

n(A\cup B)\geq 100.

Therefore, from equation (i), we get

107-n(A\cap B)\geq 100\\\\\Rightarrow n(A\cap B)\leq 107-100\\\\\Rightarrow n(A\cap B)\leq 7.

Thus, the maximum number of people who could answer yes for both cat and dog is 7.

4 0
3 years ago
Read 2 more answers
Choose the equation that cannot be used to find the
Sphinxa [80]

Answer:m<b=m<d+125 degrees

Step-by-step explanation:

3 0
3 years ago
P(x) is a polynomial with integer coefficients and p(3) = 0.
Mamont248 [21]

Answer:

The answer is below

Step-by-step explanation:

P(x) is a polynomial with integer coefficients and p(-3) = 0.

Which statements must be true? Choose all that apply.

x + 3 is a factor of the polynomial.

x - 3 is a factor of the polynomial.

-3 is the constant term of the polynomial.

p(x) can have at most 3 linear factors.

Solution:

Polynomial is an expression composed of variables, constants and exponents linked together by mathematical operations (addition, subtraction, multiplication and division)

Given that:

p(-3) = 0.

Since P(-3) = 0, this means that -3 is a factor of the polynomial. Hence:

The factor theorem states that states that if f(a) = 0, therefore a is a factor of the polynomial and hence (x - a) is a factor of polynomial f(x).

Therefore using the factor theorem, we get that x + 3 is a factor of the polynomial.

4 0
2 years ago
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