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3 years ago

Which number represents the mode of the data?

Mathematics

2 answers:

Kisachek [45]3 years ago

6 0

Hello!

The mode is the number that appears the most in a data set. As you can see, 200 appears the most, so our mode is 200.

I hope this helps!

satela [25.4K]3 years ago

4 0

Answer: 200

Step-by-step explanation:

In the given picture we have a dot-plot representing the number of people.

We know that the mode of a data is the value which has the largest frequency.

From the given sot plot, the number 200 has the largest number of dots as 6.

Therefore , the number with largest frequency = 200

Therefore, the mode of the given data : 200

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Rename 5/6 and 14/15 using the least common denominator.

baherus [9]

Answer:

$\frac{25}{30}~and~\frac{28}{30}$

Multiply 5 by 5 to get your first parameter.

$5 * 5 = 25$

Multiply 6 by 5 to get the denominator, or your second parameter.

$5 * 6 = 30$

For the second fraction, $\frac{14}{15}$ , you need to multiply both parameters by 2, similar to before, but we now must use a different number, otherwise, the denominators will not be the same.

$14 * 2 = 28$

Now, multiply 15 by 2

$15 * 2 = 30$

The last step is to put these numbers you gathered into fractions. The bigger number always goes on the bottom, referred to as the denominator, while the smaller number, referred to as the numerator, always goes on the top.

$25~and~30 -- > \frac{25}{30}$

$28~and~30-- > \frac{28}{30}$

________________________________________________________

Finally, the problem is solved. Now that the problem is solved, we review what we just learned not through more problems, though.

________________________________________________________

<h3>What have we learned?</h3>

We learned how to efficiently make fractions' deominators match.

Questions related to this topic? Ask me in the comments box, please!

8 0

2 years ago

Calculate the axis of symmetry in the equation Y = (x+1) (x-4)

algol [13]

Answer:

Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points

x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation

y=(x+1)(x-4)

=x^2-3x-4

a is 1,b is -3 and c is -4

x= -(-3)/2(1)

=1.5

and y=x^2-3x-4

=1.5^2-3(1.5)-4

= -6.25

therefore the axis of symmetry is (1.5,-6.25)

I hope this helps

6 0

2 years ago

Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court

Ksju [112]

Answer:

$(a)\dfrac{92}{117}$

$(b)\dfrac{8}{39}$

$(c)\dfrac{25}{117}$

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are without replacement.

(a)Probability that both appointees are men.

$P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}$

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed) $=P(MW)+P(WM)$

$=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}$

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.
Two women are appointed

P(at least one woman is appointed) $=P(MW)+P(WM)+P(WW)$

$P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}$

In Part B, $P(MW)+P(WM)=\frac{8}{39}$

Therefore:

$P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}$

5 0

3 years ago

What are the Slope and the Equation of the Image?

Rama09 [41]

change in y/change in x

y2-y1/x2-x1

-1--5/0-2

-1+5/-2

4/-2

-2

slope is -2

now take one ordered pair and plug it into the equation (for this example i will use the SECOND ordered pair

y = -2x +b

-1 = -2(0)+b

-1 = b

the equation is

5 0

2 years ago

The sum of 2 numbers is 20 and their product is 90. What are the two numbers? (Note: Write the smaller number first.)

DIA [1.3K]

The two numbers are 8 and 12.

When added, you get a sum of 20.

When multiplied, you get a product of 96.

4 0

2 years ago