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2 years ago

A cyclist travels3 km in 10 minutes.find his speed in km

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

7 0

10minutes= 10/60 hours
= 1/6 hrs
speed = distance/ time
=3/ (1/6)
= 18 km/h

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Given Ohm's Law, V=IR<br> which of the following operations will solve for I<br> I?

poizon [28]

Answer:

Divide both sides by "R".

V = IR

V/R = I

Step-by-step explanation:

5 0

2 years ago

A table titled Number of Dogs Adopted has entries 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9. The total is 13

saw5 [17]

Answer:

1) Mean = 6.28

2) Median = 7

3) Mode = 8

4) Range = 6

Step-by-step explanation:

We need to find Mean, Median, Mode and Range of data given in tables.

1) Mean

The formula used to calculate mean is: $Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}$

The data given is: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Sum of all data points = 132

Number of data points = 21

Finding mean:

$Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{132}{21}\\Mean=6.28$

So, Mean = 6.28

2) Median

The formula used to calculate median is: $Median=\frac{n+1}{2}\:th\: term$ because we have n = odd

Number of data points n = 21

Putting values and finding the position of median term

$Median=\frac{n+1}{2}\:th\: term\\Median=\frac{21+1}{2}\:th\: term\\Median=\frac{22}{2}\:th\: term\\Median=11\:th\:term$

So, in the given data : 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The 11 th term is 7

So, Median = 7

3) Mode

The mode is the most repetitive value of data set.

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The most repetitive value is 8

So, Mode = 8

4) Range

The range can be calculated using formula: $Range=Maximum\:Value-Minimum\:Value$

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Maximum value = 9

Minimum value = 3

So, the range is:

$Range=Maximum\:Value-Minimum\:Value\\Range=9-3\\Range =6$

So, Range = 6

3 0

2 years ago

Read 2 more answers

Stacy has $25 in her savings account.

Travka [436]

Answer:

The answer is 25+0.50x>150

6 0

2 years ago

Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified

Len [333]

The polynomial <span>3x2y2 − 5xy2 − 3x2y2 + 2x2 can be simplified by combining like terms.

The result is:
-5xy2 + 2x2

The polynomial is
a binomial (2 terms),
the degrees is 3
the highest order in x is 2 and the highest order in y is 2.</span>

4 0

2 years ago

The equation of the parabola with vertex (-5,3), with axis parallel to the x-axis, opening to the right and with x-intercept x =

lutik1710 [3]

Answer:

$x=1(y-3)^2-5$

Step-by-step explanation:

we need to find the equation of the parabola with vertex (-5,3), with axis parallel to the x-axis.

general equation of horizontal parabola is

$x=a(y-k)^2+h$

where (h,k) is the vertex

(-5,3) is the vertex. h=-5 and k=3. plug in the values in the general equation

$x=a(y-3)^2-5$

Now find out the value of 'a' using x intercept (4,0)

$4=a(0-3)^2-5$

$4=a(-3)^2-5$

$4=9a-5$

Add 5 on both sides

$9=9a$

a=1

the equation becomes

$x=1(y-3)^2-5$

4 0

2 years ago