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2 years ago

Find the positive value of k such that the area of the region enclosed between the graph y=kcosx and the graph y=kx^2 is 2

1 answer:

4 0

Both these graphs will pass through the origin so you need to work out the difference in areas by integrating

INtegral k cos x (between the limits 0 and a) - Intgral kx^2 ( between 0 and a) = 2
Find k
(where a is the value of x on positive side of the graph where the 2 curves intersect)

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Maria records random speeds from three different Internet providers in the table. Provider Download Speed (megabits per second)

Igoryamba

Answer:

<em>Able Cable </em>

Step-by-step explanation:

<u>Mean Value of Samples</u>

It's central tendency statistics measure that gives one representative value out of a complete dataset. It can be computed as the sum of the values by the number of values:

$\displaystyle \bar x=\frac{\sum x_i}{n}$

We need to evaluate the mean value of the three internet providers mentioned in the question.

For CityNet:

$\displaystyle \bar x_1=\frac{3.6+3.7+3.7+3.6+3.9}{5}=3.7$

For Able Cable:

$\displaystyle \bar x_2=\frac{3.9+3.9+4.1+4.0+4.1}{5}=4.0$

And for Tel-N-Net:

$\displaystyle \bar x_3=\frac{3.9+3.7+4.0+3.6+3.8}{5}=3.8$

We can conclude Able Cable offers the fastest mean downloading internet speed

7 0

2 years ago

Which monomial is a perfect cube? I I A 1x3 B 3x3 C 6x3 D 9x3

harkovskaia [24]

Answer:

option D 9x³

Step-by-step explanation:

the monomial 9x³ comes from (3x)³, which gives, 3×3×3×x×x×x= 9x³

9 is 3 times 3 and x³ is 3 times x. So here, 9x³ is a perfect cube

6 0

2 years ago

7 times as much as the sum of 1/3 and 4/5

Vlada [557]

$7( \frac{1}{3} + \frac{4}{5} )$

$=7( \frac{1(5)}{3(5)} + \frac{4(3)}{5(3)} )$

$=7( \frac{5}{15} + \frac{12}{15} )$

$=7( \frac{17}{15})$

$=\frac{7}{1} ( \frac{17}{15})$

$=\frac{119}{15}$

$= 7\frac{14}{15}$ ≈ 7.93

4 0

2 years ago

Read 2 more answers

The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, t

dexar [7]

Answer:

2.28%

Step-by-step explanation:

Let X be the number of books borrowed from a library each week

Given that X is normal with mean = 190 and std dev = 30

Thus Z score would be

Z= $\frac{x-190}{30}$

Required probability or chance = P(X>250)

=P( $z>\frac{250-190}{30}$

=P(Z>2)

=0.5-0.4772

=0.0228

=2.28%

8 0

2 years ago

Read 2 more answers

The cashier at the 76 truck stop has x dollars, all in $5 bills. what expression represents the number of $5 bills the cashier h

MaRussiya [10]

you don't list the choices but you would divide the total dollar amount by 5 to find out the number of bills there are so it should be something like :

total bills = x/5

4 0

2 years ago