The resulting fraction must be reduced to its simplest form in order to achieve the right answer. Thank you in advance. :0 ) 7 1/5 - 6 2/5 = ?

Answer: x = 6.5

Step-by-step explanation:

[tex]7x-14=3x+12\\\\Add(14)\\\\7x=3x+26\\\\Subtract(3x)\\\\4x=26\\\\Divide(4)\\\\x=6.5[/tex]

Hope it helps <3

Answer:

x=26/4 (simply to 13/2)

Step-by-step explanation:

Add 14 to both sides to cancel out the negative 14

7x=3x+26

Subtract 3x from both sides to cancel the 3x

4x=26

x=26/4 or 13/2

Answer:

E. The parameter is μmale - μfemale and the statistic is xmale - xfemale.

Step-by-step explanation:

The sample statistic is a piece of information about the individuals or objects that were selected from a given population. The sample is just a fraction of the total population. Since it is a herculean task studying an entire population, the sample forms a manageable size that allows us to have an insight into the entire population. The sample statistics are now the piece of information about the sample being studied such as the average, mean, median, or mode.  The sample statistics have to be as specific as possible of the factors being measured. In the question, we would have to obtain the mean of both the male and female genders. This gives us an insight into the population under study.

The parameter, on the other hand, is a description of the entire population being studied. For example, we might want to determine the population mean. That is the factor we seek to measure. It is represented by the sign mu (μ).  

Answer:

(a) [tex]\frac{1}{13}[/tex]

(b) [tex]\frac{3}{13}[/tex]

(c) [tex]\frac{10}{13}[/tex]

Step-by-step explanation:

The probability of an event B occurring is given by;

P(B) =  [tex]\frac{n(E)}{n(S)}[/tex]

Where;

P(B) = probability of the event B

n(E) = number of favourable outcomes

n(S) = total number of events in the sampled space.

From the question, the card is drawn randomly from a standard 52-card deck. The probability of

(a) drawing a "king" card is analyzed as follows.

Let the event of drawing the "king" card be B.

In a standard 52-card deck, the number of cards that are of type king is 4. i.e 1 from the diamond pack, 1 from the spade pack, 1 from the heart pack and 1 from the club pack.

Therefore, the number of favourable outcomes is 4, while the total number of events in the sampled space is 52.

The probability of drawing a "king" card, P(B) is;

P(B) = [tex]\frac{4}{52}[/tex]

P(B) = [tex]\frac{1}{13}[/tex]

(b) drawing a "face" card is analyzed as follows.

Let the event of drawing the "face" card be B.

In a standard 52-card deck, a face card can either be a Jack, Queen or a King. There are 4 Jack cards, 4 Queen cards and 4 King cards in the deck.  The number of cards that are of type face is 12.

Therefore, the number of favourable outcomes is 12, while the total number of events in the sampled space is 52.

The probability of drawing a "face" card, P(B) is;

P(B) = [tex]\frac{12}{52}[/tex]

P(B) = [tex]\frac{3}{13}[/tex]

(c) drawing a card that is not a "face" is analyzed as follows;

The sum of the probability of drawing a face card and the probability of not drawing a face card is always 1.

Let the event of drawing a "face" card be B and the event of not drawing a "face" card be C.

P(B) + P(C) = 1

P(C) = 1 - P(B)

From (b) above, the P(B) = [tex]\frac{3}{13}[/tex]

Therefore,

P(C) = 1 - [tex]\frac{3}{13}[/tex]

P(C) = [tex]\frac{10}{13}[/tex]

Answer:

-6+2i

Step-by-step explanation:

f(2i)=2i^2+2i-4

2i^2 is -2 because i^2 is-1, times 2 is -2.

Therefore, the equation becomes -2+2i-4, leaving the answer of -6+2i.

Answer:

P = £536.25

Her total pay for the week is £536.25

Step-by-step explanation:

The total pay can be written as;

P = t1(r1) + t2(r2)

Where;

t1 = normal time

r1 = normal time pay rate

t2 = overtime

r2 = overtime pay rate

Given;

t1 = 30 hours

t2 = 6 hours

r1 = £13.75

r2 = 1.5(r1) = 1.5(£13.75)

Substituting the given values into the equation 1;

P = 30(£13.75) + 6(1.5(£13.75))

P = £536.25

Her total pay for the week is £536.25

Answer: x < -18

Step-by-step explanation:

Simply multiply both sides by three to get x < -18

Step-by-step explanation:

x/3 < - 6

x < - 18

This should be the answer

Answer

[tex]bc - 4b + 3c - 12[/tex]

solution,

[tex](b + 3)(c - 4) \\ = b(c - 4) + 3(c - 4) \\ = bc - 4b + 3c - 12[/tex]

hope it helps..

Answer:

[tex]bc - 4b + 3c - 12[/tex] apply de disruptive property by multiplying each term of b+3 by each term of c -4

Answer:

Stella

Step-by-step explanation:

I guessed and got it right

Answer: (d) 88/ 2π

Step-by-step explanation:

Perimeter = 88m

Perimeter of a circle = 2πr

88 = 2π x r

r = 88 / 2π

Answer:

88/2π​ = r

Step-by-step explanation:

The circumference is 88 m

The circumference is given by

C = 2*pi*r

88 = 2 * pi *r

Divide each side by 2 pi

88 / 2pi = 2 * pi *r / 2 * pi

88 / 2 pi = r

Answer:

Option B

Step-by-step explanation:

First identify which options are a match for the hyperbola with a foci of (- 12, 6) and ( 6, 6 ). If there is only one, we can claim that that is the solution. Otherwise we would have to take the vertices into account,

The first option can be eliminated as it is present with a decimal in the denominator, indicating that the foci should also be a decimal. However, the foci of this option should be valuable to us -

[tex]\left(h+c,\:k\right),\:\left(h-c,\:k\right),\\\left(-3+c,\:6\right),\:\left(-3-c,\:6\right),\\c = ( About ) 3.6,\\\\Foci = \left(0.55808 ,\:6\right),\:\left(-6.55808,\:6\right)[/tex]

The second option squares the denominators of the first option, so the foci should be the following -

[tex]Foci = ( - 12, 6 ), ( 6, 6 )[/tex]

Which is the given! The rest of the options are similar to this second option, but are altered, thus don't have the same foci,

Solution = Option B

Answer:

Step-by-step explanation:

Hello friend

The answer is 5:15 in 12 hour clock

Answer:

5:15 PM

Step-by-step explanation:

12:00 + 5:00

17:00 in 12 hour clock is 5:00 PM.

15 minutes + 5:00 PM

⇒ 5:15 PM

Answer:

I hope this helps

Step-by-step explanation:

Answer: a) 503.2m

b) 621.6m

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo.

A represents her starting point.

CD = x = how far east she is from her starting point

BC = y = how far south she is from her starting point

Angle BAC = 180 - 129 = 51°

Angle ACD = angle BAC = 51° because they are alternate angles

To determine x, we would apply the cosine trigonometric ratio

Cos 51 = x /800

x = 800Cos51 = 800 × 0.629 = 503.2m

To determine y, we would apply the sine trigonometric ratio

Sin 51 = y /800

y = 800Sin51 = 800 × 0.777 = 621.6m

Answer:

Answer is below.

Step-by-step explanation:

Points R, S, T, Q on Circle O - Given

m (arc) RS + m (arc) ST = m (arc) RT , m (arc) RT + m (arc) TQ = m (arc) RQ - Arc addition

m (arc) RS + m (arc) ST + m (arc) TQ = m (arc) RQ - Substitution

Hope this helps.

The proofing is as follows:

Given that,

Now

m (arc) RS + m (arc) ST = m (arc) RT , m (arc) RT + m (arc) TQ = m (arc) RQ - Arc addition

And,

m (arc) RS + m (arc) ST + m (arc) TQ = m (arc) RQ - Substitution

learn more: https://brainly.com/question/7695753?referrer=searchResults

Answer:

2) 43

4) 65

Step-by-step explanation:

The first and third quartile of the data can be found by calculating the median of the first and second halves of the data.  For example, the first quartile of the data can be calculated thus:

40,41,43,50,56

41,43,50

43

and the third quartile thus:

62,63,65,78,97

63,65,78

65

Hope it helps <3

Answer:

A) 43

B) 65

Step-by-step explanation:

A) First Quartile = [tex](N+1)\frac{1}{4}[/tex]

Where N is the number of observations

=> 1st Quartile = (11+1)(1/4)

=> 1st Quartile = (12)(1/4)

=> 1st Quartile = 3rd number

B) Third Quartile = [tex](N+1)\frac{3}{4}[/tex]

=> 3rd Quartile = (11+1)(3/4)

=> 3rd Quartile = (12)(3/4)

=> 3rd Quartile = 3*3

=> 3rd Quatile = 9th number

Answer:

-3313

Step-by-step explanation:

3x^5 + 4x^3 - x +11

Put x as -4 and evaluate.

3(-4)^5 + 4(-4)^3 - (-4) + 11

-3072 + - 256 + 4 + 11

= -3313

Answer:

[tex]\boxed{x = 8/3}[/tex]

Step-by-step explanation:

=> [tex]11-2x+8x+5 = 32[/tex]

Combining like terms

=> [tex]11+5 -2x+8x = 32[/tex]

=> 16 + 6x = 32

Subtracting 16 to both sides

=> 6x = 32 - 16

=> 6x = 16

Dividing both sides by 6

=> x = 16/6

Simplifying

=> x = 8/3

Answer:

[tex]\displaystyle x = \frac{8}{3}[/tex]

Step-by-step explanation:

[tex]11 - 2x + 8x + 5 = 32[/tex]

Combine like terms.

[tex]8x - 2x + 5 + 11 = 32[/tex]

[tex]6x + 16 = 32[/tex]

Subtract 16 on both sides of the equation.

[tex]6x + 16 - 16 = 32 - 16[/tex]

[tex]6x = 16[/tex]

Divide both sides by 6.

[tex]\frac{6x}{6} =\frac{16}{6}[/tex]

[tex]x = \frac{8}{3}[/tex]

Answer:

45 premium tickets were sold

Step-by-step explanation:

p = premium

d = deluxe

r = regular

p+d+r = 273

6p+4d + 2r = 836

118+d = r

Replace r with 118+d

p+d+118+d = 273

p +2d = 273-118

p+2d = 155

6p+4d + 2(118+d) = 836

6p+4d + 236+2d = 836

6p +6d = 836-236

6p + 6d = 600

Divide by 6

p+d = 100

d = 100-p

Replace d in p +2d= 155

p +2(100-p) = 155

p+200-2p = 155

-p = 155-200

-p =-45

p =45

45 premium tickets were sold

Answer:

Step-by-step explanation

We get three linear equations from the information given, where

p= number of premium tickets

d = number of deluxe tickets

r = number of regular tickets:

[tex]\left \{ {{p+d+r=273} \atop \\{6p+4d+2r=836} \right.[/tex]

and the applying third r=118+d, we get

[tex]\left \{ {p+d+118+d=273} \atop {6p+4d+2d+236=836}} \right.[/tex]

[tex]\left \{ {{p+2d=115} \atop {6p+6d=600}} \right.[/tex]

Now we get from the upper one

p=115-2d

solving the another equation gives us

6*115-12d+6d=600,

hence d=15

and by replacing

p=115-2*15=85.

85 premium tickets were sold

Answer:

Quad 1

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Edge 2021

Answer:

[tex] N(t) =N_o (\frac{1}{2})^{\frac{t}{t_{1/2}}}[/tex]

Where [tex]t_{1/2}= 3.3 hr[/tex] represent the half life and the intial amount would be [tex] N_o = 1[/tex]

And we want to find the time in order to have a 95% of decay so we can set up the following equation:

[tex] 0.05 = 1 (0.5)^{t/3.3}[/tex]

If we apply natural log on both sides we got:

[tex] ln(0.05) = \frac{t}{3.3} ln (0.5)[/tex]

And solving for t we got:

[tex] t= 3.3 *\frac{ln(0.05)}{ln(0.5)}= 14.26[/tex]

So then would takes about 14.26 hours in order to have  95% of the lead to decay

Step-by-step explanation:

For this case we can define the variable of interest amount of Pb209 and for the half life would be given:

[tex] N(t) =N_o (\frac{1}{2})^{\frac{t}{t_{1/2}}}[/tex]

Where [tex]t_{1/2}= 3.3 hr[/tex] represent the half life and the intial amount would be [tex] N_o = 1[/tex]

And we want to find the time in order to have a 95% of decay so we can set up the following equation:

[tex] 0.05 = 1 (0.5)^{t/3.3}[/tex]

If we apply natural log on both sides we got:

[tex] ln(0.05) = \frac{t}{3.3} ln (0.5)[/tex]

And solving for t we got:

[tex] t= 3.3 *\frac{ln(0.05)}{ln(0.5)}= 14.26[/tex]

So then would takes about 14.26 hours in order to have  95% of the lead to decay

Answer:

50%

Step-by-step explanation:

a) $36.

b) $44.

- I hope this helps.

Answer:

x = 2.2

Step-by-step explanation:

-0.45x + 0.33 = -0.66

Subtract .33 from each side

-0.45x + 0.33-.33 = -0.66-.33

-.45x = -.99

Divide each side by -.45

-.45x./-.45 = -.99/-.45

x = 11/5

x = 2.2

Answer:

largets area is 32 feet cubed

Step-by-step explanation:

8=4  foot 2 for each  side w and e and 32feet n and s  16 each side

Answer:

6/5, 7/6

Step-by-step explanation:

The nth term is (n+1)/n

2/1, 3/2, 4/3, 5/4

Put n as 5 and 6.

(5+1)/5

= 6/5

(6+1)/6

= 7/6

Complete Question

The complete question is shown on the first and second uploaded image

Answer:

The  marginal density function of Y is  [tex]f(y)= \frac{e^{\frac{-y}{10} }}{10}[/tex]

The distribution is exponential distribution

and the expected value is[tex]E[Y] = 10[/tex]

Step-by-step explanation:

From the question we are told that the function is  

       [tex]f(x,y) = \frac{e^{-\frac{y}{10} }}{10y} \ \ \ 0< y <x<2y[/tex]

Now the marginal density function of Y i.e f(y) is mathematically evaluated by obtaining the probability density function of y as follows

           [tex]= \int\limits^{2y}_{y} { \frac{e^{\frac{-y}{10} }}{10y} } \, dx[/tex]

            [tex]= \frac{e^{\frac{-y}{10} }}{10y} * (2y - y )[/tex]

          [tex]= \frac{e^{\frac{-y}{10} }}{10}[/tex]

The distribution of the function above is exponential distribution with a rate parameter equals to  

            [tex]\lambda = \frac{1}{10}[/tex]

  The mean DOT estimate E{Y} is mathematically evaluated as

           [tex]E[Y] = \frac{1}{\lambda}[/tex]

    substituting value

            [tex]E[Y] = \frac{1}{\frac{1}{10} }[/tex]

             [tex]E[Y] =10[/tex]

Answer:

The coordinates of the point on a circle with radius 4 at an angle of [tex]\frac{2\pi}{3}[/tex] radians are x = -2 and y = 3.464.

Step-by-step explanation:

This problem ask us to determine the rectangular coordinates from polar coordinates. The polar coordinates of the point in rectangular form is expressed by the following expression:

[tex](x,y) = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]

Where [tex]r[/tex] and [tex]\theta[/tex] are the radius of the circle and the angle of inclination of the point with respect to horizontal, measured in radians. If [tex]r = 4[/tex] and [tex]\theta = \frac{2\pi}{3}\,rad[/tex], the coordinates of the point are:

[tex](x,y) = \left(4\cdot \cos \frac{2\pi}{3},4\cdot \sin \frac{2\pi}{3} \right)[/tex]

[tex](x,y) = (-2, 3.464)[/tex]

The coordinates of the point on a circle with radius 4 at an angle of [tex]\frac{2\pi}{3}[/tex] radians are x = -2 and y = 3.464.

Answer:

y=4x+9

Step-by-step explanation:

replace m with 4, which is the slope you gave, and

replace b with 9, the y-intercept you gave,

in the equation y=mx+b.