Find the equation of a line passing through the point (2,-4) that is parallel to the line

Answer:

If you want to find a midpoint you can count. Since there is no picture I can't tell you the answer but if you meant to write"Find the midpoint of CD, C= (-3,4) and D= (5,-8) then the answer would be (1, -2). Also if it's horizontal or vertical you have to divide length of the segment by 2. And by any chance you wanted to find out how A line segment CD has one endpoint C (6,5) and midpoint M (4,2) How do you determine point D? your answer would be y D = − 1  you would need to use this formula:

z M = z A + z B

      2      

Hope that was helpful.Thank you!!!

Answer:

40/81.

Step-by-step explanation:

Prob(Picking a blue on one pick) = 5/(5+4) = 5/9.

Prob(Picking a red on one pick) = 4/(5+4) = 4/9.

Required probability  is either the first pick is blue OR the second pick is blue. (The other probability on one pick is of course a red marble.)

Probability of at least 1 blue = P(red)*P(blue) + P(blue)*P(red)

= 4/9 * 5/9 + 5/9*4/9

= 20/81 + 20/81

= 40/81.

Another way of solving this is by using a tree diagram.

Based on the above, the probability of getting exactly 1 blue marble is 40/81.

Scenario 1: Blue on the first draw, red on the second draw:

Scenario 2: Red on the first draw, blue on the second draw:

The probability of drawing a red marble on the first draw is 4/9. After replacing the marble, the probability of drawing a blue marble on the second draw is 5/9.

To find the total probability, one has to add the probabilities of the two scenarios:

Probability of exactly 1 blue marble = (Probability of Scenario 1) + (Probability of Scenario 2)

= (5/9) * (4/9) + (4/9) * (5/9)

= 20/81 + 20/81

= 40/81

Therefore, the probability of getting exactly 1 blue marble is 40/81.

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Answer:

Triangular Prism

volume 748

Answer: 38 23/24

Step-by-step explanation:

Turn the mixed numbers into improper fractions

5 * 3 = 15

15 + 2 = 17

17/3

————————

6 * 8 = 48

48 + 7 = 55

55/8

————————

Now multiply the improper fractions

17/3 * 55/8

17 * 55 = 935

3 * 8 = 24

Divide 935 by 24 to get the answer as a mixed number.

935 / 24 = 38.95833

0.95833/1 = 23/24

935/24 as a mixed number is 38 23/24

Answer: 119 / 4

Step-by-step explanation:

5 2/3 x 6 7/8

= 17/3 x 6 x 7/8

= 17 x 2 x 7/8

= 17 x 2 x 7/8

= 17 x 7/4

= 119 / 4

Answer:

23/50

Step-by-step explanation:

11/20=0.55

23/50=0.46

0.5-0.46=0.04

0.543-0.5=0.043

0.5-0.458=0.042

Answer: 5 cm

Step-by-step explanation:

The diagonals of a rhombus bisect each other in half

PO = OR = 4 cm

So. PR = 8 cm

Similarly,

SO = OQ = 3 cm

So, SQ = 6 cm

To measure side, formula is

a = √p^2 + q^2 / 2

a = √6^2 + 8^2 / 2

a = √36+64 / 2

a = √100 / 2

a = 10/2 = 5 cm

Answer:

73.03% probability that it will be working two days from now

Step-by-step explanation:

The machine is broken today.

If the machine is broken on a day, the following day, it has a 1-0.33 = 0.67 probability of working on the next day.

Otherwise, if it is works correctly on a day, it has a 0.76 probability of working on the next day.

Uf the machine is broken today, what is the likelihood that it will be working two days from now

Either of these outcomes are acceptable:

Tomorrow - 2 days from now

Not working - working

Working - Working

Not working - working

Today, it does not work. So tomorrow the probability of not working correctly is 0.33. Then, if tomorrow does not work, 0.67 probability of working correctly two days from now

0.33*0.67 = 0.2211

Working - Working

Today, it does not work. So tomorrow the probability of working correctly is 0.67. Then, if tomorrow works, 0.76 probability of working correctly two days from now

0.67*0.76 = 0.5092

Total

0.2211 + 0.5092 = 0.7303

73.03% probability that it will be working two days from now

The correct answer is $614

Explanation:

To calculate the total amount Kiki earned during the three days, it is necessary to find out first the money she earned on commissions ( 8% of each item she sold) and then add this to the total of her base salary ($150 per day). To begin, you can find the 8% of any price by dividing the total price by 100 and then multiplying it by 8, considering the total price represents 100% and by dividing by 100 you will get the value of 1%, then if you multiply this by 8 you will know the 8%.

$350 /100 = 3.5 x 8 = $28 (commission of  the sofa chair)

$500/100 = 5 x 8 = $40 (commission of the loveseat)

$1,200/ 100 = 12 x 8 = $96 (commission of the couch)

This means, Kiki earned a total of $164 in commissions (28 + 40 + 96 = 164), and if you add this to the total of her base salary (150 + 150 + 150 =450) during the three days, the total earned is $614 because $ 450 (base salary) + $164 (commissions) equals $614.

Answer:

614. I got the assignment correct!

Step-by-step explanation:

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

[tex]f(x) = \lambda e^{-\lambda x} ; x > 0[/tex]

Here, [tex]\lambda[/tex] = exponential parameter

Now, the mean of the exponential distribution is given by;

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

So,  [tex]22=\frac{1}{\lambda}[/tex]  ⇒ [tex]\lambda=\frac{1}{22}[/tex]

SO, X ~ Exp([tex]\lambda=\frac{1}{22}[/tex])  

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

    [tex]P(X\leq x) = 1 - e^{-\lambda x}[/tex]  ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

        P(X < 30)  =  [tex]1 - e^{-\frac{1}{22} \times 30}[/tex]

                         =  1 - 0.2557

                         =  0.7443

Answer:

6 pizzas

Step-by-step explanation:

At least 10 and fewer than 20 makes it 10-19

So,

10-19 => 6 pizzas

6 pizzas have at least 10 pieces of pepperoni but fewer than 20 pieces of pepperoni.

Answer:

x<16

Step-by-step explanation:

number n

eight less than four times a number ... 4 x n - 8

is less than 56 ... < 56

4 x n - 8 < 56

4 x n < 56 + 8

4 x n < 64/4

n < 64 / 4

n < 16

Answer:

Step-by-step explanation:

Let the number be x

Four times the number :  4x

Eight less than four times a number: 4x - 8

4x - 8 < 56

Now add 8 to both sides,

4x < 56+8

4x < 64

Divide both sides by 4,

x < 64/4

x < 16

Possible values of number = Value less than 16

Answer:

D

Step-by-step explanation:

Mark Brainliest

Answer:

It is only (5,24).

Step-by-step explanation:

You are correct.

Sometimes, check all options means there could be just one option.

Answer:

The solution for this is:

y = (0.6 * x) + 1.25

Hope it helps! :)

Answer:

Having 3.2 liters of water for 3 hours of hiking

Step-by-step explanation:

If x represents the number of hours and y represents the number of liters of water, then we can plug the possible solutions into our inequality to see which solution(s) work.

The first option is having 3 liters of water for 3.5 hours of hiking. We will plug 3 in for y and 3.5 in for x:

y > 0.6x + 1.25

3 > 0.6(3.5) + 1.25

3 > 3.35

But since 3 is not greater than 3.35, this does not work.

The next option is having 2 liters of water for 2.5 hours of hiking:

2 > 0.6(2.5) + 1.25

2 > 2.75

But 2 is not greater than 2.75, so this does not work.

Option c is having 2.3 liters of water for 2 hours of hiking:

2.3 > 0.6(2) + 1.25

2.3 > 2.45

Since 2.3 is not greater than 2.45, this solution does not work.

The last option is having 3.2 liters of water for 3 hours of hiking:

3.2 > 0.6(3) + 1.25

3.2 > 3.05

3.2 IS greater than 3.05, so this solution works!

Answer:

-3

Step-by-step explanation:

a-2+3=-2

-3 -3

a-2=-5

+2 +2

a=-3

// have a great day //

Answer:

a = -3

Step-by-step explanation:

a - 2 + 3 = -2

Add like terms.

a + 1 = -2

Subtract 1 on both sides.

a = -2 - 1

a = -3

The value of a in the equation is -3.

Answer:

[tex]-4x+28[/tex]

Step-by-step explanation:

[tex]18-2(x+x-5)[/tex]

[tex]18+(-2)(x)+(-2)(x)+(-2)(-5)[/tex]

[tex]18+-2x+-2x+10[/tex]

[tex]-2x-2x+10+18[/tex]

[tex]=-4x+28[/tex]

Answer:

[tex]4[/tex]

Step-by-step explanation:

Tiana's sister age is [tex]x[/tex].

Tiana's age is:

[tex]\frac{2}{5} x[/tex]

Adding their ages gives [tex]14[/tex].

[tex]x+\frac{2}{5} x=14[/tex]

[tex]1.4x=14[/tex]

[tex]\frac{1.4x}{1.4}=\frac{14}{1.4}[/tex]

[tex]x=10[/tex]

Put [tex]x[/tex] as [tex]10[/tex]:

[tex]\frac{2}{5} (10)=4[/tex]

Therefore, Tiana is 4 years old.

Answer:

Due to the higher coefficient of variation, 2009's GMAT scores show a more dispersed distribution

Step-by-step explanation:

To verify how dispersed a distribution is, we find it's coefficient of variation.

Coefficient of variation:

Mean of [tex]\mu[/tex], standard deviation of [tex]\sigma[/tex]. The coefficient is:

[tex]CV = \frac{\sigma}{\mu}[/tex]

Which year's GMAT scores show a more dispersed distribution

Whichever year has the highest coefficient.

2009:

Mean of 500, standard deviation of 90. So

[tex]CV = \frac{90}{500} = 0.18[/tex]

2010:

Mean of 570, standard deviation of 85.5. So

[tex]CV = \frac{85.5}{570} = 0.15[/tex]

Due to the higher coefficient of variation, 2009's GMAT scores show a more dispersed distribution

2009's GMAT scores show a more dispersed distribution.

Given that in 2009: Mean = 500 and standard deviation = 90.

In 2010: Mean = 570 and standard deviation = 85.5.

If the standard deviation is higher then the scores will be more dispersed.

Note that: 90 > 85.5. And 90 corresponds to 2009.

So, 2009's GMAT scores show a more dispersed distribution.

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Answer:

Option 2) Sin 35 = [tex]\frac{5}{x}[/tex]

Step-by-step explanation:

Sin 35 = [tex]\frac{opposite }{hypotenuse}[/tex]

Where opposite = 5' and hypotenuse = x(unknown)

=> Sin 35 = [tex]\frac{5}{x}[/tex]

Answer:

33/4

Step-by-step explanation:

Let the first number be x, and the second number be y.

x - y = 4

x + y = -7

Solve for x in the first equation.

x - y = 4

x = 4 + y

Put x as (4 + y) in the second equation and solve for y.

4 + y + y = -7

4 + 2y = -7

2y = -7 - 4

2y = -11

y = -11/2

Put y as -11/2 in the first equation and solve for x.

x - y = 4

x - (-11/2) = 4

x + 11/2 = 4

x = 4 - 11/2

x = -3/2

Their product is:

-11/2 × -3/2

33/4

Answer: 33/4

Step-by-step explanation:

We can use system of equations to find the missing numbers. Once we have the missing numbers, we can find the product. Let's use x and y for the missing numbers.

Equation 1

x-y=4

This equation comes from the difference of the 2 numbers being 4.

Equation 2

x+y=-7

This equation comes from the sum of the 2 numbers is -7.

We can use elimination to solve for y. We would subtract the 2 equations together so that x can cancel out.

-2y=11

y=-11/2

Now that we know y, we can substitute it into the equations above to find x.

x-(-11/2)=4

x+11/2=4

x=-3/2

With the x and y values, we can find the product.

(-3/2)*(-11/2)=33/4

Answer:

63 points

Step-by-step explanation:

63 points is the lowest score having 6 as "leaf" and 3 as "stem"

Answer:

63 points

Step-by-step explanation:

The lowest score is 63 with a stem of 6 and leaf of 3.

Answer:

21

Step-by-step explanation:

1/5 of 30 is 6

10% of 30 is 3

3+6=9

30-9=21

which is 7/10

Answer:

Simon has 7/10 of the cakes left.

Answer:

a)0.2275   b)95/105=19/21    c)10/105= 2/21

Step-by-step explanation:

a) The case "The test result is positive" consists in 2 parts.

The 1st one is "The person has the desease (15%=0.15)  and the test's  result is positive (95%=0.95)

The probability of that is P(desease, positive) = 0.15*0.95=0.1425

The 2nd one is "The person has no the desease (100%-15%=85%=0.85). However the test result is positive (10%=0.1)

The probability of that is P(not desease, positive)=0.85*0.1=0.085

The total probability that test is positive is the sum of 1st and 2-nd parts of the case: P(pos) = 0.1425+0.085=0.2275

b) As it has been shown in a) The test result can be positive in case that the person is really has the desease (95%) and in case the person has no the desease (10%).  This actually means that 95 persons from 105  having positive test result are really has the desease.

So the probability that the test result is positive and person has the desease is P (desease/positive)= 95/105

c) It's clearly seen that the sum of  probabilities of b) and c)  equal 1.

Both events make full group of events.

If the test result is positive the person can have the desease or can have not the desease. So ( no desease/positive)= 1-95/105=10/105

Answer:

The part-to-part relationship between homework help and sports

Step-by-step explanation:

Assume the table is like the one below.

[tex]\begin{array}{lcl}\textbf{Activity}& \textbf{Students} \\\text{Spanish} & 19 \\\text{Basketball} & 24 \\\text{Drama} & 15\\\text{Homework help} & 17 \\\text{Soccer} & 20 \\\end{array}[/tex]

17 students participated in homework help.  

44 students participated in basketball (24) and soccer (20), i.e. sports

Both sports and homework help are parts of the whole group of all activities.

Thus, 17:44 represents the part-to-part relationship between homework help and sports.

Explanation: Please show table.

Answer:

About 11.77 centimeters

Step-by-step explanation:

By law of sines:

[tex]\dfrac{50}{\sin 62}=\dfrac{x}{\sin 12} \\\\\\x=\dfrac{50}{\sin 62}\cdot \sin 12\approx 11.77cm[/tex]

Hope this helps!

Answer:

42.9%

Step-by-step explanation:

The even numbers on the spinner are 4, 6, and 8.

3 even numbers out of total 7 numbers.

3/7 = 0.42857 = 42.9%

Answer:

n=N-1

Step-by-step explanation:

You can start by imagining this scenario on a small scale, say 5 squares.

Assuming it starts on the first square, the grasshopper can cover the full 5 squares in 2 ways; either it can jump one square at a time, or it can jump all the way to the end and then backtrack. If it jumps one square at a time, it will take 4 hops to cover all 5 squares. If it jumps two squares at a time and then backtracks, it will take 2 jumps to cover the full 5 squares and then 2 to cover the 2 it missed, which is also 4. It will always be one less than the total amount of squares, since it begins on the first square and must touch the rest exactly once. Therefore, the smallest amount n is N-1. Hope this helps!

The smallest value of n is N-1.

Square is a quadrilateral of equal length of sides and each angle of 90°.

Here given that there are 1×N squares i.e. N numbers of squares in one row.

The grasshopper can jump either one square or two squares to land on the next square.

Let's assume the scenario of 5 squares present in a row.

Let the grasshopper starts from the first square,

so the grasshopper can cover the full 5 squares in 2 methods;

one method is that it will jump one square at a time and reach at last square.

another method is it will jump all the squares to the finish and then backtrace.

If the grasshopper jumps one square at a time, it will take 4 jumps to cover all 5 squares.

Similarly, If a grasshopper jumps two squares at a time and then backtrace, it will take 2 jumps to reach the 5th square and then it will jump 1 square and then 2 squares to cover the 2 squares it missed, for which the number jump is also 4.

From the above it is clear that the number of jumps will always be one less than the total number of squares if the grasshopper begins from the first square and touch every square exactly once.

Therefore, the smallest value of n is N-1.

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Answer:

The population mean load failures for the three etch times are all equal

Step-by-step explanation:

For an ANOVA F test, the null hypothesis always assumes that mean which is also the average value of the dependent variable which is continuously are the same/ there is no difference in the means. The alternative is to test against the null and it is always the opposite of the null hypothesis.

Answer: Working together, they can complete the task in 7 hours and 12 minutes.

Step-by-step explanation:

Ok, Briana needs 12 hours to complete the task.

Then we can find the ratio of work over time as:

1 task/12hours = 1/12 task per hour.

This means that she can complete 1/12 of the task per hour.

Henry needs 18 hours to complete the task, then his ratio is:

1 task/18 hours = 1/18 task per hour.

This means that he can complete 1/18 of the task in one hour.

If they work together, then the ratios can be added:

R = 1/12 + 1/18 = 18/(12*18) + 12/(18*12) = 30/216

we can reduce it to:

R = 15/108 = 5/36

So, working together, in one hour they can complete 5/36 of the task, now we can find the number of hours needed to complete the task as:

(5/36)*x = 1 task

x = 36/5 hours = 7.2 hours

knowing that an hour is 60 minutes, then 0.2 of an hour is 60*0.2 = 12 minutes.

then x = 7 hours and 12 minutes.

Answer:

14.4 units

Step-by-step explanation:

In Trigonometry

[tex]\cos \theta =\frac{Adjacent}{Hypotenuse}\\[/tex]

In Triangle DEF,

[tex]\cos F =\dfrac{EF}{DF}\\\cos 26^\circ =\dfrac{EF}{16}\\EF=16 \times \cos 26^\circ\\=14.4$ units (correct to the nearest tenth).[/tex]