Which of the following is a solution of (x - 5)(x + 7) = 3x + 21
0
45
8
5

Answer: 25.08%

Step-by-step explanation:

Given: Distance traveled by each volunteer driver is normally distributed.

Mean ([tex]\mu[/tex]) = 50 thousand miles

standard deviation ([tex]\sigma[/tex])=  12 thousand miles

Let X = distance traveled by each volunteer driver

Required probability : [tex]P(X<30)+P(X>60)[/tex]

[tex]=P(\dfrac{X-\mu}{\sigma}<\dfrac{30-50}{12})+P(\dfrac{X-\mu}{\sigma}>\dfrac{60-50}{12})\\\\=P(z<-1.67)+P(z>0.83)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\= (1-P(z<1.67))+(1-P(z<0.83)\ \ \ [P(Z<-z)=1-P(Z<z)=P(Z>z)]\\\\= 2- P(z<1.67)-P(z<0.83)\\\\= 2- 0.9525-0.7967=0.2508\ \ [\text{By p-value table}][/tex]

Hence, percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year = 25.08%

Answer:

stream walls by louis tomlinson on itunes

Step-by-step explanation:

Part A

2 white, 5 red, 7 total

P(1st white) = 2/7

P(1st white, 2nd white) = P(1st white)*P(2nd white)

P(1st white, 2nd white) = (2/7)*(4/9)

P(1st white, 2nd white) = 8/63

Let m = 8/63

---------------

P(1st red) = 5/7

P(1st red, 2nd red) = P(1st red)*P(2nd red)

P(1st red, 2nd red) = (5/7)*(7/9)

P(1st red, 2nd red) = 5/9

Let n = 5/9 = 35/63

---------------

m+n = P(both are same color)

m+n = 8/63+35/63

m+n = 43/63

========================================

Part B

m = P(first white then red)

m = (2/7)*(5/9)

m = 10/63

n = P(first red then white)

n = (5/7)*(2/9)

n = 10/63

r = P(second bead isn't same color as first)

r = m+n

r = 10/63+10/63

r = 20/63

========================================

Part C

m = P(1st white, 2nd white)

m = (2/7)*(4/9)

m = 8/63

n = P(1st red, 2nd white)

m = (5/7)*(2/9)

m = 10/63

m+n = P(2nd is white)

m+n = 8/63+10/63

m+n = 18/63

m+n = 2/7

========================================

Part D

If we withdraw 1 white bead, but we add it back in, then the probability of selecting white has not changed on the second selection.

The same can be said if we picked a red bead as well. This is because we simply replace the red bead with a copy of some other red bead.

Nick's statement is another way of saying replacement is happening.

Answer:

x=15

Step-by-step explanation:

4 I x-5 I +20 = 60 Distribute the 4

4x - 20 + 20 = 60   Combine like terms :

4x - 0 = 60

4x = 60 Divide:

 x = 15

Check :  4 I 15 - 5 I + 20 = 60

                  4 I10I +20 = 60

                    40 + 20 = 60

                         60 = 60 ✔

Hope this helps :)

Answer:

Step-by-step explanation:

so simplify the first half of the equation

4x-20+20 = 60

combine like terms

4x = 60

divide both sides by 4

x = 15

Answer:

The answer is B)120

Step-by-step explanation:

Multiply 5 and 8= 40 then, multiply 3 from 40.

Punch that into a calculator and it will give you 120

Answer:

Function is always a relation because otherwise an equation could not be written about its spread behavior.

Function cannot have two ys to an x.  So, a relation is not always a function.

Step-by-step explanation:

Answer:

Function is always a relation because otherwise an equation could not be written about its spread behavior.

Function cannot have two ys to an x.  So, a relation is not always a function.

Answer:

Step-by-step explanation:

x - the smallest of three consecutive integers (the first)

x+1 - the next of three consecutive integers (the second)

x+2 - the last of three consecutive integers (the third)

3(x+2) - three times the third integer

3(x+2)+x - three times the third increased by the first

5(x+1)   - five times the second tnteger

5(x+1)-8  - 8 less than five times the second

3(x + 2) + x = 5(x + 1) - 8

3x + 6 + x = 5x + 5 - 8

   4x + 6 = 5x - 3

       -4x        -4x

        6 = x - 3

         x = 9

x+1 = 10

x+2 = 11

Check:  3×11+9 = 33+9 = 42,   5×10-8=50-8 = 42

Step-by-step explanation:

So, cost of 6.5 kg of apples is Rs. 520 and we need to find cost of one kg apples.

So,

6.5 kg -- Rs. 520

1 kg -- Rs.(520/6.5) = Rs.80

Answer:

Train your very hardest. You can't just give up on day on. Believe in yourself.

Step-by-step explanation:

Answer:

If two lines are parallel, then they have equal slopes.

Step-by-step explanation:

Conditional:

If two lines have equal slopes, then the lines are parallel.

Converse: switch the hypothesis and the conclusion.

Converse:

If two lines are parallel, then they have equal slopes.

Answer:

x=6?

Step-by-step explanation:

it is 90 degresses

Answer:

31 minutes

Step-by-step explanation:

Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds

1st runner time = 4 minutes 37 seconds

2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds

3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds

4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds

5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second

6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds

7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds

8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds

The total time is the addition of all the times

For clarity sake, we shall be adding all the minutes together and all the seconds together;

That will be ;

(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)

= 27 minutes + 224 seconds

We need to convert 224 seconds to minutes

Since 60 seconds make one minute; we have

224 - 60(3) = 3 minutes and 44 seconds

Let’s add this to the minutes we had before

That would be;

27 minutes + 3 minutes + 44 seconds

= 30 minutes 44 seconds

since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute

So the total time is 30 minutes + 1 minute = 31 minutes

Answer:

98275

Step-by-step explanation:

5=6

Answer:

22

Step-by-step explanation:

After dilation with center (0,0) and scale factor 6 new coordinates of point U are ( 0, 18).

" Dilation is defined as to resize the given geometrical shape with given scale factor."

Formula used

Scale factor

=  (Dimensions of new shape) ÷ (Dimensions of original shape)

According to the question,

Given rectangle QUAD,

Coordinates of Q(0,0)

Coordinates of  U(0,3)

Coordinates of  A(7,3)

Coordinates of D(7,0)

Q'U'A'D' is the image of QUAD after a dilation with center​ (0,0) and scale factor 6.

New Coordinates of Q'(0,0)

New Coordinates of  U'(0,18)

New Coordinates of  A'(42,18)

New Coordinates of D'(42,0)

Hence, after dilation with center (0,0) and scale factor 6 new coordinates of point U are ( 0, 18).

Learn more about dilation here

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3,708,000,000 in  scientific notation is [tex]3.708[/tex] × [tex]10^9[/tex]

Answer:

20y

Step-by-step explanation:

Area of rectangle = area of square

=> length * breadth = side²

=> 50y * 8y = side²

=> 400y² = side²

=> (20y)² = side²

=> 20y = side length of square

Answer:

10:4, 15:6, 20:8

hope that helps.

Answer:

see explanation

Step-by-step explanation:

Assuming the dilatation is centred at the origin.

Then multiply the coordinates of each point by the scale factor, that is

(- 2, 3 ) → (- 2(2), 3(2) ) → (- 4, 6 )

(3, 4 ) → (3(2), 4(2)) → (6, 8 )

(4, - 1 ) → (4(2), - 1(2)) → (8, - 2 )

Answer:

B

Step-by-step explanation:

B

The numerator is 10 + x.

The denominator is y - 3.

Answer: m<DEA = 95° also

Step-by-step explanation: I took geometry last year and I don’t remember the exact name of the explanation but both of the angles are equal

Answer:

x=-4, y=0, z=-2

Step-by-step explanation:

Answer:

the second answer

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation

:khan academy

Answer:

rx is 2.5. as the cop (constant of proportionality)

Answer:

a, b, and c

Step-by-step explanation:

all of them are in the form y=mx+b except for c, which does not have a constant slope throughout the entire line, it will be decreasing or negative until 0, and then increasing or positive after 0, so the slopes would not be the same.

Answer:

5:80, there are only 2 numbers

Step-by-step explanation:

The ratio of blue triangles to all triangles is 1 : 17.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

A Pattern has 5 blue triangles to every 80 yellow triangles.

Here, Number of blue triangles = 5

Number of all triangles = 5 + 80

                                    = 85

Thus, The ratio of blue triangles to all triangles is,

⇒ Number of blue triangles : Number of all triangles

⇒ 5 : 85

⇒ 1 : 17

Learn more about the ratio visit:

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Answer:

x>-3 means that x is anywhere from -2 to any positive number... I don't know if this helps at all but it's what I got from the question ask! <3

Step-by-step explanation:

Answer:

It's in standard form

Step-by-step explanation: