What is the value of the correlation coefficient r of the data set?

Step-by-step explanation:

Actually 0.0605 is already in standard form and it can be expressed in scientific notations as given below.

[tex] \huge0.0605 = 6.05 \times {10}^{ - 2} \\ [/tex]

Answer:

No.

Step-by-step explanation:

The friend is not correct because in this case one five is 100 times greater than the other, not 10.

Answer: She purchased 72 cones, 32 balls, and 60 vests.

Step-by-step explanation:

The total number of items is 164.

The price of the vests is $2.50 each.

The price of the soccer balls is $9.25 each.

The price of the cones is $0.75 each.

The total budget was  $500.

If V is the number of vests, B the number of balls, and C the number of cones, we have that:

V + B + C = 164.

V*$2.50 + B*$9.25 + C*$0.75 = $500.

and:

"She purchased 40 more cones than  balls."

C = B + 40.

Then we have a system of 3 equations and 3 variables:

V + B + C = 164.

V*$2.50 + B*$9.25 + C*$0.75 = $500.

C = B + 40.

Here the first step is to replace the third equation into the other two, in this way we eliminate one variable and one equation:

V + B + (B + 40) = 164

V*$2.50 + B*$9.25 + (B + 40)*$0.75 = $500.

Now we want to isolate one variable in one of the equations, i will isolate V in the first equation:

V = 164 - 2*B - 40 = 124 - 2*B

Now i can replace this into the other equation:

(124 - 2*B)*$2.50 + B*$9.25 + (B + 40)*$0.75 = $500

Now let's solve this for B.

$310 - $5*B + B*$9.25 + B*$0.75 + $30 = $500

B*( $9.25 - $5 + $0.75) = $500 - $310 - $30

B*$5 = $160

B = 160/5 =  32

Now we know the value of B.

And by the equations above:

V = 124 -2*B = 124 - 2*32 = 60

C = B + 40 = 32 + 40 = 72.

Then:

She purchased 72 cones, 32 balls and 60 vests.

Answer:

y - 6

Step-by-step explanation:

Given

y² - 10y + 24

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the y- term (- 10)

The factors are - 4 and - 6, since

- 4 × - 6 = + 24 and - 4 - 6 = - 10, thus

y² - 10y + 24 = (y - 4)(y - 6)

Thus the other factor is (y - 6)

(y - 4) and ( y - 6 ) are the factors of the quadratic equation

The equation ax2 + bx + c=0 in one variable, with a 0, is known as a quadratic equation. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.The answer could be simple or complicated.

The roots of the quadratic equations are

x = [-b ± √ (b² - 4ac)] / ( 2a ) ( 2a )

Since (b2 - 4ac) is positive, we have two real solutions where (b2 - 4ac) is the discriminant.

When the discriminant is 0, there is just one viable option (both answers are the same)

In the case of a negative discriminant, two complicated solutions are obtained.

Let the quadratic equation be expressed as A given the data.

Right now, A is valued at

y² - 10y + 24   be equation (1)

The quadratic equations' roots are

y = [ -b ± √ ( b^2 - 4ac ) ] / ( 2a )

y = 10 ± √ ( 100 ) - ( 4 ( 24 ) ) / 2

y = ( 10 ± √4 ) / 2

y = ( 10 ± 2 ) / 2

As a result, y has two values of 10 + 2 / 2 and 6

And , y = (10 - 2) / 2 y = 4

In addition, the variables in the equation are

( y - 4 ) ( y - 6 ) = y² - 10y + 24

The quadratic equation is therefore resolved.

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Answer:

where

is

the

attachment

bruv?

Answer:

We wouldn't know because we have no information on the marbles.

Step-by-step explanation:

Answer:

Positive

Step-by-step explanation:

Two negatives make a positive.

Answer:

Equal 15

Step-by-step explanation:

2+588(357)

4-136

Answer:

(-1/64)= (-1/4)^3

Explanation:

[tex]\sqrt[3]{-\frac{1}{64} }=-\frac{1}{4}[/tex]

[tex](-\frac{1}{4})^3=-\frac{1}{64}[/tex]

Answer:

5

Step-by-step explanation:

[tex]y = 5x - 5 \\ equating \: it \: with \\ y = mx + b \\ slope \: (m) = 5[/tex]

Parallel lines have same slope.

So, slope of required line = 5

Answer:

6+3x

Step-by-step explanation:

A number will be given the variable x

So:

Answer:

3x + 6.

Step-by-step explanation:

The number is x.

Answer:

Necesitamos agregar 40 libras del café La Finca

Step-by-step explanation:

Sea x el número de libras de café de La Finca a mezclar.

Entonces, la cantidad total de libras que obtendremos en la mezcla será (x + 80) libras.

Ahora trabajemos con los precios; Tenemos x libras de La Finca a $ 5 por libra, con 80 libras de café a $ 2 por libra para dar una mezcla de (x + 80) a $ 3 Así, sumaremos el precio de La Finca más la otra variante para llegar al costo de la nueva mezcla.

Matemáticamente;

5 (x) + 2 (80) = 3 (x + 80)

5x + 160 = 3x + 240

5x -3x = 240-160

2x = 80

x = 80/2 x = 40

Answer

False

Step-by-step explanation:

Cause i got it right on edge :)

Answer:

False

Step-by-step explanation:

you multiply .042 to 63.79 because 4.2 is the percentage.

Answer:

2 m/s

Step-by-step explanation:

Notice that the slope of the time period from 0s to 20s is linear.  This means we can simply look at the distance traveled over the amount of time.  So the distance and time both start at 0.  At 20s, the distance is 40m.

So we can say the following to find the slope:

(40m - 0m) / (20s - 0s) == 40m / 20s == 2 m/s

Hence, the average speed between 0s and 20s is 2m/s.

Cheers

Answer:

25000

Step-by-step explanation:

Because you round in thousands since the 5 is in the thousandths place.

Answer:

-2x-4

Step-by-step explanation:

Just simplify

Answer:

Irving earned about $363.00 during the week.

Step-by-step explanation:

Irving’s time-and-a-half pay rate an hour =$485.54

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Payment for one hour =  $8.95

So, paid for 40 hours

=40*$8.95

= $358.00

Now for -a-half overtime

=$8.95*1.5

= $13.425

Now, for extra 9.5 hours

=$13.425*9.5

=$127.5375

Hence,  Irving’s time-and-a-half pay rate an hour

=127.5375+358.00

=$485.54

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Answer:

180 girls

Step-by-step explanation:

298-28=270

270 divided by 3 = 90

90+90 = 180

so there are 180 girls and only 90 boys

Answer:

$640

Step-by-step explanation:

Let [tex]x[/tex] equal the original price of the machine.

We know that $64 is 10% of [tex]x[/tex] because $64 is left of [tex]x[/tex] after the 90% reduction.

Set up an equation:

[tex].10x=64[/tex]

Divide by the coefficient of [tex]x[/tex], which in this case is [tex].10[/tex]

[tex]x=640[/tex]

Answer:

6.6

Step-by-step explanation:

The way to do this is to find the tax as a decimal. Worry about the 100 later.

54 * x = 3.56

Divide by 54

x = 3.56/54

x = .06593

Now use the 100

0.06592 * 100 = 6.593

But you want it rounded to the 1/10

So you should get 6.6 %

Answer:

46.818 kg

Step-by-step explanation:

First, find the surface area of your yard. This is found by multiplying the length and width.

The equation for this is (l*w)=sa

So,

l=20ft

w=17ft

(20*17)= 340 square feet.

So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.

So,

(340*1350)= 459000  flakes for the entire yard in one minute.

Since there is 60 minutes in an hour, multiply 459,000 by 60.

459,000*60= 27,540,000  new flakes in the yard per hour.

Now, to find the weight in milligrams:

27,540,000*1.7= 46,818,000  mgs

Finally, because a kilogram is equal to one million milligrams (mg),

46,818,000/1,000,000= 46.818 kg

Answer:

3/65 = 0.046 = 4.6%

Step-by-step explanation:

Notice that the total number of marbles is:

6 + 14 + 8 + 12 = 40

Then , the probability of getting a black marble first is 6/40 = 3/20

Now, since the experiment is without replacing, he is left with a total of 39 marbles in the bag, and the probability of getting a clear one is now 12/39

The total probability is the product of these two:

(3/20) x (12/39) = 3/65 = 0.046 = 4.6%

Answer: you would divide the total price of $22.20 by the amount of cartons, which is 12, giving you the unit rate of $1.85 per carton. the unit rate, $1.85 multiplied by 7 is $12.95, so it would cost $12.95 for 7 cartons of eggs

Step-by-step explanation:

Answer:

Step-by-step explanation:

the person up is right

[tex]\huge\boxed{\boxed{\bold{10\ \bftext{minutes}}}}[/tex]

[tex]\hrulefill[/tex]

First, let's change both of these times into just minutes. (We know that one hour is sixty minutes.)

[tex]\text{First time: } 1*60+25=60+25=85[/tex]

[tex]\text{Second time: } 1*60+\frac{1}{4}*60=60+15=75[/tex]

Now, just subtract:

[tex]85-75=\large\boxed{10}[/tex]

Answer:

13(n-20)=322

Step-by-step explanation:

13 times n-20 equals 322

Answer: A

Step-by-step explanation:

This picture is very blurry, but the line appears to be a solid line. Since it is a solid line, it tells us that the inequality is ≤ or ≥. We can eliminate C and D. Now, the difference between A and B is the shading. Since the shading is showing that the numbers are increasing, we know that the inequality is ≥. Therefore, A is the correct answer.

Answer:

Step-by-step explanation:

1.) (-18, -20) (18, 16)

m= 1

2.) (-7, 14) (-11, 4)

m= 5/2

3.) (-5, -4) (3, 9)

m= 13/8

4.) (13, -8) (-9, -1)

m= -7/22