What is the value of b?

Answer:

0.95

Step-by-step explanation:

[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]

[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]

Answer:

1.  180°   ∑triangle angles=180°

2. 2x

3. 52°

Answer : what do i answer

Step-by-step explanation:

the answer is B

your welcome

Answer:

B

Step-by-step explanation:

3+5+7=3+7+5

Answer:

la forma por el vector -1 5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

The average speed of the athlete for the entire competition is approximately 21.23 km/hr

Step-by-step explanation:

The given parameters of the athlete performance in the triathlon are;

The length the athlete swims = 750 m = 0.75 km

The time the athletes spends swimming = 15 minutes = 0.25 hours

The speed with which the athlete cycles = 40 km/hr.

The time the athletes spends while cycling = 30 minutes = 0.5 hours

The distance the athlete ran = 5 km

The average speed with which the athlete ran = 3 m/s = 10.8 km/hr.

The formula for average speed, s is Average speed = Total distance/(Total time)

The distance, ∑d, the athlete covered in the entire competition is given as follows;

∑d = 0.75 km + 0.5 hr. × 40 km/hr. + 5 km = 0.75 km + 20 km + 5 km = 25.75 km

The distance, ∑t, the athlete spends in the entire competition is given as follows;

∑t = 0.25 hr. + 0.5 hr. + 5 km/(10.8 km/hr.) = 0.25 hr. + 0.5 hr. + 0.463 hr. ≈ 1.213 hr.;

Therefore;

The average speed of the athlete for the entire competition, s = ∑d/∑t = 25.75 km/(1.213 hr.) ≈ 21.23 km/hr.

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

Answer:

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

so i thin is 38.00 why because te  inequality

Answer:

60000 + 3000 + 29

Step-by-step explanation:

The Standard form of 63029 is

60000 + 3000 + 29

-TheUnknownScientist

Given :

Susan wanted to share her 37 seashells with her two younger brothers.

To Find :

If she divided her seashells between the three of them, how many would each person get.

Solution :

Let, each person will get x seashells.

So,

[tex]x = \dfrac{\text{Total number of seashells}}{\text{Number of persons}}\\\\x = \dfrac{37}{3}\\\\x = 12.333[/tex]

But as we know seashells cannot be in decimal.

Therefore, each person will get exactly 12 shells.

Answer:

The answer is C i think  not that sure

Step-by-step explanation:

9514 1404 393

Answer:

  -4 < y < 4 and y < -3/2x +2

Step-by-step explanation:

The boundary line crosses the y-axis at y=2. It intersects another grid point 2 units to the right and 3 units lower than that, so it has a slope of ...

  m = rise/run = -3/2

This means we can write the boundary line equation as ...

  y = mx + b

  y = -3/2x +2

__

We notice that the line is dashed, and shading is below it. This means the shaded area will satisfy the inequality ...

  y < -3/2x +2

We also notice that the range of the graph is from y = -4 to y = +4, so we must have ...

  -4 < y < 4 and y < -3/2x +2

Answer:

Step-by-step explanation:

Given:

a= -3i

g=2i - 1lj

Solve:

-a - g

If l is an L then

-(-3i) - (2i-1lj)

i + lj

If I is an i then

-(-3i) - (2i-1ij)

i + ji

Answer:

Step-by-step explanation:

[tex]\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }[/tex]

Answer:

The answer is B.

Step-by-step explanation:

12y5−8y3+24y2

=4y2(3y3−2y+6)

Answer:

if you are asking 20% of 80, then its 16

Step-by-step explanation:

0.2 x 80 = 16

Answer:

25

Step-by-step explanation:

25

Percentage Calculator: 20 is what percent of 80? = 25.

Answer:

-328/34

Step-by-step explanation:

Here,

Perimeter of rectangle = 6(12x+5)

Perimeter of equilateral triangle = 4(x-2)

Since they are equal, 6(12x+5) = 4(x-2)

or, 72x + 30 = 4x - 8

or, 68x = -38

or, x= -38/68 or -19/34

Now,

Area of triangle ( or rectangle whichever you prefer)

= 4* -19/34 - 8

= -76/34 - 8

= - 328/34

Answer:

y int is (0,5)

slope is m=-2

y=-2x+5

Step-by-step explanation:

The line has a slope of -2 and a y-intercept of y=4. (y=-2x+4)

Explanation: You can tell by where the line is landing on the x and y intercepts and it's as easy as counting lines. As far as the y-intercept goes, you can tell that by looking where the line crosses the y axis. And in this case it's (0,4) making your y-intercept, y=4.

Answer:

See answers below

Step-by-step explanation:

The Bisector Angle Theorem basically states that if a bisector cuts the middle of an angle, the two angles that it creates will be equal to each other.

Therefore:

#7 -> x=38

#8 -> x=144

#9 -> 2x=84 -> x=42

#10 -> x+3=30 -> x=27

Answer:

The probability that there is at least one pair but not a three of a kind is 0.6944.

Step-by-step explanation:

We have the case when we have five dices and we roll them and we need  that there is at least one pair but not a three of a king which is Two dice showing the same value, but no three dice showing the value.

Total no of outcomes = [tex]6^5 = 7776[/tex]

We will consider the other cases and then subtract them from the total outcomes.

No of outcomes of 5 of a kind = 6

No of outcomes 4 of a kind and 1 different = (6*5)*5 = 150

No of outcomes with 3 of a kind and 1 different pairs = (6*1*1*5*1)*5C2= 300

No of outcomes with 3 of a kind and two different = 6*5*4*10= 120*10=1200

No of outcomes when all are different = 6! = 720

These all the cases when subtracted from the total will represent the total cases in which there are two dice showing the same value.

Total cases = 6+150+300+1200+720

                   = 2376

Required no of outcomes = 7776-2376 = 5400

Probability = [tex]\frac{5400}{7776}[/tex] = 0.6944

Therefore the probability for the case of at least one pair but not a three of a kind is 0.6944.

Answer:

8% compounded monthly has higher yield

Step-by-step explanation:

Here, we want to compare which of the two options would give a higher yield

An interest rate of 8% compounded monthly or 8% compounded annually

Let us say we are looking at a time frame of two years

If compounded monthly, since there are 12 months in a year, there would have been a compounding of 12 * 2 = 24 times

While if it is annual, we would have only twice

The higher the number of times we compound, the more the return

Answer:

x - 2

Step-by-step explanation:

[tex] \frac{ {x}^{2} - 12x + 20}{x - 10} \\ \\ = \frac{ {x}^{2} - 10x - 2x + 20 }{x - 10} \\ \\ = \frac{x(x - 10) - 2(x - 10)}{(x - 10)} \\ \\ = \frac{(x - 10)(x - 2)}{(x - 10)} \\ \\ = x - 2[/tex]

Answer:

Christine has completed 35% of her total deliveries.

Step-by-step explanation:

To find the answer, you can use a rule of three considering that as Christine needs to make a total of 40 deliveries this week, this would represent 100% and with this you can find the percentage that the 14 deliveries completed represent:

40 → 100%

14  →    x

x=(14*100)/40=35%

According to this, the answer is that Christine has completed 35% of her total deliveries.

Answer:

11/200

Step-by-step explanation:

5.5% = 5.5/100 = 0.055

0.055 1000

———- X ———

1 1000

=55/1000

=11/200

Answer:

2/12 is equivalent fraction for 2/3 divided by 4

Step-by-step explanation:

2

3

&

4

2

3

÷

4= ?

step 2 Multiply 2/3 with reciprocal of 4

=2

3

x1

4

=2

12

The Quotient is 1/3.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2/3 divided by 4

As, division is not possible in fraction so we will perform the multiplication

= 2/3  ÷ 4

= 2/3 x 1/4

= 2/6

= 1/3

Learn more about Division here:

https://brainly.com/question/21416852

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