let a 5 c 1 2 3 4 5 6 2 1 3 5 4 6 d and b c 1 2 3 4 5 6 6 1 2 4 3 5 d . compute each of the following. a. a21 b. ba c. ab

Answer:

go..ogle says he has hit about 79 homeruns

Step-by-step explanation:

Answer:

This question is so bad but it is most likely 25% or 0. this has no context in the question

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Given:

Team heights (inches):

61, 57, 63, 62, 60, 64, 60, 62, 63

To find: IQRs (interquartile ranges) of the heights for the team

Solution:

A quartile divides the number of terms in the data into four more or less equal parts that is quarters.

For a set of data, a number for which 25% of the data is less than that number is known as the first quartile \((Q_1)\)

For a set of data, a number for which 75% of the data is less than that number is known as the third quartile \((Q_3)\)

Terms in arranged in ascending order:

\(57,60,60,61,62,62,63,63,64\)

Number of terms = 9

As number of terms is odd, exclude the middle term that is 62.

\(Q_1\) is median of terms \(57,60,60,61\)

Number of terms (n) = 4

Median = \(\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{60+60}{2}=\frac{120}{2}=60\)

So, \(Q_1=60\)

So, 25% of the heights of a team is less than 60 inches

\(Q_3\) is the median of terms \(62,63,63,64\)

Median = \(\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{63+63}{2}=\frac{126}{2}=63\)

So, \(Q_3=63\)

So, 75% of the heights of a team is less than 63 inches

Interquartile range = \(Q_3-Q_1=63-60=3\)

The interquartile range is a measure of variability on dividing a data set into quartiles.

The interquartile range is the range of the middle 50% of the terms in the data.

So, 3 is the range of the middle 50% of the heights of the students.

Answer:

287.32

Step-by-step explanation:

861.96 ÷ 3 = 287.32

The measure of three angles of triangle are 45°, 55° and 80°.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Let the smallest angle of triangle be x.

One angle the triangle measures 10° greater the smallest angle, that is x+10°

The third angle measures 10° less than twice the smallest angle.

The third angle is 2x-10°

Now, x+2x-10°x+10°=180°

⇒ 4x=180°

⇒ x=45°

So, 2x-10°=80° and x+10°=55°

Therefore, the measure of three angles of triangle are 45°, 55° and 80°.

To learn more about the angle sum property of a triangle visit:

https://brainly.com/question/8492819.

#SPJ1

Answer:

hmmmmmmmmmmmmmmmmmmmmmmmmmmm

The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

For more such questions on function, click on:

https://brainly.com/question/11624077

#SPJ8

Answer: x = 4

Step-by-step explanation:

Distribute the 3 and the 9

\(3(x+2)=9(6-x)\\3x+6=54-9x\)

Add 9x to both sides

\(12x+6=54\)

Subtract 6 on both sides and simplify

\(12x = 48\\x=4\)

Answer:

x=4

Step-by-step explanation:

3 (x+2) = 9 (6-x)

3x + 6 = 54 - 9x

     -6  =  -6

3x = 48 - 9x

+9x        +9x

12x = 48

/12     /12

x = 4

Answer:

C

Step-by-step explanation:

the whole chart represents 100% (45% + 15% + 40%)

given

15% → 45 students , then

1% = \(\frac{45}{15}\) = 3 students , so

100% = 100 × 3 = 300 students

Step-by-step explanation:

1 , 14x=-6+21

14x=15 , divide both sides by q4 to get the value of x

x=15/14

2 , x1=x

-x=9-12

-x=-3 , divide both side by -1

x=3

3, 13x=6_61

13x= 55 , divide both sides by 13

x=55/13

4, 1-2x+81=1+81_2x

82_2x=0

-2x=-82 , divide both sides by -2

x=41

So, all of them have a solution

Answer:

b

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Pa follow po na log out kasi ang isa kong brainly

The unknown angle in the cyclic quadrilateral is as follows:

m∠CML = 109 degrees

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees.

Therefore, let's find m∠CML as follows:

Using the arc angle and opposite angle of a quadrilateral theorem,

6x + 25 = 1 / 2 (7x + 14 + 106)

6x + 25 = 1 / 2(7x + 120)

6x + 25 = 7 / 2 x + 60

6x - 7 / 2 x  = 60 - 25

6x - 3.5x = 35

2.5x = 35

divide both sides by 2.5

x = 35 / 2.5

x = 14

Therefore,

m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees

learn more on cyclic quadrilateral here: https://brainly.com/question/14352697

#SPJ1

Answer:

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = x

           b = 8/2 = 4  

           c = √20

plugin values into the formula:

x² + 4² = (√20)²

x² + 16 = 20

x² = 20 - 16

x = √4

x = 2

Answer:

The decision rule is

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to conclude that the  mean size of California homes exceeds the national average

Step-by-step explanation:

From the question we are told that

    The  population  mean is  \(\mu = 2390 \ ft^2\)  

    The sample size is  n  =  100

     The sample mean is  \(\= x = 2 507 \ ft^2\)

      The standard deviation is  \(s = 257 \ ft^2\)

      The level of significance is  \(\alpha = 0.01\)

The  null  hypothesis is  \(H_o : \mu = 2390\)

The  alternative hypothesis is  \(H_a : \mu > 2390\)

Generally the test statistics is mathematically represented as

        \(z = \frac{ \= x - \mu }{ \frac{s}{ \sqrt{n} } }\)

=>      \(z = \frac{2507 - 2390 }{ \frac{ 257 }{ \sqrt{100 } } }\)  

=>      \(z = 4.55\)

From the z table  the area under the normal curve to the left corresponding to  4.55  is  

         \(p-value = P( X > 4.55 ) = 0.00\)

From the value obtained we see that  \(p-value < \alpha\) hence

The decision rule is

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to conclude that the  mean size of California homes exceeds the national average

Answer:

What are the Factors of 47? The factors of 47 are 1, 47 and its negative factors are -1, -47.

Step-by-step explanation

Answer:

1. The scale factor here is 1.5

2. The scale factor here is 2/3

Step-by-step explanation:

Here, we shall be dealing with scales of triangles.

we have two triangles;

ABC and DEF

longest sides are in the ratio;

12 : 8

1. What scale factor translates DEF to ABC?

The ratio of the length can be beaten down to 3:2

So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC

So the scale factor here is 1.5

2. This is like the other way round of what we have above.

By multiplying the sides of ABC by 2/3, we shall have the sides of DEF

The quadratic formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant b^2 - 4ac is either positive or zero .

Given :

the quadratic formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant, is .

Quadratic equation :

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0.

Formula :

= -b ± \(\sqrt{b^2 - 4ac / 2a}\)

Discriminant = b^2 - 4ac

if b^2 - 4ac = 0 or positive value then only the formula give us the coordinates of the points of intersection of a line .

Learn more about the quadratic here:

https://brainly.com/question/22364785

#SPJ4

The number of square meters that the space that Araceli rents is, is 30. 66 square meters.

The space that Araceli rents has a rectangular space so to find the area of the rectangular space that Araceli rents, we need to multiply the length by the width.

The given width is 4. 2 meters and the length is 7. 3 meters.

The area of the space in square meters is therefore :

Area = Length × Width

Area = 7. 3 meters × 4. 2 meters

Area = 30. 66 square meters

In conclusion, the space that Araceli rents has an area of 30. 66 square meters.

Find out more on area at https://brainly.com/question/2129070

#SPJ1

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

Know more about volumes,

https://brainly.com/question/17101095

#SPJ1

Answer:

1) 9x

2) 3b

3) 3m

4) 5a

5) 7x

6) 3a + 5b

7) 9x - 4

8) 2b + m

9) 13a + b + 6c

10) 9b + 1

11) 7p

12) 2a + b -10

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

There are 20 fish, 8 of which are small and blue.  Therefore, the probability of randomly selecting a small blue fish is 8/20 = 2/5.

Step-by-step explanation:

what are the expressions?

Answer:

Given number = 0.44

Find how many times the value of the hundredths place digit to the value of the tenths place digit.

=> Since this is a decimal number, I believe, the value you mean is tenths and hundredths, not tens and hundreds.

Now, how many times is the value of each digit differs from each other:

The answer is 10 times

=> 4 hundredths x 10 = 4 tenths

=> 0.04 x 10 = 0.4, which is correct

Step-by-step explanation:

Answer:

y=-3/2 x + 6Step-by-step explanation:

The algebraic rule for the transformation is B' = (Bx + 15, By - 12)

Given data ,

To determine the algebraic rule for the transformation from point B to point B', we need to find the equations that relate the coordinates of the preimage point B to the image point B'.

Let's denote the translation amounts in the x-direction and y-direction as (dx, dy). The coordinates of B' can be obtained by adding these translation amounts to the coordinates of B:

B' = (Bx + dx, By + dy)

Given that B is located at (5, -4) and B' is located at (20, -16), we can calculate the translation amounts:

dx = 20 - 5 = 15

dy = -16 - (-4) = -12

Hence , the algebraic rule for the transformation is B' = (Bx + 15, By - 12)

To learn more about translations click :

https://brainly.com/question/19007400

#SPJ1

Answer:

The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.

Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:

y = 40,000(0.93)^3

where y is the value of the boat after three years, and 40,000 is the initial value of the boat.

Simplifying this equation, we get:

y = 40,000(0.7951)

y = 31,804

However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.

To find the correct equation, we can use the formula for exponential decay:

y = a(1 - r)^t

where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.

In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.

So we can set up an equation:

32,174.28 = 40,000(0.93)^3

Simplifying this equation, we get:

32,174.28 = 31,804.00

This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:

y = 40,000(0.93)^t

where t is the time in years.

Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.

To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.

From the given mapping diagram, we can see that:

The input value -3 is associated with the output value 0.

The input value -1 is associated with the output value 2.

The input value 1 is associated with the output value 0.

The input value 3 is associated with the output value 2.

The input value 5 is associated with the output value 5.

As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.

for such more question on mapping diagram

https://brainly.com/question/27991506

#SPJ11