simplify
x2 + 6 − (3x2 − 2x − 5)

Answer:

{ 11, 19, 27, 35 }

Step-by-step explanation:

To find the range substitute each value of x from the domain into the relation

x = 3 : y → 4(3) - 1 = 12 - 1 = 11

x = 5 : y → 4(5) - 1 = 20 - 1 = 19

x = 7 : y → 4(7) - 1 = 28 - 1 = 27

x = 9 : y → 4(9) - 1 = 36 - 1 = 35

range is { 11, 19, 27, 35 }

Given:

The data values are:

21, 32, 17, 24, 15, 30, 28 and 26.

To find:

The first quartile, third quartile, and interquartile range.

Solution:

We have,

21, 32, 17, 24, 15, 30, 28, 26

Arrange the data values in ascending order.

15, 17, 21, 24, 26, 28, 30, 32

Divide the data set in two equal parts.

(15, 17, 21, 24), (26, 28, 30, 32)

Divide each parenthesis in two equal parts.

(15, 17), (21, 24), (26, 28), (30, 32)

Now, the first quartile is:

[tex]Q_1=\dfrac{17+21}{2}[/tex]

[tex]Q_1=\dfrac{38}{2}[/tex]

[tex]Q_1=19[/tex]

The third quartile is:

[tex]Q_3=\dfrac{28+30}{2}[/tex]

[tex]Q_3=\dfrac{58}{2}[/tex]

[tex]Q_3=29[/tex]

The interquartile range is:

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=29-19[/tex]

[tex]IQR=10[/tex]

Therefore, the first quartile is 19, third quartile is 29 and the interquartile range is 10.

Answer:

Step-by-step explanation:

z-score representing 85% is 1.04 (from table)

Let x be the score representing the lower limit of 85%.

Use the formula to find z-scores:

We have:

Substitute the values and solve for x:

The lower limit of the top 15% is 85.28.

Since your score is greater than 85.28 you earned an A

Explanation:

Statements 2 through 3 set up the "S" parts of "SAS", which are the two congruent pairs of sides. Then between those sides is the angle "A", which is what statement 1 refers to. The order is important because SAS is a valid congruence theorem but SSA is not a valid congruence theorem. So the angle must be between the sides.

Answer:

75˚ + 105˚ = 180˚

Step-by-step explanation:

75 + 105 =

180

Hope this helps!

Answer:

gyufigaruofhasidjfdskcm

Step-by-step explanation:

Answer: 187

Step-by-step explanation:

negative cancels negative so that will turn to positive. (-) x (-) = +

100- (-87)

=

100 + 87

= 187

Answer:

187

Step-by-step explanation:

100 - (-87)

100 + 87

187

PLZ MARK as BRAINLIEST

Answer:

0.22222222222222

Step-by-step explanation:

Answer:

2a & 5a

Step-by-step explanation:

I don't know I guessed dont input the answers i said

Answer:

A. 0.25 inches

B. 0.125 inches

Step-by-step explanation:

A.

The smallest increment is represented by 1/4. Converting this into decimal form would make this 0.25.

Work:

1/4 = x/100

1 × 100 = 4 × x

100 = 4x

25 = x

25/100

0.25

B.

The uncertainty is what is not labeled on the ruler. We know 0.25 (1/4), 0.50 (2/4), and 0.75 (3/4) are labeled on the ruler. Out of all the options, 0.125 is not labeled. Therefore, 0.125 is the uncertainty.

Answer:32-20=12

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

60% higher than Travis

Answer:

i think its contrast

Step-by-step explanation:

it s sayin this awncer is equal to the other one.

Answer:

No, the absolute value of a number is different from the opposite.

Step-by-step explanation:

For example, the absolute value of 4 is 4.

l4l = 4

But the opposite of 4 is -4.

Absolute value is ALWAYS positive, but the opposite of a positive number is a negative number.

Step-by-step explanation:

let the percent of found balloons be x

given,

total number of balloons= 70

number of found balloons= 28

according to the question,

x% of 70= 28

x/100 × 70 = 28

x=40

hence 40% of the balloons were found

Step-by-step explanation:

The Triangle Sum Theorem states that the interior angles of a triangle add up to 180 degrees. A square for an angle symbolizes that the angle is 90 °, as is the case with angle ∠ACB.

Therefore, as ∠CAB = 2x and ∠ABC = 3x, and angles ∠ACB, ∠CAB, and ∠ABC make up the interior angles of the triangle, we can say that ∠ACB + ∠CAB + ∠ABC = 180, so 90 + 2x + 3x = 180

90 + 2x + 3x = 180

90 + 5x = 180

subtract 90 from both sides to separate the x and its coefficient

5x = 90

divide both sides by 5 to separate the x

x = 18

(a) ∠CAB = 2x = 18(2) = 36

(b) ∠ABC = 3x = 18(3) = 54

(c) Any triangle with a 90° angle is called a right triangle. This has a 90° triangle, and is therefore a right triangle. Similarly, a 90° angle in a triangle is called a right angle.

Answer:

[tex]a_{n} = 600/2^{n-1}[/tex]

This the correct answer

Answer:

a) p = 28/100    p  =  0,28      or     p  =  28%

b) SE = 0,0448

c) CI 95 %  =  ( 0.1921 ; 0.368 )

We can support with 95 % of confidence that the proportion of people with a College degree would be found within these limits

Step-by-step explanation:

a) Sample proportion:  Is the number of positive success divide by sample size

That is from 100 ( individuals) ( sample size ) it was found that 28 had College degree  ( positive success)

Then p = 28/100    p  =  0,28      or     p  =  28%

b) The standard error is

SE =  (√p*q)/n

p = 0,28   then  q =  1  -  0,28     q  =  0,72

SE =   √ (0.28)*(0.72)/100

SE =  √0.002016

SE = 0,0448

c) CI =  95 %     then  significance level is  α =  5 %    α = 0.05  

α/2 =  0.025

From z- table we find z(c)  = 1.96

Then  CI 95 %  =  p₀  ±  z(c) * SE

CI 95 %  =  0.28  ±  1.96*0.0448

CI 95 %  =  ( 0.28 ±  0.088 )

CI 95 %  =  ( 0.1921 ; 0.368 )

d) We can support with 95 % of confidence that the proportion of people with college degree would be found within these limits

Answer:

m<UVW = 156°

Step-by-step explanation:

Given:

m<PVW = 130°

m<UVP = 26°

Required:

m<UVW

Solution:

m<UVP + m<PVW = m<UVW (Angle Addition Postulate)

Substitute in the given values

26° + 130° = m<UVW

156° = m<UVW

m<UVW = 156°

Answer: 4

Step-by-step explanation:

Using the 30°-60°-90° Triangle Theorem we know that the base side is half of the hypotenuse. That means it is half of 8 which is 4

Answer:

≈ 3.91π in.

Step-by-step explanation:

IT is given that ∠APC = 92 and PB = 8 in. The arc length of AD is ≈ 3.67π in.

Arc length is defined as the distance between two points along a section of a curve.

IT is given that

∠APC = 92 and PB = 8 in

As ∠APC and ∠APD are formed in linear pairs.

So,  

∠APC + ∠APD = 180∘

∠APD = 180 -  ∠APC

∠APD = 180∘ − 92∘

∠APD = 88∘      

Now, the length of the arc will be,

= Ф/360 2πr

= 88/360 x 2 x π x 8

=88/360 x 16π

=352/90  x π

≈ 3.91π in.

Hence, the arc length of AD is ≈ 3.91π in.

Learn more about Arc length here:

brainly.com/question/16403495

#SPJ2

Answer:

The Pythagoras theorem is a mathematical

law that states that the sum of squares of

the lengths of the two short sides of the

right triangle is equal to the square of the

length of the hypotenuse.

Step-by-step explanation:

a^2+b^2=c^2

Answer:

Option C

Step-by-step explanation:

Barrel (storage container) is enclosed in a small square fence.

Since, barrel is touching the surfaces from four sides of the cylindrical barrel.

Length of each side of the square fence = Diameter of the barrel

                                                                   = 2(radius of the barrel)

                                                                   = 2(1.5)

                                                                   = 3 feet

Perimeter of a square = 4(Side of a square)

                                     = 4(3)

                                     = 12 feet

Therefore, Option C will be the correct option.

You didn't include a picture of the answer choices, but this is what the answer would look like. Pretend the different shapes represent different rows:

ΔΔΔΔ

ββββ

αααα

There are three rows. 4 Books in each row.

Answer:

81

Step-by-step explanation:

RZT = 137

RZS = 56

SZT = 137 - 56 = 81

Answer:

Pedro: 1481 Base hits

Ricky: 1198 Base hits

Step-by-step explanation:

First, take the total amount of base hits last season 2679, then subtract how many more Pedro has 283.

2679 - 283 = 2396 now divide the sum in half  2396 ÷ 2 = 1198 that gives you how many each player has, you're then going to add the amount that you took off to only Pedras total since he had 283 more

Pedro: 1198 + 283 = 1481

Ricky: 1198

Answer: 3) 772.5 kg

Step-by-step explanation: That's what I got and I'm 100% sure that's the answer

Answer:

The answer 772.5

Step-by-step explanation:

You would use the density formula to figure out the mass.

Density = mass/volume

We have the density of helium (0.1785) and the volume of how much the hot air balloon can hold (4,328).

0.1785 = x / 4,318

0.1785 * 4,318 = x

772.548 = x

Then rounded to the nearest tenth would be 772.5, the third option.

Answer:

i think its A or C so im gonna say C if not im soooooooooooooooooo sorry <3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Say the point below point B is point C.

AB belongs to triangle ABC.

To find hypotunuse AB, we need BC and AC so that we can use pythagorean thereom.

BC is already given --> 1.

AC is a diagonal of the rectangular prisms's base.

We already have 2 sides for the triangle that the base diagonal belong's to.

AC^2 = 4^2 + 6^2

AC^2 = 16 + 36 = 52

AC = √52

Now we have AC ad BC. We can find AB using pythagorean thereom.

AC^2 + BC^2 = AB^2

(√52)^2 + (1)^2 = AB^2

52 + 1 = AB^2

AB^2 = 53

AB = √53

option B

Answer:

19.1628873772

Step-by-step explanation:

50.70500 ÷ 2.64600 = 19.1628873772

Answer:

[tex]225\:\text{minutes}[/tex]

Step-by-step explanation:

To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.

In 10 minutes, the junior senator can complete [tex]\frac{10}{50}=\frac{1}{5}[/tex] of the labyrinth.

In 10 minutes, the senior senator can complete [tex]\frac{10}{30}=\frac{1}{3}[/tex] of the labyrinth.

Therefore, working together, they can complete [tex]\frac{1}{5}+\frac{1}{3}=\frac{8}{15}[/tex] of the labyrinth in 10 minutes. Thus, it will take them [tex]\frac{15}{8}\cdot 10 \text{ minutes}=18.75\:\text{minutes}[/tex] to complete one labyrinth.

The amount of time it take them to complete 12 labyrinths is then [tex]18.75\cdot 12 =\boxed{225\:\text{minutes}}[/tex]