What type of data distribution is shown on the graph?

Answer:

x=5/3log(3) -1

x=2.949317

Step-by-step explanation:

reorder terms

3log(3)x(x+1)+5

distribute 3log(3)

3log(3)x+3(log)=5

Move constant to the right

3log(3)x=5-3log(3)

Divide both sides by 3log(3)

x=5/3log(3) -1

Solve 3log(3)

3log(3)= 3.949317

3.949317-1=2.949317

Answer:

( -3, 1)

........

Answer:

(-3, 1)

Step-by-step explanation:

The point lies on the line x = -3.

The point lies on the line y = 1.

Where both lines intersect, that is the coordinate.

(x, y)

(-3, 1)

Answer:

-i^5=-i

Step-by-step explanation:

rewrite the equation ;

i^4=1

I^4 *-i = 1*-i=-i

Answer: 11.3

Step-by-step explanation:

To find the distance, we will need the distance formula.

[tex]D=\sqrt{(x_{2}-x_{1} ) ^2+(y_{2}-y_{1})^2 }[/tex]

Since we know our x and y, we can plug them into this equation.

[tex]D=\sqrt{(5-(-3))^2+(1-9)^2}[/tex]

[tex]D=\sqrt{(8)^2+(-8)^2}[/tex]

[tex]D=\sqrt{64+64}[/tex]

[tex]D=\sqrt{128}[/tex]

[tex]D=11.3[/tex]

The distance between the points is 11.3.

Answer:

B

Step-by-step explanation:

The option (A) (1/2)mQRS = ∠T is correct because the measure of an inscribed angle is one-half the measure of its intercepted arc.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have:

Rahim is constructing a proof to show that the opposite angles of a quadrilateral inscribed in a circle are supplementary.

From the central angle theorem:

(1/2)mQRS = ∠T because the measure of an inscribed angle is one-half the measure of its intercepted arc.

Thus, the option (A) (1/2)mQRS = ∠T is correct because the measure of an inscribed angle is one-half the measure of its intercepted arc.

Learn more about circle here:

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Answer:

Reduce every dimension except thickness by 20%.

The requried new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.

To find the dimensions of the new candy bar after reducing the volume by 20%, we need to determine the reduction in length and width.

Let's start by calculating the original volume of the candy bar using the formula: volume = length × width × thickness.

Original volume = 13 cm × 7 cm × 2 cm = 182 cm³

Since the management wants to reduce the volume by 20%, we need to find 20% of the original volume and subtract it from the original volume.

20% of 182 cm³ = 0.2 × 182 cm³ = 36.4 cm³

Reduced volume = 182 cm³ - 36.4 cm³ = 145.6 cm³

Now, we need to determine the new dimensions while maintaining the 2 cm thickness.

Let's assume the reduction in length and width is x cm for both dimensions.

The new volume can be calculated using the formula:
volume = (length - x) × (width - x) × thickness.

Setting this equal to the reduced volume, we have:

(13 - x) × (7 - x) × 2 = 145.6

Simplifying and rearranging the equation, we get:

(91 - 20x + x²) = 72.8

x² - 20x + 18.2 = 0

Using the quadratic formula, we can solve for x:

[tex]x = \dfrac{-(-20)\pm \sqrt{(-20)^2- 4(1)(18.2)}} {2(1)}\\x = \dfrac{20 \pm \sqrt{400 - 72.8}} {2}\\x =\dfrac {20 \pm \sqrt{327.2}} {2}[/tex]

x ≈ (20 ± 18.09) / 2

Taking the positive value, we have:

x ≈ (20 + 18.09) / 2

x ≈ 19.045 / 2

x ≈ 9.5225

Since the dimensions cannot be negative, we discard the negative value.

Therefore, the reduction in length and width is approximately 9.5225 cm.

To find the new dimensions, we subtract this value from the original length and width:

New length = 13 cm - 9.5225 cm ≈ 3.4775 cm

New width = 7 cm - 9.5225 cm ≈ -2.5225 cm (discard as it is negative)

Therefore, the new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.

Learn more about dimensions here:

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Answer:

a) 1/3

b) 7/9

Step-by-step explanation:

The first part asks for the probability that Matt takes the red counter.

There are 6 red counters out of total 6+4+8 = 18 counters.

6/18

Simplify the fraction.

= 1/3

The second part asks for the probability that the counter is not blue.

The counters that are blue are 4. Not blue becomes 18-4 = 14. 14 red or green counters out of total 18.

14/18

= 7/9

Answer:

Total outcome =  6 + 4 + 8 = 18

a) Probablity that the counter is red = 6/18 = 1/3

b) Probablity that the counter is blue = 14/18 = 7/9

Answer:

What are Confidence Intervals in Statistics? By Saul McLeod, published June 10, 2019.

Step-by-step explanation:

The confidence interval (CI) is a range of values that's likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval. hope this helps you :)

Answer:

⇒ x = 3.4975

Step-by-step explanation:

Assume cost of each figure = x

Given:

32x + 2.32 = 114.24

Find:

Value of x

Computation:

⇒ 32x + 2.32 = 114.24

⇒ 32x = 114.24 - 2.32

⇒ 32x = 111.92

⇒ x = 111.92 / 32

⇒ x = 3.4975

Answer:

Step-by-step explanation:

Each of the functions is defined for all values of x, so the mathematical domain is "all real numbers."

The width must be greater than 0, and the length is limited to 52 cm, so the restrictions on the reasonable domain are ...

  0.5x -2 > 0

  x > 4

__

  2x +2 ≤ 52

  x +1 ≤ 26

  x ≤ 25

The reasonable domain is (4, 25] cm. The reasonable domain is a subset of the mathematical domain.

Answer:

No change in angle it will remain 6 degrees only.

Step-by-step explanation:

measurement of angle on paper = 6 degrees

power of magnifying glass = a*6

it means that the glass enlarges any thing seen through it by 6 times.

so if you are watching 1 cm object, it will be 1*6 times larger (i.e 6 cm) when seen through the magnifying glass.

It is to be noted that glass changes the size of the object, it does not change the shape of object. Th object will remain similar to the older one.

________________________________________________

Now given that

measurement of angle on paper = 6 degrees

This is a tricky question, here change of size of object is not being asked .

Since angle determines the shape of object , so angle will remain similar to as that on paper only size will get enlarged.

Hence, the measure of angle will remain same i.e 6 six degrees only. It will not change.

only thing will be that the shape of angle will appear larger but there will be no impact on angle.

Answer:

Bentley got $20 for her allowance.

Step-by-step explanation:

Answer:

[tex]-\frac{9}{14}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}*-\frac{6}{7}\\\\\frac{3}{2} *\frac{3}{7} \leftarrow \text{Cross Cancel Common Factor}\\\\ -\frac{3*3}{2*7}\\\\-\frac{9}{14}[/tex]

Answer:

negative 9/14

Step-by-step explanation:

Answer:

3 is not in the domain of [tex]f\circ g[/tex].

Step-by-step explanation:

The given functions are

[tex]f(x)=\sqrt{x+5}[/tex]

[tex]g(x)=-4x+4[/tex]

We need to check whether 3 is in the domain of [tex]f\circ g[/tex] or not.

[tex]f\circ g=f(g(x))[/tex]

[tex]f\circ g=f(-4x+4)[/tex]     [tex][\because g(x)=-4x+4][/tex]

[tex]f\circ g=\sqrt{(-4x+4)+5}[/tex]     [tex][\because f(x)=\sqrt{x+5}][/tex]

[tex]f\circ g=\sqrt{-4x+9}[/tex]

This function is defined if

[tex]-4x+9\geq 0[/tex]

[tex]9\geq 4x[/tex]

[tex]\dfrac{9}{4}\geq x[/tex]

It means domain of the function [tex]f\circ g[/tex] is [tex](-\infty,\dfrac{9}{4}][/tex].

[tex]3\notin (-\infty,\dfrac{9}{4}][/tex]

Therefore, 3 is not in the domain of [tex]f\circ g[/tex].

Answer:

solution,

[tex](2 + 3 \times 2 + {3}^{2} ) - {4}^{2} \\ = (2 + 6 + 9) - 16 \\ = 17 - 16 \\ = 1[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

1

Step-by-step explanation:

Multiply  

3  by  2 . 2 + 6 + 3 2 − 4 2 Raise  3  to the power of  2 . 2 + 6 + 9 − 4 2 Raise  4 to the power of  2 . 2 + 6 + 9 − 1 ⋅ 16 Multiply  − 1  by  16 . 2 + 6 + 9 − 16

Simplify by adding and subtracting.

Add  2  and  6 . 8 + 9 − 16 Add  8  and  9 . 17 − 16  Subtract  16  from  17 .

1

Answer: A

Step-by-step explanation:

it's easy

Answer:

3 boys may be answer of this question

Answer:

19/44

Step-by-step explanation:

19 boys

25 girls

19+25=44 (red hair)

19/44

Answer:

x=65

Step-by-step explanation:

x/5 - 2 = 11

x/5= 11+2

x/5=13

x=13×5

x=65

Answer:

Step-by-step explanation:

Question = x/5 - 2 = 11

1. Isolate the variable

x/5 - 2 = 11

    + 2   + 2

x/5 = 11

2. Remove the fraction

x/5 = 11

*5      *5

3. Simplify

x = 55

The answer is x = 55.

Hope this helped,

Kavitha

Answer:

3.625 is ans

Step-by-step explanation:

4.5+0.25_+1.125=3.625

Step-by-step explanation:

this is your answer sis ...

Answer: y=1/2x−2

Step-by-step explanation:

Answer:

The correct option is;

DE/PQ = 3/2 which is StartFraction DE Over PQ Endfraction = three-halves

Step-by-step explanation:

The information given bout the triangles are;

DF/PR = FE/RQ = 3/2

Therefore since the given sides of triangle DEF are 3/2 times the sides of triangle PQR, the given sides of triangle DEF have been scaled 3/2 times to get the given sides of triangle PQR

Therefore, to prove that ΔDEF ~ ΔPQR, the ratio of the third side of triangle DEF, that is DE, to the third side of triangle PQR, which is PQ must be three-halves.

Answer:

The answer is  DE/PQ = 3/2 or D.

Step-by-step explanation:

Just did it on edge. hope you do good :)

Answer:

C) 105

Step-by-step explanation:

The box plot suggests that about 50% of hight schools in orange county have more than 105 band members.

This can be inferred from the boxplotvprovided in the attachment. 50% refers to the median of the distribution which is denoted by the vertical line dividing the box into two. Tracing the vertical line to the horizontal label marked from 70 to 150, the vertical line falls on the 105 mark. Hence the value of the median or 50th percentile

Answer:

the one with 12, 18, 22

Step-by-step explanation:

in the first one, 9-3=6 and 6-3=3 so -3 is the constant of the proportionality

in the second one 3-1=2, 2-1=1 so here the constant of proprtionality is -1

in the third one 16+2=18, 18+2=20 so the constant of proportionality is 2

fourth one 4 + 0.5= 4.5 and 4.5+0.5= 5, constant of proportionality is 0.5

fifth one 12+6=18, but 18+6=24

and the rest are all proportional

Answer:

12, 18, 22

Step-by-step explanation:

Answer & Step-by-step explanation:

Answer:

BD=7

ED=5

BE=7

AD=10

AE=5

Step-by-step explanation:

given CD = 7 you use that to find BD and BE because CD´s line length is the same as BD and BE

given BC = 5 you use that to find ED and AE and AD because BC is the same length as ED (they create the same triangle) and than given AE also equals 5 you add ED and AE to get AD

hope this helps

Answer:

solution,

Let the points be A and B

A(-3,4)---->(X1,y1)

B(5,4)----->(x2,y2)

now,

Distance:

[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ = \sqrt{ {(5 - ( - 3))}^{2} + (4 - 4) ^{2} } \\ = \sqrt{ {(5 + 3)}^{2} + {(0)}^{2} } \\ = \sqrt{ {(8)}^{2} + 0} \\ = \sqrt{64} \\ = \sqrt{ {(8)}^{2} } \\ = 8 \: units[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

See below.

Step-by-step explanation:

46.

Theorem:

The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.

The 100-deg angle is an exterior angle whose remote interior angles are angles E and F.

m<E + m<F = 110

5x + 6x = 110

11x = 110

x = 10

m<E = m<FEG = 5x = 5 * 10 deg = 50 deg

Answer: C. 50 deg

47.

A is not true since we know that 5x + 6x must equal 110, not 70.

Answer:

<FEG=50

A. is wrong

Step-by-step explanation:

For the first question, we know <F &<E are remote interior angles which add up to 110 (exterior angle)

so:

[tex]5x+6x+110\\11x=110\\x=10[/tex]

so:

[tex]5x= 5(10)\\FEG=50[/tex]

Now using what we know, we can determine that A. is wrong since 5x+6x is 110° not 70°

Hope this helps!

The sell price is the wholesale price plus 20%

Divide the sell price by 1.2 ( 100% + 20%)

145 / 1.2 = 120.83

The wholesale price is $120.83

Answer:

The wholesale price is $120.83

Answer: A) 5m = 50; m = 10

Step-by-step explanation:

The diagram shows 5 "m"s, or 5*m equal to 50.  Thus, 5m=50.

Because 5m = 50, divide both sides by 5 to get that m = 10

Hope it helps <3

Answer:

5m=50 and m = 10

Step-by-step explanation:

if 5m = 50, then 50/5=m and 50/5 = 10