Find the perimeter of the figure below.

​Figure not drawn to scale

Solution :

[tex]$p = \frac{28}{30}$[/tex]

  = 0.93

Given :

[tex]$a=0.05$[/tex]

[tex]$z(0.025)=$[/tex] [tex]$1.96$[/tex]   (from standard normal table)

So the lower bound is

[tex]$=p+z\times \sqrt{p \times \frac{1-p}{n}}$[/tex]

[tex]$=0.7+0.93\times \sqrt{0.7 \times \frac{1-0.7}{30}}$[/tex]

= 1.63 + 0.083

[tex]$=1.73$[/tex]

Complete question :

The Harris Poll conducted a survey in which they asked, "How many tattoos do you currently have on your body?" Of the 1205 males surveyed, 181 responded that they had at least one tattoo. Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Construct a 95% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.

Answer:

(−0.0085 ; 0.0481)

Step-by-step explanation:

Given that :

n1 = 1205 ; x1 = 181 ; n2 = 1097 ; x2 = 143 ; α = 95%

Zα/2 = 1.96 ( Z table)

Confidence interval : (p1 - p2) ± E

E =Zα/2 * √[(p1q1/n1) + (p2q2/n2)]

p1 = x1 /n1 =181/1205 = 0.1502

q1 = 1 - p1 = 1 -0.1502 = 0.8498

p2 = x2/n2 = 143/1097 = 0.1304

q2 = 1 - p2 = 1 -0.1304 = 0.8696

E = 1.96 * √(0.0001059 + 0.0001033)

E = 0.0283

p1 - p2 = 0.1502 - 0.1304 = 0.0198

Lower boundary = 0.0198 - 0.0283 = −0.0085

Upper boundary = 0.0198 + 0.0283 = 0.0481

(−0.0085 ; 0.0481)

Step-by-step explanation:

In your solving toolbox (along with your pen, paper and calculator) you have these 3 equations:

The angles always add to 180°: A + B + C = 180° ...

Law of Sines (the Sine Rule): When there is an angle opposite a side, this equation comes to the rescue. ...

Law of Cosines (the Cosine Rule):

Answer:

number 3

Step-by-step explanation:

thats my calcue

Answer:

i don't get what i should do its all messed up

Step-by-step explanation:

Answer:

11.2777778 feet (11 feet 321⁄64 inches)

Step-by-step explanation:

Answer:

11 27/100

Step-by-step explanation:

L (length) times W (width) = A (area)

Answer:

x = 1

Step-by-step explanation:

x - 3 + 3x = 1

4x - 3 = 1

4x = 4

x = 1

Answer:

x=1, y=-2

Step-by-step explanation:

According to the substitution property, if x = y, then x can be substituted for y in any equation, and y can be substituted for x in any equation.

We are already given the values:

y=x-3

y+3x=1

We can substitute y into the equation.

As so-

[tex]x-3+3x=1[/tex]

Combine common terms:

[tex]4x-3=1[/tex]

Now solve for x. To solve for a variable, we must isolate it:

Add 3 to both sides:

[tex]4x=4[/tex]

The last thing, 4 is being multiplied to x, so we must divide it to both sides to isolate the variable.

[tex]x=1[/tex]

Now we can just substitute the x value into the y equation:

[tex]y=x-3\\y=1-3\\y=-2[/tex]

It is always better to check our answers, we can substitute our x and y into the equation:

[tex]-2+3(1)=1\\-2+3=1\\1=1[/tex]

We are right! :)) Hope it helps!

x=1, y=-2

(1,-2)

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

needed to apply

4²+8²=12²

80≠144 not a right angled triangle

again

2²+√5²=3²

9=9/

side are a right angled triangle

again

2²+2²=(√8)²

4+4=8

8=8

side are a right angled triangle

Answer:

A is the answer!

Because that's reduced of 16/30

Answer:

well I can see not see the graph so for this the + whatever is the y intercept which means when the line goes through the y axis and with the X find a point that is at the tip of a square then count up or down and if you count up and over it is positive and down and over it negative if i cann the graph I would love to help you.

Answer:

1.  -3/13

2. (simplified) 8 / (exponential form) 2^3

3. 1265625/16384

4. 5

Step-by-step explanation:

no need for explanation just try the app Photo math (no space in the photo and math)

Step-by-step explanation:

The given equation is :

x = 6y ...(1)

Here,

x and y are variables and 6 is a constant number

It means,

x and y are related directly to each other i.e.

x ∝ y

or

x = ky .....(2)

Comparing equation (1) and (2)

k = 6

Hence, yes they are in direct proportion and the value of constant of proportionality is 6.

Answer:

yes / 1/6

Step-by-step explanation:

Answer:

126,628

Step-by-step explanation:

125,000+4,000+3,200-5,000-572

Net worth is your dollar amount in assets minus liabilities, so debts and loans, in total the net worth is $126,628

Answer:

12

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

since they are vertical angle they are the same so since its 2x divide 36/2=18

Answer:

x=18

Step-by-step explanation:

[tex]2x = 36 \\ x = \frac{36}{2} \\ x = 18[/tex]

Answer:

A triangle

Step-by-step explanation:

C. $6010, I plugged the information into a simple compound  interest calculator.

try this one method. I hope it will help a little

Answer:

It should be B!

Step-by-step explanation:

The graph looks small and on the left second quadrant

Answer:

Its b

Step-by-step explanation:

Just got it right on edge

Answer:

4, 16, -4, 2, -1

x = 4±√(16-4(2)(-1)/4

Correct expression:

Step-by-step explanation:

Given the expression

2x² - 8x - 7 = -4x - 6

Rewrite in standard form

2x² - 8x + 4x - 7 + 6 = 0

2x² - 4x  - 1 = 0

Get the coefficients

Given the standard form ax^2 + bx + c = 0

ax^2 = 2x^2

a = 2

bx = -4x

b = -4

c = -1

Use the general formula to find the factors

x = -b±√b²-4ac/2a

Substitute the coefficients

x = -(-4)±√(-4)²-4(2)(-1)/2(2)

x = 4±√(16-4(2)(-1)/4

Hence the values are 4, 16, -4, 2, -1

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The formula for finding distance between 2 points on a number-line is absolute value. We need to find the absolute value of -4+6. |-4| + |6| = 10

Absolute Value negates any negatives.

Answer:

43

Step-by-step explanation:

xulxlydlysktstaj4a4uajtajrajra

Answer:

Step-by-step explanation:

This should help I hope

Answer:

B

Step-by-step explanation:

Football has the highest number of votes in the chart.