Find the perimeter and area of the figure.
4
4
8
6
12
perimeter - 60 units
area - 116 units
perimeter - 54 units
area - 112 units?
perimeter - 48 units
area - 116 units?
perimeter - 116 units
area - 60 units?

Answer:

5,30

Step-by-step explanation:

1325:5=2,65

265.2=530

Answer:

It is 530

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

0.5819 = 58.19% probability that five or more families have life insurance

Step-by-step explanation:

For each family, there are only two possible outcomes. Either they have insurance, or they do not. The probability of a family having insurance is independent of other families. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

77% of husband-wife families with kids under 18 years old have life insurance.

This means that \(p = 0.77\)

A random sample of six husband-wife families was selected.

This means that \(n = 6\)

What is the probability that five or more families have life insurance?

This is

\(P(X \geq 5) = P(X = 5) + P(X = 6)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 5) = C_{6,5}.(0.77)^{5}.(0.23)^{1} = 0.3735\)

\(P(X = 6) = C_{6,6}.(0.77)^{6}.(0.23)^{0} = 0.2084\)

\(P(X \geq 5) = P(X = 5) + P(X = 6) = 0.3735 + 0.2084 = 0.5819\)

0.5819 = 58.19% probability that five or more families have life insurance

Answer:

B is The correct answer

Answer:

your answer will be x=1.13504161

9514 1404 393

Answer:

  {-1.47, 1.14}

Step-by-step explanation:

The solution to ...

  ax^2 +bx +c = 0 is ...

  \(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

Filling in the values a=3, b=1, c=-5, the solutions are ...

  \(x=\dfrac{-1\pm\sqrt{1^2-4(3)(-5)}}{2(3)}=\dfrac{-1\pm\sqrt{61}}{6}\\\\\boxed{x\approx\{-1.47,1.14\}}\)

Answer:

98

Step-by-step explanation:

200/300 x 147= 98

Answer:

11h 15 mins

Step-by-step explanation:

This is because the difference between the two are basically you adding the higher number (20:30) then taking away the lower one (9:15). 20:30 - 9:15 = 11:15, since you are working out the difference, you have to convert it into hours and minutes, as they are the digits in the other two numbers, making the answer 11h 15m.

9514 1404 393

Answer:

  (c)  −2 + i times the square root of 6

Step-by-step explanation:

The quadratic can be rewritten as ...

  (x+2)² = -6

Taking square roots gives ...

  x +2 = ±i√6

Subtract 2 to give the values of x that are solutions.

  x = -2±i√6 . . . . . one of the roots is -2+i√6

The result of the given terms is -2/5 as per the given question from complex numbers.

There is a multiplicative inverse for every nonzero complex number. As a result, complex numbers are a field with real numbers as a subfield. The complex numbers also form a two-dimensional real vector space with 1, I as the standard basis.

Because of this standard basis, the complex numbers form a Cartesian plane known as the complex plane. This allows for a geometric interpretation of complex numbers and operations, as well as the expression of geometric features and constructions in terms of complex numbers. Real numbers, for example, constitute the real line, which corresponds to the complex plane's horizontal axis.

=(((3/5)+(1/5)i)+((4/5)-(2/5)i) -((9/5)-(1/5)i))

=((3/5)+(4/5)-(9/5))-i((1/5)+i((1/5)-(2/5)+(1/5))

=(-2/5)+i(0)

= -2/5

Therefore, the result of the given terms is -2/5

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The total number of adult leaders is 11.

When solving a simple equation, think of the equation as a balance, with the equals sign (=) being the fulcrum or center. A simple equation represents a relationship between two terms on either side of an equal sign. Simple equations also follow one or a combination of the four mathematical operations of addition, subtraction, multiplication and division. As mathematics becomes more complex in level, simple equations can become larger with additional terms and variables.

Types of simple equation:

Linear equation are the most common simple equation and typically consist of one or several terms on either side of an equal sign.

Exponential equations contain numerical terms and exponents and sometimes include variables, depending on the type of problem you are solving.

Given:

Number of cub = 28

Number of scouts is 6 more than twice the number of adult leaders

Let C = cub scouts

L = adult leaders

C = 6 + 2L

28 = 6 + 2L

28 - 6 = 2L

22 = 2 L

L = 11

Number of adult leaders are 11.

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The sketch for slope is attached below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Point               Slopes

(1, 1)                     (a) 3

_                        (b) -3

_                        (c) -5/2

_                         (d) Undefined

a) Now, using slope intercept form

y - 1= 3 (x-1)

y- 1= 3x- 3

y= 3x - 2

(b) Equation of a line has a slope -3 is given by

y - 1= (-3) (x-1)

y-1 = 3- 3x

y = -3x + 4

(c) Equation of a line has a slope -5/2 is given by

y - 1= (-5/2) (x-1)

y-1 = -5/2x + 5/2

y= -5/2x + 7/2

(d) The line parallel to y axis and passes through given point : x=1

"undefined" means the line is vertical.

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Answer:

Bank of Texas = $10,031.35

United Texas Bank = $10,500.00

Step-by-step explanation:

Bank of Texas

A=P(1+rt)

P=$7,500

r=6.75%

t=5 years

$10,031.35

refer the pic

United Texas Bank

A=P(1+rt)

P=$7,500

r=8%

t=5 years

$10,500.00

refer the sec pic

Answer:

120

Step-by-step explanation:

(+2) x (-5) x (+4) x (-3)
= (-10) x (-12)
= (-)(-) (10 x 12)
= + 120

Answer:

Victor has 18 trophies

Step-by-step explanation:

Let's set up "let statements"

Let d = Dean's trophies

Since Victor has 2 times as many trophies as Dean, we can set up a let statement for Victor like this...

Let 2d = Victor's trophies

Now we can set up an equation! Since we know Dean and Victor have 27 trophies altogether...our equation has to involve addition...

2d + d = 27

Combine like terms...(2d and d)

3d = 27

Divide 3 on both sides to isolate the variable "d"

3d ÷ 3 = d

27 ÷ 3 = 9

So...

d = 9

That means Dean has 9 trophies. But we are not done yet because we need to figure out how many trophies Victor has. Since Victor has 2 times the number of trophies as Dean we can do...

2 · 9 = 18

Therefore, Victor has 18 trophies!

Hope this helps :)

Answer:

Graph is attached below

Step-by-step explanation:

To start off, let's find the y-intercept, which is when x=0

So, when x=0,

\(y=\frac{3}{4}(0)+5\), which is y=5.

So we can put a point on (0, 5)

From there, since the slope is 3/4. We can go up 3 and right 4 to plot a point there, you can also do down 3 and down 4 from the y-intercept point, then keep going either, up 3 and right 4 or down 3 and left 4, which should give you a diagonal line that looks something like;

Answer:

1.75

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Tiffany bought some boots that were on sale for $95.20. The boots were originally priced at $119. What was the percent discount of the boots? Show your work and then write your answer in a complete sentence.​

we know that

$119 -------> represent the 100%

Find out the difference

119-95.20=$23.80

Applying proportion

Find out the percent discount

so

100/119=x/23.80

solve for x

x=(100/119)*23.80

x=20%

therefore

\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{10} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{ \cfrac{1}{10}}(x-\stackrel{x_1}{(-10)}) \implies y -4= \cfrac{1}{10} (x +10) \\\\\\ y-4=\cfrac{1}{10}x+1\implies {\LARGE \begin{array}{llll} y-\cfrac{1}{10}x+5 \end{array}}\)

Answer:

1/7 ;

0.0034

Step-by-step explanation:

Given that:

X = 1/14, 1/7, 3/14

n = number of observations = 3

Since, probability of X is equally likely ;

P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3

The mean, m ;

Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)

= 1/42 + 1/21 + 3/42

= (1 + 2 + 3) / 42

= 6 / 42

= 1/7

The variance :

Σx²*p(x) - m²

((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2

= 0.0238095 - 0.0204081

= 0.0034014

= 0.0034

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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Answer:

Isnt it 12? the first rectangle says 2 on one side and 6 on another. The rectangle didn't change shape, but position.

Am I right??

Answer:

-7

Step-by-step explanation:

The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

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Answer:

The next number in the sequence is: 13

Step-by-step explanation:

So we start with 3, then the pattern is:

subtract 9, add 18, subtract 8, add 16, subtract 7, add 14...

If we apply this to the pattern we can see that it works. You should be able to continue the pattern if needed.

Answer:

148 children and 140 adults were admitted.

Step-by-step explanation:

Given that the admission fee at an amusement park is $ 3.50 for children and $ 13.00 for adults and on a certain day, 288 people entered the park, and the admission fees collected totaled $ 2,338.00, to determine how many children and how many adults were admitted you must be perform the following calculation:

13 - 3.5 = 9.50

288 x 3.50 = X

1.008 = X

2338 - 1008 = 1330

1330 / 9.5 = 140

288 - 140 = 148

148 x 3.5 + 140 x 13 = X

2338 = X

Therefore, 148 children and 140 adults were admitted.

Answer:

I know it is 13

Step-by-step explanation:

hope you get it right

The sample size needed to be 99​% confident that the sample proportion will not differ from the true proportion by more than ​4% is given as follows:

n = 1037.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is given as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

As we have no estimate, the parameter is given as follows:

\(\pi = 0.5\)

Then the sample size for M = 0.04 is obtained as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.04\sqrt{n} = 2.575 \times 0.5\)

\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)

\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)

n = 1037.

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