Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle is either in the circle or in the trapezoid.

The rate at 14% and 5% are $12, 883 and $2191 respectively.

Given that;

Invested amount = $ 15, 074 at 14% and 5%

Let rate at 14% = x

rate at 5% = y

We have rate at 9% exceeds that of 5% by $1694. 07

Hence,

0. 14x = 0. 05y + $1694. 07 ⇒ equation 1

x + y = $15, 074 ⇒ equation 2

Make 'x' the subject

x = [tex]15, 074 - y[/tex]

Substitute in equation 2

[tex]0. 14(15, 074 - y) = 0. 05y + $1694. 07[/tex]

Expand the expression

[tex]2, 110. 36 - 0. 14y = 0.05y + 1694. 07[/tex]

Collect like terms

[tex]416. 29 = 0. 19y[/tex]

Make 'y' the subject

y = [tex]\frac{416. 29}{0. 19}[/tex]

y = [tex]$2, 191[/tex]

Substitute the value in equation 2

x + y = $15, 074

x = $15, 074 - y

x = [tex]$15, 074 - 2191[/tex]

x = $12, 883

Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.

Learn more about simultaneous equations here:

https://brainly.com/question/16863577

#SPJ1

Answer:

5 and 9

Step-by-step explanation:

Answer:b

Step-by-step explanation: took the test

Answer:

$350

Step-by-step explanation:

Let the bench cost $x

Then the garden table costs $x - 43

x + (x - 43) = 657

2x =  657 + 43

2x = 700

x = 350

The cost of the bench is $350.

Nice day to you!

Answer:

3.55 per person

Step-by-step explanation:

To find the amount of money per person, take the total amount of money and divide by the number of people

10.65 /3

3.55 per person

Answer:

$3.55 for everyone

Answer:

B.concurrency.

Step-by-step explanation:

Three or more lines when met at a single point are said to be concurrent and the point of intersection is point of concurrency.

Answer:

[tex]a=27, b=81[/tex]

Step-by-step explanation:

Plug in the values

[tex]a=3^3\\b=3^4\\\\a=27\\b=81[/tex]

Answer:

P = [tex]\frac{91}{703}[/tex] ≅ 12.95%.

Step-by-step explanation:

The total amount of chocolates in the box is 8 + 16 + 14 = 38, 14 of which are solid.

Let's calculate the probability of getting a solid chocolate in the first selection:

[tex]P(1S) = \frac{14}{38} = \frac{7}{19}.[/tex]

Given that the first piece was solid, there are now 37 pieces of chocolate in the box, 13 of which are solid. Let's now calculate the probability of selecting another solid chocolate:

[tex]P(2S\,|\,1S) = \frac{13}{37}.[/tex]

Thus, the probability of selecting two solid chocolates in a row is the product of the two probabilities calculated above:

[tex]P = \frac{7}{19}\,.\,\frac{13}{37} = \frac{91}{703}.[/tex]

Answer:

18 and 6

Step-by-step explanation:

18+6=24

18/6=3

please mark brainliest

Answer: [tex]80\pi[/tex]

Step-by-step explanation:

- the equation for the surface area of a cylinder is [tex]A=2\pi rh+2\pi r^{2}[/tex]

- the equation for this cylinder will be [tex]A=2\pi (4)(6)+2\pi (4^{2})\\[/tex]

- so, [tex]2\pi (4)(6) = 150.7964474[/tex] and [tex]2\pi (4^{2})\\ = 150.7964474[/tex]

- then [tex]150.7964474 + 150.7964474= 251.3274123[/tex]

- finally, [tex]251.3274123/\pi = 80[/tex]

- so the answer in terms of [tex]\pi[/tex] is [tex]80\pi[/tex]

hope this helps :)

Step-by-step explanation:

[tex] \sec( \alpha ) - \cos( \alpha ) [/tex]

[tex] \frac{1}{ \cos( \alpha ) } - \cos( \alpha ) [/tex]

[tex] \frac{1}{ \cos( \alpha ) } - \frac{ \cos {}^{2} ( \alpha ) }{ \cos( \alpha ) } [/tex]

[tex] \frac{ \sin {}^{2} ( \alpha ) }{ \cos( \alpha ) } [/tex]

[tex] \frac{ \sin( \alpha ) }{ \cos( \alpha ) } \times \frac{ \sin( \alpha ) }{1} [/tex]

[tex] \tan( \alpha ) \sin( \alpha ) [/tex]

4 is the option

The perimeter of the original rectangle is 17.6mm. The side length of the enlarged rectangle is 23.22mm and the perimeter of the enlarged rectangle is 95.04mm

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2(l +w)

If the smaller rectangle has a length of 4.3 millimeters and width of 4.5 millimeters while a larger rectangle has a length of x millimeters and width of 24.3 millimeters, then;

4.3/x = 4.5/24.3

Cross multiply

4.5x = 104.49

x = 23.22mm

Perimeter of original rectangle = 2(4.3 + 4.5)

Perimeter of original rectangle = 17.6mm

Perimeter of enlarged rectangle = 2(23.22 + 24.3)

Perimeter of enlarged rectangle = 95.04mm

The perimeter of the original rectangle is 17.6mm. The side length of the enlarged rectangle is 23.22mm and the perimeter of the enlarged rectangle is 95.04mm

Learn more on perimeter of rectangle here: https://brainly.com/question/19819849

#SPJ1

Answer:

17.6mm, 23.22mm, 95.04mm

Step-by-step explanation:

Gathering information from individuals in a sample is known as : Data collection. ( B )

Statistics is the science of collecting and analyzing data in quantities, especially for the purpose of informing.

Analysis:

sample collection is the first approach to analyzing any information.

Learn more about statistics: brainly.com/question/15525560

#SPJ1

Answer: B. Reciprocal

Step-by-step explanation:

This is a fact.

The parent function represented by f(x) = -1/x is the reciprocal function.

Therefore, the correct answer is option B.

Reciprocal functions, also known as rational functions, are defined by an algebraic expression where the dependent variable is in the denominator. In this case, the dependent variable is x, and it appears in the denominator as 1/x.

The negative sign in front of the fraction simply indicates that the function is reflected over the x-axis.

The general form of a reciprocal function is f(x) = a/x, where "a" is a constant. In the given function f(x) = -1/x, a is equal to -1.

In the case of f(x) = -1/x, the graph of the function is a hyperbola that opens downwards in the first and third quadrants. It approaches the x-axis as x moves towards positive or negative infinity, and it moves away from the x-axis as x approaches 0.

Therefore, the correct answer is option B, the reciprocal function.

Learn more about Reciprocal functions click;

https://brainly.com/question/12621604

#SPJ7

Answer:534360

Step-by-step explanation:

I did have to remove the multiplication though

Answer:

30 cans :)

Step-by-step explanation:

We need to divide to solve so lets do that now :)

15 x 4 = 60

60/2 = 30

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Quadratic polynomial (Biggest power is 2). It's also a trinomial (3 unlike terms)

Answer:

True.

Step-by-step explanation:

Lateral Surface area of cone=πrl=πr×2h=2πrh

Lateral surface area of cylinder=2πrh

Answer:

C. Vertex (1;-25)

F. x-intercepts: (-4;0), (6;0).

Step-by-step explanation:

1) x-coordinate of the vertex: -b/2a=1; y-coordinate of the vertex: -25;

2) for x-intercepts it needed to solve the equation x²-2x-24=0;

x=6;-4;

3) finally, correct answers are: C. Vertex (1;-25) and F. x-intercepts: (-4;0), (6;0).

Answer:

(0, 22)

Step-by-step explanation:

So you have the equation:

[tex]y-1=-7(x-3)[/tex]

So first let's define what the "y-intercept" is. The y-intercept, of a line is like the name implies, when the line intercepts or "passes" the y-axis. And if you were to take any point on the y-axis, the y-value may vary, but there is one value that doesn't change, and that's the x-value. the x-value is always going to be zero, no matter where you are on the y-axis. So to find the y-intercept simple plug 0 in as x. This gives you the equation:

[tex]y-1 = -7(0-3)[/tex]

[tex]y-1 = -7(-3)[/tex]

[tex]y-1=21[/tex]

[tex]y=22[/tex]

So the y-intercept is at (0, 22)

Answer:

-3 13/20

Step-by-step explanation:

-3.65=

-3 65/100=

-3 13/20

The attached graph represents the graph of the line

The given parameters are:

Slope, m = -3

(x1, y1) = (-3, -2)

The equation is calculated as:

y = m(x - x1) + y1

So, we have:

y = -3(x + 3) - 2

Expand

y = -3x - 9- 2

Evaluate the difference

y = -3x - 11

See attachment for the graph of y = -3x - 11

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

The radius of the base of the vase in cm to 2 dp is 0.08m

The formula for calculating the pressure of a object is expressed as;

Pressure = Force/Area

Area = Force/Pressure

Area = 15/750

Areas = 0.02m²

Since the area of the circular base is πr², then;

πr² = 0.02

r² = 0.02/3.14

r = 0.0798m

Hence the radius of the base of the vase in cm to 2 dp is 0.08m

Learn more on pressure here; https://brainly.com/question/25736513

#SPJ1

The confidence interval is (-1.1059, 7.70459).

Image result for what is confidence interval

A confidence interval is the mean of your estimate plus and minus the variation in that estimate.

The sample mean is M=3.3

The sample size is N=44

So, σM= s/√N = 16.6/ √44

= 16.6/ 6.633

= 2.621

and, the degree of freedom

df= n-1

=44-1

=43

So, The t-value for a 90% confidence interval and 43 degrees of freedom is t=1.681.

Now, Margin of error = 2.261* 1.681 = 4.4059

Now, the lower and upper bound of the confidence interval are:

LL = 3.3- 4.40459 = -1.1059

UL = 3.3+ 4.40459 = 7.70459

Hence, the confidence interval is  (-1.1059, 7.70459).

Learn more about this concept here:

https://brainly.com/question/14089556

#SPJ1

Part A: 6 ( 8m + 2) and 48m + 12

Part B: 48m - 48m = 12 - 12

Part C: 6 (10) = 6(10)

1. The two expressions could be gotten thus;

6(m + 2 + 7m)

Collect like terms in the bracket

6 ( 8m + 2) ⇒ first expression

6(m + 2 + 7m)

Expand the bracket

6m + 12 + 42m

Collect like terms

6m + 42m + 12

48m + 12 ⇒ second expression

Part B:

6(m + 2 + 7m) = 48m + 2

Expand the bracket

6m + 12 + 42m = 48m + 2

Collect like terms

48m - 48m = 12 - 12

0 = 0

Part C:

Let the expression from A be 6 ( 8m + 2)

6(m + 2 + 7m) = 6 ( 8m + 2)

Let the number be m = 1

Substitute the values

6(1 + 2 + 7(1) ) = 6 (8(1) + 2)

6 ( 1 + 2 + 7) = 6 (10)

6 (10) = 6(10)

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

What this question is asking us is

A) From -40C to 5 0c How much did it rise

The formula for this would be

Risen Temperature - Initial Temperature

The risen temparauture is 5 so we plug the 5 in first then the 4 so it would look like

5-(-4)=9

And remeber when you have 2 negatives it becomes a positie, 5+4=9

The asnwer for A is 9 degress

B) The tempurater then fell by 7 degress from 5 so we just have to do

5 - 7

which is -2 Celcius

Answer:

a was i believe 10 degrees and b dropped 3- degrees

Step-by-step explanation:

Because  4- 3- 2- 1- 0 1  2 3 4 5

                    1   2   3  4 5 6 7 8 9

4 is the start don't forget that

And for b 5 dropped from 7 degrees just take 5 now ur at 0 and u have 3 more to take boom ur at 3- hope this hellped :)

All polar coordinates of point P where P = ordered are given are mathematically given as

(6, negative pi divided by 5 + 2nπ) or (-6, negative pi divided by 5 + (2n + 1)π)

Option B is correct.

Generally, the equation for all polar coordinates is mathematically given as

[tex]P= 6,\frac{-pi}{5}[/tex]

Finding the whole set of polar coordinates for An arbitrary point's polar coordinates may be written as (r, ), where (r, ) = (r, +2n) for some n and r.

If n is a positive integer and r is negative, then (r,) = (-r, +(2n+1)).

In conclusion, we may solve the problem by setting r = 6 and = -/6.

If n is an integer and r is positive, then P(6,-/6) = (6, -/6) + 2n, and if n is an integer and r is negative, then P(-6,-/6) = (-6, -/6) + (2n+1).

Read more about polar coordinates

https://brainly.com/question/11657509

#SPJ1

Answer:

1 day

Step-by-step explanation:

since 7 spider =7 days

1 spider =? day

cross multiply

7 days × 1 spider = 7 spider × ? days

7 spider = 7 spider × ? days

7 spider 7 spider

= 1 days

The table of values is

x -1 0 1 2 3 4 5 6

f(x) -13 -7 -1 11 35 77 143 139

The function is given as:

f(x) = x³ +5x-7

And the values of x are

x = -1, 0, 1, 2, 3, 4 5 and 6.​

Substitute these values in the function

f(-1) = (-1)³ +5(-1) - 7 = -13

f(0) = (0)³ +5(0) - 7 = -7

f(1) = (1)³ +5(1) - 7 = -1

f(2) = (2)³ +5(2) - 7 = 11

f(3) = (3)³ +5(3) - 7 = 35

f(4) = (4)³ +5(4) - 7 = 77

f(5) = (5)³ +5(5) - 7 = 143

f(6) = (6)³ +5(6) - 7 = 239

Hence, the table of values is

x -1 0 1 2 3 4 5 6

f(x) -13 -7 -1 11 35 77 143 139

Read more about table of values at:

https://brainly.com/question/8629807

#SPJ1

Resolviendo una ecuación lineal veremos que que Manuel tiene 36 años.

Vamos a definir la edad de Manuel como x.

Sabemos que la mitad mas el tercio mas la cuarta parte de x es igual que x más 3, entonces:

x/2 + x/3 + x/4 = x + 3

Ahora podemos resolver esta ecuación lineal para x:

x/2 + x/3 + x/4 - x = 3

x*( 1/2 + 1/3 + 1/4 - 1) = 3

x = 3/(1/2 + 1/3 + 1/4 - 1) = 36

Así, concluimos que manuel tiene 36 años.

Sí quieres aprender más sobre ecuaciones lineales:

https://brainly.com/question/1884491

#SPJ1

The number of 1’s among the draws will be 155.

Binomial distributions consist of n independent Bernoulli trials.

The expected value is given as

E(X) = np

465 draws will be made at random with replacement from the box [0 0 1].

The number of 1’s among the draws will be

p = 1/3

n = 465

Then the expected value is given as

E(x) = 465 × 1/3

E(x) = 155

Learn more about binomial distribution here:

https://brainly.com/question/13609688

#SPJ1