50 POINTS
Ron has a homeowner’s insurance policy, which covers theft, with a deductible of d dollars. Two bicycles, worth b dollars each, and some tools, worth t dollars, were stolen from his garage. If the value of the stolen items was greater than the deductible, represent the amount of money the insurance company will pay algebraically.

Answer:

i) The bottles of iced tea filled in a plant is the Population

ii) The Average of Population μ = 20 is called Parameter

iii) The sample size 'n' = 50

iv) The mean of the sample 'x⁻ = 19.6 ounces

Step-by-step explanation:-

Population:-

The total number of observations which we are concerned , whether this number be finite or infinite is called Population.

In Given data

The bottles of iced tea filled in a plant is the Population

Parameter:-

The statistical constants of the Population namely mean and variance are usually refereed to as Parameters.

The Average of Population μ = 20 is called Parameter

Sample:-

A sample is a subset of population

given data sample size n=50 bottles at random from the days of production

Statistics

The sample mean x⁻ and variance S² is called statistics

Given data

These bottles contained an average of 19.6 ounces of iced tea

x⁻ = 19.6 ounces

The equations will find the distance between the lions and giraffes include the following:

A. 11 + 16 = c.

D. 11(2) + 16(2) = 2.

In Science, distance can be defined as the amount of ground that is travelled by a physical object or body over a particular period of time and speed, irrespective of its direction, starting point or ending point.

Mathematically, the distance traveled by both the lions and giraffes when they are positioned one (1) unit apart can be calculated by using this equation:

11 + 16 = c

Additionally, the distance traveled by both the lions and giraffes when they are positioned two (2) unit apart can be calculated by using this equation:

11(2) + 16(2) = c

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The calculated solution to the inequality is a < 6

from the question, we have the following parameters that can be used in our computation:

2a - 10 < 2

Divide through the equation by 2

So, we have

a - 5 < 1

Add 5 to both sides

a < 6

Hence, the solution to the inequality is a < 6 and the graph is attached

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Answer:

50.26 if you use 3.14 for pi

50.35 if you use 3.15 for pi

Step-by-step explanation:

First, we find the circumference of the circle in the center.

(15 - 3 - 3)/2 = 4.5

4.5 is the radius

Equation for circumference: 2*pi*r

2*pi*4.5

9pi

Depending on where you normally use 3.14 or 3.15 for pi changes the answer but for this example I will use 3.14

The circumference of the circle is 28.26

Next, add the other sides of the figure.

28.26 + 3 + 3 + 3 + 3 + 5 + 5 = 50.26

Answer:

39 3/8 ft ^2

Step-by-step explanation:

To find the area of a rectangle, multiply the length times the width.

A = l*w

  = 7 1/2  * 5 1/4

Change the mixed numbers to improper fractions.

A = 15/2 * 21/4

    =315/8

Change back to a mixed number.

8 goes into 315 39 times with 3 left over.

 = 39 3/8

Answer:

(you can round to 39.4)

Step-by-step explanation:

Find the area of the rectangle shown

7 1/2 ft

5 1/4ft

7 1/2 = 7.5 ft

5 1/4 = 5.25 ft

Area = L x W

Area = 7.5 x 5.25

Area = 39.375

The Solution:

We are required to find the sum of

This also means that we should simplify

Therefore, the correct answer is option 2

The required simplified value of the given expression using the distributive property is x = 2.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The distributive property is defined as,

a(b + c) = ab + ac

From the above property,

28 - (3x + 4) = 2(x + 6) + x
28 -3x - 4 = 2x + 12 + x
24 - 12 = 3x + 3x
6x = 12
x = 2

Thus, the required simplified value of the given expression using the distributive property is x = 2.

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After solving, the surface integral S is \(\int\int_{S}(x + y + z) dS\) = 960√14.

In the given question, we have to evaluate the surface integral.

(x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 8, 0 ≤ v ≤ 6.

Now the surface integral is:

\(\int\int_{S}(x + y + z) dS\)

x = u+v, y = u−v, z = 1+2u+v, 0 ≤ u ≤ 8, 0 ≤ v ≤ 6

The parametric curve is

r(u,v) = <u+v, u−v, 1+2u+v>

Then surface integral is calculated as

\(\int\int_{S}(x + y + z) dS=\int\int_{A}f(x(u,v), y(u,v), z(u,v))|r_{u}\times r_{v}| dudv\)

Now find partial derivatives of parametric curve with respect to u and v

\(r_{u}\)(u,v) = <1, 1, 2>

\(r_{v}\)(u,v) = <1, -1, 1>

Now find cross product

\(r_{u}\times r_{u}\) = <1, 1, 2> × <1, -1, 1>

\(r_{u}\times r_{u}\) = <1+2, 2-1, -1-1>

\(r_{u}\times r_{u}\) = <3, 1, -2>

Now parametric function is

x+y+z = u+v+u-v+1+2u+v

x+y+z = 4u+v+1

Then the surface integral is:

\(\int\int_{S}(x + y + z) dS=\int^{6}_{0}\int^{8}_{0}(4u+v+1)\sqrt{14}dudv\)

\(\int\int_{S}(x + y + z) dS=\sqrt{14}\int^{6}_{0}(4\frac{u^2}{2}+uv+u)^{8}_{0}dv\)

\(\int\int_{S}(x + y + z) dS=\sqrt{14}\int^{6}_{0}[(4\frac{(8)^2}{2}+8v+8)-(4\frac{(0)^2}{2}+0\cdotv+0)]dv\)

\(\int\int_{S}(x + y + z) dS=\sqrt{14}\int^{6}_{0}(128+8v+8)dv\)

\(\int\int_{S}(x + y + z) dS=\sqrt{14}\int^{6}_{0}(136+8v)dv\)

\(\int\int_{S}(x + y + z) dS=\sqrt{14}(136v+8\frac{v^2}{2})^{6}_{0}\)

\(\int\int_{S}(x + y + z) dS=\sqrt{14}[(136\times6+8\frac{6^2}{2})-(136\times0+8\frac{0^2}{2})]\)

\(\int\int_{S}(x + y + z) dS\) = √14×(816+144)

\(\int\int_{S}(x + y + z) dS\) = 960√14

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Answer:

1.6e-7, or .00000016

Step-by-step explanation:

Answer:

f=20

Step-by-step explanation:

each rectangle = 8in

8+8=16

36-16= 20

Answer:

sorry I don't know the answer ,but I want to ask u something ,r u a accounting student if yes please comment.i am also a accounting student but on learning stage so I don't know the answer,

Answer:

34.65

Step-by-step explanation:

I think that is the answer

Given:

2(3x - 1)

Let's distrubute 2 to the terms in the parenthesis.

To distribute, use distributive property to distribute 2 to (3x - 1).

Thus, we have:

2(3x - 1)

= 2(3x) + 2(-1)

= 6x + -2

= 6x - 2

ANSWER:

6x - 2

Answer:

Explained below.

Step-by-step explanation:

From the information provided:

\(n=25\\\bar x=85272\\s=11039.23\)

(a)

A hypothesis test is to performed to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,000.

The hypothesis is:

H₀: The population mean annual administrator salary in Ohio is same as the national mean of $90,000, i.e. μ = 90000.

Hₐ: The population mean annual administrator salary in Ohio is different from the national mean of $90,000, i.e. μ ≠ 90000.

(b)

As the population standard deviation is not provided, a t-test will be used.

The test statistic value is:

\(t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{85272-90000}{11039.23/\sqrt{25}}=-2.14\)

Compute the p-value of the test as follows:

\(p-value=2\times P(t_{n-1}<t)\\\\=2\times P(t_{24}<-2.14)\\\\=2\times P(t_{24}>2.14)\\\\=2\times 0.022\\\\=0.044\)

*Use a t-table.

Thus, the p-value of the test is 0.044.

(c)

The significance level of the test is, α = 0.05.

Decision rule:

Reject the null hypothesis if the p-value is less than the significance level.

p-value = 0.044 < α = 0.05.

The null hypothesis will be rejected at 5% level of significance.

Conclusion:

There is enough evidence to support the claim that the population mean annual administrator salary in Ohio differ from the national mean of $90,000.

(d)

The critical value of t is:

\(t_{\alpha/2, (n-1)}=t_{0.05/2, 24}=\pm 2.064\)

The rejection region  can be defined as follows:

\(t<-2.064\ \text{and}\ t>2.064\)

The test statistic value is, t = -2.14.

The test statistic value lies in the rejection region.

Thus, the null hypothesis will be rejected concluding that the population mean annual administrator salary in Ohio differ from the national mean of $90,000.

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Answer:

3/3 =1

6/3 =2

Step-by-step explanation:

Answer:

122.5

Step-by-step explanation:

Use the area formula for a trapezoid (attached below as an image):

A = area in sq cm

a = top base

b = bottom base

h = height

Correspond the correct values with the variables:

a = 14

b = 21

h = 7

A = 1/2 * (14 + 21) * 7

A = 1/2*(35)*7

A = 17.5 * 7

A = 122.5 sq cm

Hope this helps (●'◡'●)

Answer: there you go :)

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Step-by-step explanation:

Let x = gallons consumed by car 1

Let y = gallons consumed by car 2

We set up our equations:

35x+40y = 1850        eq1

x+y = 50                   eq2

Substituting eq 2 into eq 1,

35x+40(50-x) = 1850

35x+2000-40x = 1850

-5x+2000 = 1850

-5x = -150

  x = 30

Substitute value of x into eq 2.

x+y = 50

30+y = 50

     y = 20

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Answer:

Yes

Step-by-step explanation:

if it's a less than or equal to it goes from the left to the right and has a full dot

Answer:

P (S∩E)  = 0.1591

Step-by-step explanation:

Let the stockholders be donated by S then the P (s)= 0.43

Let the stockholders having some degree be donated by D then the P (d)= 0.75

Let the American having some college degree be donated by E then the

P (E)= 0.37

As the events are independent their joint probability can be found by multiplying the individual probabilities

P (S∩E)  = P(s) . P (E)= 0.43 * 0.37= 0.1591

The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

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Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

Step-by-step explanation:

DNE!

HOPE ITS RIGHT....

The required length of AC in triangle ABC is b = 119.57 units.

In triangle ABC, we have:

\($\angle B = 85^\circ$\)

\($\angle C = 53^\circ$\)

\($BC = 85 units\)

AB = c

AC = b (we need to find the value of b)

We know that the sum of the interior angles of a triangle is \($180^\circ$\). Therefore:

\($\angle A = 180^\circ - \angle B - \angle C$\)

\($\angle A = 180^\circ - 85^\circ - 53^\circ$\)

\($\angle A = 42^\circ$\)

Using the law of sines, we have:

\($\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$\)

Substituting the given values, we get:

\($\frac{c}{\sin 85^\circ} = \frac{b}{\sin 53^\circ}$\)

Solving for $c$, we get:

\($c = b \cdot \frac{\sin 85^\circ}{\sin 53^\circ}$\)

We also know that:

\($\frac{a}{\sin A} = \frac{85}{\sin 42^\circ}$\)

Solving for a, we get:

\($a = 85 \cdot \sin 42^\circ$\)

Now we can use the law of cosines to find b:

\($b^2 = a^2 + c^2 - 2ac \cdot \cos B$\)

Substituting the known values, we get:

\($b^2 = (85 \cdot \sin 42^\circ)^2 + \left[b \cdot \frac{\sin 85^\circ}{\sin 53^\circ}\right]^2 - 2 \cdot 85 \cdot b \cdot \sin 42^\circ \cdot \sin 85^\circ/(\sin 53^\circ)$\)

Simplifying and solving for b, we get:

b = 119.57 units

Therefore, the length of AC in triangle ABC is b = 119.57 units.

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Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

Step-by-step explanation:

the €300 as current price is 125% relative to the original price. in other words : 1.25 times the original price.

to get the amount of the increase we need to get the original price first and then subtract the original price from the current price.

to get the original price we need now to divide the actual price by 1.25 to undo the increase.

the original price

OP = 300/1.25 = €240

the price increase (of 25%) was then

300 - 240 = €60

Answer:

Engineer: 9.5 hr

Assistant: 4.5 hr

Step-by-step explanation:

To solve this problem, we can create and solve a system of equations.

Define the variables:

Given the engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour, and a customer received a bill for $425 for a certain job:

Given the assistant worked 5 hours less than the engineer:

Therefore, the system of equations that represents the problem is:

\(\begin{cases}40x+10y=425\\ \quad \qquad \;\;\;y=x-5\end{cases}\)

Substitute the second equation into the first equation to eliminate y:

\(40x+10(x-5)=425\)

Solve the equation for x to find the number of hours the engineer worked:

\(\begin{aligned}40x+10(x-5)&=425\\40x+10x-50&=425\\50x-50&=425\\50x&=475\\x&=9.5\end{aligned}\)

Therefore, the engineer worked 9.5 hours.

Substitute the found value of x into the second equation and solve for y to find the number of hours the assistant worked:

\(\begin{aligned}y&=x-5\\y&=9.5-5\\y&=4.5\end{aligned}\)

Therefore, the assistant worked 4.5 hours.

Answer:

−  2x^ 3  +  8 x ^2

Step-by-step explanation:

Hope this helps:)