#4
and #5
4. Find the value (score) that separates the top 15% of the data from the bottom 85% of the data for a normal distribution with a mean of 56 min and a standard deviation of 9 min. Express your answer

Answer:

$7200

step by step Explanation:

Cameron borrowed $18,000 at an interest rate of 10% for a period of 4 years. To calculate the interest, we can use the simple interest formula: I = P * r * t, where I is the interest, P is the principal amount, r is the interest rate, and t is the time period.

Plugging in the values, we get I = 18,000 * 0.10 * 4 = $7,200. Therefore, Cameron paid a total of $7,200 in interest over the 4-year period.

Hometown Property Casualty Insurance Company's combined ratio, after dividends, can be calculated as 114%. This means that the company is paying out more in losses, expenses, dividends, and taxes than it is earning in premiums and investment income.

The combined ratio is a key metric used in the insurance industry to assess the overall profitability of an insurance company. It is calculated by adding the loss ratio and the expense ratio. In this case, the loss ratio is 75% and the expense ratio is 30%. Therefore, the combined ratio before dividends would be 75% + 30% = 105%.

To calculate the combined ratio after dividends, we need to consider the dividend ratio and the net investment income. The dividend ratio is 1%, which means that 1% of the company's premium revenue is paid out as dividends to shareholders. The net investment income is 8%, representing the return on the company's investments.

To adjust the combined ratio for dividends, we subtract the dividend ratio (1%) from the combined ratio before dividends (105%). This gives us 105% - 1% = 104%. Then, we add the net investment income (8%) to obtain the final combined ratio.

Therefore, the combined ratio after dividends for Hometown Property Casualty Insurance Company is 104% + 8% = 114%. This indicates that the company's expenses and losses, including dividends and taxes, exceed its premium revenue and investment income by 14%. A combined ratio above 100% suggests that the company is operating at a loss, and in this case, Hometown Property Casualty Insurance Company would need to take measures to improve its profitability.

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There are 24 three-digit numbers less than 700 that can be made using the digits 9, 7, 5, and 3 at most once. They are:

395, 379, 357, 593, 597, 537, 573, 935, 937, 957, 975, 375, 735, 753, 793, 359, 539, 579, 953, 973, 357, 537, 573

Answer:

Step-by-step explanation:

This rectangular prism is packed with unit cubes with edge lengths of 12 inch each. Which are the dimensions of the rectangular prism? A 812×312×412 B 8×3×4 C 412×212×112 D 4×2×112

The volume of a rectangular prism when given edge length = (Edge length)³

Hence,

Volume = (12 inch)³

Volume = 1728 cubic inches

Therefore, from the above options given, the possible dimensions of the Rectangular prism =

Answer:

2 and 1

Step-by-step explanation:

x^2 - 3x + 2 = 0

(x-2)(x-1) = 0

the x can be 2 and 1

Answer:

x=2 and x=1

Step-by-step explanation:

x^2 - 3x + 2 = 0

(x-2)(x-1) = 0

(x-2)=0

x=2

(x-1) = 0

x=1

so values are x=2 and x=1

Hope this helps ...Pls Mark me as Brainliest!!

Answer:

Option (1)

Step-by-step explanation:

Since, quadrilateral ABCD shown on the graph is a parallelogram,

It will overlap itself when rotated by 180° about the origin.

In other words, all vertices of the given parallelogram will overlap itself when they are rotated by 180° about the origin.

Rule for the rotation of a point about the origin is,

(x, y) → (-x, -y)

Therefore, Option (1) will be the answer.

Answer:

163

Step-by-step explanation:

\(2*(7^{2}) +9(7)+2\)

\(2*(49)+9(7)+2\)

\(98+63+2\)

\(=163\)

Answer:

-1.3333333333333

Step-by-step explanation:

To solve f(1)+h(1) .....

plug in 1 for x in both equations f(x) and h(x):

f(1)=2(1)²+3(1)-4 = 2+3-4 = 1

h(1)= -(1)²+8 = -1+8 = 7

f(1)+h(1) = 1 + 7 = 8

Hope it helps!

Answer:

$32.50

Step-by-step explanation:

multiple 25 by 30 then divide it by 100 then add your 7.5 to 25 and that's ur answer

If a laptop computer regularly cost $1096 and it’s on sale for $736 what percentage discount is being given round your answer to the nearest hundredth when necessary

step 1

Find out the difference

1096-736=$360

step 2

In this problem

$1,096 represent the 100%

so

applying proportion, find out how much percentage represent the difference

100%/1,096=x/360

solve for x

x=100*360/1,096

Answer:

h+12 or 12*h

Step-by-step explanation:

Answer:

h+12

Step-by-step explanation:

Increase by means add

h+12

Answer:

Step-by-step explanation:

\(f(x)=x^2-12x+46\\a=1\,,\ \ b=-12\\\\\)

Vertex form of an equation of a quadratic function: f(x)=a(x-h)²+k, where vertex is (h, k) and:

\(h=\dfrac{-b}{2a}\,,\ \ k=f(h)\\\\\\h=\dfrac{-(-12)}{2\cdot1}=\dfrac{12}{2}=6\\\\k=f(6)=6^2-12\cdot6+46=36-72+46=10\)

Answer 1:

D. 24 sq feet

The formula to find surface area of a cube is \(a=6a^{2}\)

Substitute 2 for a, \(2^{2} = 4\)

6 x 4 = 24, so 24 sq feet

Answer 2:

B. 62 sq feet

The formula to find surface area of a rectangular prism is \(a = 2(wl+wh+hl)\)

Substitute 3 for w, 5 for l, 2 for h and multiply

a = 62 sq feet

Answer 3:

C. 1296 sq inches

The formula to find surface area of a rectangular prism is \(a = 2(wl+wh+hl)\)

Substitute 24 for w, 12 for l, 10 for h and multiply

a = 1296 sq inches

Answer:

107%

Step-by-step explanation:

because if we look at the x-axis, Discount (%)

and look at 35 which is between 30 and 40

and start going up we get near 100

so

107%

or?

we use the two points and with that we find the slope first

\(\frac{y2-y1}{x2-x1}\)

plug in (20,62) and (10,32)

\(\frac{32-62}{10-20}\)

equals

\(\frac{-30}{-10}\)

simplify to 3

then we use

y - y1 = m (x - x1)

y - 62 = 3 (x - 20)

y - 62 = 3x - 60

add 60 from both sides

y - 2  = 3x

add 2 to both sides

y=3x+2

then plug in 35

y= 3(35) + 2

which is

107

The quantity one third squared end quantity end quantity is -2/9.

What is quantity?

Quantity is a numerical measure of how much of a particular quantity of something is available. It is used in a variety of contexts, such as mathematics, economics, engineering, and business. In mathematics, quantity is typically expressed as a number, which can be either discrete (limited to certain values) or continuous (capable of taking any value). In economics, quantity is typically expressed as either a quantity of a particular commodity or service, or as a quantity of money. In engineering, quantity is typically expressed as a measure of a particular physical property such as size, weight, or volume. In business, quantity is typically expressed as a number of items, such as inventory or orders.

So the Question is

\((\frac{-1}{6})[3-15(\frac{1}{3}) ^{2}]\\ \\(\frac{-1}{6} )[3-15(\frac{1}{9} )]\\\\(\frac{-1}{6} )[\frac{27-15}{9} ]\\\\\frac{-12}{54}\\ \\\frac{-2}{9}\)

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An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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By finding the maximum number of yards, then feet, then inches, if the input is 50, then the output is 1 yard, 4 feet, and 2 inches.

To convert a length in inches to yards, feet, and inches

Note the followings:

There are 12 inches in a foot and 3 feet in a yard.

Divide the total length in inches by 36 (the number of inches in a yard) to find the number of yards, then take the remainder and divide it by 12 to find the number of feet, and finally take the remaining inches.

Given that, the input is 50 inches, the output  will be

Maximum number of yards: 1 (since 36 inches is the largest multiple of 36 that is less than or equal to 50)

Maximum number of feet: 4 (since there are 12 inches in a foot, the remainder after dividing by 36 is 14, which is equivalent to 1 foot and 2 inches)

Remaining inches: 2 (since there are 12 inches in a foot, the remainder after dividing by 12 is 2)

Therefore, 50 inches is equivalent to 1 yard, 4 feet, and 2 inches.

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Answer: 1649

Step-by-step explanation:

Answer:

1649

5×5×5×5 + 4×4×4×4×4

The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

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Answer:

the answer is C

product of 2 irrational numbers is irrational

Step-by-step explanation:

√6 is irrational number, and

4√3 is also irrational number

√6 • 4√3 = 4√18

= 4×3√2 = 12√2

so, 12√2 is irrational number.

the correct answer is

C The product of two irrational numbers is irrational.

When Jake and Nico both measured their thumbs and  Jake's thumb is 55 millimeters long. Nico's thumb is 5.7 centimeters long then the person that have longer thumb is Nico.

Note that 1 cm equals 10 mm,

Given that  Jake's thumb is 55 millimeters long

Then let X be the length of Jake's thumb in cm

1 cm=10 mm

Xcm = 55 mm

X = 5.5 cm

Then Jake’s thumb is only 5.5 cm.

Then e difference in their thumb =5.7 -5.5 =0.2, Hence the thumb of Nico is longer.

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1.if tip included in fare, total amount paid by Angela =(55$/x) +8$

if tip is not included in fare than total amount paid by angela = (63$/x)+8$

Explanation :-

According to qus

Total friends included Angela = x

Total fare paid by them =63$

If tip included in total fare, than total fare without tip=63-8

= 55$

Sothat,

amont paid by individual =total fare /total friends. 55$/x

If tip not include in total fare than total amount paid by individual =63$/x

The formula for finding the total surface area of ​​the faces of a cylindrical container is 2r(h + r), where r is the radius of the circular base of the cylinder and h is its height.

The cylindrical container has two rounded bottoms and a curved surface. We need to take these two things into account to get the total surface area of ​​the cylindrical container.

The equation for the all-out region of a barrel-shaped compartment is 2r(h + r), where r is the span of the round base and h is the level of the chamber.

The region (2πrh) of a bent surface of a chamber can be gotten by adding the regions (2πr²) of the upper and lower roundabout surfaces. The area of ​​each cylindrical face is taken into account in the resulting formula.

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The question is -

What is the formula for calculating the total surface area of the faces of the cylindrical container?

Answer:

45f.

Step-by-step explanation:

home is 60f.cold

we turn heat in order to raise the temprature by15

and 60minus 15 is 50

Answer:

75f

Step-by-step explanation:

since you raise the temperature you need to add those 2numbers together so 60+15=75f degrees

Answer: 16

Step-by-step explanation:

\(f(x)=x^2 + 2x + 1\)

Since the coefficient of x^2 is 1, we know that the graph does *not* open downwards. However, the graph has been shifted left and right. This will make the maximum occur at a different place than normally.

Specifically, it has been shifted to the left, by 1 unit.

So the maximum will occur at x = 3.

lets plug in:

\(f(3)=(3)^2 + 2(3) + 1\)

\(f(3)=9 + 6 + 1\)

\(f(3)=16\)

The largest y valye is 16

Answer:

16

Step-by-step explanation:

The rate of change of function given by the table is equal to 1.

To find the rate of change of a function given by a table, we need to look at the change in the output (y) with respect to the change in the input (x). In this table, we can see that as x increases by 1, y increases by 1. Therefore, the rate of change of the function is 1/1 or simply 1.

This means that for every unit increase in x, there is a corresponding unit increase in y. Another way to interpret this is that the function has a constant rate of change, which means that it is a linear function. We can verify this by plotting the points on a graph and seeing if they form a straight line.

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Answer: 59 degrees

Step-by-step explanation:

90-31=59

Answer: 20

Step-by-step explanation: 80 - 60= 20

i hop thats what ur asking?

Answer:

48

Step-by-step explanation:

Divide 80 divided by 5= 16 x 3 = 48 hoped this helped :)