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3 years ago

The length and width of a rectangular patio are, (x + 8) feet and (x + 6) feet,

Mathematics

2 answers:

Leni [432]3 years ago

6 0

Answer:

Area = length x width

160 = (x+8)(x+6)

160 = x2 + 14x + 48

x2 + 14x - 112 = 0 and solve with the quadratic formula and get x=-7+sqrt(161)

Step-by-step explanation:

Igoryamba3 years ago

3 0

Answer: x = √73

Step-by-step explanation: Ration = (x+8) : (x+6)

Let x be the length and breadth

Length = (x+8)x

breadth = (x+6)x

Area = 160 feet sq.

= (x+8)x = x² + 8x = length

(x+6)x = x²+6x = breadth

→x²+8x+x²+6x = 160

2x²+14 = 160

2x² = 146

x² = 73

x= √73

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Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insu

IceJOKER [234]

Answer:

A. 0.0049

B. Yes

Step-by-step explanation:

Sample proportion = 0.64

N = 1000

Population proportion = 0.60

We solve for standard deviation

= √p(1-p)/n

= √0.60(1-0.60)/1000

= √0.60x0.40/1000

= √0.00024

= 0.0155

The probability of sample >=0.64

Z>=0.64-0.60/0.0155

Z >= 0.04/0.0155

So z >= 2.5806

Using excel this equal to 0.0049

0.0049 is probability of sample proportion being 0.64 at least.

This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.

3 0

2 years ago

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

sergejj [24]

Answer:

Kerri

calculate z scores z= (x - xbar)/stdev

Kerri = 1.7

Cade = .7

Vincent = 1

Step-by-step explanation:

6 0

2 years ago

What is 1/2 + 4/3 + 3/2 + 4/3 + 10/6 = ??<br> (they are fractions)

Jet001 [13]

6 and 1/3 or 19/3 or if you need the decimal 6.3 repeating

4 0

2 years ago

Read 2 more answers

Point A(3,2) is on a circle whose center is C(−2,3). What is the radius of the circle?

goldfiish [28.3K]

Answer:

The radius of the circle is √26.

Step-by-step explanation:

Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.

To find the distance between two points, the following equation should be used:

$x^{2} =(x_{A}- x_{C}) ^{2} + (y_{A}- y_{C}) ^{2}$

Replacing the numeric values:

$r^{2} =(3- (-2)) ^{2} + (2-3) ^{2}\\r^{2} =(5) ^{2} + (-1) ^{2}\\r=\sqrt{26}$

The radius of the circle is √26.

6 0

3 years ago

A car wheel has a radius of 16 inches. Through what angle ( to the nearest tenth of a degree ) does the wheel turn when the car

olya-2409 [2.1K]

First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.

Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.

Since the radius is 16 inches, the circumference will be

$C=2\pi r = 32\pi$

So, we have the following proportion:

$360\div 32\pi = x \div 48$

that you can read as: "if an angle of 360 corresponds to a distance travelled of $32\pi$ , then the unknown angle x corresponds to a distance travelled of 48 inches.

Solving for x, we have

$x = \dfrac{360\cdot 48}{32\pi} = \dfrac{17280}{32\pi} = 171.887338539\ldots \approx 171.9$

5 0

3 years ago