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3 years ago

Cole said All prime numbers are odd and all composite numbers are even do you agree with cole?

2 answers:

4 0

All prime numbers are odd except for the number two. A prime number is defined as any whole number greater than one that has no positive divisors except for one and itself. Since two can only be divided by the numbers one and two, it is prime. The composite numbers are integers having at least two prime factors, whereas a prime number has a single prime factor (itself), and the unit 1 has no prime factors at all. For example, 10 is composite, as it has two prime factors (2 and 5). 11 is notcomposite, since its only prime factor is itself.

Anit [1.1K]3 years ago

3 0

A prime number is such that it is divisible by only itself and one. ... Two is a prime because it is divisible by only two and one. All the other even numbers are not prime because they are all divisible by two. That leaves only the odd numbers.

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A motorcycle and a car leave an intersection at the same time. the motorcycle heads north at an average speed of 20 miles per h

satela [25.4K]

First, determine the distance of the motorcycle and the car from the start point. The distance could be determined using
$\boxed{d=v \times t}$
d stands for distance, v stands for speed, t stands for time

The car
d = 48 × t
d = 48t

The motorcycle
d = 20 × t
d = 20t

At the end of t hours, the car is 48t miles (east) from the start point and the motorcycle is 20t miles (north) from the start point.

Second, determine the distance between 48t miles at east and 20t miles at north using pythagoras
distance = $\sqrt{(48t)^{2}+(20t)^{2}}$
distance = $\sqrt{2304t^{2}+400t^{2}}$
distance = $\sqrt{2704t^{2}}$
distance = 52t

The expression for their distance apart at the end of t hours is 52t

7 0

3 years ago

Which equation represents a circle with a center at (2,-3) and a radius of 11

Verdich [7]

Answer:

x^2-4x+y^2+6y-108=0

Step-by-step explanation:

$The- equation- of- circle- with -center- at- (h,k) -and -a -radius- of- r -is: \\(x-h)^2 +(y-k)^2 = r^2\\h = 2 , \\ k = -3\\r = 11\\(x-2)^2+(y-(-3))^2 = 11^2\\(x-2)^2+(y+3)^2 = 121\\x^2-4x+4 +y^2+6y+9 = 121\\x^2 -4x+y^2+6y+4+9=121\\x^2 -4x+y^2+6y+13=121\\x^2 -4x+y^2+6y=121-13\\x^2 -4x+y^2+6y= 108\\x^2 -4x+y^2+6y-108 = 0$

8 0

3 years ago

A study of the career paths of hotel general managers sent questionnaires to an SRS of 280 hotels belonging to major U.S. hotel

const2013 [10]

Answer and Step-by-step explanation:

we have the following data:

Point estimate = sample mean = \ bar x = 12.39

Population standard deviation = \ sigma = 3.7

Sample size = n = 177

a) the margin of error with a 90% confidence interval

α = 1 - 90%

alpha = 1 - 0.90 = 0.10

alpha / 2 = 0.05

Z \ alpha / 2 = Z0.05 = 1,645

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 1.645 * (3.7 / \ sqrt177)

Outcome:

E = 0.46

b) margin of error with a 99% confidence interval

α = 1-99%

alpha = 1 - 0.99 = 0.01

alpha / 2 = 0.005

Z \ alpha / 2 = Z0.005 = 2,576

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 2,576 * (3.7 / \ sqrt177)

Outcome:

E = 0.72

c) A larger confidence interval value will increase the margin of error.

6 0

2 years ago

11. Mr. Dawley bought 2 Hydroflask water bottles at $2.49 each

Lapatulllka [165]

Answer:

$10.23

Step-by-step explanation:

2 hydroflasks for 2.49 dollars each is equal to $4.98 and 3 Rubik's cubes for 1.75 dollars each is equal to $5.25 and when you add both of them, you get $10.23

5 0

2 years ago

Read 2 more answers

X+-4+2x=14 x= Blank 1:

never [62]

Answer:

Step-by-step explanation:

3x-4=14

3x=14+4

3x=18

x=6

6 0

3 years ago

Read 2 more answers