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frozen [14]
3 years ago
7

Ronald spins a spinner that has 10 sections numbered from 1 to 10. What is the probability that the spinner lands on a prime num

ber?
A.) 1/10
B.) 2/10
C.) 2/5
D.) 1/2
Mathematics
2 answers:
vladimir1956 [14]3 years ago
5 0
Prime number is a whole number that has no possible divisors that 1 and itself. Prime numbers are 2, 3, 5.7.11,13,17,19,23 and 29. From 1 to 10 there are 3 prime numbers: 3,5 and 7. 
The probability can be calculated as the ratio between the number of "good" events and the total number of possible events. There are three "good" events (3,5 or 7) and 10 total events, so the probability that the spinner lands on a prime number is: 3/10. So, none of the given options is true.
Igoryamba3 years ago
3 0

The answer would be 2/5.

                                                 Hope I helped!! :)

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Which of the following represents the correct calculation of the sampling interval?
Goshia [24]

Answer:

The correct answer is

d. Sampling Interval = Population size ÷ Sample size.

Step-by-step explanation:

According to Johnstone et al., (2014) "<em>Once the auditor has determined the appropriate sample size, a sampling interval is calculated by dividing the population size by the sample size.</em>"

Thus,

Sampling Interval = Population size ÷ Sample size.

Johnstone, K., Rittenberg, L. and Gramling, A. (2014). <em>Auditing: A Risk-Based Approach to Conducting a Quality Audit.</em> Ninth Edition.

4 0
4 years ago
2 less than 3 times a number greater than 10. Write as inequality
vesna_86 [32]

Answer:

2<3x>10

Step-by-step explanation:

2<3x>10

6 0
3 years ago
What is the circumference of a circle with a diameter of 9 inches.
Dennis_Churaev [7]

Answer:

28.26 inches

Step-by-step explanation:

Given

diameter (d) = 9 inches

circumference (c)

= π d

= 3.14 * 9

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8 0
3 years ago
Y''-6y'+9y=t y(0)=0 y'(0)=1
notka56 [123]
L[ y(t) ] = Y(s) 

L[ y' ] = sY-y(0) = sY-0 = sY 

L[ y'' ] = s^2*Y - sy(0) - y'(0) = s^2*Y - 1 

laplace trasform both sides 

L[ y'' - 6y' + 9y ] = L[ t ] 

= L[ y'' ] - 6 L[ y' ] + 9 L[ y ] = 1/s 

= [ s^2*Y - 1 ] - 6[ sY ] + 9Y = 1/s 

( s^2 - 6s + 9 ) Y - 1 = 1/s 

⇒ ( s^2 - 6s + 9 ) Y = (1/s) + 1 

⇒Y = [ 1 / ( s(s^2 - 6s + 9 ) ) ] + [ 1 / ( s^2 - 6s + 9 ) ] 

Let inverse laplace trasform , find y(t) : 

y(t) = L^(-1)[ Y(s) ] = L^(-1) { [ 1 / ( s(s^2 - 6s + 9 ) ) ] + [ 1 / ( s^2 - 6s + 9 ) ] } 

= [ (1/3)*t*e^(3t) - (1/9)*e^(3t) + (1/9) ] + [ t*e^(3t) ] 

= (4/3)*t*e^(3t) - (1/9)*e^(3t) + (1/9)
6 0
3 years ago
Read 2 more answers
If F(x)=4x-3over7,which of the following is the inverse of F(x)
polet [3.4K]

Answer:

let g be f(x)

g= <u>4</u><u>x</u><u> </u><u>-</u><u>3</u>

. 7

make x the subject

<u>7</u><u>g</u><u> </u><u>+</u><u>3</u><u>. </u> =x

4

the inverse function of f(x) = <u>7</u><u>x</u><u>+</u><u>3</u>

4

7 0
3 years ago
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