Mathematics, 06.05.2020 17:03 ausemkattom3034

It is equally probable that the pointer on the spinner shown will land on any one of eight regions, numbered 1 through 8. If the pointer lands on a borderline, spin again. Find the probability that the pointer will stop on an odd number or a number greater than 5.

Answers: 1

Show answers

Answers

Answer from: lLavenderl

Probability that the pointer will stop on an odd number or a number greater than 5 is 0.75.

Step-by-step explanation:

We are given that it is equally probable that the pointer on the spinner shown will land on any one of eight regions, numbered 1 through 8.

And we have to find the probability that the pointer will stop on an odd number or a number greater than 5.

Let the Probability that pointer will stop on an odd number = P(A)

Probability that pointer will stop on a number greater than 5 = P(B)

Probability that pointer will stop on an odd number and on a number greater than 5 = $P(A\bigcap B)$

Probability that pointer will stop on an odd number or on a number greater than 5 = $P(A\bigcup B)$

Here, Odd numbers = {1, 3, 5, 7} = 4

Numbers greater than 5 = {6, 7, 8} = 3

Also, Number which is odd and also greater than 5 = {7} = 1

Total numbers = 8

Now, Probability that pointer will stop on an odd number = $\frac{4}{8}$ = 0.5

Probability that pointer will stop on a number greater than 5 = $\frac{3}{8}$ = 0.375

Probability that pointer will stop on an odd number and on a number greater than 5 = $\frac{1}{8}$ = 0.125

Now, $P(A\bigcup B) = P(A) +P(B) -P(A\bigcap B)$

= 0.5 + 0.375 - 0.125

= 0.75

Hence, probability that the pointer will stop on an odd number or a number greater than 5 is 0.75.

Answer from: Quest

I’m pretty sure the answer is a

Answer from: Quest

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in $\delta bea$ and $\delta dea$ ;

$ba=da$ , as these are radii of our given circle.

$ea=ea$

therefore, $\delta bea\cong \delta dea$ by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

$3x-24=x+10$

$3x-x=24+10$

$2x=34$

$x=\frac{34}{2}$

$x=17$

now let us substitute x=17 in the expression for the length of be.

$\text{length of be}=3x-24$

$\text{length of be}=3\cdot 17-24$

$\text{length of be}=51-24$

$\text{length of be}=27$

therefore, length of be will be 27 units and option c is the correct choice.

In circle a, ∠bae ≅ ∠dae. what is the length of be? 14 units 17 units 27 units 34 units

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Will used 20 colored tiles to make a design in art class. 5/20 of his tiles were red. what is an equivalent fraction for the red tiles?

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

Plz a. s. a. p.the table shows the number of male and female contestants who did not win a prize. what is the probability that a randomly selected contestant won a prize, given that the contestant was female? write the probability as a percent. round to the neares tenth, if needed.

Answers: 1

Answer

Mathematics, 21.06.2019 18:50

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

How many solutions does the nonlinear system of equations graphed below have? a. one b. zero c. four d. two

Answers: 2

Answer

You know the right answer?

It is equally probable that the pointer on the spinner shown will land on any one of eight regions,...