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Jobisdone [24]
3 years ago
6

Ophelia spins each of the three shown spinners once. What is the probability that the first spinner will land on A, the second o

n 4, and the third on Green? Enter your answer as a fraction in simplest form. Use / to write your fraction.
Mathematics
1 answer:
loris [4]3 years ago
7 0

Answer:

1 /24

Step-by-step explanation:

Given the 3 spinners :

Probability = required outcome / Total possible outcomes

Probability that Spinner 1 lands on A :

P(spinner 1 lands on A) = 1/2

Probability that spinner 2 lands on 4 :

P(lands on 4) = 1 / 4

Probability that spinner 3 lands on green :

P(lands on green) = 1/3

Combined probability = 1/2 * 1/4 * 1/3 = 1 /24

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weeeeeb [17]

How many capsules will make out of 1 kilo

123572654456

6 0
3 years ago
The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience h
Ganezh [65]

Answer:

H0: μ = 100 ; H1: μ > 100 ;

Test statistic = 0.75 ;

We fail to reject null ;

Kindly check explanation for the rest

Step-by-step explanation:

Given that :

H0: μ = 100

H1: μ > 100

Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4

Test statistic :

(x - μ) ÷ s/sqrt(n)

(100.6 - 100) ÷ 2.4 / sqrt(9)

0.6 ÷ 0.8 = 0.75

Probability of not rejecting the null :

P = P(Z > 0.75) = 0.22663

α = 0.05

Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi

μ + Zcritical*s/sqrt(n)

Zcritical at (1 - α) = 1.645

100 + 1.645*(2.4/3)

100 + 1.316 = 101.316

(x - μ) ÷ s/sqrt(n)

(101.316 - 102) ÷ 2.4 / sqrt(9)

-0.684 ÷ 0.8 = 0.75

= - 0.855

P(Z < - 0.855) = 0.1963 (Z probability calculator).

95% lower confidence interval :

x - error margin, E

E = Zcritical * s/sqrt(n)

E = 1.645 * 0.8 = 1.316

100.6 - 1.316 = 99.284

From part c :

Interval becomes ;

(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.

8 0
3 years ago
In equilateral triangle RST, R has coordinates (0, 0) and T has coordinates of (2a, 0). Find the coordinates of S in terms of a.
FromTheMoon [43]
The x  coordinate of S will be 1/2 * 2a = a.
and since  the half triangle is 30-60-90 the y coordinate will be sqrt3 a

so S  is (a , sqrt3a)
4 0
3 years ago
Read 2 more answers
18°+2, what is the value of y?
Travka [436]

Answer:

Were is y located at?

Step-by-step explanation:

5 0
3 years ago
What is the equation of the line that passes through the point (6,3) has a slope of -1/3
DerKrebs [107]

Answer:

y = -1/3x + 5

Step-by-step explanation:

y = mx + b

so y = 3, x = 6, m = -1/3

then 3 = (-1/3)6 + b

3 = -2 + b

b = 5

so y = -1/3x + 5

5 0
2 years ago
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