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zvonat [6]
3 years ago
11

Dustin has a spinner that is divided into 5 equal-size sections colored pink, blue, orange, white, and green. What is the probab

ility that Dustin spins pink on the 1st spin and then spins a color other than pink on the 2nd spin?
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

Answer:

1/6

Step-by-step explanation:

1st spin:

1 out of the 5 sections are pink, so the probability of spinning a pink on the 1st spin is 1/5.

2nd spin:

5 out of the 6 sections are not pink, so the probability of spinning a pink on the 2nd is 5/6.

Multiply the probabilities of the two spins to get the answer.

\frac{1}{5} *\frac{5}{6} =\frac{5}{30} =\frac{1}{6}

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random sample has been taken from a normal population and two confidence intervals constructed using exactly the same data. The
Zepler [3.9K]

The sample mean of the random sample is 50

The margin of error (E) is the amount of error allowed in the random sample.

The confidence interval (CI) is given by:

CI = μ ± E = (μ - E, μ + E)

Given a confidence interval of (38.02, 61.98), hence:

μ - E = 38.02     (1)

μ + E = 61.98     (2)

Hence solving equations 1 and 2 simultaneously gives:

μ = 50, E = 11.98

Hence the sample mean of the random sample is 50

Find out more at: brainly.com/question/24131141

5 0
3 years ago
Show that the equation x^3+7x-4=0 has a solution between x=0 and x=1
Aleksandr [31]

Step-by-step explanation:

Using the Intermediate Value Theorem, the following is applied:

"If f(x) is a continuous on interval [a,b] and we have two points f(a) and f(b) then there must be some value c such that f(a)<f(c)<f(b).

So here there must be a c such that

f(0) < f(c) < f(1)

Note: F(c)=0, the questions that the function have a solution between 0 and 1, so that means we must have some value, c such that f(c)=0 that exists

Next, plug in the x values into the function

f(0)  =  - 4

f(1) =  {1}^{3}  + 7(1) - 4 = 4

Since cubic functions are continuous and -4<0<4, then there is a solution c that lies between f(0) and f(1)

3 0
2 years ago
Find the slope of the line. pleaseee
Akimi4 [234]

Answer:

  0

Step-by-step explanation:

The slope is the change in y divided by the corresponding change in x:

  ∆y/∆x = (54.99 -54.99)/(7 -6) = 0/1 = 0

The slope of the line is zero.

7 0
3 years ago
Which angle is supplementary to &lt;LSO? A. &lt;MSN B. &lt;OSN C. &lt;LMN D. &lt;LOM
Kipish [7]

( B)  ∠OSN is the correct answer.

As we know two angles are Supplementary if sum of that two angles is 180° or they form a linear pair

The meaning of linear pair is that the two angles should be such that the non common arms should lie on opposite side of the common arm and at the point of intersection of two angles have the same vertex. Also the two non common arms should form a line.

SO IF ONE ∠ IS  Ф° OTHER SHOULD BE 180-Ф°. FOR EXAMPLE ON ∠ IS 60° OTHER WILL BE 180-60°=120°

Supplement of

1.45°=135°

2.70°=110°


3 0
4 years ago
Read 2 more answers
marshal had a full bottle of water when he started. in the first hour he drank 1/4 of the water during the second hour he drank
Lyrx [107]
1/4 left or he has 25% left


8 0
3 years ago
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