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MatroZZZ [7]
3 years ago
9

The digits 4​, 5​, 6​, 7​, and 8 are randomly arranged to form a​ five-digit number, Find the probability that the first and las

t digits of the number both are odd.
Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

5,4,6,7

Step-by-step explanation:

The digits 4​, 5​, 6​, 7​, and 8 are randomly arranged to form a​ five-digit number. Complete parts​ (a) and​ (b) below.

 

​(a) Find the probability that the number is odd.

The probability that the number is odd

​(Type an integer or a simplified​ fraction.)

​(b) Find the probability that the first and last digits of the number both are odd.

The probability that the first and last digits of the number both are odd is  

.

​(Type an integer or a simplified​ fraction.)

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Quadratic formula to find the zeros <br> b^2-4b+4=0
Lunna [17]

Answer:

Step-by-step explanation:

Remark

I don't think you need the quadratic formula for this equation. It just factors into (b - 2)(b - 2), but I'll do it because you requested it.

Formula

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

Givens

a = 1

b = - 4

c = 4

Solution

x = - - 4 +/- sqrt((-4^2) - 4*1*4)

       ====================

                   2*1

x = 4 +/- sqrt (16 - 16)

          ==========

              2

x = 4/2

x = 2

There are 2 roots but both of them are the same. Some teachers say there is only 1 root. I'm in that group.

5 0
3 years ago
2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and
Rashid [163]

Answer:

B is True

A, C. D are false

Step-by-step explanation:

Given :

Sample size, n = 120

Mean diameter, m = 10

Standard deviation, s = 0.24

Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96

The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.

The population here is N = 10000

To obtain

Confidence interval (C. I) :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.96 * 0.24/sqrt(120)

Confidence interval for the 10,000 ball bearing :

10 ± 1.96 * (0.24) / sqrt(120)

Hence. The confidence interval defined as :

10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.

4 0
3 years ago
PLZ HELP!! I REWARD BRAINLIEST. plz no silly answers i grinded for these points
Tasya [4]

Answer:

  • 180° - 1/2(α + β)

Step-by-step explanation:

<u>The two angles of the triangle ADB are:</u>

  • m∠A/2 and m∠B/2 or
  • α/2 and β/2

<u>The three interior angles add to 180°, so the missing angle is:</u>

  • m∠ADB = 180° - 1/2(α + β)
5 0
3 years ago
A number increased by 24 is 112. what is the number
dexar [7]
I believe the correct number is 88.
8 0
3 years ago
A lamp shade has a radius of 9 inches. What is the circumference of the top of the shade? Use 3.14 to approximate pi. Round your
Black_prince [1.1K]

c = circumference pi = 3.14 r = radius = 9 inches d = diameter c=pi*d The radius is half of the diameter, d = 2r. Then d = 2*9=18. plug into equation. c= pi*d = 3.14*18 round accordingly and you may want to include that the measurement you end up with is in inches.

4 0
3 years ago
Read 2 more answers
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