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oksian1 [2.3K]
4 years ago
12

Fill in the blanks please

Mathematics
1 answer:
hoa [83]4 years ago
5 0
For a given distribution of data, the sum of the relative frequencies is 1.

Thus, the completed table of relative frequencies is gives as:

Outcome      1      2      3      4      5
Rel. Freq.   0.1   0.1   0.3   0.1   0.4


Part a:

P({2, 3, 4}) = 0.1 + 0.3 + 0.1 = 0.5


Part b: 

P(E') where E = {3, 4}

= 1 - P({3, 4}) = 1 - (0.3 + 0.1) = 1 - 0.4 = 0.6
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The end points of line segment AB are A(3, -12) and B(6, k) what is the value of k if the slope of a line segment is -2? Show yo
lyudmila [28]
Two points determine a line.  In slope intercept form we have:
y = -2x + b

So:
-12 = -2(3) + b  and [first equation]
k = -2(6) + b [second equation]

We have a system of simultaneous equations with two unknowns.  The first is trivially easy to solve:

-12 = -6 + b  [Evaluate -2(3)]
-6 = b  [Add +6 to each side]

So we substitute this into the second equation:
k = -2(6) + -6 = -18

We could double check our work knowing that m=Δy/Δx

We expect m to be -2.  Does:
-2 = (-18 - -12)/(6 - 3) = -6/3 = -2?

;)

7 0
3 years ago
The diagram shows a square of side 7 cm with two quadrants drawn inside. Find the area of the shaded region. (take pi= 22/7)
Step2247 [10]
The area of the shaded region:
A = r ² π - a²
where: r = d/2 = 7√2 / 2
A = ( 7√2 / 2 )² · 22/7 - 7²
A = 49 · 2 / 4  · 22/7 - 49
A = 49/2 · 22/7 - 49
A = 7 · 11 - 49
A = 77 - 49
Answer: A (shaded) = 28 
4 0
3 years ago
Mack rolled two number cubes. What is the probability that the sum of the numbers Mack rolled is either 6 or 8?
vodomira [7]
4/36 im thinking. not sure though
4 0
4 years ago
Solve for x: 5 − (x 5) > −2(x 4) a.x > −8 b.x < −8 c.x > −18 d.x < −18
Tanya [424]
Hello,

In US, you don't know the sign "+"?

5-(x+5)>-2(x+4)
==>5-x-5>-2x-8
==>x>-8

Answer A

4 0
3 years ago
Jenny bought scrapbooking supplies for $156.50. She paid $10.17 in sales tax. What was the sales tax rate on the supplies? If ne
Lapatulllka [165]

Answer:

6.5%

Step-by-step explanation:

sales price x sales tax rate = sales tax

156.50 x sales tax rate = 10.17

sales tax rate = 10.17/156.50

sales tax rate = .065 or 6.5%

7 0
3 years ago
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