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just olya [345]
3 years ago
14

Factor the trinomial: -2x²-16x-24

Mathematics
1 answer:
Liula [17]3 years ago
8 0
-2x^2-16x-24


<u />-2x^2-12x-4x-24
-2x(x+6)-4(x+6)
(-2x-4)(x+6)
-2(x+2)(x+6)
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Population mean = 80
alexira [117]

Answer:

The answer is : 0.0597

Step-by-step explanation:

Population mean = μ = 80

Standard deviation = σ = 20

Sample = N = 60

σ_mean = σ/√N

= (20)/√(60) = 2.582

Now we will find z1 and z2.

z1 = {(84) - μ}/σ_mean = {(84)-(80)}/(2.582)= 1.549

z2 = {(88) - μ}/σ_mean = {(88)-(80)}/(2.582)= 3.098

Now probability that the sample mean will be between 84 and 88 is given by:

Prob{ (1.549) ≤ Z≤ (3.098) } = (0.9990) -(0.9393) = 0.0597

4 0
3 years ago
Which of the following is a reason people sometimes use mean or median to misrepresent the “average” of a set of data?
PIT_PIT [208]
The answer to this question is option D(<span>In data sets with outliers, either the mean or median can be used to make the data set appear more favorable to their agenda</span>
8 0
3 years ago
Read 2 more answers
Find two positive real numbers with the given sum whose product is a maximum. The sum of the first and twice the second is 24
Elenna [48]
Y+2x=24
product is max
xy=max

we have
y+2x=24
minus 2x both sides
y=24-2x
sub that for y in xy=max
(24-2x)(x)=max
-2x^2+24x=max
we have a parabola opening down
the coordinates of the vertex is our answer

the x value of the vertex is -b/2a where
ax^2+bx+c=y

-24/2(-2)=-24/-4=6
xvalue=6

we can just sub
y=24-2x
y=24-2(6)
y=24-12
y=12
the numbers are 6 and 12
the product is 72



the numbers are 6 and 12
5 0
4 years ago
Maury and Tyra are making phone calls to state representatives' offices to lobby for an issue. Muary can call all 120 state repr
oee [108]
Maury = 120/10 (12 calls/hour)
Tyra = 120/8 (15 calls/hour)

Together they are 27 calls per hour.
120 / 27 = 4.4444444444

So it'd take them 4.44444444 (recurring) hours to make 120 calls.
6 0
3 years ago
A. Find the volume of a rectangular room measuring 22.75 ft. x 30 ft. x 14 ft.
Dmitrij [34]

Answer:

12 BTU

Step-by-step explanation:

3 0
3 years ago
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