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lys-0071 [83]
3 years ago
12

Solve -3/4(8k-24)>-12

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

-\dfrac{3}{4}(8k-24) > -12\ \ \ \ |\teext{change the signs}\\\\\dfrac{3}{4}(8k-24) < 12\ \ \ \ |\cdot\dfrac{4}{3}\\\\8k-24 < 12\cdot\dfrac{4}{3}\\\\8k-24 < 4\cdot4\\\\8k-24 < 16\ \ \ \ |+24\\\\8k < 40\ \ \ \ |:8\\\\k < 5\to k\in(-\infty;\ 5)

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ZanzabumX [31]

The square root of pi is 1.77245385091.

4 0
2 years ago
I need help with number 10
lukranit [14]
A)
Knights:
25n-C+1250=0
25n+1250=C
C=25n+1250

Legions:
30n+995-C=0
30n+995=C
C=30n+995

b)
fixed cost=b in y-intercept form
variable cost, dependent on n=m in y-intercept form
Knights:
fixed=1250
variable=25

Legions:
fixed=995
variable=30

c)
insert 45 into n for both formulas:

Knights:
25*45+1250=1125+1250=2375

Legions:
30*45+995=1350+995=2345

d)With 45 guests the Legion's Banquett Hall is cheaper, but due to the higher variable cost this changes with a few more people.
calculate break even point:
difference in variable cost=5 -> per person the cost difference will decrease by this much if another person joins
current price difference: 2375-2345=30
30/5=6 -> if there are 6 additional guest (total= 51) they will cost the same
if there are more than 6 additional guest (total >51) the knight's banquett will be cheaper.


6 0
3 years ago
10.5% of the population is 65 or older. Find the probability that the following number of persons selected at random from 25 peo
julia-pushkina [17]

Given:

The sample size n=25

Probability of population is 65 or older is 10.5%.

This date follows the binomial distribution,

\begin{gathered} n=25,p=0.105 \\ X\rightarrow B(n=25,p=0.105) \end{gathered}

To find the probability that at most 2 are 65 or older,

\begin{gathered} P(X=x)=^nC_x(p)^x(1-p)^{n-x} \\ P(0\leq X\leq2)=P(X=0)+P(X=1)+P(X=2) \\ =^{25}C_0(0.105)^0(1-0.105)^{25-0}+^{25}C_1(0.105)^1(1-0.105)^{25-1}+^{25}C_2(0.105)^2(1-0.105)^{25-2} \\ =0.0625+0.1832+0.2579 \\ =0.5036 \\ \approx0.504 \end{gathered}

Answer: Probability is 0.504 .

8 0
1 year ago
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
bija089 [108]

Answer:

14

Step-by-step explanation:

(9x + 10)° = 136°

9x + 10 = 136

9x = 126

x = 14

5 0
3 years ago
Read 2 more answers
Which of the following statements is true? a. A 30 year fixed mortgage will always result in the lowest payment. b. You must hav
saw5 [17]

Answer:

The correct answer is option C.

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The lower your interest rate is, the lower your monthly payments are. This is true. The interest rate is directly proportional to monthly or yearly payments. If the rates are high, the installments are high and if the rate of interest is low, the installments are lower.

6 0
3 years ago
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