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Alenkasestr [34]
4 years ago
12

Given that x is a whole number, Molly conjectured that x3>3x+3 . Which value is a counterexample to Molly's conjecture?\

Mathematics
2 answers:
stealth61 [152]4 years ago
5 0
C. 2 ............................

sleet_krkn [62]4 years ago
4 0
Ur counter example would mean making that conjecture false.

x^3 > 3x + 3....subbing in 2
2^3 > 3(2) + 3
8 > 6 + 3
8 > 9....this is not true...so ur answer is C. 2
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10) Thirty-seven percent of the American population has blood type O+. What is the probability that at least four of the next fi
lisabon 2012 [21]

Answer:

0.06597

Step-by-step explanation:

Given that thirty-seven percent of the American population has blood type O+

Five Americans are tested for blood group.

Assuming these five Americans are not related, we can say that each person is independent of the other to have O+ blood group.

Also probability of any one having this blood group = p = 0.37

So X no of Americans out of five who were having this blood group is binomial with p =0.37 and n =5

Required probability

=The probability that at least four of the next five Americans tested will have blood type O+

= P(X\geq 4)\\= P(X=4)+P(x=5)\\= 5C4 (0.37)^4 (1-0.37) + 5C5 (0.37)^5\\= 0.06597

7 0
3 years ago
Read 2 more answers
a survey asked 72 randomly chosen students if they were going to attend the school play. twelve said yes. if there are 210 ticke
Ugo [173]
We can solve this by setting up a proportion:

12 seeing the play/ 72 students = 210 seeing the play/ x students

We can cross multiply to solve for x:

(12)x=(72)(210)
12x=15,120
x=1,260 students who attend the school
4 0
3 years ago
If Charlotte spent 25% more on furniture than she will on flooring, how much did she spend on furniture?
SashulF [63]

Answer:

Charlotte spent   x + 0.25x on furniture

Step-by-step explanation:

Given:

Charlotte spent 25% more on furniture than she will on flooring

To Find:

Amount spent on furniture = ?

Solution:

Let the amount spent on flooring be x

and the amount spent on furniture be y

25% more on furniture than she spent on flooring can be written as

=>25% of x

So the cost spent on furniture will be

=>y= cost spent on flooring +  25% of cost spent on flooring

=>y= x + 25% of x

=>y=x + \frac{25}{100} \times x

=> y=x + 0.25x

3 0
4 years ago
Pls help :Find the missing side or angle.<br> Round to the nearest tenth.
Nitella [24]

Answer:

C° = 71.6056

Step-by-step explanation:

Law of Cosines: c² = a² + b² - 2abcosC°

Step 1: Plug in known variables

29² = 30² + 15² - 2(30)(15)cosC°

Step 2: Evaluate

841 = 900 + 225 - 900cosC°

-59 = 225 - 900cosC°

-284 = -900cosC°

71/225 = cosC°

cos⁻¹(71/225) = C°

C° = 71.6056

And we have our answer!

7 0
3 years ago
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A cone has a radius of 4.96 cm and a volume of 102 cm³
horrorfan [7]

Answer:

h= 12/pi OR 3.81972

Step-by-step explanation:

100= \frac{1}{3}5^{2}h

100= \frac{1}{3}\pi 25h

100= \frac{25\pi h}{3}

\frac{12}{\pi } =h

8 0
3 years ago
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