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3 years ago

St. Augustine grass can grow at the rate of 4 over 7 centimeter per week.

Mathematics

1 answer:

saul85 [17]3 years ago

4 0

(4/7)w = 12/7
w = (12/7) / (4/7)
w = 12/7 * 7/4
w = 84/28 = 3....it would take 3 weeks

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To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in

lukranit [14]

Answer: $\dfrac{26}{27}$

Step-by-step explanation:

Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.

Proportion of success : $p=\dfrac{6}{9}=\dfrac{2}{3}$

Sample size taken by customs oﬃcial : n= 3

Let x be a binomial variable that represents the tablets in the bottle.

Using Binomial probability formula :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

The probability that the traveler will be arrested for illegal possession of narcotics = $P(x\geq1)=1-P(x=0)$

$1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}$

Hence, the probability that the traveler will be arrested for illegal possession of narcotics = $\dfrac{26}{27}$

8 0

3 years ago

Below are a picture of parallel railroad tracks intersecting the parallel edges of a road.

asambeis [7]

X= 130 degrees since 180 is the total minus 50 from above

7 0

3 years ago

It took the carriage 2.5 hours to travel 20 miles. H ow long will it take for the carriage to travel in 12 miles

Tomtit [17]

$\bf \begin{array}{ccll}
hours&miles\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2.5&20\\
h&12
\end{array}\implies \cfrac{2.5}{h}=\cfrac{20}{12}\implies \cfrac{2.5\cdot 12}{20}=h$

6 0

3 years ago

Is this right yes or no

damaskus [11]

Answer:

i am just a little confused but so far its a yes

Step-by-step explanation:

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3 years ago

Read 2 more answers

In ΔLMN, n = 92 inches, ∠N=46° and ∠L=11°. Find the length of l, to the nearest inch.

Vilka [71]

Answer:

24 inches

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

In triangle LMN:

We can find the length of l using sine rule:

$\frac{l}{sinL}=\frac{n}{sinN} \\\\substituting:\\\\\frac{l}{sin(11)}=\frac{92}{sin(46)} \\\\l=\frac{92}{sin(46)}*sin(11)\\\\k=24\ inches \\$

5 0

3 years ago