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3 years ago

Find the value of a? A) 3 B) 4 C) 6 D) 9

Mathematics

2 answers:

valentinak56 [21]3 years ago

6 0

Answer:

a is 3 squares tall, so the answer would be A) 3

UNO [17]3 years ago

5 0

Answer: 3

Step-by-step explanation:

The area of a^2 is 9 units. To find the area of this shape, use the formula a=l•w. We already know that the area is 9. 3•3=9, which in turn can be filled into the area formula. This means that the side (a) must be 3.

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Re write this expression 4(6 x +12)

77julia77 [94]

Answer:

24 (x + 2)

24x + 48

these are two ways to rewrite the expression

4 0

2 years ago

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It is known that 10% of the 9-year old children in a town have three siblings. Fifteen 9-year old children are selected at rando

inn [45]

Using the binomial distribution, it is found that there is a 0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, for the parameters, we consider that:

10% of the 9-year old children in a town have three siblings, hence p = 0.1.

Fifteen 9-year old children are selected at random, hence n = 15.

The probability that more than 3 of these selected children have three siblings is given by:

$P(X > 3) = 1 - P(X \leq 3)$

In which:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059$

$P(X = 1) = C_{15,1}.(0.1)^{1}.(0.9)^{14} = 0.3432$

$P(X = 2) = C_{15,2}.(0.1)^{2}.(0.9)^{13} = 0.2669$

$P(X = 3) = C_{15,3}.(0.1)^{3}.(0.9)^{12} = 0.1285$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.2059 + 0.3432 + 0.2669 + 0.1285 = 0.9445$

P(X > 3) = 1 - 0.9445 = 0.0555

0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

More can be learned about the binomial distribution at brainly.com/question/24863377

5 0

2 years ago

Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is pai

Sedbober [7]

B) 35x + 15 = 155
E) It will take 4 months to pay off the debt.
Hope this helps you!

3 0

3 years ago

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A broken faucet leaks 1 gallon of water every 1 and1/3 months the amount of months that pass m varies directly with the amount o

Simora [160]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{\underline{m} varies directly with the amount of gallons}\implies \stackrel{months}{m}=k\stackrel{gallons}{g}
\\\\\\
\textit{we also know that }
\begin{cases}
m=1\frac{1}{3}\\
\qquad \frac{4}{3}\\
g=1
\end{cases}\implies \cfrac{4}{3}=k1\implies \cfrac{4}{3}=k
\\\\\\
\boxed{m=\cfrac{4}{3}g}\\\\
-------------------------------\\\\
\textit{what's \underline{m} when g=7?}\qquad m=\cfrac{4}{3}\cdot 7\implies m=\cfrac{28}{3}\implies m=9\frac{1}{3}$

6 0

3 years ago

Simplify the expression (3+i)(2+i)

vovikov84 [41]

Answer:

Step-by-step explanation:

hello :

(3+i)(2+i) = 6+3i+2i+i² but : i² = -1

(3+i)(2+i) = 5+5i

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3 years ago

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