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3 years ago

What is the mean of these numbers 6,7,11

2 answers:

8 0

$Formula\ for\ mean:\\\\
Mean=\frac{sum\ of\ numbers}{amount\ of\ numbers}\\\\
Mean=\frac{6+7+11}{3}=\frac{24}{3}=8\\\\
Mean\ is\ equal\ to\ 8.$

wolverine [178]3 years ago

6 0

To find the mean we add the numbers and divide by the number of options.
6+7+11/3=6

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The dingram shows a spinner innde up of a picce of card in the shape of a regular pentagon, with a toothpick pushed through its

Anastaziya [24]

Answer:

a) $P(X \leq 3) = 0.99328$

b) 0.6957

Step-by-step explanation:

Let X represent the number of 4's when n = 5 independent spins

each has a probability of 0.2 (i.e p = 0.2)

This notation is represented as:

X $\approx$ Binomial (n = 5, p = 0.2)

Probability of $x$ number of 4's is:

$P(X=x)= (\left \ n \atop x \right) p^x (1-p)^{(n-x)}$

here; $(\left \ n \atop x \right)$ is the combinatorial expression

$(\left \ n \atop x \right)$ = $\frac{n!}{x!(n-x)!}$

$P(X \leq3), n =5 , p = 0.2$

$P(X \leq3) = 1-P(X > 3)$

So; let's first find:

$P(X > 3)$

$= P(3$

$P(X = 4) =( \left \ {{5} \atop {4}} \right. ) (0.2)^4 (1-0.2)^1 \\ \\ P(X = 4) = 5(0.2)^4(0.8)^1 \\ \\ P(X = 4) = 0.0064$

$P(X = 5) =( \left \ {{5} \atop {5}} \right. ) (0.2)^5 (1-0.2)^0 \\ \\ P(X = 5) = 5(0.2)^5(0.8)^0 \\ \\ P(X = 5) = 0.00032$

$P (X=4)+P(X = 5 ) \\ \\ = 0.0064 + 0.00032 = 0.006720 \\ \\ \approx 0.007$

$P(X > 3 ) = 0.00672 \\ \\ P(X \leq 3) = 1- P(X > = 3 ) \\ \\ =1 - 0.00672 \\ \\ = 0.99328$

$P(X \leq 3) = 0.99328$

Given that:

The ratio of boys to girls at birth in Singapore is quite high at 1.09:1

What proportion of Singapore families with exactly 6 children will have at least 3 boys?

Probability of having a boy = $\frac{1.09}{1+1.09}$ = 0.5215

Binomial Problem with n = 6

P(3<= x <=6) = 1 - P(0<= x <=2)

= 1 - binomial (6,0.5215,2)

= 0.6957

5 0

3 years ago

Can someone help me find X of this triangle? thanks :)

tino4ka555 [31]

Since it is an equilateral triangle, all of the sides are the same length.

So, x=14 :)

Hope this helps!

7 0

3 years ago

Read 2 more answers

Bob scored 1/3 of the number of points that bill scored if Bob scored 24 points how many points did Bill score

-Dominant- [34]

Answer:

Bill = 72

Step-by-step explanation:

Since Bob scored 1/3 of the number of points that Bill would have scored if Bob scored 24 points......

24 divided 1/3

= 72

3 0

2 years ago

The Wanting Recognition (WR) Scale provides a quantitative measure of a person's level of need for approval and sensitivity to s

levacccp [35]

Answer:

99% of the confidence level of the mean WR score for all convicted drug dealers

(37.4544, 40.5456)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of the sample(x⁻) = 39

Given a standard deviation of the sample (σ) = 6

Level of significance = 0.01 or 99%

Step(ii):-

99% of the confidence level of the mean WR score for all convicted drug dealers

$(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } ,x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} })$

$(39 -2.576 \frac{6}{\sqrt{100} } ,39 + 2.576 \frac{6}{\sqrt{100} })$

(39 - 1.5456 , 39+1.5456)

(37.4544, 40.5456)

Final answer:-

99% of the confidence level of the mean WR score for all convicted drug dealers

(37.4544, 40.5456)

8 0

3 years ago

3x-2y=13 and 2x+3y=-16

Marysya12 [62]

If youre trying to solve for the variables you have to solve for one of them in one equation first, so if you solved for x in 2x+3y=16 youd get x=8-(3/2)y. Then youd have to sub in that x for the x in the other equation so youd get 3(8-(3/2)y)-2y=13 then solve for y. Once you have the value of y it should be the same in both equations. Plug that new value of y into the equation of youre choosing then sove for x

5 0

4 years ago