Which sequence is represented by = 10 − 29 where x represents the term number and y represents the term?

I’d really appreciate some help :)

olga2289 [7]

Answer/Step-by-step explanation:

The corresponding side lengths of two triangles are always equal. Apply this in solving for x

4. $\frac{9}{6} = \frac{x}{5}$

Cross multiply

$6*x = 5*9$

6x = 45

divide both sides by 6

y = 7.5

5. $\frac{10}{8} = \frac{x}{11}$

Cross multiply

$8*x = 10*11$

8x = 110

divide both sides by 8

x = 13.75

6. $\frac{12}{x} = \frac{7}{4}$

Cross multiply

$x*7 = 12*4$

7x = 48

divide both sides by 7

x = 6.86 (nearest hundredth)

7 0

3 years ago

Find the mean, variance &a standard deviation of the binomial distribution with the given values of n and p.

MrMuchimi

A random variable following a binomial distribution over $n$ trials with success probability $p$ has PMF

$f_X(x)=\dbinom nxp^x(1-p)^{n-x}$

Because it's a proper probability distribution, you know that the sum of all the probabilities over the distribution's support must be 1, i.e.

$\displaystyle\sum_xf_X(x)=\sum_{x=0}^n\binom nxp^x(1-p)^{n-x}=1$

The mean is given by the expected value of the distribution,

$\mathbb E(X)=\displaystyle\sum_xf_X(x)=\sum_{x=0}^nx\binom nxp^x(1-p)^{n-x}$
$\mathbb E(X)=\displaystyle\sum_{x=1}^nx\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}$
$\mathbb E(X)=\displaystyle\sum_{x=1}^n\frac{n!}{(x-1)!(n-x)!}p^x(1-p)^{n-x}$
$\mathbb E(X)=\displaystyle np\sum_{x=1}^n\frac{(n-1)!}{(x-1)!((n-1)-(x-1))!}p^{x-1}(1-p)^{(n-1)-(x-1)}$
$\mathbb E(X)=\displaystyle np\sum_{x=0}^n\frac{(n-1)!}{x!((n-1)-x)!}p^x(1-p)^{(n-1)-x}$
$\mathbb E(X)=\displaystyle np\sum_{x=0}^n\binom{n-1}xp^x(1-p)^{(n-1)-x}$
$\mathbb E(X)=\displaystyle np\sum_{x=0}^{n-1}\binom{n-1}xp^x(1-p)^{(n-1)-x}$

The remaining sum has a summand which is the PMF of yet another binomial distribution with $n-1$ trials and the same success probability, so the sum is 1 and you're left with

$\mathbb E(x)=np=126\times0.27=34.02$

You can similarly derive the variance by computing $\mathbb V(X)=\mathbb E(X^2)-\mathbb E(X)^2$ , but I'll leave that as an exercise for you. You would find that $\mathbb V(X)=np(1-p)$ , so the variance here would be

$\mathbb V(X)=125\times0.27\times0.73=24.8346$

The standard deviation is just the square root of the variance, which is

$\sqrt{\mathbb V(X)}=\sqrt{24.3846}\approx4.9834$

7 0

3 years ago

Can you help me with number 5?

Verizon [17]

We can divide that up into two rectangles, say the bottom one 8 feet wide and 2 feet high. That leaves 5.5 by 6-2=4 feet for the other.

Cost = price × area = 2.25(8×2 + 5.5×4) = $85.50

Answer: $85.50

5 0

2 years ago

What mixed number is equal to 6/4

Norma-Jean [14]

1 and a half

............

4 0

3 years ago

Read 2 more answers

Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of people, the linear correlation coefficient

Brilliant_brown [7]

Answer:

108.88

Step-by-step explanation:

Given that:

Equation of Regression line obtained for couple's IQ:

y=9.88+0.9x

x represents the IQ score of the husband

The best predicted IQ of wife Given that husband's IQ is 110

y = 9.88 + 0.9(110)

y = 9.88 + 99

y = 108.88

6 0

2 years ago