Anybody know the rest on the answers

Factorize xsquare-25

MatroZZZ [7]

Answer:

The answer is (x + 5)(x - 5).

Step-by-step explanation:

Assuming that 25 is a perfect square so you can apply :

$(a + b)(a - b) = {a}^{2} - {b}^{2}$

Test :

$(x+5)(x-5) = {x}^{2} - 5x + 5x - 25$

$(x+5)(x-5) = {x}^{2} - 25$

6 0

3 years ago

Read 2 more answers

If XX is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases:

Liula [17]

Answer:

(a) The mean, variance and standard deviation of X are 1.60, 0.96 and 0.98 respectively.

(b) The mean, variance and standard deviation of X are 3.20, 0.64 and 0.80 respectively.

(c) The mean, variance and standard deviation of X are 1.50, 0.75 and 0.87 respectively.

(d) The mean, variance and standard deviation of X are 4.00, 0.80 and 0.89 respectively.

Step-by-step explanation:

The random variable X follows a Binomial distribution with parameters n and p.

The mean, variance and standard deviation of X are:

$\mu=np\\\sigma^{2}=np(1-p)\\\sigma=\sqrt{np(1-p)}$

(a)

For n = 4 and p = 0.40 compute the mean, variance and standard deviation of X as follows:

$\mu=np=4\times0.40=1.60\\\sigma^{2}=np(1-p)=4\times0.40\times(1-0.40)=0.96\\\sigma=\sqrt{np(1-p)}=\sqrt{0.96}=0.98$

Thus, the mean, variance and standard deviation of X are 1.60, 0.96 and 0.98 respectively.

(b)

For n = 4 and p = 0.80 compute the mean, variance and standard deviation of X as follows:

$\mu=np=4\times0.80=3.20\\\sigma^{2}=np(1-p)=4\times0.80\times(1-0.80)=0.64\\\sigma=\sqrt{np(1-p)}=\sqrt{0.64}=0.80$

Thus, the mean, variance and standard deviation of X are 3.20, 0.64 and 0.80 respectively.

(c)

For n = 3 and p = 0.50 compute the mean, variance and standard deviation of X as follows:

$\mu=np=3\times0.50=1.50\\\sigma^{2}=np(1-p)=3\times0.50\times(1-0.50)=0.75\\\sigma=\sqrt{np(1-p)}=\sqrt{0.75}=0.87$

Thus, the mean, variance and standard deviation of X are 1.50, 0.75 and 0.87 respectively.

(d)

For n = 5 and p = 0.80 compute the mean, variance and standard deviation of X as follows:

$\mu=np=5\times0.80=4.00\\\sigma^{2}=np(1-p)=5\times0.80\times(1-0.80)=0.80\\\sigma=\sqrt{np(1-p)}=\sqrt{0.80}=0.89$

Thus, the mean, variance and standard deviation of X are 4.00, 0.80 and 0.89 respectively.

6 0

3 years ago

Find the slope of the straight line that passes through the following pair of points. (-4,1) and (2,6)

loris [4]

Answer:

5/6

Step-by-step explanation:

(6-1)/(2- -4) --> 5/6

7 0

3 years ago

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Find the value of x and the measure of the angle labeled 2x°

zimovet [89]

Answer:

112=64+2x

112-64=2x

48=2x

x=48/2

x=24

so,2x=2×24=48

C

8 0

3 years ago

Please help me convert this to an equation with an explanation. Linda is shopping for a new cell phone and rate plan. She wants

vovikov84 [41]

39.99+.10t=19.99+.20t Now -19.99 from both sides to get 19.00+.10=.20t Now simplify 19+.10 to 19.10=.20t Lastly divide both sides by .20 to get t=95.5 :)

6 0

3 years ago