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2 years ago

A rectangular plot of ground is 10 meters longer than it is wide. its area is 10,000 square meters

Mathematics

1 answer:

yarga [219]2 years ago

6 0

Keep in mind x >0 since x is a measurement of length.

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Which of the following are solutions to the quadratic equation? Check all that

Firlakuza [10]

Answer:

$\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }$

Step-by-step explanation:

hello,

$2x^2+7x-14=x^2+4\\ 2x^2+7x-14-x^2-4=0\\ x^2+7x-18=0\\x^2-2x+9x-18=0\\ x(x-2)+9(x-2)=0\\ (x+9)(x-2)=0\\ x+9 = 0 \ \text{or} \ x-2=0\\ x = -9 \ \text{or} \ x=2$

hope this helps

6 0

2 years ago

Suppose we roll a fair die and let X represent the number on the die. (a) Find the moment generating function of X. (b) Use the

Likurg_2 [28]

Answer:

(a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{2 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die, $P(X)=\frac{1}{6}$

(a) Moment generating function can be written as $M_{x}(t)$ .

$M_x(t)=\sum_{x=1}^{6} P(X=x)$

$M_{x}(t)=\frac{1}{6} e^{t}+\frac{1}{6} e^{2 t}+\frac{1}{6} e^{3 t}+\frac{1}{6} e^{4 t}+\frac{1}{6} e^{5 t}+\frac{1}{6} e^{6 t}$

$M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) Now, find $E(X) \text { and } E\((X^{2})$ using moment generating function

$M^{\prime}(t)=\frac{1}{6}\left(e^{t}+2 e^{2 t}+3 e^{3 t}+4 e^{4 t}+5 e^{5 t}+6 e^{6 t}\right)$

$M^{\prime}(0)=E(X)=\frac{1}{6}(1+2+3+4+5+6)$

$\Rightarrow E(X)=\frac{21}{6}$

$M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)$

$M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)$

$\Rightarrow E\left(X^{2}\right)=\frac{91}{6}$

Hence, (a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$ .

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

6 0

3 years ago

HURRY IM TIMED PLEASE I WILL GIVE BRAINLIST

Travka [436]

9c + 5ab/ 11c is the simplified answer

6 0

1 year ago

Read 2 more answers

A garden is 14 1/2 ft by 13 1/4 ft. what is the area of the garden.

lyudmila [28]

If the garden is rectangular your answer would be 191.125 ft or 191 1/8 ft.
If I helped, help me out by making this answer the brainliest.

3 0

3 years ago

Which of the following is the solution to 4/5 = 20/(x-5)?

Alexxandr [17]

Answer:

x=30

Step-by-step explanation:

$\frac{4}{5}=\frac{20}{x-5} \\\\4(x-5)=20*5\\\\4x-20=20(5)\\\\4x=20(5)+20(1)\\\\4x=20(5+1)\\\\4x=20(6)\\\\x=\frac{20(6)}{4} \\\\x=5*6\\\\x=30$

8 0

2 years ago

Read 2 more answers