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3 years ago

I need help please! It would be very helpful ;) if ya helped me 0-0

Mathematics

1 answer:

Anna [14]3 years ago

8 0

Answer:

im thinking B. or C.

Step-by-step explanation:

again not sure

again sorry if wrong

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Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.

sergij07 [2.7K]

(a) If f(x) is to be a proper density function, then its integral over the given support must evaulate to 1:

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1$

For the integral, substitute u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:

$\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1$

which reduces to

c / 2 (0 + 1) = 1 → c = 2

(b) Find the probability P(1 < X < 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

$\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678$

5 0

3 years ago

In the triangles, Line segment A C is-congruent-to line segment F E and Line segment B C is-congruent-to line segment D E. Trian

choli [55]

Answer:

Line segment A B is longer than Line segment F D. This is the correct statement from the given statements.

Step-by-step explanation:

Given:

In ΔABC and ΔFDE

Segment AC≅Segment FE

Segment BC≅Segment DE

∠BCA = 72° and ∠DEF = 65°

Now by the property of a Triangle we know that

Side opposite to the greater angle is longer than the side opposite to the smaller angle.

So, Side opposite to the greater angle (∠BCA = 72°) is AB and

The side opposite to the smaller angle (∠DEF = 65°) is FD.

Therefore, side AB is Longer than side FD.

4 0

3 years ago

Connor spent $66 on rookie cards and Hall of Fame cards how many of each type of car did he buy rookie cards are four for six Ha

barxatty [35]

Answer:

We conclude that he purchased 20 rookie cards and 8 Hall of Fame cards.

Step-by-step explanation:

We know that Connor spent $66 on rookie cards and Hall of Fame cards. We know that rookie cards are four for six Hall of Fame two for nine.

Therefore, we calculate:

$5\cdot 6 +4\cdot 9=30+36=66$

5·4= 20 rookie cards

4·2= 8 Hall of Fame cards

We conclude that he purchased 20 rookie cards and 8 Hall of Fame cards.

5 0

3 years ago

Which of the following is equivalent to

enot [183]

Answer:

Option (2) is correct.

$18-\sqrt{-25}=18-5i$

Step-by-step explanation:

Given expression $18-\sqrt{-25}$

We have to find an equivalence value to the expression.

Radical rule,

$\sqrt{-a}=\sqrt{-1} \sqrt{a}$

Also, $i=\sqrt{-1}$

Consider the given expression,

$18-\sqrt{-25}$

Applying radical rule to $\sqrt{-25}$

$\sqrt{-25}=\sqrt{-1}\sqrt{25}=5i$

Thus, the expression becomes,

$18-\sqrt{-25}=18-5i$

Thus, option (2) is correct.

6 0

3 years ago

Read 2 more answers

Rafael sold t-shirts and hats at a festival. He made a $3 profit for each t-shirt he sold. He also made a profit $45 from sellin

drek231 [11]

Answer:

Step-by-step explanation:

The total profit is $93

He made a $45 profit selling hats

The question says he only sold t-shirts and hats

Since we are solving for the amount of t-shirts sold we subtract $45 from $93 and get $48 dollars earned from t-shirts

He makes $3 per t-shirt

We divide the amount per t-shirt by the total t-shirt money earned

This looks like: 48/3

We get 16 as our answer

7 0

3 years ago

Read 2 more answers