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marin [14]
2 years ago
13

The value 5pi/4 is a solution for the equation 3root2 sing0 + 2 = -1. Ture or false

Mathematics
1 answer:
Finger [1]2 years ago
8 0

Answer: FALSE

Step-by-step explanation: Ap3x

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Use the functions f(x) = 4x² + 3 and g(x) = 3x + 2 to evaluate the following.
natita [175]

Answer:

Step-by-step explanation:

f(-2)= 4(-2)^2 + 3 = 4(4) + 3 = 16 + 3 = 19

g(19) = 3(19) + 2 = 57 + 2 = 59

g(-2)= 3(-2) + 2 = -6 + 2 = -4

f(-4)= 4(-4)^2 + 3 = 64 + 3 = 67

7 0
3 years ago
Read 2 more answers
The probability distribution for the random variable x follows. x f(x) 20 0.20 25 0.15 30 0.30 35 0.35 (a) Is this probability d
Damm [24]

Answer:

(a) The probability distribution is valid.

(b) The probability that x = 30 is 0.30.

Step-by-step explanation:

The probability distribution of the random variable <em>X</em> is:

<em>    x</em>:  20   |  25  |  30   |   35

f (<em>x</em>): 0.20 | 0.15 | 0.30 | 0.35

(a)

The properties of a probability distribution are:

  1. 0 ≤ P (X) ≤ 1
  2. ∑ P (X) = 1

All the probability value are more than 0 and less than 1.

Compute the sum of all the probabilities as follows:

\sum P(X)=0.20+0.15+0.30+0.35=1

The sum of all probabilities is 1.

Thus, the probability distribution is valid.

(b)

Consider the probability distribution table.

The probability of <em>X</em> = 30 is,

P (X = 30) = 0.30.

Thus, the probability that x = 30 is 0.30.

6 0
3 years ago
What times -1/2 x what = -20?
Radda [10]

Answer:

40

Step-by-step explanation:

Let the number be y

-1/2 × y = -20

y = -20 ÷ -1/2

y = 20 × 2

y = 40

6 0
2 years ago
Rebecca has $128 to spend. She
kobusy [5.1K]

Answer:

12.5x =10x+10

12.50x=x10+10

subtract 10x from both sides

2.5x=10

divide by 2.5

x=4

5 0
2 years ago
Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13
andriy [413]
\bf \begin{cases}&#10;-2x-6y&=-26\\&#10;\quad 5x+2y&=13&#10;\end{cases}\stackrel{\textit{determinant of the coefficients}}{D=&#10;\begin{bmatrix}&#10;-2&-6\\5&2&#10;\end{bmatrix}}\implies (-4)-(-30)&#10;\\\\\\&#10;D=-4+30\implies \boxed{D=26}\\\\&#10;-------------------------------\\\\

\bf x=\cfrac{D_x}{D}\implies x=\cfrac{&#10;\begin{bmatrix}&#10;\boxed{-26}&-6\\\\ \boxed{13}&2&#10;\end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26}&#10;\\\\\\&#10;x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\&#10;-------------------------------\\\\&#10;y=\cfrac{D_y}{D}\implies y=\cfrac{&#10;\begin{bmatrix}&#10;-2&\boxed{-26}\\\\ 5&\boxed{13}&#10;\end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26}&#10;\\\\\\&#10;y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}
4 0
3 years ago
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