Answer:
32.55
Step-by-step explanation:
Answer:
x = 2
x = -4
x = -3/2
Step-by-step explanation:
We need to find the roots of the equation
2x^3 + 7x^2 – 10x – 24 = 0
We can factorize the equation into
(x-2)(x+4)(2x + 3) = 0
Roots
x = 2
x = -4
x = -3/2
The answer to your question is also attached in the images below
Answer:
![m=\frac{9}{10}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B9%7D%7B10%7D)
Step-by-step explanation:
To find the slope between any two points, we can use the following slope formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Let (-7, -1) be (x₁, y₁) and let (3, 8) be (x₂, y₂). Substitute them into the slope formula:
![m=\frac{8-(-1)}{3-(-7)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B8-%28-1%29%7D%7B3-%28-7%29%7D)
Evaluate:
![m=\frac{9}{10}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B9%7D%7B10%7D)
Therefore, the slope between the two points is 9/10.
Answer:
The complement event would be: "No rain today"
Its probability would be 70%
Step-by-step explanation:
Given the event:
A= rain today
The probability of rain today is 30%
P(A)=30%=0.3
The complement event has all the values that are not included in the event.
The complement event would be:
A'= No rain today
The probability of a event is the subtraction between 1 and the complement event:
P(A')=1-P(A)
Then, the probability of the event "No rain today" will be:
P(A')=1-0.3=0.7=70%
Hello,
Step-by-step explanation:
90 = 9 x 10 = (7 + 2) x 10 = 70 + 20
70 men and 20 women
![\frac{70}{5} = \frac{20 + X}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B70%7D%7B5%7D%20%20%3D%20%5Cfrac%7B20%20%2B%20X%7D%7B4%7D)
56 = 20 + X ⇔ X = 36
Answer : + 36 women