Answer:
Graph of quadratic opening downward and linear sloping up to the left. They intersect at point negative 3, negative 1 and point 1, negative 5
Step-by-step explanation:
we have
we can separate the expression above into two equations
----> equation A
This is a quadratic equation ( vertical parabola) open downward (the leading coefficient is negative)
----> equation B
This is a linear equation with negative slope (decreasing function).so linear sloping up to the left
The solution of the original expression are the x-coordinates of the intersection point both graphs
using a graphing tool
The intersection points are (-3,-1) and (1,-5)
see the attached figure
The two circles are equally inscribe inside a rectangle which means that its length is equals to the diameter of a circle and the width is two tines the diameter of a circle.
A. The area of the rectangle using the R. is Area = 2R*4R
B. The perimeter is express as Perimeter = 2(2R*4R)
Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.
Conditional Probability
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem:
- Event A: Fail the test.
- Event B: Unfit.
The probability of <u>failing the test</u> is composed by:
- 46% of 37%(are fit).
- 100% of 63%(not fit).
Hence:
The probability of both failing the test and being unfit is:
Hence, the conditional probability is:
0.7873 = 78.73% probability that Mona was justifiably dropped.
A similar problem is given at brainly.com/question/14398287
Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5(x + 4) = -2(-4 - x) + 3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x + 20 = 8 + 2x + 3
- Combine like terms: 5x + 20 = 2x + 11
- Subtract 2x on both sides: 3x + 20 = 11
- Subtract 20 on both sides: 3x = -9
- Divide 3 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
- Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
- Add: 5(1) = -2(-1) + 3
- Multiply: 5 = 2 + 3
- Add: 5 = 5
Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
Answer:
She is incorrect
Step-by-step explanation:
If she is doing her math based on her results, she is incorrect. To find out the correct answer, first divide 1000/40 which is 25. Next, multiply 22 and 25. After you do the math, you find that the answer is 550. So based on her results, if she did 1000 trials she would land on heads 550 out of 1000 times.
