Answer:
The answer is "0.0547".
Step-by-step explanation:
![P(Correct) = 0.50\\\\n = 10\\\\x = 8](https://tex.z-dn.net/?f=P%28Correct%29%20%3D%200.50%5C%5C%5C%5Cn%20%3D%2010%5C%5C%5C%5Cx%20%3D%208)
Using the binomial distribution:
![\to P(x,n) = n_{C}_x \times p^x \times (1-p)^{(n-1)}\\\\\to P(x \geq 8) = 1 - P( \leq 7)](https://tex.z-dn.net/?f=%5Cto%20P%28x%2Cn%29%20%3D%20n_%7BC%7D_x%20%5Ctimes%20p%5Ex%20%5Ctimes%20%281-p%29%5E%7B%28n-1%29%7D%5C%5C%5C%5C%5Cto%20P%28x%20%5Cgeq%208%29%20%3D%201%20-%20P%28%20%5Cleq%207%29)
Calculating the excel formula:
![=BINOM.DIST(7,10,0.50,TRUE)](https://tex.z-dn.net/?f=%3DBINOM.DIST%287%2C10%2C0.50%2CTRUE%29)
![\to P(x \geq 8) = 1 - 0.9453\\\\ \to P(x \geq 8) = 0.0547](https://tex.z-dn.net/?f=%5Cto%20P%28x%20%5Cgeq%208%29%20%3D%201%20-%200.9453%5C%5C%5C%5C%20%5Cto%20P%28x%20%5Cgeq%208%29%20%3D%200.0547)
Answer:
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Conversion a mixed number 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds
Subtract: 5/
3
- 7/
3
= 5 - 7/
3
= -2/
3
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 3) = 3. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 3 = 9. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - five thirds minus seven thirds = minus two thirds.
9514 1404 393
Answer:
x^3 -x^2 -17x +12
Step-by-step explanation:
Use the distributive property and collect terms.
(x +4)(x^2 -5x +3) = x(x^2 -5x +3) +4(x^2 -5x +3)
= x^3 -5x^2 +3x +4x^2 -20x +12
= x^3 -x^2 -17x +12
Answer:
(x +3)^2 +(y -4)^2 = 52
Step-by-step explanation:
The standard form equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
We are given the value of (h, k), and we can find the value of r^2. Using the values of h and k, our equation is ...
(x +3)^2 +(y -4)^2 = r^2
Since we know this equation is satisfied by the point (1, -2), we can use this point in the equation to find r^2:
(1 +3)^2 +(-2 -4)^2 = r^2
16 +36 = r^2 = 52
The equation of the circle is ...
(x +3)^2 +(y -4)^2 = 52
Answer:
If Cora runs 1/2 mile per week and x is the number of weeks, then she will run 5+1/2x. Then determine how many weeks are in two and a half months (depends on which month it is as there are less weeks in February than in January!) but we could estimate 6.
For Hana, you will have 3+ 3/4 x
Step-by-step explanation:
First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.