Answer:
right trapezoid
Step-by-step explanation:
It is a quadrilateral, but it's a special type called a right trapezoid (or trapezium, depending what country you are from).
The definition of a right trapezoid is a quadrilateral (4 sided shaped) with 2 parallel sides and 2 adjacent right angles.
Answer:
$142.425
Step-by-step explanation:
Given:
A sports store is having a sale on skates, a pair originally cost is $135.
The sales tax is 5.5%
Question asked:
What is the total cost ?
Solution:
To find the total cost of a pair of skates, first of all we will find sale tax amount and then simply add the original cost and sale tax amount.
Original cost of a pair of skates = $135
Sales tax = 5.5%
Sales tax amount = ![5.5\% \ of\ 135](https://tex.z-dn.net/?f=5.5%5C%25%20%5C%20of%5C%20135)
![=\frac{5.5}{100} \times135\\\\ =\frac{742.5}{100} \\ =\$7.425](https://tex.z-dn.net/?f=%3D%5Cfrac%7B5.5%7D%7B100%7D%20%5Ctimes135%5C%5C%5C%5C%20%3D%5Cfrac%7B742.5%7D%7B100%7D%20%5C%5C%20%3D%5C%247.425)
Total cost = Original cost + sale tax amount
= $135 + $7.425
= $142.425
Therefore, the total cost of a pair of skates at a sports store is $142.425
Answer:
The probability that 10 adults selected at random from the town all have health insurance is 0.01153.
Step-by-step explanation:
Consider the provided information.
One town, 64% of adults have health insurance.
Let p = 64% = 0.64
Therefore, q=1-0.64=0.36
We need to find the probability that 10 adults selected at random from the town all have health insurance
Use the formula: ![P(x)=^nC_r(p)^r(q)^{n-r}](https://tex.z-dn.net/?f=P%28x%29%3D%5EnC_r%28p%29%5Er%28q%29%5E%7Bn-r%7D)
Here, the value of r is 10.
Substitute the respective values in the above formula.
![P(x)=^{10}C_{10}(0.64)^{10}(0.36)^{10-10}](https://tex.z-dn.net/?f=P%28x%29%3D%5E%7B10%7DC_%7B10%7D%280.64%29%5E%7B10%7D%280.36%29%5E%7B10-10%7D)
![P(x)=(0.64)^{10}(0.36)^{0}\\P(x)=(0.64)^{10}\\P(x)\approx0.01153](https://tex.z-dn.net/?f=P%28x%29%3D%280.64%29%5E%7B10%7D%280.36%29%5E%7B0%7D%5C%5CP%28x%29%3D%280.64%29%5E%7B10%7D%5C%5CP%28x%29%5Capprox0.01153)
Hence, the probability that 10 adults selected at random from the town all have health insurance is 0.01153.
-/7? imagine that there is an -1 as the numerator. so now -/7 turns into -1/7
Answer:
Step-by-step explanation:
Combine real terms and combine complex terms
1) 3 + 2i + 2 - 5i = 3 +2 + 2i - 5i
= 5 + (2-5)i
= 5 + (-3)i
= 5 - 3i
3) 2 - (1 - 2i) + (4 -5i ) - (1 - 3i) = 2 -1 + 2i + 4 - 5i - 1 + 3i
{- is distributed to (1 - 2i) & - is distributed to (1- 3i)}
= 2 - 1 + 4 + 1 + 2i - 5i + 3i
= 6 +0i = 6
5) 4 - 3i + 4 + 3i = 4 +4 -3i + 3i
= 8
7) (3 - 2i)² + (3 +2i) = 3² - 2*3*2i + (2i)² + 3 + 2i {(a - b)² = a² - 2ab +b²}
= 9 -12i + 4i² + 3 + 2i
= 9 - 12i + 4*(-1) + 3 + 2i {i² = -1}
= 9 +3 - 4 - 12i +2i
= 8 - 10i
![9) (a +b)^{4} - (a - b)^{4} = 8ab(a^{2} +b^{2})\\\\\\Here, \ a = 1 \ and \ b = i\\\\\\(1+\sqrt{-1})^{4}-(1-\sqrt{-1})^{4}=(1+\sqrt{i^{2}})^{4}-(1-\sqrt{i^{2}})^{4}\\\\=(1+i)^{4}-(1-i)^{4}\\\\=8*1*i(1^{2}+i^{2})\\\\=8i*(1 -1)\\\\=8i*0\\\\=0](https://tex.z-dn.net/?f=9%29%20%28a%20%2Bb%29%5E%7B4%7D%20-%20%28a%20-%20b%29%5E%7B4%7D%20%3D%208ab%28a%5E%7B2%7D%20%2Bb%5E%7B2%7D%29%5C%5C%5C%5C%5C%5CHere%2C%20%5C%20a%20%3D%201%20%5C%20and%20%5C%20b%20%3D%20i%5C%5C%5C%5C%5C%5C%281%2B%5Csqrt%7B-1%7D%29%5E%7B4%7D-%281-%5Csqrt%7B-1%7D%29%5E%7B4%7D%3D%281%2B%5Csqrt%7Bi%5E%7B2%7D%7D%29%5E%7B4%7D-%281-%5Csqrt%7Bi%5E%7B2%7D%7D%29%5E%7B4%7D%5C%5C%5C%5C%3D%281%2Bi%29%5E%7B4%7D-%281-i%29%5E%7B4%7D%5C%5C%5C%5C%3D8%2A1%2Ai%281%5E%7B2%7D%2Bi%5E%7B2%7D%29%5C%5C%5C%5C%3D8i%2A%281%20-1%29%5C%5C%5C%5C%3D8i%2A0%5C%5C%5C%5C%3D0)