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3 years ago

How many 8-person juries can be formed from 17 possible candidates?

Mathematics

1 answer:

Advocard [28]3 years ago

8 0

2 juries with 1 person left

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<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B8%7D%7B11%7D%29%20%7B%7D%5E%7B7%20-%202%20%5Ctimes%203%20-%201%7D%20" id="TexF

Darya [45]

Answer:

Step-by-step explanation:

$(\frac{8}{11})^{7- 2*3 - 1} = (\frac{8}{11})^{7- 6 - 1}\\\\=(\frac{8}{11})^{7- 7}\\\\=(\frac{8}{11})^{0}\\\\=1$

6 0

3 years ago

What are the missing angle measures in triangle ABC?

Finger [1]

we know that

In the right triangle ABC

∠ $A+$ ∠ $B=90$ ------> by complementary angles

Step $1$

Find the measure of angle B

we know that

$tan\ B=\frac{opposite\ side\ angle\ B}{adjacent\ side\ angle\ B}$

in this problem

$opposite\ side\ angle\ B=7in\\ adjacent\ side\ angle\ B=5in$

$tan\ B=\frac{7}{5} \\ \\ B=arc\ tan\frac{7}{5} \\ \\ B=54.5\ degrees$

Step $2$

Find the measure of angle A

$A+B=90\\ A=90-B\\ A=90-54.5\\ A=35.5\ degrees$

therefore

the answer is the option

35.5° and 54.5°

5 0

3 years ago

Read 2 more answers

Find the length of diagonal HJ. Round to the nearest hundredth.

Alisiya [41]

Answer:

The length of the diagonal HJ is 10.82 units

Step-by-step explanation:

* Lets revise the rule of the distance between two points

- $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ , where

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are the two points

* Lets use this rule to find the length of the diagonal HJ

∵ The coordinates of point H are (-4 , 3)

∵ The coordinates of point J are (5 , -3)

∴ $x_{1}=-4$ and $x_{2}=5$

∴ $y_{1}=3$ and $y_{2}=-3$

- Lets find the length of the diagonal HJ by using the rule above

∴ HJ = $\sqrt{(5-(-4))^{2}+(-3-3)^{2}}=\sqrt{(5+4)^{2}+(-6)^{2}}$

∴ HJ = $\sqrt{(9)^{2}+36}=\sqrt{81+36}=\sqrt{117}=10.81665$

∴ HJ = 10.82

* The length of the diagonal HJ is 10.82 units

7 0

3 years ago

let y =2t+5 be a linear function representing the distance from home for an ant t minutes after starting out from a location nea

Akimi4 [234]

Answer: T=1/2 Y + -5/2

Step-by-step explanation:

y=2t+5

2t+5 +-5= y +-5

2t=y-5 2t/2=y-5/2

t=1/2y+-5/2

= t=1/2y + -5/2

7 0

3 years ago

Read 2 more answers

What quadratic function f whose only zero is -6

Mrrafil [7]

Answer:

y=(x+6)^2

Step-by-step explanation:

Bc, the root has to be only -6

there fore x=-6

4 0

3 years ago