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Licemer1 [7]
3 years ago
15

A town council has 13 ​members, 7 Democrats and 6 Republicans.

Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Answer:

Membership selection a town council has members Democrats and Republicans if the president and vice president are selected at random what is the probability that they are both Democrats

There is a 26.9% chance, if the president and vice-president are selected at random, that they are both Democrats. There is a 12.2% chance, if a 3-person committee is selected at random, that Republicans make up the majority.

Step-by-step explanation:

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Log14/3 +log11/5-log22/15=log
Tamiku [17]

Answer:

log7

Step-by-step explanation:

when adding logs, apply the log rule: \log _a\left(x\right)+\log _a\left(y\right)=\log _a\left(xy\right)

∴  \log\left(\frac{14}{3}\right)+\log\left(\frac{11}{5}\right)=\log\left(\frac{14}{3}\cdot \frac{11}{5}\right)

when subtracting logs, apply the log rule: \log _a\left(x\right)\:-\:\log _a\left(y\right)=\log _a\left(\frac{x}{y}\right)

\log\left(\frac{14}{3}\cdot \frac{11}{5}\right)-\log\left(\frac{22}{15}\right)=\log\left(\frac{\frac{14}{3}\cdot \frac{11}{5}}{\frac{22}{15}}\right)\\\\=\log\left(7\right)

5 0
2 years ago
Read 2 more answers
Find the length of a diagonal of a rectangle if the length of the rectangle is 24 cm and its width is 10 cm. A) 22 cm B) 26 cm C
Alik [6]
Your answers are
1.B
2.D
3.A
3 0
3 years ago
Read 2 more answers
Forty is no greater than the difference of a number and 2
GuDViN [60]
This can be written as:
40  \leq  n - 2

"No greater than" does not necessarily mean less than, but it just means it cannot go over. So equal to or less than.

"The difference of a number and 2" can be represented as "n - 2"

If you were to solve this inequality, you would end up getting:
42  \leq  n or n  \geq  42

Hope this helps! :)
8 0
3 years ago
Read 2 more answers
Please prove this........​
Crazy boy [7]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: A + B + C = π    →     C = π - (A + B)

                                    → sin C = sin(π - (A + B))       cos C = sin(π - (A + B))

                                    → sin C = sin (A + B)              cos C = - cos(A + B)

Use the following Sum to Product Identity:

sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]

cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]

Use the following Double Angle Identity:

sin 2A = 2 sin A · cos A

<u>Proof LHS → RHS</u>

LHS:                        (sin 2A + sin 2B) + sin 2C

\text{Sum to Product:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-\sin 2C

\text{Double Angle:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-2\sin C\cdot \cos C

\text{Simplify:}\qquad \qquad 2\sin (A + B)\cdot \cos (A - B)-2\sin C\cdot \cos C

\text{Given:}\qquad \qquad \quad 2\sin C\cdot \cos (A - B)+2\sin C\cdot \cos (A+B)

\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]

\text{Sum to Product:}\qquad 2\sin C\cdot 2\cos A\cdot \cos B

\text{Simplify:}\qquad \qquad 4\cos A\cdot \cos B \cdot \sin C

LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C    \checkmark

7 0
3 years ago
identify the coordinates of four points on the line with each given slope and y-intercept. slope=-1 and that y-intercept=8
VladimirAG [237]

Answer:

[-1, 9], [-2, 10], [-3, 11], [1, 7]

Step-by-step explanation:

Starting from the y-intercept of [0, 8], I did <em>rise</em><em>\</em><em>run</em><em> </em>by moving one block <em>north</em><em> </em>over <em>one</em> block <em>west</em><em> </em>for the first three coordinates, but retracing back to the y-intercept, I moved one block <em>south</em><em> </em>over <em>one</em> block <em>east</em> for the last coordinate. It does not matter where you go, as long as you follow the pattern within this <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>].

I am joyous to assist you anytime.

5 0
3 years ago
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