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Tamiku [17]
3 years ago
9

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with five independent​ switc

hes, each one on or off. The receiver​ (wired to the​ door) must be set with the same pattern as the transmitter. If one of​ Kevin's neighbors also has this same brand of​ opener, and both of them set the switches​ randomly, what is the probability that they will use the same​ setting?
Mathematics
1 answer:
aleksandrvk [35]3 years ago
4 0

Answer:

0.03125

Step-by-step explanation:

Number of Combinations possible with the Transmitters = 2*2*2*2*2 = 32

Probability that they will use the same settings = 1 - Probability of them using different settings.

= 1 - 32*31/(32^2)

=1 - 992/1024

= 1 - 0.96875

= 0.03125

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Find the sum of all numbers from 150 to 200 which are divisible by7​
podryga [215]

Step-by-step explanation:

The sum is 1225

Solution : 

The numbers from 150 to 200 divisible by 7 are 154,161 ,168,…., 196

Here, a=154,d=7a=154,d=7 and tn=196tn=196

tn=a+(n−1)dtn=a+(n-1)d …(Formula )

∴196=154+(n−1)×7∴196=154+(n-1)×7 …(Substituting the values )

∴196−154=(n−1)×7∴196-154=(n-1)×7

∴427=n−1∴427=n-1 ∴n−1=6∴n-1=6 ∴n=7∴n=7

Now, we find the sum of 7 numbers.

Sn=n2[t1+tn]Sn=n2[t1+tn] ...(Formula )

=72[154+196)=72[154+196)

=72×350=72×350

=7×175=7×175

=1225

8 0
3 years ago
The line of symmetry for the quadratic equation y = ax^2 + 8x - 3 is x = 4. What is the value of "a"?
alexdok [17]

Answer:

a = - 1

Step-by-step explanation:

given a quadratic in standard form : y = ax² + bx + c : a ≠ 0

Then the x-coordinate of the vertex is

• x_{vertex} = - \frac{b}{2a}

The line of symmetry passes through the parabola, hence x-coordinate is 4

y = ax² + 8x - 3 is in standard form

with a = a, b = 8 and c = - 3, hence

- \frac{8}{2a} = 4 ( multiply both sides by 2a

- 8 = 8a ( divide both sides by 8 )

a = - 1



















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2 years ago
True or False:<br> Zero is a neutral integer. It can be either positive or negative.
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