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suter [353]
3 years ago
10

What equation represents the relationship between p and q shown in the table

Mathematics
1 answer:
mash [69]3 years ago
6 0

q = 10p because all of them are multiplied by ten

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Solve the system of equations:<br><br><br> 6x - 5y = 15<br><br> x = y + 3
Anettt [7]

Answer:

x = 0, y = -3

Step-by-step explanation:

plug in x as y + 3 into the first equation

6(y+3) - 5y = 15

6y+18 - 5y = 15

y = -3

x= 0

4 0
3 years ago
The​ life, in​ years, of a certain type of electrical switch has an exponential distribution with an average life β=44. If 100 o
Bond [772]

Answer:

0.9999

Step-by-step explanation:

Let X be the random variable that measures the time that a switch will survive.

If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by

\bf P(X

So, the probability that a switch fails in the first year is

\bf P(X

Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.

Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and  

\bf P(Y=k)=\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}

where  

\bf \binom{100}{k} equals combinations of 100 taken k at a time.

The probability that at most 15 fail during the first year is

\bf \sum_{k=0}^{15}\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}=0.9999

3 0
3 years ago
Which explanation uses the number line to show 2 + (-2) = 0?
irakobra [83]

Answer:

2 + (-2) = 0

Step-by-step explanation:

6 0
3 years ago
HELP MATH ASAP!!!!! WILL GIVE BRAINLIEST
Assoli18 [71]

Answer:

The answer is

<h2>2⁴ × 3²</h2>

Step-by-step explanation:

To find the GCF of

{2}^{4}  \times  {3}^{2}  \:  \:  \:  \: and \:  \:  {2}^{5}  \times  {3}^{6}

Find the prime numbers with the lowest exponents and multiply them

From the question the prime numbers with the lowest exponents are

2⁴ and 3²

So the GCF in the question is

2⁴ × 3²

Hope this helps you

4 0
3 years ago
Identify the vertex of the function, F(x) =3(x-1)2 + 5.
agasfer [191]

Answer:

f

(

x

)

=

3

(

x

−

1

)

2

+

5

Use the vertex form,

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

3

h

=

1

k

=

5

Find the vertex

(

h

,

k

)

.

(

1

,

5

)

image of graph

8 0
2 years ago
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