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a_sh-v [17]
3 years ago
11

If P->q is true and q->r is true them the conclusión of p->r is also true this is called?​

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

This is called transitivity property

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Six times the sum of a number and negative four is twelve. Find the number. Round your answer to the nearest integer, if necessa
GuDViN [60]
If we call the number x, we can write an equation to solve:

6(x - 4) = 12
6 × x = 6x
6 × -4 = -24

So you get 6x - 24 = 12

6x - 24 = 12
+ 24
6x = 12
÷ 6
x = 2

And your final answer is 2, I hope this helps!
3 0
3 years ago
3m4 +21 - am4 - 7a =
Yuliya22 [10]
Plug into a calculator
8 0
3 years ago
Matthew accepted a new job at a company with a contract guaranteeing annual
guajiro [1.7K]

Answer:

S= 4000n+50000

Step-by-step explanation:                       Table

50000+4000=54000                         0           5000

54000+4000=58000                         1            54000

58000+4000=62000 etc..                2            58000

                                                            3           62000

Is increasing by 4000  and thats the rate of change so S=4000n

And the y intercept always will be with a 0 in the cordinates and the only with a 0 is 50000.

We put all together and it will be

Answer: S=4000n+50000

5 0
3 years ago
The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26
hjlf

Answer:

Probability that next week's show will have between 30 and 37 million viewers is 0.2248.

Step-by-step explanation:

We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.

<em>Let X = number of viewers for the American Idol television show</em>

So, X ~ N(\mu=26,\sigma^{2}=8^{2})

Now, the z score probability distribution is given by;

          Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 26 million

            \sigma = standard deviation = 8 million

So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X \leq 30)

    P(X < 37) = P( \frac{X-\mu}{\sigma} < \frac{37-26}{8} ) = P(Z < 1.38) = 0.91621

    P(X \leq 30) = P( \frac{X-\mu}{\sigma} \leq \frac{30-26}{8} ) = P(Z \leq 0.50) = 0.69146

<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>

Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.

4 0
3 years ago
A 55m and 35m broad park is surrounded by a 2.5m wide path.
daser333 [38]

Step-by-step explanation:

☄ \underline {\underline{ \text{Given}}} :

  • Length of a park ( l ) = 55 m
  • Breadth of a park ( b ) = 35 m
  • Width running outside the park ( d ) = 2.5 m
  • Rate of paving the path with stones = Rs 120 per sq.metre

☄ \underline{ \underline{ \text{To \: find}}}:

  • Area of the park
  • Cosy of paving the path with stones at Rs 130 per sq.metre

☄ \underline{ \underline{ \text{Solution}}} :

Part 1 : \boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}

plug the known values and simplify :

⟹ \sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}

⟹ \sf{5  \times 95}

⟹ \sf{475 \:  {m}^{2} }

Part 2 : \boxed{ \sf{Total \: cost = Area \: of \: paths \:  \times  Rate}}

⟹ \sf{475  \times 120}

⟹\sf{Rs \: 57000}

\purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \:  {m}^{2}   \:  and \: (ii ) = Rs \: 57000}}}}}

Hope I helped ! ♡

Have a wonderful day /night ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

7 0
3 years ago
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