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vivado [14]
2 years ago
7

Find the value of 9x + 4y when x = 4 and y=-5

Mathematics
2 answers:
Dmitry_Shevchenko [17]2 years ago
6 0

Answer:

16

Step-by-step explanation:

9x + 4y

Let x =4 and y = -5

9(4)+ 4(-5)

36 -20

16

omeli [17]2 years ago
4 0

Answer:

16

Step-by-step explanation:

substitute the values into the equation

9(4)+4(-5)

solve...

36-20=16

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EXPLANATION?????
crimeas [40]

Answer:

Hello! answer: x = 19

Step-by-step explanation:

This is a supplementary angle! So it will add up to 180 degrees 180 - 123 = 57 so we know something multiplied by 3 will equal 57 and 19 × 3 = 57 so x = 19 Hope this is a good explanation!

4 0
3 years ago
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To approximate the number of bees in a hive, multiply the number of bees that leave the hive in one minute by 3 and divide by 0.
AlekseyPX

Answer:

There are about 5,357 bees in the hive

Step-by-step explanation:

Let

x ----->  the number of bees that leave the hive in one minute

y -----> the approximate number of bees in a hive

we know that

The formula to calculate the approximate number of bees in a hive is equal to

y=\frac{3x}{0.014}

For x=25

substitute

y=\frac{3(25)}{0.014}

y=5,357\ bees

therefore

There are about 5,357 bees in the hive

6 0
4 years ago
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Which of the following is a polynomial with roots 3, 5i, and −5i?
jek_recluse [69]
x_{1}=3 \\  \\ x_{2}=5i \\  \\ x_{2}=-5i \\  \\ f(x)=(x-x_{1})(x-x_{2})(x-x_{3})=(x-3)(x-5i)(x+5i)= \\  \\ =(x-3)(x^{2}+25)=x^{3}+25x-3x^{2}-75=x^{3}-3x^{2}+25x-75

==================================
<em />
<em>"Associate with people who are likely to improve you."</em>
6 0
3 years ago
A store selling newspapers orders only n = 4 of a certain newspaper because the manager does not get many calls for that publica
umka2103 [35]

Answer:

a) The expected value is 2.680642

b) The minimun number of newspapers the manager should order is 6.

Step-by-step explanation:

a) Lets call X the demanded amount of newspapers demanded, and Y the amount of newspapers sold. Note that 4 newspapers are sold when at least four newspaper are demanded, but it can be <em>more</em> than that.

X is a random variable of Poisson distribution with mean \mu = 3 , and Y is a random variable with range {0, 1, 2, 3, 4}, with the following values

  • PY(k) = PX(k) = ε^(-3)*(3^k)/k! for k in {0,1,2,3}
  • PY(4) = 1 -PX(0) - PX(1) - PX(2) - PX (3)

we obtain:

PY(0) = ε^(-3) = 0.04978..

PY(1) = ε^(-3)*3^1/1! = 3*ε^(-3) = 0.14936

PY(2) = ε^(-3)*3^2/2! = 4.5*ε^(-3) = 0.22404

PY(3) = ε^(-3)*3^3/3! = 4.5*ε^(-3) = 0.22404

PY(4) = 1- (ε^(-3)*(1+3+4.5+4.5)) = 0.352768

E(Y) = 0*PY(0)+1*PY(1)+2*PY(2)+3*PY(3)+4*PY(4) =  0.14936 + 2*0.22404 + 3*0.22404+4*0.352768 = 2.680642

The store is <em>expected</em> to sell 2.680642 newspapers

b) The minimun number can be obtained by applying the cummulative distribution function of X until it reaches a value higher than 0.95. If we order that many newspapers, the probability to have a number of requests not higher than that value is more 0.95, therefore the probability to have more than that amount will be less than 0.05

we know that FX(3) = PX(0)+PX(1)+PX(2)+PX(3) = 0.04978+0.14936+0.22404+0.22404 = 0.647231

FX(4) = FX(3) + PX(4) = 0.647231+ε^(-3)*3^4/4! = 0.815262

FX(5) = 0.815262+ε^(-3)*3^5/5! = 0.91608

FX(6) = 0.91608+ε^(-3)*3^6/6! = 0.966489

So, if we ask for 6 newspapers, the probability of receiving at least 6 calls is 0.966489, and the probability to receive more calls than available newspapers will be less than 0.05.

I hope this helped you!

8 0
3 years ago
This figure is 14 of a circle.
Wittaler [7]

Answer:

The perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.

Step-by-step explanation:

Given : A quarter of a circle with radius labeled 2 in.

Quarter of circle means fourth part of a circle  (as shown in image by shaded part).

We have to find the perimeter of this shaded quarter of circle.

Perimeter is the sum of the dimension of the given figure.

Perimeter of circle is 2\pi r

Since, we are given Quarter circle so its perimeter \frac{2}{4} \pi r+r+r=\frac{1}{2} \pi r+r+r

Perimeter of given figure = \frac{1}{2} \pi r+r+r

Perimeter of given figure = \frac{1}{2}\cdot 3.14 \cdot 2+2+2=3.14+4=7.14

Thus, the perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.

6 0
3 years ago
Read 2 more answers
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