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3 years ago

What’s the value of x?

Mathematics

2 answers:

kodGreya [7K]3 years ago

6 0

Answer:

x = 29.1m

Step-by-step explanation:

X= 71 x =

Y = y = 28.2 m

Z = z = 20.9 m

$x^{2} = y^{2} + z^{2} - 2yz cos x\\(28.2 )^{2} + (20.9)^{2} - 2(28.2 )(20.9) cos (71)\\795.24 + 436.81 - 1178.76cos(71)\\1232.05 - 1178.76 cos (71)\\{1232.05-383.767}\\\\\sqrt{x^{2} } = \sqrt{1232.05 - 383.767}\\ x = 29.1$

faust18 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

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According to data from the state blood program, 40 percent of all individuals have group A blood. If six individuals give blood,

Serjik [45]

Answer: 0.27648

Step-by-step explanation:

Given : The proportion of all individuals have group A blood : p=0.040

Total individuals give blood : n= 6

Let X be the number of individuals have group A blood.

Since all individual are independent of each other.

$X\sim Bin(n=6, p=0.40)$

Formula : $P(X=x)=^nC_xp^x(1-p)^{n-x}$ , where n= sample size , p = probability of getting success in each trial.

The probability that exactly three of the individuals have group A blood. :

$P(x=3)= ^6C_3(0.40)^3(1-0.4)^3\\\\= \dfrac{6!}{3!3!}\times(0.40)^3(0.60)^3\\\\=0.27648$

The probability that exactly three of the individuals have group A blood. is 0.27648

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3 years ago

Johnathan plans on using 2" x 12" boards that cost $2.50 per foot. Assuming he can purchase the exact amount he needs, how much

Kitty [74]

Answer:

$35

Step-by-step explanation:

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3 years ago

Solve the system by the method of your choice x=3y-6,2x-6y=-12

igor_vitrenko [27]

The "system" of equations can't be solved for (x, y), because there's no "system" of equations given. There's really only one equation.

Either of these two equations can be massaged to look exactly like the other one. And if you graph both equations, you find that they're both the same line on the graph.

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4 years ago

Explain how you use a quick picture to find the quotient and remainder

Varvara68 [4.7K]

Example question: There are 38 students in a baseball club. The coach needs to split them up into equal groups of 4. How many groups can be made? How many kids are left over?
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4 years ago

Read 2 more answers

(2x² - 5x-3)/ (x-3) DIvide the polynomials

Anika [276]

Answer:

2x + 1

Step-by-step explanation:

$\frac{(2x² - 5x-3)}{(x - 3)}$

Factor out 2x² - 5x-3

$\frac{(2x + 1)(x - 3)}{x - 3}$

divide x - 3 by x - 3

=> 2x + 1

Or another step

Step by Step Solution

STEP

Equation at the end of step 1

STEP

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0

2 years ago