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Solnce55 [7]
3 years ago
8

Explain how you would round the number 33 and 89 to estimate their sum

Mathematics
1 answer:
Juliette [100K]3 years ago
3 0
33 rounded to the nearest 10 is 30, 89 rounded to the nearest 10 is 90. So 90+30 is 120. Let me know if I am right!
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What is 4(2×-7)+3(3×-1)=3(2-×)​
Mama L [17]

Answer:

x=37/20

Step-by-step explanation:

4(2x-7)+3(3x-1)=3(2-x)

8x-28+9x-3=6-3x

17x+3x=6+31

20x=37

8 0
3 years ago
Read 2 more answers
Find the value of x so that (x, 12) satisfies y = 4x +4.
Elena L [17]
Plug in 12 for y and rewrite the equation.

12 = 4x + 4

Subtract 4 from both sides.

8 = 4x

Divide by 4 on both sides.

2 = x

The ordered pair is (2, 12) and x = 2.
3 0
2 years ago
Three numbers in the interval $\left[0,1\right]$ are chosen independently and at random. What is the probability that the chosen
k0ka [10]

Let a,b,c be the randomly selected lengths. Without loss of generality, suppose a[tex]P(A + B \ge C) = P(A + B - C \ge 0)

where A,B,C are independent random variables with the same uniform distribution on [0, 1].

By their mutual independence, we have

P(A=a,B=b,C=c) = P(A=a) \times P(B=b) \times P(C=c)

so that the joint density function is

P(A=a,B=b,C=c) = \begin{cases}1 & \text{if }(a,b,c)\in[0,1]^3 \\ 0 & \text{otherwise}\end{cases}

where [0,1]^3=[0,1]\times[0,1]\times[0,1] is the cube with vertices at (0, 0, 0) and (1, 1, 1).

Consider the plane

a + b - c = 0

with (a,b,c)\in\Bbb R^3. This plane passes through (0, 0, 0), (1, 0, 1), and (0, 1, 1), and thus splits up the cube into one tetrahedral region above the plane and the rest of the cube under it. (see attached plot)

The point (0, 0, 1) (the vertex of the cube above the plane) does not belong the region a+b-c\ge0, since 0+0-1=-1. So the probability we want is the volume of the bottom "half" of the cube. We could integrate the joint density over this set, but integrating over the complement is simpler since it's a tetrahedron.

Then we have

\displaystyle P(A+B-C\ge0) = 1 - P(A+B-C < 0) \\\\ ~~~~~~~~ = 1 - \int_0^1\int_0^{1-a}\int_{a+b}^1 P(A=a,B=b,C=c) \, dc\,db\,da \\\\ ~~~~~~~~ = 1 - \int_0^1 \int_0^{1-a} (1 - a - b) \, db \, da \\\\ ~~~~~~~~ = 1 - \int_0^1 \frac{(1-a)^2}2\,da \\\\ ~~~~~~~~ = 1 - \frac16 = \boxed{\frac56}

5 0
1 year ago
Jin’s pays 3.48 for a bag of 12 tangerines find the unit price in dollars per tangerine if necessary round your answer to the ne
lapo4ka [179]
Are there any multiple answers?
7 0
3 years ago
Solve for x: x + 8 = 15
love history [14]

Answer:

7

Step-by-step explanation:

x + 8 = 15

Subtracting 8 from both sides,

x = 15 - 8

=> x = 7

6 0
3 years ago
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