The number of traffic accidents that occur on a particular stretch of road during a month follows a poisson distribution with a mean of 7.37.3. find the probability of observing exactly four four accidents on this stretch of road next month. round to six decimal places.

Answer:

Noah's mixture will taste more like orange, than Andre's mixture.  

Step-by-step explanation:

Given:

Noah mixes 4 scoops of powder with 6 cups of water.

Means Noah ratio will be  or 0.67

Andre mixes 5 scoops of powder with 8 cups of water

Means Andre ratio will be  or 0.62

As,

or

0.66 > 0.62

We can say that content of orange powder will be more in Noah mixture than in Andre's Mixture.

Hence, Noah's mixture will taste more like orange, than Andre's mixture.  

Answer:

9. 471.7 square units

10. 827.0 square units

Explanation:

If you're going to have someone else solve your problem for you, it is much quicker and easier to use an appropriate computer or graphing calculator app. (See the attached.)

9. There are at least a couple of ways to approach this. The law of sines can be used to find the length of another side. Given two sides and the angle between them, a formula gives area.

Law of Sines

... a/sin(A) = c/sin(C)

Multiplying by sin(C) gives

... c = sin(C)·a/sin(A) = 19·sin(64°)/sin(20°) ≈ 49.9301

The angle between sides a and c is B, which has the value ...

... B = 180° -A -C = 180° -20° -64° = 96°

Then the area of the triangle is ...

... Area = (1/2)ac·sin(B) = (1/2)(19)(49.9301)(0.994522) ≈ 471.737 ≈ 471.7

10. Heron's formula will give the area of a triangle from its side lengths.

... s = (a+b+c)/2 = (51+38+45)/2 = 67

... Area = √(s(s-a)(s-b)(s-c)) = √(67·16·29·22) = √683936 ≈ 827.004 ≈ 827.0

Answer: 1/5, 5

Step-by-step explanation:

Answer:

I dont know why my answer was removed but here it is again with proof

1st. 1/5

2nd. 5

Step-by-step explanation:

The overall cell potential can be calculated by using the equation E0cell=E0red−E0oxid. Step 2: Solve. Before adding the two reactions together, the number of electrons lost in the oxidation must equal the number of electrons gained in the reduction. The silver half-cell reaction must be multiplied by two

Final answer:

To find a point that is 3/10 of the way from point A to B, we scale the vector from A to B by 0.3. To find the x and y coordinates of this point, we use the formula X = x1 + 0.3 * (x2 - x1) and Y = y1 + 0.3 * (y2 - y1) respectively.

Explanation:

The question asks us to find the coordinates of a point that is 3/10 (or 30%) of the way from point A to B. This involves using the idea of vector addition and scalar multiplication in mathematics.

Let's represent the journey from point A to B as the vector AB. You can consider vector AB to be generated by some coordinates (x1, y1) at point A and some (x2, y2) at point B. If we are trying to locate a point that is 3/10 along the way from A to B, it is like scaling the vector AB by 0.3 (3/10).

To find the x and y coordinates of that point, we would calculate it as follows:

• X-coordinate = x1 + 0.3 * (x2 - x1)
• Y-coordinate = y1 + 0.3 * (y2 - y1)

As a result, by substituting the coordinates of point A and B into these equations, we can find the coordinates of the point that is 3/10 of the way from point A to B.

Learn more about Vector Addition here:

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Final answer:

To find the coordinates of a point 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The coordinates of A are (11,7) and the coordinates of B are (-3,-6). Using the midpoint formula, we can calculate the coordinates of the desired point are (6.8, 3.1).

Explanation:

To find the coordinates of a point that is 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates. In this case, the coordinates of A are (11,7) and the coordinates of B are (-3,-6). So, we can find the coordinates of the point 3/10 of the way from A to B by taking 3/10 of the difference between the x-coordinates and adding it to the x-coordinate of A, and taking 3/10 of the difference between the y-coordinates and adding it to the y-coordinate of A. Let's calculate it step by step:

x-coordinate: (3/10)(-3 - 11) + 11 = (3/10)(-14) + 11 = -4.2 + 11 = 6.8

y-coordinate: (3/10)(-6 - 7) + 7 = (3/10)(-13) + 7 = -3.9 + 7 = 3.1

So, the coordinates of the point that is 3/10 of the way from A to B are (6.8, 3.1).

Learn more about Midpoint formula here:

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Answer:

D. SSS

Step-by-step explanation:

Was given to us that the corresponding sides are congruent so is SSS.

Side Side Side Theorem tells us that if am the sides of a triangle are having the same measurement with the corresponding sides of another triangle then the two triangles are congruent.