In A Quiz Team a Scores -30 , 10 , 40 .

Mathematics

1 answer:

VLD [36.1K]3 years ago

3 0

Answer:

Team B scored more. By 10.

(Team A) -30 + 10 = -20 + 40 = 20

(Team B) 30 + 10 = 40 + -10 = 30

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Solve 3x - x + 2 = 12. (1 point) -5 4 7 5

MrRa [10]

Answer: x=5

Step-by-step explanation:

3x - x = 12 - 2

2x = 10

x = 10/2

x = 5

5 0

3 years ago

A soft-drink machine can be regulated so that it discharges an average of μ oz. per cup. If the ounces of fill are Normally dist

sattari [20]

Answer:

μ = 5.068 oz

Step-by-step explanation:

Normal distribution formula to use the table attached

Z = (x - μ)/σ

where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.

98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].

From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives

Z = (x - μ)/σ

2.33 = (6 - μ)/0.4

μ = 6 - 2.33*0.4

μ = 5.068

This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.

4 0

3 years ago

Find the dimensions of a rectangle with perimeter 108 m whose area is as large as possible. (If both values are the same number,

V125BC [204]

Answer:

27 by 27

Step-by-step explanation:

Let the sides be x and y. The problem is essentially asking:

Given 2(x+y)=108, maximize xy.

We know that x+y=54. By the Arithmetic Mean - Geometric Mean inequality, we can see that $\frac{x+y}{2} \ge \sqrt{xy$ . Substituting in x+y=54, we get $27\ge\sqrt{xy}$ , meaning that $729 \ge xy$ . Equality will only be obtained when x=y (in this case it will generate the maximum for xy), so setting x = y, we can see that x = y = 27. Hence, 27 is the answer you are looking for.