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Akimi4 [234]
2 years ago
12

PL HELP ASAP

Mathematics
2 answers:
kotykmax [81]2 years ago
6 0
(x+10)2
+
(2x-5)2
-
(x+1)4
klasskru [66]2 years ago
4 0

Answer:

x²+23x+49

Step-by-step explanation:

The area of the large rectangle can be found by multiplying the dimensions, x+10 and 2x+5:

(x+10)(2x+5)

x(2x)+5(x)+10(2x)+10(5)

2x²+5x+20x+50

2x²+25x+50

Next find the area of the smaller rectangle.  Do this by multiplying x+1 by x+1:

(x+1)(x+1)

x(x)+1(x)+1(x)+1(1)

x²+1x+1x+1

x²+2x+1

Now subtract the larger area and the smaller area:

(2x²+25x+50)-(x²+2x+1)

To do this, combine like terms:

2x²-x²+25x-2x+50-1

x²+23x+49

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Construct the confidence interval for the population mean. c=. 95 x=6. 4 o=. 3 and n=42.
Damm [24]

The confidence interval is (63.909, 64.0907).

The confidence interval of a population mean is found using the formula:

CI = x ± z(σ/√n), where CI is the confidence interval, x is the mean, z is the z-score corresponding to the confidence level, σ is the standard deviation, and n is the population size.

In the question, we are given the confidence level, c = 95%.

Z-score corresponding to this, z = 1.96.

The mean of the population, x = 6.4.

The standard deviation of the population, σ = 0.3.

The population size, n = 42.

Thus, using the formula, the confidence interval is:

CI = 6.4 ± 1.96(0.3/√42),

or, CI = 6.4 ± 0.09073037.

Thus, the confidence interval is (64 - 0.09073037, 64 + 0.09073037), or, (63.909, 64.0907).

Learn more about the confidence interval at

brainly.com/question/17097944

#SPJ4

3 0
2 years ago
cConsider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,
quester [9]
Expected value = -1(1/6) + 2(1/6) + 3(1/6) - 4(1/6) + 5(1/6) - 6(1/6) = -1/6 + 2/6 + 3/6 - 4/6 + 5/6 - 6/6 = -1/6 = -0.167
4 0
3 years ago
Read 2 more answers
2 Nine identical circles are cut from a square sheet of paper whose sides are
Ivanshal [37]

Answer:

278.64cm²

Step-by-step explanation:

Area of the sheet left out = Area of the square - Area of the 9 circles

Area of the square = L^2

L is the side length of the square

A = 36^2

Area of the square = 1296cm^2

Diameter of a circle = 38/3 = 12cm

Area of a circle = πr²

r is the radius = 12/2 = 6cm

Area of a circle = 3.14(6)²

Area of a circle = 3.14 * 36

Area of a circle = 113.04cm²

Area of 9 circles = 9 * 113.04

Area of 9 circles = 1,017.36cm²

Area of the left over = 1296 - 1,017.36

Area of the left over = 278.64cm²

6 0
2 years ago
Bill weighs 150 lbs. He wants to gain 2 lbs per week for football season. Jamal runs track. He wants to lose weight so he can ru
mars1129 [50]

The <u><em>correct answer</em></u> is:

15 weeks

Explanation:

Let w be the number of weeks.  Bill weighs 150 pounds and wants to gain 2 lbs per week; this gives us the expression 150+2w for Bill.

Jamal weighs 195 and wants to lose 1 pound per week; this gives us the expression 195-1w for Jamal.

To determine how many weeks it will take them to weigh the same, we set the two expressions equal:

150+2w=195-1w

Add 1w to each side:

150+2w+1w = 195-1w+1w

150+3w = 195

Subtract 150 from each side:

150+3w-150 = 195-150

3w = 45

Divide each side by 3:

3w/3 = 45/3

w = 15

7 0
3 years ago
Read 2 more answers
What is 20,700,0000 in standard notation?
alexdok [17]

Answer:

2.07 x 10^4

Step-by-step explanation:

8 0
3 years ago
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