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3 years ago

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cindy is making punch for the beta club ceremony she needs to double her recipe. The recipe calls for 1/4 gallon of ginger ale a

nd 1/2 gallon of fruit punch. Cindy knows that 1/2 double would be 1 whole but she is unsure about the ginger ale so what is the double for 1/4

1 answer:

Aleksandr-060686 [28]3 years ago

6 0

Double 1/4 is 2/4 which is equal to 1/2

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2 years ago

Find the angle θ between u = <7, –2> and v = <–1, 2>.

Dmitry_Shevchenko [17]

The angle between two vectors is:

CosФ = u - v / Magnitude(u) x magnitude(v)

Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)

Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)

u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11

cosФ = -11 / sqrt(53) x sqrt(5)

cosФ = -11sqrt265) / 265

Ф =cos^-1(-11sqrt265) / 265)

Ф=132.51 degrees.

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3 years ago

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An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of stude

AnnZ [28]

Answer:

60 students

Step-by-step explanation:

The confidence interval of a proportion is given by:

$p\pm z*\sqrt{\frac{p*(1-p)}{n} }$

Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.

If the confidence interval is from 0.584 to 0.816, then:

$p=\frac{0.584+0.816}{2}=0.7 \\0.816-0.584=2*(1.96*\sqrt{\frac{p*(1-p)}{n}}) \\0.116=1.96*\sqrt{\frac{0.7*(1-0.7)}{n}}\\n=16.8966^2*(0.7*0.3)\\n=60\ students$

60 students were in the sample.

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3 years ago

Find the Area of the Shaded Region.

BaLLatris [955]

Area of rectangle is length x width
area of smaller rectangle
9x5=45
area of large rectangle
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77-45=32

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2 years ago

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2x -2 = -200 <br><br><br> whats the value of x

Elden [556K]

Answer:

Step-by-step explanation:

2x - 2 = - 200

Bringing like terms on one side

2x = - 200 + 2 = - 198

2x = - 198

x = - 198/2 = - 99

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2 years ago

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