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SpyIntel [72]
3 years ago
9

Jasper made a flag for his football team. He painted 1/2 of the flag blue and 1/2 of the flag yellow. He added stars to 1/3 of t

he blue section. What fraction of the total flag is blue section with stars?
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0

For this case we have that half of the flag was painted blue and the other half yellow.

In addition, a third of the blue half was covered with stars.

So:

\frac {1} {2} * \frac {1} {3} = \frac {1} {6}

A sixth of the flag is blue with stars.

Answer:

\frac {1} {6}

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Mkey [24]

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

4 0
2 years ago
Find the circumference of the circle in terms of π.
SSSSS [86.1K]

Answer:

  • C) 12π cm

Step-by-step explanation:

<u>Circumference formula:</u>

  • C = 2πr

Given r = 6 cm

<u>Circumference is:</u>

  • C = 2π*6 cm = 12π cm

Correct choice is C

4 0
2 years ago
A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than
professor190 [17]

Answer:

Girl, you know I'm far from perfect, I won't lead you on

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I know that mood right

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Ain't nothin' like y'all

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But tonight is feelin' perfect, it's your favorite song

I know that mood right

I know that mood right, oh

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I know that mood right

I know that mood right, oh

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Step-by-step explanation:

juice wrld - moonlight ;) yw

6 0
2 years ago
How do I solve this? (ACT prep)
Marat540 [252]
You got it right
<CDA = <ABC = 40
so

<CAD = 180 - 57 - 40
<CAD = 83

3 0
3 years ago
Read 2 more answers
Pls help with this problem
Gekata [30.6K]

Answer:

2

Step-by-step explanation:

Isolate the variable:

6x - 5 = 7

     +5   +5

6x = 12

/6     /6

x = 2

Check our work:

6(2) - 5 =7

12 - 5 = 7

7 = 7

Correct!

8 0
3 years ago
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