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Kisachek [45]
3 years ago
9

What is 75% of 16 boxes

Mathematics
1 answer:
irakobra [83]3 years ago
4 0
75% of 16 boxes is 12
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A school choir has 36 members. There are three times as many underclassmen as seniors. How many seniors are in the choir?
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108 if my maths is correct
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11.447 is greater than 11.473
Stells [14]
No 11.473 is greater then 11.447
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Watching TV: In 2012, the General Social Survey asked a sample of 1326 people how much time they spent watching TV each day. The
Varvara68 [4.7K]

Answer:

We <em>fail to reject H₀ </em>as there is insufficient evidence at 0.5% level of significance to conclude  that the mean hours of TV watched per day differs from the claim.

Step-by-step explanation:

This is a two-tailed test.

We first need to calculate the test statistic. The test statistic is calculated as follows:

Z_calc = X - μ₀ / (s /√n)

where

  • X is the mean number of hours
  • μ₀ is the mean that the sociologist claims is true
  • s is the standard deviation
  • n is the sample size

Therefore,

Z_calc = (3.02 - 3) / (2.64 /√(1326))

           = 0.2759

Now we have to calculate the z-value. The z-value is calculated as follows:

z_α/2 = z_(0.05/2) = z_0.025

Using the p-value method:

P = 1 - α/2

  = 1 - 0.025

  = 0.975

Thus, using the positive z-table, you will find that the z-value is

1.96.

Therefore, we reject H₀ if | Z_calc | > z_(α/2)

Thus, since

| Z_calc | < 1.96, we <em>fail to reject H₀ </em>as there is insufficient evidence at 0.5% level of significance to conclude  that the mean hours of TV watched per day differs from the claim.

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Evaluate the expression for k=6<br> 42/k
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42/6 = 7! Happy to help
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Drag the tiles to the boxes to form correct pairs.
Oxana [17]

When two lines intersect at 90° degrees angle, the lines are perpendicular to each other. Two perpendicular lines, their slope will give a product of -1

i.e. if the first's line slope is 5, then the second line's will be -1 ÷ 5 = -¹/₅

To find the slope of a line, we divide the vertical distance by the horizontal distance.  

We'll use the trial and error method to find the right pairing

Let's start with A(3, 3) and B(12, 6)

Vertical distance =  

Horizontal distance =  

The slope AB = ³/₉ = ¹/₃

We want BC to have a slope -1 ÷ ¹/₃ = -3

Try C(16, -6); check the slope with B(12, 6)

Vertical distance =  

Horizontal distance =  

Slope of BC = -12 ÷ 4 = -3

The slope BC = -3 is the value we want so, tile 1 pair with tile 4

-------------------------------------------------------------------------------------------------------------

Let's do A(-10, 5) and B(12, 16)

Vertical distance = 16 - 5 = 11

Horizontal distance = 12 - -10 = 22

Slope AB = ¹¹/₂₂ = ¹/₂

The perpendicular slope would be -1 ÷ ¹/₂ = -2

Try C(18, 4)  with B(12, 16)

Vertical distance = 16 - 4 = 12

Horizontal distance = 12 - 18 = -6

Slope BC = ¹²/₋₆ = -2

Slope BC and slope AB perpendicular, so tile 3 matches with tile 6

--------------------------------------------------------------------------------------------------------------

Let's try A(12, -14) and B(-16, 21)

Vertical distance = 21 - -14 = 35

Horizontal distance = -16 - 12 = -28

The slope AB = ³⁵/-₂₈ = ⁵/₋₄

We need the perpendicular slope to be -1 ÷ -⁵/₄ = ⁴/₅

Try C(-11, 25)

Vertical distance with B = 25 - 21 = 4

Horizontal distance with B = -11 - -16 = 5

The slope = ⁴/₅

Tile 7 matches tile 8

--------------------------------------------------------------------------------------------------------------

Take A(-12, -19) and B(20, 45)

Vertical distance = 45 - -19 = 64

Horizontal distance = 20 - -12 = 32

Slope AB = ⁶⁴/₃₂ = 2

We need the perpendicular slope to be -1 ÷ 2 = -¹/₂

We have C(6, 52) and checking the slope with B(20, 45)

Vertical distance = 45 - 52 = -7

Horizontal distance = 20 - 6 = 14

The slope is ⁻⁷/₁₄ = -¹/₂

Tile 9 pairs with tile 2

-----------------------------------------------------------------------------------------------------------

Conclusion

Tile 1 ⇒ Tile 4

Tile 3 ⇒ Tile 6

Tile 7 ⇒ Tile 8

Tile 9 ⇒ Tile 2

Tile 5 and Tile 10 do not have pairs

5 0
3 years ago
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