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tia_tia [17]
3 years ago
13

A study of the effects of acid rain on trees in the Hopkins Forest shows that 25 of 100 trees sampled exhibited some sort of dam

age from acid rain. This rate seemed to be higher than the 15% quoted in a recentEnvironmetricsarticle on the average proportion of damaged trees in the Northeast. Does the sample suggest that trees in the Hopkins Forest are more susceptible than trees from the rest of the region
Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

We can test this claim using the one proportion z test :

x = 25 ; n = 100

Phat = x / n = 25 / 100 = 0.25

H0 : P = 0.15

H0 : P > 0.15

The test statistic :

Z = (phat - p) ÷ √p(1-p)/n

Z = (0.25-0.15) ÷ √(0.15*0.85)/100

Z = 2.8

Using the Pvalue from Zscore calculator :

α = 0.05

Pvalue (Z < 2.8) =0.0026

Pvalue < α ; We reject the Null

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A rectangle has an area of 99 square in. What is the length of the long side?
OLga [1]

Answer:

The longer length is either 99, 33 or 11 inches

Step-by-step explanation:

Given

Area = 99

Required

The length of the longer side

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Length * Width = 99 * 1 = 99

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3 years ago
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viktelen [127]

Answer:

50 \sqrt[]{2} feet

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Can someone please help me with this problem
Serjik [45]

Answer:

1. 35

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3. 55

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Step-by-step explanation:

1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

∠1 = 35

2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal

3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55

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3 years ago
Find all constants a such that the vectors (a, 4) and (2, 5) are parallel.
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Equivalently:

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