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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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I am pretty sure I know the answer but I need to be certain. Please answer and give explanation if possible.
creativ13 [48]

Answer:

Vertical opposite angles are the same so the answer is D.

8 0
3 years ago
There are 4 consecutive even integers that add up to 268. Which integers are they?
xz_007 [3.2K]

Answer:

4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.

Step-by-step explanation:

Hope this helps         :)

4 0
3 years ago
If the car dealer pays 85% of the base price and 75% of the installed options price from the manufacturer,
stira [4]

Answer:

$18,007,50

Step-by-step explanation:

First, you have to calculate the 85% of the base price that the dealer pays for the car:

base price: $18,750

$18,750*85%= $15,937.5

Second, you have to calculate the 75% of the installed options price that the dealer pays:

installed options price= $2,380

$2380*75%= $1,785

Third, you have to add the 85% of the base price plus the 75% of the installed options that the dealer has to pay and you also have to add the destination charge of $285:

$15,937.5+$1,785+$285= $18,007.5

According to this, the dealer has to pay $18,007.5 for the car with a base price of $18,750 and installed options price $2380  including a destination charge of $285.

7 0
3 years ago
74ft <br> 24ft <br> b<br> What is the length of the missing leg?
amm1812

Answer: 70

Step-by-step explanation:

a^2 + b^2 = c^2

24^2 + b^2 = 74^2

576 + b^2 = 5,476

-576             -576

b^2             =4,900

(square root)

b                 =70

4 0
2 years ago
Solve for y.<br> 2x-3y=9
cluponka [151]

Answer:

y = 2/3x - 3

Step-by-step explanation:

Step 1: Write equation

2x - 3y = 9

Step 2: Solve for <em>y</em>

  1. Subtract 2x on both sides: -3y = 9 - 2x
  2. Divide both sides by -3: y = -3 + 2/3x
  3. Rewrite: y = 2/3x - 3
6 0
3 years ago
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