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tangare [24]
4 years ago
5

High temperatures in a certain city for the month of august follow a uniform distribution over the interval 63 degrees upper f63

°f to 93 degrees f.93°f. what is the probability that a randomly selected august day has a high temperature that exceeded 68 degrees f question mark
Mathematics
1 answer:
Tatiana [17]4 years ago
7 0
<span>Answer: The notation for the uniform distribution is X ~ U(a, b), where a = the lowest value and b = the highest value In your case, X ~ U(66,89) µ = (b+a)/2 Ď = (b-a)²/12 In this case, a = 66 and b = 89 Thus, µ = (89+66)/2 = 77.5 Ď = (89-66)²/12 = 44.0833 Then, because we now know the true/population µ and Ď, we can use z-scores. z = (X-µ)/Ď In our case, X = 71. So, Z = (X-µ)/Ď Z = (71-77.5)/44.0833 = -0.15 P(Z>-0.15) = P(Z<0.15) = 0.5596</span>
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Given m||n, find the value of x.
umka21 [38]
The answer is x = 24 :)

8 0
3 years ago
Quicky help????????????
sergeinik [125]

Step-by-step explanation:

first bring 87.5 to right

25t=12.5+87.5

25t=100.0

then bring 25 to right so it will divided

t=100.0/25

t=4

putting value of t in 25t-87.5=12.5

25(4)-87.5=12.5

5 0
3 years ago
Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p
Olegator [25]

Answer:

Reject <em>H</em>₀. There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.

The significance level of the test is, <em>α</em> = 0.02.

(1)

The hypothesis can be defined as follows:  

<em>H</em>₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. p_{1} - p_{2}=  0.  

<em>Hₐ</em>: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. p_{1} - p_{2}\neq  0.  

(2)

Compute the sample proportions and total proportion as follows:

\hat p_{1}=\frac{12}{189}=0.063\\\\\hat p_{2}=\frac{8}{429}=0.019\\\\\hat p=\frac{12+8}{189+429}=0.032\\

Compute the test statistic value as follows:

Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}

   =\frac{0.063-0.019}{\sqrt{0.032(1-0.032)\times [\frac{1}{189}+\frac{1}{429}]}}\\\\=2.86

The test statistic value is 2.86.

(3)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

p-value=2\cdot P(Z>2.86)=2\times 0.00212=0.00424

<em>p</em>-value = 0.00424 < <em>α</em> = 0.02.

The null hypothesis will be rejected at 0.02 significance level.

Reject <em>H</em>₀. There is a significant difference in drug resistance between the two states.

7 0
3 years ago
The base of a triangle is 2ft The height of the triangle is 15 in what is the area of the triangle in square inches
Yakvenalex [24]

Answer:

Area of a triangle = A = 180in^{2}

Step-by-step explanation:

Given Data:  

height of a triangle = h = 15 in

base of a triangle = b = 2 feet  = 2*12 =24 in

To Find Out:  

Area of a triangle = A = ?  

Formula:  

Area of a triangle = A =  \frac{1}{2} (b*h)

Solution:  

Area of a triangle = A =  \frac{1}{2} (b*h)

Area of a triangle  = A =  \frac{1}{2} (24*15)

Area of a triangle  = A =  \frac{1}{2} (360)

Area of a triangle = A = 180in^{2}

5 0
3 years ago
8^-8 in fraction form show work please and thank you
Strike441 [17]
If there is a negative exponent, bring the exponent and it’s base to the denominator:
1/8^8
Then, simplify
1/16777216
Hope this helps!
6 0
3 years ago
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