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Black_prince [1.1K]
2 years ago
6

In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegeta

bles, and 458 reported that they preferred eating vegetables. What value of z should be used to calculate a confidence interval with a 95 % confidence leve? Zo.10 Z0,05 Zo,025 20,01 Zo.005 1.960 1.282 2.326 2.576 1.645
Mathematics
1 answer:
alukav5142 [94]2 years ago
4 0

Answer:

Z_{0.05}=1.645

Step-by-step explanation:

Given :In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegetables, and 458 reported that they preferred eating vegetables.

To Find :What value of z should be used to calculate a confidence interval with a 95 % confidence level?

Solution:

Confidence level = 95 % i.e.0.95

So, significance level = 5% i.e. 0.05

So, the value of z corresponding to significance level 0.05 should be used  to calculate a confidence interval with a 95 % confidence level

So, Z_{0.05}=1.645

Hence z should be 1.645 to calculate a confidence interval with a 95 % confidence level.

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A runner increases his velocity from 0 m/s to 20 m/s in 2.0s. What was his average acceleration?
xenn [34]

change in velocity = 20 - 0 = 20

change in time = 2 seconds

Divide the change in velocity over the change in time: 20/2 = 10

The average acceleration is 10 m/s^2

I.e, each second, the speed increases by 10 m/s

7 0
2 years ago
Mark wants to use a grid like the ones in exercise 1 and 2 to model the percent equialent of the fraction 2/3. how many grid squ
artcher [175]
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Solve graphically the system of linear equations:<br><br><br> x-y=1<br><br> x+3y=9
Anna [14]
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Answer: (3, 2) Hope this helps :)




5 0
2 years ago
Read 2 more answers
General Hospital has noted that they admit an average of 9 patients per hour.
serious [3.7K]

Answer:

(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.

(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.

Step-by-step explanation:

<u>The complete question is:</u> General Hospital has noted that they admit an average of 8 patients per hour.

(a) What is the probability that during the next hour less than 3 patients will be admitted?

(b) What is the probability that during the next two hours exactly 8 patients will be admitted?

The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

P(X = x) = \frac{e^{-\lambda} \times \lambda^{x} }{x!} ; x = 0,1,2,......

Here X = Number of patients admitted in the hospital

         \lambda = arrival rate of patients per hour = 9 patients

So, X ~ Poisson(\lambda = 9)

(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)

    P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

                  = \frac{e^{-9} \times 9^{0} }{0!} + \frac{e^{-9} \times 9^{1} }{1!} + \frac{e^{-9} \times 9^{2} }{2!}

                  = e^{-9}  +(e^{-9} \times 9)+ \frac{e^{-9} \times 81}{2}

                  = <u>0.00623</u>

(b) Here, \lambda = 9 \times 2 = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.

So, X ~ Poisson(\lambda = 18)

Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)

    P(X = 8) =  \frac{e^{-18} \times 18^{8} }{8!}

                  = <u>0.00416</u>

3 0
2 years ago
Write the equation 6561 1/4= 9 in logarithmic form.
Vlad1618 [11]

Answer:

  b. log6561(9) = 1/4

Step-by-step explanation:

The relationship between the exponential form and the log form is ...

  b^n=x\\\log_b{(x)}=n

The exponent is the logarithm. The base is the value the exponent is being applied to.

Here, you have ...

  6561^{\frac{1}{4}}=9

Comparing this to the form above, we see ...

  b = 6561, n = 1/4, x = 9

so the log form of the equation is ...

  \boxed{\log_{6561}{(9)}=\frac{1}{4}}

This matches choice B.

8 0
2 years ago
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