Ask question

Ask question

All categories

Lady bird [3.3K]

2 years ago

14

Richard has a huge barn, 20 chickens, 4 ducks, 8 pigs, 6 horses, 4 cows, 8 ducks, and 4 goats. Which of the following equivalent

ratios represent the ratios of cows to horses?

1 answer:

Triss [41]2 years ago

3 0

2:3

ratio of cows to horses:

4:6 = 2:3

You might be interested in

During the 7th examination of the Offspring cohort in the Framingham Heart Study, there were 1219 participants being treated for

AlexFokin [52]

Answer:

95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

Step-by-step explanation:

We are given that during the 7th examination of the Offspring cohort in the Framing ham Heart Study, there were 1219 participants being treated for hypertension and 2,313 who were not on treatment.

The sample proportion is : $\hat p$ = x/n = 1219/3532 = 0.345

Firstly, the pivotal quantity for 95% confidence interval for the proportion of the population is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion = 0.345

n = sample of participants = 3532

p = population proportion

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level of

significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

<u>95% confidence interval for p</u>= [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.345-1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } }$ , $0.345+1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } }$ ]

= [0.3293 , 0.3607]

Hence, 95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

6 0

3 years ago

What is the slope of a line that passes through (2,-5) and (6,-2)? *

forsale [732]

Answer:

Step-by-step explanation:

7 0

3 years ago

The number of lightning strikes in a year at the top of a particular mountain has a poisson distribution with a mean of 3.8. fin

atroni [7]

Let X be the number of lightning strikes in a year at the top of particular mountain.

X follows Poisson distribution with mean μ = 3.8

We have to find here the probability that in randomly selected year the number of lightning strikes is 0

The Poisson probability is given by,

P(X=k) = $\frac{e^{-mean} mean^{x}}{x!}$

Here we have X=0, mean =3.8

Hence probability that X=0 is given by

P(X=0) = $\frac{e^{-3.8} 3.8^{0}}{0!}$

P(X=0) = $\frac{0.02237 * 1}{1}$

P(X=0) = 0.0224

The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224

5 0

3 years ago

the diameter of one species of bacteria is shown. bonnie approximates this measure as 3 x 10^-11 meter. is she correct? explain.

stich3 [128]

Answer:

No

Step-by-step explanation:

No picture of the bacteria provided, but according to some text books its arround 0.2 - 2m in micrometer measurement, so 3 x 10^-11 is far more smaller than the range.

5 0

2 years ago

Which number is a common factor of 16 and 56?

Vikki [24]

Answer:

The gcf of 56 and 16 is 8.

brainliest please!

5 0

3 years ago

Read 2 more answers