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3 years ago

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Willow has a recipe that asks her to use 3/4 cup of sugar. She is going to make 1/2 of the recipe, so she only needs 1/2 of that

3/4 cup. How many cups of sugar will she use?

1 answer:

Novosadov [1.4K]3 years ago

5 0

Answer:

3/8ths cup

Step-by-step explanation:

take 3/4 and times that by 2 then you get 6/8th and then take half of the 6 out and get 3/8th

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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].

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3 years ago

A garage contains a combination of 20 bicycles and tricycles in total,there are 44 wheels how many bicycles and how many tricycl

Amanda [17]

4 tricycles and 16 bicycles

hope this helps

4 0

3 years ago

What is the solution to this system of linear equations?

nataly862011 [7]

Step-by-step explanation:

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2 years ago

El rodeo has 837 students , El rodeo has 78 more students than hawthorne how many students are there at Hawthorne school later h

elena-s [515]

The number of Elrodeo students is 837.

Let the number of students at Hawthorne be x.

"<span>El rodeo has 78 more students than hawthorne</span>"

this means that

837 = 78 + x
x = 837 -78 = 759

Answer: Hawthorne has 759 students

5 0

3 years ago

52% of what number is 39? help please.

Brut [27]

For this question you should say:
52/100 = 39/?
so ? is your answer and you will have:
? = 39*100/52 = 75 and that's the answer :)))
i hope this is helpful
have a nice day

5 0

3 years ago