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photoshop1234 [79]

3 years ago

14

If you buy a package then you get a 12% discount The discounted price is $132. What is the price of the package without the disc

ount.

1 answer:

lianna [129]3 years ago

8 0

12% of $132=15.84

$132+15.84

=$147.84

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The club has only $475 in its bank account. Write

larisa86 [58]

An inequality that represents this equation would be:

x ≤ 475

They cant spend more than $475, so they can spend less than or $475 as represented in the question.

8 0

2 years ago

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

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sertanlavr [38]

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1 year ago

The chorus has 30 members. What expression represents the number of ways a group of 6 members can be chosen to do a special perf

RoseWind [281]

The problem uses the concept of Combination where there are number of members chosen from a group and there order is not important. Thus, the expression that would best describe the given above is 30C6 which means the combination of 30 taken 6. The numerical value for this is 593775.

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DiKsa [7]

Answers:

Choice B) y = (1/4)x
The unit rate is <u> 3.89 </u> dollars per pound. It costs <u> 23.34 </u> dollars for a turkey that weighs 6 pounds.

=====================================================

Explanations:

Direct proportional equations are always in the form y = kx, where k is some constant. In the case of choice B, we have k = 1/4. Visually, direct proportion equations are always straight lines and go through the origin.
Divide $34.99 over 9 to get 34.99/9 = 3.88777 approximately. This rounds to 3.89, so it costs $3.89 per pound. That's the unit rate. Multiply this by 6 to get 6*3.89 = 23.34 which is the cost of the 6 pound turkey.

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3 years ago

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