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3 years ago

The coordinate plane below represents a city. Points A through F are schools in the city.

1 answer:

7 0

Part A:
a system of inequalities that only contain points D and E in the overlapping shaded regions is
5y + 2x > 12
2y - x < 12

Part B:
To verify that points D and E are solutions to the system of inequalities, we plug in the coordinate points of points D and E into the system of ineaqualities.

Part C:
To identify the schools that Timothy is allowed to attend we plug in the coordinate values of the points to see which satisfies the inequality y < 3x - 3. Thus Timothy is allowed to attend schools C and F.

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Find the missing length. If needed route to the nearest 10th. The length of X is? PLEASE ANSWER AND EXPLAIN PLEASEEE

yaroslaw [1]

Answer:x =8.3

Step-by-step explanation:

Triangle ABG is similar to triangle DBE. This means that the ratio of the length of each side of ∆ABG to the length of the corresponding side of ∆DBE is constant. Therefore,

AB/DB = BG/BE = AG/DE

AB = 11

BG = 10 + x

Therefore,

11/6 = (x + 10)/10

Cross multiplying, it becomes

6(x + 10) = 11 × 10

6x + 60 = 110

Subtracting 60 from left hand side and the right hand side of the equation, it becomes

6x + 60 - 60 = 110 - 60

6x = 50

Dividing the left hand side and the right hand side of the equation by 6, it becomes

6x/6 = 50/6

x = 8.3 rounded up to the nearest tenth

5 0

3 years ago

Solve 2c/15 =8.8. the solution to c is

ArbitrLikvidat [17]

The solution to c is 66

4 0

4 years ago

Pablo drove 23.1 miles to his aunt’s house, then drove 19.24 miles to his friend’s house. Which estimate can Pablo use to determ

katovenus [111]

23.1 can be estimated to 23 rounded to 20.

19.24 can be estimated to 19 rounded to 20.

The answer would be 42 which would be rounded to 40.

7 0

3 years ago

Read 2 more answers

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

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

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

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

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