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Mazyrski [523]
2 years ago
11

4. Paula drew a map of her neighborhood on a coordinate grid. A grocery store is located at point (5,-4). A park is located at p

oint (-5,4). Paula's house is located halfway between the grocery store and the park. A school is located halfway between Paula's house and the park. What are the coordinates of the school?
Mathematics
1 answer:
Paha777 [63]2 years ago
6 0

Answer:

Midpoint Formula= (x1+x2)/2, (y1+y2)/2

Plug in the numbers

Answer= (0, 0)

I hope this helps you!!

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The accompanying data represent the daily​ (for example, Monday to​ Tuesday) movement of Johnson​ & Johnson​ (JNJ) stock for
egoroff_w [7]

Supposing that the stock increases in 37 days, the 95% confidence interval for the proportion of days JMJ stock increases is: (0.484, 0.7292)

  • The lower bound is of 0.484.
  • The upper bound is of 0.7292.
  • The interpretation is that we are <u>95% sure that the true proportion</u> of all days in which the JMJ stock increases <u>is between 0.484 and 0.7292.</u>

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

Supposing that it increases on 37 out of 61 days:

n = 61, \pi = \frac{37}{61} = 0.6066

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6066 - 1.96\sqrt{\frac{0.6066(0.3934)}{61}} = 0.484

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6066 + 1.96\sqrt{\frac{0.6066(0.3934)}{61}} = 0.7292

The ​95% confidence interval for the proportion of days JMJ stock increases is (0.484, 0.7292), in which 0.484 is the lower bound and 0.7292 is the upper bound.

The interpretation is that we are <u>95% sure that the true proportion</u> of all days in which the JMJ stock increases <u>is between 0.484 and 0.7292.</u>

A similar problem is given at brainly.com/question/16807970

4 0
2 years ago
Heather, Shen, and Aldo served a total of 57 orders Monday at the school cafeteria. Shen served 2 times as many as Aldo. Aldo se
pishuonlain [190]

Answer:

Shen served 32 orders, Aldo served 16 orders and Heather served 9 orders

Step-by-step explanation:

Let S represent Shen, A, Aldo and H, Heather

Now, let's interpret the question

Shen served 2 times as many as Aldo, this gives:

S = 2A          ...eq 1

Aldo served 7 more orders than Heater

A = 7 + H     ... eq 2

Slot in the value of A in eq 1

Therefore,

S = 2 (7 + H)

Expand the bracket

S = 14 + 2H

Shen, Heather and Aldo served a total of 57 orders

S + A + H = 57

Slot in the values of S and A

(14 + 2H) + (7 + H) + H = 57

14 + 2H + 7 + H + H = 57

Collect like terms

14 + 7 + 2H + H + H = 57

21 + 4H = 57

4H = 57 - 21

4H = 36

H = 9

Substitute the value of eq 2

A = 7 + H

A = 7 + 9

A = 16

Substitute the value of A in eq 1

S = 2A

S = 2(16)

S = 32

Therefore, Shen served 32 orders, Aldo served 16 orders and Heather served 9 orders

5 0
3 years ago
HELP PLEASE write the perimeter of the figure
Sholpan [36]
The answer is B BECAUSE ALL YOU HAVE TO DO IS ADD ALL SIDES AND THEN MULTIPLY THEM


6 0
3 years ago
Read 2 more answers
Please help asap Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only
mario62 [17]

Answer:

in degree 11.54

in radians 0.20

Step-by-step explanation:

soh= o/h

sin(y)=4/20

y=sin^-1(4/20)

8 0
2 years ago
Read 2 more answers
Determine x please.
Margaret [11]
Ne demek istoyusun anlamadım
8 0
3 years ago
Read 2 more answers
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