What is the solution to this system of equations?

Answer:

The 95% confidence interval for the population proportion of people in New Hampshire with cholesterol levels over 200 is (0.3216, 0.4784).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

You are told that a random sample of 150 people from Manchester New Hampshire have been given cholesterol tests, and 60 of these people had levels over the "safe" count of 200.

This means that [tex]n = 150, \pi = \frac{60}{150} = 0.4[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 1.96\sqrt{\frac{0.4*0.6}{150}} = 0.3216[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 1.96\sqrt{\frac{0.4*0.6}{150}} = 0.4784[/tex]

The 95% confidence interval for the population proportion of people in New Hampshire with cholesterol levels over 200 is (0.3216, 0.4784).

Answer:

1, 2, or 3

Step-by-step explanation:

if it's third degree then there must me 1 to 3 roots

hope you find this helpful :)

Answer: 0 or 2

Step-by-step explanation:

took test on edge2020

Answer:

EF=4

Step-by-step explanation:

vì diện tích bằng nhau và bằng 28 áp dụng công thức tính diện tích

Answer:

demographic

Step-by-step explanation:

Set up a ratio:

16/12 = 28/?

Cross multiply:

16? = 12 x 28

16? = 336

Divide both sides by 16:

? = 336/16

? = 21

Answer:

A

Step-by-step explanation:

Solution is in this picture.

Answer: s < $20

Step-by-step explanation:

Since Dawn has less than $60 and wants to buy 3 sweaters, then the price of sweaters that she can afford if all the sweaters are the same price will be:

(3 × s) < $60

where,

s = price of each sweater

3s < $60

Divide both side by 3

3s/3 < $60/3

s < $20

The price of each sweater is less than $20

9514 1404 393

Answer:

  about 0.299 kg/m³

Step-by-step explanation:

Density is the ratio of mass to volume.

  ρ = M/V

  ρ = (10 kg)/(4/3π(2 m)³) = 15/(16π) kg/m³ ≈ 0.299 kg/m³

Answer:

3

Step-by-step explanation:

The perimeter of the rectangle is equal to the doubled sum of the sides, and the area is equal to the product of the sides. So we have the following equation

Answer:

x<7

Step-by-step explanation:

See image below:)

Hope this help!!!

Have a nice day!!!

Answer:

Mark up % = 25%

Step-by-step explanation:

Cost of 100 shirts = 2000

Cost of 1 shirt = 2000/100 = 20

Selling price of  1shirt = 25

[tex]\% mark \ up = \frac{selling \ price - cost \ price }{cost \ price } \times 100 = \frac{25- 20}{20}\times 100 = \frac{5}{20} \times 100 = 25 \%[/tex]

Answer:

a.) a = -34 and b = 2

b.) a = -91.11 b = 2.22

c.) David scored 124, nancy scored 84.27

David scored higher

Step-by-step explanation:

for those in the 3rd grade

mean u = 67

s = 10

we used the z formula

[tex]z=\frac{x-u}{s}[/tex]

[tex]z=\frac{x-67}{10}[/tex]

we have the new score

u = 100

s = 20

we use this formula [tex]z*s+u[/tex]

[tex][\frac{x-67}{10} ]20\\[/tex] + 100

multiply through by 20

[tex][\frac{20x-1340}{10} ] +100[/tex]

dividing the bracket by 10

= [tex]2x-134+100[/tex]

= [tex]2x-34[/tex]

from this solution above,

a = -34 and b = 2

b.)

we solve for those in the 6th grade

u = 86

s = 9

[tex]\frac{x-86}{9}[/tex]

for new score,

y = 100

s = 20

[tex][\frac{x-86}{9} ]20+100[/tex]

[tex]2.22x-191.11+100\\= 2.22x - 91.11[/tex]

from this solution

a = -91.11

b = 2.22

c.) if David scored 79

[tex]= 2(x)-34[/tex]

= 2(79) - 34

= 158 - 34

= 124

if nancy scored 79

= 2.22(79) - 91.11

= 175.38 - 91.11

= 84.27

from these scores we can see that David scored higher in his grade

Answer:

sin θ = 12 / 13

Step-by-step explanation:

Given that :-

A right triangle having

Hypotenuse = 13

adjacent side ( Base ) = 5

Opposite side ( perpendicular ) = ?

To Find :-

Solution :-

Firstly ,we need to find opposite side ( missing side ) of triangle

Using Pythagorean theorem

a ² + b ² = c ²

substitute the value

( 5 ) ² + ( b) ² = ( 13 ) ²

evaluate the exponent

25 + b² = 169

subtract 25 from each side

25 - 25 + b² = 169 - 25

b ² = 144

Take the square root of each side

√b² = √144

b = 12

Hence , opposite side , b = 12

And , Finding sin θ

sin θ = opposite side / hypotenuse

sin θ = 12 / 13

Answer:

16 cents

Step-by-step explanation:

6 divided by 36 = 0.16666667

Answer:

V≈733.88cm³

Step-by-step explanation:

Thank you

Answer:

1) (0,a)

Step-by-step explanation:

f(0) = a. b^0 = a. 1 = a

=> (0,a)

Step-by-step explanation:

1) -5n+10n

= 5n

2) -x-9+2x-10

= 2x-x-9-10

= x-19

3) -5(x-10)-x

= -5x+50-x

= -6x+50

4) 9-5(1-7x)

= 9-5+35x

= 35x+4

5) y^2-x

= 3^2-2

= 9-2

= 7

Do the remain questions by yourself, you can do it!

Answer:

yes 6 lines are symmetry

Answer:

153.86 cm²

Step-by-step explanation:

Area circle = πr²

Area = 3.14 * 7²

Area = 3.14 * 49

Area = 153.86

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer and Step-by-step explanation:

4m + 18 is an expression.

This is because it has terms and no equal/inequality sign.

#teamtrees #PAW (Plant And Water)

Answer: Constant

Step-by-step explanation: Its an Constant because every variable is different in the expression.

Answer:

3/10 30%.3

hooe its write

Answer:

g + 200 - 2*600 = 1400

g = 2400 pounds

Step-by-step explanation:

g + 200 - 2*600 = 1400

g + 200 - 1200 = 1400

g - 1000 = 1400

g = 2400

Answer:

The graph of an even function is symmetric about the y-axis. The graph of an odd function is symmetric about the x-axis. It is possible that the use of these two words originated with the observation that the graph of a polynomial function in which all variables are to an even power is symmetric about the y -axis.

Answer:

True

Step-by-step explanation:

Answer:

Your answer is B

Step-by-step explanation: