Find the missing side. Round to the nearest tenth

Answer:

The 98% confidence interval for the true population proportion of all New York students who favor year round school is (0.3083, 0.4383).

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].

A survey of 300 students from a New York State School District reveals that 112 favor year round school with two week vacations every ten weeks.

This means that [tex]n = 300, \pi = \frac{112}{300} = 0.3733[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3733 - 2.327\sqrt{\frac{0.3733*0.6267}{300}} = 0.3083[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3733 + 2.327\sqrt{\frac{0.3733*0.6267}{300}} = 0.4383[/tex]

The 98% confidence interval for the true population proportion of all New York students who favor year round school is (0.3083, 0.4383).

Answer:

Step-by-step explanation:

The answer is 110 minutes. Just did this on Khan Academy :)

Answer:

answer is $1920

Step-by-step explanation:

first of all u shoul find interest.so,

I=PTR/100

=$1600*5*4/100

=$32000/100

=$320

so interest is $3200.now,

Amount(A)=P+I

=$1600+$320

=$1920

so the total amount the person receives after 5 years at the rate of 4% is $1920.

Hope it helps u!!

Answer:

Acute

Step-by-step explanation:

All triangles have to have a acute or it would be to big

Answer:

yes it is because its a triangle and its acute

5x + 2 = 17

where x = 3

i hope this may be helpful

Answer:

A

Step-by-step explanation:

Answer:

4 and 6

Step-by-step explanation:

Let's say one of the numbers is x. That means the other number must be 10-x, because they add to 10.

We also know that the product of the numbers is 24, so

x(10-x)=24

10x-x^2=24

x^2-10x+24=0

After using the quadratic formula, we get x=6 or x=4.

If x is 6, then the other number is 10-6=4.

If x is 4, then the other number is 10-4=6.

Either way, the two integers are 4 and 6.

Answer:

Let numbers are x and y

Now,

X × y =24

•So the product of x and y =24

let x and y

4×6= 24

so we got our first answer that

the product of two positive integers (6×4) is 24

•let the number x and y

x+y =10

so now we have to take same number that is 6 and 4

so 6+4 =10

Answer:

Any questions for us

....

Answer:

k=4

Explanation:f(x)=x3+4x2−kx+1By the remainder theorem, the remainder when dividing a polynomial f(x)by (x−a)

is f(a)In our case, we have a=−1 and we need:0=f(−1)=(−1)3+4(−1)2−k(−1)+10=f(−1)=−1+4+k+10=f(−1)=k+4

Hence k=−4

might have gotten it wrong sorry if so.

The radian angle shown in the diagram should be considered as the 0.65.

Since radius is 10 inches

And,  An arc is traced from point A to point B with a length of 6.5 inches.

So here the radian angle be like

[tex]= 6.5 / 10[/tex]

= 0.65.

Hence, The radian angle shown in the diagram should be considered as the 0.65.

Learn more about circle here: https://brainly.com/question/14337527

Answer:

C = 81.69 ft

Step-by-step explanation:

Given the following data;

Diameter = 26 ft

To find the circumference of a circle;

Mathematically, the circumference of a circle is given by the formula;

Circumference of circle, C = πd

Where;

d represents the diameter of the circle.

Substituting into the formula, we have;

C = 3.142 * 26

C = 81.69 ft

9514 1404 393

Answer:

  B. (1/2)(4)(11)

Step-by-step explanation:

The length of the base is the sum of the lengths that make it up:

  3 + 8 = 11 . . . . feet

The height is 4 ft, so the area is ...

  A = 1/2bh

  A = 1/2(11)(4) . . . . . equivalent to choice B

Answer:

D

Step-by-step explanation:

14.80 is the answer

1 1

13.95

95

80

1 4

Answer:

It’s C

Step-by-step explanation:

When the outlier is on the right of the rest then it’s going to be positively skewed

Answer:

130°

Step-by-step explanation:

p and the 50° angle form a straight line/straight angle, meaning they are supplementary.

Supplementary angles add to 180°.

p+50=180

p=130

130°

Answer:

130

Step-by-step explanation:

angles formed by a straight line add up to equal 180°

Thus, 180 = 50 + p

180 - 50 = 130

50 - 50 cancels out

we're left with p = 130

Answer:

See Explanation

Step-by-step explanation:

Given

[tex](x,y) = (3,-6)[/tex]

Required

Which graph shows: [tex](3,-6)[/tex]

To do this, we simply check the intersection points of the lines on the graph.

This particular graph that is shown has [tex](x,y) = (3,-6)[/tex] as its solution because the point of intersection of both lines is at: [tex](3,-6)[/tex]

i.e.

[tex]x = 3[/tex]

[tex]y = -6[/tex]

Answer: 45 minutes

Step-by-step explanation:

Answer:

Mike is slightly acidic

Step-by-step explanation:

Answer:

x = 5/2

y = -1/2

Step-by-step explanation:

if both equations start with 'y=' then set the expressions equal to each other

3/5x - 1 = x - 3

add 1 to each side to get:

3/5x = x - 1

subtract 5/5x from each side:

3/5x - 5/5x = -1

-2/5x = -1

multiply each side by -5/2:

x = 5/2

y = 2 1/2 - 3

y = -1/2

Answer:

6/100 does equal 3/50

hope this helps!!

Answer:

[tex]3\frac{3}{49}[/tex]

Step-by-step explanation:

This one is pretty simple. 50 fits into 150 perfectly 3 times. If we take one out of the denominator, we must add one to the numerator after every whole number being taken out of the fraction and put in the ones spot.

Answer:

You have to find how many times 49 can fit into 150 and then that number is the whole and the remaining will be the numerator and 49 will stay as the denominator.

Step-by-step explanation:

Answer:

5.59

Step-by-step explanation:

2πR(C/360)

2π8(40/360)

5.58505

Answer:

V = 114.75 Volts

Step-by-step explanation:

Ohm's Law   V = IR

I = 4.5 A

R = 25.5 Ω

V = (4.5)(25.5)

V = [4×25.5] + [0.5×25.5]

V =  102 + 12.75

V = 114.75 Volts

Answer:

$9

Step-by-step explanation:

The linear system is going to be:

16m + 13s + 29c = $419

26m + 19s + 45c = $649

6m + 11s + 0c = $96

I don't really know why it is bringing up the determinant, all you need to do is put this into reduced row echelon form.  I personally used a calculator for this, but it could be done painstakingly by hand.

RREF gives me:

m=5

s=6

c=9

So a chocolate milkshake is $9

Answer:

3 inches

Step-by-step explanation:

Given that the volume of the rectangular prism or a cylinder needs to be [tex]258\frac{3}{4}[/tex] cubic inches. The container being made is a rectangular prism with a height of [tex]11\frac{1}{2}[/tex] inches and length of [tex]7\frac{1}{2}[/tex] inches.

A rectangular prism is a polyhedron with six rectangular faces.

Therefore the required width (w) needed to produce a container with a volume of [tex]258\frac{3}{4}[/tex] cubic inches is given by:

volume of a rectangular prism = height * width * length

Substituting:

[tex]258\frac{3}{4}[/tex] = [tex]11\frac{1}{2}[/tex] * [tex]7\frac{1}{2}[/tex] * w

258.75 = 11.5 * 7.5 * w

w = 258.75 / (11.5 * 7.5)

w = 3 inches

The required width is 3 inches

Answer: =11/20 (Decimal: 0.55)

Step-by-step explanation: Hope this help :D

It would be about 13 minutes.

Answer:

Step-by-step explanation:

g

Answer:

Choice 3... 2x + 3 =y

Step-by-step explanation:

Answer: 13P3= 1716

Step-by-step explanation: