A 98% confidence interval for a proportion is found to be (0.47, 0.53). What is
the sample proportion?
A. 0.53
B. 0.51
C. 0.49
D. 0.50

Answer:

Its the second one

Step-by-step explanation:

Answer:

[tex](a)\ \tan A = \frac{5}{12}[/tex]

[tex](b)\ \cos B = \frac{5}{13}[/tex]

Step-by-step explanation:

Given

See attachment for triangles

Solving (a)

[tex]\tan(A)[/tex]

The tan of an angle is:

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

From the given triangle.

[tex]Opposite = 5[/tex]

[tex]Adjacent = 12[/tex]

So, we have:

[tex]\tan A = \frac{5}{12}[/tex]

Solving (b)

[tex]\cos(B)[/tex]

The cos of an angle is:

[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

From the given triangle.

[tex]Adjacent = 5[/tex]

[tex]Hypotenuse = 13[/tex]

So, we have:

[tex]\cos B = \frac{5}{13}[/tex]

Answer:

22969.39 yd^2

Step-by-step explanation:

Alright to start, lets do the easier part of it, the sides of it. Since it is an octagonal prism, there are 8 rectangular sides to it. Each of these sides can be found with L*W, so use the given length of 15 and width of 6 to do this.

15 * 6 = 90

Since there's 8 of these:

90 * 8 = 720

Now, with the tricky part with the bases of the octagonal prism. Let's find the perimeter of the octagon, so use the top width of each of the rectangles.

6 * 8 = 48 = Perimeter

Now, here's the magic equation to avoid making this more complicated:

2(1+√2)p^2

Then plug in p

2(1+√2)48^2

(2+2√2) * 2304

(2+2.8284)*2304

4.8284*2304

11124.69...

But there's two bases so: 22249.39

Lastly, add this to the 720 from the rectangular prisms.

22249.39+720 = 22969.39

Hope that helps.

Answer:

n ≥ 6.24/x

Step-by-step explanation:

Given that :

Amount spent is atleast $6.24

Let price spent = p

p ≥ $6.24

If cost of granola bar = x

The number of granola bars, n purchased will be :

n ≥ 6.24/x

Since cost of granola bar isn't given, we represent it as x.

Answer:

Step-by-step explanation:

k

Answer:

22=2x+6

Step-by-step explanation:

you subtract 6 from both sides

that leaves u with 16=2x

then divide 2 by 16 and that equals

8

so 8=x

each game costs $8

you put the 2 in front of the x in the beginning due to Toni playing 2 games while the shoes are a one time fee.

Answer:

[tex]sin 35 = \frac{opposite}{hypotenuse} \\\\\\sin 35 = cos(90-35) \\\\cos 55= \frac{opposite}{hypotenuse} = \frac{12}{x}[/tex]

option A

Answer:

5x-6

Step-by-step explanation:

Answer:

48in²

Step-by-step explanation:

to find the area of a triangle you first divide the base by 2 then multiply it by the height

Answer:

51 in²

Step-by-step explanation:

formula of a triangle: [tex]\frac{1}{2}[/tex]bh

the base is 3 and the height is 7

1/2(3)(7)

1/2(21)=

10.5

Since there are 4 of these same triangles, we multiply by 4.

10.5 · 4 = 42 in²

formula of a square: bh

base is 3 and height is 3

(3)(3) =

9 in²

add them together and you get your answer of 51 in²

Answer:

B) 4 one-point baskets: 5 three-point baskets

Step-by-step explanation:

(4 x 1) + (5 x 3) = 19

Answer:

B

Step-by-step explanation:

5x3=15

4x1=4

15+4=19

PLUS a total of 9 baskets.

Therefore, your answer is B

1:3 I think **************

Answer:

i hink c or a

Step-by-step explanation:

Properties  

A line segment is a connected, non-empty set.

If V is a topological vector space, then a closed line segment is a closed set in V. However, an open line segment is an...

More generally than above, the concept of a line segment can be defined in an ordered geometry.

A pair of line segments can be any one of the following: intersecting, parallel, skew, or none of...

Answer:

Number of people with polio.

Ice cream sales.

Seems like a weird thing to be correlated but I saw a graph with this example and people used to think that ice cream was the reason for polio. It's obvious there's no causation!

hope this helps!!

No shes not.

You need to add all the sides if finding perimeter

Answer:

no

Step-by-step explanation:

the equation should only have one 5, the other 5 doesn't matter for perimeter

Answer:

Y-intercept is 7

Step-by-step explanation:

Y-intercept is when the graph crosses the y-axis

Answer:

Step-by-step explanation:

Let angle ABZ be angle 1 and angle ZBC be angle 2.

Angle 1 = 85 degree

Angle 2 = 6x + 9

measure of angle ABC = 24x+4

Angle 2 = ABC - 85

6x + 9 = 24x + 4 - 85

6x - 24x = 4 - 85 - 9

-18x = -90

x = -90/-18 = 90/18 =

x = 5

Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree

Therefore the measure of angle ZBC = 39 degree

Hope you understand

Please mark as brainliest

Thank You

Answer:

16/50 or 8/25

Step-by-step explanation:

Good luck. Hope you get a good grade

Answer:

b=5 a=6

Step-by-step explanation:

x^5/6=x^b/a

5/6=b/a

b=5, a=6.

Answer:

a = 6

b = 5

Step-by-step explanation:

[tex] \large \boxed{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }[/tex]

Plug those values in.

[tex] \large{ {x}^{ \frac{5}{6} } = \sqrt[6]{ {x}^{5} } }[/tex]

From the question, our a is 6 and b is 5.

Answer:

x = 2

y = -3

Step-by-step explanation:

2x + 2y = -2, then 2y = -2 - 2x

3x - 2y = 12, then 2y = 3x - 12

so:

-2 - 2x = 3x - 12

add 2x and 12 to each side of the equation:

5x = 10

divide both sides by 5:

x = 2

2y = 3(2) - 12

2y = -6

divide both sides by 2:

y = -3

Answer:

letter C HOPE it helps.............

Answer:

B. 15 + x < 24

Step-by-step explanation:

12 + 7 = 19 which is > 16 not < so no

15 + 7 = 22 which is < 24 so yes

16 + 7 = 23 which is = 23 not < so no

17 + 7 = 24 which is < 26 not > so no

24 + 7 = 31 which is = 31 not > so no

Answer:

Banco A o banco B

Step-by-step explanation:

Question:

La tabla obtenida de una pregunta similar en el sitio se presenta a continuación;

[tex]\left |\begin{array}{ccccc}Entidad \ bancaria&Cuota \ inicial&Tasa \ de \ interes \ anual &\mid &Tiempo \ anos \\Banco \ "A"&10\%&15\%&\mid&20\\Banco \ "B"&20\%&13\%&\mid &25\\Banco \ "C"&0\%&10\%&\mid&30\end{array}\right |[/tex]

¿Qué banco es el más conveniente para financiar la vivienda familiar?

Para el banco A, tenemos;

El pago inicial = 10/100 × 200,000 = 20,000

El interés = 180.000 × 15 × 20/100 = 540.000

Importe total, A = 540.000 + 20.000 = 560.000

Para el banco B, tenemos;

El pago inicial = 20/100 × 200,000 = 40,000

El interés = 160.000 × 13 × 25/100 = 520.000

Importe total, B = 520.000 + 40.000 = 560.000

Para el banco C, tenemos;

El pago inicial = 0/100 × 200,000 = 0

El interés = 200.000 × 10 × 30/100 = 600.000

Monto total, C = 600,000 + 00 = 600,000

Por lo tanto, la familia debe seleccionar el banco A o el banco B que tenga el monto total de reembolso más bajo

Answer:

This is an example of a;

T-test

Step-by-step explanation:

A t-test is a statistic test from which inferences can be drawn based on weather the difference in the means of two sample groups that could have particular common characteristics. The t-test is used for data sets that are normally distributed and the variance may be unknown

The t-test is used to test a proposed hypothesis (assumption) about a population

Therefore, based on the interest of the health worker to determine if omega-3 fish oil can help reduce cholesterol in adults by finding the difference in the means for the group taking omega-3 fish oil and the group not taking omega-3 fish oil, from which it can be determined if the difference in mean is statistically significant, is an example of a t-test