Beth wants to determine a 99 percent confidence interval for the true proportion pp of high school students in the area who attend their home basketball games. Out of nn randomly selected students she finds that that exactly half attend their home basketball games. About how large would nn have to be to get a margin of error less than 0.01 for pp

Answer:

x = 65.03°

Step-by-step explanation:

To solve for x, we have to apply trigonometric ratio.

Recall: SOH CAH TOA

From the diagram, we know the following:

Reference angle = x

Hypotenuse = 45

Adjacent = 19

Since we know the Hyp and Adj, we would apply CAH, which is:

Cos x = Adj/Hyp

Plug in the values

[tex] cos(x) = \frac{19}{45} [/tex]

[tex] x = cos^{-}(\frac{19}{45}) [/tex]

x = 65.0250346°

x = 65.03° (nearest hundredth)

Answer:

[tex](7m^2+10)^2[/tex]

Step-by-step explanation:

This is a quadratic in disguise. To visualize this better, let [tex]x=m^2[/tex]. We have:

[tex]49x^2+140x+100[/tex]

To factor, we can write out the format [tex](ax+y)(bx+z)[/tex]. We're looking for numbers [tex]a[/tex], [tex]b[/tex], [tex]y[/tex], and [tex]z[/tex] such that the following is true:

We find the following numbers:

[tex]a=7,\\y=10, \\b=7, \\z=10[/tex]

Thus, we have:

[tex](7x+10)(7x+10)[/tex]

Substitute back [tex]x=m^2[/tex] to get your final answer:

[tex](7m^2+10)(7m^2+10)=\boxed{(7m^2+10)^2}[/tex]

Answer:

6 cm (Option A)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Lets say there are two triangles ΔABC & ΔXYZ , who are similar to each other.

[tex]=> \frac{Area \: of \: ABC}{Area of XYZ} = (\frac{AB}{XY})^ {2} = (\frac{BC}{YZ})^2 = (\frac{AC}{XZ} )^2[/tex]

SOLUTION :-

In the question it's given that ΔPQR is an enlarged figure of ΔABC.

⇒ ΔPQR is similar to ΔABC.

[tex]=> \frac{Area \: of \: PQR}{Area \: of \: ABC } = (\frac{QR}{BC})^2[/tex]

[tex]=>\frac{32}{8} = (\frac{QR}{3})^2[/tex]

Root squaring both the sides ,

[tex]=> \sqrt{(\frac{QR}{3})^2} = \sqrt{\frac{32}{8} }[/tex]

[tex]=> \frac{QR}{3} = \sqrt{4} =2[/tex]

Multiplying both the sides by 3 ,

[tex]=> \frac{QR}{3} \times 3 = 2 \times 3[/tex]

[tex]=> QR = 6 \:cm[/tex]

9514 1404 393

Answer:

  228 km

Step-by-step explanation:

Traveling 3 hours at 76 km/hour, the train covers a distance of ...

  distance = speed × time

  distance = (76 km/h)(3 h) = 76×3 km = 228 km

Answer:

option 3) ii, iv, v

Step-by-step explanation:

|-12| means write the absolute value, which means just the number without the sign.

Therefore |-12| = 12

So, ii.  12

    iv.   |12| is also = 12

     v.   -( -12) is also = 12

Answer:

12.00000000000000000

Answer:

4.0.

Step-by-step explanation:

In sample 1, you do 0.65/1.3 which gets you to 0.5, so then you do the same to the bottom which you also have to divide by 1.3, and 5.2/1.3 is 4.0 or 4.

Answer:

option D.  4.0

Step-by-step explanation:

                    Mass              Volume

Sample 1        0.65                0.5

Sample 2        5.2                   x

[tex]\frac{0.65}{5.2} = \frac{0.5}{x}\\\\0.65 \times x = 0.5 \times 5.2\\\\0.65x = 2.6\\\\x =\frac{2.6}{0.65} =4[/tex]

Answer:

Pizza Uno offers $5.25 for a small pizza and Pizza Duo offers $5.60 for a small pizza.

Step-by-step explanation:

For Pizza Uno:

For pizza Duo: (the "%" is actually 3/4)

Step-by-step explanation:

6.5+6.5=diameter

Answer:

13 cm

Step-by-step explanation:

The diameter is twice the radius

The radius is 6.5 cm

diameter = 2 * 6.5 = 13 cm

Answer:

The decimal number system comprises digits from 0-9 that are 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9. Some of the decimal number system examples are: ... 34110, 5610, 678910, 7810. Now as we know to write decimal numbers till 10 let us use the 3 rules on a decimal system,to write further numbers.

[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]

Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. ... It also requires a dot (decimal point) to represent decimal fractions.

Answer:

Step-by-step explanation:

Ax+By=C

Ax=C-By

x=C-By/A

(x – 3)² – 10 = 15

↓

[tex] {x}^{2} - 6x + 9 - 10 = 15[/tex]

[tex] {x}^{2} - 6x - 1 = 15[/tex]

[tex] {x}^{2} - 6x - 15 = 0[/tex]

[tex] {x}^{2} + 2x - 8x - 1 - 15 = 0[/tex]

[tex] {x}^{2} + 2x - 8x - 16 = 0[/tex]

[tex]x \times (x + 2) - 8x - 16 = 0[/tex]

[tex]x \times (x + 2) - 8(x + 2) = 0[/tex]

[tex](x + 2) \times (x - 8) = 0[/tex]

[tex]x + 2 = 0[/tex]

[tex]x - 8 = 0[/tex]

so,

[tex]x1 = - 2[/tex]

[tex]x2 = 8[/tex]

Answer:

15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

Step-by-step explanation: 15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

2.75

Step-by-step explanation:

[tex]\sf\purple{2.75}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{11}{4} \\ = 2.75[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

Answer:

First problem: 24 + 4x = 60

Second problem: 9

Step-by-step explanation:

24 + 4x = 60

4x = 36

x = 9

Answer:

4x5=20

20 divided by 5 = 4

Step-by-step explanation:

Answer:

20 ÷ 4  = 5 and 20 ÷ 5  = 4 also 4 x 5  = 20

Step-by-step explanation:

Answer: D = 4, 4.5

E = 5, 4.75

H = 8, 5.5

I = 9, 5.75

Step-by-step explanation:Gang

The coordinates of the corresponding points are given below.

C ⇒ (3, 4.25)

D ⇒ (4, 4.50)

E ⇒ (5, 4.75)

F ⇒ (6, 5)

G ⇒ (7, 5.25)

H ⇒ (8, 5.50)

I ⇒ (9, 5.75)

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is the m:n ratio, finding the mid-point of the line, etc.

AB is separated into equal sections in the picture. Point A's coordinates are (2, 4), and Point Bare's coordinates are (10,6).

There are eight sections of line AB. Then the rise in abscissa after each segment is calculated as,

⇒ (10 - 2) / 8

⇒ 8 / 8

⇒ 1

Then the rise in ordinate after each segment is calculated as,

⇒ (6 - 4) / 8

⇒ 2 / 8

⇒ 0.25

Then the coordinate of the points is written as,

C ⇒ (3, 4.25)

D ⇒ (4, 4.50)

E ⇒ (5, 4.75)

F ⇒ (6, 5)

G ⇒ (7, 5.25)

H ⇒ (8, 5.50)

I ⇒ (9, 5.75)

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ7

Answer:

(5^2)(5-7)

Step-by-step explanation:

So we know h(x)=x-7.

We also know g(x)=x^2

We need to plug in these values for (g*h)(5)

This would equal:

((x-7)*x^2)(5)

Since parthese can also be considered multipcation symbols, we can think of this as:

(x-7)(x^2)(5)

Lets distrubute the 5 to all the x's:

(5-7)(5^2)

Which is:

([tex]5^{2}[/tex])(5-7)

This looks like answer C.

Hope this helps!

Answer:

the answer is one hundred and eight 108

Step-by-step explanation:

108 bro trust me

Solution :

Avrami relationship

[tex]$1-y=exp(-kt^n)$[/tex]

[tex]$\ln(1-y)=-kt^n$[/tex]

[tex]$-\ln(1-y)=kt^n$[/tex]

[tex]$\ln\left[\ln\left(\frac{1}{1-y}\right)\right]=\ln k + n \ln t$[/tex]

The fraction transformed is 0.2 at 12.6 s,

[tex]$\ln\left[\ln\left(\frac{1}{1-0.2}\right)\right]=\ln k + n \ln (12.6)$[/tex]

[tex]$-1.5 = \ln k + 2.533 n$[/tex]  .........(i)

The fraction transformed is 0.7 at 25.7 s,

[tex]$\ln\left[\ln\left(\frac{1}{1-0.7}\right)\right]=\ln k + n \ln (25.7)$[/tex]

[tex]$0.5 = \ln k + 3.24 n$[/tex]   ..............(ii)

Subtract (ii) from (i),

-2 = -0.71 n

n = 2.81

Therefore, from (i),

[tex]$-1.5 = \ln k + 2.533 (2.81)$[/tex]

k = 0.000181

Now if the fraction transformed is 0.92, then

[tex]$kt^n=-\ln (1-y)$[/tex]

[tex]$t=\left[\frac{-\ln (1-y)}{k}\right]^{\frac{1}{n}}$[/tex]

[tex]$t=\left[\frac{-\ln (1-0.92)}{0.000181}\right]^{\frac{1}{2.81}}$[/tex]

t = 29.8528 s

9514 1404 393

Answer:

  p = 6

Step-by-step explanation:

The difference between the first two terms is ...

  5p -p = 4p

Since this is an arithmetic sequence, the next term will be 4p more than the last term:

  5p +4p = 9p

Then the sum of the first three terms is ...

  p + 5p + 9p = 90

  15p = 90 . . . . . . . . . . collect terms

  p = 6 . . . . . . . . . . . . divide by 15

_____

The first three terms are 6, 30, 54.

Answer:  No, we don't have a right triangle

==========================================================

Explanation:

If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.

Here we have a = 2, b = 5 and c = 7.

So...

a^2+b^2 = c^2

2^2+5^2 = 7^2

4+25 = 49

29 = 49

The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do not have a right triangle.

------------

In contrast, consider the classic 3-4-5 right triangle

a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).

Answer:

A. 0.75

B. Elsa can expect to gain 0.75 dollars

Step-by-step explanation:

We have six outcomes

Using the table in the attachment, the expected value was calculated.

Expected value = 0.166667+0.3333+0.5-0.083333-0.083333-0.083333

= 0.75

B. From the answer in part A , we can conclude that Elsa can expect to gain money. She can expect to win 0.75 dollars per roll.

Answer:

q = 3m

Step-by-step explanation:

We know that segment HF is half of IJ, therefore we can say;

IJ / 2 = HF or q

6 / 2 = HF or q

3 = HF or q

Hope this helps!

-> 4x= 66-10

-> 4x= 56

-> x= 56/4

-> x= 14

mark me brainliestttt plsss :)))

Answer:

x = 14.

Step-by-step explanation:

4x + 10 = 66

4x + 10 - 10 = 66 - 10

4x = 56

x = 56/4 = 14.

Answer: D y>2x-1

y<1/3x+1

Step-by-step explanation: I took the test and got it right

The points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities D y>2x-1 and y<1/3x+1 which is correct options (D).

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Given the system of inequalities as

y>2x-1 and y<1/3x+1.

To determine the solutions, you first have to graph both of the lines in the problem.

y = 2x-1 and y = 1/3x+1. Then, to shift them to inequality, you have to shade the half-plane that they represent.

The solution is the space that they have in common. In this case, it will be on the right side of the graph.

The points (0, 0) and (6/5, 7/5) are included in the shaded region they have in common.

Hence, the points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities y>2x-1 and y<1/3x+1.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

Percentage

Step-by-step explanation:

Answer:

the answer is

yes to 7 and no to 10

Step-by-step explanation:

7. y = 3x--------->   2*3 = 6

10. y = 7x+2--------------> 2*7=14--> 14+2 = 16

16 does not equal 0

Answer:

-1.2

Step-by-step explanation: