The nutrition supervisor for a school district is considering adding a baked potato bar to the lunch for all the high school cafeterias. He wants to determine if there is a difference in the proportion of students who would purchase from the potato bar for two high schools, East and West. The cafeteria manager at each high school randomly surveys 90 students. At East High School, 63 of the students said they would purchase the potato bar on that day.
At West High School, 45 students said they would. Based on the 99% confidence interval, (0.02, 0.38), is there convincing evidence of a difference in the proportions of students who would purchase from the potato bar between East and West High Schools?

O There is convincing evidence because the entire interval is above 0.

O There is convincing evidence because the sample proportions are different at each high school.

O There is not convincing evidence because another interval using a lower level of confidence might contain 0.

O There is not convincing evidence because the entire student body should have been asked.

The probability that no orange discs are selected is 0.1295 and the probability that exactly 2 discs with numbers ending in a 6 are selected is 0.0721.

The probability that no orange discs are selected will be:

= 200C5 / 300C5

= 0.1295

The probability that exactly 2 discs with numbers ending in a 6 are selected will be:

= (30C2 × 270C3) / (300C5)

= 0.0721

The probability that exactly 2 orange discs with numbers ending in a 6 are selected will be:

= (100C2 × 290C3) / (300C5)

= 0.0092

The mean of the number of pink discs selected will be:

= np

= 5 × 1/3

= 5/3

The variance will be:

= 5 × 1/3 × 2/3

= 10/9 = 1.11

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Step-by-step explanation:

i hope this helps the steps are within the photo

Answer:

[tex]y\geq 2x+3[/tex]

Step-by-step explanation:

the gradient of a line is found by using the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

so we get [tex]\frac{5-3}{1-0}=\frac{2}{1} =2[/tex]

the y-intercept is where the line crosses the y-axis which is simply 3

so the equation of this line is [tex]y=2x+3[/tex] in the form [tex]y=mx+c[/tex]

but the question is asking for an inequality, specifically above the line so we get [tex]y\geq 2x+3[/tex]

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{-3-3}{-3}=2[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y-3=2x[/tex]

[tex]\\ \tt\Rrightarrow y=2x+3[/tex]

Put (0,0)

Hence the inequality is

[tex]\\ \tt\Rrightarrow y\geqslant 2x+3[/tex]

Answer:

you need to find that missing side... so (A squared) x (B squared) = (C squared)

A squared = 5

B squared is missing

C squared = 6

A=25

C=36

36-25= B squared....... B= (square root of 11)

now you need to plug in the numbers for the 6 trig equations...

sin0 = 5/6

cos0 = (square root of 11)/6

tan0 = 5/(square root of 11) which actually equals    5(square root of 11)/11

csc0 = 6/5

sec0= 6/ (square root of 11) which actually equals   6(square root of 11)/11

cot0 = (square root of 11/5

Step-by-step explanation:

Answer:

The answer is b. 979,000

Step-by-step explanation:

If you move the decimal right five time from 9.79 you would get 979,000

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. The equation is x² = 16² + 63² then the correct option is D.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The dimensions of the triangle are 16, 63, and x.

Where x is the hypotenuse.

By the Pythagoras theorem, we have

x² = 16² + 63²

More about the right-angle triangle link is given below.

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Answer:

D. 16 squared + 63 squared = x ^2 is the answer.

Step-by-step explanation:

Answer:

29.7 inches

Step-by-step explanation:

if it's a square box we can assume that all sides are equal. so the width is also equal to 21 inches.

to find the diagonal we use the pythagorean theorem which states that a^2 +b^2 =c^2 where c is the diagonal and (a) and (b) are 21

so diagonal is the root of

21^2 + 21^2

answer is 29.7

SORRY B GFVBSDJ FS VBDF HVDFSBV FNVFDHS

Answer:

Step-by-step explanation:

Green marbles = 4

Blue marbles = 6

Yellow marbles = 8

Red marbles = 2

[tex]4 + 6 + 8 + 2 = 20 \: marbles[/tex]

The probability of drawing marble not yellow:

[tex]4 + 6 + 2 = 12 \\ \frac{12}{20} = \frac{3}{5} [/tex]

Brainliest please.

Answer:

A (0,3)

Step-by-step explanation:

The Y-intercept is where X equals 0  

When X equals zero, Y equals 3.

Answer:

See below

Step-by-step explanation:

Scale it by  -4/3   then shift it left by 3

  scale by - 4/3  is the same as flipping the function about the x-axis

      and scaling it by 4/3

Using the tangent ratio, the height of the antenna, to the nearest meter, is AB = 8 m.

Tangent ratio is expressed as: tan ∅ = opposite/adjacent (TOA).

The information given has been sketched in the diagram attached below.

Find AC using the tangent ratio. Thus, we would have:

tan 29 = AC/CD

Substitute

tan 29 = AC/22

AC = tan 29 × 22 = 12.2 m.

Find BC using the tangent ratio:

tan 42 = BC/DC

Substitute

tan 42 = BC/22

BC = tan 42 × 22 = 19.8 m.

The height of the antenna, AB = BC - AC = 19.8 - 12.2 ≈ 8 m.

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Answer:

$19.07

Step-by-step explanation:

Look at image above...

The total cost of the meal is $19.065.

In mathematics, a percentage (from Latin per centum "by a hundred") is a number or ratio expressed as a fraction of 100.

A restaurant bill before tax is $15.50.

If the sales tax is 8% and a 15% tip is added.

The total cost of the meal is;

[tex]\rm Total \ cost = Bill \ amount + Sales \ tax + Tip\\\\ Total \ cost = 15.50 + 15.50 \times \dfrac{8}{100} + 15.50 \times \dfrac{15}{100}\\\\ Total \ cost = 15.50+1.24+2.32\\\\ Total \ cost = 19.065[/tex]

Hence, the total cost of the meal is $19.065.

To know more about percentages click the link given below.

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Answer:

[tex]\sqrt[4]{e};\frac1{4e}[/tex]

Step-by-step explanation:

The first derivative of [tex]f(x)[/tex] will give, for each x, the slope of the tangent at that specific x. Let's calculate the derivative, applying the quotient rule.

[tex]D(\frac AB) = \frac{A'B-AB'}{B^2}\\f'(x)= \frac1{x^8}[(\frac1x)x^4-(lnx)(4x^3)]=\frac1{x^8}[x^3(1-4lnx)]=\frac{1-4lnx}{x^5}[/tex]

Now, to find the point with an horizontal tangent (called "stationary points"), we set the first derivative equal to 0. Considering that we're working with [tex]x > 0[/tex] we deal only with the numerator.

[tex]1-4lnx = 0 \rightarrow lnx= \frac14\\x=e^\frac14 =\sqrt[4]{e}[/tex]

At this point we Replace the value we found in the equation to find it's y coordinate

[tex]f(\sqrt[4]e) = \frac{ln\sqrt[4]e}{\sqrt[4]e^4}= \frac{\frac14}{e} = \frac1{4e}[/tex]

Answer:

11.) 105 degrees

12.) 50 degrees

13.) 55 degrees

Step-by-step explanation:

11.) <EFG is a straight angle (180 degrees) so 180-75=105

12.) <FGC is a right angle (90 degrees) so subtract 40 and you get 50 degrees

13.) Sum of angles in a triangle is 180 degrees. Since we already know 2 angles, just subtract from 180. 180-75-50=55 degrees

Answer:

./48

Step-by-step explanation:

Answer

-640x^6y

Step-by-step explanation:

The perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.

The measure of the boundary of a plane or shape is called its perimeter. The perimeter of a plane or shape is the sum of all the sides.

A small rectangle has a length of 6.2 feet and width of 1.8 feet. The parameter of this triangle is,

[tex]P_s=6.2+1.8\\P_s=8\rm\; ft[/tex]

The small rectangle has a length of 6.2 and the larger rectangle has a length of 12.4 feet. Thus the scale factor of enlargement is,

[tex]r=\dfrac{12.4}{6.2}\\r=2[/tex]

The perimeter of the original rectangle is 16 feet and scale factor is 2. Thus, the perimeter of the enlarged rectangle is,

[tex]P_l=2\times16\\P_l=32\rm\; ft[/tex]

The small rectangle has width of 1.8 feet and scale factor is 2. Thus, the width of the larger rectangle is,

[tex]w_l=1.8\times2\\w_1=3.6\rm\; ft[/tex]

Hence, the perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.

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Answer:

X is 2 2+2= 4 plus 4 = 8

Step-by-step explanation:

Hoped this helped

Answer:

x = 2

explanation:

2x + 4 = 8

subtract 4 from both sides

2x + 4 -4 = 8 -4

2x = 4

divide both sides by 2

2x/2 = 4/2

x = 2

Recheck:

2x + 4 = 8

2(2) + 4 = 8

8 = 8

Hence proved the solution is correct.

The dot plot that was illustrated simply shows that the airline's flights had shorter flight times is Airjet Express.

It should be noted that a dot plot simply means a plot that is used to display the data values.

In this case, the dot plot that was illustrated simply shows that the airline's flights had shorter flight times is Airjet Express. This was depicted in the data visualization.

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Answer:

6(3x-2)

You can use the fact that the value which is outside of the bracket and in multiplication will be distributed to all terms inside with addition or subtraction( this is by distributive property of multiplication over addition).The expression which is equivalent to the given expression isWhat are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.The given expression is It can be seen that 18 is a multiple of 6 and 12 too is multiple of 6 Thus,we can write it as (since when bracket will be opened, the 6 value will distribute inside the bracket to each term joined by either addition or subtraction(which is negative addition).This expression is obtained by doing operations on given expression which didn't changed its value, so this expression obtained is equivalent to the given expression.(The given options are not correct, or it might be that the given expression is not written correctly).Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in Thus,The expression which is equivalent to the given expression is

6(3x-2)

Answer:

1.62857142857

Step-by-step explanation:

Im sure you can round to 1.6 or 1.62.

Answer:

Answer will be: $123.25

Answer for first question: x-intercept(s): (92,0)(92,0) y-intercept(s): (0,−95) for second question : x-intercept(s): (23,0)(23,0) y-intercept(s): (0,−12)

Step-by-step explanation:

Option 3 is not equivalent!

(Hope I could help!)

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

we're given that Angela formerly had 8 computer games.

★ She got 3 more video games on her birthday.

★ Then she gave away 4 video games.

_____________________________

_____________________________

[tex]\huge\red{ Solution -}[/tex]

[tex]8 + 3 - 4 \\ \dashrightarrow \: 11 - 4 \\ \dashrightarrow \: 7[/tex]

hope helpful :D

      A             B

D              C

vectors

AB = DC

AB (-2-7 ; 3-1) => AB (-9 ; 2)

DC (1-x : -7-y)

1 - x = -9 => x = 10

-7-y = 2 => y = -9

D(10 ; -9)

Answer:

D = (10, -9)

Step-by-step explanation:

If ABCD is a parallelogram, then AB = DC and BC = AD

Therefore,

[tex]\sf x_A-x_B=x_D-x_C[/tex]

[tex]\sf \implies 7-(-2)=x_D-1[/tex]

[tex]\sf \implies x_D=10[/tex]

[tex]\sf y_A-y_B=y_D-y_C[/tex]

[tex]\sf \implies 1-3=y_D-(-7)[/tex]

[tex]\sf \implies y_D=-9[/tex]

Therefore, D = (10, -9)

Answer:

Yes it is 25

Step-by-step explanation:

10 - 25 = -15

-15 + 25 = 10

Answer:

2.9

Step-by-step explanation:

subtract the distances:

4.1-1.2

2.9

Answer:

I'm sorry but there isn't really any question to be answered