The box plots show the math scores of students in two different classes:



Based on the box plots, which statement is correct? (4 points)
The median score of Class A is greater than the median score of Class B.
The lower quartile of Class A is greater than the lower quartile of Class B.
The upper quartile of Class A is greater than the upper quartile of Class B.
The maximum score of Class A is greater than the maximum score of Class B.

Answer:

Given that:

[tex]\longmapsto{ \large{ \rm{y = \sin \:x \degree}}}[/tex]

We know that,

[tex] \dashrightarrow{ \boxed{ \red{ \rm{1 \degree = \left ( \frac{\pi}{100} \right)^{c} }}}}[/tex]

So, using this, above given can be written as,

[tex]{ \large{ \longrightarrow{ \rm{y = \sin \left( \frac{\pi x}{180} \right) }}}}[/tex]

On differentiating both sides w.r.t. x, we get:

[tex]{ \large { \longrightarrow{ \rm{ \frac{d}{dx}y = \frac{d}{dx} \sin \left( \frac{\pi x}{180} \right) }}}}[/tex]

We know that,

[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx} \sin x = \cos x }}}}}[/tex]

So, using the result, we get:

[tex]{ \large{ \longrightarrow{ \rm{ \frac{d}{dx} = \cos \left( \frac{\pi \: x}{180} \: \right) \frac{d}{dx} \left( \frac{\pi \: x}{180} \right) }}}}[/tex]

We know that,

[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx}k \: f(x) = k \frac{d}{dx} \: f(x)}}}}}[/tex]

So, using this, we get:

[tex]{ \large{ \longrightarrow{ \rm{ \frac{dy}{dx} = \cos \left( \frac{\pi \: x}{180} \right) \: \times \: \left( \frac{\pi}{180} \right) \frac{d}{dx} x}}}}[/tex]

We know that,

[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx} x= 1 }}}}}[/tex]

So, using this, we get:

[tex]{ \large{ \longrightarrow{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \: \cos \left( \frac{\pi \: x}{180} \right ) \times 1}}}}[/tex]

Hence:

[tex]{ \large{ \leadsto{ \green{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \cos \left( \frac{\pi \: x}{180} \right) }}}}}[/tex]

[tex]{ \large{ \leadsto{ \green{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \cos \: x \degree }}}}}[/tex]

[tex] \: \: [/tex]

Learn More:

[tex] \boxed{\begin{array}{c|c}\bf f(x)&\bf\dfrac{d}{dx}f(x)\\ \\ \frac{\qquad\qquad}{}&\frac{\qquad\qquad}{}\\ \sf k&\sf0\\ \\ \sf sin(x)&\sf cos(x)\\ \\ \sf cos(x)&\sf-sin(x)\\ \\ \sf tan(x)&\sf{sec}^{2}(x)\\ \\ \sf cot(x)&\sf-{cosec}^{2}(x)\\ \\ \sf sec(x)&\sf sec(x)tan(x)\\ \\ \sf cosec(x)&\sf-cosec(x)cot(x)\\ \\ \sf\sqrt{x}&\sf\dfrac{1}{2\sqrt{x}}\\ \\ \sf log(x)&\sf\dfrac{1}{x}\\ \\ \sf{e}^{x}&\sf{e}^{x}\end{array}}[/tex]

[tex]{\pmb{\bf{Refer \: to \: the \: attachment \: :D}}}[/tex]

Answer:

their velocities are identical

Step-by-step explanation:

T1 = 6.0 h and T2 = 12 hours

V1 = d/6 and V2 = 2d/12

so V1 = V2 = d/6

The ratio of velocities of bird 1 and bird 2 is 1, as per linear equation.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line. "

Let, the distance covered by the bird 1 is x km.

Then, the distance covered by the bird 2 is 2x km.

Given, the time taken by bird 1 to reach the destination is 6 hours.

The time taken by bird 2 to reach the destination is 12 hours.

Therefore, velocity of the bird 1 is = [tex]\frac{x}{6}[/tex] km/hour.

Velocity of the bird 2 is = [tex]\frac{2x}{12}[/tex] km/hour =  [tex]\frac{x}{6}[/tex] km/hour.

Therefore, the ratio of velocities of bird 1 and bird 2 is

=  [tex]\frac{x}{6}[/tex] /  [tex]\frac{x}{6}[/tex]

= 1

Learn more about linear equation here: https://brainly.com/question/18125827

#SPJ2

Answer:

Is letter B the correct one.

Step-by-step explanation:

If you take that 12 and then multiply it x1, x2, x3, x4, x5, x6, x7 and x8 you will get the numbers in the Chart.

Answer:

(-6,9)

Step-by-step explanation:

x + y = 3

0 + y = 9

We can subtract the two equations.

(x-0) + (y-y) = (3-9)

x=-6

y=9

(-6,9)

Answer:

c. anytime

Step-by-step explanation:

if it is stated that a = b, then a always equals b

Answer:

75%

Step-by-step explanation:

0.2 iis the answer you are loooking for when you say pal is not formed

Answer:

Total tickets = 70

Total cost = $550

Adult's ticket = $9

Child's ticket = $5

Difference = 9 - 5 = $4

Assume all 70 are child's tickets

5 x 70 = 350

But the total cost was 550

550 - 350 = $200

The $200 must have come from Adult's tickets, which has a difference of $4.

200 ÷ 4 = 50

So there are 50 adult's tickets.

70 - 50 = 20

And there are 20 child's tickets.

Hope this helps - Itz.Jordan

Answer: A

Step-by-step explanation:

That should be the answer

Answer:

Sum of two angles is 90°: Sum of two angles is 180°

Complementary Angles: Supplementary Angles

Step-by-step explanation:

The supplementary angle theorem states that if two angles are supplementary to the same angle, then the two angles are said to be congruent.

Answer:

[tex]\frac{34}{12}[/tex] , [tex]\frac{51}{18}[/tex] , [tex]\frac{68}{24}[/tex] , [tex]\frac{85}{30}[/tex]

some equivalent fraction examples of [tex]\frac{17}{6}[/tex]:

Therefore the equivalent fractions are [tex]\frac{34}{12}[/tex] , [tex]\frac{51}{18}[/tex] , [tex]\frac{68}{24}[/tex] , [tex]\frac{85}{30}[/tex]

Step-by-step explanation:

we can idnetify that it is arithmetic due to it being a linear sequnce. Therefore we find Tn and equate it to the last term to find the number of terms. We then use that to find the sum of the series using the following formula where n is the number of terms, a is the first term and L represents your last term.

Answer:

>

Step-by-step explanation:

8-4x>-4

4x>8+4

4x>12

x>3

Answer:

4 : 7

Step-by-step explanation:

family : car = 2400 : 4200

Simplify by dividing both by 100 ⇒ 24 : 42

Simplify again by dividing both by 6 ⇒ 4 : 7

Cannot be further simplified as 7 is a prime number

Step-by-step explanation:

2(x-9) = 9 (- 1/3)

2x-18=-3

2x=18-3

x=15/2

x=7.5

The value of  x that makes the equation true is mathematically given as

x=7.5

Question Parameters:

2(x-9) = 9 / (- 1/3)

The question obviously demands that we make x subject of the formula and then take necessary steps to find x

Generally, the equation is mathematically given as

2(x-9) = 9 / (- 1/3)

Therefore

x=15/2

x=7.5

In conclusion, the value of  x is

x=7.5

Read more about Arithmetic

https://brainly.com/question/22568180

Answer: 132 degrees

Step-by-step explanation:

Answer:

y = 6 sin(2x+π/2) +4

Step-by-step explanation:

Given:

-sinusoidal function

-maximum point at (0,10)

-intersects its midline at (π/4,4)

Build the function:

y = sin x , we start with this because is a sinusoidal function

y = sin (x+ π/2), to move the maximum on the y-axis where x= 0

y = sin (2x +π/2), to move the midline from π/2 to a π/4 we need

y = 4+ sin(2x+π/2) , to move the midline from (π/4, 0) to  a (π/4, 4)

y = 4+ 6 sin(2x+π/2), to move the max at (0,10), -because the midline is at 4 and the function max at 10 we need 10-4 = 6

Answer:

Step-by-step explanation:

[tex]\frac{1}{9}[/tex] ÷ 8

= [tex]\frac{1}{9}[/tex] * [tex]\frac{1}{8}[/tex]

= [tex]\frac{1}{9*8}[/tex]

= [tex]\frac{1}{72}[/tex]

Now

[tex]\\ \rm\rightarrowtail 1/9\div (8)[/tex]

[tex]\\ \rm\rightarrowtail 1/9(1/8)[/tex]

[tex]\\ \rm\rightarrowtail 1/72[/tex]

Done

Answer:

Mark will save $20 in 17 weeks, but there is no equation for Jen.

Step-by-step explanation:

y = x + 3

1) replace y with $20

20 = x + 3

2) subtract 3 from both sides

17 = x

Answer:
The fox is faster, by 7 miles per hour

Step-by-step explanation:

The fox can run 21 miles in half an hour -> It can run 42 miles in an hour

And the rabbit can run 35 miles per hour, so the fox run fastest by 42-35 = 7(m/h)

Answer:

the fox can run faster by 17 mph!

Step by step explanation:

This problem involves ratios

Our two ratios involve the distance the animals ran (the 35 & 21) and the time it took for them to run that distance (the 1 & 0.5)

So our two ratios are 1:35 (it took the rabbit 1 hour to run 35 miles) and 0.5:21 (it took the fox half an hour to run 21 miles)

But before we start subtracting, we have to take into account the fact that the time periods are not the same!

To start subtracting, we need to 0.5 and 1 to be the same or vice versa, the 1 to be a 0.5

In this case, let’s make the 0.5:21 bigger because it’s often easier to multiply than divide

When we multiply 0.5 by 2, it gets us to 1 so we have to do the same to the 21.

21x2=42

So our new ratio is 1:42

Now we can directly compare the two ratios.

42-35=17

So the fox ran faster by 17 miles

PLEASE AWARD BRAINLIEST I NEED TO LEVEL UP!

Answer: (3,-2)

Step-by-step explanation:

your welcome

Answer: 25

Step-by-step explanation:

Using the t-distribution, as we have the standard deviation for the sample, we have that the test statistic is given by:

[tex]t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}[/tex]

At the null hypothesis, it is tested if there is no difference, that is:

[tex]H_0: \mu = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, that is:

[tex]H_1: \mu \neq 0[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, [tex]\mu = 0[/tex] is tested at the null hypothesis, and the sample is: 20, -40, -40, 0, 20, - 60, -40, hence:

[tex]\overline{x} = -20, s = \sqrt{32.66}, n = 7[/tex].

Hence, the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{-20 - 0}{\frac{\sqrt{32.66}}{\sqrt{7}}}[/tex]

[tex]t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}[/tex]

More can be learned about the t-distribution at https://brainly.com/question/16313918

Answer:

s = 3

Step-by-step explanation:

s+3 = 2(s)

s+3 = 2s

s = 3.

This question is an example of mid-segment theorem. You take the segment given and you multiply the small segment by 2 and make the small segment equal to the larger segment.

Answer:

C

since volume of rectangular prism is given by V=wlh

the volume of the small cubic blocks is (1/5)^3= 1/125

hence we need 4 of the small cubic blocks.

Rewrite the percent as a decimal by moving the decimal 2 places to the left:

150% = 1.50

multiply her original pay by the decimal:

9 x 1.50 = $13.50

Answer: $13.50

Answer:

Rewrite the percent as a decimal by moving the decimal 2 places to the left:

150% = 1.50

multiply her original pay by the decimal:

9 x 1.50 = $13.50

Answer: $13.50

Step-by-step explanation: