The following two-way table describes student's
after school activities. Find the probability that a
randomly selected student is in sports.
Grade
Sports
Music/Drama
Work
Sophomore
20
7
3
Junior
20
13
2
Senior
25
5
5
P(Sports) = [?]
Round to the nearest hundredth.

Answer: This is basic trig man, So I can help you here. First thing you need is a calculator that can do sin cos and tan, ti-84 would work best. You need to use the sin cos and tan formulas to find the edge lengths of the side. heres a helppful tip to remeber the proper way to use the formulas. SOH-CAH-TOA or sin(angle measure)= Opposite side to that angle measure divided by the hypotenuse cos(angle measure)= adjacent side (the side next to the angle) divided by the hypotenuse. and TOA or Tan(angle measure)=Opposite divided by adjacent.

Step-by-step explanation: This is a mix of Special right triangles and trig. You now know how to do the trig, look up special right triangles 60 30 90 and 90 45 45, it should show you how to do the rest of the math, since I don't recall the formulas for this off the top of my head. I am not just giving you the answers for two reasons, 1 it would take tooo long and I am already doing a quiz, which I have five minutes left to complete, and B If you cant do this for yourself you will fail the final for your course.

Step-by-step explanation:

xylophone : x

yo-yo : y

3x + 3y = 45 —(1)

5x + 6y = 80 —(2)

(1)*2 : 6x + 6y = 90 —(3)

(3)-(2):

6x + 6y = 90

-(5x + 6y) = 80

x =10 — (4)

Sub (4) into (1)

3(10) + 3y = 45

30 + 3y = 45

3y = 45-30

y = 15/3

y = 5

Answer: 6(x) or 6 x 2(x)

Step-by-step explanation:

The product of 6 and a number x is equal to 6x.

Answer:

Step-by-step explanation:

Step-by-step explanation:

l=1

b=3

h=3

l×b×h

9 is the vol

Answer:

7.33

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

a + 4(b - 3)

Substitute the values for a and b.

10 + 4(12 - 3)

Subtract inside the parenthesis.

10 + 4(9)

Multiply.

10 + 36

Add.

46

Answer:

-3/2 is the slope

0 is the y-intercept

Step-by-step explanation:

Start at the dot to the very left since that's where it starts. Rise/Run so first start by going down to where the line meets a place where a dot can be placed. If you go down 3 and run over 2. You get to another dot that can be placed. (Place dots where the line meets a dot in the grid if that makes sense). Also if you go down another 3 and run another 2, you get to your next coordinate. The y=intercept is just basically where the line meets the y-axis so in this case, it's 0.

Hope this helps and sorry if that didn't make that much sense, Im bad at explaining things.

Answer:

216*b^2

Step-by-step explanation:

first, remember that:

a*√b = √(a^2*b)

√a*√b = √(a*b)

[tex]b^n*b^m = b^{n + m}[/tex]

[tex](b^n)^m = b^{n*m}[/tex]

Now, our expression is:

[tex]2*\sqrt{8*b^3} *9*\sqrt{18*b} = (2*9)*\sqrt{8*b^3}*\sqrt{18*b}[/tex]

Where in the right I rewrite the expression so it is easier to work.

Now we can use the second property of the above ones, to have:

[tex]18*\sqrt{8*b^3*18*b} = 18*\sqrt{(8*18)*b^{3 + 1}} = 18*\sqrt{144*b^4}[/tex]

And we know that:

[tex]\sqrt{x} = x^{1/2}[/tex]

Then:

[tex]18*\sqrt{144*b^4} = 18*(144*b^4)^{1/2} = 18*\sqrt{144}*(b^4)^{1/2}[/tex]

and 12*12 = 144, then:

[tex]18*\sqrt{144}*b^{4*1/2} = 18*12*b^2 = 216*b^2[/tex]

Answer:

Yes, the data provides sufficient evidence at 0.05 level of significance

Step-by-step explanation:

n = 25

s = 8

σ = 15

χ² = (n - 1)s² / σ²

χ² = (25 - 1)*8² / 15²

χ² = (24 * 64) / 225

χ² = 6.827

The critical value at 0.05 ; df = 25 - 1 = 24

12.4012 and 39.3641

Reject H0 if χ² < 12.4012 or if χ² > 39.3641

Since,

χ² < 12.4012 ; We reject H0 ;

Answer:

Solution given:

[tex] \frac{1 + \sin( \alpha ) }{1 - \sin( \alpha ) } - \frac{1 - \sin( \alpha ) }{1 + \sin( \alpha ) } [/tex]

[tex] \frac{(1 + \sin( \alpha )) {}^{2} - (1 - \sin( \alpha ) {}^{2} }{1 - \sin{}^{2} \alpha }[/tex]

[tex] \frac{1 + 2 \sin( \alpha ) + \sin {}^{2} ( \alpha ) - 1 + 2 \sin( \alpha ) - \sin {}^{2} ( \alpha ) }{ { \cos }^{2} \alpha } [/tex]

[tex] \frac{4 \sin( \alpha ) }{ \cos {}^{2}( \alpha ) } [/tex]

[tex]4 \tan( \alpha ) \sec( \alpha ) [/tex]

is your answer.

Answer: 8 Pounds because it doesn't have to be an estimate due to it being the actual number.

Step-by-step explanation: because it doesn't have to be an estimate due to it being the actual number.

Answer:

$0.22 per foot

Step-by-step explanation:

So for context, 1 yard is 3 feet. So 2 yards is 6 feet. With this, by dividing $1.32 by 6, you can get the price per foot:

1.32 / 6 ---> $0.22 per foot.

Answer:

$525

Step-by-step explanation:

using the formula given to find the amount after 1 year

i=500*.05*1

i=25

25+500=525

Answer:

Median

Step-by-step explanation:

It is symmetric so you have a much easier way to find the middle numbers.

Answer:

4/p

Step-by-step explanation:

4/p=4overp

Answer:

NO

NO SOLUTION

Step-by-step explanation:

2t + 2e = 11  eqn 1

t + e = 6.5 eqn 2

this can be solved using simultaneous  equation

Multiply eqn 2  by 2

2t + 2e = 13

subtract eqn 1 from2

0 + 0 = 2

there is no solution

Answer:

$6.00

Step-by-step explanation:

8/200=4% sales tax

150X .04=$6.00

Answer:

{-8, 3/4}

Step-by-step explanation:

One by one, set the factors equal to zero and solve for v:

8 + v = 0 yields v = -8, and

4v - 3 = 0 yields 4v = 3 and v = 3/4

Answer:

2 days

Step-by-step explanation:

the graph?????

Answer:

-300

Step-by-step explanation:

Answer:

6(3x+1)

To check

6×3x=18x

6×1=+6

Answer:

1st, 2nd, 5th

Step-by-step explanation:

Please give me BRAINLIEST and THANKS lol

Answer:

Maybe how many people are in the park

For given situation, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.

"It is an expression that defines a relationship between one variable and another variable."

For given example,

the rate at which people enter amusement park is modeled by the function

[tex]e(x) = 0.03x^3 + 2[/tex]

where the rate is measured in hundreds of people per hour since the gates opened.

The rate at which people leave the amusement park is modeled by the function

[tex]l(x) = 0.5x + 1[/tex]

where the rate is measured in hundreds of people per hour since the gates opened.

First we find the subtraction of functions [tex](e-l)(x)[/tex].

[tex]\Rightarrow (e-l)(x)=e(x)-l(x)\\\\\Rightarrow (e-l)(x)=0.03x^3 + 2-(0.5x + 1)\\\\\Rightarrow (e-l)(x)=0.03x^3+2-0.5x-1\\\\\Rightarrow (e-l)(x)=0.03x^3-0.5x+1[/tex]

For x = 4,

[tex]\Rightarrow (e-l)(4)=0.03(4)^3-0.5(4)+1\\\\\Rightarrow \bold{(e-l)(4)=0.92}[/tex]

As, the rate is measured in hundreds of people per hour

So, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.

Lean more about function here:

https://brainly.com/question/13461298

#SPJ2

Answer:

44u-36

Step-by-step explanation:

Apply the distributive property.

−6(−7u)−6⋅6+2u

Multiply −7 by −6.

42u−6⋅6+2u

Multiply −6 by 6.

42u−36+2u

Add 42u and 2u.

44u-36

Answer:

16 dolls and 12 trucks

Step-by-step explanation:

simple math

Answer:

82%

Step-by-step explanation:

Answer:

n = 17

[tex]\frac{n}{85}= \frac{34}{170}[/tex]

Step-by-step explanation:

[tex]\frac{n}{85}= \frac{34}{170}[/tex]

n · 170 = 34 · 85

170y = 2890

170y ÷ 170 = 2890 ÷ 170

y = 17

Answer:

A is the answer

Step-by-step explanation: