Katie played 5 consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, she played another 7 consecutive games. What is the percent of increase in the number of consecutive games she played?

Given:

A random survey of 30 students found that 17 played a musical instrument.

Total number of students = 450

To find:

Estimated number of students who do not play an instruments.

Solution:

A random survey of 30 students found that 17 played a musical instrument.

Let E be the event that student play an instrument.

So, probability that a student plays an instrument is

[tex]P(E)=\dfrac{17}{30}[/tex]

Probability that a student do not play an instrument is

[tex]P(E')=1-P(E)[/tex]

[tex]=1-\dfrac{17}{30}[/tex]

[tex]=\dfrac{13}{30}[/tex]

Now, number of students who do not play an instruments is

[tex]450\times P(E')=450\times \dfrac{13}{30}[/tex]

[tex]450\times P(E')=195[/tex]

Therefore, 195 students do not play an instrument.

Step-by-step explanation:

A set-builder notation describes or defines the elements of a set instead of listing the elements. For example, the set { 1, 2, 3, 4, 5, 6, 7, 8, 9 } list the elements. The same set could be described as { x/x is a counting number less than 10 } in set-builder notation.

Answer:

24 degrees

Step-by-step explanation:

If you use 0 as kind of a benchmark it is really useful, frist you subtract 7, because it is our positive number., then you subtract 17 from 0, making -17.

7+17=24

Answer:

My example: 7(2 + 7) = 7(2) + 7(7)

Formula: x(y + x) = x*y + x*x

Step-by-step explanation:

The distributive property can be represented by the following equation:

x(y + x) = x*y + x*x

Since you are looking for any example, let's plug in a few numbers to the above equation.

Ex) x = 7, y = 2

The example equation with these values is 7(2 + 7)

Solving With Distributive Property:

x(y + x)

Substitute

7(2 + 7)

Simplify using distributive property

7(2) + 7(7)

14 + 49 = 63

Solving using PEMDAS and solving inside the parenthesis first

7(2 + 7)

7(9)

63

The above is an example of solving/siplifying equations with and without the Distributive Property.

Since these numbers are the same, we can conclude that the formula for the distributive property above is correct.

Again, you are looking for an example, so simply pick a value for x and y and substute into this equation: x(y + x) = x*y + x*x

I used 7 and 2 above, but any numbers will work as you are distributing the value outside the parenthesis.

Hope this helps! Let me know if you have any questions.

PEMDAS simpliy means that the solving of equations can be solved by going in the following order:

- Parenthesis (P)

- Exponents (E)

- Multiplication and Division left to right of the expression/equation (M/D)

- Addition and Subtraction (A/S)

This is just a helpful little refrence when applying the order of operations.

Answer:

x=17

Step-by-step explanation:

8x+20=11x-31

We simplify the equation to the form, which is simple to understand  

8x+20=11x-31

We move all terms containing x to the left and all other terms to the right.  

+8x-11x=-31-20

We simplify left and right side of the equation.  

-3x=-51

We divide both sides of the equation by -3 to get x.  

x=17

Answer:

17

Step-by-step explanation:

8x + 20 = 11x - 31

-8. -8

20 = 3× - 31

+31. +31

51 = 3x

/3. /3

x = 17

Answer:

37 R0

Step-by-step explanation:

740/20=37, so there is no remainder.

I hope this helps you! Have a great day c:

Dividing 20 by 740 gives us remainder 20 and quotient 0.

To find the result of 20 divided by 740 with a remainder,

Perform the division and take note of the quotient and remainder.

20 ÷ 740 = 0 with a remainder of 20.

Division is a mathematical operation that involves splitting a number (the dividend) into equal parts,

with a divisor indicating how many parts we want to split it into.

The quotient is the number of equal parts, and the remainder is what's left after have split the dividend into as many equal parts as possible.

20 divided by 740, we are trying to find out how many times 740 can fit into 20.

Since 740 is much larger than 20, it cannot fit even once.

So, the quotient is 0, indicating that 0 whole units of 740 can fit into 20.

However, there is a remainder of 20.

The remainder represents the portion of 20 that cannot be evenly divided by 740.

It is what remains after we have divided the dividend by the divisor as many times as possible.

Therefore, 20 divided by 740 is 0 with a remainder of 20.

learn more about remainder here

brainly.com/question/29019179

#SPJ2

Answer:

[tex]x=\frac{13}{5}[/tex]

Step-by-step explanation:

In order to get the answer to this question you need to subtract and divide on both sides.

[tex]5x + 15 = 28[/tex]

Minus 15 on both sides:

[tex]28-15=13[/tex]

[tex]5x=13[/tex]

Divide 5 on both sides:

[tex]13\div5=\frac{13}{5}[/tex]

[tex]x=\frac{13}{5}[/tex]

Hope this helps.

Answer:

a square with 1.5 cm width and height

Answer:

2.25

Step-by-step explanation:

1.5 * 1.5 = 2.25.

Answer:y = -0.6x + 5

Step-by-step explanation:

Answer:

yessir the one on top is right btw

Step-by-step explanation:

hope this helped

Answer:

50%

Step-by-step explanation:

Half of 3,000 is 1,500 so she would be paying half, or 50%

Answer:

No solution

Step-by-step explanation:

Because when you add 5 on both sides to take away the negative 5 it does not show a true statement. Since:

7x does not equal 7x + 10

The solution of the trigonometric equation  are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

Given equation are,

           [tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx[/tex]

We know that,  [tex]cos(A-B)=cosA cosB+sinAsinB[/tex]

         [tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\\\\cos\frac{\pi}{4} *cosx+sin\frac{\pi}{4} *sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx+\frac{\sqrt{2} }{2}sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx=0\\\\cosx=0\\\\x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

Hence, The solution of the trigonometric equation  are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

Learn more about the trigonometric equation here :

https://brainly.com/question/14421002

Answer:

$8.46

Step-by-step explanation:

15%=0.15

56.40(0.15)

8.46

Answer:

Step-by-step explanation:

We know that, two lines with same slope are parallel.

Thus two lines with same positive slopes are parallel.

⇒Two lines with positive slopes are sometimes parallel.

Two lines with same slope can never be perpendicular to each

other as they must be parallel.

Answer:

First figure out how many cups are in a gallon. 16 .

Next multiply 16×3= 48

Finally you divide price per cup or 20.16/ 48.

The cost is .42 cents per cup.

Answer:

3.3 mph

4.84 ft/s

Step-by-step explanation:

Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.

Answer:

18

Step-by-step explanation:

Two fifths like working with fractions.

2/5x45/1=90/5

Hope I helped!

Answer:

0.77777777......

Step-by-step explanation:

You divide them. Hope I helped!

Please mark Brainliest!!!!

Answer:

[tex]x\neq 0[/tex]

Step-by-step explanation: the domain[tex]0[/tex]⇒[tex]x{}[/tex]∈[tex]R[/tex]-{0}

Answer:

Vertical Angles...............

Answer:

Step-by-step explanation:

Since BD = DC, the triangle BDC is isosceles, so

Having m∠BDC = 100°, we can find m∠C

Finding angle B

Finding angle A

Answer:

m<A=60 degrees, m<B=80 degrees, m<C=60 degrees.

Step-by-step explanation:

heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

20......................

I'm pretty sure it's this:

Answer:

y=a( 1+  r/n)^ nt

growth is a= 2500     yearly is n= 1

y= 2500( 1+ .065/1)^ 1.7  =   $3884.97

Answer:

B.

g= 10

Step-by-step explanation:

Answer:

If the garage is robbed, the probability the doors ware left open is 0.625.

Step-by-step explanation:

Denote the events as follows:

X = garage doors open

Y = something is stolen

The information provided is:

P (X) = 0.25

P (Y|X) = 0.05

P (Y|X') = 0.01

Compute probability that the garage is robbed as follows:

[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]

Compute the probability the doors ware left open given that the garage is robbed as follows:

[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]

Thus, if the garage is robbed, the probability the doors ware left open is 0.625.

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Answer:

[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]

Step-by-step explanation:

We are letting d represent the number of drinks and p represent the number of pizza slices.

We know that each drink d costs $2. We also know that each pizza slice p costs $4. They spent a total of $28. Therefore:

[tex]2d+4p=28[/tex]

We also know that 9 items was purchased all together. So, the total number of drinks d and pizza slices p sum to 9:

[tex]d+p=9[/tex]

Therefore, our system of equations is: