In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student who plays a sport does not play an instrument?
Plays an instrument Does not play an instrument
Plays a sport 12 13
Does not play a sport 3 2

Answer:

12362.70

Step-by-step explanation:

Becuae you have to use the principal and all that sorry i can not rpovide and explaination sorry brainly patrol pls dont delete this

A triangle (Option B)

If you cut it perpendicular to its base and through its vertex, the cross-section would be shaped like an isosceles triangle. The base of the triangle will be the base of the cone. The cone would create a circle shape if the plane sliced it parallel to its base

Answer:

1) The smaller t is -6

The larger t is 7

2) The vertex of the parabola is (1/2, -42.25)

Step-by-step explanation:

Hey there!

To find the zeros of a function, you need to find two values that add up to "b" and multiply together to get "ac"

The b and ac come from the standard form of a parabola which this statement is given to us right now

t^2-t-42

1 is the "a" value, -1 is the "b" value, and -42 is the "c" value

What are two numbers that multiply together and get -42 and those same two numbers add up to -1

Those two numbers are -7 and 6

When you multiply those numbers together, you get -24

And when you add them together, you get -1

Now you can split the -t in the equation

The new equation after splitting the original equation will look like this

t^2-7t+6t-42

Now we group the equation into two parts

(t^2-7t) + (6t-42)

Since t is the common variable in the first set of parentheses, we can take it out

t(t-7)+(6t-42)

Now in the second pair of parentheses, 6 is the constant term

You can also take that out

t(t-7)+6(t-7)

Now we have our zero pairs

We take one of the parentheses and the terms that are outside of the parentheses

Now we have

(t+6)(t-7)=0

Now we can find our two zeros

The smaller t is -6

The larger t is 7

Now we have to find the vertex

The formula to solving the x-coordinate of the vertex is -b/2a

The "b: value is -1 and the "a" value is 1

So, the x-coordinate of the vertex is 1/2

Now we plug that into the equation

(1/2)^2 - 1/2 - 42

1/4 - 1/2 - 42

-1/4 - 42

-169/4 --> -42.25

So, the y-coordinate of the vertex s -42.25

This means,

The vertex of the parabola is (1/2, -42.25)

[tex]\stackrel{\textit{Pythagorean Identities}}{1+tan^2(\theta)=sec^2(\theta)}\implies tan^2(\theta ) = sec^2(\theta )-1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc^2(\theta )tan^2(\theta )-1~~ = ~~tan^2(\theta ) \\\\[-0.35em] ~\dotfill[/tex]

[tex]csc^2(\theta )tan^2(\theta )-1\implies \cfrac{1}{sin^2(\theta )}\cdot \cfrac{sin^2(\theta )}{cos^2(\theta )}-1\implies \cfrac{1}{cos^2(\theta )}-1 \\\\\\ \cfrac{1^2}{cos^2(\theta )}-1\implies \left[ \cfrac{1}{cos(\theta )}\right]^2-1\implies sec^2(\theta )-1\implies tan^2(\theta )[/tex]

Answer:

F.2:30 a.m.

8 revolutions= 8×90=720mn= 12h

So the sign starts from 2.30p.m.

Then the sign after 8 revolutions is 2.30 a.m.

Please give Brainliest

Answer:

1

Step-by-step explanation:

Given that, 1 to the power of 3

Generally, the rules for exponentiation states that if l is any real number and m is a positive integer, then lm can be shown as:

lm = l × l × … × l (m times)

Hence, 1 to the power of 3 can be written as 13, where the number 1 is called the base, and 3 is the power or exponent of the expression.

Therefore, 13 = 1 × 1 × 1 = 1

Hence, 1 to the power of 3 comes as 1.

Answer:

1

Step-by-step explanation:

No matter what power you raise one to it will still be 1

Answer:

SA = 105 in^2

Step-by-step explanation:

To find surface area, find the area of all the shapes and add it all together. This shape has 4 triangle faces. They are all the same. So we can find one of them and times by 4.

Area of a triangle:

A = 1/2b•h

= 1/2• 5 • 8

= 1/2 • 40

= 20

One triangle has area 20, so times by 4 (bc four triangles)

4•20

= 80

Area of square 5•5

= 25

Add the areas:

80 + 25

= 105 sq in

Answer:

Step-by-step explanation: C. pay off credit debt, emergency fund, retirement

Based on the amounts Julia paid and the percentage rates, the missing amounts are:

Julia's social security taxes were:

= 6.2% x 2,000

= $124.

Medicare amount:

= 1.45% x 2,000

= $29

Federal income tax:

= 260 / 2,000 x 100%

= 13%

State income tax:

= 120 / 2,000 x 100%

= 6%

Find out more on income taxes at https://brainly.com/question/26316390.

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Answer:

[tex]x=\pm 3i[/tex]

Step-by-step explanation:

[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]

Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).

Work Shown:

16 > i - 4

16+4 > i-4+4

20 > i

i < 20

In the second step, I added 4 to both sides to undo the -4

In the last step, I swapped both sides and I flipped the inequality sign.

If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.

Answer:

16>i-4

20>i

Step-by-step explanation:

All you have to do is reverse operation and add 4 to each side

Answer:

A) x=5

The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5

Step-by-step explanation:

Answer:

4 weeks

Step-by-step explanation:

Remaining money (per week) :

No. of weeks to buy shoes :

Answer:

hope it will help you

Step-by-step explanation:

hope it will help you

[tex]\\ \rm\Rrightarrow 7829y\times \dfrac{-69}{56x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{7829(69)y}{56x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{540201y}{56x}[/tex]

[tex]\\ \rm\Rrightarrow 9646.4y/x[/tex]

Answer:

B. po

Step-by-step explanation:

reflection a triangle over the yaxis.

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

weight of bag = 90 grams

According to Question ,

weight of the bag increases by 15%

therefore ,

the new weight of bag ,

[tex] \frac{\cancel{15}}{\cancel{10}\cancel0} \times 9\cancel0 \\ \\ \dashrightarrow \: \frac{3}{2} \times 9 \\ \\ \dashrightarrow \: \frac{27}{2} \\ \\ \dashrightarrow \: 13.5[/tex]

so ,

new weight = 90 + 13.5 kg

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎= 103.5 kg

hope helpful ~

Answer:

$1.50

Step-by-step explanation:

you only need to do $3.00/2 = $1.50

Answer:

$1.50

Step-by-step explanation:

3 divided by 2 = 1.5

Answer: Yes

Step-by-step explanation:

You could subtract the measure of the first angle from 90 degres to find the measure of the second angle.

Step-by-step explanation:

x = 4

y = -2

z = 3

= 6x + 4y - z

= 6.4 + 4.-2 - 3

= 24 - 8 - 3

= 13

The quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have:

The mirror and frame must have an area of 19.25 square feet. The mirror is 3 feet wide and 5 feet long.

Let's suppose the thickness of the frame is x:

Then, the area of the rectangle:

(2x+3)(2x+5) = 19.25

4x² + 10x + 6x + 15 = 19.25

4x² +16x - 4.25 = 0

Thus, the quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

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Answer: 15.9

Step-by-step explanation:

The choice that could represent the surface area of a pyramid is  75.6 feet squared

The surface area of an object is the total sum of the area of its net. The surface area of any object is expressed in square units.

For instance, a pyramid with 4 triangles and a base area with al the units in feet can be expressed as:

TSA = area of 4 triangles + area of the base

Hence the choice that could represent the surface area of a pyramid is  75.6 feet squared

Learn more on surface area here: https://brainly.com/question/16519513

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Answer:

C/3

Step-by-step explanation:

Answer:

3418.02 cm²

Step-by-step explanation:

Volume :

Volume (cone) - Volume (hemisphere)

1/3πr²h - 2/3πr³

1/3 x π × 64 x (√20² - 8²) - 2/3 x π x (4)³

64π/3 (√336 - 2 x 2/3)

64π (18.33 - 1.33)

64π × 17

201.06 x 17

3418.02 cm²

Answer:

400m/s

Step-by-step explanation:

72×1000÷3600

=20

20×20

=400m/s

Answer:

Step-by-step explanation:

since this answer wants an approximation,  we can round the  cost up

Ham- 6                                 1/2 of 6 = 3

Turkey- 5                             1 pound of turkey= 5

Roast Beef- 7                       1/4 of 7= 1.75

Salami- 3                              2 x 3= 6   1/2 of 3= 1.5 = 7.5

bologna- 4                            No bologna was purchased.

3+5+1.75+ 7.5= 17.25 which is approximately 17.  

The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0

An equation is an expression that shows the relationship between two or more numbers and variables.

The function f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1, hence:

f(-5) = -(-5)³ - 7(-5)² - 7(-5) + 15 = 0

f(-3) = -(-3)³ - 7(-3)² - 7(-3) + 15 = 0

f(1) = -(1)³ - 7(1)² - 7(1) + 15 = 0

The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0

Find out more on equation at: https://brainly.com/question/2972832

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Answer:

See below

Step-by-step explanation:

Use the roots given to make this :

(x+3) (x-1/2)  = 0

   you can do the multiplication (if required) to get

x^2 + 2.5x - 1.5 = 0      now you can multiply by 2 to get rid of the decimals

2x^2 + 5x - 3 = 0

   All three are correct......pick the format you want ....