PLEASE HELP
How many different outcomes are possible when 10 people race, assuming no one can tie?

Answers

Answer 1
There are 10 possible outcomes because 1 can win if there are no ties.
Answer 2

The number of the outcomes will be 10 if there is not any tie.

What is the combination?

The arrangement of the different things or numbers in a number of ways is called the combination.

Here we need to find the outcomes of the winning of 10 people the combination will be:-

[tex]^{10} C _1=\dfrac{10!}{(10-1)!}=\dfrac{10!}{9!}\\\\\\^{10} C _1 = 10[/tex]

Hence the number of the outcomes will be 10 if there is not any tie.

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Related Questions

A general formula for a parabola is y2=4px.

What is the value of p in the equation y2=−4x?



P=−4
P=−1
P=1
P=4

Answers

Answer:

P = -1

Step-by-step explanation:

-1 x 4 = -4

The solution is : p= -1, is the value of p in the equation y^2=−4x.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

Explanation:

We have been given parabola along positive side of x-axis with equation

y² = 4px

and, y² = -4x

after equating the values of  y² we will get

4px =-4x

Divide each term by x on both left hand side and right hand side  we will get

4p= -4

Now, divide each term by 4 on both left hand side and right hand side we will get the final result p=-1

Hence, The solution is : p= -1, is the value of p in the equation y^2=−4x.

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Does this graph represent a function? Why or why not?

Answers

Answer:

B yes, because it pases the vertical line test

Given 15=3(2x+4)−3

Prove x=1

Complete the proof. Provide reasons for 1-6 below. Make sure to number your answers.

Answers

so we start by replacing x with 1 so 15=3(2•1+4)-3
we start with the inside of the para thesis so multiply 2•1 which gives us 2 and we add 4 which gives us 6
now we have 15=3(6)-3
we multiply the 3 and 6 and we get 18
Now we have 15=18-3 so we subtract 18-3 and we get 15
15=15 is the product

The value of x in the expression 15 = 3(2x + 4) - 3 is 1.

What is expression?

A number, a variable, or a combination of numbers and variables and operation symbols is called expression.

According to the given question.

We have an expression

[tex]15 = 3(2x+ 4) -3[/tex]

Solve the above expression for x.

Step 1: open the parentheses

[tex]15 = 3(2x + 4) -3[/tex]

⇒ [tex]15 = 6x + 12 -3[/tex]

Step 2: simplify the above expression.

[tex]15 = 6x + 9[/tex]

Step 3: subtract 9 to the both the sides

[tex]15 - 9 = 6x + 9 -9[/tex]

⇒[tex]6 = 6x[/tex]

Step 4: Divide both the sides by 4

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

⇒ [tex]x = 1[/tex]

Hence, we proved that x = 1 for the above expression.

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Which segments have equal
lengths?

Answers

The segment that has equal length are known as congruent segment

Answer: corresponding segments

Step-by-step explanation:

(HELP FAST TIMED)Which polynomial is prime x^3+3x^3+2x+6

Answers

Answer:

the third one

Step-by-step explanation:

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree.

the third one is the answer

Yashoda and Ingrid shared a sum of money in the ratio 3:2, respectively. Ingrid
received $1200. What was Yashoda's share?

Answers

Answer:

Yashoda got 1800

Step-by-step explanation:

Yashoda : Ingrid

3             :   2

Ingrid got 1200

Divide this by 2

1200/2 = 600

Multiply each side by 600

Yashoda : Ingrid

3*600      :   2*600

1800       : 1200

Yashoda got 1800

[tex](x^{2} +x-3): (x^{2} -4)\geq 1[/tex]

Answers

Answer:

[tex]x>2[/tex]

Step-by-step explanation:

When given the following inequality;

[tex](x^2+x-3):(x^2-4)\geq1[/tex]

Rewrite in a fractional form so that it is easier to work with. Remember, a ratio is another way of expressing a fraction where the first term is the numerator (value over the fraction) and the second is the denominator(value under the fraction);

[tex]\frac{x^2+x-3}{x^2-4}\geq1[/tex]

Now bring all of the terms to one side so that the other side is just a zero, use the idea of inverse operations to achieve this:

[tex]\frac{x^2+x-3}{x^2-4}-1\geq0[/tex]

Convert the (1) to have the like denominator as the other term on the left side. Keep in mind, any term over itself is equal to (1);

[tex]\frac{x^2+x-3}{x^2-4}-\frac{x^2-4}{x^2-4}\geq0[/tex]

Perform the operation on the other side distribute the negative sign and combine like terms;

[tex]\frac{(x^2+x-3)-(x^2-4)}{x^2-4}\geq0\\\\\frac{x^2+x-3-x^2+4}{x^2-4}\geq0\\\\\frac{x+1}{x^2-4}\geq0[/tex]

Factor the equation so that one can find the intervales where the inequality is true;

[tex]\frac{x+1}{(x-2)(x+2)}\geq0[/tex]

Solve to find the intervales when the equation is true. These intervales are the spaces between the zeros. The zeros of the inequality can be found using the zero product property (which states that any number times zero equals zero), these zeros are as follows;

[tex]-1, 2, -2[/tex]

Therefore the intervales are the following, remember, the denominator cannot be zero, therefore some zeros are not included in the domain

[tex]x\leq-2\\-2<x\leq-1\\-1\leq x<2\\x>2[/tex]

Substitute a value in these intervales to find out if the inequality is positive or negative, if it is positive then the interval is a solution, if it is negative then it is not a solution. This is because the inequality is greater than or equal to zero;

[tex]x\leq-2[/tex]   -> negative

[tex]-2<x\leq-1[/tex]   -> neagtive

[tex]-1\leq x <2[/tex]   -> neagtive

[tex]x>2[/tex]   -> positive

Therefore, the solution to the inequality is the following;

[tex]x>2[/tex]

Suppose the true proportion of high school juniors who skateboard is 0.18. If many random samples of 250 high school juniors are taken, by how much would their sample proportions typically vary from the true proportion?


0

0.0006

0.024

0.148

6.07

Answers

Answer:

0.024

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose the true proportion of high school juniors who skateboard is 0.18.

This means that [tex]p = 0.18[/tex]

Samples of 250 high school juniors are taken

This means that [tex]n = 250[/tex]

By how much would their sample proportions typically vary from the true proportion?

This is the standard error, so:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]s = \sqrt{\frac{0.18*0.82}{250}}[/tex]

[tex]s = 0.024[/tex]

So 0.024 is the answer.

Which statement is necessarily true if is an altitude to the hypotenuse of right ? A. ≅ B. C. D. ∠BAC ≅ ∠BDC

Answers

Send a picture, I don’t know how to help without a visual cause there are similar problems

Answer:

Step-by-step explanation:

The graph below shows the solution to which system of inequalities?

Answers

Answer:

A

Step-by-step explanation:

Two large parallel metal plates carry opposite charges. They are separated by 85mm. The work done by the field is 6x10-3J and its field exerts on a particle with charge +8µC. Calculate the surface charge density on each plate.

Answers

Answer:

The surface charge density is [tex]7.8\times10^{-8} C/m^2[/tex].

Step-by-step explanation:

separation, d = 85 mm

Work, W = 6 x 10^-3 J

charge , Q = 8µC

The potential difference is given by

W = q V

[tex]V=\frac{6\times 10^{-3}}{8\times 10^{-6}}=750 V[/tex]

Let the charge on he capacitor is q.

[tex]q = CV\\\\q = \frac{\varepsilon oA}{d}\times V\\\\\frac{q}{A} = \frac{8.85\times 10^{-12}\times750}{0.085} =7.8\times10^{-8} C/m^2[/tex]

A pyramid with a triangular base has a volume of 50cm³. If the base and the height of the triangular base are 5cm and 8cm respectively, find the height of the pyramid ? ​

Answers

Answer:

h = 7.5 cm

Step-by-step explanation:

Firstly, we find the area of the triangular base

Mathematically, we have the area of a triangle as;

A = 1/2 * b * h

A = 1/2 * 5 * 8 = 20 cm^2

Mathematically, we have the formula as;

V= 1/3 * A * h

A is base area and h is height

50 = 1/3 * 20 * h

20h = 3 * 50

20h = 150

h = 150/20

h = 7.5 cm


What is the angular velocity of a point that rotates through
radians in 24 second

What’s the answer?

Answers

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = [tex]\frac{\triangle \theta}{\triangle t}[/tex]

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = [tex]\frac{7\pi }{2}[/tex] radians and Δt = 24 seconds

Therefore, angular velocity = [tex]\frac{\frac{7\pi }{2} }{24}[/tex]

                                              = [tex]\frac{7\pi }{48}[/tex] radians per second

Option A is the answer.

hey guys ... just want to make this answer sure... subtract 2x²+3x+6 from 3x²+5x+7=? A)x²+2x+1 or
B)x²+8x+13​

Answers

Answer:

answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x² + 5x + 7 - (2x² + 3x + 6) ← distribute terms in parenthesis by - 1

= 3x² + 5x + 7 - 2x² - 3x - 6 ← collect like terms

= x² + 2x + 1 → A

E)
The parallelogram WXYZ belwo is a rhombus. Find the measure of
angles 1, 2, 3, 4 and 5 given that angle WZY is 60°
w
2
3
1
4
Answer:
60

Answers

Answer:

1. 60°

2. 60°

3. 30°

4. 30°

5. 30°

Step-by-step explanation:

to find angleXYZ suntract 180 from 60

angle ZWX=120°

Angle WXY=60°

The diagnals divide the inteesections in half

Which relationship has a zero slope?

Answers

Answer:

b has zero slop mark me as a brilliant

B has zero slope mark

Hugo works in a shop.
His normal rate
of pay is £9.00 per hour.
When Hugo works on Sundays, he is paid overtime for each hour.
The overtime rate of pay is 1 1/3times his normal hourly rate.
Last weekend, Hugo worked 7 hours on Saturday and 4 hours on
Work out how money Hugo earned during that weekend.

Answers

Answer: 111 dollars

Step-by-step explanation:

7 hours on Saturday and 4 hours on Sunday

Sunday gets paid 1 1/3, or 4/3 times more which is 9 x 4/3 = 12 per hour

Saturday is 9 per hour

7x9 (Saturday) + 4x12 (Sunday) = 111 dollars

The measure of central angle MNL is π radians, and the measure of the entire circle is 2π radians.

The ratio of the measure of the central angle to the entire circle measure is

Answers

Answer:

1 : 2

Step-by-step explanation:

π / 2π = 1/2

1 : 2

What is the value of x in the diagram?

Answers

Answer:

x=5

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 = c^2

x^2+ ( 2x+2)^2 = (2x+3)^2

FOIL the squared terms

x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9

Combine like terms

5x^2+8x +4 = 4x^2 +12x +9

Subtract  4x^2 +12x +9 from each side

5x^2+8x +4  -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9

x^2 -4x -5 =0

Factor

(x-5) (x+1) = 0

Using the zero product property

x=5   x=-1

But x cannot be negative or we would have negative length

x=5

tion 9 of 10
10 Points
Two sides of a triangle have lengths 4 and 8. Which of the Two sides of the triangle have lengths of 4 and 8. Which of the following can NOT be the length of the third side?

A. 7
B. 4
C. 5
D. 6

Answers

Answer:

B. 4

Step-by-step explanation:

the sum of two sides of a triangle should be longer than one other side

Sam bought a computer and printer for ₹ 1,15,499. The cost of the computer was ₹ 85,789. What was the cost of the printer?

₹ 29,710

₹ 2,01,228

₹9,73,389

Answers

Answer:

₹29,710

Step-by-step explanation:

We minus ₹ 85,789 from ₹ 1,15,499 to get ₹ 29,710

APB is parallel to CTRD. PQRT is a quadrilateral. work out the size of the angle marked x you must show your working

Answers

Answer: X would be 84 degrees.

Step-by-step explanation: APB is a straight angle, which adds up to 180 degrees. TPQ is  90 degrees, and QPB is 32 degrees, so 180-90-32=58. APT is 58 degrees. APT and PTR are alternate interior angles, therefore they have the same angle measure. So PTR is also 58 degrees. A quadrilateral adds up to 360 degrees, so add up the three known angles in the quadrilateral, 58+90+128, which gives you 276 degrees. 360-276=84 degrees, therefore X would be 84 degrees.

Topic: Modeling exponential functions
Kathy plans to purchase a car that depreciates
(loses value) at a rate of 14% per year. The initial
cost of the car is $21,000. Which equation
represents the value, v, of the car after 3 years?
1) v = 21,000(0.14)
2) v = 21,000(0.86)
3) v= 21,000(1.14)
4) v= 21,000(0.86)(3)

Answers

Answer:

Step-by-step explanation:

The standard form equation for this type of problem is

[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of depreciation, and x is the number of years in question. Because the value of the car is going down, b can also be written as (1 - r) where r is the rate of depreciation. For us, then, the equation will look like this:

[tex]y=a(1-r)^x[/tex] and filling in:

[tex]y=21000(1-.14)^3[/tex] which in simplified form is

[tex]y=21000(.86)^3[/tex] which I'm assuming is how choice 4 should look.

Find C. See the image below

Answers

Answer:

55 degrees

Step-by-step explanation:

First, we can use Thales' Theorem to determine that because AC is along the circle's diameter, angle B (the angle opposite to that side) is a right angle.

Next, we know that an inscribed angle with its vertex on the circle, formed by two intersecting chords (A in this case) is equal to 1/2 of its intercepted arc, so angle A = 70/2=35

We can then use the fact that a triangle adds up to 180 degrees here to get

35+90+C=180

C=55 degrees

Help please!
Brainliest + 20 points

Answers

Answer:

im not sure but pls gimme brainlyist bc im a dum dum

Step-by-step explanation:

I am not really sure either looks hard

Sin0=12/37 find tan0

Answers

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

We're provide - Sin θ = [tex] \frac{12}{37} [/tex] which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ = [tex] \tt{ \frac{p}{h}} [/tex] ] . We're asked to find out tan θ ].

[tex] \large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} : [/tex]

[tex] \large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]

[tex] \large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}[/tex]

[tex] \large{ \tt{ ⇢{b}^{2} = 1225}}[/tex]

[tex] \large{ \tt{⇢ \: b = \sqrt{1225}}} [/tex]

[tex] \large{ \tt{⇢ \: b = 35 \: \text {units}}}[/tex]

Now , We know - Tan θ= [tex] \tt{ \frac{perpendicular}{base} }[/tex]. Just plug the values :

[tex] \large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

PLEASE HELP - WILL MARK BRAINLIEST w/ explanation (see attachment)

Answers

Answer:

∠ DOC = 26°

Step-by-step explanation:

The secant- secant angle DOC is half the difference of the intercepted arcs, that is

∠ DOC = [tex]\frac{1}{2}[/tex] (AB - CD) = [tex]\frac{1}{2}[/tex] (82 - 30)° = 0.5 × 52° = 26°

Are lines l & k parallel?

Answers

Answer:

yes both lines have a slope of 2, so they are parallel.

Step-by-step explanation:

Combine like terms to create an equivalent expression.
3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Answers

Answer:

3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Step-by-step explanation:

Answer:

13.01d-2.65

Step-by-step explanation:

I got it right on Khan Academy just combine like terms and you have your answer.

During a sale, a store offered 35% discount on a particular couch that was originally priced at $390. After the sale, the discount price of the camera was increased by 35%. What was the price of the couch after this increase? Round to the nearest cent.

Answers

324 would be your answer to my resortes

Answer:

$342.23

Step-by-step explanation:

35/100 x $390 = $136.50

Price of couch after 35% discount

= $390 - $136.50

= $253.50

35/100 x $253.50 = $88.725

Price of couch after the 35% increase

= $253.50 + $88.725

= $342.225

= $342.23 (round off to nearest cents)

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