At a swimming race, 3 out of 10 swimmers won a ribbon. What percent of the swimmers won a ribbon?

Answer:

Step-by-step explanation:

[tex]2x - 5 = 7 \\ 2x = 12 \\ x = 6[/tex]

Hey there!

“Solve 2x – 5 = 7”

FIRST: ADD both SIDES by 5

2x – 5 + 5 = 7 + 5

CANCEL out: –5 + 5 because it gives you 0

KEEP: 7 + 5 because it helps us solve for x

7 + 5 = 12

NEW EQUATION: 2x = 12

SECOND: DIVIDE both sides by 2

2x / 2 = 12 / 2

CANCEL out 2 / 2 because that gives you 1

KEEP: 12 / 2 because it gives you the value of x

NEW EQUATION; x = 12 / 2

SOLVE ABOVE and you have your answer

12 / 2 = 6

Therefore, x = 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

(c) 24 (d) 2 -4 (e) 22 2 1.25 0

Step-by-step explanation:

Problem 1.1 (10 Points) Let 21 2j, and 23 j. Find the value of each of the following 3 4j, 22 expressions and give your answers in rectangular form z t jy. (a) 132122 (b) 321 421 (c) (21)3 (Note that superscript denotes conjugation.) 222 21 (d) 22 (e) 2223 Problem 1.2 (10 Points) (a) Find real numbers r and y such that 5z -3y j(5y z) 4. (b) Show that any complex number z can also be expressed as z e 2"* k 0, 1,2, 3. Problem 1.3 (10 Points) Express each of the following complex numbers in polar form. a) 2 2V3 (c) 1 j j2 7 4j (d) 3-2j (e) Problem 1.4 (10 Points) Use the results from Problem 1.2 (b) above to find all roots of the following complex numbers and plot your results in the complex plane. (a) 1 (Hint: there are 5 different answers and one is 2 (b) 23 (1 -j) (Hint: there are 3 different answers. (c) 24 (d) 2 -4 (e) 22 2 1.25 0

6 * 5 = 30

42 - 30 = 12

? * 2 = 12

? = 6

Answer:look below

Step-by-step explanation: The prime factorization of number is the break down into factors which are prime numbers (numbers without factors except 1 and itself). The factors 22 and 32 are composite numbers since they have more than 1 and itself as factors. They are not prime.

However, the factorization of 22 * 32 * 5 will equal a number. 22*32*5 = 3, 520. But it does not match the solutions given.

Answer:

2464

Step-by-step explanation:

prime factors : 32,11,7

32×11×7=2464

Answer: 14

Step-by-step explanation:

Answer: A) 6 in^2

First, you need to find the length of the base.

a = 3, b = ?, c= 5

Using Pythagorean Theorem*: a^2 + b^2 = c^2

b^2 = c^2 - a^2

b^2 = 5^2 - 3^2

b^2 = 25 - 9

b^2 = 16 (square root both sides)

b = 4

Now, you have to find the area using the area of a triangle formula: A = (bh)/2

A = (bh)/2

A = (4·3)/2

A = 12/2

A = 6 in^2

Pythagorean Theorem is used for this question since it's a right triangle.

Answer: A) 6in^2

Step-by-step explanation:

base = 4 in

height = 3 in (pythagorean theorem)

A = (bxh)/2 = (4x3)/2 = 12/2 = 6 in^2

Answer:

The probability of drawing a red is 50% blue is 1/3 or 33.33% yellow is 1/6 or 16.66

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

he teaches 1 trick every 15 minutes 75 divided by 15 gives you 5 so Jonah can teach 5 tricks in a 75 minute class

Answer:

5

Step-by-step explanation:

 bjhugvcyfxtdrzstxycfugiholiugkyftdrsetdfyugi

Answer:

BE =DE

BEC=DEC

AEB AED

Step-by-step explanation:

not that hard lol

sample response

No his statement is not correct. Brody confused value and magnitude. [-4]= 4 and -[+1] = 1. The magnitude of -4 is grater than the magnitude of +1. Stock F had a greater price change.

Answer:

angle N is 64 and the bottom one is 52

Step-by-step explanation:

M and N are the same angke and they add up to 128 and all angles in a triangle add up to 180 meaning the bottom angle is 52

Answer:

N = 64 if there is another letter it would be 52

Step-by-step explanation:

I hope this helps <3

Answer: -8/7

Step-by-step explanation:

Answer:

(5×3x)+(5×y)

Step-by-step explanation:

=15x+5y ans

Answer:

The 2nd equation

Given:

In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].

[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

To prove:

[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Proof:

In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.

In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],

Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex]       [Given]

Leg : [tex]\overline{CD}=\overline{CD}[/tex]       [Common]

If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.

[tex]\Delta ACD\cong \Delta BCD[/tex]        [HL postulate]

[tex]\overline{AD}\cong \overline{BD}[/tex]       [CPCTC]

[tex]\overline{AD}=\overline{BD}[/tex]

It means, point D is the midpoint of [tex]\overline{AB}[/tex].

So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Hence proved.

Answer:

E

Step-by-step explanation:

We are given that a particle's position along the x-axis at time t is modeled by:

[tex]x(t)=2t^3-21t^2+72t-53[/tex]

And we want to determine at which time(s) t is the particle at rest.

If the particle is at rest, this suggests that its velocity at that time is 0.

Since are we given the position function, we can differentiate it to find the velocity function.

So, by differentiating both sides with respect to t, we acquire:

[tex]\displaystyle x^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-21t^2+72t-53\big][/tex]

Differentiate. So, our velocity function is:

[tex]v(t)=6t^2-42t+72[/tex]

So, we will set the velocity to 0 and solve for t. Hence:

[tex]0=6t^2-42t+72[/tex]

We can divide both sides by 6:

[tex]0=t^2-7t+12[/tex]

Factoring yields:

[tex](t-3)(t-4)=0[/tex]

By the Zero Product Property:

[tex]t-3\text{ and } t-4=0[/tex]

Hence:

[tex]t=3\text{ and } t=4[/tex]

Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.

Our answer is E.

Answer:

Total distanced traveled = 205 m

Step-by-step explanation:

200 m+5 m=205 m

Answer:

x = 14

Step-by-step explanation:

For complementary angles, the sum of two angles is equal to 90 degrees.

We have,

[tex]m\angle ABC = 4x-10\\\\m\angle DBC = x+30[/tex]

ATQ,

[tex]4x-10+x+30=90[/tex]

Taking like terms together,

4x+x =90-30+10

5x = 70

x = 14

So, the value of x is 14.

Answer:

The answer is $270

Step-by-step explanation:

1. Take the original price.

2. Divide the original price by 100 and times it by 10.

3. Move the decimal one place to the left.

4. Minus this new number from the original one.

5. This will give you the discounted value.

I hope this helped! :)

Answer:

Yes, the probability distribution is valid.

Step-by-step explanation:

Given :

Income range ___ midpoint(x) ___ %

5 - 15 __________ 10 _____20%

15 - 25 _________ 20 _____13%

25- 35 _________ 30 _____ 21%

35 - 45 _________40 _____ 17%

45 - 55_________ 40 ____ 20%

55 or more _______ 50 _____9%

Yes, we do have a valid probability distributuon ; as the summation of the percentage values is equal to 100%

Yes. Using the income midpoints  x and the percent of super shoppers, we can conclude that we have a valid probability distribution.

Given:

Income ranges: 5-15, 15-25, 25-35, 35-45, 45-55, 55 or more.

Midpoints x:       10,     20,      30,      40,       50,      60

Percent of super shoppers: 20%, 13%, 21%, 17%, 20%, 9%.

A valid probability distribution has two must have properties:

Its probabilities are non-negative.

Its probabilities sum to 1.

In the given data, the percentages can be converted to probabilities by dividing by 100 as :

0.2, 0.13, 0.21, 0.17, 0.2, 0.09

None of the probabilities are negative.

All probabilities add up to 1

[tex]0.2 + 0.13 + 0.21 + 0.17 + 0.2 + 0.09 = 1[/tex]

Thus, given distribution is a valid probability distribution.

Learn more here:

https://brainly.com/question/795909

Answer: i think it’s option D i might be wrong

Step-by-step explanation: i think it’s option D i might be wrong

Answer:

1/4

Step-by-step explanation:

the probability  of selecting a spade: 14/52 = 1/4

Answer:

P(at least 4)  = 0.74431

Step-by-step explanation:

Here

Probability of the flights on time is = 70% = 70/100= 0.7

q= 0.3

n= 6

As the probability of success and failure is constant and the n is also fixed then the binomail probability distribution can be used to solve this.

P (x= 4) = 6c4 *(0.7)^4 (0.3)^2= 15*0.2401* 0.09= 0.324135

P (x= 5) = 6c5 *(0.7)^5(0.3)^1= 6*0.16807* 0.3=0.302526

P (x= 6) = 6c6 *(0.7)^6 (0.3)^0= 0.117649P

P (x= 0) = 6c0 *(0.7)^0 (0.3)^6= 0.000729

P (x= 1) = 6c1 *(0.7)^1 (0.3)^5=0.010206

P (x= 2) = 6c 2*(0.7)^2 (0.3)^4=0.059535

P (x= 3) = 6c3 *(0.7)^3 (0.3)^3=0.18522

Probability of at least 4 means that probability of greater than 4 inclusive of 4.

This can be obtained in two ways.

First is by subtracting the probabilities of less than 4.

Second is by adding probabilities greater than 4 including 4.

We get the same answer with any of the two methods used.

P(at least 4) = 1- P(x<4)

                     = 1- [ 0.000729+ 0.010206 +0.059535+ 0.18522]

                     = 1- 0.25569

                       = 0.74431

P (at least 4) = P(x=4) +P(X=5) + P(x=6)

                        =0.324135+ 0.302526+ 0.117649

                        =0.74431

Answer:

50 C = 122 F

Step-by-step explanation:

50°C × 9/5 +32

Answer:

The sum would be

[tex]\frac{3}{2} [/tex]

The difference would be

[tex] \frac{2}{3} - \frac{5}{6} = - \frac{1}{6} \\ \\ or \\ \\ \frac{5}{6} - \frac{2}{3} = \frac{1}{6} [/tex]

Answer:

4x + 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Step-by-step explanation:

Step 1: Define

4(x + 3)

Step 2: Expand

Answer:

[tex] \huge4(x + 3) = 4x + 12[/tex]

Answer:

There are no solutions

Step-by-step explanation:

No intersections or points that apply for the equations.

Answer:

I suppose that the event here is selecting randomly a shoe.

We know that there are 246 shoes in the store, and 198 of them are women's shoes.

Then there are 246 - 198 = 48 shoes that are not women's shoes.

This means that if the event is something like "finding randomly a women's shoe"

The complement would be "selecting randomly a shoe which is not a women's shoe"

And there will be 48 outcomes that meet this condition.