2/3y - 2/5 = 15 it’s algebra

The probability of success (p) would be 0.30 and the probability of failure (q) would be 0.70.

Binomial distributions are probability distributions of the number of successes in a fixed number of trials.

The probability of success (p) and the probability of failure (q) must remain the same for each trial.

The probability of success and failure can be represented as a proportion, a percentage, or a decimal.

The sum of the probabilities of success and failure must equal 1.

The mean of the binomial distribution is equal to np.

Where n is the number of trials and p is the probability of success.

The standard deviation of the binomial distribution is equal to npq, where n is the number of trials, p is the probability of success, and q is the probability of failure.

The z-table can be used to calculate the probability of a given number of successes or failures in a binomial distribution.

The sampling distribution of this study would be a binomial distribution, as it is a study of the proportion of first-time customers out of 100 orders.

For similar question on probability :

https://brainly.com/question/11234923

#SPJ11

Given information: Mass of dolphin, m = 1800 N; Height of jump, h = 2.10 m.

The gravitational potential energy of the dolphin can be calculated as follows: Gravitational potential energy = mgh where, m is the mass of the dolphin, g is the acceleration due to gravity, and h is the height of the jump.

Given that the dolphin jumps from the water, its initial potential energy is zero. Hence, the total energy of the dolphin is equal to the potential energy at the highest point. At this point, the kinetic energy of the dolphin is also zero. Therefore, the energy conservation equation can be written as follows: mg h = (1/2)mv²where, v is the velocity of the dolphin just before it jumps out of the water.  

Solving for v, we get v = sqrt(2gh)where sqrt denotes the square root, g is the acceleration due to gravity, and h is the height of the jump. Substituting the given values, we get v = sqrt(2 x 9.8 x 2.10)v = 6.22 m/s Therefore, the dolphin must be moving at a speed of 6.22 m/s as it leaves the water in order to jump to a height of 2.10 m.

Know more about gravitational potential energy:

https://brainly.com/question/3910603

#SPJ11

Answer:

The value of x is 4.

The value of y is 26.

Step-by-step explanation:

Here in qn a)

It has been given that n(AUBUC)=74

So we just add all components of n(AUBUC) and add it in an equation which equals to 74;

13 + 12 - x + x + 20 - x + 15 - x + 8 + 14 = 74

82 - 2x = 74

82 - 74 = 2x

8 = 2x

4 = x

So x is 4.

Now for qn b)

It has already been given that n(AUBUC) = 74 and n(U) = 100

so to find y we simply substract n(AUBUC) from n(U)

y = n(U) - n(AUBUC)

= 100 - 74

=26

Just ask me in the comments if you have any questions.

The given equation is y = 3x - x + 7, which can be simplified to y = 2x + 7. To check which ordered pair does not represent a point on the graph of this equation, we need to substitute the values of x and y from each ordered pair into the equation and see if it holds true.

Let's take the first ordered pair (2, 10):

y = 2x + 7

y = 2(2) + 7

y = 11

So the point (2, 10) does not satisfy the equation and hence does not represent a point on the graph of y = 3x - x + 7.

For the second ordered pair (4, 15):

y = 2x + 7

y = 2(4) + 7

y = 15

So the point (4, 15) satisfies the equation and represents a point on the graph of y = 3x - x + 7.

For the third ordered pair (-1, 5):

y = 2x + 7

y = 2(-1) + 7

y = 5

So the point (-1, 5) satisfies the equation and represents a point on the graph of y = 3x - x + 7.

Therefore, the ordered pair (2, 10) does not represent a point on the graph of y = 3x - x + 7.

To learn more about equation, click here:

brainly.com/question/29657992

#SPJ11

Answer:

18 people

Step-by-step explanation:

18/2=9

9+11=20

Answer:

18.

Step-by-step explanation:

this is because in order to find out how many were on the bus, you simply do 20 - 11 = 9. Than you must multiply 9 by 2 which equals 18. That gives you your answer.

Answer: 45 minutes for BOTH workouts

Step-by-step explanation:

Let time for plan a be x

Let time for plan b be y

On Wednesday

# of clients for plan a are 5

# clients for plan b are 3

On Thursday

# of clients for plan a are 7

# of clients for plan b are 9

Wednesday eqn --> 5x+3y=6

Thursday eqn --> 7x+9y=12

Multiply Wednesday equation by -3 and use elimination to solve

-15x-9y=-18

7x+9y=12

-8x=-6

x=6/8

Reduce: x=3/4 hour

Substitute x=3/4 into Thursday equation

7(3/4)+9y=12

9y=27/4

y=3/4

Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes

Answer:

225 miles

Step-by-step explanation:

(15)(15)=225

Hope this helps

The probability of answering the first question correctly is 0.2.

The first two questions correctly, 0.04

Incorrectly answer the first 3 correctly, 0.512

Incorrectly answer the first 4 correctly, 0.41

The probability of answering each question correctly is 1/5 = 0.2. The probability of answering incorrectly is 4/5 = 0.8.

Therefore, the probabilities for each scenario are:

Answer the first question correctly: 0.2

Answer the first 2 questions correctly: 0.2 x 0.2 = 0.04

Incorrectly answer the first 3 questions correctly: 0.8 x 0.8 x 0.8 = 0.512

Incorrectly answer the first 4 questions correctly: 0.8 x 0.8 x 0.8 x 0.8 = 0.41

Learn more on probabilities here: https://brainly.com/question/7965468

#SPJ1

The complete question is:

imagine that you are taking a multiple-choice quiz written in Swedish and must guess randomly. each question has 5 choices and 1 correct answer. calculate the probability that you...answer the first question correctly. Correct answer the first 2 questions correctly. Incorrect answer the first 3 questions correctly. Incorrect answer the first 4 questions correctly.

The average gradient of the stream is 0.3 meters/kilometer (m/km).

To calculate this, we need to determine the change in elevation over the distance of 200 kilometers. Therefore, the difference in elevation is 600 meters (the starting elevation) minus the elevation at the ocean (assumed to be 0 meters). Dividing this difference (600 meters) by the distance (200 kilometers) gives us the average gradient: 0.3 m/km.

It is important to remember that this is only an average, and the gradient of a stream is not constant throughout its course. Factors such as terrain, obstacles, and rainfall will all affect the gradient of the stream, making it higher or lower at certain points. It is also important to note that a negative gradient means the elevation of the stream is decreasing, while a positive gradient indicates that the elevation is increasing.

In conclusion, the average gradient of the stream beginning at 600 meters and flowing 200 kilometers to the ocean is 0.3 m/km.

For more such questions on Average gradient.

https://brainly.com/question/7472207#

#SPJ11

Answer:

0.82 m/s^2

Step-by-step explanation:

Given data

initial velocity=20m/s

Final velocity= 30m/s

Time = 12.2s

Applying the formula

a= v-u/t

a= 30-20/12.2

a= 10/12.2

a= 0.819

a=0.82 m/s^2

To find the joint PDF/PDF of X and Y, we'll use the conditional probability formula. The joint PDF/PDF of X and Y is denoted as fX,Y(x, y).

Given that X follows a Beta(a, b) distribution, the PDF of X is:

fX(x) =\((1/Beta(a, b)) * (x^_(a-1))\)\(* ((1-x)^_(b-1))\)

Now, for a fixed constant y, the conditional PDF of Y given X = x is defined as:

fY|X(y|x) = 1  

if y = constant

0   otherwise

Since the value of Y is constant given X = x, we have:

fX,Y(x, y) = fX(x) * fY|X(y|x)

For y = constant, the joint PDF of X and Y is:

fX,Y(x, y) = fX(x) * fY|X(y|x)

          =\((1/Beta(a, b)) * (x^_(a-1))\)\(* ((1-x)^_(b-1))\)\(* 1\)  if y = constant

          = 0   otherwise

Therefore, the joint PDF/PDF of X and Y is fX,Y(x, y)

= (1/Beta(a, b)) * (x^(a-1)) * ((1-x)^(b-1))

if y = constant, and 0 otherwise.

(b) To find E[Y] and V(Y), we'll use the properties of conditional expectation.

E[Y] = E[E[Y|X]]

     = E[constant]  

(since Y|X = x is constant)

     = constant

Therefore, E[Y] is equal to the fixed constant.

V(Y) = E[V(Y|X)] + V[E[Y|X]]

Since Y|X is constant for any given value of X, the variance of Y|X is 0. Therefore:

V(Y) = E[0] + V[constant]

     = 0 + 0

     = 0

Thus, V(Y) is equal to 0.

(c) To find E[X|Y = y], we'll use the definition of conditional expectation.

E[X|Y = y] = ∫[0,1] x * fX|Y(x|y) dx

Given that Y|X is a constant, fX|Y(x|y) = fX(x), as the value of X does not depend on the value of Y.

Therefore, E[X|Y = y] = ∫[0,1] x * fX(x) dx

Using the PDF of X, we substitute it into the expression:

E[X|Y = y]

= ∫[0,1] x * [(1/Beta(a, b)) \(* (x^_(a-1))\)\(* ((1-x)^_(b-1))]\)\(dx\)

We can then integrate this expression over the range [0,1] to obtain the result.

Unfortunately, the integral does not have a closed-form solution, so it cannot be expressed in terms of elementary functions. Therefore, we can only compute the expected value of X given Y = y numerically using numerical integration techniques or approximation methods.

To know more about constants visit:

https://brainly.com/question/32200270

#SPJ11

Answer:

5

Step-by-step explanation:

\(8:5=15:x\\8*x=15\\(8*x)/8=15/8\\x=1.875\\\\\frac{8}{5} *1.875=\frac{15}{x} \\\frac{8}{5} *1.875=3\\3=\frac{15}{x}\\x=5\)

Answer:

the answer is n ≥ -49

here are the steps for solving-

the problem Is like  n/7+3 ≥ -4

1. First subtract 3 from both sides. After doing that, the inequation should be Like This:

n/7 ≥ -7

2. since 7 is in Division form, when it goes to RHS, You multiply.

So -7 times 7 Is -49

so the answer is n≥ -49

Hey there!

The answer to your question is \(95.55\)

Formulas:

Area of semi-circle = \(\frac{1}{2}(\pi r^2)\)

Area of rectangle = \(lw\)

Area of triangle = \(\frac{bh}{2}\)

Now solve:

semi-circle

\(\frac{1}{2}\pi3^2\)

\(\frac{1}{2}\pi9\)

\(4.5\pi\)

(We will use 3.14 as approx. for pi)

\(4.5 * 3.14\\23.55\)

rectangle

\(10(6)\\60\)

triangle

\(\frac{4(6)}{2}\)

\(\frac{24}{2} \\12\)

Now add them all together:

\(23.55+60+12\\95.55\)

Have a terrificly amazing day!

Answer:

The LEAST number of watches Regina can make WITHOUT having any supplies left over is 30 watches

Step-by-step explanation:

Regina buys materials to make watches for a jewelry fair. The materials are sold separately; there are 6 watch faces sold per package and 10 watch bands sold per package. What is This question has to do with Lowest Common

Step 1

We find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

Multiples of 6:

6, 12, 18, 24, 30, 36, 42

Multiples of 10:

10, 20, 30, 40, 50

Therefore,

LCM(6, 10) = 30

The LEAST number of watches Regina can make WITHOUT having any supplies left over is 30 watches

Answer:

30

Step-by-step explanation:

Given that :

6 watch faces per package and 10 watch bands per package :

To obtain the least number of watches that can be made without any supplies left over, we take the Least common multiple ( L. C. M) Of 6 and 10

_2__|6___|10

_3__|3___|5

_5__|1___ |5

____|1___|1

Lowest common multiple = (2 * 3 * 5). = 30

An integral for the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves y = tan² x, y = 3, and x = 0 about the line y = 3 is V = ∫[0, arctan(√3)] 2πx(3 - tan²(x)) dx.

The method of cylindrical shells can be used to set up the integral for the solid's volume after rotating the first quarter region defined by the curves y = tan² x, y = 3, and x = 0 about the line y = 3.

We must take into account an infinitesimally thin strip of width dx at a distance x from the y-axis in order to set up the integral.

This cylindrical shell's volume can be estimated by multiplying its height, radius, and thickness (dx) together. Consequently, each shell's volume is as follows:

dV = 2πx(3 - tan²(x)) dx

Setting 3 = tan²(x), we have:

tan²(x) = 3

tan(x) = √3

x = arctan(√3)

Thus, the integral for the volume of the solid is: V = ∫[0, arctan(√3)] 2πx(3 - tan²(x)) dx

For more details regarding integral, visit:

https://brainly.com/question/31059545

#SPJ12

SO you would have to first have the surface area of the cube which is 25 for each side so 25 x 6 = 150

Then you find the surface area for the other sides and It is 4 x 5 divided by two for each triangle on the side,  so that would be 20 and you multiply then 6.4 x 5 to equal 32 for the rectangle. The last part is the bottom and it is 4 x 5 again which is 20 so then you add them all up but im not sure.

Step-by-step explanation:

Samuel's sons age=16p/4

24 =4p

p=6

Samuel's age =16×6

=96 years old

Jake will have traveled 36 miles in his boat after 3 hours at a speed of 12 mph.

What is Distance?

Distance is defined as the space between two points in space.

To find out how far Jake will have traveled after 3 hours, we can use the formula:

distance = speed x time

where speed is the rate at which Jake is traveling and time is the duration of the travel. In this case, the speed is 12 mph and the time is 3 hours.

So, the distance traveled after 3 hours is:

distance = 12 mph x 3 hours = 36 miles

Therefore, Jake will have traveled 36 miles in his boat after 3 hours at a speed of 12 mph.

To know more about Distance visit,

https://brainly.com/question/26550516

#SPJ4

Answer:

172.05

Step-by-step explanation:

formula to find regular pentagon=1/4 root 5(5+2root5)a^2

D. The graph of g(x) is translated 5 units to the left compared to the graph of f(x).

Answer:

the SSS similarity theorem

Step-by-step explanation:

⇒ It cannot be the SAA similarity theorem as they only share a single common angle

⇒ It cannot be the HL similarity theorem, as the sides are not equal

⇒ It must be the SSS triangles

===========================================================

It states that :

If the lengths of the corresponding sides of two triangles are proportional, then the two triangles are similar.

============================================================

Let's take the sides in proportion :

⇒ 15/5 = 3 (Hypotenuses)

⇒ 6+3/3 = 9/3 = 3 (Heights)

⇒ 8+4/4 = 12/4 = 3 (Bases)

As the sides are in proportion, the triangles are similar by the SSS similarity theorem.

Answer:

Step-by-step explanation:

there would be 18 muffins.

if you multiply each number by 3 then add them it will end up at 48.

6x3=18

10x3=30

30+18=48

30:18

Answer:

\(f(x)=x^3 +4x^2 +16x +64\)

Step by step explanation:

\(\text{Given that, two roots are}~ -4~ \text{and}~ 4i.\\\\\text{Let,}\\\\~~~~~~~x = 4i\\\\\implies x^2 = 16i^2~~~~~~~;[\text{Square on both sides}]\\\\\implies x^2 = -16~~~~~~~~;[i^2 = -1]\\\\\implies x^2 +16 = 0\\\\\text{So,}~ x^2 +16~ \text{ is a factor of the 3 degree polynomial}.\\ \\ \text{The polynomial is ,}\\\\ f(x) = (x+4)(x^2 +16)\\\\~~~~~~~=x^3 +16x +4x^2 +64\\\\~~~~~~~=x^3 +4x^2 +16x +64\)

Answer:

13

Step-by-step explanation:

Product is multiply

h * 5 = 65

Divide 5 on both sides

h * 5 = 65

/5 /5

h = 13

When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

To know more about probability visit :-

https://brainly.com/question/22983072

#SPJ11

Answer:

28400cm

Step-by-step explanation:

if 9 days=7m

:.365 days=?

365×7/9

283.88888

rounded off to nearest whole number =284m

change to cm=28400cm

The speed of the object expressed in centimeters per year and rounded to the nearest whole number is 28390 cm/yr

Speed per day = Distance / Number of days

Speed per day = 7 meters ÷ 9 days = 0.7778 m/day

Converting to centimeters per year :

Hence,

0.7778 m/day = (0.7778 × 100cm) ÷ (1/365 years)

(0.7778 × 100cm) ÷ (1/365 years) = (77.78 cm ÷ 0.0027397 year)

0.7778 m/day = 28389.7 cm / year

Therefore, the speed of the object is 28390 cm/yr

Learn more : https://brainly.com/question/18796573

Answer:

D. tan 0 = 8/15 and A. sec 0 = 17/15

Step-by-step explanation:

Cos 0 = adjacent/ hypotenus

Adj = 15 and Hyp =17

Using pythagoras theory

Opp^2 = 17^2 - 15^2

Opp^2 = 289 - 225

Opp^2 = 64

Therefore Opp = 8 which is the square root of 64

tan 0 = opp/adj

tan 0 = 8/15

Sec 0 is the multiplicative inverse of cos 0

Answer:

Step-by-step explanation:

Given the expression 7+(-2)

Let 7 be 7 positive tiles since it is a positive number

Let -2 be 2 negative tiles being a negative number

7+(-2) = 7 positive tiles and 2 negative tiles

note that + * - will give minus sigh (-), the expression will become:

7+(-2) = 7-2

7-2 = 5

Hence the expression gives 5 positive tiles not 2 positive tiles according to Jillian calculations in step 4.

Hence Jillian made an error in step 4

Answer:

the answer would in-fact be D

Step-by-step explanation:

hope this helps

ps i did this on edge.

Answer:

Common difference: tₙ = (95x - 4)

Question: How do we find the 83rd term?

Step-by-step explanation:

\(t_n = (95x-4)\\83 * 4 = 332\\95x - 332 = -237x\\-237x = -237\\-237\)

Therefore, the answer is -237