I need he,p i have to finish this by 12:30!!

Answer:

Step-by-step explanation:

x^1/3( x^1/2 + 2x^2)

x^(1/2 + 1/3) + 2x^(2 + 1/3)

x^(5/6) + 2x^(7/3)

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

for such more questions on  probability

https://brainly.com/question/29070527

#SPJ8

Answer:

hello

explanation:

hi

Answer:

explanation:

A quadrilateral has total sum of interior angle of 360°

solve for x:

3x - 6 + 2x - 8 + x + 10 + x = 360

3x + 2x + x +x - 6 - 8 + 10 = 360

7x - 4 = 360

7x = 364

x = 52°

solve for each angle:

m∠J = (3x-6) = (3(52)-6) = 150°

m∠K = (x+10) = (52 + 10) = 62°

m∠L = x = 52°

m∠M = (2x-8) = (2(52)-8) = 96°

A value 3 standard deviations above the mean is 110

a. To find a value that is 3 standard deviations above the mean, we can use the formula:

value = mean + (number of standard deviations) x standard deviation

So, substituting the given values, we get:

value = 77 + (3) x 11

value = 77 + 33

value = 110

Therefore, a value 3 standard deviations above the mean is 110.

b. To find a value that is 2.5 standard deviations below the mean, we can use the same formula:

value = mean - (number of standard deviations) x standard deviation

Substituting the given values, we get:

value = 77 - (2.5) x 11

value = 77 - 27.5

value = 49.5

Therefore, a value 2.5 standard deviations below the mean is 49.5.

c. To find a value that is 2 standard deviations below the mean, we can use the same formula:

value = mean - (number of standard deviations) x standard deviation

Substituting the given values, we get:

value = 77 - (2) x 11

value = 77 - 22

value = 55

Therefore, a value 2 standard deviations below the mean is 55.

d. To find a value that is 1 standard deviation above the mean, we can use the same formula:

value = mean + (number of standard deviations) x standard deviation

Substituting the given values, we get:

value = 77 + (1) x 11

value = 77 + 11

value = 88

Therefore, a value 1 standard deviation above the mean is 88.

Learn about mean here https://brainly.com/question/1136789

#SPJ1

Answer:

(a)  0.2650

(b)  0.0111

(c)  0.0105

(d)  0.0006

Step-by-step explanation:

Given that:

In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample.

Suppose that the number of CFUs that appear after incubation follows a Poisson distribution with mean μ = 15.       &;

If the area of the agar plate is 75cm²;

what is the probability  of observing fewer than 4 CFUs in a 25 cm² area of the plate.

We can determine the mean number of CFUs that appear on a 25cm² area of the plate as follows;

75cm²/25cm² = 3

Since;

mean  μ = 15  

mean number of CFUs that appear on a 25cm² = 15/3 = 5 CFUs

Thus ; the probability of observing fewer than 4 CFUs in a 25 cm² area of the plate is estimated as:

= P(X < 4)

Using the EXCEL FUNCTION ( = poisson.dist(3, 5, TRUE) )

we have ;

P(X < 4) = 0.2650

b) If you were to count the total number of CFUs in 5 plates, what is the probability you would observe more than 95 CFUs?

Given that the total number of CFUs = 5 plates; then the mean number of CFUs in 5 plates =  15×5 = 75 CFUs

The probability is therefore = P( X > 95 )

= 1 - P(X ≤ 95)

= 1 - poisson.dist(95,75,TRUE) ( by using the excel function)

= 0.0111

c) Repeat the probability calculation in part (b) but now use the normal approximation.

Let assume that the mean and the variance of the poisson distribution are equal

Then;

\(X \sim N (\mu = 75 , \sigma^2 = 75)\)

We are to repeated the probability calculation in part (b) from above;

So:

P( X > 95 )

use the normal approximation

From standard normal variable table:

P(Z > 2.3094)

Using normal table

P(Z > 2.3094) = 0.0105

(d)  Find the difference between this value and your answer in part (b).

So;

the difference between the value in part c and part b is;

=  0.0111 - 0.0105

\(= 6*10^{-4}\)

= 0.0006 to four decimal places

Answer:

I guess

Step-by-step explanation:

B and C are equal matrix

The answer to the equation is B + C.

Answer: Find out how many eagles per ton hay costs:

(4/5 eagle)/ 1/6 ton  =  6/1  *  4/5   =   24/5  =  4.8 eagles per ton

THEN  2/3 ton would cost:

2/3 ton  *  24/5  eagles/ton =  (24*2) /(5*3) = 48/15 = 16/5 = 3.2 eagles

Step-by-step explanation:

Answer:

\(BC=5.1\)

\(B=23^{\circ}\)

\(C=116^{\circ}\)

Step-by-step explanation:

The diagram shows triangle ABC, with two side measures and the included angle.

To find the measure of the third side, we can use the Law of Cosines.

\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

In this case, A is the angle, and BC is the side opposite angle A, so:

\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)

Substitute the given side lengths and angle in the formula, and solve for BC:

\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-42\cos 41^{\circ}\)

\(BC^2=58-42\cos 41^{\circ}\)

\(BC=\sqrt{58-42\cos 41^{\circ}}\)

\(BC=5.12856682...\)

\(BC=5.1\; \sf (nearest\;tenth)\)

Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:

\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)

Substitute the values of the sides and angle A into the formula and solve for the remaining angles.

\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)

Therefore:

\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)

\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)

\(B=22.5672442...^{\circ}\)

\(B=23^{\circ}\)

From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):

\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)

\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)

\(180^{\circ}-C=63.5672442...^{\circ}\)

\(C=180^{\circ}-63.5672442...^{\circ}\)

\(C=116.432755...^{\circ}\)

\(C=116^{\circ}\)

\(\hrulefill\)

Additional notes:

I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.

Answer:

25

Step-by-step explanation:

5x5 = 25

Answer:

25

Step-by-step explanation:

Let's go through our times tables really quick!

5x1 = 5 (5 + 0)

5x2 = 10 (5 + 5)

5x3 = 15 (5 + 5 + 5 [10 + 5])

5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)

As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5

So, 5x5 is 25

Hope this helped!

Answer:

8

Step-by-step explanation:

1/4 times 8 is 2

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

Answer:

the first one is c

Step-by-step explanation:

i did just did it

The critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.

The critical value to be used in constructing the 90% confidence interval is 1.645. This is the z-score associated with a 90% confidence level. In other words, this is the value that is 1.645 standard deviations away from the mean. This value is found using the z-table, which contains the probability values for a standard normal distribution.

Therefore, the critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.

To learn more about the confidence interval visit:

https://brainly.com/question/14041846.

#SPJ1

Answer:

first option

Translate seven left followed by mirror over y = 2

Step-by-step explanation:

The solution is Option A.

The translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along R = 2

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:  y=f(x+c) (same output, but c units earlier)

Right shift by c units:  y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the triangle be represented as MNP

Now , the transformed triangle be STR

Now , the translation is given as

Step 1 :

The coordinates of triangle is MNP

M = M (-5 , 2 )

N = N ( - 8 , 5 )

P = P ( -2 , 4 )

Now , the translation of 7 units to the right will result in

M' = M' ( 2 , 2 )

N' = N' ( -1 , 5 )

P' = P' ( 5 , 4 )

Step 2 :

The coordinates of the translated triangle M'N'P' is

M' = M' ( 2 , 2 )

N' = N' ( -1 , 5 )

P' = P' ( 5 , 4 )

Now , on reflection of triangle M'N'P' by R = 2 , we get

S = S ( 2 , 2 )

T = T ( -1 , -1 )

R = R ( 5 , 0 )

Hence , the translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along the R = 2

To learn more about transformation of function click :

https://brainly.com/question/26896273

#SPJ2

The probability that Pete exceeds 200 in at least 9 of his next 10 games is 0.268+0.1074 = 0.3754

Probability is defined as the likeliness of an event to happen.

It has a range of 0 to 1.

It is given that

Pete, a professional bowler, is unhappy with any game below 200

80% of his games exceed this score.

the probability that Pete exceeds 200 in at least 9 of his next 10 games is given by

P( 9/10 > 200) +P(10/10>200)

The binomial experiment consists of n trial out of it x is success.

\(P( x) = \dfrac{n!}{x!(n-x)!}p^x(1-p)^{n-x}\)

Here p = 0.8

For 9/10 matches

\(P( 9/10 > 200) = \dfrac{10!}{9!(10-9)!}0.8^9(1-0.8)^{10-9}\\\\ = {10}(0.8)^9(0.2)\\= 0.268\)

For (10/10 >200)

\(P( 10/10 > 200) = \dfrac{10!}{10!(10-10)!}0.8^{10} (1-0.8)^{10-10}\\\\ = {1!}(0.8)^{10}\\= 0.1074\)

Therefore the probability that Pete exceeds 200 in at least 9 of his next 10 games is 0.268+0.1074 = 0.3754.

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

Answer:

the answer is 0.7692

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

When functions are "nested" like this (nested is not a math word; the mathy word is composed or composition) you need to start all the way on the inside.

f(g(-3))

means find g(-3) first, then put that answer into f.

g(x) = x - 7

g(-3) = -3 - 7

g(-3) = -10

We found g(-3) is -10, so now put -10 into f.

f(x) = 2x + 5

f(-10) = 2(-10) + 5

= -20 + 5

= -15

Answer:

with times hight

Step-by-step explanation:

multiply with and hight together to get a full lay out of the prisms and if the are halves i usauly add them together to form one unite hope this help and that were on the same page

Answer:

To use a unit cube, you have to multiply the length and the width just like finding the area of a 2D shape. You will then take your "area" and multiply that by the height of the object.

Step-by-step explanation:

Example, if I have a rectangular prism that is 10 inches long, 4 inches wide, and 6 inches tall, I can multiply 10 and 4 to get 40. I will then take the 6 inches, and multiply it to 40. 40x6=240. The volume of my prism is 240.

I would also like to point out that you can multiply the factors in any order because of the commutative property

Answer:

B. y = 2x - 2

E. \( y + 4 = 2(x + 1) \)

F. \( y - 6 = 2(x - 4) \)

Step-by-step explanation:

The equation of the line can be found using either the point-slope equation or the slope-intercept equation.

✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):

Slope = m = change in y/change in x

Using (4, 6) and (-1, -4),

m = (-4 - 6)/(-1 - 4)

m = -10/-5

m = 2

Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form \( y - b = m(x - a) \)

Thus:

\( y - 6 = 2(x - 4) \)

✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):

Slope = m = 2

Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form \( y - b = m(x - a) \)

Thus:

\( y - (-4) = 2(x - (-1)) \)

\( y + 4 = 2(x + 1) \)

✔️Equation of the line in slope-intercept form, y = mx + b

Where,

m = slope = 2

b = y-intercept = -2 (the point where the line intercepts the y-axis)

Thus, substitute m = 2 and b = -2 into y = mx + b

y = 2x + (-2)

y = 2x - 2

The area of the shaded region is equal to 32.44 m²

The unshaded region is circle with a radius of 2 m, so to get the area of the shaded region, we subtract the area of the circle from the area of the rectangle as follows:

area of rectangle = 9 m × m = 45 m²

area of the circle = 22/7 × 2m × 2m

area of the circle = 12.56 m²

area of the shaded region = 45 m² - 12.56 m²

area of the shaded region = 32.44 m²

Therefore, the area of the shaded region is equal to 32.44 m².

Know more about area here:https://brainly.com/question/14137384

#SPJ1

Answer:

is the option a) x^6y^5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

exponents are just a shortcut for telling you how many times something is being multiplied by itself

so that expression is really

\(x \times x \times y \times y \times y \times x \times x \times x \times x \times y \times y\)

\(x \times x \times x \times x \times x \times x = {x}^{6} \)

\(y \times y \times y \times y \times y = {y}^{5} \)

\( {x}^{6} {y}^{5} \)

The energy is compared based on the information given below.

Energy released by burning 1 kilogram of element A = EA = 5.1 * (10)8

Energy released by fission of hydrogen in 1 kilogram of element B = EB = 1.3 * (10)10

Therefore,

Ratio = EB / EA = 1.3 * (10)10 / 5.1 * (10)8 = 25

Thus, the fission of 1 kg of element B releases 25 times as much energy as burning 1 kilogram of element A.

Learn more about energy on:

https://brainly.com/question/13881533

#SPJ1

The other part of the question:

Energy released by burning 1 kilogram of element A = 5.1 times 10 Superscript 8

Energy released by the fission of hydrogen in 1 kilogram of element B = 1.3 times 10 Superscript 10

The probability of drawing a red ball is

\(\dfrac{\dbinom 31 \dbinom 20}{\dbinom 51} = \dfrac35\)

Since we are replacing each ball as it's drawn, this probability stays the same. So \(X\) follows a binomial distribution with \(n=2\) draws and success probability \(p=\frac35\), and so

\(\mathrm{Pr}(X = x) = \begin{cases} \dbinom2x \left(\dfrac35\right)^x \left(1 - \dfrac35\right)^{2 - x} & \text{if } x \in\{0,1,2\} \\\\ 0 & \text{otherwise}\end{cases}\)

This is a valid PMF, since by the binomial theorem,

\(\displaystyle \sum_x \binom 2x \left(\dfrac35\right)^x \left(1 - \dfrac35\right)^{2-x} = \sum_{x=0}^2 \binom 2x \left(\dfrac35\right)^x \left(1 - \dfrac35\right)^{2-x} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~= \left(\dfrac35 + \left(1 - \dfrac35\right)\right)^2 \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = 1^2 = 1\)

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

To learn more about median click :

https://brainly.com/question/28687994

#SPJ1

Answer:

{2, 2.0625, 2.25, 2.5625, 3}

Step-by-step explanation:

To find the range we can simply plug in the values of the domain and solve for the range. (The domain is the x-values)

Assuming x2 means x^2, we can plug in 0, 0.25, 0.75, 0.5, and 1 for x

0^2+2=2

0.25^2+2=0.0625+2=2.0625

0.5^2+2=0.25+2=2.25

0.75^2+2=0.5625+2=2.5625

1^2+2=1+2=3

Thus, the range is {2, 2.0625, 2.25, 2.5625, 3}