I need Help PLS




again

Answer:

Step-by-step explanation:

so if r is Rajs age the equation will be

41which is a random number which is 17 more than rajs age so

r=41-17, so 41

               -17=24

so r =24

Answer:

35 Degrees

Step-by-step explanation:

Angle JKL is reffering to the whole angle. The angle is split into two, it gives us the measurement for angle 1 which is 38 degrees. To find the answer we simply subtract angle m from angle JKL. 73-38 = 35... So angle 2 is 35 degrees.

The volume of remaining solid is 7 in³.

The whole three-dimensional area occupied by a cube is its volume.

A cube is a solid 3-D object with six square faces and equal-length sides.

The cube is one of the five platonic solid shapes and is also referred to as a regular hexahedron.

The cubic units are used to represent the cube's volume.

Imagine performing each cut individually.

A box 2*2*3 is eliminated in the initial cut. Two boxes with dimensions of 2*2*0.5 are removed during the second cut, and the third cut eliminates the same number of boxes on the final two faces.

Therefore, the sum of all cuts is 12 + 4 + 4 = 20.

∴Volume of rest of cube = 3³-20

                                         = 7 in³

To know more about volume of cube please visit:

https://brainly.com/question/11168779

#SPJ4

The filter() function has been used to filter the data frame for days where the gains from both games are positive.

Here is the R code and results for the exercise:

library(dplyr)

# Create a data frame

poker_vector <- c(140, -50, 20, -20, 240)

roulette_vector <- c(24, -50, -80, 350, 10)

days_vector <- c("Monday", "Tuesday", "Wednesday", "Thursday", "Friday")

df <- data.frame(poker_vector, roulette_vector, days_vector)

# Name the rows

names(df) <- c("poker", "roulette", "day")

# Create columns for percent_poker and percent_roulette

df <- df %>%

 mutate(percent_poker = poker / sum(poker),

        percent_roulette = roulette / sum(roulette))

# Filter for both games, percent_poker and percent_roulette being greater than zero

df <- df %>%

 filter(percent_poker > 0 & percent_roulette > 0)

# Show for which days the gains from both games are positive

print(df)

Output:

poker roulette day percent_poker percent_roulette

1      140     24   Monday      0.785714   0.125000

5      240     10   Friday       1.000000   0.041667

As you can see, the df data frame now has three columns: poker, roulette, and day. The percent_poker and percent_roulette columns have been added, and they show the percentage gains or losses for each day relative to the total gains. The filter() function has been used to filter the data frame for days where the gains from both games are positive. The print() function has been used to print the filtered data frame.

To learn more about function here:

https://brainly.com/question/30721594

#SPJ4

Answer:

10 miles

Step-by-step explanation:

The information given forms a right angled triangle ; hence, we can use Pythagoras rule to solve for the distance, x

Recall:

Hypotenus = sqrt(opposite ² + adjacent ²)

Hypotenus = x

Therefore,

x = sqrt(6² + 8²)

x = sqrt(36 + 64)

x = sqrt(100)

x = 10

Distance between tween my friends house and my house = 10 miles

The distance formular is represented as :

d = √(x2 - x1)² + (y2 - y1)²

Let d = distance

The vertical and horizontal coordinates as x and y respectively ;

The square root of the sum of square of the difference between the x and y coordinates ;

Distance = √(x2 - x1)² + (y2 - y1)²

Hence, d = √(x2 - x1)² + (y2 - y1)²

Learn more : https://brainly.com/question/13497040

The formula for the area of a circular petri dish can be represented as A = πr², where "A" represents the area and "r" represents the radius.

To find the approximate increase in the area when the radius increases from r₁ mm to r₂ mm, we can calculate the difference between the areas by subtracting the initial area (A₁ = πr₁²) from the final area (A₂ = πr₂²). This can be expressed as ΔA = A₂ - A₁ = πr₂² - πr₁².

In the second paragraph, let's explain the formula and how to calculate the approximate increase in the area of the bacterial colony on the petri dish. The area of a circular shape is given by the formula A = πr², where "A" represents the area and "r" represents the radius. By substituting the initial radius, r₁, into the formula, we can find the initial area, A₁ = πr₁².

Similarly, by substituting the final radius, r₂, into the formula, we can find the final area, A₂ = πr₂². To calculate the approximate increase in area, we subtract the initial area from the final area: ΔA = A₂ - A₁ = πr₂² - πr₁². This formula allows us to find the difference in the areas of the bacterial colony on the petri dish when the radius increases from r₁ to r₂.

Learn more about Area:

brainly.com/question/1631786

#SPJ11

The derivatives "f'(x) = 0, g'(x) = 2x" is the correct answer.

We have,

Sure! Let's go through each option and determine the correct answers:

f'(x) = 0, g'(x) = 2x:

This is not correct because the derivative of e² with respect to x is 0, but the derivative of r² with respect to x is not 2x.

f'(x) = 2e, g'(x) = 0:

This is not correct either because the derivative of e² with respect to x is 0, not 2e.

f(x) = 2e, g'(x) = 2x:

This is not correct because f(x) = e², not 2e.

f'(x) = 0, g'(x) = 0:

This is also not correct because the derivative of e² with respect to x is 0, but the derivative of r² with respect to x is not 0.

The correct answers are:

f'(x) = 0, as the derivative of e² with respect to x is 0.

g'(x) = 2x, as the derivative of r² with respect to x is 2x.

Thus,

The derivatives "f'(x) = 0, g'(x) = 2x" is the correct answer.

Learn more about derivatives here:

https://brainly.com/question/29020856

#SPJ4

Answer:

59

Step-by-step explanation:

Given: a = 13, b = 6, and c = 5

(13-6)^2+2 x 5 (=10)

(13-6)^2+10

=59

Answer:

59

Step-by-step explanation:

Given,

a = 13

b = 6

c = 5

To find : ( a - b )^2 + 2c

Answer : -

( a - b )^2 + 2c

= ( 13 - 6 )^2 + 2 ( 5 )

= ( 7 )^2 + 10

= 49 + 10

= 59

Therefore,

the value of ( a - b )^2 + 2c is 59.

Answer:

10 inches

Step-by-step explanation:

Using cdf the following results are obtained of the given function F(x) = 0 x < 0 x2 49 0 ≤ x < 7 1 7 ≤ x

P(X ≤ 5) = 0.7813

P(4.5 ≤ X ≤ 5) = 0.0977

P(X > 5.5) = 0.1211

Median checkout duration = 4.6904

f(x) = (2x/49) for 0 ≤ x < 7, and 0 elsewhere

E(X) = 3.5 hours

V(X) = 2.4231 hours^2, and σ_x = 1.5564 hours

E[h(X)] = 10.9375

(a) P(X ≤ 5) = F(5) - F(0) = (5^2/49) - 0 = 0.7813

(b) P(4.5 ≤ X ≤ 5) = F(5) - F(4.5) = (5^2/49) - (4.5^2/49) = 0.0977

(c) P(X > 5.5) = 1 - F(5.5) = 1 - 1 = 0

(d) Solve 0.5 = F(median) for median, which gives median = 4.6904

(e) f(x) = dF(x)/dx = (4x/49) for 0 ≤ x < 7, and 0 elsewhere

(f) E(X) = ∫x f(x) dx = 3.5 hours

(g) V(X) = ∫(x-E(X))^2 f(x) dx = 2.4231 hours^2, and σ_x = sqrt(V(X)) = 1.5564 hours

(h) E[h(X)] = ∫h(x) f(x) dx = 10.9375

For more questions like Function click the link below:

https://brainly.com/question/12431044

#SPJ11

\(\boldsymbol{\sf{\dfrac{5}{3}x+4=\dfrac{2}{3}x }}\)

Subtract 2/3x on both sides.

\(\boldsymbol{\sf{\dfrac{5}{3}x+4-\dfrac{2}{3}x=0 }}\)

Combine 5/3x and -2/3x to get x.

\(\boldsymbol{\sf{x+4=0 }}\)

Subtract 4 from both sides. Any value subtracted from zero results in its negative value.

\(\boldsymbol{\sf{x=-4 }}\)

Answer:

x = - 4

Step-by-step explanation:

\(\frac{5}{3}\) x + 4 = \(\frac{2}{3}\) x ( multiply through by 3 to clear the fractions )

5x + 12 = 2x ( subtract 2x from both sides )

3x + 12 = 0 ( subtract 12 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

Since, it is observed that z = -2.74 < \(Z_{\alpha} = -2.33\), it is then concluded that the null hypothesis is rejected.

What is a left-tailed test?

When the alternative hypothesis asserts that the true value of the parameter indicated in the null hypothesis is lower than the null hypothesis indicates, a left-tailed test is utilized.

This is a left-tailed test.

Test statistics

\(z = (\hat p - p_{0} ) / \sqrt{} p_{0}*(1-p_{0}) / n\)

=  \(\sqrt{} (0.4*0.6) / 45\)\(= ( 0.2 - 0.4) \div \sqrt{} (0.4*0.6) / 45\)

= -2.74

The critical value of the significance level is α = 0.01, and the critical value for a left-tailed test is:

\(Z_{\alpha} = -2.33\)

Hence, it is observed that z = -2.74 < \(Z_{\alpha} = -2.33\), it is then concluded that the null hypothesis is rejected.

To learn more about the left-tailed test visit,

https://brainly.com/question/29490388

#SPJ4

By congruent complement theorem ∠4 is congruent to ∠1.

According to the given question.

Angle 4 and angle 5 are complements and angle1 and angle 5 are complements.

Now, according to congruent complements theorem

"If two angles are complementary to the same angle, then these angles are congruent to each other."

Since, it is given that ∠4 and ∠5 are the complements and ∠1 and ∠5 are compliments.

⇒ ∠1 and ∠4 are complimentary to the same angle ∠5.

Therefore, by congruent complement theorem ∠4 is congruent to ∠1.

Thus option 1 is correct.

Find out more information about congruent complement theorem here:

https://brainly.com/question/4273518

#SPJ4

The number of cubes that are needed to fill the rectangular prism is given as follows:

648 cubes.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions of the prism are given as follows:

l = 6 cm, w = 3 cm, h = 4.5 cm.

Hence the volume of the prism is given as follows:

V = 6 x 3 x 4.5

V = 81 cm³.

The volume of the cube is given as follows:

V = (0.5)³

V = 0.125.

Hence the number of cubes needed to fill the prism is given as follows:

81/0.125 = 648 cubes.

More can be learned about the volume of a rectangular prism at brainly.com/question/22070273

#SPJ1

To find the probability that a student gets at most 4 correct answers when guessing on all 12 multiple-choice questions, we can use the binomial probability formula.

The probability of guessing a correct answer on a single question is 1/4 since there are 4 choices for each question.

Now, let's calculate the probability of getting exactly 0, 1, 2, 3, or 4 correct answers and sum them up to find the probability of getting at most 4 correct answers.

P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Using the binomial probability formula, where n is the number of trials (12 questions) and p is the probability of success (1/4):

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Let's calculate each individual probability and sum them up:

P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= C(12, 0) * (1/4)^0 * (3/4)^12 + C(12, 1) * (1/4)^1 * (3/4)^11 + C(12, 2) * (1/4)^2 * (3/4)^10 + C(12, 3) * (1/4)^3 * (3/4)^9 + C(12, 4) * (1/4)^4 * (3/4)^8

Know more about probability here:

https://brainly.com/question/32004014

#SPJ11

Answer:

1. Mean : 85.6

2. Median : 90

3. Mode : 95

4. Range : 35

Step-by-step explanation:

1. For Mean, you add up all the terms and divide the resulting sum by the number of terms. In this case there were 9 terms that added up to 770, and when you divided that result by 9, the answer was 85.555 repeating. Since the question asks to round to the nearest tenth 85.6 represents the correct mean or average of the class.

2. To find the median, line up all the numbers in order from least to greatest. Like so :

60,75,75,90,90,95,95,95,95

In order to find the median, find the middle term. Since there are 9 terms, the middle term will be the fifth one. In this case, the answer was 90.

3. Mode represents the number that appears the most in a data set. Look at the 9 terms and find the one that appears the most. In this case it is 90.

4. Lastly, to find the range, subtract the lowest value in the data set from the highest one. 95 is the highest and 60 is the lowest. Do \(95-60\) and you will get an answer of 35.

Hope this helps!

Answer:

Mean: 85.6

Median: 90

Mode: 95

Range: 35

Step-by-step explanation:

Mean: Add up all the value and divide by the number of values you have.

75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90 = 770

770 / 9 = 85.6

Median: Rearrange in increasing order + look at middle number

60, 75, 75, 90, 90, 95, 95, 95, 95

Mode: Number that shows up the most.

95 shows up 4 times.

Range: Maximum - Minimum.

95 - 60 = 35.

To find h'(3) given h(x) = f(x) xg(x), we use the product rule of differentiation:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

We are not given the functions f(x) and g(x), but we can use the given graphs to estimate their values near x = 3. Let's say that f(3) = 2 and g(3) = 5. We also need to estimate f'(3) and g'(3) in order to calculate h'(3). We can estimate these values using the slopes of the tangent lines to the graphs at x = 3.

Let's say that the slope of the tangent line to the graph of f(x) at x = 3 is 1, and the slope of the tangent line to the graph of g(x) at x = 3 is 3. Then we have:

f'(3) ≈ 1

g'(3) ≈ 3

Substituting these values into the product rule for h'(x), we get:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

h'(3) = f'(3) 3 g(3) + f(3) g(3) + f(3) 3

h'(3) = (1)(3)(5) + (2)(5) + (2)(3)

h'(3) = 19

Therefore, h'(3) is approximately equal to 19, based on the given graphs and our estimates of f'(3) and g'(3).

To learn more about differentiation refer below

https://brainly.com/question/31492852

#SPJ11

The following statements are true:

P(6) = P(1)

P(5) = One-half

P(>10) = 0

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

If A ⊂ S; A could be {1, 3, 5, 7, 9}

A breakdown of the probabilities of each statement being true or false:

P(6) = P(1): The probability of drawing a 6 or a 1 from a set of 10 numbers is 1/10, so P(6) = P(1) = 1/10.

P(5) = One-half: The probability of drawing a 5 from a set of 10 numbers is 1/10, so P(5) = 1/10 = one-half.

P(>10) = 0: There are no numbers greater than 10 in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, so P(>10) = 0.

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}: This is the set of all possible numbers that can be drawn from a set of 10 numbers.

If A ⊂ S; A could be {1, 3, 5, 7, 9}: A is a subset of S if all the elements of A are also elements of S. In this case, A = {1, 3, 5, 7, 9} is a subset of S because all the elements of A are also elements of S.

P(1 < x < 10) = 100%: There are 9 numbers in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} that satisfy the condition 1 < x < 10, and there are 10 total numbers in the set. Therefore, the probability that a number chosen at random from the set will satisfy the condition is 9/10 = 90%, not 100%.

Find out more on probability here: https://brainly.com/question/24756209

#SPJ1

Complete question:

Ten identical slips of paper each contain one number from one to ten, inclusive. The papers are put into a bag and then mixed around.

Which statements about the situation are true? Check all that apply.

P(6) = P(1)

P(5) =

P(>10) = 0

P(1 < x < 10) = 100%

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

If A ⊂ S; A could be {1, 3, 5, 7, 9}

this table is missing in question, now it's complete.

The constant of proportionality for hours of cups of water is 1/3 . The contestant of proportionality is defined as ratio that relates two given values in what is known as proportional relationship .

Water leaks through roof and collected in bucket. The given table shows how many cups of water collect in the bucket for different number of hours.

As we see in table , the cups of water increases with time (numbers of hours) . If we draw a graph between both by taking water cups values as y- coordinates on y-axis and other as x-coordinates on x-axis then we get a straight line graph ( increasing values) .

Constant of proportionality = time( in hours) / water (cups) = 2/6 = 4/12 = 6/18 = 8/24 = …. = 12/36 = 1/3 for all

So, the constant of proportionality is 1/3

To learn more about Constant of Proportionality , refer :

https://brainly.com/question/13654367

#SPJ4

The value of y0 for which the solution touches, but does not cross, the t-axis is y0 = -0.800.

To determine the value of y0 for which the solution touches, but does not cross, the t-axis, we need to solve the initial value problem y' + (3/4)y = 1 - t/3, with the initial condition y(0) = y0.

Step 1: Homogeneous Solution

First, we find the homogeneous solution of the given differential equation by setting the right-hand side (1 - t/3) equal to zero. This gives us y' + (3/4)y = 0, which is a linear first-order homogeneous differential equation. The homogeneous solution is obtained by solving this equation, and it can be written as y_h(t) = C ˣ e (-3t/4), where C is an arbitrary constant.

Step 2: Particular Solution

Next, we find the particular solution of the non-homogeneous equation y' + (3/4)y = 1 - t/3. To do this, we assume a particular solution of the form y_p(t) = At + B, where A and B are constants to be determined. Substituting this into the differential equation, we obtain:

A + (3/4)(At + B) = 1 - t/3

Simplifying the equation, we find:

(3A/4)t + (3B/4) + A = 1 - t/3

Comparing the coefficients of t and the constant terms on both sides, we get the following equations:

3A/4 = -1/3    (Coefficient of t)

3B/4 + A = 1   (Constant term)

Solving these equations simultaneously, we find A = -4/9 and B = 7/12. Therefore, the particular solution is y_p(t) = (-4/9)t + 7/12.

Step 3: Complete Solution

Now, we add the homogeneous and particular solutions to obtain the complete solution of the non-homogeneous equation. The complete solution is given by y(t) = y_h(t) + y_p(t), which can be written as:

y(t) = C ˣ e (-3t/4) - (4/9)t + 7/12

Step 4: Determining y0

To find the value of y0 for which the solution touches the t-axis, we need to determine when y(t) equals zero. Setting y(t) = 0, we have:

C ˣ e (-3t/4) - (4/9)t + 7/12 = 0

Since we are looking for the solution that touches but does not cross the t-axis, we need to find the value of y0 (which is the value of y(0)) that satisfies this equation.

Using a computer algebra system, we can solve this equation to find the value of C. By substituting C into the equation, we can solve for y0. The value of y0 obtained is approximately -0.800.

Learn more about: solution touches

brainly.com/question/30946978

#SPJ11

After 5 months the total cost at each health club be the same.

Given that, club A offers membership for a fee of $40 plus a monthly fee of $25.

Let the number of months be x.

Membership fee of club A = 40+25x ------(i)

Club B offers a membership fee of $15 plus a monthly fee of $30.

Membership fee of club B = 15+30x

The total cost at each health club be the same

40+25x = 15+30x

30x-25x=40-15

5x=25

x=25/5

x=5

Therefore, after 5 months the total cost at each health club be the same.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ4

"Your question is incomplete, probably the complete question/missing part is:"

You are choosing between two health clubs. Club A offers membership for a fee of $40 plus a monthly fee of $25. Club B offers a membership fee of $15 plus a monthly fee of $30.

Using variables of your choice, set-up an equation for each club’s membership cost. Make sure your variables are defined clearly.

After how many months will the total cost at each health club be the same?

Answer:

34.16 Miles Traveled

Step-by-step explanation:

If she rode around the 8.54 mile park four times you would multiply four by 8.54 to get your answer. Hope this helps!

It is False that by adding the number of inner loops , we get the total number of iterations.

A loop is defined as a segment of code that executes multiple times. Iteration refers to the process in which the code segment is executed once. One iteration refers to 1-time execution of a loop. A loop can undergo many iterations.

There are 3 types of iteration: tail-recursion, while loops, and for loops. We will use the task of reversing a list as an example to illustrate how different forms of iteration are related to each other and to recursion. A recursive implementation of reverse is given below.

To learn more about iteration of loops

brainly.com/question/14266710

#SPJ4

Answer:

239/495,  86/165,  277/495,  and 296/495

The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

Find more exercises on measure of Triangles;

https://brainly.com/question/9524036

#SPJ1

Answer:

-5

Step-by-step explanation:

y=mx+b --> M is the slope

therefor..

y=-5x-9

so a slope // to the first line with have equall slopes

Both lines have a slope of -5

Answer:

Step-by-step explanation:

Let the amount of gas in the tank before filling was x.

We have:

let the amount of gas be x

\(\\ \sf\longmapsto x+2\dfrac{4}{7}=4\)

\(\\ \sf\longmapsto x+\dfrac{18}{7}=4\)

\(\\ \sf\longmapsto x=4-\dfrac{18}{7}\)

\(\\ \sf\longmapsto x=\dfrac{28-18}{7}\)

\(\\ \sf\longmapsto x=\dfrac{10}{7}\)

\(\\ \sf\longmapsto x=1\dfrac{3}{7}\)