a traffic light is red for 25 seconds, yellow for 5 seconds, and green for 55 seconds. what is the probability that when you reach the light, a) the light is green b) the light is yellow c) the light is not red d) the light is not green

Answer:

(49 + 28) divided by 2

Step-by-step explanation:

(49 + 28) divided by 2

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The 95% confidence interval for the slope of the regression line in this case is 0.74 ± 0.242.

To calculate the confidence interval for the slope of the regression line, we need to consider the standard error of the slope (sb) and the critical value associated with the desired confidence level.

Given that the standard error of the slope (sb) is 0.11, we can calculate the critical value using the t-distribution with a confidence level of 95% and degrees of freedom equal to the number of observations minus the number of variables in the regression (12 - 2 = 10).

Looking up the critical value in the t-distribution table or using a statistical calculator, the critical value for a 95% confidence level with 10 degrees of freedom is approximately 2.228.

The margin of error for the slope can be calculated by multiplying the critical value by the standard error: 2.228 * 0.11 = 0.245.

Therefore, the 95% confidence interval for the slope is 0.74 ± 0.245. This means we are 95% confident that the true slope of the regression line falls within the range of 0.495 to 0.985.

Among the options provided, the closest match is option (b): 0.74 ± 0.242.

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The required 3 numbers that when rounds to give 54.5 are 54.49, 54.48, and 54.47.

Given that,

3 numbers that when rounded to 54.5 when rounded to the nearest tenth are rounded to 54.5.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
The required number is given as, the last three numbers which is tending to number 54.5, that is 54.49, 54.48, and 54.47.

Thus, the required 3 numbers that when rounds to give 54.5 are 54.49, 54.48, and 54.47.

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Answer:

x=−5

Step-by-step explanation:

−4(2x+7)=−3(x+1)

(−4)(2x)+(−4)(7)=(−3)(x)+(−3)(1)(Distribute)

−8x+−28=−3x+−3

−8x−28=−3x−3

−8x−28+3x=−3x−3+3x

−5x−28=−3

−5x−28+28=−3+28

−5x=25

−5x/−5=25/−5

x=−5

Answer:

143

Step-by-step explanation:

Answer:143

Step-by-step explanation:

it is 143 if you add 65+78

The point at which the perpendicular bisectors intersect in a triangle is called the circumcenter. The circumcenter is the center of the circumcircle, which is a circle that passes through all three vertices of the triangle.

It is the center of the circle that is tangent to each side of the triangle. The circumcenter is equidistant from each vertex of the triangle and can be calculated by finding the intersection of the perpendicular bisectors of the triangle. The perpendicular bisectors of a triangle are lines that pass through the midpoints of the sides of the triangle and are perpendicular to the sides.

The circumcenter is important in triangle geometry because it helps to define the triangle and its properties. Knowing the circumcenter of a triangle can be useful in finding the triangle's area, medians, altitudes, and angle bisectors.

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Answer:

p=32/15 pounds

Step-by-step explanation:

Step 1: Write the correct equation. Inverse variation problems are solved using the equation y=k/x. In this case, you should use v and p instead of x and y. y=k/x---> v=k/p  

Step 2: Use the information given in the problem to find the value of k. In this case, you need to find k when v = 32 and p = 4. 32=k/4 128=k

Step 3: Rewrite the equation from step 1 substituting in the value of k found in step 2. v=128/p  

Step 4: Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. In this case, you need to find p when v = 60.  

60=128/p    60p=128           p=32/15 pounds

Answer:

688.7

Step-by-step explanation:

Top and Bottom

Area = 3/4 * pi * r^2

r = 6

Area = 3/4 * 3.14 * 6^2

Area =                                                               84.78

Don't round yet.

Vertical surface

Vertical surface = 3/4 * pi * d * h

d = 12 inches (the diameter)

Vertical surface = 3/4 * 3.14 * 12 * 15

Vertical surface =                                          423.9

Two inner faces

They are both rectangles

Area = 2 * L * W

L = 15

w=6

Area = 2 * 15 * 6                                            180

Total                                                               688.68

Total = 688.7

Answer:

$612

Step-by-step explanation:

Each side of the square garden is 17 meters, and fencing costs $9 per meter. "Around" is the key word, as it indicates perimeter. So, we just need to account for each side of the garden, and not the entirety of the garden. So,

17 · 9 = 153

This means that to cover one side of the garden, it would cost $153. Now, we just need to account for all sides of the garden.

153 x 4 = 612

Answer:

The answer would be 612$ to put a fence around the garden

or 153 for 17 meters

Step-by-step explanation:

I believe that it is 612 because it says sides

let me know if it is correct

Answer: Its 39x + 45

Step-by-step explanation:

yes

Answer:

a repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal is a rational number.

Answer:

repeating decimals are rational becoz they can be written in the form p/q

Step-by-step explanation:

Answer:

40% increase

Step-by-step explanation:

63/45 = 1.4 = 140%

63 is 140% of 45 meaning it is a 40% increase

The percent increase in Marcus' salary is 40% as per percentage calculation.

"Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%."

Given, Marcus has a current job that pays $45 per day.

From yesterday, he is getting $63 per day.

Therefore, the increase in daily salary = $(63-45) = $18.

Therefore, the percentage increase of his daily salary = (18/45) × 100 = 40%.

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Answer:

y = x + 1

Step-by-step explanation:

You can immediately read off the y-intercept from the graph:  (0, 1).  The slope of this line is negative.  Choosing two different points on this line leads to finding the slope of the line:  (0, 1) and (2, -1)  Going from the first point to the other, we see that x (the run) increases by 2 and y(the rise) decreases by 2.  Thus, the slope is m = rise/run = 2/2 = 1.

The slope-intercept equation of this line is therefore y = x + 1.

Answer:

y=-1x+1

Step-by-step explanation:

To find the slope, we can use rise (vertical) over run (horizontal).

m=rise/run

We can see that from the first point to the second point,  x increased by 2 and y decreased by 2.

The rise is -2 and the run is 2.

m=2/-2=-1.

The slope is -1.

Now let's find the y-intercept (the point where x=0, or where the line crosses the y-axis.)

This point is at (0,1), so b=1.

The y-intercept is 1.

This is the format for slope-intercept form: y=mx+b.

The slope-intercept equation is y=-1x+1.

Answer:

Step-by-step explanation:

Given,

The marked price of a jacket at dealer shop is Rs. 2400

The dealer allows a discount of 15% to the retailer.

The marked price of the retailer should be same as the dealer's marked price.

To find,

1. SP the retailer should fix for the jacket

2. Its final price if 10% VAT is imposed

3. The actual gain of the retailer if 10% discount is allowed

Solution,

The SP rate for the jacket without VAT 2400

Let 10% VAT on jacket price 2400 be x

x= 2400÷10

x= 240

So, the final price including 10% VAT = 2640 (2400+240)

As the dealer allowed discount of 15% to the retailer, the retailer gain profit is 15% on the jacket price i.e., 2400

Let y be the gain of the retailer

y= 15/100 × 2400

y= 360

Therefore,

SP the retailer should fix for the jacket is 2400

final price if 10% VAT is imposed is 2640

the actual gain of the retailer is 360

Answer:

Ahmed got 390 votes

Step-by-step explanation:

Here, we want to know the number of votes obtained by Ahmed

from the question, there were 900 registered voters

10% did not cast their votes

The number that didn’t cast their votes will be;

10% of 900

= 10/100 * 900 = 90

So the rest 90% casted and this value will be 900-90 = 810

810 people casted their votes

30 votes were spoilt;

The number of valid votes is thus;

810 - 30 = 780

Ahmed got a ratio of 3 in 3:2:1

The total value here is 3 + 2 + 1 = 6

So what Ahmed got will be;

3/6 * 780

= 780/2 = 390

Answer: the first one is the correct answer sir, I hope I helped you out a bit.

Step-by-step explanation:

Answer: v= 3/2 or v= 9

Step-by-step explanation: step 1) Simplify both sides of the equation > 2v^2 +21v-27=0

Step 2) Factor left side of equation > (-2v + 3) (v-9) =0

Step 3) Set factors equal to 0 > -2+3=0 or -9=0

                    v=3/2 or V=9

The food percentage would be 19%, 51% and 30%.

Given that we've done it

Number of meals consumed by X = 57

Food consumed by Y = 153.

Number of meals consumed by Z = 90

Total amount of meals consumed = 57 + 153 +90 = 300

Food proportion of flock X thus Equals 57 / 300 * 100 = 19 %

flock food percentage Y =153/300 * 100 = 51 %

flock food percentage Z = 90/300 * 100 = 30 %

This means that the percentages are 19%, 51%, and 30%.

Based on the given information, we have:

Flock X ate 57 pieces of food.

Flock Y ate 153 pieces of food.

Flock Z ate 90 pieces of food.

The total number of pieces of food eaten is 300 (sum of the individual flock's food).

The food percentage for Flock X is 57/300 ≈ 0.19 or 19%.

The food percentage for Flock Y is 153/300 ≈ 0.51 or 51%.

The food percentage for Flock Z is 90/300 = 0.3 or 30%.

The total number of birds for the second generation is 30 (given).

To find the simulated number of birds in each flock for the second generation, we multiply the food percentage for each flock by the total number of birds (30).

For Flock X: 0.19 × 30 = 5.7 (rounded to the nearest whole number: 6 birds)

For Flock Y: 0.51 × 30 = 15.3 (rounded to the nearest whole number: 15 birds)

For Flock Z: 0.3 × 30 = 9 (rounded to the nearest whole number: 9 birds)

Therefore, the simulated number of birds in Flock X, Flock Y, and Flock Z for the second generation are 6, 15, and 9 birds, respectively.

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Complete Question

Flock X Flock Y Flock z Total Pieces of Food Eaten 57 153 90 Food Percentage* % 1% % Simulated Number of Birds in Flock for 2nd Generation ** * Divide each flock's total pieces of food by 300, the total number of pieces of food eaten. ** Multiply the food percentage for each flock by the total number of birds (30). DONE

Answer:

19 51 30

6 15 9

second part Is Y then X

Step-by-step explanation:

The probability that the student makes it to the second class before it starts is very close to 0.

To find the probability that the student makes it to the second class before it starts, we can use the concept of linear combinations of random variables and the properties of normal distributions.

Let's define the random variable X as the total time it takes for the student to transition from the end of the first class to the start of the second class. Since X is a linear combination of independent normally distributed random variables (X1, X2, X3), we can use their means and variances to calculate the mean and variance of X.

The mean of X is the sum of the means of X1, X2, and X3:

μX = μ1 + μ2 + μ3 = 9:02 + 9:15 + 10 = 28:17 minutes.

The variance of X is the sum of the variances of X1, X2, and X3:

σX^2 = σ1^2 + σ2^2 + σ3^2 = (2.5)^2 + (3)^2 + (2.5)^2 = 15.25 minutes^2.

Now, we need to calculate the probability that X is less than or equal to 0, meaning the student arrives before the second lecture starts. Since X follows a normal distribution, we can standardize the variable and calculate the probability using the standard normal distribution table.

Z = (0 - μX) / σX = (0 - 28:17) / √15.25 ≈ -9.43.

Using the standard normal distribution table or a calculator, we can find the probability corresponding to Z = -9.43. The probability is essentially 0, as the value is significantly far in the left tail of the standard normal distribution.

Therefore, the probability that the student makes it to the second class before it starts is very close to 0.

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Answer:

Common factor

Difference of cubes

Sum of cubes

Difference of squares

Step-by-step explanation:

Answer: A, B, C, and D

common factor

difference of cubes

sum of cubes

difference of squares

The expression represents the amount of tip, that Nina will give, when she has a positive experience eating a meal that cost n dollars is \(0.18n\). Hence the option A is the correct option.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The  algebraic expression are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

Given information-

The tip given by the the Nina is 18 percent.

The cost of food is \(n\) dollars.

Here the Nina gave the tip of 18 percent. This 18 percent is the percentage of total cost of the food.

Let \(f(n)\) is the required expression.

As the the cost of food is \(n\) dollars. Thus the 18 percent of \(n\) dollars is,

\(f(n)=\dfrac{18}{100} \times n\\f(n)=0.18n\)

Thus the expression represents the amount of tip, that Nina will give, when she has a positive experience eating a meal that cost n dollars is \(0.18n\). Hence the option A is the correct option.

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Answer: 140

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

Khan academy answer

The distance from home plate to second base is 180 feet, which is double the distance from home plate to first base.

A baseball diamond is a square with four bases, with home plate in the middle. 90 feet separate first base from home plate, and 90 more feet separate first base from second base. Therefore, the total distance from home plate to second base is twice that distance, or 180 feet. The same applies to all of the bases; the distance between them is always 90 feet, so the total distance from home plate to any base is twice that of the distance from home plate to first base. This means that the distance from home plate to second base, third base, and home plate is all 180 feet.

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Answer:

Step-by-step explanation:

51+90=141.3

180-141.3=38.7

90+38.7+51.3

So 4 and a number equal 90 degrees.

51.3 degrees are the number of 4 and c^2

We can use the Pythagorean theorem to find out that a^2 is 16

16 and b^2 will equal c^2 or the missing angle for 51.3 degrees.

a=51.3

b=90 meaning it has a 38.7 more of an angle than the 4 on the bottom.

Meaning it will be 7.02

7.02+4=11.02

Answer:

1/t^72

Step-by-step explanation:

this is in the simplest form

Marble: 2/7

Dice: 2/6 = 1/3

There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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Answer: Can you Please Provide The Table?

Then I am Sure I can Get You 100% On this question.

Answer:

48 different breakfast platters

Step-by-step explanation:

Hope this helps!

Answer: 54 Coins are not nickel( 16+14+24)

n= 74 - non nickel

n= 74- (penny+ dime+ quarter)

n= 74- (16+14+24)

Step-by-step explanation:

The number of ways that there are for her to plan her schedule of menus for the 20 school days, with no restrictions, using the Fundamental Counting Theorem, is of:

10^20.

The Fundamental Counting Theorem states that if there are n independent trials, each with \(n_1, n_2, \cdots, n_n\) possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial as presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem, we have that:

Then the number of different meals is obtained as follows:

N = 10^20.

As there are 20 trials, each with 10 possible outcomes.

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