3÷x-1-3÷x+1=4 solve this equation in in quadratic equation
​

Answer:

(0,-9) and (3,0)

Step-by-step explanation:

Answer:

 0

Explanation:

Given expression:

\(\sf 6 - (1 \times 4) -2\)

Use BODMAS method:

brackets, order, division, multiplication, addition, subtraction

First simplify variables inside brackets

\(\sf 6 - (4) -2\)

Then simply use subtract integers

\(\sf 0\)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's get it done using Bodmas Rule ~

\(\qquad \sf  \dashrightarrow \: 6 - (1 \times 4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - (4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - ( 4 + 2)\)

\(\qquad \sf  \dashrightarrow \: 6 - 6\)

\(\qquad \sf  \dashrightarrow \: 0\)

We will get the end result 0, on simplification ~

After answering the presented question, we can conclude that probability Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.

Sketch of exponential probability distribution with mean of 12 seconds:

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   |_____________. . . . . . .

        0       12             X

The X-axis represents the time between vehicle arrivals, and the Y-axis represents the probability density. The peak of the distribution is at 12 seconds, which is the mean.

b. Probability of the arrival time between vehicles being 12 seconds or less:

Since the mean of the exponential distribution is 12 seconds, we can use the cumulative distribution function (CDF) to find the probability of the arrival time being 12 seconds or less:

\(P(X < = 12) = 1 - e^(-12/12) = 1 - e^(-1) ≈ 0.6321\)

Therefore, the probability of the arrival time between vehicles being 12 seconds or less is approximately 0.6321.

c. Probability of the arrival time between vehicles being 6 seconds or less:

\(P(X < = 6) = 1 - e^(-6/12) = 1 - e^(-0.5) ≈ 0.3935\)

Therefore, the probability of the arrival time between vehicles being 6 seconds or less is approximately 0.3935.

d. Probability of 30 or more seconds between vehicle arrivals:

\(P(X > = 30) = e^(-30/12) ≈ 0.0498\)

Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

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The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.

The horizontal and vertical component of the airspeed is calculated as follows;

Vx = 300 cos(30) = 259.8 km/h

Vy = 300 x sin(30) = 150 km/h

The horizontal and vertical component of the wind velocity is calculated as follows;

Vx = 50 cos(60) = 25 km/h

Vy = 50 sin(60) = 43.3 km/h

To find the resultant velocity, we can add the x and y components separately:

Vx = 259.8 km/h  +  25 km/h = 284.8 km/h

Vy = 150 km/h  +  43.3 km/h  = 193.3 km/h

The magnitude of the resultant velocity is calculated as;

V = √(284.8² + 193.3²)

V = 344.2 km/h

The direction of the resultant velocity is calculated as;

θ = arc tan (193.3/284.8)

θ = 34.2⁰

The resultant direction to true north is calculated as;

track = 34.2 + 60 = 94.2°

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Answer:

= 4 0

Step-by-step explanation:

/ 1 0 + 8 =1 2

/1 0+ 8 − 8 = 1 2 − 8

SIMPLIFY

1 0 = 4

Multiply all terms by the same value to eliminate fraction denominators

1 0 = 4

1 0 ⋅ /1 0= 1 0 ⋅ 4

Simplify

n=40

Answer:

1. 87.5%

2. 0%

Step-by-step explanation:

sorry that I can't explain more, but I hope this helps!

Answer:

6

Step-by-step explanation:

3/4 x 8 = 6

Answer:  D

Step-by-step explanation:

Point of tangency is where the line on the left touches the circle.  Have you ever heard the term "She's going off on a tangent"- it means they only touch the topic(tangent point and go off (tangent line) and talk way off away from where you need to be(circle)

So you can see from the graph the point of tangency (where line touches circle is (-5,0)

the equation for the line is going to be a constant.  The line only touches the x-axis never the y-axis at all points it is x=-5

so the equation of the line x= -5

(f)

Given data:

The given equation is y=3.

The given point is (3,-3).

The distance of the point from the given line is,

Consider only the positive value of distance.

Thus, the given distance is 6 unis

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 51/100 = 0.51

For the alternative hypothesis,

P ≠ 0.51

Considering the population proportion, probability of success, p = 0.51

q = probability of failure = 1 - p

q = 1 - 0.51 = 0.49

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 278

n = number of samples = 800

P = 278/800 = 0.35

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.35 - 0.51)/√(0.51 × 0.49)/800 = - 9.05

Recall, population proportion, P = 0.45

The difference between sample proportion and population proportion(p - P) is 0.51 - 0.35 = 0.16

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.51 - 0.16 = 0.35

the p for the right tail is 0.51 + 0.16 = 0.67

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail is < 0.00001

We would double this area to include the area in the right tail of z = 9.05 Thus

p < 0.00001 × 2

p < 0.00002

Since alpha, 0.01 > than the p value, then we would reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that parents feel differently today than they did twenty years​ ago.

Answer:

b

Step-by-step explanation:

b

Answer: 331.4

Step-by-step explanation:

33.14 x 10
Whenever you get 10x  you move a place or zero. In this case you move the decimal back one. So 33.14 x 10 = 331.4

The rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

The mathematical concept of rate of change describes how much one quantity changes in relation to another. It is calculated as the difference between the change in the output (the dependent variable) and the change in the input (independent variable).

The rate of change, in other words, informs us of how quickly or slowly something is changing through time or in relation to another variable. When tracking the distance an automobile travels over time, for instance, the rate of change would be the car's speed, which is calculated as the distance traveled divided by the time required.

Slope, which is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a graph, is a common way to depict the rate of change. The rate of change of the dependent variable with respect to the independent variable is depicted by the slope of a straight-line graph.

The rate of change in the total amount charged with respect to the time spent on the service call represents the slope of the graph. We can find the slope of the graph by taking any two points on the line and calculating the change in y (total amount) divided by the change in x (time spent on the service call).

Looking at the graph, we can choose two points: (2, 130) and (8, 370). The change in y is:

370 - 130 = 240

And the change in x is:

8 - 2 = 6

Therefore, the slope (rate of change) of the graph is:

240/6 = 40

So the rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

Therefore, the correct option is $40 per hour.

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Answer:

200

Step-by-step explanation:

Answer:Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation

Step-by-step explanation:

Answer:

I think it would be 4/5 because in the box there are 4 c and 1 b

Step-by-step explanation:

Answer:

4/5 the top is right...

Step-by-step explanation:

Answer: 2711×10^-10

Step-by-step explanation:

Answer: 2.71 x 10^-7

You must have 2 numbers after so it will be 71 after the 2. It’s getting smaller so go to the left. There’s 7 spaces from 2()7 to the new decimal spot

From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

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Answer:

The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

\(M = 1.96\frac{72}{\sqrt{22}} = 30\)

The lower end of the interval is the sample mean subtracted by M. So it is 190 - 30 = 160 days

The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.

Answer:

7

Step-by-step explanation:

Step-by-step explanation:

Boys

\(20 + (20 \div 100)30 = \\ = 20 + 0.2 \times 30 = \\ = 20 + 6 = \\26\)

Girls

\(26 - (26 \div 100)15 = \\ = 26 - 0.26 \times 15 = \\ = 26 - 3.9 = \\ = 22\)

Total last year 46

Total this year 48

Increase

Answer:

84

34

27

Step-by-step explanation:

Odpowiedź:

48 cm

Wyjaśnienie krok po kroku:

Jeśli się uwzględni:

Wysokość trapezu = 6 cm

Długość podstaw:

Podstawa 1 = a = 9 cm

Podstawa 2 = b = (a - 2) = 9 - 2 = 7 cm

Uaing relacji:

Powierzchnia trapezu = 1/2 (a + b) * h

Powierzchnia trapezu = 0,5 (9 + 7) * 6

Powierzchnia trapezu = 0,5 (16) * 6

Powierzchnia trapezu = 8 * 6

Powierzchnia trapezu = 48 cm

The angle of elevation from the person to the birds nest is 29^o.

When an object is observed at an angle above the horizontal plane, the angle formed with the horizontal plane with the line of observation is called an angled of elevation. It is measured in degree by a clinometer.

From a sketch of the narration in the given question, we apply the appropriate trigonometric function since the triangle is a right angled triangle.

So, to determine the measure of the required angle of elevation of the bird's nest, we have;

Tan θ = opposite/ adjacent

Tan θ = 10/18

         = 0.5556

θ = Tan^-1 0.5556

  = 29.05

θ = 29^o

Thus, the angle of elevation from the person to the bird's nest is 29^o.

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Answer:

(7±√29) /2

Step-by-step explanation:

-x²+7x=5

x²-7x+5=0

x=-(-7)/2 ±√49/4-4

 =7/2±√29 /4

 =(7±√29) /2

Answer:

angle CAB = 85 degrees

Step-by-step explanation:

angle CAB = 1/2(265-95)

angle CAB = 85 degrees