Q7) I CAN FIND THE PROBABILITY OF AN EVENT WHEN THE OUTCOMES ARE EQUALLY LIKELY A bag contains 5 grapes, 2 bananas, and 6 avocados. One fruit is chosen at random. What is the probability an avocado is chosen? I a) 1/5 b) 6/7 c) 6/13 d) 2/13​

Answer:

The quadratic equation is x^2 -12x -120 = 0

where x represents the length of the field

Step-by-step explanation:

We want to make an expression in terms of a quadratic equation;

Let the length of the field be x mm , then the width will be (x-12) mm

Mathematically , the area of the field will be L * B

Thus;

x * (x-12) = 120

That gives;

x^2 -12x = 120

x^2 -12x -120 = 0

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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Answer:

5%, 29.4%, 12/15, 1.99, 2 wholes

Step-by-step explanation:

The way I like to think about this kind of problem is in terms of decimals. So, to solve this problem, I will put all of the given numbers in decimal form.

The first number is 29.4%. To convert from percentages to decimals, you just divide by 100 (move the decimal point two places to the left) and remove the percent sign. So, 29.4% is equivalent to 0.294.

The second number is 2 wholes. 1 whole is 100%, so two wholes are 200%. If were to convert 200% to decimal form, we would get 2.

The third number is 12/15. We can simplify this fraction to get 4/5 (by dividing the numerator and denominator by 3, their greatest common factor). We know that 1/5 is 20%, since 100/5 is 20. This means 4/5 is 4*20%, or 80%. 80% in decimal form is 0.8.

The fourth number, 1.99, is already in decimal form.

The fifth number is 5%. If we convert this to decimal form, we get 0.05.

Our numbers in decimal form are 0.294, 2, 0.8, 1.99, and 0.05. If we were to order these from least to greatest, we would get 0.05, 0.294, 0.8, 1.99, 2. We can convert the numbers back to their original forms for the final answer: 5%, 29.4%, 12/15, 1.99, 2 wholes

Answer:

29

Step-by-step explanation:

1/4 (d-2) = 6

1/4d - 1/2 = 6

1/4d = 6 1/2

d = 6 1/2 ÷ 1/4

d = 13/2 ÷ 1/4

d = 13/2 * 4/1

d = 26/1

d = 26

d + 3 =

26

+ 3 =

29

Answer:

8x.

Step-by-step explanation:

coordinates: (3,10) (5,26)

use slope formula (y2 - y1/x2-x1)

26-10/5-3

16/2

= 8

Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

Answer:

To solve this problem, we can use algebra. Let x be the number of student tickets sold and y be the number of adult tickets sold. We know that:

x + y = 500 (the total number of tickets sold)

5x + 10y = 3000 (the total revenue from ticket sales)

We can use the first equation to solve for one of the variables in terms of the other. For example, we can use the first equation to solve for y in terms of x:

y = 500 - x

Now we can substitute this expression for y into the second equation:

5x + 10(500 - x) = 3000

5x + 5000 - 10x = 3000

-5x = -2000

x = 400

So, the number of student tickets sold is 400. The answer is d) 400

Total 400 students attended the play.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that student tickets cost $5 each and adult tickets cost $10 each. The total ticket sales were $3,000 for 500 tickets.

We can write the system of equations as -

5x + 10y = 3000

x + y = 500

Now -

x = 500 - y

So -

5(500 - y) + 10y = 3000

2500 - 5y + 10y = 3000

5y = 500

y = 100

x = 400

Therefore, total 400 students attended the play.

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Answer:

6.5 km

Step-by-step explanation:

Subtract 12 - 1.20 for the first 0.5 km

We are left with 10.8

Divide 10.8 by 0.90 to find the other 0.5 km

This gives you 12, which means it was 6 km

The total cab ride was 6.5 km

Answer:

6.5 km

Step-by-step explanation:

First subtract 1.2 from 12, you get 10.8

now you are going to divide 10.8 by .90, you get 12. Now this may seem confusing but now u have do divided it by .5 because you aren't paying for every 1 km you are paying fro every .5 km. So now u have 6 km but no add that extra .5 from earlier and you get 6.5 km.

12.00-1.2=10.8 this is .5 km               10.8 divided by .9 =12

                                                           12 divided by .5=6

                                      .5 km + 6 km = 6.5

Question: calculate the measure of angle JKL, i.e. mJKM+mMKL

Answer:

78°

Step-by-step explanation:

angle JKM is a tangent-chord intersection angle and equals half of the intercepted arc KM of 76°.  Thus

mJKM = 76/2 = 38°

angle MKL is an inscribed angle and equals half of the intercepted arc ML of 80°,  Thus

mMKL = 80/2 = 40°.

Therefore angle JKL = 38°+40° = 78°.

Answer:

Step-by-step explanation:

vehicle one is traveling at a greater speed.    from the graphs we can see that in one hour the care would travel 40 miles.

the table shows the 2nd vehicle traveling 30 miles in one hour

So car 1 is going faster  :)

Answer:

Vehicle 1 is Moving Faster.

Step-by-step explanation:

For vehicle 1.

(2,80) (3,120)

∆Distance= 120-80 = 40miles

∆time = 3-2=1hr

So V=Distance/time = 40miles/1hr

V1 = 40miles per hour.

For car 2.

∆Distance=240-150 =90miles

∆time=8-5 = 3hrs

V=90/3

V=30Miles per hour.

So Car1 is Moving faster and at a velocity of 40Miles per hour.

Answer:

B. (1, -3)

Step-by-step explanation:

When you dilate from the origin (0, 0) by a scale factor of 1/2, multiple each coordinate point by 1/2.

(2, -6)

2 × 1/2 = 1

-6 × 1/2 = -3

(1, -3)

I hope this helps :))

Answer:

The answer is (1,-3)

Step-by-step explanation:

I took the test :)

Answer:

Step-by-step explanation:

45

Answer:

the answer isssssssssssssß

Answer:

The part that has been drawn 3/5 of the towel

Step-by-step explanation:

Answer:

Step-by-step explanation:

Green part is 5/8 of the towel

Fish design is 3/5 of green part and covers:

Of the towel

(a) The distribution of e^(-X/13) is an exponential distribution with parameter λ = 1/13.

To see this, note that if Y = e^(-X/13), then the cumulative distribution function of Y is given by F_Y(y) = P(Y ≤ y) = P(e^(-X/13) ≤ y) = P(-X/13 ≤ ln(y)) = F_X(-13 ln(y)), where F_X is the cumulative distribution function of X.

Since X has a density function f_X(x) = 3x^2/150 e^(-23x/13)I_{x>0}, we have F_X(x) = (1 - e^(-23x/13))(I_{x>0}), and so F_Y(y) = (1 - e^(23 ln(y)/13))(I_{y>0}) = (1 - y^(23/13))(I_{y>0}), which is the cumulative distribution function of an exponential distribution with parameter λ = 1/13.

(b) The distribution of Q = X_1 + X_2 + X_3 is a gamma distribution with parameters α = 3 and β = 150/23.

To see this, note that the joint density function of X_1, X_2, and X_3 is given by f(x_1, x_2, x_3) = (3/150)^3 x_1^2 x_2^2 x_3^2 e^(-23/13(x_1 + x_2 + x_3))I_{x_1>0, x_2>0, x_3>0}.

Integrating out x_1 and x_2 gives the marginal density function of X_3, which is f_X3(x_3) = (3/150)^3 x_3^2 e^(-23/13 x_3)I_{x_3>0}, which is the density function of a gamma distribution with parameters α = 3 and β = 150/23. Therefore, Q = X_1 + X_2 + X_3 has a gamma distribution with parameters α = 3 and β = 150/23.

(c) Using the given observation x = 480, we can construct a 96% confidence interval for the parameter θ using the formula (x ± z_{α/2} σ /sqrt(n)), where z_{α/2} is the 96/2 = 48th percentile of the standard normal distribution, σ^2 = Var(X_1) = 150/23^2, and n = 3 is the sample size.

Using a table of the standard normal distribution, we find z_{α/2} = 1.75. Therefore, the 96% confidence interval for θ is (480 - 1.75(150/23)/sqrt(3), 480 + 1.75(150/23)/sqrt(3)) = (368.7, 591.3).

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Answer:

ASA

Step-by-step explanation:

Because since the angles are bisected, they would be equal to each other (<UST=<USR). We can also say that SU=SU due to the reflexive property.

Answer:

The next 3 numbers will be 1 3/4, 2, and 2 1/4

Step-by-step explanation:

The numbers in the sequence are increase by 1/4. So to find the next number in the sequence and 1/4 to the previous number. Don't foget to simplify your answers. Ex.) Rather than saying 2 2/4 you would say 2 1/2.

Answer:

23

Step-by-step explanation:

the absolute value of any number is just the positive form of that number.

Answer:

\(f-g+(-2) = -9.705\)

Step-by-step explanation:

Given

\(f = -3.005\)

\(g=4.7\)

Required

Determine  \(f-g+(-2)\)

We have:

\(f-g+(-2)\)

Open brackets

\(f-g+(-2) = f-g-2\)

Substitute values for f and g

\(f-g+(-2) = -3.005-4.7-2\)

Solve

\(f-g+(-2) = -9.705\)

Answer:

the answer i got was

-9.705

Step-by-step explanation:

i did it on khan

Out of the given figures, namely, a square, triangle, a trapezoid, a regular pentagon, and a rhombus, a test would require selecting a figure among these figures.

However, we can understand the nature of each of these figures, their characteristics, properties, and formulas related to them, and determine how to select a figure for the test.The square has four sides and four right angles, with all sides of equal length.

Its formula for area is A = s²,

where s is the length of the sides.

The triangle is a polygon with three sides, with its area calculated as A = (1/2)bh,

where b is the base and h is the height of the triangle.A trapezoid is a quadrilateral with only one pair of parallel sides. Its formula for area is A = [(b1+b2)/2]h,

where b1 and b2 are the lengths of the parallel sides, and h is the height of the trapezoid.

A regular pentagon is a polygon with five sides, with all sides of equal length. Its area formula is A = (1/4)s²√(25+10√5), where s is the length of the sides.

The rhombus has four equal sides, with opposite angles being equal.

Its area formula is A = (1/2) d1d2, where d1 and d2 are the lengths of the diagonals.

Depending on the nature and level of the test, the selection of any of the figures can vary. For example, if the test is related to the calculation of areas, the selection of square, triangle, trapezoid, and rhombus would be more appropriate, while the selection of a regular pentagon can be suitable for a more advanced test.

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When drawing cabinets obliquely, we start with the front face of an object and draw the depths or sides at 45 degrees.

The object is depicted as having a cabinet oblique with half height and full depth. In a cabinet oblique drawing, the object's height is depicted at half scale while its depth is represented at full scale.

In doing so, a foreshortening effect is produced, giving the object a deeper than tall appearance. The drawing is normally displayed at a 45-degree angle, with the breadth of the object drawn to full scale.

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Answer:$1.67

Step-by-step explanation:

Divide 20 and 12 to get 1.6666666 round the number and you get 1.67

The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Answer:

the width is 360 ft

Step-by-step explanation:

The computation of the width of the flag is shown below:

Let us assume the width be x

So the length would be x + 340

And, the perimeter is 2,120 ft

So the formula is

Perimeter = 2(length + width)

2,120 = 2(x + 340 + x)

2,120 = 2x + 680 +  2x

2,120 = 4x + 680

4x = 2,120 - 680

x = 360

hence, the width is 360 ft

Answer:

Mean = 59

Median = 58

Step-by-step explanation:

Given the data for a Javelin throw :

56, 58, 63, 57 61 meters

Reordering the data: 56, 57, 58, 61, 63

Mean, m = Σx / n

n = sample size = 5

m = (56 + 57 + 58 + 61 + 63) / 5

m = 295 / 5

m = 59

The median : 1/2 (n+1)th term

1/2(5 +1) the term

1/2(6) = 3rd term

Median value = 58

Answer:

-6(x-3)<-6

Step-by-step explanation:

Answer:

0.011

Step-by-step explanation:

Answer:9.05

Step-by-step explanation: uh why? its easy

The correct matching of probabilities is as follows:

The probabilities are calculated as follows:

2. The probability of spinning an even number is 2/4 = 1/2

The probability of spinning a 3 is 1/4.

The probability of spinning an even or a 3 =  1/2 + 1/4

The probability of spinning an even or a 3 = 3/4

3. 16 possible outcomes are obtained by taking the Cartesian product of the set {red, blue, yellow, green} with itself, that is, by listing all possible ordered pairs of colors. The sample space is option D.

4. The probability of getting red on at least one spin = 1 - the probability of not getting red on either spin.

The probability of not getting red on a single spin is 3/4

The probability of not getting red on two spins in a row is (3/4) × (3/4) = 9/16

Therefore, the probability of getting red on at least one spin = 1 - 9/16

The probability of getting red on at least one spin = 7/16

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Student A is incorrect. The student started at 0 on the y-axis, did not need to move horizontally on the graph, and so moved horizontally to 2 on the x-axis. The student should have started at 0 on the x-axis, moved horizontally to the graph, and then moved vertically to -6, which student B did.

The value of x at which we want to find the numeric value of the function is given as follows:

x = 2.

Tracing a vertical line through x = 2, it will cross the graph of the function at y = -6, hence the numeric value is given as follows:

f(2) = -6.

Meaning that student B is correct.

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