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The probability that it takes Rita more than 10 pulls to start her old mower can be calculated by finding the probability of failure in the first 10 pulls, which is \((0.8)^{10}\). This probability is approximately 0.1074, or 10.74%.

To find the probability that it takes Rita more than 10 pulls to start her mower, we need to calculate the probability of failure in the first 10 pulls. Since the probability of success (the mower starting) on any particular pull is 20%, the probability of failure on a single pull is 1 - 0.2, which is 0.8.

To calculate the probability of failure in the first 10 pulls, we multiply the individual probabilities of failure for each pull. Since each pull is an independent event, we can use the multiplication rule for independent events. Therefore, the probability that Rita fails to start the mower on the first pull is 0.8. The probability of failure on the second pull is also 0.8, and so on.

Multiplying the individual probabilities of failure for each of the 10 pulls, we get (0.8)^10, which is approximately 0.1074, or 10.74%. This means that there is approximately a 10.74% chance that it will take Rita more than 10 pulls to start her old mower.

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Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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Answer:

Step-by-step explanation:

it is C. the third one

Answer:

4 1/10 ounces of Liquid plant fertilizer left

Step-by-step explanation:

Total quantity of Liquid plant fertilizer=6 3/5 ounces

Quantity used up on a flower garden=2 1/2 ounces

Quantity of  liquid plant fertilizer are left=Total quantity of Liquid plant fertilizer -Quantity used up on a flower garden

6 3/5 ounces -2 1/2 ounces( subtract whole number from whole number and fraction from fraction)

6-2   3/5 - 1/2

4   (6-5) / 10

4 1/10 ounces of Liquid plant fertilizer left

The equation of a parabola that intersects the x-axis at points (-1, 0) and

(3, 0) is y = x² - 2x - 3.

What is a parabola?

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola.

Since the parabola intersects x-axis at points (-1,0) and (3,0), the parabola has its axis parallel to y-axis.

The general equation for such parabola is,

y = ax² + bx + c

The roots of the quadratic equation is found when y = 0

We know that when y = 0, x = -1 , 3

So (x+1) (x - 3) = 0

Solving the above equation we can find the equation of parabola

x² - 3x + x -3 = y

Therefore y = x² - 2x- 3 is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0).

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Answer:

x = 15

Step-by-step explanation:

the measure of a tangent- tangent angle is half the difference of the measures of the intercepted arcs.

the sum of the arcs in a circle = 360° , then

minor arc FH = 360 - 17x

Then

\(\frac{1}{2}\) (17x - (360 - 17x) ) = 75 ( multiply both sides by 2 to clear the fraction )

17x - (360 - 17x) = 150

17x - 360 + 17x = 150

34x - 360 = 150 ( add 360 to both sides )

34x = 510 ( divide both sides by 34 )

x = 15

The measure of angle x of the circle is x = 15

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the measure of the tangent-tangent angle be = 17x°

Now , the angle created by two tangents in a circle that intersect outside the circle is known as the tangent-tangent angle. This angle's dimension is half the difference between the dimensions of the two intercepted arcs.

So , ( 1/2 ) (17x - (360 - 17x) ) = 75

Multiply by 2 on both sides , we get

(17x - (360 - 17x) = 150

34x = 510

Divide by 34 on both sides , we get

x = 15

Hence , the measure of x of circle is 15

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The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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Answer: 5 1/3

Step-by-step explanation:

In statistics, the standard deviation is a measure of how much the data varies from the mean or average. It tells us how spread out the data is around the central tendency.

A low standard deviation indicates that the data is tightly clustered around the mean, while a high standard deviation indicates that the data is more spread out.

To calculate the standard deviation, we take the square root of the variance. The variance is the average of the squared differences between each data point and the mean.

For example, let's say we have a data set of the following ages of 5 people: 25, 30, 35, 40, and 45. The mean of these ages is (25 + 30 + 35 + 40 + 45) / 5 = 35. The variance is calculated by finding the difference between each age and the mean, squaring it, and taking the average.

The variance of these ages is ((25-35)^2 + (30-35)^2 + (35-35)^2 + (40-35)^2 + (45-35)^2) / 5 = 100. The standard deviation is the square root of the variance, which is √(100) = 10.

So, the standard deviation of this data set is 10. This tells us that the ages are relatively spread out around the mean of 35.

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Answer:

z = -8

Step-by-step explanation:

I'm guessing you want to find out what z is equal to, so here you go.

2z - 1 = -9 + z

2z = -8 + z

z = -8

Answer:

z = -8

Step-by-step explanation:

let's simplify the equation by getting the like terms together.

2z-1 = -9+z

first get the z's on the same side:

2z-z-1 = -9

z-1 = 9

then the constants:

z = -9+1

z = -8

Answer:Blue whale

Step-by-step explanation:

The blue whale goes  an extra kilometer faster

The Mako shark faster at top cruising speed and by 20km/h.

Given that,

Based on the above information, the calculation is as follows:

We know that

\(Speed = \frac{Distance}{Time}\)

For Mako shark,

\(= \frac{4}{\frac{1}{10} }\)

= 40 km/h

For Blue whales

\(= \frac{5}{\frac{1}{4} }\)

= 20 km/h

Based on the above calculations we can say that the Mako shark should be faster and by 20 km/h.

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The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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The answer is x=−4 and y=−3

Analyze each statement to see if it is supported by the dot plots or not.

A) More time is spent on homework than exercise.

Find the total time spent on each activity to compare

Answer:  Choice B

1 & 3/4

=============================================

Explanation:

Rewrite 1/2 into 4/8 so that it has the same denominator as 7/8.

Now that the denominators are the same, we focus on the numerators. This is because the equal denominators cancel out when we divide the fractions later on.

We'll divide the numerators 7 and 4 to get

7/4 = (4+3)/4

7/4 = (4/4) + (3/4)

7/4 = 1 + (3/4)

7/4 = 1 & 3/4

Meg can get 1 & 3/4 servings from the jug.

The area of the rectangle in terms of b is 11b - b², and the perimeter is always 22, regardless of the value of b.

A rectangle is a four-sided flat shape with opposite sides that are equal in length and parallel to each other. It has four right angles (90-degree angles) at each corner. The two sides that are parallel to each other are called the length, and the other two sides are called the width.

The area of a rectangle is found by multiplying its length and width, and its perimeter is the sum of the lengths of all four sides. Rectangles are common in everyday life and can be found in many different contexts, such as books, doors, windows, and electronic screens.

According to given information,

Let's assume that the length of the rectangle is 'l' and the width is 'b'.

The area of a rectangle is given by the formula A = lb, where A is the area, l is the length, and b is the width.

The perimeter of a rectangle is given by the formula P = 2(l + b), where P is the perimeter, l is the length, and b is the width.

So, the area of the rectangle is:

A = lb = 28

And the perimeter of the rectangle is:

P = 2(l + b) = 40

P = (l+b) = 20

l= 20 -b

Now, we can substitute l = 20 - b into these formulas:

A = (20 - b)b

P = 2(20 - b + b)

Simplifying, we get:

A = 40b - b²

P= 40

So, the area of the rectangle in terms of b is 11b - b², and the perimeter is always 22, regardless of the value of b.

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The length of the rectangle is 10 cm and breadth of the rectangle is 4 cm.

What is rectangle?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

The longer parallel sides are called length(l) and two shorter sides are called breadth(b).

Perimeter of a rectangle is 2(l+b).

Area of rectangle is l*b.

2(l+b)=28

L+b=28/2=14

L=14-b .....eq(1)

L*b=40

(14-b)b=40

14b-b^2=40

b^2-14b+40=0

b^2-10b-4b+40=0

b(b-10)-4(b-10)=0

(b-10)(b-4)=0

Either b=10 or b=4

If b=10 then l =4 but length can't be shorter than the breadth so b=4cm and l=10 cm is the answer.

Answer:

36 degrees

Step-by-step explanation:

the sum of angles in a circle is 360 degrees. A cake is shaped like a cake. the sum of angles in the cake is 360

Central angle in each cake = total degrees / number of slices the cake was cut into

360 / 10 = 36 degrees

Answer:

C

Step-by-step explanation:

All domains have to be a different number!!!!!

sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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Answer:

Given expression:

The first root is valid when:

The second root is valid when:

So the variable x can get values within interval:

Answer:

see below and attached

Step-by-step explanation:

To solve a system of quadratic equations:

I have done this (see attached workings) but cannot get any of the solutions you've provided.  I have even graphed the two functions, and the points of intersection concur with my workings (see attached graph).

Answer: it’s 35 mi/h

Step-by-step explanation:  

The constant speed is 35 miles per hour. Therefore, option C is the correct answer.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

The slope of rate of change of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

From the graph,

Constant speed = 35 miles/1 hour

= 35 miles per hour

Therefore, option C is the correct answer.

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Answer:

-2/45

Step-by-step explanation:

-3/5 - (-5/9)

Subtracting a negative is like adding

-3/5 + 5/9

Then we need a common denominator of 45

-3/5 * 9/9    + 5/9 *5/5

-27/45   + 25/45

-2/45

This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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Answer:

No sim. Because the triangles have to be divided by all the same to be

Step-by-step explanation:

Answer:

1.25 x 10^-8

Step-by-step explanation:

The three-month moving average of complaints for February, March, and April is 76, and this is predicted to be the number of complaints for May in the department store.

To use a three-month moving average to predict the number of complaints for May, we need to first calculate the average of the number of complaints for the three months leading up to May.

Here are the steps to do that:

Add up the number of complaints for the three months prior to May, which are February, March, and April:

48 + 86 + 94 = 228

Divide the sum by 3 to get the three-month moving average:

228 / 3 = 76

The predicted number of complaints for May is equal to the three-month moving average, which is 76. Therefore, using a three-month moving average, we predict that the number of complaints for May in the department store will be 76.

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Complete question:

How can we use a three-month moving average to predict the number of complaints for May, based on the table below which shows the number of complaints received in a department store for the first six months of operation?

Month Complaints

January 36

February 48

March 86

April 94

May         112

June 149

The probability of drawing 3 blue marbles if we replace the marble each time is 1/64.

Probability is the likelihood of a desired event happening. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain.

The probability of an event can be calculated using the following formula:

Probability = Favorable Outcomes / Total Outcomes

total number of marbles = 12

number of blue marbles = 3

probability of drawing blue marbles = 3/12 = 1/4

probability of drawing blue marbles with replacement = 1/4 * 1/4 * 1/4 = 1/64

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The probability of getting at least 2 defective chips out of 8 is 0.0061, or about 0.61%

To solve this problem, we need to use the binomial distribution formula, which is:

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

Where:
- P(X = k) is the probability of getting k successes
- n is the total number of trials (in this case, n = 8)
- k is the number of successes we're interested in (at least 2, so we need to calculate P(X = 2) + P(X = 3) + ... + P(X = 8))
- p is the probability of getting success on one trial (in this case, p = 0.01)

So let's calculate each term:

P(X = 2) = 8C2 * 0.01^2 * (1-0.01)^(8-2) = 0.0059
P(X = 3) = 8C3 * 0.01^3 * (1-0.01)^(8-3) = 0.0002
P(X = 4) = 8C4 * 0.01^4 * (1-0.01)^(8-4) = 0.0000
P(X = 5) = 8C5 * 0.01^5 * (1-0.01)^(8-5) = 0.0000
P(X = 6) = 8C6 * 0.01^6 * (1-0.01)^(8-6) = 0.0000
P(X = 7) = 8C7 * 0.01^7 * (1-0.01)^(8-7) = 0.0000
P(X = 8) = 8C8 * 0.01^8 * (1-0.01)^(8-8) = 0.0000

Now we can add up all the probabilities:

P(at least 2 defective chips) = P(X = 2) + P(X = 3) + ... + P(X = 8) = 0.0061

So the probability of getting at least 2 defective chips out of 8 is 0.0061, or about 0.61%. This is a relatively small probability, but it's not impossible, so the manufacturer should still take measures to minimize the number of defective chips produced.

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