2=x^2-10x
Find the zeros

The probabilities are given as follows:

a) cookie dough or was ordered on a Saturday = 0.9.

b) cookie dough given it was ordered on a Saturday = 0.8.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

For item a, we use the and/or probability, as follows:

P(A or B) = P(A) + P(B) - P(A and B).

Hence:

P(A or B) = 0.8 + 0.5 - 0.4

P(A or B) = 0.9.

For item b, we use conditional probability as follows:

P(Cookie dough|Saturday) = P(Cookie Dough and Saturday)/P(Saturday).

P(Cookie dough|Saturday) = 0.4/0.5

P(Cookie dough|Saturday) = 0.8.

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The solution to the equation 83x + 1 = 16, rounded to the nearest thousandth, is x = 0.181, the key features of the function f(x) = 83x + 1 are; y-intercept; (0, 1), and Asymptote; None.

To solve 83x + 1 = 16, we need to isolate x on one side of the equation. We can do this by subtracting 1 from both sides and then dividing by 83;

83x + 1 - 1 = 16 - 1

83x = 15

x = 15/83

Rounded to the nearest thousandth, x is approximately 0.181.

Therefore, the solution to the equation 83x + 1 = 16, rounded to the nearest thousandth, is x = 0.181.

The function f(x) = 83x + 1 is a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. Therefore;

The y-intercept is (0, 1), since b = 1.

The function does not have an asymptote, since it is a linear function and it does not approach any particular value as x increases or decreases.

So the key features of the function f(x) = 83x + 1 are;

y-intercept; (0, 1)

Asymptote; None.

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Rounding a number means changing its value to a number that is closer to a certain level of precision or a certain place value. When we round a number, we usually specify the level of precision or place value that we want the rounded number to have. For example, we might want to round a number to the nearest whole number, to the nearest tenth, or the nearest thousandth.

The process of rounding involves looking at the digit in the place value that we want to round to and using the digit to the right of it to determine whether to round up or down.

Rules of Rounding:

The place values to the right of the decimal point, or the right of one's place in number, are called decimal places. The decimal places are numbered starting from the tenth place, which is one place to the right of the decimal point. The next place to the right is the hundredth place, followed by the thousandth place, and so on.

The third place to the right of zero is the thousandth place. When rounding to the nearest thousandth we have to look at the fourth decimal place to see whether it must be rounded up or down. The fourth digit is an 8 which is greater than 5. So we must round the thousandth place up.

This gives us 0.143, rounded to the nearest thousandth.

Answer:90

Step-by-step explanation:80*6=480= All Subjects

78*5=390

480-390=90

Answer: well, since we can assume that the first 5 are 78, he would have to get a 90% in order to get a 80% average

Answer:

12 pies

Step-by-step explanation:

Espanol:

Sabemos que el área es 108 y un lado, el ancho, es 9.

Esto significa que podemos dividir 108/9 para obtener la longitud, ya que la fórmula es:

[tex]A=lw[/tex] (ingles)

[tex]A=la[/tex](espanol)

Podemos sustituir en 108 y 9 en esta ecuación:

108=9a

Dividir ambos lados por 9:

a=12

12 pies

¡Espero que esto ayude! :)

Answer: No solution.

Step-by-step explanation:

     To solve, we will substitute the first equation into the second equation for the value of y.

Given:

     y = 1 - 2x

     4x + 2y = 0

Substitute:

     4x + 2(1 - 2x) = 0

Distribute:

     4x + 2 - 4x = 0

Subtract 2 from both sides of the equation:

     4x - 4x = -2

     0 = -2

     We see that the variables cancel out each other, and now we have nothing to solve or continue moving forward within our solution. This means that there are no solutions to this system of equations.

     This means that the lines are parallel. We can also see this when we graph the system, see attached. This becomes more clear when we change both of the equations into slope-intercept form. 4x + 2y = 0 becomes y = -2x, which has the same slope as the first equation (again, parallel lines). If they also had the same y-intercept there would be infinitely many solutions, however, they do not.

Answer:

-8xy^4 -3x -3y+ 15

The solution to the system of equations is (-3, 1).

The system of equation is given as:

y = –3x – 8       ....(i)

4x – 3y + 15 = 0   ....(i)

Substitute the value of equation (i) into (ii):

4x – 3(–3x – 8) + 15 = 0

4x + 9x + 24 + 15 = 0

13x = - 24 - 15

13x = -39

Divided by 13 both sides of the equation,

x = -3

Substitute the value of x = -3 into equation (i),

y = –3(-3) – 8

y = 9 - 8

y = 1

Thus, the solution to the system of equations is (-3, 1).

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The complete question is as follows:

Find the solution to the system of equations:

y = –3x – 8       ....(i)

4x – 3y + 15 = 0   ....(i)

The greatest common factor of these two expressions is  8[tex]y^{5} x^{2}[/tex],

The two expressions given are:

16[tex]y^{8} x^{2} u^{3}[/tex]

8[tex]y^{5} x^{4}[/tex]

Now, we have to find the greatest common factor of these two expressions. Firstly, we will find the factors of these two expressions and then the greatest among them.

16[tex]y^{8} x^{2} u^{3}[/tex] = 8[tex]y^{5} x^{2}[/tex] × [tex]2y^{3} u^{3}[/tex]

8[tex]y^{5} x^{4}[/tex] =  8[tex]y^{5} x^{2}[/tex] × [tex]x^{2}[/tex]

So, the common greatest factor between both of these is  8[tex]y^{5} x^{2}[/tex]. Hence, the answer is  8[tex]y^{5} x^{2}[/tex].

A set's greatest common factor (GCF, GCD, or HCF) is the largest positive integer that divides evenly into all numbers with zero residual.

To find the GCF through factoring, make a list of all the factors of each integer or use a Factors Calculator. Whole number factors are numbers that divide evenly and leave no residual. Given a list of common factors for each integer, the GCF is the greatest number that appears on all of them.

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Answer: i got no answer.

Step-by-step explanation:

lol sorry im just putting this for the points

The correct pairing of DNA bases is: A with T, and C with G. The Option C is correct.

The correct pairing of DNA bases is established by the rules of base pairing in DNA structure which is known as Chargaff's rules.

According to the rule, the adenine (A) pairs with thymine (T) and cytosine (C) pairs with guanine (G); these pairing are based on the complementary nature of the DNA bases where adenine forms two hydrogen bonds with thymine, and cytosine forms three hydrogen bonds with guanine.

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Answer:

Step-by-step explanation:

ince right triangle ABC is graphed in the xy-coordinate plane with vertices at (0,0), (5,0) and (5,12), we can use the coordinates of the vertices to find the lengths of the sides of the triangle.

The length of side AB is 5 units, the length of side BC is 12 units, and the length of side AC is given by the Pythagorean theorem:

AC^2 = AB^2 + BC^2

AC^2 = 5^2 + 12^2

AC^2 = 169

AC = 13

Therefore, right triangle ABC is a 5-12-13 triangle.

The angle at the origin is opposite to the side of length 12, so it is the angle opposite to the side BC. We can find this angle using the inverse tangent function:

tan(theta) = opposite / adjacent

tan(theta) = 12 / 5

theta = tan^-1(12/5) ≈ 68.2°

Since cos(pi + theta) = -cos(theta), we have:

cos(pi + theta) = -cos(theta) = -cos(tan^-1(12/5))

Using the identity cos(arctan(x)) = 1 / sqrt(1 + x^2), we can simplify this expression:

cos(tan^-1(12/5)) = 1 / sqrt(1 + (12/5)^2) = 5 / 13

Therefore, cos(pi + theta) = -cos(theta) = -cos(tan^-1(12/5)) = -5/13.

Answer:

A. 1/3

Step-by-step explanation:

The probability of drawing a blue marble on the first draw is 2/4, or 1/2, since there are two blue marbles out of four total marbles. After one blue marble has been drawn and not replaced, there are now three marbles left in the bag, one blue and two green. Therefore, the probability of drawing a green marble on the second draw is 2/3.

To find the probability of both events happening, we multiply the probabilities:

P(blue, then green) = P(blue) * P(green after blue)

P(blue, then green) = 1/2 * 2/3

P(blue, then green) = 1/3

Therefore, the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble, is 1/3. Answer: 1/3.

Step-by-step explanation:

1) We can start by finding the adjacent and opposite sides of the right triangle using the Pythagorean theorem. Let x be the length of the adjacent side, then:

tan θ = (3-√3)/9

tan θ = opposite/adjacent

(3-√3)/9 = opposite/x

opposite = (3-√3)x/9

Using Pythagorean theorem:

(adjacent)^2 + (opposite)^2 = (hypotenuse)^2

x^2 + [(3-√3)x/9]^2 = (hypotenuse)^2

x^2 + (9-6√3+3)x^2/81 = (hypotenuse)^2

(82-54√3)x^2/81 = (hypotenuse)^2

We can simplify this expression to find the hypotenuse:

(hypotenuse)^2 = [(82-54√3)/81]x^2

hypotenuse = sqrt[(82-54√3)/81]x

Now we can find the other trig ratios:

cos θ = adjacent/hypotenuse = x/sqrt[(82-54√3)/81]x

cos θ = 1/sqrt[(82-54√3)/81]

cos θ = sqrt[(82+54√3)/81] / [(82-54√3)/81]

cos θ = sqrt(82+54√3) / (82-54√3)

sin θ = opposite/hypotenuse = (3-√3)x/9 / sqrt[(82-54√3)/81]x

sin θ = (3-√3) / sqrt(82-54√3)

2) To find the other trig ratios, we need to first find the adjacent and hypotenuse sides of the right triangle. Let x be the length of the adjacent side, then:

sin θ = opposite/hypotenuse = 8/10

opposite = (8/10)hypotenuse = 0.8hypotenuse

Using Pythagorean theorem:

(adjacent)^2 + (opposite)^2 = (hypotenuse)^2

x^2 + (0.8hypotenuse)^2 = hypotenuse^2

x^2 + 0.64h^2 = h^2

x^2 = 0.36h^2

x = 0.6h

Now we can find the other trig ratios:

cos θ = adjacent/hypotenuse = 0.6h/h = 0.6

tan θ = opposite/adjacent = (8/10)/0.6 = 4/3

cot θ = 1/tan θ = 3/4

The situation involving testing a claim about a single population proportion is: "The head of health services at Goodheart University suspects that the proportion of smokers may be lower there."

In this situation, the researcher is interested in testing a claim about the proportion of smokers in a single population, namely the population of college students at Goodheart University. The researcher suspects that the proportion of smokers at Goodheart University may be lower than the estimated proportion of 20% for all college students in the United States.

To test this claim, the researcher would conduct a hypothesis test for a single population proportion, where the null hypothesis would be that the proportion of smokers at Goodheart University is equal to 20%, and the alternative hypothesis would be that the proportion is less than 20%.

Based on the sample data, the researcher would then either reject or fail to reject the null hypothesis, and make conclusions about whether there is evidence to support the claim that the proportion of smokers at Goodheart University is lower than the national average.

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The coordinates of the rectangle are (3,-3), (3, -7), (7, -7) and (7, -3).

We also know that the distance between the left and right sides of the rectangle is 4 (since the x-coordinate of the right side is 7 and the x-coordinate of the left side is 3). So we have the equation:

4x = 16

Solving for x, we get x = 4. This means that the length of the top and bottom sides of the rectangle is 4 units. The height of the rectangle is 16/4 = 4 units.

Now that we know the length and height of the rectangle, we can draw it on the coordinate plane.

The left side starts at (3, -3) and ends at (3, -7). The right side starts at (7, -3) and ends at (7, -7).

The top side starts at (3, -3) and ends at (7, -3). The bottom side starts at (3, -7) and ends at (7, -7).

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The factors of the quadratic equation are 6 and 7.

A polynomial equation of degree 2 is a quadratic equation, indicating that the maximum exponent of the variable is 2.

One, two real solutions, or two complex solutions can be found for quadratic equations. There are several ways to find the answers, including factoring, solving the square, and applying the quadratic formula.

The quadratic equation can be solved as,

P² - 13P + 42=0

P² -6P - 7P + 42 =0

P(P-6) -7(P-6) = 0

( P - 6) ( P - 7) = 0

P = 6 and P = 7

Therefore, the solution of the quadratic equation is P = 6 and P = 7.

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Answer:

D

Step-by-step explanation:

D is the only one where A^2+B^2=C^2. Meaning that when 10=A, 24=B, 24 would be equal to C. 10^2=100 24^2=576, 100+576=676, and the sqrt of 676 is 36.

Answer: D

Step-by-step explanation:

D is the only one where A^2+B^2=C^2. Meaning that when 10=A, 24=B, 24 would be equal to C. 10^2=100 24^2=576, 100+576=676, and the sqrt of 676 is 36.

The minimum IQ score required to be considered as a part of the 2% is approximately 68.25, obtained by converting the score into a standard normal distribution and using the z-score for the 2nd percentile

A percentile is a measure used in statistics to indicate the percentage of data values that fall below a particular value in a distribution, often used to describe test scores, rankings, and other quantitative data.

The standard normal distribution is a specific normal distribution with a mean of 0 and a standard deviation of 1, used to standardize any normal distribution to compare and analyze data from different sources.

According to the given information:

To find the minimum IQ score required to be considered as a part of the 2%, we need to use the standard normal distribution table.

First, we need to convert the given distribution with a mean of 100 and a standard deviation of 15 into a standard normal distribution with a mean of 0 and a standard deviation of 1. We can do this by using the formula:

z = (x - μ) / σ

where x is the IQ score, μ is the mean (100), and σ is the standard deviation (15).

Substituting the values, we get:

z = (x - 100) / 15

Now, we need to find the z-score corresponding to the 2nd percentile, which is the value below which 2% of the scores fall. From the standard normal distribution table, the z-score for the 2nd percentile is approximately -2.05.

Substituting this value into the formula:

-2.05 = (x - 100) / 15

Solving for x, we get:

x = -2.05 x 15 + 100

x ≈ 68.25

Therefore, the minimum IQ score required to be considered as a part of the 2% is approximately 68.25.

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The probability of drawing another pink marble on the second draw is 1/9

From the question, we have the following parameters that can be used in our computation:

The marbles

The probability of the first pink is

P = 2/10

Given that the selection is without replacement

So, there are 9 marbles left and 1 pink marble left

So, the probability of the second pink is

P = 1/9

So, we have

Probability of pink on the second draw = 1/9

Hence, the probability of the second draw is 1/9

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Answer:

B) it will take him 11h to mow 12 lawns

The system of equations when solved by calculator is (x, y) = (3.304, -0.478)

From the question, we have the following parameters that can be used in our computation:

2x - 5y = 9

3x + 4y = 8

Rewrite them in intercept form

So, we have

5y = 2x - 9

4y = -3x + 8

This gives

y = 2/5x - 9/5

y = -3/4x + 2

Solving the system of equations by calculator, we have the following solutions

(x, y) = (3.304, -0.478)

Hence, the solution is (x, y) = (3.304, -0.478)

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Answer:

The answer to your problem is, 78

Step-by-step explanation:

Let’s divide in order to find the answer.

Round 3.55 to the nearest whole = 4

275 / 4

= 68.75

But if we instead of “ 4 “ we can add 3.55

275 / 3.55

= 77.46

Since it is a little over 77. We round it to 78. Due to it be measured in money

Thus the answer to your problem is, 78

The number of time spent in each class is 1 1/15 ( optionA)

A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.

The total number of hours spend in the class is calculated as;

7 3/5 -(1/2+7/10)

38/5 - (1/2 +7/10)

38/5 - (5+7)/10

38/5 - 12/10

=( 76-12)/10

= 64/10 hours

therefore since he attended six classes,

the number of time spent In class is calculated as ;

64/10÷6

= 64/10 × 1/6

= 64/60

= 16/15

= 1 1/15 hours

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The likelihood of selecting a cut of pepperoni pizza moment given merely have as of now chosen a cut of cheese pizza to begin with is 4/7 or roughly 0.57.

There are a add up to of 8 cuts of pizza, and in the event that you haphazardly select a cut of cheese pizza to begin with, there are presently as it were 3 cuts of cheese pizza cleared out out of 7 add up to cuts cleared out. Since you need to discover the likelihood of selecting a cut of pepperoni pizza moment given that a cut of cheese pizza has as of now been chosen, you would like to calculate the likelihood of selecting a cut of pepperoni pizza from the remaining 4 cuts of pepperoni pizza and 3 cuts of cheese pizza.

The likelihood of selecting a slice of pepperoni pizza moment given that you simply have as of now chosen a cut of cheese pizza to begin with can be calculated utilizing the conditional likelihood equation:

P(Pepperoni moment | Cheese to begin with) = P(Pepperoni moment and Cheese to begin with) / P(Cheese to begin with)

The likelihood of selecting a cut of pepperoni pizza moment and a cut of cheese pizza to begin with is [tex]4/8 x 4/7 = 16/56[/tex]. The likelihood of selecting a cut of cheese pizza to begin with is 4/8, which disentangles to 1/2. Subsequently: P(Pepperoni moment | Cheese to begin with) = (16/56) / (1/2) = 4/7

The complete question is:

You and some friends ordered pizza and have four slices of pepperoni pizza and four slices of cheese pizza remaining. Find the probability that you select a slice of pepperoni pizza second given that you randomly selected a slice of cheese pizza first.

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The amount he will receive as his salary in the 18th year of working at this job will be $107,500

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized.

The amount of money Jamar made in his first year= $48,000

The salary rise per year = $3,500

The amount of money he will make for the extra 17 years is

= 17 × $3,500

= $59,500

he will receive as his salary in the 18th year working at this job = $48,000 + $59,500 = $107,500

Therefore the amount he will receive as his salary in the 18th year of working at this job will be $107,500

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The surface area of the prism is 184 cm², So the correct answer is 184 square centimeters.

A triangular prism is a three-dimensional geometric shape that consists of two congruent parallel triangles as its bases and three rectangular faces connecting the corresponding sides of the two triangles.

The triangular prism has a total of six faces, to find the surface area of the prism we need to find the sum of the area of the six faces.

Here we have

The prism has a rectangular base with dimensions of 10 cm × 6 cm  

The height of the prism is 4 cm and the sides of the triangular faces are 5 cm

Here,

The surface area of the prism

= Area of base + Area of 2 rectangular faces + Area of 2 triangular faces

= 10 cm × 6 cm + 2 [ 10 cm × 5 cm ] + 1/2 2 [ 4 cm × 6 cm ]

= 60 cm² + 100 cm² + 24 cm²

= 184 cm²  

Therefore

The surface area of the prism is 184 cm², So the correct answer is 184 square centimeters.

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Complete Question:

What is the surface area of the triangular prism shown?

32 square centimeters

120 square centimeters

184 square centimeters

1,560 square centimeters