Every​ quarter, the Food and Drug Administration​ (FDA) produces a report called the Total Diet Study. The​ FDA's report covers a variety of food​ items, each of which is analyzed for potentially harmful chemical compounds. A Total Diet Study reported that no pesticides at all were found in ​% of the domestically produced food samples. Consider a sample of food items analyzed for the presence of pesticides. Complete parts a and b. a. Compute and for the random variable​ x, the number of food items found that showed no trace of pesticide. nothing ​(Type an integer or a​ decimal.)

Answer:

answer: c

this are not polynomials

Answer:

Question 1: 29

Question 2: 50

Question 3: AD≅BC

Step-by-step explanation:

question 1: Since it's a parallelogram opposite sides are equal.

4x+5=5x-1   add one to both sides

4x+6 =5x subtract 4x from both sides

6 = x

So AD is equal to 5(6) - 1 = 30-1 =  29=AD

Question 2: Since diagonals in a parallelogram bisect each other AE = EC

So...

5x+5 = 8x- 7 add 7 to both sides

5x+12 = 8x subtract 5x from both sides

12=3x divide both sides by 3

4=x

AC= 5(4) + 5 + 8(4) - 7

AC= 20 + 5 + 32 - 7

AC= 50

Question 3: Lines can only be congruent, represented by ≅, not equal which is represented by =. Values can be equal.

By using the elimination method you get the answer  line AD ≅ line BC

Answer:

35 counting yourself.........34 not

Option-F is correct that is Cross- sectional study when all individuals in a certain community who are determined to be free of colon cancer are examined.

Given that,

All individuals in a certain community who are determined to be free of colon cancer are examined, and their diets are thoroughly probed. After that, these individuals are monitored for a number of years to determine whether their eating habits can predict their chance of acquiring colon cancer.

We must choose the right response to the message.

We know that,

Option-F is correct that is Cross- sectional study.

To learn more about community visit: https://brainly.com/question/15086577

#SPJ4

Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

Answer:

Step-by-step explanation:

1)

Congruency shortcuts:  

HL, SSS, SAS, ASA, and AAS

where S=side

A=angle

H=hypotenule

L=leg

HL is only for a right triangle

If you can prove sides and angles are congruent according to those 5 rules, you have proven the triangles are congruent

Similarity shortcuts:

AA, SAS, SSS

We have triangle similarity if (1) two pairs of angles are congruent (AA) (2) two pairs of sides are proportional and the included angles are congruent (SAS), or (3) if three pairs of sides are proportional (SSS)

2)

BG ≅ GD              >Given from image

IG ≅ GO               >Given from image

<BGI ≅ <DGO        >Vertical Angles

ΔBGI  ≅ ΔDGO        >SAS            

You have proven that the triangles are congruent because you used the shortcut by proving a side and angle and a side are congruent so SAS makes them congruent

Answer:

the mid point in x axis is half of 6-4 which =1

the mid point in y axis is half of 10-(-2) which=6

hence he midpoint is (1,6)

Answer:

Step-by-step explanation:

Step-by-step explanation:

125cm = 1.25m.

2m : 1.25m = 8:5

The slope which shows  the cost per guest is $35 per guest

The given cost for 50 guests is $2150.

The cost for 75 guests is $3025.

It can also be represented as:

(Guest, Cost) =(50, $2150) & (75, $3025)

The slope can now be calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (50, $2150) & (75, $3025)

Substituting the given values in the equation as follows:

Slope = (3025 - 2150)/(75 - 50)

Slope = 35

Hence, the slope is $35 per guest.

To know more on Slope click:

https://brainly.com/question/29481191

#SPJ1

the center of the rail would rise above the ground by approximately 0.24 meters, or 24 centimeters.

How to solve?

To solve this problem, we can use the formula for the change in length of an object due to thermal expansion:

ΔL = αLΔT

where ΔL is the change in length, α is the coefficient of thermal expansion, L is the original length, and ΔT is the change in temperature.

We know that the original length of the railroad is 2 kilometers, or 2000 meters, and that the change in length is 11 centimeters, or 0.11 meters. We can also assume that the change in temperature is due to a hot day, which might raise the temperature by 10°C.

The coefficient of thermal expansion for steel, which is commonly used in railroad tracks, is about 1.2 x 10²-5 /°C.

Substituting these values into the formula, we get:

0.11 meters = (1.2 x 10²-5 /°C) x 2000 meters x 10°C

Simplifying this expression, we get:

0.11 meters = 0.24 meters

So the center of the rail would rise above the ground by approximately 0.24 meters, or 24 centimeters.

To know more about Thermal Expansion visit:

https://brainly.com/question/30242448

#SPJ1

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

For more such questions on coefficients , Visit:

https://brainly.com/question/1038771

#SPJ8

Answer:

A. To convert pounds to kilograms, we need to multiply by 0.453592. Therefore, the fish from region A weighs about 130 kg (286 x 0.453592), rounded to the nearest whole number.

B. Similarly, the fish from region B weighs about 279 kg (614 x 0.453592), rounded to the nearest whole number.

Answer:

Breyer

Step-by-step explanation:

1gallon=128oz half gallon=64oz

We can make both of their unit to 224oz: 14x16=224oz 64x3.5=224oz

Haagen Dazs:3.67x16=58.72/224oz

Breyer: 4.69x3.5=16.415/224oz

Breyer’s way cheaper

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

Learn more about probability here:

https://brainly.com/question/23417919

#SPJ8

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

For such more questions on Radius:

https://brainly.com/question/24375372

#SPJ11

Answer:

r=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(3r = 30 \\ \frac{3r}{3} = \frac{30}{3} \\ r = 10 \\ \)

The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

for similar questions on rhombus.

https://brainly.com/question/20627264

#SPJ8

The factors of the expression 3i² - 27 are 1, -1, 2, -2, 3, -3, 5, -5, 6, -6, 10, -10, 15, -15, 30, and -30.

This process of finding two or more expressions whose product is the given expression is known as the factorization of algebraic expressions.

We can start by simplifying the expression 3i² - 27.

Remember that i² is equal to -1, so:

3i² - 27 = 3(-1) - 27 = -3 - 27 = -30

So the simplified term is  -30.

Now, we can find the factors of -30 by listing all of the pairs of numbers that multiply together to give -30.

The factors of -30 are:

1, -30

2, -15

3, -10

5, -6

Therefore, the factors of 3i² - 27 are 1, -1, 2, -2, 3, -3, 5, -5, 6, -6, 10, -10, 15, -15, 30, and -30.

To learn more about the factorization visit:

https://brainly.com/question/30593875

#SPJ1

Answer: (6,11π/6).

Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so

because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.

So the final answer is (6,11π6).

(b) To determine the year the population will reach 1,200,000, substitute p(t) = 1,200,000 into p(t) above and calculate the value of t

The year when t= 8, given that t=0 in 2014 is the year 2022

(c) the rate of change of the population in the year 2019

Firstly, differentiate p(t) with respect to t

In the year 2019, t = 5

Substitute t=5 into the rate of change above

We will solve as follows:

14x = 65 - 15y

-2(7x = -5 - 15y)

----------------------

14x = 65 -15y

-14x = 10 + 30y

----------------------

0 = 75 + 15y => 15y = -75 => y = -5

*So, we have that the value of y is -5.

Now, we replace and solve for x:

7x = -5 - 15(-5) => 7x = 70 => x = 10.

*So, the solution for the system is the point (10, -5).

Answer:

A.

Step-by-step explanation:

π/4 radians = 45°

In a 45-45-90 degree angle, the ratio of the lengths of the sides is

1 : 1 : √2

x = y = 1/√2

x = y = √2/2

Answer: A.

Answer:

A

Step-by-step explanation:

π/4 rad is 45°

cos 45° and sin 45° are both equal to (√2 / 2)

If you're curious, cos delta = x-coordinate while sin delta = y-coordinate

Answer:

a = (D-b) / 2

Step-by-step explanation:

Goal : move "a" to the left side and everything else to the right side

D=2a+b   (swap left and right sides)

2a + b = D    (subtract b from both sides)

2a = D - b   (divide both sides by 2)

a = (D-b) / 2   (answer)

The solution of the formula expressed 'a' in terms of the variable D and b is given by a = (D - b) / 2.

To solve the formula D = 2a + b for 'a', we need to isolate 'a' on one side of the equation.

Subtract 'b' from both sides of the equation to move it to the right-hand side.

D - b = 2a

To solve for 'a', we need to get rid of the coefficient of 'a', which is 2. Divide both sides of the equation by 2.

(D - b) / 2 = a

The equation (D - b) / 2 = a is the solution for 'a' in general.

formula D = 2a + b, 'D' is expressed in terms of 'a' and 'b'.

To solve for 'a', we want to find an expression that represents 'a' on its own without any other variables on the right-hand side of the equation.

Perform inverse operations to isolate 'a'.

first, move the 'b' term to the right side by subtracting 'b' from both sides. This step ensures that all the terms involving 'a' are on one side of the equation.

Next, divide both sides by the coefficient of 'a', which is 2, to cancel out the multiplication of 'a'.

This step leaves 'a' alone on the left side, thus giving us the solution for 'a'.

Therefore, the required formula is (D - b) / 2 = a, expresses 'a' in terms of 'D' and 'b'.

learn more about formula here

brainly.com/question/34175145

#SPJ2

Answer: dont know

Step-by-step explanation:

Answer:

15 percent off

Step-by-step explanation:

20% was the discount of the shirt.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Original Price of Shirt= $48

Sale price= $38.40

Discount= 48- 38.40 = $9.6

Then, Discount % = 9.6 / 48 x 100

                              = 0.2 x 100

                              = 20%

Hence, the discount was of 20%

Learn more about percent here:

https://brainly.com/question/28084096

#SPJ2

Correct option is A, the iS point-slope form of the line is y+ 8 = -4(x-2). A straight line's equation can be written as both a point slope form and a slope intercept form.

A line equation written using a single line point and the slope of the line is the simplest definition of the term "point-slope form." The slope is expressed in point form as the ratio of the change in y values to the change in x values, also known as the rise over run (x, y).

The point slope form is useful when there is a slope and one or more points are present. Standard form is often easier to employ while doing algebraic computations. Depending on our needs or our level of expertise, we can alter the form of an equation. Both the point slope form and the slope intercept form can be used to express the equation for a straight line. The point slope form highlights any point on the line as well as the slope. The slope and y-intercept of a line are only shown in slope intercept form.

Given,

the slope of line = - 4 and point = (2,-8)

The equation of line = y - yo = m (x - xo)

where m = slope and x,y are coordinates

y + 8 = - 4 (x - 2)

y + 8 = - 4x + 8

y = - 4x

Therefore, the correct answer is option A, y+ 8 = -4(x-2)

To learn more about point-slope form refer to:

brainly.com/question/17102554

#SPJ1

Explanation:

Any linear equation in the form y = mx+b has a constant rate of change, and that rate of change is the slope m. If b = 0, then it turns into y = mx. Here m is the constant of proportionality. Direct proportion equations always go through the origin. If b is nonzero, then y = mx+b will not be proportional.

So for example, y = 2x is proportional while y = 2x+1 is not proportional.