the weights of dormitory cockroaches follow a normal distribution with mean 80 grams and standard deviation 2 grams. about what percent of the cockroaches have weights between 76 grams and 84 grams?

Answer:

3t(10−3x)

Step-by-step explanation:

glad i could help!

Answer:

A 4h

Step-by-step explanation:

\(7 + 2 - 5 = 9 - 5 = 4\)

Answer:

27

Step-by-step explanation:

1 + (5)(2) + (1 + 3)^2

1 + 10 + (1 + 3)^2

11 + (1+3)^2

11+4^2

11+16

27

If a math test is worth 100 points and has 30 problems and  each problem is worth either 3 or 4 points, then there are 10 4 point problems

Total number of questions = 30

Number of 3 point questions = x

Number of 4 point questions = y

The first equation will be

x + y = 30

x = 30-y

Total score of the test = 100 points

Then the second equation will be

3x + 4y = 100

Here we have to use the substitution method, substitute the value of x in the equation

3(30-y) + 4y = 100

90 - 3y +4y = 100

y = 100 - 90

y  = 10

Hence, if a math test is worth 100 points and has 30 problems and  each problem is worth either 3 or 4 points, then there are 10 4 point problems

Learn more about substitution method here

brainly.com/question/14619835

#SPJ4

Answer:

Substitute the w‘s in the equation for 2.

8(2)^2+8(2)+9

32+16+9

57

:)

The height of the cone is 16.03 inches.

The volume of the cone is  708.87 inches³.

The height of the cone can be found using Pythagoras's theorem as follows:

c²= a² + b²

where

Therefore,

17.3² -  6.5² = h²

299.29 - 42.25 = h²

h = √257.04

h = 16.0324670591

height of the cone = 16.03 inches

Therefore,

volume of the cone = 1 / 3 πr²h

volume of the cone =  1 / 3 × 3.14 × 6.5² × 16.03

volume of the cone = 2126.61995 / 3

volume of the cone = 708.873316667

volume of the cone = 708.87 inches³

learn more on cone here: https://brainly.com/question/29298750

#SPJ1

Answer: 4

Step-by-step explanation:

Journal Entry for the purchase of office equipment:

The purchase of equipment results in a debit to the asset section of the balance sheet. The credit is based on what form of payment you use as the customer.

Data:

Remaining amount on the note:

= Total cost - Cash paid

= $15,000 - $4,000

= $11,000

Read more about Journal entry

brainly.com/question/28390337

#SPJ1

We add \(-3x^3 + 5x^2 +1\) in the polynomial \(3x^3 - 2x^2 + 3\) to get the polynomial \(3x^2 +4\). So the option 4 is correct.

In the given question we have to find which polynomial should be added to \(3x^3 - 2x^2 + 3\) to get the polynomial \(3x^2 +4\).

A polynomial is a mathematical equation made up of variables, constants, and exponents that are mixed using addition, subtraction, multiplication, and division operations.

Let we add the polynomial P to get the polynomial \(3x^2 +4\).

\(3x^3 - 2x^2 + 3\) + P = \(3x^2 +4\)

Subtract the equation \(3x^3 - 2x^2 + 3\) on both side, we get

P = \(3x^2 +4\) - (\(3x^3 - 2x^2 + 3\))

P = \(3x^2 +4-3x^3 + 2x^2 - 3\)

Now simplifying the expression

P = \(-3x^3 + 5x^2 +1\)

So we add \(-3x^3 + 5x^2 +1\) in the polynomial \(3x^3 - 2x^2 + 3\) to get the polynomial \(3x^2 +4\). So the option 4 is correct.

To learn more about polynomial solving link is here

brainly.com/question/30127172

#SPJ4

Answer:True
example:

89 and 84, 8 are equal, but next 9 is bigger than 4

Answer:

answer is 3 ok alright kg

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

^^^

Answer:

A.

Twice the sum of a number and three means that the number and three are in parentheses.

The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

to learn more about value  click here

brainly.com/question/30760879

#SPJ11

Answer:

8.6 meters

Step-by-step explanation:

a² + b² = c²    means        leg² + leg² = hypotenuse ²

5² + 7² = hypotenuse²

25 + 49 = hypotenuse²

74 = hypotenuse ²

\(\sqrt{74}\) = hypotenuse

8.6 = hypotenuse

If a tailor bought 5 yards of cloth he used  \(2\frac{3}{8}\) yards of cloth to make 1 pair of pants and he made 2 pairs, the length of the cloth that left is 1/4 yards

The total length of the cloth that he bought = 5 yards

The length of cloth that he used to make 1 pair of pants = \(2\frac{3}{8}\) yards

Convert the mixed fraction to the simple fraction

\(2\frac{3}{8}\) yards = 19/8 yards

The length of cloth required to make 2 pants = 2 × The length of cloth that he used to make 1 pair of pants

Substitute the values in the equation

= 2 × (19/8)

= 19/4 yards

The remaining cloth = The total length of the cloth that he bought - The length of cloth required to make 2 pants

= 5 - (19/4)

= 1/4  yards

Hence, the length of the cloth left is 1/4 yards

Learn more about mixed fraction here

brainly.com/question/13059128

#SPJ4

Step-by-step explanation:

When x = 2 and y = -1,

(x + y)³ - (x - y)³

= (2 - 1)³ - [2 - (-1)]³

= (1)³ - (3)³

= 1 - 27

= -26.

Answer:

33.3333333333

Step-by-step explanation:

we see that there are 6 candies in total

we also see that there is a 50% chance that someone will take out 3 candies of the same color,

50/3 = 16.66666666666667

so the chance of getting 2 marbles of the same color is 16.66666666666667 + 16.66666666666667 which is 33.3333333333

I hope I could help

The given statement "For a second-order homogeneous linear ordinary differential equation (ODE), an initial value problem (IVP) consists of an equation and two initial conditions" is True because  A second-order homogeneous linear ODE is an equation of the form ay''(t) + by'(t) + cy(t) = 0, where y(t) is the dependent variable, t is the independent variable, and a, b, and c are constants.

The equation is homogeneous because the right-hand side is zero, and it is linear because y(t), y'(t), and y''(t) are not multiplied or divided by each other or their higher powers. An IVP for this type of equation requires two initial conditions because the second-order ODE has two linearly independent solutions.

These initial conditions are typically given in the form y(t0) = y0 and y'(t0) = y1, where t0 is the initial time, and y0 and y1 are the initial values of y(t) and y'(t), respectively.

The two initial conditions are necessary to determine a unique solution to the second-order ODE. Without them, there would be an infinite number of possible solutions. By providing the initial conditions, you establish constraints on the solutions, which allow for a unique solution that satisfies both the ODE and the initial conditions.

In summary, an IVP for a second-order homogeneous linear ODE consists of an equation and two initial conditions, ensuring a unique solution to the problem.

Know more about ODE here:

https://brainly.com/question/19130837

#SPJ11

Answer:

Step-by-step explanation:

This is part of the Isosceles Triangle Theorem. If one theta is equal to the other theta (and they are or else they wouldn't both be theta; one would be theta and the other might be beta), that means that the sides across from those congruent angles are also congruent. That means that

6x + 6 = 9x - 9 and

15 = 3x so

x = 5

Answer:

$40000

Step-by-step explanation:

640160≈640000

640000/16=40000

The inverse of the given set of points {(1, -2), (4, 7), (8, -11)} is {(-2, 1), (7, 4), (-11, 8)}.

The formula for the inverse of a point (x, y) is given by: (y, x).

The inverse of the point (x, y) is (y, x).

The inverse of a set of points can be found by applying this formula to each point in the set.

Inverse of these points can be found by interchanging x and y coordinates of each point in the given set.

Therefore, the inverse of the given set of points {(1, -2), (4, 7), (8, -11)} is {(-2, 1), (7, 4), (-11, 8)}.

To know more about inverse, visit:

https://brainly.com/question/30339780

#SPJ11

43³/₄% can be expressed as a decimal to give 43.75%, which can be pronounced as forty-three point seventy-five percent.

A decimal value is a number that contains a whole and a fractional part.

Mathematically, decimal values are expressed using the decimal sign (.).

43³/₄%, which is a fractional value that can be changed into a decimal value thus:

= 43% + ³/₄%

= 43% + 0.75%

= 43.75%

Thus, 43³/₄%, which is forty-three-three-fourth percent, can be expressed as a decimal to give 43.75%.

Learn more about decimal values at https://brainly.com/question/1827193

#SPJ1

Answer:i dont see anything

Step-by-step explanation:

Answer:

y = 3x + 7.

To graph the line mark off the 2 points and draw a line through them.

Step-by-step explanation:

The slope = (-2-7) / (-3-0)

= -9/-3

= 3.

The value of b is found using the point-slope form of a line:

y - y1 = m(x - x1)

using m = 3, (x1, y1) = (0, 7):

y - 7 = 3(x - 0)

y = 3x + 7.

Answer:

a. f(x) = 1/(x ^2 + 1)

b. [1, 0)

Step-by-step explanation:

1/2 = 1/(1^2 + 1)

1/5 = 1/(2^2 + 1)

1/10 = 1/(3^2 + 1)

1/17 = 1/(4^2 + 1)

===> f(x) = 1/(x ^2 + 1)

b. f(0)=1, f(°°)=0

range => [1,0)

Here is a program that declares two arrays of integers with the given values and a function match which takes two integer arrays (one and two) and returns the number of times "matches" occur in parallel positions in the two arrays.

The size of both arrays is the same.

The arrays are passed as parameters along with their size.

Program#include
#define SIZE 12
int match(int one[], int two[], int size);
int main()
{
   int one[SIZE] = {15, 3, 5, 87, 22, 56, 11, 6, 9, 26, 43, 12};
   int two[SIZE] = {2, 3, 54, 66, 98, 56, 10, 4, 9, 43, 33, 12};
   int matches = match(one, two, SIZE);
   printf("The two arrays have %d matches\n", matches);
   return 0;
}
int match(int one[], int two[], int size)
{
   int count = 0;
   for (int i = 0; i < size; i++) {
       if (one[i] == two[i]) {
           count++;
       }
   }
   return count;
}

Output

The two arrays have 4 matches

Explanation

The program first declares two integer arrays, one[] and two[], with the given values.

The program then calls the match() function and passes the two arrays and the size of the arrays as arguments.

The function match() counts the number of times matches occur in parallel positions in the two arrays by iterating over both arrays and comparing the values at each index.

If the values at the current index are the same, the count variable is incremented.

The function then returns the count.

Finally, the main() function displays the number of matches returned by the match() function.

To know more about program, visit:

https://brainly.com/question/30613605

#SPJ11

Answer:

First, do 15/12 then take that and divide by 500!

Step-by-step explanation:

Emily has to pay $41.31 for the shirt after adding coupon and discount.

How to find the Cost Price (CP) of any discounted item?

Lets say CP = 54 and the discount is of 15% i.e. marked price

So, Marked Price= 85% of CP = 45.9

Lets apply the additional coupon of 10% on Marked Price.

Therefore, the payment amount = 90% of MP

payment amount = $41.31

To know more about Cost Price, visit:

brainly.com/question/30175345

#SPJ9

Answer:

they are doing a multiples of -8

Answer:

The answer is - 8

Step-by-step explanation:

\(slope = \frac{y2 - y1}{x2 - x1} \\ by \: using \: any \: two \: point \: \\ then \: slope = \frac{ - 16 - ( - 8)}{2 - 1} = \frac{ - 8}{1} \\ slope = - 8\)