Amy cut 32 feet of chain into pieces that were each ft long. How many of these pieces did Amy have after cutting the chain?

The probability of observing more than 3 errors in the carpet is 0.003358

This is a Poisson distribution problem with a mean of 0.6. The probability of observing x errors in a Poisson distribution with mean (λ) is given by the following formula:

Probability(x) = (λ^x · e^(-λ)) / x!

Probability (x>3) = 1 - Probability(x ≤ 3)

Probability(x>3) = 1 - ( [(0.6⁰ × e^(-0.6)) / 0!] +  [(0.6¹ × e^(-0.6))/ 1!]  +  [(0.6² × e^(-0.6))/ 2!] + [(0.6³ × e^(-0.6))/ 3!])

Probability(x>3) = 1 - 0.9966

Probability(x>3) = 0.003358

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Answer:

There are 14 4-point questions and 26 2-point questions.

Step-by-step explanation:

m  = number of 4-point questions

n = number of  2-point questions

m+n =40

4m + 2n =108

You can solve system by elimination:

Multiply the 1st equation by -4 and keep the 2nd equation the same.

−4(m+n=40) → -4m -4n= -160

                       4m+2n=108 add them up

-2n = -52 divide both sides by -2

n = 26

plug it back in to solve for m

m + n = 40 →m + 26 =40 subtract 26 to both sides

m = 14

Answer:

m=14, n=26

Step-by-step explanation:

There is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less.

To find the probability of a sample proportion of 0.48 or less if the true population proportion is 0.60, we can use the sampling distribution of the sample proportion and the z-score.

Given:

Sample size (n) = 100

Observed sample proportion ) = 0.48

True population proportion (p) = 0.60

To find the probability, we need to standardize the observed sample proportion using the z-score formula:

z = ( - p) / √(p * (1 - p) / n)

Substituting the values:

z = (0.48 - 0.60) / √(0.60 * (1 - 0.60) / 100)

= -0.12 / √(0.24 / 100)

= -0.12 / √0.0024

= -0.12 / 0.049

Using a standard normal distribution table or a statistical calculator, we can find the probability associated with the z-score.

The probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is the probability to the left of the z-score obtained.

P ≤ 0.48) = P(z ≤ -0.12)

Using a standard normal distribution table, we find that the probability of z ≤ -0.12 is approximately 0.4522.

Therefore, the probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is approximately 0.4522 or 45.22%.

This means that there is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less, if the true population proportion is 0.60.

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Answer:

88km is your answer

Step-by-step explanation:

brainlest pls

Answer:

Step-by-step explanation:

Step one:

given that the total lenght of the wire is 25 1/2 inches

in decimal, this is 25.5 inches

we are told that each earring requires 3/4 in of wire

in decimal this 0.75 in

Step two:

The number of earrings that can be mad is found by dividing the total length of wire by the length needed to make one earring

The number of earrings that can be made is given as

=25.5/0.75

=34 earrings

The point on the segment AB that is 6/7 of the way from A to B is given as follows:

D. (-7 and 4/7, 17).

The coordinates of the point are obtained applying the proportions in the context of the problem.

The point is 6/7 of the way from A to B, hence the equation is given as follows:

P - A = 6/7(B - A)

The x-coordinate of the point is given as follows:

x - 1 = 6/7(-9 - 1)

x - 1 = -8.57

x = -7.57

x = -7 and 4/7.

The y-coordinate of the point is given as follows:

y - 5 = 6/7(19 - 5)

y - 5 = 12

y = 17.

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Answer:

5640

Step-by-step explanation:

Answer:

5640 because the number 5 thats in the ones place is big and it is greater than four so therefore it rounds up to 40

Answer:

options C and D is the answer

The roots of the equation x² + 1 = 5x are  x=5+√21/2 and x=5-√21/2

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation is x² + 1 = 5x

Now let us convert to in the form of ax²+bx+c=0

Subtract 5x from both sides

x² -5x+1=0

a=1, b=-5 and c=1

x=-b±√b²-4ac/2a

x=5±√25-4(1)/2

x=5±√21/2

So the roots are x=5+√21/2 and x=5-√21/2

Hence, the roots of the equation x² + 1 = 5x are  x=5+√21/2 and x=5-√21/2

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A mathematical combination of numbers and letters that result in the desired answer is called an algebraic expression.

Expression:

An expression contains minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

Given:

A mathematical combination of numbers and letters that result in the desired answer is called.

Here we need to find the term that is suitable for this definition.

Here the answer is algebraic expression.

Basically, the algebraic expression is the combinations of variables , numbers, and at least one arithmetic operation.

For example,

2x + 3y = 5

Where

x and y are variables

2,3 are coefficients of ax and y

5 is the constant

+ and = are the arithmetic operators.

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Answer:

8

Step-by-step explanation:

16 inchers = 128 feet

128/16=8

so 1 inch = 8 feet

Answer:

16 inches:128 feet = 1 inch:8 feet

EXPLANATION:

Given;

We are given the triangle DEF on the coordinate plane. The coordinates are also given as follows;

Required;

We are required to calculate the area of triangle DEF.

Step-by-step solution;

We shall begin by drawing up the triangle with the coordinates given, on a graph page;

Observe that the points DEF has been appropriately labeled. The length of side FD is 8 units (that is, from point 0 to 8), the length of side FE is 2 units.

We now have the base (side FE) and the vertical height (side FD), we can calculate the area of the triangle using the formula;

Where the variables are;

The area therefore is;

We now have;

ANSWER:

Area = 8 square units

The first option is the correct answer

Answer: 5x+3(2x)=4

Step-by-step explanation:

5x+3y=4   (1)

y=2x         (2)

Substitute the equation (2) into the equation (1):

5x+3(2x)=4

Answer:mean you have to switch define

1. Subtraction property of equality

2. Division property of equality

Step-by-step explanation:

Step-by-step explanation:

0.4x+3.9=5.78

0.4x=5.78-3.9

0.4x=1.88

x=1.88

0.4

x=4.7 ans

hope u want this.

Answer:

2 cents

Step-by-step explanation:

because it was 40 cents in 20 years and 2x20=40

Hope this helps :)

Given that the formula is given as z(m/s²) = a x(m³) + b cos (y) Wherea, b, and y are the unknown terms.To determine the units of a, b, and y, we need to check the units of each term present in the equation. The unit of displacement or distance is meters (m).The unit of acceleration is meters per second squared (m/s²).Unit of cos(y) is not there, but we know that cos(y) is a unitless term.Therefore, the given equation can be written askg x m/s² = kg/m x m³ + b x 1There we can see that the unit of the term on the left side of the equation is kg x m/s² which is equal to Newton (N).Therefore, the unit of the term on the right side of the equation is also in Newton (N).Hence,The unit of "a" is N/m³The unit of "b" is NThe unit of "y" is unitless.

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Answer:

The answer is 1.25 km = 1,250

                       1.7 cm =17 mm

                       345 m = 0.345 km K12 test.

Step-by-step explanation:

The answer is 1.25 km = 1,250

                      1.7 cm =17 mm

                      345 m = 0.345 km K12 test.

The Quadratic equation has two distinct real roots, so the graph and the line intersect at two different points

Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for these graphs

We are given that, Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations.

Therefore, the equation can be written as, y = ax² + bx + c and y = mx + n where a, b, c, m, and n are constants.For this system of equation, we need to find the greatest possible number of intersections for the graphs.

For two non-parallel lines on a plane, they can intersect at most at one point. Therefore, if the graphs intersect at all, they must intersect at one point only.On the other hand, a parabola can intersect a line at most twice or not at all.

The number of intersections depend on the discriminant of the quadratic equation or in other words, the value of b² - 4ac.In our case, we have a quadratic equation and a linear equation given. So, it is possible that the graphs of these equations can intersect at most twice or not at all. Hence, the answer is (C) two.

Note: When the discriminant is negative, the quadratic equation has no real roots, so the graphs do not intersect. When the discriminant is zero, the quadratic equation has a double root, so the graph and the line intersect at only one point. When the discriminant is positive,

the quadratic equation has two distinct real roots, so the graph and the line intersect at two different points.

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The basic difference between binary number system and hexadecimal number system 7

What is meant binary number?

Binary number system, in mathematics, positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system.

What is the hexadecimal of 7?

00000111

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Answer:

1/12 and 1/3

Step-by-step explanation:

There are 2 choices for flipping a coin (heads or tails) and 6 choices for rolling the die (1 - 6) so the total possible outcomes are 2 * 6 = 12. Of these, there's only one possibility where we get a tail and a 5 so the answer to b is 1/12. For c, there's only one head but there are 4 numbers less than 5 (1 - 4) so the total number of outcomes that satisfy our condition is 1 * 4 = 4 which makes the probability 4/12 = 1/3.

Answer:

Step-by-step explanation:

The probable results are:

Head + 1/2/3/4/5/6

Tail + 1/2/3/4/5/6.

B. This gives 12 results and tail + 5 is one of them, so the probability of getting that is 1/12.

C. A result with a head and a number less than 5 is available 4 times, making the fraction 4/12 or 3/4

Hope this helps

Answer:

The point representing the y-intercept is: (0, -3)

The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

The point representing the x-intercept is: (10.5, 0)

The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Step-by-step explanation:

Given the linear equation

-2x+7y=-21

Determining the y-intercept

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in the equation

-2x+7y=-21

-2(0) + 7y = -21

0+7y = -21

7y = -21

divide both sides by 7

7y/7 = -21/7

y = -3

Therefore, the point representing the y-intercept is: (0, -3)

The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

Determining the x-intercept

We know that the value of x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

substituting y = 0 in the equation

-2x+7y=-21

-2x+7(0) = -21

-2x + 0 = -21

-2x = -21

divide both sides by -2

-2x / -2 = -21 / -2

x = 21/2

x = 10.5

Therefore, the point representing the x-intercept is: (10.5, 0)

The graph of the linear equation containing the y-intercept (0, -3) and x-intercept (10.5, 0) is shown and attached below.

The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Please check the attached graph.

Answer:          IQR = 16

Step-by-step explanation:

The given data is 25 th percentile is 64, 50th percentile is 74 and 75 th percentile is 80.

percentage : 25    50   75

 score        : 64    74    80

Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is  observation

term

If the number of observations is even, then the median is  observation and  observations.

given n=3, middle term is '74'

In this given data the median is (M) = 74

Interquartile range IQR = median of upper half-median of lower half

                                      = 80-64

                                      = 16

                           IQR = 16

The weakest correlation is represented by the value of c. 0.11.

The weakest correlation is represented by the value that is closest to zero, as it indicates a weaker relationship between the variables. In this case, the answer is: c. 0.11

A correlation coefficient of 0.11 is closer to zero than the other options provided, indicating a weaker correlation compared to the rest. The negative values (-0.75 and -0.27) represent negative correlations, but their magnitudes are larger than 0.11, making them stronger correlations (although still considered weak in general). The positive value of 0.54 represents a moderate positive correlation.

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Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

Refer to the attached image.

Answer: \(t \approx 11.18 \ days\)

Generic exponential growth model: y = Ao[1+r]^t

In this case: r = 6.2% = 0.062

y = 2Ao .....[the double of the initial value]

Then: 2Ao =Ao (1 + 0.062)^t

(1.062)^t =2

Take logarithm to both sides

t ln(1.062) = ln(2)

t = ln(2) / ln(1.062)

11.1789

Hence, the population doubles in 11.18 days

Answer:

6ix9ine..69. ..

Step-by-step explanation:

m...vgcty

Answer:

40%

Step-by-step explanation:

It would be 40% percent because when you divide 84 by 60 you would get 1.4. The 1 is the price staying the same. The .4 is the precentage. You would get 40% by moving the decimal to the right of the number