Increase 386.3 by 4%

A manufacturing company is concerned about the high rate of accidents that occurred on the report to be sent to the government agency for safety.

The probability of six accidents occurring in a week when the average number of accidents per week has been 3.5 is given as follows: Mean.

= λ = 3.5

The probability of six accidents occurring in a week is

\(P(x=6)P(x = 6)

= (e-λ * λ^x)/x!\)

Were,

x = 6, e

= 2.71828,

λ = 3.5

We need to find the value of

\(P(x = 6)P(x = 6) = (e-λ * λ^x)/x!\)

=\((2.71828^(-3.5) * 3.5^6)/6! ≈ 0.1045T\)

therefore, the probability of six accidents occurring in a week when the average number of accidents per week has been 3.5 is 0.1045.

This means that there is a 10.45% chance of 6 accidents occurring in a week. Note: The answer provided is 101 words.

To know more about week visit:

https://brainly.com/question/31596416

#SPJ11

Answer:

A. England = 56000000

B. 1.046 * 10^7

C. 9.7 to 2sf

Step-by-step explanation:

A. England = 5.60*10000000

=56000000

B. Wale = 3.14*1000000 = 3140000

Scotland = 5.44*1000000 = 5440000

Northern Ireland = 1.88*1000000 =1880000

Total = 10460000

In standard form =1.046*10^7

C. Total population as at 2018 = 66460000

expected population by 2041 = 72900000

increase or change = (72900000 - 66460000) = 6440000

% change = (6440000/66460000)*100

= 0.0969003912 * 100

= 9.69003912

= 9.7 to 2sf

The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

Read more about equations at

brainly.com/question/148035

#SPJ1

(u - 5 + (7))(u - 5 - (7)) = 0 is the equation we created in u that simplifies to 2u2 - 20u + 36 = 0.

The two forms of equations are identity equations and conditional equations. The variables all have the same identity for all conceivable values.

Creating an equation in u that can be solved for 2u² - 20u + 36 = 0

It indicates that the following are the solutions for x for a quadratic equation of the form ax² + bx + c = 0:

x = (-b±√(b²-4ac))/2a

By dividing both sides by 2, we can rewrite the equation 2u2 - 20u + 36 = 0 as follows:

u² - 10u + 18 = 0

u = (-(-10) ± √((-10)² - 4(1)(18))) / 2(1)

Simplifying this expression, we get:

u = (10 ± √(100 - 72)) / 2

u = (10 ± √(28)) / 2

u = (10 ± 2√(7)) / 2

u = 5 ± √(7)

A quadratic equation with roots r1 and r2 can be expressed as: This allows us to merge the two solutions into a single equation.

(x - r1)(x - r2) = 0

By substituting in the two answers we discovered for u, we obtain:

(u - 5 + √(7))(u - 5 - √(7)) = 0

Extending this phrase results in:

u² - 10u + 18 = 0

To know more about equation visit:-

https://brainly.com/question/29030053

#SPJ1

Answer:

4/25= .16

.16= 16%

that means 17% is higher

Step-by-step explanation:

By getting the exponential decay that models the situation, we will see that after 8 weeks she uses 0.12 cups.

We know that the first week, she uses 2 cups of sugar, and each week she uses removes one-third of what she used the previous week.

Then the second week she uses:

S₂ = 2 cups - (1/3)*(2 cups) = 2 cups*(1 - 1/3) = 2 cups*(2/3)

The third week she uses:

S₃ = 2 cups*(2/3) - (1/3)*2 cups*(2/3) = 2 cups*(2/3)^2

You already can see the pattern, at week x, she will use:

Sₓ = (2 cups)*(2/3)^(x - 1)

This is an exponential decay.

To get how much sugar does she uses after 8 weeks, we just replace x by 8 in the above equation:

S₈ = (2 units)*(2/3)^(8 - 1) = 0.12 cups of sugar.

If you want to learn more about exponentials, you can read:

https://brainly.com/question/11464095

Answer:

Ratio of their heights is 8 ft and 20 ft.

Step-by-step explanation:

It is given the volumes of similar prisms are 512 ft^3 and 8000 ft^3,

Please remember the concept if two shapes are similar and their sides are in the ratio a:b

Then their area is in the ratio of \(a^{2} :b^{2}\)

And their volume is in the ratio of \(a^{3} :b^{3}\)

So, if we take cube root of the given volumes it would give us the ratio of heights.

So, ratio of heights of similar shapes =\(\sqrt[3]{512} :\sqrt[3]{8000}\)

Simplify them.

So, ratio of heights =8 : 20

The function f(x) = e^x^2 is not injective (one-to-one) on its natural domain because it fails the horizontal line test. This means that there exist different values of x within its domain that map to the same y-value. In other words, there are multiple x-values that produce the same output value.

To find the largest possible domain A, where all elements of A are non-negative and f(x) is defined, we need to consider the domain restrictions of the exponential function. The exponential function e^x is defined for all real numbers, but its output is always positive. Therefore, in order for f(x) = e^x^2 to be non-negative, the values of x^2 must also be non-negative. This means that the largest possible domain A is the set of all real numbers where x is greater than or equal to 0. In interval notation, this can be written as A = [0, +∞). Within this domain, all elements are non-negative, and the function f(x) is well-defined.

To learn more about exponential function : brainly.com/question/29287497

#SPJ11

Answer:

its 6

Step-by-step explanation:

Answer:

Option D, 5 ounces

Hope this helps!

6561m⁴ is the value of the expression (9m)⁴ without applying the exponent property.

What is an exponent?

The type of mathematical shorthand known as exponential notation enables us to write complex expressions more concisely. The base, which can be either a number or letter, is an exponent. It implies that the base is to be raised to a specific level of power. While n is the power, X is the base.

The expression is (9m)⁴.

The value of the expression (9m)⁴ without applying the property of the exponent will be

→ 9m × 9m × 9m × 9m

(we've simply expanded  (9m)⁴ )

which on further simplifying gives,

→ 6561m⁴

to learn more about exponents visit:

https://brainly.com/question/5497425

#SPJ9

The linear equation that shows a proportional relationship is y equals two thirds times x.

A proportional relationship is a relationship between two variables in which one variable is a constant multiple of the other. In other words, if y is directly proportional to x, then y = kx for some constant k. This can also be written as y/x = k, where k is the constant of proportionality.

The linear equation that shows a proportional relationship is y = 2/3x.

It shows a direct relationship because the coefficient of x (2/3) is constant, and there is no constant term (y-intercept) which breaks the proportionality.

The other equations do not show a proportional relationship because they have a coefficient that varies with x or a constant term.

Learn more about proportional relationship here: https://brainly.com/question/20374537

#SPJ4

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

To learn more about differential click here : brainly.com/question/31383100

#SPJ11

Answer:

(-0.8, 2.2)

Step-by-step explanation:

Where the two lines intersect is the solution to the System of Equations.

Answer:

the answer would be (-0.8, 2.2) since it hasn't hit -3 yet and if it were to be -1 it would be in the bottom left

The change the you would expect in the predicted y is C. Decrease by 2

It should be noted that to determine the change in the predicted y, we need to calculate the effect of the change in x1 and x2 on y, while holding x3 and x4 constant.

The coefficients of x1 and x2 are 2 and -6, respectively. Therefore, increasing x1 by 2 units will result in a change in y of 2(2) = 4 units, while increasing x2 by 1 unit will result in a change in y of -6(1) = -6 units. Since x3 and x4 remain unchanged, they have no effect on the change in y.

Therefore, the predicted y will decrease by 2 units when x1 increases 2 units and x2 increases 1 unit, while x3 and x4 remain unchanged.

Learn more about prediction on

https://brainly.com/question/25955478

#SPJ1

x-value that corresponds to the z-score of 2.33 is 81.65.

Mean = 70

Standard deviation = 5

z score = 2.33

Using the z-score formula:

z = (x - mean) / SD

Plug the values:

2.33 = (x-70)/5

    x = 5(2.33) +70

    x = 81.5

Find out more information about the z-score here: brainly.com/question/17436641

#SPJ4

Answer: f(n+1) = 3 f(n)

Step-by-step explanation:

Given sequence : 2.5, 7.5, 22.5, 67.5, 202.5,...

Here,

\(2.5\times 3=7.5\\7.5\times3= 22.5\\22.5\times 3= 67.5\\67.5\times3=202.5\)

Common ratio = 3

Let f(n) be a term in this sequence then the next term will be f(n+1) = 3 f(n), where n is a natural number .

Required recursive formula :  f(n+1) = 3 f(n)

If a number is divisible by 5 and 7, then that number is divisible by LCM(5, 7) = 35. So count the multiples of 35 in the range.

Since

9999 = 35•285 + 24

we know there are 285 multiples of 35 among the positive integers 1-9999. We also have

1000 = 35•28 + 20

so there are 28 multiplies of 35 less than 1000.

Then there are 285 - 28 = 257 multiples of 35 in the given range.

Answer:

angle of depression = 38.1°

Step-by-step explanation:

tan x = 29/37

tan x= 0.784

x = tan-¹ 0.784

x = 38.1°

Answer: 12

Step-by-step explanation:

math

Answer:

12

Step-by-step explanation:

-3(-4-5) + 7(7) - \((9-7)^{6}\)

-3(-9) + 49 -\(2^{6}\)

27 + 49 - 64

12

Helping in the name of Jesus.

3 7/9

Step-by-step explanation:

34/9

= 34 ÷ 9 = 3 remain 7

= 34 = 9 × 3 + 7

so

34/9

= 3 7/9

Answer:

34/9 is already in it's simplest form but can be written as a decimal:  3.777778

Step-by-step explanation:

1. Find the HCF of both numbers which is 1

2. Divide them both by the HCF

3. 34/1 = 34

4. 9/1 = 9

5. Therefore there is no simpler fraction but you can write it as a decimal.

Answer:

Yay!!!! Ty for the points!!!!!!!!!!!

I don't have a fav character....I luv BTS - they r real!!!

Answer:

Reflection across the x-axis

Step-by-step explanation:

The points are the same, just opposite of one another. The image looks as if it is a reflection. Think of the x-axis like a puddle and the shape looking into it; try to picture the image seeing its reflection to help.

Answer:

Reflection across the x-axis.

Step-by-step explanation:

The triangles mirror each other with the x-axis acting like said mirror.

This is an example of substitution because you have substituted the 'y' variable to find the 'x' variable.

Hoped this helped.

\(BrainiacUser1357\)

Since they polled 22 people and this is a very small sample size to represent the entire population,

So it would have large chances to get inaccurate results.

Then, the wrong with this poll is

"The conclusion is based on a small sample."

Answer:

50,000 in scientific notation is 5 x 10^4

Step-by-step explanation:

10^4 = 10,000 x 5 = 50,000

Answer:A

Step-by-step explanation:

The calculated correlation coefficient (r) is approximately -0.291.

To calculate the correlation coefficient between telomere length and chronicity, we can utilize the given summary data. The correlation coefficient, often denoted as r, measures the strength and direction of the linear relationship between two variables.

Let's denote the sum of products as Σxy, the sum of squares for chronicity as Σx², the sum of squares for telomere length as Σy², and the total sample size as n.

From the given data, we have the following values:

Σxy = -8.822

Σx² = 318.817

Σy² = 2.868

n = 38

The correlation coefficient (r) can be calculated using the following formula:

r = Σxy / √(Σx² * Σy²)

Substituting the given values into the formula:

r = -8.822 / √(318.817 * 2.868)

Now, let's solve this equation step by step:

First, multiply the values inside the square root:

r = -8.822 / √(913.350956)

Next, calculate the square root:

r = -8.822 / 30.219307

Finally, divide Σxy by the square root of the product of Σx² and Σy²:

r ≈ -0.291

To know more about correlation coefficient here

https://brainly.com/question/29978658

#SPJ4

The sum of two integers is also an integer.

What is an integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.

When we conduct an operation on set members and always obtain a set member, the set is said to be closed under that operation. As a result, a set either possesses closure regarding a particular operation or it does not. A set is said to satisfy a closure property if it is closed by an operation or set of operations. A closure property is typically introduced as a hypothesis, known as the axiom of closure.

If a and b two integer.

Then the sum of the integer a + b is also an integer. Thus addition operation closer property.

To learn more about closer property, click on below link:

https://brainly.com/question/29798480

#SPJ4