A railroad crew can lay 5 miles of track each day. They need to lay 145 miles of track. The length, L (in miles), that is left to lay after d days is given by the following function. =Ld−1455d

Answer: About 99.74% of births would be expected to occur within 24 days of the mean pregnancy length.

Step-by-step explanation:

Complete question is attached below.

Given: The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 8 days.

i.e. \(\sigma= 8\)

let X denotes the random variable that represents the lengths of pregnancy.

The probability of births would be expected to occur within 24 days of the mean pregnancy​ length:

\(P(\mu-24<X<\mu+24)=P(\dfrac{\mu-24-\mu}{8}<\dfrac{X-\mu}{\sigma}<\dfrac{\mu+24-\mu}{8})\\\\=P(\dfrac{-24}{8}<Z<\dfrac{24}{8})\ \ \ [\because Z=\dfrac{X-\mu}{\sigma}]\\\\=P(-3<Z<3)\\\\=P(Z<3)-P(Z<-3)\\\\=P(Z<3)-(1-P(Z<3))\\\\=2P(Z<3)-1\)

\(= 2(0.9987)-1\ \ \ [\text{ By z-table}]\\\\=0.9974\)

=99.74%

Hence, about 99.74% of births would be expected to occur within 24 days of the mean pregnancy length.

Answer:

\(\sf gradient: \dfrac{5}{3}\)

Explanation:

\(\sf slope/gradient: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)

Given points: A(6,2), B(3,-3)

\(\rightarrow \sf slope: \dfrac{-3-2}{3-6}\)

\(\rightarrow \sf slope: \dfrac{-5}{-3}\)

\(\rightarrow \sf slope: \dfrac{5}{3}\)

Answer:

Option 2:    (0,-2) and (1,0)

Step-by-step explanation:

Solutions to graphed systems of equations are the places where the graphs overlap/intersect.

For this system of equations, the red and blue graphs overlap at two points.

Since all of the answers are given as ordered pairs, it is important to know what an ordered pair means.

An ordered pair, (x,y), is a pair of numbers, written in parentheses, with a comma between them, that represent the coordinates of a point when graphed on a coordinate system.  Each coordinate measures the distance in a certain direction from the origin.  The origin is the special point at the intersection of the axes.  The axes are the dark horizontal and vertical lines with numbers next to them, representing the value at that distance along the axis.

The first coordinate of an ordered pair is the x-coordinate, and measures the horizontal distance from the origin.  Points to the right of the origin are defined to have a positive x-coordinate, and points to the left of the origin are defined to have a negative x-coordinate.

The second coordinate of an ordered pair is the y-coordinate, and measures the vertical distance from the origin.  Points above the origin are defined to have a positive y-coordinate, and below the origin are defined to have a negative x-coordinate.

Looking directly below the origin, the blue curve and the red line intersect.  Since they intersect directly below the origin, the ordered pair there must have an x-coordinate of zero because no left/right movement was required to get to this point.  Only a vertical movement was necessary.  The number on the vertical axis tells us that this point has a height of "-2", so the ordered pair for this point is (0,-2).

Looking directly to the right from the origin, the blue curve and the red line intersect again.  Since they intersect directly to the right of the origin, the ordered pair there must have a y-coordinate of zero because no up/down movement was required to get to this point.  Only a horizontal movement was necessary.  The number on the horizontal axis tells us that this point has a horizontal value of "1", so the ordered pair for this point is (1,0).

Since the two points of intersection are (0,-2) and (1,0), the correct answer would be the second choice.

Answer:

ligma

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 degrees

so

70 + 35 + x = 180 add like terms

105 + x = 180 subtract 105 from both sides

x = 75

Answer:

75  degrees

Step-by-step explanation

triangles add up to 180 degrees so, 70+35= 105 degrees, 180-105= 75 degrees

Answer:

The first one is the first picture.

The second answer is zero.

I don't know how 2 do the 3rd sry

Step-by-step explanation:

Average is the best prediction. For the given case, if someone is wanting to  work for Fast Pax, then his salary is most likely to be around $39,500

Arithmetic mean is the best central measure available for representing the values of a data set.  It is also called average of the values of the considered data set.

It serves as one representation of the values of the data set. If for a data set, only its average is given, then we can't say much about the values of the data set, but we can  say that the data values are going to be around that average (average is closest number to its data set's values compared to any other number)

It serves as predicted value(in case no other information of the data is available) of that data set.

Average provides ill information in case of skewed data.

Thus, for the given case, as average annual salary for the Fast Pax is $39,800, so we can say that, the salaries of someone who wants to work for Fast Pax would be around $39,800 most probably.

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Answer:

The data is skewed, so the mean is not a good measure of the data.

A median of $20,000 is probably a better indicator of the salary you would earn.

75% of all employees make less than $25,000 annually.

Step-by-step explanation:

An example of a homomorphism φ: R→R' satisfying the given conditions is the zero map, where φ(r) = 0' for all r in R. This map preserves the ring structure but maps the identity element of R to the zero element of R', satisfying the conditions φ(1) ≠ 0' and φ(1) ≠ 1'.

A homomorphism between rings is a function that preserves the ring operations. In this case, we want a map φ: R→R' such that it preserves addition, multiplication, and the identities, but satisfies φ(1) ≠ 0' and φ(1) ≠ 1'.

The zero map is a homomorphism that sends every element of R to the zero element of R', denoted as φ(r) = 0' for all r in R. It satisfies the conditions φ(1) ≠ 0' and φ(1) ≠ 1' because it maps the identity element 1 of R to the zero element 0' of R', which is distinct from both 0' and 1' (the identity element of R').

Although the zero map might seem trivial, it is a valid example that meets the given conditions. It demonstrates that there can be homomorphisms that map the identity element of one ring to a non-identity element in another ring.

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Answer:

C     Vertex is (2, 27)

Step-by-step explanation:

C     Vertex is (2, 27)

If she can only spend at most $30, then the inequality could be used to determine how many of each item Sally can purchase will be 12(4.50) + 2.25B ≤ 30

These are expressions not separated by an equality sign.

Since 1 dozen is equivalent to 12, hence  D dozen donuts for $4.50 each is given as $12(4.50)

The price of  B boxes of cookies for $2.25 each will be 2.25B

If she can only spend at most $30, then the inequality could be used to determine how many of each item Sally can purchase will be 12(4.50) + 2.25B ≤ 30

The less than or equal to sign is used since the maximum amount she can spend is $30

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Answer:

Step-by-step explanation:

Since the sequence above is a geometric sequence

For an nth term in a geometric sequence

where

a is the first term

r is the common ratio

n is the nth term

To find the common ratio divide the previous term by the next term

That's

So the common ratio / r = 7

the first term is - 1

Substitute the values into the above formula

We have the final answer as

Hope this helps you

Answer:

the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Step-by-step explanation:

Answer:

the slope intercept form is

Step-by-step explanation:

Algebra 1 - y=mx+b

Algebra 2 - y=mx+b

m=slope

(0, b)=y-intercept

If the total amount given the original price and tax or tip are 123.28,7. 5%, the total amount including tax is $132.52.

To find the total amount given the original price and tax or tip, we need to add the amount of tax or tip to the original price.

In this case, the original price is $123.28 and the tax is 7.5%. To find the amount of tax, we can multiply the original price by the tax rate expressed as a decimal.

Tax = 0.075 x $123.28 = $9.24

Therefore, the amount of tax is $9.24. To find the total amount, we simply add the original price and the amount of tax:

Total amount = $123.28 + $9.24 = $132.52

Note that if the 7.5% was a tip instead of a tax, we would calculate it in the same way by multiplying the original price by the tip rate expressed as a decimal.

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The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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Transportation refers to the different ways that people and/or products are moved from one location to another. The majority of the men surveyed use public transportation to get to work.

Transportation refers to the different ways that people and/or products are moved from one location to another. The ability and necessity to move increasing numbers of people or things across great distances at fast speeds in safety and comfort has grown, and this is a sign of civilization in general and of technical advancement in particular.

The majority of women surveyed use private transportation to get to work. True

The majority of the people surveyed who use private transportation to get to work are men. False

The majority of the people surveyed who use public transportation to get to work are women. True

The majority of the men surveyed use public transportation to get to work. False

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Answer:

The majority of women surveyed use private transportation to get to work.

true

The majority of the people surveyed who use private transportation to get to work are men.

false

The majority of the people surveyed who use public transportation to get to work are women.

true

The majority of the men surveyed use public transportation to get to work.

false

Step-by-step explanation:

Got this on study island

To find the coordinates of point C, we can use the concept of proportionality in the line segment AB.

The proportionality states that if a line segment is increased or decreased by a certain percentage, the coordinates of the new point can be found by extending or reducing the coordinates of the original points by the same percentage.

Given that line segment AB is increased by 25%, we can calculate the change in the x-coordinate and the y-coordinate separately.

Change in x-coordinate:

\(\displaystyle \Delta x=25\%\cdot ( 5-1)=0.25\cdot 4=1\)

Change in y-coordinate:

\(\displaystyle \Delta y=25\%\cdot ( 6-2)=0.25\cdot 4=1\)

Now, we can add the changes to the coordinates of point B to find the coordinates of point C:

\(\displaystyle x_{C} =x_{B} +\Delta x=5+1=6\)

\(\displaystyle y_{C} =y_{B} +\Delta y=6+1=7\)

Therefore, the coordinates of point C are \(\displaystyle ( 6,7)\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

In this scenario, the shape of the sampling distribution of X-bar is approximately normal.

The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.

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The greatest possible third term is when the sum of four positive integers that form an arithmetic sequence is $46 is 15

The sum of the first n terms of an arithmetical sequence is given by

n/2[2a +(n-1 d])

Where a is the first term and d is the common difference. In this situation, n=4 and the sum is 46, substituting these values,

4a +6d = 46

2a+3d=23, ……………………………………………………………..1

The nth term is given by a+(n-1)d, and we are looking at the 3rd term

so: a +2d must be a maximum

from (1): 3d=23–2a as all terms are integers, 23–2a must divisible by 3

This means that that a can only be 1, 4, 10or giving values of d, as 7, 5,1 respectively and the third term can be : 15, 14, 12 among these 15 is the largest.

Therefore if the sum of four positive integers that form an arithmetic sequence is $46$. of all such possible sequences, then the greatest possible third term will be 15

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It is a fundamental theorem of line integrals to find the value of a definite integral by finding an antiderivative and then evaluating the function at the endpoints of the curve. It is important to note that path independence implies the existence of an antiderivative.

For the curve C consisting of the two line segments from (7, 9) to (9, 8), the integral is given as ∫ (7, 9) to (9, 8) 4ydx + 4xdy.We need to prove that the integral is independent of the path i.e., regardless of the path chosen, the value of the integral remains constant.

By verifying that the following conditions are satisfied by the vector field F(x, y) = (4y, 4x) and we are able to prove that F is conservative:∂M/∂y = ∂N/∂x: Since ∂(4y)/∂y = ∂(4x)/∂x = 4, the condition is satisfied. ∂N/∂x = ∂M/∂y: Since ∂(4x)/∂y = ∂(4y)/∂x = 0, the condition is satisfied.

F is conservative. Now, we need to find the potential function f such that F = ∇f. By integrating ∂f/∂x = 4y and taking the partial derivative with respect to y, we obtain f(x, y) = 4xy + C. the value of the integral is -72.

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Answer:

9x + Z + 2

Step-by-step explanation:

6x+2+3x+Z   Simplify:

9x + 2 + Z

Answer:

The answer is 9x + 2 + Z

Step-by-step explanation:

6x+3x=9x - - - 2 - - - Z

Therefore, 9x + 2 + Z

Answer:

make it the same except the letter b

Step-by-step explanation:

The length of the missing side (hypothenuse) is equal to 5

"Information available from the question"

Opposite side of the triangle(y) = 3

Adjacent side of the triangle (z)= 4

Hypothenuse side of the triangle = x

Pythagorean Theorem

This formula is used to find the missing side of a right angle triangle if two sides are given.

\(x^{2} =y^2+z^2\)

Let's substitute the values into the formula and solve for the hypothenuse

\(x^{2} =3^2+4^2\)

\(x^{2}\) = 9 + 16

\(x^{2}\) = 25

\(x=\sqrt{25}\)

x = 5

The length of the missing side (hypothenuse) is equal to 5.

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Answer:

A.

Step-by-step explanation:

If you are having either soup or salad, you have 7 choices in total (2 kinds of soup + 5 kinds of salad). If you are having both soup and salad, you have 10 choices in total (2 kinds of soup x 5 kinds of salad).

(a) If you are having either soup or salad, you have two choices of soup and five choices of salad. To find the total choices, add the two options together:
2 (soups) + 5 (salads) = 7 choices

(b) If you are having both soup and salad, you need to find the combinations of soup and salad. To do this, multiply the number of soups by the number of salads:
2 (soups) x 5 (salads) = 10 choices

So, you have 7 choices for either soup or salad, and 10 choices for both soup and salad.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

√ 53

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1-15

Step-by-step explanation:

You should at least teach students 1-15 or 1-20

Answer:

-4x+5/3

Step-by-step explanation:

-2x+5/6

multiply by 2

-4x+5/3

you can also check by plugging in a number for x and see if the answer is the same.

Answer:

0,896

Step-by-step explanation: