At one university, the mean distance commuted to campus by students is 19.0 miles, with a standard deviation of 4.2 miles. Suppose that the commute distances are normally distributed. Complete the following statements. (a) Approximately 95% of the students have commute distances between miles and miles. (b) Approximately 7 miles and 31.6 miles. of the students have commute distances between 6.4

Answer:

27218

Step-by-step explanation:

17000 * (1.04)^12

Then, find the number in the whole number place 7 and look one place to the right for the rounding digit on the right side of the decimal point 5. 5 or more, let it soar. 4 or less, let it rest.

ANSWER:

27218

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

Learn more about Fractions:

https://brainly.com/question/78672

#SPJ4

You will need amount of 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.

To calculate how much butter is needed for 3 cups of flour in a recipe, start by identifying that the recipe requires a ratio of 1 cup of butter for every 2 cups of flour. To get the amount of butter needed for 3 cups of flour, multiply 1 cup of butter by 1.5. This will give you 1.5 cups of butter, which is the amount needed for 3 cups of flour.  Therefore, you will need 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.  To ensure accuracy, it is recommended to measure the ingredients carefully and double check your calculations before proceeding.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

Answer:

price of hotdog = $1
price of drink = $0.5

Step-by-step explanation:

let the price of hotdogs be x

let the price of drinks be y

10x + 5y = 12.50 ------- 1st eq

7x + 4y = 9 -------------- 2nd eq

10x + 5y = 12.50 ------------ ×4

7x + 4y = 9 -------------------- ×5

40x + 20y = 50

(-)35x + (-)20y = (-)45

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

5x = 5

x = 1

put the value of x in any of the prior eq.

(7)(1) + 4y = 9
4y = 9-7

y = 2/4

y = 1/2

answer:

price of hotdog = $1
price of drink = $0.5

If 300 people were sampled instead of 200, and the confidence level remained the same, it would produce a more accurate result.

Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 students. In statistics, sampling allows you to test a hypothesis about the characteristics of a population.

This is because a larger sample size allows for a better representation of the population, providing a more accurate result. Additionally, with a larger sample size, the confidence interval of the sample would be narrower, indicating a higher level of confidence in the accuracy of the result.

To learn more about sampling refer :

https://brainly.com/question/6979326

#SPJ11

Based on the types of angle pairs we have:

1. Angles 1 and 5, 2 and 6, 3 and 7, 4 and 8

2. Angles 3 and 5, 4 and 6

3. Angles 3 and 6, 4 and 5

4. Angles 1 and 8, 2 and 7

5. Angles that are supplementary to 120°

6. Angles 3, 5, and 7

7. a. Angles 1 and 2; m<2 = 180 - 100 = 80°

b. Angles 1 and 2; m<2 = 75°

c. Angles 1 and 2; m<2 = 82°

d. Angles 1 and 2; m<2 = 77°

8. m<1 = 100°

9. a. m<1 = 127°; b. m<3 = 53°

Some types of pairs of angles include:

From the given figure, we have:

1. Angles 1 and 5, 2 and 6, 3 and 7, 4 and 8 are pairs of corresponding angles.

2. Angles 3 and 5, 4 and 6 are pairs of same side, interior angles.

3. Angles 3 and 6, 4 and 5 are alternate interior angles.

4. Angles 1 and 8, 2 and 7, are alternate exterior angles.

Using the figure given, we can determine the following:

5. Angles that are supplementary to 120 degrees are: angles 1, 2, 7, and 6.

6. Angles that are congruent to 120 degrees are: angles 3, 5, and 7

7. a. Angles 1 and 2 are Same side interior angles

m<2 = 180 - 100 = 80°

b. Angles 1 and 2 are alternate interior angles.

m<2 = 75°

c. Angles 1 and 2 are corresponding angles.

m<2 = 82°

d. Angles 1 and 2 are alternate exterior angles.

m<2 = 77°

8. The student made an error by thinking angle 1 is supplementary to the given angle.

Both angles are alternate interior angles, therefore:

m<1 = 100°

9. a. m<1 = 180 - 53 = 127°

b. m<3 = 53°

Learn more about the types of angle pairs on:

https://brainly.com/question/2320637

#SPJ1

Answer:

  100

Step-by-step explanation:

You want the number of distinct sequences of 4 letters from the word "problem" that have "l" as the first letter, and not "p" as the last letter.

There are 7 distinct letters in the word "problem". If the first letter of the "words" we're making must be "l", then the remaining three letters of the word are chosen from the remaining 6: "probem".

The number of permutations of 6 things taken 3 at a time is ...

  P(6, 3) = 6!/(6 -3)! = 6·5·4 = 120

That count includes the number that end in 'p'. When "l" is the first letter and "p" is the last letter, the middle two letters are chosen from the 5 "robem". There are 5!/(5-2)! = 5·4 = 20 ways to have words starting with "l" and ending in "p". We don't want to count those, so the number of letter sequences we can make is ...

  120 -20 = 100

100 distinct sequences of 4 letters can be made with first letter "l" and last letter not "p".

The correct definition for the lines drawn to circle with centre C are:

A circle is a spherical shape without boundaries or edges.

Thus, on the basis of propertied of circle, the correct definition for the lines drawn to circle with centre C are:

know more about the circle,

https://brainly.com/question/24375372

#SPJ1

The congressional decision to fund an authorized program with a specific sum of money is called an appropriation.Appropriations play a significant role in shaping government spending and implementing policies and programs.

An appropriation refers to the act of setting aside a specific amount of funds by Congress for a particular purpose or program. It is a legislative action that determines the amount of money allocated to support authorized activities or initiatives. When Congress passes an appropriation bill, it authorizes the expenditure of funds for specific programs or agencies. This decision is crucial in the budgeting process, as it determines the financial resources available for various government programs and ensures that authorized activities receive the necessary funding.

Learn more about appropriation bill here:

https://brainly.com/question/29254157

#SPJ11

Answer:

40 nickels

45 dimes

15 quarters

Step-by-step explanation:

Let's use the following variables to represent the number of each type of coin:

N = number of nickels

D = number of dimes

Q = number of quarters

We know that:

- N + D + Q = 100 (because there are a total of 100 coins)

- 0.05N + 0.10D + 0.25Q = 10.25 (because the total value of the coins is $10.25)

- D = 3Q (because there are three times as many dimes as quarters)

Now we can substitute the third equation into the first two equations to get:

N + 4Q = 100 (equation 1, obtained by substituting D = 3Q)

5N + 10D + 25Q = 1025 (equation 2, obtained by substituting D = 3Q and simplifying)

We can simplify equation 1 by multiplying both sides by 5:

5N + 20Q = 500

Now we can subtract this equation from equation 2 to eliminate N:

10D + 5Q = 525

Next, we can substitute D = 3Q into this equation to get:

10(3Q) + 5Q = 525

Simplifying:

35Q = 525Q = 15

So there are 15 quarters.

We can use D = 3Q to find that there are 45 dimes.

Finally, we can use N + 4Q = 100 to find that there are 40 nickels.

Therefore, there are 40 nickels, 45 dimes, and 15 quarters.

The percent of the possible subcommittees that Michael is a member of is David is 8/20 or 40%. the correct option is (B) 40%.

Now, we are required to determine the percentage of possible subcommittees that Michael and David are both members of which will 40%.

The number of ways to pick 3 members out of 6 is 6C3 = 20.The number of ways to select 3 members including both Michael and David is 4C1 × 2C1 = 8

Total possible subcommittees=20

The number of ways in which Michael and David can be members in the same subcommittee is 8.

Thus, the percent of the possible subcommittees that Michael is a member of is David is 8/20 or 40%.

Therefore, the correct option is (B) 40%.

To know more about percent: https://brainly.com/question/24877689

#SPJ11

Answer:

1 3/4

Step-by-step explanation:

Left Improper Conversion =

2 × 10

1 × 10

+

1/10

Left Improper Fraction =

21/10

Right Improper Conversion =

1 × 5

1 × 5

+

1/5

Right Improper Fraction =

6/5

Divide =

21/10

÷

6/5

Multiply =

21

10

X

5/6

Answer =

105/60

Greatest Common Divisor (GCD) =15

Divide by GCD =

105 ÷ 15

60 ÷ 15

Answer (Simplified) =

7/4

Answer (Mixed) =1 3/4

I hope this helps you

Answer:

DF=FE

Step-by-step explanation:

first to make it easier we can find the angles to each side

the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180

(3x+5)+(4x-15)+(2x+10)=180

9x+0=180

/9.     /9

x=20

now we can find each angle

3(20)+5

60+5

D=65 degrees

4(20)-15

80-15

E= 65 degrees

2(20)+10

40+10

F=50 degrees

Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT

Since there are 2 of the same angles this is an isosceles triangle

the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal

hopes this helps

Answer: When c is 2, the answer is 8. 8 is less than 9. So as the value of c increases, the value of the expression decreases in this case.

Step-by-step explanation:

Therefore, a corresponds to tan θ = 3/2, and b corresponds to cos θ = 2(√13)/13.

Trigonometric ratios are mathematical functions used to relate the angles and sides of a right-angled triangle. There are three primary trigonometric ratios: sine (sin), cosine (cos), and tangent (tan). Trigonometric ratios are commonly used in various fields, including physics, engineering, and mathematics, to solve problems related to angles and triangles.

Here,

We can use the definitions of the trigonometric ratios to find which ratio belongs to each value:

sin θ = (perpendicular/hypotenuse)

= 9/(3√13)

= 3/(√13)

cos θ = (base/hypotenuse)

= 6/(3√13)

= 2(√13)/13

tan θ = (perpendicular/base)

= 9/6

= 3/2

To know more about trigonometric ratio,

https://brainly.com/question/25122825

#SPJ1

Answer:

1579.5

Step-by-step explanation:

i think ...

81 x 39 =3159 / 2 (because there are 2 sides )=1579.5

Answer:

$19

Step-by-step explanation:

calculate 94-18/4 = 19

Direct products of sets are another way of combining sets in mathematics. A direct product of two sets, say A and B, is a set whose elements are ordered pairs, where the first element comes from A, and the second element comes from B.

Here are the answers to the questions.

Let А be any set.

What are the direct products ϕ * А and А * 0?

If we have an empty set, denoted by ϕ, and any set А, then their direct product is also an empty set.

ϕ * A = {}A * ϕ = {}

If х is anything, what are the direct products А * {х} and {х} * А?

If х is anything, then the direct product of the set А and the singleton set containing х is:

A * {х} = {(a, х): a ∈ A}

This is the set of all ordered pairs where the first element comes from A, and the second element is х.

Similarly, the direct product of the set containing х and the set A is:

{х} * A = {(х, a): a ∈ A}

This is the set of all ordered pairs where the first element is х, and the second element comes from A.Justification: The direct product of two sets is a way of combining them where each element of the first set is paired with each element of the second set, producing a new set of ordered pairs. When one of the sets is empty, the direct product is also empty. When one set is a singleton set, the direct product pairs each element of that set with every element of the other set.

To know more about  singleton set visit:

brainly.com/question/24423229

#SPJ11

Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.

So, ∠P = ∠E and ∠Q = ∠F.

Hence, we can write: DP/DE = DQ/DF= PQ/EF.

The above expression is written as

DP/DE = DQ/DF=BC/EF.

It means that PQ = BC.

Hence, the triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ.

Thus, by using the AAA criterion for similarity of the triangle, we can say that

∠A = ∠D, ∠B = ∠E and ∠C = ∠F.

To know more about triangle check the below link:

https://brainly.com/question/1058720

#SPJ4

In working with two variables related by a regression equation, the marginal change in a variable is the amount that it changes when the other variable changes by exactly one unit.

Learn more about regression equation at: brainly.com/question/29582333

#SPJ4

Answer:Step by Step Solution

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    h*(t)-(16*t^2+192*t)=0

STEP

1

:

Equation at the end of step 1

 ht -  (24t2 +  192t)  = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  ht - 16t2 - 192t  =   t • (h - 16t - 192)

Equation at the end of step

3

:

 t • (h - 16t - 192)  = 0

STEP

4

:

Theory - Roots of a product

4.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

4.2      Solve  :    t = 0

 Solution is  t = 0

Equation of a Straight Line

4.3     Solve   h-16t-192  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  h-16t-192  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000

 t-intercept = 192/-16 = 12/-1  = -12.00000

Calculate the X-Intercept :

When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000

 h-intercept = 192/1  = 192.00000

Calculate the Slope :

Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.125/2.000 =  0.062

Geometric figure: Straight Line

 Slope = 0.125/2.000 = 0.062

 h-intercept = 192/1 = 192.00000

 t-intercept = 192/-16 = 12/-1 = -12.00000

t = 0

Step-by-step explanation:

The value of x is approximately 0.5263. This means that when z is 4.0 and y is 7.6, x can be calculated as 0.5263 to satisfy the equation.

To find the value of x, we can substitute the given values of z and y into the formula and solve for x.

The formula given is:

z = yx

Given that z = 4.0 and y = 7.6, we can rewrite the formula as:

4.0 = 7.6x

To solve for x, we'll divide both sides of the equation by 7.6:

4.0 / 7.6 = x

Simplifying the division gives us:

0.5263 = x

Therefore, the value of x is approximately 0.5263.

Let's double-check our result by substituting this value back into the formula:

z = yx

4.0 = 7.6 * 0.5263

Calculating the right side of the equation:

4.0 ≈ 4.0

The equation holds true, confirming that x ≈ 0.5263 is the correct value.

In summary, based on the given formula z = yx, with z = 4.0 and y = 7.6, the value of x is approximately 0.5263. This means that when z is 4.0 and y is 7.6, x can be calculated as 0.5263 to satisfy the equation.

Learn more about approximately here

https://brainly.com/question/28521601

#SPJ11

Answer:

yes

Step-by-step explanation:

The commutative property of multiplication states that you can switch the order of the numbers you are multiplying.

So, (-2x^3 + x - 5)(x^3 - 3x -4) = (x^3 - 3x -4)(-2x^3 + x - 5)

the answer does not change just because the order of the numbers switches.

Hi there!

Yes,

To find the answer you must simplifly the two equation terms which means that if you turn it around you’ll still find the same answer which also means that the product -2x³+x-5 and x³-3x-4 is equal to the product x³-3x-4 and -2x³+x-5..

This is also the commutative property of multiplication.

Answer:

\(\boxed{\tt y=48}\)

Step-by-step explanation:

\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)

Cross multiply:-

\(\tt 3 \times y=(9)\times (16)\)

\(\tt 3y=144\)

Divide both sides by 3:-

\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)

Simplify:-

\(\tt y=48\)

_________________

Hope this helps!

Answer:y=48 I hope this is helpful good luck have a good day

Step-by-step explanation:

3/16 = 9/y

Determine the defined range

3/16=9/y y=0 cross out the equal sign y=0

Simplify the equation using cross-multiplication

3y=144

Divide both sides of the equation by 3

y=48

Check if the solution is in the defined range

Answer:

1/5

Step-by-step explanation:

y1-y2/x1-y2 = (3-1)/5-(-5)

The isospin ⊗ spin wavefunctions for the four different spin states of a Δ0 particle, in terms of the wavefunctions of the quarks it is composed of, are:

|3/2, 3/2⟩ = |u↑d↑⟩

|3/2, 1/2⟩ = (√3/2)|u↓d↑⟩ + (√1/2)|u↑d↓⟩

|3/2, -1/2⟩ = (√1/2)|u↓d↑⟩ - (√3/2)|u↑d↓⟩

|3/2, -3/2⟩ = |u↓d↓⟩

The Δ baryons are composed of three quarks: two down (d) quarks and one up (u) quark. The isospin of a particle represents its behavior under rotations in the isospin space, which is related to the behavior of the particle under the strong force. The spin of a particle represents its intrinsic angular momentum.

For the Δ0 particle, which has isospin 3/2, there are four different spin states. Each spin state corresponds to a different combination of up and down quark spin projections along the z axis. The isospin ⊗ spin wavefunctions represent the composite wavefunctions of the quarks that make up the Δ0 particle for each spin state.

In the first spin state, |3/2, 3/2⟩, both the up and down quarks have their spins aligned in the upward direction. In the second spin state, |3/2, 1/2⟩, the up quark has its spin aligned upward while the down quark has its spin aligned downward. The third spin state, |3/2, -1/2⟩, has the up quark with its spin aligned downward and the down quark with its spin aligned upward. Finally, in the fourth spin state, |3/2, -3/2⟩, both the up and down quarks have their spins aligned in the downward direction.

These wavefunctions provide a mathematical description of the different spin states of the Δ0 particle, taking into account the wavefunctions of the constituent quarks. They help us understand the quantum mechanical properties and behavior of the Δ0 baryon in terms of its quark composition.

Learn more about Isospin

brainly.com/question/32506052

#SPJ11

The missing length are 24, 18 and 10.

We have,

1. There 36 labels having three division equally.

So. the length of missing section is

= 12 + 12

= 24

2. There 36 labels having 4 division equally.

So. the length of missing section is

= 9 + 9

= 18

3 There 16 labels having 8 division equally.

So. the length of missing section is

= 2 + 2 + 2 + 2 +2

= 10

Learn more about division here:

https://brainly.com/question/21416852

#SPJ1

In the triangle ABC, i) ABC = 52.12° ii) BCA = 31.08° and iii) AB = 8.11cm.

Based on the provided information, ∠ BAC = 96.8°; AC = 12.4cm, and BC = 15.6cm

i) According to the law of sine,

Sin ∠A/a = Sin ∠B/b = Sin ∠C/c where a is the length opposite to ∠A, and so forth.

Hence, based on the information, ∠ABC = ∠B

Sin ∠B/AC = Sin ∠A/BC

Sin ∠B/12.4 = Sin 96.8/15.5

Sin ∠B = (Sin 96.8/15.5)*12.4

∠B = Sin^-1((Sin 96.8/15.5)*12.4)

∠B = 52.12°

ii) As the sum of interior angles of a triangle is 180°. ∠As BCA = ∠C

∠A + ∠B + ∠C = 180

96.8 + 52.12 + ∠C = 180

∠C = 31.08

iii) According to the law of cosine,

c^2 = a^2 + b^2 – 2ab cos C where C is the angle opposite to c.

BC^2 = AB^2 + AC^2 – 2(AB)(AC)cos98.6

15.6^2 = AB^2 + 12.4^2 – 2(AB)(12.4)cos98.6

Solving for AB,

AB = 8.11cm

Learn more about Law of sine:

https://brainly.com/question/27174058

#SPJ4

Answer:

C

Step-by-step explanation:

Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.

I hope this helps!

Answer:

60⁰..................