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A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled
on a winding road. The time spent on the winding road was 5 hours. Find the average speed on the
level road if the entire trip was 420 miles.
The bus's speed on the level road was
mph.

Answer:

5√2

Step-by-step explanation:

The distance formula is the the square root of the difference of the x (delta x) squared plus the difference of the y (delta y) squared. So, you would do

0 - (-5) = 5 & -2 - (3) = -5

Then

5² + (-5)² = 25 + 25 = 50

Square root 50

5√2

Hope this helps! :)

We could say 18 + 6 = 2(9+3) as one example

Or 18+6 = 3(6+2) as another example

Or 18+6 = 6(3+1) as another example

There are few approaches so it depends on what answer choices you are given.

The correct statement regarding whether the situation results in a binomial distribution is:

C. It is not binomial because there are more than two possible outcomes.

Three things are needed for a situation being represented by the binomial distribution:

For this problem, for each respondent, there are multiple possible ages, a number greater than 2, hence the binomial distribution cannot be used and option c is correct.

The trials are independent, because the age of a respondent is not related to the age of any other respondent, hence option b is wrong.

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Answer:

0.0092

Step-by-step explanation:

Rewrite the denominator out of its scientific notation. The numerator will always be 1 when you are working with whole numbers turning into fractions.

[tex]=9.2\cdot \frac{1}{10^3}\\=\frac{1\cdot \:9.2}{10^3}\\=\frac{9.2}{10^3}\\=\frac{9.2}{1000}\\=0.0092[/tex]

Answer:

lake stockton

Step-by-step explanation:

26% is equal to 26/100

you have to figure out a common denominator for all three numbers. the easiest for me was 600

to get from 1/6 to x/600 you multiply by 6 so you do the same to the top. equaling 100/600

for 26/100 you times top and bottom by 6 equaling 156/600

for 33/200 you multiply by 3 on both equaling 99/600

now you can clearly see that 99/600 is the least amount

Answer:

26 below sea level

Step-by-step explanation:

-17+9=-8

-18-8=26

The variables are:

a) discrete.

b) continuous.

c) continuous.

d)  discrete.

e) continuous.

f)  discrete.

A continuos variable can take any value in a dense set, while a discrete variable can only take some selected values.

a) "Bag of apples"

Here the variable is the number of apples in the bag, we can only have whole numbers of apples, then this variable is discrete.

b) "Distance from here to the moon"

This is a distance, so the value is continuous.

c) "Area of a circle"

Exactly like in the case above, the area is continuous.

d) "Number of telephone calls made each day"

Like in the first example, here the variable can only take whole numbers thus, it is discrete.

e) "The height of a ball as it is thrown into the air."

Similar than case b, a height can take any value on a given range, thus, this is continuous.

f) "The balance in an account over a week."

Here the balance can only be a number followed by 2 digits after the decimal point, so from:

$23.50

We can only go up to:

$23.51

Then all the values in between are not allowed, this means that the variable is discrete.

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Based on the annual premium, the cash value of the policy, and the number of years, the traditional net cost of this policy over the first 10 years is 5.76.

First, find the net cost over 10 years:

= Total premium over 10 years - cash value

= (1,608 x 10) - 13,740

= $2,340

The net cost per year is:
= 2,340 / 10

= $234

The traditional net cost of this policy, per thousand per year for the first 10 years is:

= 234 / 50,000 x 1,000

= 4.68

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Answer:

D

Step-by-step explanation:

Remember that domain is the set of all x-values. Therefore, looking at ONLY the first number for each of the listed ordered pairs, your answer D would be the only answer to include all the correct x-values.

Answer:

Yup, u need answer choices

Answer:

4,8,16,20,24,28,32,36,40,44...

Step-by-step explanation:

How many?  This list goes on forever.

Answer:

4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96.

Step-by-step explanation:

If f(x) = x² ₋ 4x ₋ 6 then we get the following answers for f(0),f(3) and f(-2) respectively. And the expression f(1/2) = f(7/2) and f(2₋h) = f(2₊h) is therefore proved.

f(0) = -6

f(3) = -9

f(-2) = 6

Given the function is f(x) = x² ₋ 4x ₋ 6

we need to find for f(0):

f(0) = 0² ₋ 4(0) ₋ 6

f(0) = ₋6

f(3) = 3² ₋ 4(3) ₋ 6

f(3) = 9 ₋ 12 ₋ 6

f(3) = ₋9

f(₋2) = (₋2)² ₋ 4(₋2) ₋ 6

f(₋2) = 4 ₊ 8 ₋ 6

f(₋2) = 6

we need to prove f(1/2)f(7/2)

now, f(1/2) = (1/2)² ₋ 4(1/2) ₋ 6

f(1/2) = 1/4 ₋ 2 ₋ 6

f(1/2) = 1 ₋ 8 ₋ 24 / 4

f(1/2) = ₋31/4

f(7/2) = (7/2)² ₋ 4(7/2) ₋ 6

f(7/2) = 49/4 ₋ 14 ₋ 6

f(7/2) = 49 ₋ 56 ₋ 24 / 4

f(7/2) = ₋31/4

therefore, f(1/2) = f(7/2)

f(2₋h) = (2₋h)² ₋ 4(2₋h) ₋ 6

f(2₋h) = (4 ₊ h² ₋ 4h) ₋ 8 ₊ 4h ₋ 6

f(2₋h) = h² ₊ 4 ₋ 4h ₋ 8 ₊ 4h ₋ 6

f(2₋h) = h² ₋ 10

f(2₊h) = (2₊h)² ₋ 4(2₊h) ₋ 6

f(2₊h) = 4 ₊ h² ₊ 4h ₋ 8 ₋ 4h ₋ 6

f(2₊h) = h² ₋ 10

therefore, f(2₋h) = f(2₊h)

Hence proved.

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Answer:

It is a buzz cut.

Step-by-step explanation:

It is well-known that football players are around that height and own at least two pairs of shoes. Considering his shirt color, I would say he is a Cardinal player. Considering how terrible they did last time they played (I don't watch football), I'd say he would want to cut his hair in shame.

Let the cost of one tacos = t

Let the cost of one burritos = b

So, we have this system

                    t + b = 60      (eq-1)

2.50t + 4.00b = 175.50        (eq-2)

We take equation-1,

We can write,

              t + b = 60

              t= 60-b            (eq-3)

Substitute equation-3 into equation-2,

We can write,

          2.50t + 4.00b = 175.50

          2.50(60-b) + 4.00b = 175.50

 Multiply the values,

         2.5(60)-2.5b+4b = 175.5

         150-2.5b+4b = 175.50

Subtract the values,

           1.5b = 175.5-150

            1.5b = 25.5

             b = 25.5/1.5

Divide the values,

             b = 17

Replace the value 'b' in equation-3,

We can write,

              t= 60-b

              t= 60-17

              t=43

Therefore,

     Mariana sell 43 tacos yesterday.

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Using simple addition and multiplication, we concluded that the difference in height between sea gull and shark is 17m and distance between the heights of the sea gull and the shark is 29m.

Given,

Albatross is flying 87 m above the surface of the ocean

Sea gull is flying 6 m above sea level

shark is swimming 23 m below sea level

a) The difference in height between sea gull and shark is -

23m - 6m

= 17m

b) The distance between the heights of the sea gull and the shark is -

23m + 6m

= 29m

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The values of a and b are 8 and 54 respectively.

As WX and YZ are perpendicular to each other and they intersect at point V, so both ∠WVY and ∠XVY are 90°.

Given that,

∠WVY = (4a + 58)°

∠XVY = (2b - 18)°

Which means:

4a + 58 = 90

4a = 90-58

4a = 32

a = 32/4

a = 8

and 2b - 18 = 90

2b = 90+18

2b = 108

b = 108/2

b = 54°

hence we get the values of a and b as 8° and 54°

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Answer:

please rate as brainliest

Step-by-step explanation:

7/11 divide 4/5

just intertwine the second fraction values since it is divided and you should put multiplication

=7/11 × 5/4

=35/44 or 0.7954545455

Answer:

35/44

Step-by-step explanation:

see picture above it is the answer

Answer:

2.35

Step-by-step explanation:

The percentage of the calls were greater than 30 minutes in duration is 69%.

Let N = 77 Total long-distance calls

X= 24 calls are less than or equal to 30 minutes duration

Y = N - X= 77 - 24= 53 calls are greater than 30 minutes duration

To find the percentage of calls greater than 30 minutes duration. This goes thus:

= Number of calls greater than 30 minutes / Total calls

= 53 / 77

= 0.69

Therefore, 69% of the call were greater than 30 minutes in duration.

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Answer:

3x+2y=8.75

2x+4y=8.5

solving above two we get 

x=9/4

y=1

Then x+3y=2.25 + 3=5.25

Step-by-step explanation:

x = 20

Total degrees of a triangle = 180 degrees.

The three angles are x, 4x & 4x

x + 4x + 4x = 180 degrees

x + 8x = 180 degrees

9x = 180 degrees

(9x)/9 = 180/9

x = 180/9

x = 20

According to the given statement the multiplicative inverse of 4/3 is 3/4.

A multiplicative inverse as well as reciprocal for a number x, indicated by 1/x or x1, is a number that produces the multiplicative identity, 1. b/a is the multiplicative inverse of either a fraction a/b. Divide 1 by the number to find the multiplicative inverse.

Flipping the numerator and denominator yields the multiplicative inverse of a fraction. 1's multiplicative inverse is 1. The multiplicative inverse of 0 is unknown. 1/x or x-1 seems to be the multiplicative inverse of something like a number x.

Given 1*(1/3)

This can be written as 4/3.

The multiplicative inverse of 4/3 is 3/4

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Answer:

g(x) = - x² - 4

Step-by-step explanation:

g(x) is a reflection in the x- axis of f(x) followed by a vertical translation of 4 units down.

f(x) = x² , then

g(x) = - x² ( reflection in the x- axis )

g(x) = - x² - 4 ( a translation of 4 units down )

-6 is the product of this equation,

therefore there are no constant term or leading coefficient.

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The degree of a polynomial is the highest degree of its terms

The leading coefficient of a polynomial is the coefficient of the leading term

Any term that doesn't have a variable in it is called a "constant" term

types of polynomials depends on the degree of the polynomial

x5 =        ax2+bx2+c =0

x4 = quadratic

x3 = cubic

x2 = quadratic

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division

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Answer:

5

Step-by-step explanation:

[tex]\frac{3^8}{3^3}=3^{8-3}=3^{\boxed{5}}[/tex]

Answer:

the second answer option

Step-by-step explanation:

come on, that is really easy, now that the polynomial is already written that way.

when is the product of several factors 0 ?

when at least one of the factors is 0.

so let's go through, when are the factors 0 :

3 : can never be 0. 3 is 3.

x : yes, when x = 0.

(x - 2) : yes, when x = 2

(2x + 7) : ok, that requires a little bit of thinking

2x + 7 = 0

2x = -7

x = -7/2

and that's it.

at, the correct answer is

0, 2, -7/2

Answer:

-8

Step-by-step explanation:

x - 16 = 3x

Solve for x

-2x = 16

x = -8