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sp2606 [1]
3 years ago
15

What is the slope (grade) of a road that rises 6 feet for every horizontal change of 100 feet ?

Mathematics
1 answer:
Dmitry [639]3 years ago
5 0
Think of this as Rise/ Run.

Your rise would be 6 feet, your run would be 100.

6/100

Simplify

3/50

That is your answer.

I hope this helped you.


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What is the common ratio between successive terms in the sequence?<br> 27, 9, 9, 1,<br> 3,<br> of
grin007 [14]

Answer:

What is the common ratio between successive terms in the sequence?

27, 9, 9, 1,

3,

of

8 0
2 years ago
The National Safety Council publishes information about automobile accidents in Accident Facts. According to that document, the
vladimir1956 [14]

Answer:

P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that p = 0.4

Eight traffic fatalities

This means that n = 8

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}

3 0
3 years ago
On a coordinate plane, 2 triangles are shown. triangle 1 has points at a (negative 3, 4), b (negative 2, 1), c (negative 4, 1).
Vikki [24]

The rule which represents the translation from the pre-image (Δabc), to the image (Δa'b'c') is (x, y) → (y, x).

<h3>What is a triangle?</h3>

A triangle simply refers to a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

Based on this triangle, we can deduce the following points:

  • The coordinates of a are given by (-3, 4).
  • The coordinates of a' are given by (4, -2).

By critically observing the triangle, we can also deduce that points were swapped as (x, y) → (y, x) and this is a reflection across line y = x.

Read more on triangles here: brainly.com/question/14527861

#SPJ4

6 0
1 year ago
In what follows use any of the following tests: Regression, multiple regression, one-sided t-test, or two-sided t-test. All conc
Yakvenalex [24]

Answer:

  1. Two sided  t-test ( d )
  2.  0.245782  ( c )
  3. Since P-value is too large we cannot conclude that the students’ weight are different for these two schools. ( c )
  4. The test is inconclusive; thus we cannot claim that the average weights are different. ( b )

Step-by-step explanation:

1)  Test performed is a Two sided test and this because we are trying to determine the mean difference between two groups irrespective of their direction

<u>2) Determine the P-value ( we will use a data-data analysis approach on excel data sheet while assuming Unequal variances )</u>

                               yes             No

Mean                   94.47059   89.76471

Variance              173.2647     95.19118

Observations            17            17

df                               30

t Stat                       1.184211  

P(T<=t) one-tail 0.122814  

t Critical one-tail 1.697261

P(T<=t) two-tail        0.245782

Hence The p-value =  0.245782

3) Since P-value is too large we cannot conclude that the students’ weight are different for these two schools.

4)   The test is inconclusive; thus we cannot claim that the average weights are different.

8 0
2 years ago
Decide if Y=3x-9 and Y=4x-9 have many solutions, one solution, or no solutions.
Nuetrik [128]

Answer:

(0,-9)

Step-by-step explanation:

Well first we need to solve the rowing eqation by combining like terms and separating x.

3x - 9 = 4x - 9

So let’s do -3x

-9 = x -9

+9

x = 0.

So if x is 0 we can plug that in one of the equations.

y = 4(0) - 9

y = -9

So the solution where the 2 lines meet is at (0,-9)

For more proof look at the image below.

7 0
3 years ago
Read 2 more answers
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