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docker41 [41]
3 years ago
11

After seeing this video, another dog owner trained his dog, Lightning, to try to break Tillman’s skateboarding record.

Mathematics
1 answer:
larisa86 [58]3 years ago
4 0

Answer:

75/15.5 = 4.83870967742 =4.84 meters per second.

This is a faster time than 5 meters per second.

Step-by-step explanation:

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Help me out with this question..this is a practice question not a graded one
galina1969 [7]

We shall begin by drawing up a table of the data set;

The Probability of selecting someone in the 22 - 29 age bracket is derived as

P[22 - 29] = No of req outcomes/No of possible outcomes

P[22 - 29] = 258/360

P[22 - 29] = 0.7166

The probability of selecting someone who refused to respond is derived as

P[Dont respond] = 42/360

P[Dont respond] = 0.1166

Note however that these are dependent events. That means the outcome of one event directly affects that of the other event. In this experiment, you are required to select one person from the entire sample size. Hence the probability of P[22 - 29] OR P[Dont respond] is derived by adding both probabilities and this results in;

The probability of getting someone who falls within the 22 - 29 age bracket or someone who refuses to repond is described as non mutually exclusive events. Mutually exclusive events are those that cannot possibly occur in one experiment. For example you cannot get a King of Hearts OR an Ace of Hearts in one draw from a standard deck of 52 cards. However when you can get either one or the other in one single experiment, then this is refered to as non mutualy exclusive events. So the probability of drawing from a standard deck of 52 cards, a King OR an Ace is an example of non mutually exclusive events because you can get either one or the other with just a single draw of a card. In this experiment, you need to select just one person and the probability of the person being either within the age of 22 - 29 OR being a non-respondent is a non mutually exclusive event. You can select someone randomly and he'll be within 22 - 29 years of age, and its more than likely that that person did not respond to your survey. Fact is,out of those who were 22 - 29, some responded, and some did not. So they all stand a chance of being selected, regardless of how slim their chances were.

Hence, the results should be

P[22 - 29 or Dont respond] = P[22 - 29] + P[Dont respond] - P[(22 - 29) * (Dont respond)]

P[22 - 29 or Dont respond] = ([0.7166] + [0.1166]) - [0.7166 * 0.1166]

P[22 - 29 or Dont respond] = (0.8332) - 0.08355

P[22 - 29 or dont respond] = 0.74965

The results show that the probability of choosing someone who is within the 22 - 29 age bracket or someone who did not respond is 0.74965 which as a percentage is 74.965% (approximately 75%)

3 0
1 year ago
2c +3 = 3c - 4<br> Help me please
VashaNatasha [74]

Hey there!

<u>Solve </u><u>the </u><u>equation</u><u>:</u>

  • Answer :

c = 7 ✅

  • Explanation

2c + 3 = 3c - 4

<em>></em><em>></em><em> </em><em>Subtract </em><em>3</em><em> </em><em>from </em><em>both </em><em>sides </em><em>:</em>

<em> </em>

2c + 3 - 3 = 3c - 4 - 3

2c = 3c - 7

<em>></em><em>></em><em> </em><em>Substrat </em><em>3</em><em>c</em><em> </em><em>from </em><em>both </em><em>sides </em><em>:</em>

2c - 3c = 3c - 7 - 3c

-c = -7

<em>></em><em>></em><em> </em><em>Divide</em><em> </em><em>each </em><em>side </em><em>by </em><em>-</em><em>1</em><em> </em><em>:</em>

-c / -1 = -7 / -1

c = 7

  • Let's verify:

2c + 3 ⇔ 2(7) + 3 ⇔ 14 + 3 ⇔ 17

3c - 4 ⇔ 3(7) - 4 ⇔ 21 - 4 ⇔ 17

Therefore, your answer is c = 7 .

Mor about equation :

brainly.com/question/27353929

Have a good day :)

6 0
2 years ago
Read 2 more answers
Write an equation of the line that passes through (1,-2) and (-5,4)
denis23 [38]

Answer: x+y+1=0

Step-by-step explanation:

m=y2-y1/x2-x1

 = 4-(-2) /-5-1

 =6/-6

 =-1

equation of line

y-y1=m(x-x1)

y-(-2) =-1(x-1)

y+2=-x+1

x-1+y+2=0

x+y+11=0

7 0
2 years ago
PLEASE HELP 100 POINTS!!!!!!
horrorfan [7]

Answer:

A)  See attached for graph.

B)  (-3, 0)  (0, 0)  (18, 0)

C)   (-3, 0) ∪ [3, 18)

Step-by-step explanation:

Piecewise functions have <u>multiple pieces</u> of curves/lines where each piece corresponds to its definition over an <u>interval</u>.

Given piecewise function:

g(x)=\begin{cases}x^3-9x \quad \quad \quad \quad \quad \textsf{if }x < 3\\-\log_4(x-2)+2 \quad  \textsf{if }x\geq 3\end{cases}

Therefore, the function has two definitions:

  • g(x)=x^3-9x \quad \textsf{when x is less than 3}
  • g(x)=-\log_4(x-2)+2 \quad \textsf{when x is more than or equal to 3}

<h3><u>Part A</u></h3>

When <u>graphing</u> piecewise functions:

  • Use an open circle where the value of x is <u>not included</u> in the interval.
  • Use a closed circle where the value of x is <u>included</u> in the interval.
  • Use an arrow to show that the function <u>continues indefinitely</u>.

<u>First piece of function</u>

Substitute the endpoint of the interval into the corresponding function:

\implies g(3)=(3)^3-9(3)=0 \implies (3,0)

Place an open circle at point (3, 0).

Graph the cubic curve, adding an arrow at the other endpoint to show it continues indefinitely as x → -∞.

<u>Second piece of function</u>

Substitute the endpoint of the interval into the corresponding function:

\implies g(3)=-\log_4(3-2)+2=2 \implies (3,2)

Place an closed circle at point (3, 2).

Graph the curve, adding an arrow at the other endpoint to show it continues indefinitely as x → ∞.

See attached for graph.

<h3><u>Part B</u></h3>

The x-intercepts are where the curve crosses the x-axis, so when y = 0.

Set the <u>first piece</u> of the function to zero and solve for x:

\begin{aligned}g(x) & = 0\\\implies x^3-9x & = 0\\x(x^2-9) & = 0\\\\\implies x^2-9 & = 0 \quad \quad \quad \implies x=0\\x^2 & = 9\\\ x & = \pm 3\end{aligned}

Therefore, as x < 3, the x-intercepts are (-3, 0) and (0, 0) for the first piece.

Set the <u>second piece</u> to zero and solve for x:

\begin{aligned}\implies g(x) & =0\\-\log_4(x-2)+2 & =0\\\log_4(x-2) & =2\end{aligned}

\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b

\begin{aligned}\implies 4^2&=x-2\\x & = 16+2\\x & = 18 \end{aligned}

Therefore, the x-intercept for the second piece is (18, 0).

So the x-intercepts for the piecewise function are (-3, 0), (0, 0) and (18, 0).

<h3><u>Part C</u></h3>

From the graph from part A, and the calculated x-intercepts from part B, the function g(x) is positive between the intervals -3 < x < 0 and 3 ≤ x < 18.

Interval notation:  (-3, 0) ∪ [3, 18)

Learn more about piecewise functions here:

brainly.com/question/11562909

3 0
1 year ago
Find the coordinates of the midpoint of the segment given its endpoints P(-3,-7) and Q(3,-5)
stellarik [79]

Answer:

Midpoint....; (0,-6)

Step-by-step explanation:

Midpoint of the segment

= [(sum of x-coordinates) ÷ 2] , [(sum of y-coordinates) ÷ 2]

Midpoint = [( 3 + (-3))÷ 2 , (-5 + (-7))÷ 2]

Midpoint = ( 0/2 , -12/2 )

Midpoint = (0,-6)

8 0
3 years ago
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