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bixtya [17]
3 years ago
9

Josephine wrote the number 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that

the number is greater than 78?
Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0
22% since 100-78 is 22 so that is the percentage of numbers between 78 and 100
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Easy Sample Ap graphing 50pts! (Easy points!!) (ASAP) (URGENT) (Please check my other questions)​ Please
snow_lady [41]

Answer:

a)  See attachment 1.

b)  t² and D

c)  See attachment 2.

d)  g = 9.8 m/s² (1 d.p.)

Step-by-step explanation:

<h3><u>Part (a)</u></h3>

See attachment 1.  The line of best fit is shown in red.

<h3><u>Part (b)</u></h3>

The quantities the student should graph in order to produce a <u>linear relationship</u> between the two quantities are t² and D.

<h3><u>Part (c)</u></h3>

Make a table of values of t² and D:

\begin{array}{|l|l|l|l|l|l|}\cline{1-6} \rm t^2& 0.0196& 0.1024& 0.2116 & 0.3481& 0.3969\\\cline{1-6} \rm D & 0.10 & 0.50& 1.00 & 1.70 & 2.00\\\cline{1-6}\end{array}

<u>Plot</u> a graph of D against t² and draw a line of best fit (see attachment 2).

<h3><u>Part (d)</u></h3>

From inspection of the graph, the line of best fit passes through the origin (0, 0) and (0.1024, 5.0).  Therefore, use these two points to find the slope of the line:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0.5-0}{0.1024-0}=4.8828125...\:\rm m/s^2

Therefore:

\rm \implies \dfrac{1}{2}g=4.8828125...\:\rm m/s^2

\rm \implies g=2 \cdot 4.8828125...\:\rm m/s^2

\rm \implies g=9.8\:\rm m/s^2\:(1\:d.p.)

5 0
1 year ago
given triangle UVW is congruent to triangle TSR find the values of x (12x-7), y (5y-33), and z (3z+14)
timama [110]

Answer:

Step-by-step explanation:

Find the image attached. For two triangles to be congruent, then the sides of UVW is equal to that of TSR

From the diagram given

TR = UW

Given

TR = 50

UW = 3z+14

Equate and find z;

3z+14 = 50

3z = 50-14

3z = 36

z = 36/3

z = 12

VW = RS

Given

VW = 27

RS = 5y - 33

Equate

5y-33 = 27

5y = 27+33

5y = 60

y = 60/5

y = 12

Also TS = UV

TS = 53

UV = 12x+7

Equate:

12x-7 = 53

12x = 53+7

12x = 60

x = 60/12

x = 5

Hence x = 5, y = 12 and z = 12

3 0
3 years ago
Write the equation of a line that is perpendicular to the given line and pass through the given point
aliya0001 [1]

Answer:

-6

Step-by-step explanation:


8 0
3 years ago
The inequality 16 &lt; 3 x - 2 could represent which of the following problems? Three times a number minus two is at most 16. Th
Anni [7]
Answer: C) three times a number minus two is more than 16

Explanation: < represents greater than
8 0
3 years ago
Integers are _____ rational numbers.
ANTONII [103]
Integers are always rational




6 0
3 years ago
Read 2 more answers
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