Answer:
t = 16
Step-by-step explanation:
if you do 448 divided by 28 you get 16.
if you do 28 x 16 you get 448
Step-by-step explanation:
To find the equation you must first find the gradient and also look for the points on the graph.
I see point ( 0, 2) and point (4, 1)
Hence first find the gradient before equation
the gradient = y2-y1/x2-x1
y2 = 1
y1 = 2
x2 = 4
X1 =0
if you put in the values it will look like
1-2/4-0
-1/4
the gradient = -1/4
So for the equation the formula is
remember m is the gradient
y - y1 = m ( x - x1 )
so put in the value from only one point so you can choose either (0,2 ) or (4,1 )
I will go with (4, 1)
y - y1 = m ( x - x1 )
y - 1 = m ( x - 4 )
y -1 = -1/4 ( x - 4)
4 ( y-1) = -1(x-4)
4y- 4 = -1x +4
4y - 4 -4 = -1x
4y -8= -1x
4y + 1x -8 = 0
this is the equation.
thanks and good luck.
Short Answer: Current speed = 3 miles per hour.
Givens
Downstream
d = 4.48 miles
t = 0.32 hours.
c = ??
r_boat = ??
Upstream
d = 4.48 miles
t = 0.56 miles
c = ??
r_boat =??
Equations.
Since the distances are the same, you can equate the distances and come back to them later.
d = r*t
(r - c) * 0.56 = (r + c) * 0.32 This will give you r in terms of c. Notice the minus sign on the left. It's there because the current is going against you, slowing you down.
Remove brackets
0.56r - 0.56c = 0.32r + 0.32c Add 0.56c to both sides.
0.56r = 0.32r + 0.32c + 0.56c
0.56r = 0.32r + 0.88c Subtract 0.32r from both sides.
0.56r - 0.32r = 0.88c
0.24r = 88c Divide by 0.24
r = 0.88/0.24 c
r = 3 2/3 c
Now we have enough information to solve for c
4.48/(r + c) = 0.32
4.48 = 0.32 * (r + c) Substitute r = 3 2/3c into this equation.
4.48 = 0.32 * (3 2/3c + c) Add c and 3 2/3c together.
4.48 = 0.32 * (4 2/3c) Change 4 2/3 to 14/3
4.48 = 0.32 * 14/3 c
4.48 = (4.48 / 3 ) * c
4.48 = 1.493333333 c Divide 4.48 by 1.493333333
c = 4.48 / 1.4933333
c = 3 mph <<<<<<<<<<<<<<Answer
<em><u>Solution:</u></em>
<em><u>Given that,</u></em>
We have to write in simplest form
<em><u>Use the following law of exponent</u></em>
Using this, simplify the given expression
Thus the given expression is simplified
Answer:
Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since 2013 and is significantly different from 45%
Step-by-step explanation:
Sample size, n = 3603
x = 1697
Phat = x/n = 1697/3603 = 0.4709 =47.09%
H0 : p = 0.45
H1 : p > 0.45
The test statistic :
(phat - p) / sqrt[(p(1 - p)) /n]
(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]
0.0209 / 0.00828810932
Test statistic = 2.5217
The Pvalue :
Using the Pvalue from Test statistic calculator ; α = 0.05 ;
Pvalue at 95% confidence = 0.005839
Pvalue < α ;
Hence, we reject the Null
Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since 2013.