K/3 + 4 -2k = -9k
First you add 9k to both sides
<span>k/3 + 4 -2k = -9k
</span> +9k +9k
<span>k/3 + 4 + 7k = 0
</span>
Now subtract 4 from both sides
k/3 + 4 + 7<span>k = 0
</span> -4 -4
k/3 + 7<span>k = -4
</span>
Now multiply 3 by both sides
k/3 + 7<span>k = -4
</span>x3 x3 x3
k +21k = -12
Now add k + 21k
22k = -12
Now divide both sides by 22
<span>22k = -12
</span>----- -----
22 22
k = -6/11
2x+2y=-10
-x+y. = 9
2x + 2y = -10
-2x + 2y = 18
4y = 8
y= 2
2 - x = 9
-x = 7
x = -7
Answer:
35 miles per hour
Step-by-step explanation:
Ann travels a total of (100 +40) = 140 miles in (3 +1) = 4 hours. Her average speed is the ratio of these:
speed = distance/time
speed = (140 miles)/(4 hours) = 35 miles/hour
Answer:
y=1/4x + 1.75
Step-by-step explanation:
1-2/2--2 = 1/4
2=1/4+b
b=1.75
First, we establish
our hypothesis:
<span>Null hypothesis H0: μ = $1.00 </span>
Alternative hypothesis
Ha: μ ≠ $1.00
<span>Let’s say X = the sample average cost of a daily newspaper
= 0.96</span>
u = population mean
cost = 1.00
S = sample standard
deviation = 0.18
Calculating for z
value:
z = (X – u) / S
z = (0.96 – 1) / 0.18
z = – 0.222
From the standard
distribution table at this z value, p-value = 0.4129
Since alpha = 0.01,
the decision therefore is:
<span>Do not reject the null
hypothesis because the p-value is greater than 0.01. There is enough evidence
to support the claim that the mean cost of newspapers is $1. </span>
