Answer: $24
Step-by-step explanation: 3 is half of 6 and if you gain $48 for washing 6 cars then half it half of 6 is 3 and half of $48 is $24
Answer:
- x < 2.5
- x > 2.5
Step-by-step explanation:
One way to do this is to try a number for x and see if it makes the inequality true. A suitable number here is x=0. This value of x is less than 2.5.
<h3>1.</h3>
For x=0, you have ...
5 > -5 . . . . . true; the solution space is x < 2.5
__
<h3>2.</h3>
For x=0, you have ...
-25 > -5(2.5)
-25 > -12.5 . . . . . false; the solution space is x > 2.5
_____
<em>Alternate solution</em>
<h3>1.</h3>
Subtract 5:
-4x > -10
Divide by -4
x < 2.5
__
<h3>2.</h3>
Divide by -5:
5 < x +2.5
Subtract 2.5
2.5 < x
x > 2.5
Answer:
C. -3/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
We know that line <em>m </em>is perpendicular to line <em>l. </em>
Line <em>l </em>has a slope of 2/3. To find the slope of line <em>m, </em>find the negative reciprocal of 2/3.
Negative: switch the sign
2/3 --> -2/3
Reciprocal: switch the numerator (top number) and denominator (bottom number)
-2/3 --> -3/2
Line <em>m</em> has a slope of -3/2 and C is correct.
To find the angle of vertex E,we need to first find the sum of interior polygons to determine x:

In this case,the equation would be:
(7-2)×180°
=5×180°
=900°
We can then find the value of x:
(4)6x+(2)2x+8x=900°
24x+4x+8x=900°
36x=900°
x=25°
The interior angle of vertex E:
6x=6(25)=150°
Therefore,the interior angle of vertex E is 150°.
Hope it helps!
Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as

here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.