Answer:
81
Step-by-step explanation:
If a = 4, the exponent will be
.
represents 3 being multiplied by itself 4 times.
= 3·3·3·3
=9·3·3
=27·3
=81
Your product is 81.
Answer:
y = -4/5 x - 6
Step-by-step explanation:
First turn both standard form equations to slope-intercept form.
4x + 5y = 10 -3x - 4y = 24
-4x -4x +3x +3x
<u>5y</u> = <u>-4x + </u><u>10</u> <u>-4y</u> = <u>3x + 24</u>
5 5 -4 -4
y = -4/5 x + 2. y = -3/4 x - 6
Now that you have each in slope-intercept form, we can begin the magic.
So we know that this line's y-intercept will be -6.
Not to mention since it's parallel, that means it will share the same slope as y = -4/5 x + 2, which the slope is -4/5. All together it will be
y = -4/5 x - 6. Now we can graph the line's to see if we we're right. (Look at graphs, attached above⤴⤴⤴) As you can see they are parallel.
Hope this helped :)
Answer:
The p value for this case would be given by:
For this case the p value is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.49 or 49%
Step-by-step explanation:
Information given
n=338 represent the random sample taken
X=148 represent the homes in Oregon were heated by natural gas
estimated proportion of homes in Oregon were heated by natural gas
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to check if the true proportion of interest is 0.49, then the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statitic is given by:
(1)
Replacing we got:
The p value for this case would be given by:
For this case the p value is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.49 or 49%
Answer:
58
Step-by-step explanation:
its simple
Hope this help you
Red
Answer:
Step-by-step explanation:
To solve this system of equations, let's first find the value <em>y</em>. We can replace the x in the second equation with 11 + y, since we are told in the <em>first</em> equation that x is equal to 11 + y. So, let's replace x:
2(11 + y) + y = 19
22 + 2y + y = 19
22 + 3y = 19
3y = -3
y = -1
And look at that - we've found our y-value! Now, we can replace the y in the <em>first</em> equation with -1 to find the value of x.
x = 11 + (-1)
x = 10
So, the solution to this system of equations is (10, -1). Hopefully that's helpful!