Answer:
4/15
Step-by-step explanation:
Answer: x= -39
Step-by-step explanation: Let's solve your equation step-by-step.
−
189
=
4
x
−
3
(
−
4
+
15
)
Step 1: Simplify both sides of the equation.
−
189
=
4
x
−
3
(
−
4
+
15
)
−
189
=
4
x
+
−
33
−
189
=
4
x
−
33
Step 2: Flip the equation.
4
x
−
33
=
−
189
Step 3: Add 33 to both sides.
4
x
−
33
+
33
=
−
189
+
33
4
x
=
−
156
Step 4: Divide both sides by 4.
4
x
4
=
−
156
4
x
=
−
39
B.-3
C.0
D.12
9514 1404 393
Answer:
D. 12
Step-by-step explanation:
Set x=0 and solve for y.
0 -1/2y = -6
y = (-2)(-6) = 12 . . . . . . multiply by -2 to clear the fraction
The y-intercept is 12.
Answer:
nei prossimi giorni, che si è svolto il convegno
(B) 1 2 3 4 5 6
Find the chance that
(a) one of the number is 2 and the other is 5
(b) sum of the numbers is 7
(c) one number is bigger than twice the other
Answer:
a.1/15
b.1/6
c.1/3
Step-by-step explanation:
number of outcomes from box 1=5
number of outcomes from box 2=6
therefore total number of outcomes=6×5
=30
a. number of times receiving a ticket 2 and the other 5 =2
therefore probability= 2/30
=1/15
b.number of combinations for 7= 5 (1+6, 2+5,5+2,4+3,3+4.)
therefore probability= 5/30
=1/6
c.number of times one number was bigger than twice the other=10 (1+3,3+1,1+4,4+1,1+5,5+1,1+6,2+5,5+2,2+6)
therefore probability= 10/30
=1/3
Old sales revenue (mil. $) 5.2 6.5 7.2 5.7 7.6
New sales revenue (mil. $) 6.4 7.8 6.8 6.5 8.2
Let μ₁ and μ₂ be the means of old and new sales revenues, both in millions of dollars per month.
(a) At α = 0.05, test H0: μ2 ≤ μ1 versus H1: μ2 > μ1. Sketch the test. Interpret your result.
(b)Sketch and find the p‐value of the test. Would you reject H0 if α = 0.01?
Answer:
a)
So the p values is lower than the significance level given 0.05, so then we can conclude that we reject the null hypothesis.
b) The p value is illustrated on the figure attached.
If we select we see that so then we have enough evidence to FAIL to reject the null hypothesis.
Step-by-step explanation:
Part a
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation
1=test value old , 2 = test value new
1: 5.2 6.5 7.2 5.7 7.6
2: 6.4 7.8 6.8 6.5 8.2
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The first step is calculate the difference and we obtain this:
d: 1.2, 1.3, -0.4, 0.8, 0.6
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
The 4 step is calculate the statistic given by :
The next step is calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a right tailed test the p value is given by:
So the p values is lower than the significance level given 0.05, so then we can conclude that we reject the null hypothesis.
Part b
The p value is illustrated on the figure attached.
If we select we see that so then we have enough evidence to FAIL to reject the null hypothesis.
Answer:
b
Step-by-step explanation:
(x+12)^2=1
or
(x+12)= +or - 1
when
x+12=1
x=1-12 =-11
when
x+12=-1
x=-1-12 =-13
then
x=-11 and x= -13
Answer:
b
Step-by-step explanation:
Plato
x^3-5/3
10x -2/ x-3
Answer:
2x^2+7
Step-by-step explanation:
Let x=5
2x^2+7
2 ( 5)^2 +7 = 2*25 +7 = 50+7 = 57
(x^3-5)/3
(5^3 -5)/3 = (125-5)/3 = 120/3 = 40
(10x -2)/ (x-3)
(10*5-2)/(5-3) = (50-2)/(2) = 48/2 = 24