Answer:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is ≈ 1.8
The critical z-score is 1.28
we fail to reject the null hypothesis H0: μ ≤ 34
Step-by-step explanation:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is calculated using the formula:
z=
where
- X is the average class size found in the sample (35.6)
- M is the mean according to the null hypothesis (34)
- s is the standard deviation for class size (9)
then z= 
≈ 0.18
The critical z-score is 1.28 for α=0.10 (one tailed)
Because the test statistic is less than the critical value, do not reject the null hypothesis.
Answer:
8000-8500
Step-by-step explanation:
I can't manage to figure out the exact number without multiple choice answers. That is the closest I could get to finding out the answer. Good Luck!
Answer: "
x = 1 + √5 " or "
x = 1 − √5" .
______________________________________________________Given:
______________________________________________________ " x² − 2x − <span>4 = 0 " ;
______________________________________________Solve for "x" by using the "quadratic formula" :
</span>Note: This equation is already written in "quadratic format" ; that is:
" ax² + bx + c = 0 " ; { "a
0" } ;
in which: "a = 1" {the implied coefficient of "1" ;
since "1", multiplied by any value, equals that same value};
"b = -2 " ;
"c = -4 " ;
_______________________________________________________The quadratic equation formula:
x = { - b ± √(b² − 4 ac) } / 2a ; {"a
0"} ;
______________________________________________________Substitute our known values:
______________________________________________________ → x = { - (-2) ± √[(-2)² − 4(1)(-4)] } / 2(1) ;
→ x = { 2 ± √(4 − 4(-4) } / 2 ;
→ x = { 2 ± √(4 − (-16) } / 2 ;
→ x = { 2 ± √(4 + 16) } / 2 ;
→ x = { 2 ± √(20) } / 2 ;
→ x = { 2 ± √4 √5} / 2 ;
→ x = { 2 ± 2√5} / 2 ;
→ x = 1 ± √
5 ;
_______________________________________________________→ "
x = 1 + √
5"
or "
x = 1 −
√
5"
.
_______________________________________________________
Answer:the 24 for 1.19 is the better deal
Step-by-step explanation:
1. 1.19 ÷24 =4.95
2.2.89÷36=8.5
3. It cost less for 1 can than the 8.5 dollar can.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
Angle 4 is an exterior angle of the triangle.
Angles 1 and 2 are the remote interior angles of angle 4.
m<4 = m<1 + m<2
m<4 = 30 deg + 110 deg
m<4 = 140 deg
