Both gyms charge the same monthly rate and the same membership fee
Answer:
They are perpendicular lines
Step-by-step explanation:
If one line has slope -8 and the other one has slope 1/8, they must be perpendicular to each other because the condition for perpendicular lines is that the slope of one must be the "opposite of the reciprocal of the slope of the original line."
the opposite of -8 is 8 , and the reciprocal of this is 1/8
Answer:
z= 0.278
Step-by-step explanation:
Given data
n1= 60 ; n2 = 100
mean 1= x1`= 10.4; mean 2= x2`= 9.7
standard deviation 1= s1= 2.7 pounds ; standard deviation 2= s2 = 1.9 lb
We formulate our null and alternate hypothesis as
H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)
We set level of significance α= 0.05
the test statistic to be used under H0 is
z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂
the critical region is z > ± 1.96
Computations
z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100
z= 10.4- 9.7/ √ 7.29/60 + 3.61/100
z= 0.7/√ 0.1215+ 0.0361
z=0.7 /√0.1576
z= 0.7 (0.396988)
z= 0.2778= 0.278
Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0 at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.
Answer:
a) 1 tsp.
b) 1.5 tsp.
c) 2 tsp.
Step-by-step explanation:
Complete Correct Question
Animals: The label on a bottle of pet vitamins lists dosage guidelines. What dosage would you give to each of these animals? (a) a 18 kg adult dog (b) a 6 kg cat (c) 18 kg pregnant dog
- The dosage listed for adult dog is 1/2 tsp per 9 kg dog weight.
- The dosage listed for adult cat is 1/4 tsp per 1 kg weight.
- The dosage listed for pregnant dog is 1/2 tsp per 4.5 kg dog weight.
Solution
a) 18 kg adult dog
The dosage listed for adult dog is 1/2 tsp per 9 kg dog weight.
9 kg dog weight = (1/2) tsp
18 kg adult dog = (18/9) × (1/2) = 1 teaspoon.
b) 6 kg cat
The dosage listed for adult cat is 1/4 tsp per 1 kg weight.
1 kg cat = (1/4) tsp
6 kg cat = (6/1) × (1/4) = (6/4) = 1.5 teaspoons.
c) 18 kg pregnant dog
The dosage listed for pregnant dog is 1/2 tsp per 4.5 kg dog weight.
4.5 kg dog weight = (1/2) tsp
18 kg pregnant dog = (18/4.5) × (1/2) = 2 teaspoons.
Hope this Helps!!!
So,
1. Type I profits $20
2. Type II profits $30
3. Type III profits $40
4. I/day < 100
5. Type I needs 5 hrs.
6. Type II needs 10 hrs.
7. Type III needs 15 hrs.
8. Total hrs. available: 2000 hrs.
Every +5 hrs. spent yields an extra $10.
If we use 500 hrs. to make 100 Type I stereos, we will profit $2000.
If we use 500 hrs. to make 50 Type II stereos, we will profit $1500.
If we use 495 hrs. to make 33 Type III stereos, we will profit $1320.
We should use the first 500 hrs. to make Type I stereos.
We should use the last 1500 hrs. to make Type II stereos.
$2000 + $4500 = x
$6500 = x
There must be 100 Type I stereos made along with 150 Type II stereos made.
