Answer: OPTION C.
Step-by-step explanation:
For this exercise it is important to remember the following:
Knowing this and based on the information provided in the exercise, you can make the conversion from kilograms to ounces. This is:
According to the exercise, Miriam's procedure was:
So you can identify that she made a mistake.
Notice that:
1. Miriaim multiplied correctly.
2. Butt the third fraction should be 
and not 
.
Answer:
18
Step-by-step explanation:
24/4 = 6 so....
4*6 is 24 and 3*6 is 18
Answer:
The 13.2 meters from that point on the ocean floor to the wreck.
Step-by-step explanation:
As given
A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the ocean is 12.5°.
If a point on the ocean floor is 60 meters.
Now by using the trigonometric identity.
As shown in the figure given below.
Perpendicular = CB
Base = AC = 60 meters
Put in the identity
CB = 60 × 0.22
CB = 13.2 meters
Therefore the 13.2 meters from that point on the ocean floor to the wreck.
If it takes 8 hours for a bus with an average velocity of 65mph to travel from Amarillo to Austin then,
d = 65 (8) = 520 miles
The distance from Amarillo to Austin (or vice versa) is 520 miles.
If the function to get the distance traveled by the automobile is given by:
d(x) = 80 t
Then, the inverse variation relationship would be
d-1(x) = t = d / 80
Since d = 520
t = 520 / 80
t = 6.5 hours
It takes 6.5 hours for the automobile to complete the trip
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.
