Answer: 96.2%
Step-by-step explanation:
Assume that the heights of American men are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = heights of American men.
µ = mean height
σ = standard deviation
From the information given,
µ = 69.0 inches
σ = 2.8 inches
the probability of men that have heights between 64 and 78 inches is expressed as
P(64 ≤ x ≤ 78)
For x = 64,
z = (64 - 69)/2.8 = - 1.79
Looking at the normal distribution table, the probability corresponding to the z score is 0.037
For x = 78,
z = (78 - 69)/2.8 = 3.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.999
Therefore,
P(64 ≤ x ≤ 78) = 0.999 - 0.037 = 0.962
Therefore, the percent of men meeting these height requirements is
0.962 × 100 = 96.2%
Answer:
Answer:x=
−3z−1
0
Step-by-step explanation:x=
Step 1: Add -2x to both sides.
2x+3z+4+−2x=2x+3+−2x
3z+4=3
Step 2: Add -3z to both sides.
3z+4+−3z=3+−3z
4=−3z+3
Step 3: Add -4 to both sides.
4+−4=−3z+3+−4
0=−3z−1
Step 4: Divide both sides by 0.
0
0
=
−3z−1
0
x=
−3z−1
0
Part A:
Variable is a symbol for a number we don't know yet. It is usually a letter like x or y but can be any letter.
Example: 6z means 6 times z, and "z" is the variable.
Hence, the variables are c and w. [ Choose any one for your answer ]
Coefficient is any number used to multiply a variable.
<span>Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient.
</span>
Hence, the coefficients are 20 and 5. [Choose any one for your answer]
A constant is a<span> fixed value which does not change regardless of the variables entered.
</span>
Hence, the constant is 95.50
Part B:
Weeks saved (w) = 20
Cars washed (c) = 5
20c + 5w + 95.50 = (20 * 5) + (5 * 20) + 95.50 = 100 + 100 + 95.50 = 295.50
Hence, Marla will have $ 295.50 in her account.
Part C:
In <span>20c + 5w + 95.50, Marla's mom deposits $ 20 after every car wash.
If Marla's mom deposits only $ 10 after every car wash, then, the new equation would be : 10</span><span>c + 5w + 95.50
Hence, the coefficient will change from 20 to 10. </span>
I just answered a so let's start with b :
______________________________
b. The equivalent resistance of series
resistances is equal to their sum
Thus :
equivalent resistance = 480 + 360
equivalent resistance = 840
_______________________________
c.
I = V ÷ R
I = 120 ÷ 840
I = 0.1428 A
_______________________________
d. 0.1428 A
_______________________________
e. 480 ===》 120 - ( 480 × 0.1428 ) =
120 - 68.544 =
51.456
360 ===》 120 - ( 360 × 0.1428 ) =
120 - 51.408 =
68.592
_______________________________
f. 480 ===》68.544 lower than battery
360 ===》 51.408 lower than battery
Answer:
(-4,-4)
Step-by-step explanation:
Anytime you reflect a coordinate point across the x-axis, the y-coordinate becomes its opposite and the x-coordinate stays the same.
In this coordinate: (-4,4)
Reflecting (-4,4) across the x-axis means the x-coordinate (-4) would stay the same and the y-coordinate (4) would become its opposite (-4).
The new coordinates after being reflected across the x-axis are (-4,-4).
