8% of their total bill = 3.70
0.08x = 3.70
x = 3.70/0.08
x = 46.25 <==
The <em><u>correct answer</u></em> is:
1.5% of the scores, or 3 people.
Explanation:
A z-score tells the number of standard deviations a data point is from the mean. Since Bob's score is 2.17 standard deviations above the mean, that means his z-score is 2.17.
Using a z-table, we find the probability that a score would be to the left of, or less than, this value. In the table, this is 0.9850. However, we are interested in the number of people that scored <em>higher</em> than Bob. This means we subtract this from 1:
1-0.9850 = 0.015.
This is the percentage of people that scored higher than Bob. To convert to a percent, multiply by 100:
0.015*100 = 1.5.
To find the number of people that scored higher than Bob, take 1.5% of 200:
0.015(200) = 3.
The answer would be C because in an equation of y = | x - k | + b, you take the value outside of the abs. val. bars and shift it vertically that amount, but you take k and shift it to the negative of that value horizontally.
so basically your graph is |x| shifted 5 to the right and 4 down. this means that k would be -5 (since the shift is the k value times negative one), and b would be 4. therefore y = | x - (-5) | -5, which is equivalent to C
Answer:
10 cm
Step-by-step explanation:
Given:
No. of small spherical bulb = 1,000
radius (r) of smaller bulbs = 1 cm
Required:
radius of the bigger bulb
SOLUTION:
The following equation represents the relationship of the volume of the smaller and bigger bulb,
Where,
= volume of bigger bulb
= volume of smaller bulb
1,000 is the number of smaller bulbs melted to form the bigger bulb.
Volume of a sphere is given as, ⁴/3πr³
Therefore:
= ⁴/3*π*r³ = 4πr³/3
= ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3
Plug the above values into the equation below:
(12pie cancels 12 pie)
(taking the cube root of each side)
Radius of the bigger bulb = 10 cm
Answer:
The answer is below
Step-by-step explanation:
AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4
In a parallelogram, consecutive angles are supplementary and opposite sides are equal.
Therefore for parallelogram ABCD, AB = CD, CB = AD
Since AD = CB (opposite sides of a parallelogram are equal):
x + 8 = 5y + 4
5y - x = 8 - 4
5y - x = 4 (1)
∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:
16 - x + 2y + 13 = 180
2y - x + 29 = 180
2y - x = 180 -29
2y - x = 151 (2)
To find x and y, subtract equation 1 from equation 2:
3y = -147
y = -49
Put y = -49 in equation 2
2(-49) - x = 151
x = -98 - 151
x = -249
