Answer:
70.06
Mean score = 70
Step-by-step explanation:
16% of students scored higher than 80 on a recent normally distributed exam the standard deviation is 10 what is the mean
For a normal distribution :
Zscore = (x - mean) / standard deviation
x = score
P(Z > 80) = 16% = 0.16 ; corresponding Zscore = 0.994 (Z probability calculator)
Therefore ;
0.994 = (80 - mean) / 10
0.994 * 10 = 80 - mean
9.94 = 80 - mean
Mean = 80 - 9.94
Mean = 70.06
Hence, the mean score = 70.06 = 70
Using the formula I=Pxrxt
P is the principal amount, $9000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 1....year(s) time periods.
So, t is 1....year time periods.
To find the simple interest, we multiply 9000 × 0.05 × 1 to get that:
The interest is: $450.00
So the balance will be $9450.00 at the end of the first year.
Answer:
Part 1) The measure of angle d is 65°
Part 2) The measure of angle c is 89°
Part 3) The measure of arc a is 131°
Part 4) The measure of arc b is 47°
Step-by-step explanation:
we know that
In an inscribed quadrilateral, opposite angles are supplementary
step 1
Find the measure of angle d
∠d+115°=180°
∠d=180°-115°=65°
step 2
Find the measure of angle c
∠c+91°=180°
∠c=180°-91°=89°
step 3
Find the measure of arc a
we know that
The inscribed angle measures half that of the arc comprising
115°=(1/2)[99°+arc a]
230°=[99°+arc a]
arc a=230°-99°=131°
step 4
Find the measure of arc b
we know that
The inscribed angle measures half that of the arc comprising
∠c=(1/2)[arc a+arc b]
substitute the values
89°=(1/2)[131°+arc b]
178°=[131°+arc b]
arc b=178°-131°=47°
Each diagonal is counted twice, so its 35.
I don't see any triangles
