Answer:
U shaped.
Step-by-step explanation:
When x = 0 , f(x) = 6
when x =1 yf(x) = 0
when x = 2 f(x) = -2
x = 3 f(x) = 0
x = 4 f(x) = 6.
So the graphs falls from the left and rises to the right in the form of a U.
You can draw a rough graph to confirm this.
Everything should add up to 100%. So do
20 + 40 + 10 + 5 = 75
Now subtract 75 from 100
100 -75 = 25
25%
Answer:
84.134%
Step-by-step explanation:
We solve this question using the z score formula.
The formula for calculating a z-score is z = (x-μ)/σ
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
We are were asked in the question that:
Suppose that adult women in China have heights that are normally distributed with a
mean = 155 centimeters
standard deviation = 8 centimeters. Of the Chinese women, what percent are shorter than 163cm?
Using the z score formula
z = (x-μ)/σ
z = (163 - 155)/8
z = 8/8
z = 1
Determining the Probability value from Z-Table:
P(x ≤ 163) = P(x < 163)
= 0.84134
Converting to percentage
= 0.84134 × 100%
= 84.134%
The percent of Chinese women that are shorter than 163cm is 84.134%
Answer:
1. x = 15, y = 8
2. m∠MSN = 90°
3. x = 20
4. y = 9
5. x = 8, m∠PQS = 24, m∠SQR = 66
6. y = 15, m∠RPT = 55, m∠TPW = 35
Step-by-step explanation:
1. to solve for y
9y + 18 = 90
9y + 18 - 18 = 90 - 18
9y = 72
9y/9 = 72/9
y = 8
to solve for x
5x + x = 90
6x = 90
6x/6 = 90/6
x = 15
2. m∠MSN = 90°, because ∠MSN is a right angle, which is equal to 90
3. To find x
3x + 10 + x = 90
3x + x = 4x
4x + 10 = 90
4x + 10 - 10 = 90 - 10
4x = 80
4x/4 = 80/4
x = 20
4. To find y
7y - 3 + 3y + 3 = 90
7y + 3y = 10
-3 + 3 = 0
10y = 90
10y/10 = 90/10
y = 9
5. To find x
3x + 8x + 2 = 90
3x + 8x = 11x
11x + 2 = 90
11x + 2 - 2 = 90 -2
11x = 88
11x/11 = 88/11
x = 8
To find ∠PQS
∠PQS = 3x
x = 8
so 3(x) = 3(8)
3(8) = 24
so ∠PQS = 24
To find ∠SQR
∠SQR = 8x + 2
x = 8
so ∠SQR = 8(x) + 2 = 8(8) + 2
8(8) + 2
= 64 + 2
= 66
6. To find y
4y - 5 + 2y + 5 = 90
4y + 2y = 6y
-5 + 5 = 0
6y = 90
6y/6 = 90/6
y = 15
To find ∠RPT
∠RPT = 4y - 5
y = 15
so ∠RPT = 4y - 5 = 4(15) - 5
4(15) - 5
= 60 - 5
= 55
To find ∠TPW
∠TPW = 2y + 5
y = 15
so ∠TPW = 2y + 5 = 2(15) + 5
2(15) + 5
= 30 + 5
= 35
Answer:
20 teaspoons
Per batch amounts:
Salt = 15/3 = 5 teaspoons
garlic powder = 6/3 = 2 teaspoons
8 teaspoons of garlic powder number of batches:
8/2 = 4 batches
4 batches of salt
4 * 5 = 20 teaspoons
Step-by-step explanation:
Hope this helps:) Also hi lofi girl nice to meet you lol