Answer:
11. C=5
12. SQRT (43)
Step-by-step explanation:
11. 3^2+4^2=9+16=25
12. 8^2-4^2=64−16=48
Answer:
96
Step-by-step explanation:
<em>A= a+b/2 h</em>
<h3>a= base</h3><h3>b= base</h3><h3>h= height</h3>
10+14/2=12*8=96
The two z-scores are -1.53 and 1.53
Step-by-step explanation:
To find the two z-scores that separate the middle 87.4% of the distribution from the area in the tails of the standard normal distribution
- Assume that z-score is between -c and c ⇒ P(-c < z < c) = the given value
- Find the value of P(z < -c or z > c) = 1 - the given value
- P(z < -c) + P(z > c) = the answer of the previous step
- 2*P(z < -c) = the answer of the previous step
- Find the value of P(z < -c)
- In the z-table having area to the left of z, look for the value closest to the value of P(z < -c) inside the table to find the closest value of z
∵ P(-c < z < c) = 87.4%
∵ 87.4% = 87.4 ÷ 100 = 0.874
∴ P(-c < z < c) = 0.874
∵ P(z > c) = 1 - 0.874 = 0.126
∴ P(z < -c) + P(z > c) = 0.126
∵ P(z > c) = P(z < -c)
∴ P(z < -c) + P(z < -c) = 0.126
∴ 2*P(z < -c) = 0.126
- Divide both sides by 2
∴ P(z < -c) = 0.063
Let us use the z-table to find the corresponding values of
z to 0.063
∵ The corresponding value of z to 0.063 = -1.53
∴ The two z-scores = -1.53 and 1.53
The attached figure for more understand
The two z-scores are -1.53 and 1.53
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Answer:
48 cm²
Step-by-step explanation:
shaded area = area of rectangle - area of triangle
area of rectangle = 7 × 8 = 56 cm²
area of triangle =
bh ( b is the base and h the height )
Here b = 7 - 3 = 4 cm and h = 8 - 4 = 4 cm
area of triangle =
× 4 × 4 = 2 × 4 = 8 cm²
Then
shaded area = 56 - 8 = 48 cm²
The right answer is Option D.
Step-by-step explanation:
Given,
Base salary = $18000
Commission rate = 9%
Amount Alan wants to earn = $45000
As base salary is $18000, therefore we will subtract this amount.
Amount Alan wants to earn = 45000 - 18000 = 27000
Let,
x be the total amount.
According to given statement;
9% of x > 27000

Dividing both sides by 0.09

He needs to sell items of worth more than $300000.
The right answer is Option D.
Keywords: inequality, division
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