Answer:
z-score = 2.
Step-by-step explanation:
The z-score = (x - m) / d where x =the person's score, m = the mean and d = the standard deviation.
So we have (87-67)/10
= 2.
Answer:
7 . 4 + 6 - 12 : 4 = 31
Step-by-step explanation:
* To solve this problem lets revise the order of operations in
mathematics
- The operations are:
# Addition
# Subtraction
# Multiplication
# Division
# Exponentiation
# Grouping ⇒ Parenthesis or brackets
- The order of these operations is:
# Parenthesis
# Exponents
# Multiplication and Division which comes first from left to right
# Addition and Subtraction which comes first from left to right
- There is a word made from the first letter of each operation
PEMDAS to remember the order of operations
* Lets solve the problem
∵ 7 . 4 + 6 - 12 : 4
∵ The (.) means multiply the numbers
∵ The symbol (:) means divided the numbers
∴ At first multiply 7 by 4 and divide 12 by 4
∴ (7 × 4) + 6 - (12 ÷ 4)
∴ 28 + 6 - 3
∵ Addition comes before subtraction from the left
∴ (28 + 6) - 3
∴ 34 - 3 = 31
∴ 7 . 4 + 6 - 12 : 4 = 31
Answer: m∠1 = 32°
Step-by-step explanation:
Since we have given that
The angled support making angle with the floor = 32°
So, we need to find the measure of angle 1 so that the steps are parallel to the floor.
As we know that "To make parallel to the floor , there should be alternate interior angle which must be equal."
So, m∠1 = 32° ( the angled support making angle with the floor)
Hence, m∠1 = 32°
Answer:
13.8
Step-by-step explanation:
Recall the trigonometric ratios
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
Now lets look back at the question
We are given an angle and its adjacent side length (11) and we need to find the hypotenuse
The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x
( remember that cosine = adjacent over hypotenuse )
step 1 multiply each side by x
now we have 
step 2 divide each side by cos(37)
we're left with x = 13.77439
Our last step would be to round to the nearest tenth
We would get that the answer is 13.8
Answer: 40
Step-by-step explanation:
maybe
