Answer:
(1,4)
Step-by-step explanation:
Which ordered pair is a solution of the equation? y = 7 x − 3
a. (1,4) b. (-1,-4) c. both d. neither
Solution
y=7x-3
Solve by trying each ordered pair
a. (1,4)
x=1, y=4
Substituting the value of x and y into the equation
y=7x-3
4=7(1)-3
4=7-3
4=4
This is a true statement
b. (-1,-4)
x=-1, y=-4
Substitute the value into the equation
y=7x-3
-4=7(-1)-3
-4= -7-3
-4= -11
This is not a true statement
This true statement is when x=1 and y=4
So, the ordered pair (1, 4) is the solution
Answer:
0.153
Step-by-step explanation:
Chjmk
In this question, we are asked to calculate the probability of selecting a sunflower greater than a particular height.
What to do in this case is to first find the z-score based on this information given.
Mathematically,
Z-score = x- mean/standard deviation
Here, z-score will have a value of;
(16.4-14.2)/2.15 = 1.023
Therefore,
P(height >16.4ft) = P(Zscore >1.023) = 1-Fz(1.023) = 0.153
Answer:
819÷13=63
Step-by-step explanation:
you divide 819 by 13 and you get 63
The woman is 6 foot tall
<h3>What is proportion?</h3>
Proportion can be defined as the mathematical comparison of two numbers.
These numbers could be numbers, elements, set or people
From the information given, we have that;
- The globe is 3 feet and casts a shadow of 8ft
- The woman cast a shadow of 16ft and is x feet tall
So,
if the globe is 3 foot tall and casts a shadow of 8ft
Then the woman is x foot tall to cast a shadow of 16ft
cross multiply
8x = 24
Make 'x' the subject
x = 48/ 8
x = 6 foot
Thus, the woman is 6 foot tall
Learn more about proportion here:
brainly.com/question/1781657
#SPJ1
Answer:
{-1, 4}
Step-by-step explanation:
In the given f(x) = -1/2x^2 + 3/2x - 2
set f(x) = 0 and then multiply all the numeric terms by -2 to remove the fractions:
f(x) = -1/2x^2 + 3/2x - 2 = 0 => 1x^2 - 3x - 4 = 0
This factors into (x - 4)(x + 1) = 0, whose roots are {-1, 4}. These are the zeros.
