Answer:
0.89736
Step-by-step explanation:
We solve this question using z score formula
Z score = x - μ/σ
x = raw score
μ = population mean
σ = population standard deviation
Hence,
x = 258, μ = 220, σ = 30
Z = 258 - 220/30
=1.26667
Probability value from Z-Table:
P(x<258) = 0.89736
Therefore, the probability that his weights is less than 258 kg is 0.89736
Answer:
The coordinates of point C are (8,8.5)
Step-by-step explanation:
The picture of the question in the attached figure
Let
----> coordinates of point C
we have that
The horizontal distance AB is equal to

The vertical distance AB is equal to

Find the horizontal coordinate of point C
we know that

so

----> equation A
----> equation B
substitute equation A in equation B



so
The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

Find the vertical coordinate of point C
we know that

so

----> equation A
----> equation B
substitute equation A in equation B



so
The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

therefore
The coordinates of point C are (8,8.5)
Answer:
see below
Step-by-step explanation:
The graph of it on a number line is an open circle at x=3 with a line extending to the right through larger numbers.
When the inequality does not include the "or equal to" case, the boundary is graphed as a dashed line (on an x-y plane) or open circle (on a number line). The shaded area covers values of the variable that meet the condition of the inequality. Here, those are values of x that are more than 3.
Answer:
$18.375 or rounded = $18.38 (brainliest if correct)
Step-by-step explanation:
25.00- 7.5 = $17.5
5% of 17.5 = 0.875
17.5 +0.875 = 18.375
Answer:
Options A, B and C are CORRECT PROPORTIONS
Step-by-step explanation:
Option A
3:5 = 6:10
The LHS must equal the RHS
3:5 is in it's lowest term.
6/10 will be in it's lowest term by dividing the numerator and denominator by 2.
6/10 = 3/5
Option B
3/6 and 5/10.
Diving 3/6 fractions by 3
= 1/2
Dividing 5/10 fraction by 5
= 1/2
Option C
Dividing 6/3 by 3 = 2
Dividing 10/5 by 5 = 2
Thats how you work through equivalent proportional fractions