Answer:
yes
Step-by-step explanation:
Direct variation is represented as
y = kx, where k is a constant.
We can rewrite y - x = 0 as
y = x (add x to both sides)
This can be looked at as
y = (1)x , so this is a direct variation relationship where k = 1
<em>Let </em><em>the </em><em>two </em><em>numbers </em><em>be </em><em>3x </em><em>and </em><em>4x</em>
<em>sum </em><em>=</em><em>3x </em><em>+</em><em> </em><em>4x </em><em>=</em><em> </em><em>7x</em>
<em>7x </em><em>=</em><em> </em><em>133</em>
<em>x=</em><em> </em><em>19</em>
<em>the </em><em>numbers </em><em>are </em><em>:</em>
<em>3(</em><em>1</em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>57</em>
<em>4(</em><em>1</em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>76</em>
Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
=
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
First you need to isolate the variable so for #1 I would add 2t on both sides and add 3 on both sides. That makes the inequality -4t<-16. Then divide both sides by -4 to get t<4. This means that t is less than 4 so you need to draw an open circle on four on the number line and draw an arrow pointing to everything less than 4. ( If the inequality is equal to and less than/ greater than a # shade in the circle.)
Answer:
0.599 is the probability that a randomly selected page does not need to be retyped.
Step-by-step explanation:
We are given the following in the question:
The number of typing errors made by a typist has a Poisson distribution.

The probability is given by:
We have to find the probability that a randomly selected page does not need to be retyped
P(less than or equal to 7 mistakes in a page)

Thus, 0.599 is the probability that a randomly selected page does not need to be retyped.