Answer:
D
Step-by-step explanation:
Since Alyssa wants to know her gas mileage, which is MILES PER GALLON, she will need to divide total miles by total gallons.
"per gallon" means per 1 unit of gallon, which we will get ONLY IF WE DIVIDE by TOTAL NUMBER OF GALLONS, hence we get "per unit of gallon".
<u>So we need to divide 243.8 miles by 7.71 gallons to get Alyssa's gas mileage.</u>
Answer choice D is right.
Answer:
The correct option is;
An isosceles triangle
Step-by-step explanation:
The parameters given are;
Line segments XY and ZY are tangents to circle O.
ΔXYZ has points X and Z on the circle.
XY and ZY are tangents that intersect at point Y outside the circle'
Therefore, given the circle has center O, then;
OY ≅ OZ = Radius of circle with center O
∠OXY ≅ ∠OZY = 90° (The radius line from the circle center to the tangent point is perpendicular)
OY ≅ OY (Reflexive property)
ΔOYX and ΔOYZ are right triangles (Triangle with one angle = 90°
ΔOYX ≅ ΔOYZ (Hypotenuse Leg, HL, rule of congruency)
Therefore;
XY = ZY (Corresponding Parts of Congruent Triangles are Congruent CPCTC)
Triangle XYZ is an isosceles triangle (Triangle with two equal sides).
Answer: P(hist& french)=16/200=0.08
Step-by-step explanation:
To find the required probability we have to know what is the number of students that take both History and French ( Intersection of 2 circles in Venn diagram)
1. Lets find the number of students that take History or French or both.
We know that 8% from 200 take neither History or French. So number or students who take History or French or both is 200-200*0.08=184
2. Let number of students that takes French (or both Fr+Hist)=x (left circle)
So number of students that takes History (or both Fr+Hist)=4x (right circle)
So number of students that take both French+History= 10% from 4x or
0.1*4x=0.4x (circles' intersection)
3. Now we have the equation as follows:
x+4*x-0.4*x = 184
4.6*x=184
x=40 students takes French (or both French+ History)
4*x= 40*4=160 students takes History (or both French+ History)
10% from 160 =0.1*160=16 students takes both History and French
P(hist& french)=16/200=0.08
Answer:
y = 0.2x + 250
Step-by-step explanation:
let the sales be x and y be earnings
thus,
given
x₁ = $3,500 ; y₁ = $950
and,
x₂ = $2,800 ; y₂ = $810
Now,
the standard line equation is given as:
y = mx + c
here,
m is the slope
c is the constant
also,
m = 
or
m = 
or
m = 0.2
substituting the value of 'm' in the equation, we get
y = 0.2x + c
now,
substituting the x₁ = $3,500 and y₁ = $950 in the above equation, we get
$950 = 0.2 × $3,500 + c
or
$950 = $700 + c
or
c = $250
hence,
The equation comes out as:
y = 0.2x + 250