Answer:
The table representing the number of students by which mode of transport they travel is given as:
Walk or bike Bus Car Row Total
Below age 15 87 60 18 165
Age 15 and above 65 50 80 195
Column Total 152 110 98 360
We know that a relative frequency of an event is the ratio of frequency to the total number of trials.
i..e we divide each frequencies by 360 to obtain a two-way relative frequency.
Hence,the table is given as:
Walk or bike Bus Car Row Total
Below age 15 0.24 0.17 0.05 0.46
Age 15 and above 0.18 0.14 0.22 0.54
Column Total 0.42 0.31 0.27 1
12/15÷1/5
when dividing fractions, all you have to do is multiply the first number by the second number's reciprocal
(reciprocal is denominator over numerator)
12/15÷1/5
12/15×5/1
remember when multiplying fractions it's the the two numerators multiplied together over the two denominators multiplied
12/15×5/1
60/15
4
The answer is 4
Answer:
The vertex angle is 94 degrees
Step-by-step explanation:
Let the vertex angle be x
Mathematically, the base angles of an isosceles triangle are the same
So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too
Mathematically, the sum of angles in a triangle is 180 degrees
Thus;
43 + 43 + x = 180
x = 180-86
x = 94 degrees
Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
Answer:
12/4 i really hope this helps i took the test and got a 100
Step-by-step explanation:
