The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles
<h3>What is a Pythagoras theorem?</h3>
The square of the longest side is equal to the square of the sum of the othersides.
Before we can calculate the total distance, we will need to get the hypotenuse on both sides using the Pythagoras theorem as shown:
H^2= 12^2 + 9^2
H² = 144 + 81
H² = 225
H = 15
For the other hypotenuse
h² = 12² + 5²
h² = 144 + 25
h² = 169
h = 13 mils
The total distance = 5 + 15 + 9 + 13
The total distance = 42 miles
The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles
Learn more on Pythagoras theorem here: brainly.com/question/12306722
Answer:
215 cm³
8.6 cm
Step-by-step explanation:
given,
density = 10.2 g/cm³
mass = 2.193 kg = 2193g
a. Volume = mass / density
=2193 / 10.2
= 215 cm³
b. given that base area = 25cm²
volume = base area x thickness
thickness = volume / base area
= 215 / 25
= 8.6 cm
It should be noted that the mean and the standard deviation of the data given in will be 4.26 and 1.1011 respectively.
<h3>How to solve
the mean.</h3>
From the complete information, the mean will be calculated as:
= (0.02 × 1) + (0.09 × 2) + (0.12 × 3) + (0.15 × 4) + (0.62 × 5)
E(X) = 4.26
The standard deviation will be calculated thus:
E(X²) = (0.02 × 1²) + (0.09 × 2²) + (0.12 × 3²) + (0.15 × 4²) + (0.62 × 5²)
E(X²) = 19.36
The standard deviation will then be the difference between the square root of 19.36 and 4.26². This will be 1.1011.
The expected profit of the company will be:
= 0.75 × E(X)
= 0.75 × 4.26
= $3.20
The mean of the total number of binders purchased will be:
= 4.26 + 2.74 = 7
The standard deviation will be 1.6658.
Lastly, the total expected profit will be:
= 0.75E(X) + 1.45E(Y)
= 0.75(4.26) + 1.45(2.74)
= 3.195 + 3.973
= 71.68
Learn more about standard deviation on:
brainly.com/question/24298037
Answer:
Therefore, the following results are not possible:
A) green offspring only
B) yellow offspring only
D) green and yellow offspring.
Step-by-step explanation:
We know that feather color in budgies is determined by two different genes. For blue color are combinations yyBB or yyBb. For white color is combination yybb.
By combining these two colors we can not get green and yellow.
Because green and yellow colors are in this form:
Green: YYBB, YyBB, or YYBb
Yellow: YYbb or Yybb.
Therefore, the following results are not possible:
A) green offspring only
B) yellow offspring only
D) green and yellow offspring.
D.
first, eliminate B and C, because the highest degree in these two equation is 3, a 3-degree equation has 3 roots, not 4.
between A and D, A has the roots 0, 0, 7, and -7, all real roots.
D can be factored into (x²-49)(x²+1)=0
x²=49 or x²=-1
x=7 or -7, x=i or -i two real roots, two unreal roots
for the second equation:
first, find the first term by using the formula:
the nth term=the first term + (n-1)*difference
you are given the 13th term and d=3.7
a13=a1+(13-1)d
1.9=a1+12*3.7
a1=-42.5
the sum of the first 13 terms is S=(a1+a13)*(13/2)=(-42.5+1.9)*6.5=-263.9
