1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kari74 [83]
3 years ago
10

Omae wa sinderou nani (questions in the image btw)

Mathematics
1 answer:
Korvikt [17]3 years ago
5 0

Let a be the number of hours worked at Job A and b the number of hours at Job B. Then

a+b=30

and

7.5a+8b=234.50

From the first equation,

b=30-a

and substituting this into the second gives

7.5a+8(30-a)=234.50\implies-0.5a+240=234.50

\implies0.5a=5.50

\implies\boxed{a=11}

You might be interested in
What is an equation of the line in point slope form that passes through the given point and has the given slope?
NemiM [27]
It is the fourth option, y+8=3(x-8)
3 0
3 years ago
Determine the mean and variance of the random variable with the following probability mass function. f(x) = (216/43)(1/6)^x, x =
anzhelika [568]

Answer:

The mean of function provided is 1.186.

The variance of the provided f(x) is 0.198

Step-by-step explanation:

It is provided that the probability mass function is,

f(x)= (214/43)×(1/6)ˣ; x=1,2,3

The mean is calculated as,

E(X)=∑  x × f(x)

        x

=1×(216/43)×(1/6)¹ + 2 × (216/43)×(1/6)² × 3 × (216/43)×(1/6)³

=36/43 + 12/43  +3/43

​  =1.186

​  

The mean of function provided is 1.186

Explanation | Common mistakes | Hint for next step

The expected value of the probability mass function,f(x)= (216/43×(1/6)ˣ

 is 1.1861.186 .

Step 2 of 2

To calculate the variance, first calculate  E(X²)=∑ x² × f(x)

= 1² ×(216/43) × (1/6)¹ + 2² × (216/43) × (1/6)² × 3² × (216/43) ×(1/6)³

=36/43 +24/43 +9/43

=1.605

​  

The variance is calculated as,

V(X) =E(X²) - [E(X)]²

=1.605 -(1.186)²

= 0.198

The variance of the provided f(x) is 0.198

Explanation | Common mistakes

The variance of function f(x)=(216/43) × (1/6)ˣ ; x =1,2,3 is 0.198

3 0
3 years ago
A cylinder has a height of 16 yards. Its volume is 6,079.04 cubic yards. What is the radius
Katen [24]

Answer:

The radius of the cylinder is: r = 11 yards

Step-by-step explanation:

Given

The height of cylinder = h = 16 yards

Volume of cylinder = V = 6079.04 cubic yards

To determine

The radius of cylinder = r = ?

Using the formula involving volume of the cyliner

V = πr²h

substituting h = 16, V = 6079.04 and π = 3.14

6079.04 = 3.14 (r²) 16

r² = [6079.04] / [(3.14) (16)]

r² = 6079.04 / 50.24

r² = 121

r=\sqrt{121},\:r=-\sqrt{121}

r=11,\:r=-11

As radius can not be negative.

Therefore, the radius of the cylinder is: r = 11 yards

6 0
3 years ago
Let v be the volume of a sphere, s be the surface area of the sphere, and r be the radius of the sphere. which equation represen
MakcuM [25]
Let
v-------> <span> the volume of a sphere
s-------> t</span><span>he surface area of the sphere
r------> </span><span>the radius of the sphere

we know that
v=(4/3)*pi*r</span>³-----> v=(r/3)*4*pi*r²------> equation 1
and
S=4*pi*r²-----> equation 2

substitute equation 2 in equation 1
so
v=(r/3)*4*pi*r²-------> v=(r/3)*s

the answer is
the equation that <span>represents the relationship between these three measures
</span> v=(r/3)*s

6 0
3 years ago
A bag contains 12 blue marbles and 8 blue what is the ratio of blue to red
luda_lava [24]

Answer:12:8 or 12 to 8 or u could do it in fraction form

7 0
3 years ago
Other questions:
  • Tiana walks 180 feet per minute. How many feet per second does she walk?
    5·2 answers
  • Please help me out with this problem!
    13·1 answer
  • What is y-13x=9 and how did you solve it
    11·1 answer
  • In the quadratic formula,
    8·1 answer
  • Polygon ABCD is rotated 90° counterclockwise about the origin to create polygon A'B'C'D'. natch each set of coordinates to the v
    15·1 answer
  • What is the distance between points P(8, 5) and Q(2,-3) to the nearest tenth?
    11·1 answer
  • 17. What is the solution to -7s=-35? (1 point)<br> Os=-6<br> Os=-5<br> Os = 5<br> Os=6
    9·2 answers
  • 5⁄8 ÷ 3⁄8 =________ pls help me
    5·2 answers
  • Find the area of a circle with radius, r = 5.69m.<br> Give your answer rounded to 2 DP.
    15·1 answer
  • Help asap for brainlist help asap
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!