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
Lapatulllka [165]
3 years ago
9

Express as a unit rate. Betty drives her car 150 km in 2 h. Explain

Mathematics
1 answer:
Lena [83]3 years ago
8 0

Answer:

<h2>75 km per hour</h2>

Step-by-step explanation:

\frac{150km}{2hr} divided by two is \frac{75km}{1hr}.

You might be interested in
PLEASE HELP !!!!
Bess [88]

Answer:

About 31 years

Step-by-step explanation:

Given data

Principal= $3500

Rate=  4.75%

Final amount= $15,000

Time=??

The expression for time on compound interest is

Calculate time, solve for t

t = ln(A/P) / r

substitute

Calculate time, solve for t

t = ln(15000/3500) / 0.0475

t= ln(4.2857)/ 0.0475

t= 1.4552/0.0475

t= 30.63 years

Hence it will take about 31 years

4 0
3 years ago
The adult height of a male is about 1.19 times his height at age 12. The adult height of a female is about 1.07 times her height
marissa [1.9K]
If you are 12 years old, just measure your own height, then multiply your height by 1.19 if you’re a male, or 1.07 if you’re a female.
6 0
3 years ago
Read 2 more answers
Match each expression written in standard form to the equivalent expression in factored form
den301095 [7]

Answer:

1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)

4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)

Step-by-step explanation:

To obtain the answer to the question, first let us factorise each expression. This is illustrated below:

1. 15x^7y^2 + 4x^3

Common factor is x^3, therefore the expression is written as:

x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x

Common factor is 3x, therefore the expression is written as:

3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy

Common factor is 3xy, therefore the expression is written as:

3xy(5x^6y + 2)

4. 15x^7 + 10y^2

Common factor is 5, therefore the expression can be written as:

5(3x^7 + 2y^2)

4 0
3 years ago
Find the specified element in the inverse of the given matrix
JulijaS [17]
What is the given matrix?
you didn't show a matrix.
the components of the matrix are the elements.
and the elements of the inverse matrix are the elements of the inverse matrix
1) 
so if matrix A is  1   4  1   
                          2   5  2
                          3   6  3
2)
14114
25225
36336

3)
15 24 12
15 12 24
4)
[A]=(15+24+12=51)-(15+12+24=51)
[A]=0
5)
    52    23   25
    63    23   36

    41    11   14 
    63    33   36

    41    12    14
    52    12    25
6)

    15-12   6-6   12-15

     12-6    3-3    6-12

      8-5     2-2     5-8


7) 
     3    0   -3

     6    0   -6

     3    0   -3
 8) 
     (+)3    (-)0   (+)-3

     (-)6    (+)0   (-)-6

     (+)3    (-)0   (+)-3
=

    3  0  -3
   -6  0   6
    3  0  -3

9)
        3 -6  3
N=   0  0  0
       -3  6 -3
10) the inverse of [A]= 1/|A|*[N]
which is in this case ⁻A= 0
because |A|=0

6 0
3 years ago
The game of European roulette slots: 18 red, 18 black, and I green. A ball is spun onto the wheel and will eventually land ina s
Anestetic [448]

Answer:

(a) E(x) = -0.081  S.D = 3

(b) E(x) = -0.081  S.D = 1.73

(c) it is less risky to bet $1 in three different rounds as compared to betting $3 in a single round.    

Step-by-step explanation:

(a) You bet $3 on a single round which means that if you win the game, your amount will double ($6), your profit will be $3. Whereas, if you lose the round, your profit will be -$3. You can only bet on red or black and both have 18 slots each.

So, the probability of landing the ball in a red/black slot = 18/37. This is the probability of winning. The probability of losing can be calculated as 1-18/37 = 19/37.

We can make a probability distribution table:

x                    3             -3

P(X=x)         18/37      19/37

Expected value E(x) can be calculated as:

E(x) = ∑ x.P(x)

      = (3)(18/37) + (-3)(19/37)

E(x) = -0.081

Standard deviation can be calculated by the following formula:

Var(x) = E(x²) - E(x)²

S.D = √Var(x)

We need to first calculate E(x²).

E(x²) = ∑x².P(x)

       = (3)²(18/37) + (-3)²(19/37)

       = (9)(18/37) + (9)(19/37)

E(x²) = 9

Var(x) = E(x²) - E(x)²

         = 9 - (-0.081)²

Var(x) = 8.993

S.D = √8.993

S.D = 2.99 ≅ 3

(b) Now, the betting price is $1 and 3 rounds are played. We will compute the expectation for one round and then add it thrice to find the expectation for three rounds. Similarly, for the standard deviations, we will add the individual variances and then consider the square root of it.

E(x) = ∑ x.P(x)

      = (1)(18/37) + (-1)(19/37)

E(x) = -0.027

Standard deviation can be calculated by the following formula:

Var(x) = E(x²) - E(x)²

S.D = √Var(x)

We need to first calculate E(x²).

E(x²) = ∑x².P(x)

       = (1)²(18/37) + (-1)²(19/37)

       = (1)(18/37) + (1)(19/37)

E(x²) = 1

Var(x) = E(x²) - E(x)²

         = 1 - (-0.027)²

Var(x) = 0.9992

The expectation for one round is -0.027

For three rounds,

E(x₁ + x₂ + x₃) = E(x₁) + E(x₂) + E(x₃)

                     = (-0.027) + (-0.027) + (-0.027)

E(x₁ + x₂ + x₃) = -0.081

Similarly, the variance for one round is 0.9992.

Var (x₁ + x₂ + x₃) = Var(x₁) + Var(x₂) + Var(x₃)

                           = 0.9992 + 0.9992 + 0.9992

Var (x₁ + x₂ + x₃) = 2.9976

S.D = √2.9976

S.D = 1.73              

(c) The expected values for both part (a) and (b) are the same but the standard deviation is lower in part (c) as compared to (b). Since the standard deviation is less in part (c), it means that it is <u>less risky to bet $1 in three different rounds as compared to betting $3 in a single round.</u>            

5 0
3 years ago
Other questions:
  • The probability of event A is 0.56, and the probability of event B is 0.34. If A and B are independent events, then P(A and B) =
    14·2 answers
  • Logan made a profit of $210.00 as a mobile groomer. He charged $75.00 per appointment and received $35.00 in tips, but also had
    13·1 answer
  • What is the least common multiple of 28 and 8
    14·2 answers
  • Which of the following equations is an example of inverse variation between the variables x and y
    10·1 answer
  • Write the equation of the circle with center at (-2, 1), radius of 5.
    14·1 answer
  • Helppppppppppppppppppppppp meeeeeeee
    13·2 answers
  • Determine the x- and y- intercepts for the graph defined by the given equation.
    12·2 answers
  • Instructions: Find the measurement of the diagonal indicated in the following parallelogram.
    5·1 answer
  • Ross is shopping for mulch that costs $1.29 per cubic foot. During his first trip to the store, he bought 16.5 cubic feet. He ne
    6·1 answer
  • Please take a look at the picture. Please write your answer with an explanation.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!