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vitfil [10]
1 year ago
6

A rectangle has a width represented by the expression 2y and a length represented by 12y - 5. which expression represents the ar

ea of the rectangle? 12y2 – 5y 24y2 – 10y 24y – 10 28y – 10
Mathematics
1 answer:
docker41 [41]1 year ago
6 0

Correct option is B. Area of rectangle is 24y^{2} - 10 y

We know that area of rectangle = Length × Width

We are given,

Length = 12y - 5

Width = 2y

So, area of rectangle = (12y - 5) × (2y)

=   (12y - 5) × (2y)

=   (12y ×  2y) - (5 × 2y)

=   24 y^{2} - 10 y

<h3>What are algebraic equations?</h3>

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. Also Check: Algebraic Expressions. In simple words, equations mean equality i.e. the equal sign.

To learn more about algebraic equations from the given link

brainly.com/question/11516438

#SPJ4

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The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.15. If there a
sashaice [31]

Answer:

P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969

P(X \geq 1)= 1-P(X

P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n

P(X \geq 1)= 1-P(X

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.15)

what is the probability that no errors are made?

For this case means that all the questions were correct so we want this probability:

P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969

what is the probability that at least one error made?

For this case we want this probability:

P(X \geq 1)

And we can use the complement rule:

P(X \geq 1)= 1-P(X

If there are n questions and the probability of a marking error is p rather than 0.15, give expressions for the probabilities of no errors  and at least one error

P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n

P(X \geq 1)= 1-P(X

8 0
3 years ago
keith is an independent filmmaker . hes planning to serve pizza and sub sandwiches at his first film debut . the number of sandw
tamaranim1 [39]

Answer:

35 sandwiches

Step-by-step explanation:

62÷2=31

31+4=35

3 0
3 years ago
Use the diagram to determine which statement is true
hichkok12 [17]
A. Area of ABCD - Area of DGA = Area of DEFG
s^2 - 1/2bh = s^2
(5)^2 - 1/2(4)(3) = (3)^2
25 - 1/2(12) = 9
25 - 24 = 9
1 not equal to 9

B. Area of ABCD - Area of GHIA = Area of DGA
s^2 - s^2 = 1/2bh
(5)^2 - (4)^2 = 1/2(4)(3)
25 - 16 = 1/2(12)
9 not equal to 6

C. Area of ABCD + Area of DGA = Area of GHIA
s^2 + 1/2bh = s^2
(5)^2 + 1/2(4)(3) = (4)^2
25 + 1/2(12) = 16
25 + 6 = 16
31 not equal to 16

D. Area of DEFG + Area of GHIA = Area of ABCD
s^2 + s^2 = s^2
(3)^2 + (4)^2 = (5)^2
9 + 16 = 25
25 = 25

The answer is D.
5 0
3 years ago
Read 2 more answers
Subtract 7x^2−5xy+8y2 from −2x^2−15xy+9y^2
Digiron [165]

Answer

Subtract 7x^2 -5xy+8y^2 from -2x^2 -15xy+9y^2

then;

-2x^2 -15xy+9y^2 - (7x^2 -5xy+8y^2)

Remove the bracket we have;

-2x^2 -15xy+9y^2 - 7x^2 + 5xy - 8y^2

Like terms are those terms which have same variable to the same power.

Combine like terms;

-9x^2 -10xy+y^2

Therefore, Subtracting 7x^2 -5xy+8y^2 from -2x^2 -15xy+9y^2 we get -9x^2 -10xy+y^2

7 0
3 years ago
A square painting is surrounded by a frame. the outside edges of the frame are x inches in length, and the frame is 3 inches thi
QveST [7]
I believe the correct answer from the choices listed above is the third option. The total area of the frame would be expressed as A = <span>x^2+12x+36. </span>
Hope this answers the question. Have a nice day.
8 0
3 years ago
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