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2 years ago

Write a verbal expression for 4m2+2

Mathematics

2 answers:

hammer [34]2 years ago

8 0

Answer:

Step-by-step explanation:

4m^2+2

Genrish500 [490]2 years ago

5 0

4 times the number m squared increased by 2

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Carmen draws this area model to help her divide 1,800 by 9. She says the quotient is 20. Does Carmen's model make sense? Use the

earnstyle [38]

Answer:

Yes

Step-by-step explanation:

Her answer makes sense because 1800 ÷ 9 is 20

3 0

2 years ago

Todor was trying to factor 10x^2-5x+15. He found that the greatest common factor of these terms was 5 and made an area model: Wh

jenyasd209 [6]

Answer:

The width of the area model is equal to

$(2x^2-x+3)\ units$

Step-by-step explanation:

we know that

The area of a rectangular model is given by the formula

$A=LW$ ----> equation A

where

L is the length

W is the width

we have

$A=10x^2-5x+15$

Factor the expression

$A=5(2x^2-x+3)$

substitute the value of the Area in the equation A

$5(2x^2-x+3)=LW$

In this problem

The greatest common factor of these terms is the length (L=5 units)

we can say that the width is equal to (2x^2-x+3)

therefore

The width of the area model is equal to

$(2x^2-x+3)\ units$

4 0

2 years ago

What is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³ A pyramid with a right triangular base. The right triangu

notsponge [240]

Answer:

The volume of the pyramid is $1,260\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the triangular pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the triangular base

H is the height of the pyramid

step 1

Find the area of the base B

$B=\frac{1}{2}bh$

we have

$b=14\ cm$

$h=18\ cm$

substitute

$B=\frac{1}{2}(14)(18)=126\ cm^{2}$

step 2

Find the volume

we have

$B=126\ cm^{2}$

$H=30\ cm$

substitute

$V=\frac{1}{3}BH$

$V=\frac{1}{3}(126)(30)=1,260\ cm^{3}$

5 0

2 years ago

Read 2 more answers

According to government data, the probability that an adult was never in a museum is 10%. In a random survey of 60 adults, wh

lutik1710 [3]

Answer:

$\text{Mean}=)=6\\\\\text{Standard deviation}=2.324$

Step-by-step explanation:

Given : The probability that an adult was never in a museum is : p=0.10

The number of adults randomly surveyed: n = 60

In Binomial distribution , the formula to find the mean and the standard deviation is given by :-

$\text{Mean}=np\\\\\text{Standard deviation}=\sqrt{np(1-p)}$

Then , the mean and standard deviation of the number that were never in a museum will be :-

$\text{Mean}=60(0.10)=6\\\\\text{Standard deviation}=\sqrt{60(0.10)(1-0.1)}=2.3237900077\approx2.324$

5 0

2 years ago

A computer program contains one error. In order to find the error, we split the program into 6 blocks and test two of them, sele

Aleksandr-060686 [28]

There are $\dbinom62$ ways of selecting two of the six blocks at random. The probability that one of them contains an error is

$\dfrac{\dbinom11\dbinom51}{\dbinom62}=\dfrac5{15}=\dfrac13$

So $X$ has probability mass function

$f_X(x)=\begin{cases}\dfrac13&\text{for }x=1\\\\\dfrac23&\text{for }x=0\end{cases}$

These are the only two cases since there is only one error known to exist in the code; any two blocks of code chosen at random must either contain the error or not.

The expected value of finding an error is then

$\displaystyle\sum_{x=0}^1xf_X(x)=0\times\dfrac23+1\times\dfrac13=\dfrac13$

7 0

2 years ago