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Fiesta28 [93]
3 years ago
15

What is 4 times 31 in distributive property

Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0

Answer:

4(30 +1)= 4(30) + 4(1)

Step-by-step explanation:

The property states a(b+c)= ab+ac.

30 and 1 equals 31, then you just plug the two numbers into the equation.

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If the length of rectangle is thrice of its breadth and it's perimeter is 32 cm then finds its area​.​
jeka57 [31]

Answer:

48 cm²

Explanation:

Let the breadth be b, then the length is 3b

P = 2(Length + Breadth)

32 = 2(3b + b)

32 = 2(4b)

8b = 32

b = 4

Breadth is 4 cm

Length: 3b = 3(4) = 12 cm

Area of rectangle:

Length × Breadth

12 × 4

48 cm²

3 0
2 years ago
Read 2 more answers
g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G
patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

\mathbf{P(positive) = P(positive \  |  \ DIPG) \times P(DIPG) + P(positive  \ | \  not \DIPG)\times P(not  \ DIPG)}= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

P(not \ DIPG \  |  \ positive) = \dfrac{ P(positive  \ | \  not DIPG)\timesP(not \  DIPG)} { P(positive)}

=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}

=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}

= 0.9586

8 0
3 years ago
7b6+12b6 if canot be simplified
kramer

Because b^6 is present in both terms, we can factor it out.

b^6(7 + 12)

Combine like terms.

b^6(19)

Rearrange.

19b^6 is the fully simplified form of the given expression.

6 0
3 years ago
ricardo has 2 cases of video games with the same number of games in each case. he give 4 games to his brothers.ricardo has 10 ga
BARSIC [14]
His brothers have 4 games
He had 10 games
So in total there are 14 games
And if there are 2 cases and each one had the same amount, then in each one there would be 14÷2=7

In each case, there are 7 games.
8 0
3 years ago
Find an equation for the tangent to the curve at the given point y=x^3 , (2,8)
Yuliya22 [10]

\bf y=x^3\implies \left. \cfrac{dy}{dx}=3x^2 \right|_{x=2}\implies \stackrel{\stackrel{m}{\downarrow }}{12} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{8})~\hspace{10em} slope = m\implies 12 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-8=12(x-2) \\\\\\ y-8=12x-24\implies y=12x-16

5 0
3 years ago
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