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Alex17521 [72]
3 years ago
7

36.  

Mathematics
1 answer:
Burka [1]3 years ago
5 0
Area 1st rectangle = 10 * 7 = 70 cm^2
length of 2nd rectangle is 2*7 = 14 cm

Area 2nd = 10 * 14 = 140 cm^2

140/70 = 2

The 2nd triangle was twice as big as the 1st.  Answer A
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Point P' is the image of P(3,5) under a reflection across the y-axis.
Kryger [21]

Answer:

(-3,5)

Step-by-step explanation:

In reflections the x axis is the opposite only

8 0
3 years ago
Math graph and solution y=3x2+18x-21
Likurg_2 [28]
We have that

<span>y=3x</span>²<span>+18x-21

using a graph tool
see the attached figure

the solutions are
x=-7
x=1</span>

6 0
3 years ago
Use the discriminant of the following quadratic equation to state the number and type of solutions. 3x^(2)+4x-5=3x+2
krek1111 [17]
3x^(2)+4x-3x-5-2=0
3x^(2)+x-7=0
Discriminat= b^(2)-4ac= 1^(2)-4(3)(-7)= 1-12(-7)=1+84=85
The discrimination is bigger than 0 (delta>0) therefore there are 2 real solutions
4 0
3 years ago
The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out
Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a certain hockey team will win any given game is 0.3723

So p = 0.3723

12 games in November

So n = 12

What is the probability that the hockey team wins 6 games in November?

This is P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{12,6}.(0.3723)^{6}.(1-0.3723)^{6} = 0.1505

0.1505 = 15.05% probability that the hockey team wins 6 games in November

4 0
3 years ago
What is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6
Bogdan [553]

\dfrac{DI}{DR}=\dfrac{DE}{DZ}\\\\\dfrac{DI}{6+2.8}=\dfrac{3}{6}\\\\6DI=26,4\\DI=4,4

4 0
3 years ago
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