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MArishka [77]
2 years ago
6

A bit hard. thank you if u can do it for me? <3

Mathematics
1 answer:
Lostsunrise [7]2 years ago
5 0

The triangle shown is a right triangle shown by the little square inside of it.

Area of a triangle is 1/2 x height x base

Rotating the shown triangle so the square is at a bottom corner the height is 6 and the base is 6

Area = 1/2 x 6 x 6 = 18 square cm

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A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
-Dominant- [34]

Answer: 0.0031

Step-by-step explanation:

Binomial distribution formula :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of x successes in the n independent trials of the experiment and p is the probability of success.

Given : A binomial probability experiment is conducted with the given parameters.

n=9,\ p=0.8,\ x\leq3

Now, P(x\leq3)=P(3)+P(2)+P(1)+P(0)

=^9C_3(0.8)^3(1-0.8)^{9-3}+^9C_2(0.8)^2(1-0.8)^{9-2}+^9C_1(0.8)^1(1-0.8)^{9-1}+^9C_0(0.8)^0(1-0.8)^9\\\\=\dfrac{9!}{3!6!}(0.8)^3(0.2)^6+\dfrac{9!}{2!7!}(0.8)^2(0.2)^7+\dfrac{9!}{1!8!}(0.8)(0.2)^8+\dfrac{9!}{0!9!}(0.2)^9=0.003066368\approx0.0031

Hence,  P(x\leq3)=0.0031

8 0
3 years ago
Triangles ABD and ACE are similar right triangles. which ratio best explains why the slope of AB is the same as the slope of AC
sertanlavr [38]
B. AC/EA = AB/DA because theyre equal slopes just different sizes
4 0
3 years ago
Read 2 more answers
3
Anastaziya [24]

Answer:

2329 are girls out of 37 boys in school in 2366 total

8 0
3 years ago
Which statements about the local maximums and minimums for the given function are true? Choose three options.
Nostrana [21]

Answer:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Step-by-step explanation:

The true statements are:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.  

Lets discuss each option one by one:

Over the interval [1, 3], the local minimum is 0

This is a false statement. Look at the graph. The minimum point given is (3.4,-8). Therefore the local minimum is -8 not 0

Over the interval [2, 4], the local minimum is –8.

This statement is true because the given minimum point is(3.4, -8). Thus the  local minimum is -8 which is true

Over the interval [3, 5], the local minimum is –8.

According to the given minimum point, the local minimum  is -8 which is true

Over the interval [1, 4], the local maximum is 0.

Look at the graph. The maximum point given is (2,0). Thus this statement is true because local maximum is 0.

Over the interval [3, 5], the local maximum is 0.

This is a false statement because there is no maximum point

8 0
3 years ago
Read 2 more answers
Melissa's employer matches retirement funds 1:2 up to 6% of salary. She makes $55,000 per year. How much should she contribute t
gtnhenbr [62]

Answer: $1100

Step-by-step explanation:

The employer contributes, along with Melissa, in the ratio of 1:2

Up to 6% of $55000, therefore 6/100 x 55000 = 3300

Split in the ratio of 1:2, she will contribute 1/3 of 3300 = 1100

and the employer will contribute 2/3 of 3300 = 2200

3 0
3 years ago
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