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RSB [31]
2 years ago
15

98 POINTS AVAILABLE

Mathematics
2 answers:
Elis [28]2 years ago
7 0

1st question:

The formula for area of a triangle given 3 side lengths is A = √(s(s-a)(s-b)(s-c))

where s = (a+b+c)/2

s = (50 + 45 + 25) /2 =  120/2 = 60

Area = √(60(60-50)(60-45)(60-25)

Area = √(60*10*15*35)

Area = √315000

Area = 561.25

Rounded to nearest whole number = 561 square meters.

2nd question:

b. Increasing the number of trapezoids increases the accuracy of the area calculation

c. The area of all the trapezoids can be added together to find the area under the curve.

Helga [31]2 years ago
4 0

Answer:

how do i exit

Step-by-step explanation:

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Math question plz help me
Minchanka [31]

Answer:

The required equation of the line is:

y=\frac{1}{4}x-1

Step-by-step explanation:

Given the equation

y=-4x+3

comparing the equation with the slope-intercept form

y=mx+b

Here,

  • m is the slope
  • y is the intercept

so the slope of the line is  -4.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 1/4

Therefore, the point-slope form of the equation of the perpendicular line that also intersects the point (8, 1) is:

y-y_1=m\left(x-x_1\right)

y-1=\frac{1}{4}\left(x-8\right)

add 1 to both sides

y-1+1=\frac{1}{4}\left(x-8\right)+1

y=\frac{1}{4}x-1

8 0
3 years ago
How do Helen's feelings about breaking the doll change after she realizes that
Delvig [45]

Answer:

The answer is A

Explanation:

At first she is very happy holding the broken pieces of the doll but after learning it has a specific name she feels sorrow and regret

8 0
2 years ago
Question 7 of 10
andriy [413]

Answer:

C. n = 90; p = 0.8

Step-by-step explanation:

According to the Central Limit Theorem, the distribution of the sample means will be approximately normally distributed when the sample size, 'n', is equal to or larger than 30, and the shape of sample distribution of sample proportions with a population proportion, 'p' is normal IF n·p ≥ 10 and n·(1 - p) ≥ 10

Analyzing  the given options, we have;

A. n = 45, p = 0.8

∴ n·p = 45 × 0.8 = 36 > 10

n·(1 - p) = 45 × (1 - 0.8) = 9 < 10

Given that for n = 45, p = 0.8, n·(1 - p) = 9 < 10, a normal distribution can not be used to approximate the sampling distribution

B. n = 90, p = 0.9

∴ n·p = 90 × 0.9 = 81 > 10

n·(1 - p) = 90 × (1 - 0.9) = 9 < 10

Given that for n = 90, p = 0.9, n·(1 - p) = 9  < 10, a normal distribution can not be used to approximate the sampling distribution

C. n = 90, p = 0.8

∴ n·p = 90 × 0.8 = 72 > 10

n·(1 - p) = 90 × (1 - 0.8) = 18 > 10

Given that for n = 90, p = 0.9, n·(1 - p) = 18 > 10, a normal distribution can be used to approximate the sampling distribution

D. n = 45, p = 0.9

∴ n·p = 45 × 0.9 = 40.5 > 10

n·(1 - p) = 45 × (1 - 0.9) = 4.5 < 10

Given that for n = 45, p = 0.9, n·(1 - p) = 4.5 < 10, a normal distribution can not be used to approximate the sampling distribution

A sampling distribution Normal Curve

45 × (1 - 0.8) = 9

90 × (1 - 0.9) = 9

90 × (1 - 0.8) = 18

45 × (1 - 0.9) = 4.5

Now we will investigate the shape of the sampling distribution of sample means. When we were discussing the sampling distribution of sample proportions, we said that this distribution is approximately normal if np ≥ 10 and n(1 – p) ≥ 10. In other words

Therefore;

A normal curve can be used to approximate the sampling distribution of only option C. n = 90; p = 0.8

3 0
2 years ago
Can anyone help me pls on this worksheet?
Natali [406]

Answer:

c, b, c, a, b, c, c, a, b, a, b, d, c, d, d, b, c, a, d, b. i hope this will be all correct.

5 0
2 years ago
I need help for this question
lyudmila [28]
Number8)4n+6-2n=2(n+3) 
4n+6-2n=2n+6 then collect the like terms
(4n-2n-2n=0)
0n=0

2(3b-4)=4b-11
6b-8=4b-11 collect the like terms
(6b-4b=2b)(-11+8=-3)

answer
2b=-3 then divide both sides by 2
b=-1.5
3 0
3 years ago
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