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faltersainse [42]
2 years ago
8

Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x

squared minus 24 x
Mathematics
1 answer:
amm18122 years ago
4 0

Answer:

Answer: 4(x+1) over (x-5)

Step-by-step explanation:

You might be interested in
Most soybeans grown in the United States are genetically modified to, for example, resist pests and so reduce use of pesticides.
garri49 [273]

Answer:

Interval [0.67;0.95]

Step-by-step explanation:

Hello!

You need to estimate the population proportion of grain-handling facilities that detect GM beans in shipments with a confidence interval.

The formula you have to use is:

^ρ±Z_{1-\alpha/2} * √(^ρ*(1-^ρ)/n)

where ^ρ represents the sample proportion

^ρ= x/n = 17/21 = 0.809 ≅ 0.81

Confidence level 90%

Z_{1-0.0.05} = Z_{0.95} = 1.64

Interval

0.81±1.64 * √((0.81*0.19)/21)

0.81±0.140

[0.67;0.95]

With a confidence level of 90% you'd expect that the interval [0.67;0.95] contains the population proportion of grain-handling facilities that detect GM beans in shipments.

Remember:

The confidence level of an interval is the probability under which it is built. This probability indicates that if they build 100 confidence intervals, we expect 90 to contain the value of the population mean we are trying to estimate.

The bigger the confidence level, the bigger is the chance that it contains the estimated parameter, but then again, if you were to study the whole population there is no chance you'll miss the parameter.

The smaller the confidence level, there are fewer chances that it will contain the estimated parameter, but if it does, the estimation would be more accurate than with a bigger level.

You can think it like this, a shooter that hits the target at a distance of 5 meters (low confidence level) is way better than a shooter that hits the target at a distance from 20 cm (high confidence level)

90% Confidence level is acceptable enough to have an accurate estimation of the population parameter.

I hope it helps!

8 0
3 years ago
Car is moving on a circle on a plane. At time t (seconds), its x-coordinate is given by x(t) = 10 sin(200t + 3) + 30 while its y
Aleks [24]

Answer:

we have centre of circle as (30,40) and radius = 1

Step-by-step explanation:

Given that a car is moving on a circle on a plane.

At time t (seconds),

x(t) = 10 sin(200t + 3) + 30

and

y(t) = 10 cos(200t + 3) + 40

x-30 = 10 sin(200t + 3) \\y-40 = 10 cos(200t + 3) + 40

when we square and add both the equations we get

(x-30)^2 + (y-40)^2 = 1

(since sin square + cos square = 1 always)

i.e. we have centre of circle as (30,40) and radius = 1

3 0
3 years ago
The vertex of this parabola is at 2, -1 When the y-value is 0 the x value is 5 what is the coefficient of the squared term in th
Olegator [25]

Answer:

\large \boxed{\sf \frac{1}{9}}

Step-by-step explanation:

\sf y=a(x-h)^2+k

\sf Vertex = (h,k)

y-value is 0 and the x value is 5

h = 2

k = -1

\sf 0=a(5-2)^2+-1

Solve for \sf a (the coefficient of the squared term).

\sf 0=a(3)^2+-1

\sf 0=9a-1

\sf 9a=1

\displaystyle \sf a=\frac{1}{9}

The coefficient of the squared term in the parabola equation is 1/9.

8 0
2 years ago
Read 2 more answers
Please answer if you can.
Mumz [18]

Answer:

25+24= 49coins 49÷2.5 is 19.5 so there are 19.5 dimes in the bag I believe

7 0
3 years ago
If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?
andre [41]

Answer:

f(g(x)) = 2(x^2 + 2x)^2

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Step-by-step explanation:

Given;

f(x) = 2x^2

g(x) = x^2 + 2x

To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).

f(g(x)) = 2(g(x))^2

f(g(x)) = 2(x^2 + 2x)^2

Expanding the equation;

f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)

f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)

f(g(x)) = 2(x^4 + 4x^3 + 4x^2)

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Hope this helps...

7 0
3 years ago
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