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2 years ago

Maths- please help me with this Q

Mathematics

2 answers:

Reika [66]2 years ago

5 0

Step-by-step explanation:

please mark me as brainlest

rjkz [21]2 years ago

5 0

Answer:

See below ↓

Step-by-step explanation:

Missing values (a)

$\left[\begin{array}{ccc}-1&1\\?&?\end{array}\right]$
Substituting x = 1 and x = -1 respectively in the equation y = x² - 4x
$\left[\begin{array}{ccc}-1&1\\5&-3\end{array}\right]$

Curve which matches the equation

On solving y = x² - 4x = x(x - 4) ⇒ x = 0, 4
It intersects the x axis at 0 and 4
The blue curve is the right one

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As discussed in Exercise 6.10, the General Social Survey reported a sample where about 61% of US residents thought marijuana sho

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Answer: 2285

Step-by-step explanation:

Formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_c}{E})^2$

, where p = prior estimate of population proportion.

E= Margin of error.

$z_c$ = z-value for confidence interval of c.

Given : Confidence interval : 95%

From the z-value table , the z-value for 95% confidence interval = $z_c=1.96$

The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.

i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61

[∵ sample proportion is the best estimate for population proportion.]

Margin of error : E= 2%=0.02

Now, the required minimum sample size would be :-

$n=0.61(1-0.61)(\dfrac{1.96}{0.02})^2$

Simplify ,

$n=0.2379\times9604=2284.7916\approx2285$

Thus , we need to survey 2285 Americans .

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3 years ago

For what value of x do the functions f(x)=−52x+4 and g(x)=−12x−4 have the same output?

lys-0071 [83]

F(x) = -52x + 4

g(x) = -12x - 4

To find the solution of the system of equation, we have to just equate the equation to each other.

f(x) = g(x)

-52x + 4 = -12x - 4

-52x + 12x = - 4 - 4

-40x = -8

x = $\frac{-8}{-40} = \frac{8}{40} =\frac{1}{5}$

x = 0.2

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