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2 years ago

The quadratic formula allows us to find ___

Mathematics

1 answer:

loris [4]2 years ago

3 0

Answer:

Factor.

Step-by-step explanation:

In Mathematics, the quadratic formula is used for determining the two factors (roots) of any quadratic equation.

The standard form of a quadratic equation is ax² + bx + c = 0

Mathematically, the quadratic equation is given by the formula;

$x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a}$

Hence, the quadratic formula allows us to find factor solutions to any quadratic equation.

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Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of <em>z</em> for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

4 0

3 years ago

I know I went wrong somewhere. Can someone help me solve for m please ):

docker41 [41]

If I understand correctly, you went wrong because you solved for Y instead of M, like the question dictates.

7 0

3 years ago

To get a free meal at his favorite restaurant,Tom needs to spend 50$ or more at the restaurant. He has already spent 30.25$. How

andrey2020 [161]

So for Tom to get his free meal he needs to spend 50 dollars.

This means the following⬇️

$50 - 30.25$
This equation is the 50 dollars he has to spend minus the 30.25 he has already spent which results in⬇️
$= 19.75$
This results in Tom needing to still spend 19.75 more dollars to get his free meal!!

Hope this helped!!

4 0

2 years ago

Almeida collects data on the ages of the students in her aerobics class and creates a dot plot to represent the ages.

vazorg [7]

I believe your question is incomplete.

6 0

3 years ago

Read 2 more answers

Write the equation in vertex form for the parabola with focus (7, –27/4) and directrix y= – 13/4

Nataliya [291]

Answer:

x2 +8x +4y +4 = 0

4y= -x2 -8x -4y = -.25*x^2 -2x -1

a = -.25b = -2c = -1

x position of vertex:

h = -b / 2a

h = 2 / 2*-.25h = 2 / -.5h = -4

y position of vertex:

k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3

VERTEX = (-4, 3)*

x value of focus =x value of vertex = -4

y value of focus =(1 (-b^2 -4ac)) / 4a

a = -.25 b = -2 c =-1

y value = (1 (-4 -4*-.25*-1)) / 4*-.25

y value = (1 (-4 -4*-.25*-1)) / -1

y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2

focus value = (-4, 2)

Answer is the last one.

7 0

2 years ago