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lozanna [386]
4 years ago
6

Can someone find the factored form? The first bracket and the second bracket. Thank you.

Mathematics
1 answer:
eimsori [14]4 years ago
7 0

Answer:

(x-6) and (x+4)

Step-by-step explanation:

x^2 - 2x - 24

Factors of x^2 are x and x

                 24 are 6 and 4; 12 and 2; 24 and 1; and 8 and 3

Since the middle term is -2 and the 24 is a negative, the factors would have to result in a sum of -2

-6 +4 = -2

so the answer is (x-6)(x+4)

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A survey of an urban university showed that 750 of 1,100 students sampled attended a home football game during the season. Using
sattari [20]

Answer:

b. 0.6592 and 0.7044

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

A survey of an urban university showed that 750 of 1,100 students sampled attended a home football game during the season. This means that n = 1100, p = \frac{750}{1100} = 0.6818

90% confidence interval

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6818 - 1.645\sqrt{\frac{0.6818*0.3182}{1100}} = 0.6592

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6818 + 1.645\sqrt{\frac{0.6818*0.3182}{1100}} = 0.7044

So the correct answer is:

b. 0.6592 and 0.7044

7 0
3 years ago
Read 2 more answers
Vertex (0,1) x intercepts is - 1 and 1 what is the equation of the parabola?
MrRa [10]
\bf y=a(x-{{ h}})^2+{{ k}}\\
x=a(y-{{ k}})^2+{{ h}}\qquad\qquad  vertex\ ({{ h}},{{ k}})

those are the vertex form of a parabola... so hmmm
the vertex of this one is at 0,1 and intercepts or "solutions" are at -1 and 1, so is opening downwards, notice the picture below

that means, the squared variable is the "x", thus the form is \bf y=a(x-{{ h}})^2+{{ k}}

now, we know the vertex is at 0,1, and two x-intercepts of \pm 1,0

thus      \bf y=a(x-{{ h}})^2+{{ k}}\qquad 
\begin{cases}
h=0\\
k=1\\
when
\\
x=\pm 1\\
y=0
\end{cases}
\\\\\\
\textit{so.. hmmm let us use the point ... say hmmm 1,0}
\\\\
y=a(x-{{ h}})^2+{{ k}}\implies 0=a(1-0)^2+1

solve for "a", to see what that coefficient is, then plug it back in the vertex form equation

6 0
3 years ago
A box contains 35 coins either nickels or dimes all worth $2.90. How many dimes are in the box?
tino4ka555 [31]

Answer:

There are 23 dimes in the box

Step-by-step explanation:

Let nickels=n

Let dimes=(35-n)

Equation: 0.05n+0.10(35-n)=2.90

Multiply both sides by 100: 5n+10(35-n)=290

-5n+350=290

-5n=-60

n=12

35-12=23

Therefore, there are 23 dimes in the box

3 0
3 years ago
if each exterior angle on a regular polygon has a measure of 12 degrees how many sides will the polygon have
DedPeter [7]

Answer:

It will have 30 sides

8 0
3 years ago
Which plane represents the bottom of the rectangular prism above?
tiny-mole [99]
This can be easily figured out. Check to see what points are on the bottom and that is your answer.

B
6 0
3 years ago
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