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2 years ago

The chart shows the results of 20 spins that Kristie made with a spinner.

Mathematics

1 answer:

RoseWind [281]2 years ago

4 0

Answer:

3 / 10

Step-by-step explanation:

The required outcome = mexico ; number of spins = 6 spins

Total possible outcomes = sum. Of all spins = (6 + 4 + 5 + 5) = 20

P(Mexico on next spin) = required outcome / Total possible outcomes

P(Mexico on next spin) = 6 / 20 = 3 / 10

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How do i divide and multiply rational expressions?

notka56 [123]

Answer:

To multiply rational expressions, first factor all numerators and denominators and cancel any factors you can. Then multiply what you have left.

Step-by-step explanation:

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3 years ago

A media poll of 500 air travelers surveyed in national airports found that 370 favor tighter security procedures in boarding pla

serg [7]

Answer:

92% Confidence interval: (0.7078,0.7722)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 500

Number of travelers who favor tight security, x = 370

$\hat{p} = \dfrac{x}{n} = \dfrac{370}{500} = 0.74$

92% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.08} = \pm 1.645$

Putting the values, we get:

$0.74\pm 1.645(\sqrt{\dfrac{0.74(1-0.74)}{500}}) = 0.74\pm 0.0322\\\\=(0.7078,0.7722)$

3 0

3 years ago

What is the domain of the set of ordered pairs {(−5,−4),(−4,4),(2,3),(4,5)}?

kvv77 [185]

Answer:

{-5,-4,2,4}

Step-by-step explanation:

the domain is which x-values are included so use each of the x-values for each pair. Make sure if there are reapeats that you only write them once.

3 0

2 years ago

What is the quadratic function f(x)=x^2+6x-2 In vertex form?

Yuliya22 [10]

Answer: Option D

$f(x)=(x+3)^2 -k$

Step-by-step explanation:

For a quadratic function of the form

$ax ^ 2 + bx + c$

The x coordinate of the vertice is:

$x =-\frac{b}{2a}$

In this case the function is:

$f(x)=x^2+6x-2\\\\$

$a=1\\b=6\\c=-2$

The x coordinate of the vertice is:

$x=-\frac{6}{2*1}\\\\x=-3$

The y coordinate of the vertice is:

$f(-3) = (-3)^2 +6(-3) -2\\\\f(-3)=-11$

The vertice is: (-3, -11)

The form e vertice for a quadratic equation is:

$f(x)=(x-h)^2 +k$

Where

the x coordinate of the vertice is h and the y coordinate of the vertice is k.

Then h=-3 and k =-11

Finally the equation $f(x)=x^2+6x-2\\\\$ in vertex form is:

$f(x)=(x+3)^2 -k$

6 0

3 years ago

Read 2 more answers

Factorize (144z2y2 – 225a2b2).

bearhunter [10]

Answer:

sorry dont know

Step-by-step explanation:

6 0

2 years ago