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3 years ago

Write x2 - 8x - 3 in vertex form.

1 answer:

6 0

Vertex form:

y = a(x - h)² + k

I have not learned this stuff yet, but by using online calculators, I can determine that the vertex form is:

Y = (x - 4)² - 19

I believe so :/

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A recent study reported that 73% of Americans could only converse in one language. A random sample of 130 Americans was randomly

castortr0y [4]

Answer:

Probability that 100 or fewer of these Americans could only converse in one language is 0.8599.

Step-by-step explanation:

We are given that a recent study reported that 73% of Americans could only converse in one language.

A random sample of 130 Americans was randomly selected.

Let $\hat p$ = sample proportion of Americans who could only converse in one language.

The z score probability distribution for sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion of Americans who could only converse in one language = 73%

$\hat p$ = sample proportion = $\frac{100}{130}$ = 0.77

n = sample of Americans = 130

Now, probability that 100 or fewer of these Americans could only converse in one language is given by = P( $\hat p$ $\leq$ 0.77)

P( $\hat p$ $\leq$ 0.77) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.77-0.73}{\sqrt{\frac{0.77(1-0.77)}{130} } }$ ) = P(Z $\leq$ 1.08) = 0.8599

The above probability is calculated by looking at the value of x = 1.08 in the z table which has an area of 0.8599.

8 0

3 years ago

Carolyn usually only misses about 10% of her free throws. If she misses fewer than 2 of her next 4 free throws, then she will ho

enot [183]

The answer is 94%. This is a confirmed answer, I took the quiz.

Hope this helps :)

4 0

3 years ago

Find the point on the line y = 3x + 2 that is closest to the origin.

anzhelika [568]

1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.

2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:

$3*m=-1$

so $m= \frac{-1}{3}$

3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.

moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2

4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x

5.
to find this point:

3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2

x*10/3=-2

$x= \frac{-2*3}{10} = \frac{-6}{10}=-0.6$

thus y is : (-1/3)(-6/10)=0.2

Answer: (-0.6, 0.2)

3 0

3 years ago

Explain what Event-Driven Programs are (Use all of the following words in your description: Call-back function, on-events, algor

ASHA 777 [7]

Answer:

Step-by-step explanation:

An event driven programs are process of programming by which an algorithm is written by programming on a UI element, placing an event listener such that it handled when triggered by calling a call-back function.

E.g is a click event on a button which is a UI element. An event listener example, mouse down can placed on it, and if a user mouse down on it, it is handled by calling a call-back function which might be to open a new page on website.

4 0

3 years ago

What is the answer to 140% of 50

grigory [225]

Answer:

Step-by-step explanation:

is/of = %/100

Change your is to x so you solve for it, so x/50 = 140/100, now cross multiply and it is now 100x = 7000, divide by 100, so x or (is) is 70

3 0

3 years ago