What is the value of y?

The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph?

Zigmanuir [339]

Answer:

y = -f(x - 5)

Step-by-step explanation:

the function of the dotted graph is f(x) shifted (or translated) 5 units to the right and then reflected across the x-axis.

shifting it to the right is happening by reducing every x value by 5 (so that we get for x the functional value of x-5).

and reflecting it across the x-axis simply means to flip the sign. everything that was originally above the x-axis is now with the same distance below the x-axis (and vice versa).

therefore, the new

y = -f(x - 5)

5 0

2 years ago

A research center poll showed that 85% of people believe that it is morally wrong to not report all income on tax returns. What

vladimir2022 [97]

The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

For given question,

A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.

so, the probability that someone have this belief is P = 0.85

We know that in probability,

p = 1 - q

where;

p is probability of success

q is probability of failure.

Thus the probability that someone does not have this belief would be,

= 1 - P

= 1 - 0.85

= 0.15

Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

Learn more about the probability here:

brainly.com/question/3679442

#SPJ4

8 0

2 years ago

A radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the dri

vekshin1

Answer:

The margin of error for a 90% confidence interval is 0.075.

Step-by-step explanation:

We are given that he asks listeners to phone in and vote "yes" if they agree the drinking age should be lowered and "no" if not.

Of the 100 people who phoned in, 70 answered "yes."

Let $\hat p$ = sample proportion of people who say yes

So, $\hat p=\frac{X}{n}$ = $\frac{70}{100}$ = 0.70

where, X = Number of people who say yes = 70

n = Number of people phoned in = 100

Now, Margin of error formula for any confidence interval is given by;

Margin of error = $Z_(_\frac{\alpha}{2}_ ) \times \text{Standard of Error}$

where, $\alpha$ = level of significance = 10%

Standard of error = $\sqrt{\frac{\hat p(1-\hat p)}{n} }$

Also, the critical value of x at 5% ( $\frac{\alpha}{2} =\frac{0.10}{2}$ ) level of significance is 1.645.

SO, Margin of Error = $1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$

= $1.645 \times \sqrt{\frac{0.70(1-0.70)}{100} }$

= 0.075

Hence, the margin of error for a 90% confidence interval is 0.075.

8 0

3 years ago

Which diagram shows 1 and 2 as vertical angles

nalin [4]

There’s no photo attached

5 0

3 years ago

What is the equation of the line that passes through the point (-8,0)and has a slope of -1/4

Dahasolnce [82]

Answer:

y = -1/4x - 2

Step-by-step explanation:

I'm going to write this equation in slope intercept form, which looks like this: y = mx + b. First, write the equation using the slope given. It should look like this:

y = -1/4x + b

Next, you must find the y intercept by plugging in the point to the equation. This is what it looks like: 0 = -1/4(-8) + b. Multiply -1/4 by -8 to get 2. This is what your equation should look like now: 0 = 2 + b. Subtract 2 from both sides of the equation to get -2 = b. Go back to your original equation and plug -2 in for b. This is your final equation:

y = -1/4x - 2

Hope this helped!

8 0

3 years ago