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3 years ago

What is the reflection image of U across the y-axis?

Mathematics

2 answers:

IgorLugansk [536]3 years ago

3 0

Reflection of point U across y-axis = (1, -5)

why . . .

reflection across y-axis means to take the negative of the x-value, and since point U has coordinates (-1, -5), the negative of -1 is 1, then the reflected coordinate must be (1, -5)

vaieri [72.5K]3 years ago

3 0

Answer:

B. $(1,-5)$

Step-by-step explanation:

We have been coordinates of some points on coordinate plane. We are asked to find the reflection image of U across the y-axis.

We know that after reflecting a point across y-axis, the y-coordinate of point remains same, while x-coordinate changes to its opposite sign.

We can see that coordinates of point U are $(-1,-5)$ . After the reflection across y-axis the y-coordinate will remain same that is $-5$ , while x-coordinate will be opposite of $-1$ that is $-(-1)=1$

Therefore, the coordinates of point U after reflection across y-axis would be $(1,-5)$ and option B is the correct choice.

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In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

First we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

Next we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

5 0

3 years ago

Let f(x)=2x+2. Solve f^-1(x) when x=4

Gre4nikov [31]

F⁻¹(x) stands for the invers of function f(x). The inverse of f(x) is equal to x. We need to solve for x.

solve for x
f(x) = 2x + 2
2x + 2 = f(x)
2x = f(x) - 2
x = $\dfrac{f(x)-2}{2}$
f⁻¹(x) = $\dfrac{x-2}{2}$

Determine the value of f⁻¹(x) when x = 4
f⁻¹(x) = $\dfrac{x-2}{2}$
f⁻¹(4) = $\dfrac{4-2}{2}$
f⁻¹(4) = $\dfrac{2}{2}$
f⁻¹(4) = 1
When x = 4, the value of f⁻¹(x) is equal to 1

4 0

3 years ago

62,400 is what percentage of 156,000

STatiana [176]

62400 is what percent of 156000
= 62400 / 156000 
= 0.4 

Converting decimal to a percentage: 
0.4 * 100 = 40%

5 0

4 years ago

Read 2 more answers

There are 178 more bikers than hikers if there are 676 people in the park total how many people are hikers?

Verizon [17]

Answer:

The total number of hikers are 427

Step-by-step explanation:

Let:

The number of bikers = x

The number of hikers = y

There are 178 more bikers than hikers

y = x + 178

if there are 676 people in the park total how many people are hikers?

Hence:

x + y = 676

we substitute x + 178 for y

x + x + 178 = 676

2x + 178 = 676

2x = 676 - 178

2x = 498

x = 498/2

x = 249

y =x + 178

y = 249 + 178

y = 427

Therefore:

The number of bikers = x = 249

The number of hikers = y = 427

The total number of hikers are 427

3 0

3 years ago

Use the least commom denominator of 10 and 15 to solve 2/10+ 7/15

Juli2301 [7.4K]

The least common denominator of 10 and 15 is 30. It's easiest to use trial and error to find the LCD. In this case, just multiply both numbers by 2 and see if that works. Since 15 doesn't go into 20, I tried multiplying 15 by 2 instead, and got 30, which is divisible by 2. If that doesn't work, move on to multiplying them by 3, then 4 four, and so on. However, in this case, it did work, so, since you multiplied 15 by two to get 30, multiply 7 by two to get the fraction 14/30. Then, since you multiplied 10 by 3 to get 30, multiply 2 by 3 to get 6/30. Then, add the two together to get 20/30 and simplify the fraction to 2/3.

2/10 + 7/15 Given.
6/30 + 14/30 LCD.
20/30 Add.
2/3 Simplify.

6 0

3 years ago