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1 year ago

Figure ABCD is reflected over the x-axis to create figure PQRS. What are the coordinates of point Q?

Mathematics

1 answer:

Mekhanik [1.2K]1 year ago

4 0

Answer:

Q = (1, -5)

Step-by-step explanation:

Reflection over x-axis (x,y) → (x,-y)

B = (1,5)

Q = (1,-5)

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Data from the Centers for Medicare and Medicaid Services indicates that the annual per capita out-of-pocket expenses for health

Talja [164]

Answer:

During the year 2021.

Step-by-step explanation:

As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.

Knowing that, we clear x (this is the number of years past the year 2000, so it will contain our desired information).

$y=39.6x+543\Leftrightarrow x=\frac{y-543}{39.6}$

Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and this total is our variable y, then

$x=\frac{1400-543}{39.6}\approx 21.6$

Finally, we know that x is the number of years past the year 2000, so the answer is that during the year 2021, the per capita out-of-pocket expenses for health care are predicted to be $1400.

3 0

2 years ago

WHATS THE FRACTION FOR 6 DOLLARS AND 14 CENTS

Jet001 [13]

Answer:

$6\frac{14}{100}$

Step-by-step explanation:

First, you make fourteen a fraction.

$\frac{14}{100}$

Then, make it a mixed fraction by adding a six.

$6\frac{14}{100}$

Lastly, have a great day! :)

3 0

2 years ago

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

Viefleur [7K]

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

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 level of $1-\alpha$ , 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:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

$n = 1537, \pi = \frac{353}{1537} = 0.2297$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507$

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

7 0

2 years ago

Suzanne bought 50 apples at the apple orchard. She bought 4 times as many red apples as green apples. How many more red apples t

Natali [406]

Let x = the number of green apples, let 4x = the number of red apples
4x + x = 50 Set up the quation
5x = 50 Combine like terms
---- ---- Divide by 5 on both sides to get x alone
5 5
x = 10 green apples
4x = 4(10) = 40 red apples

40 - 10 = 30. Suzanne bought 30 more red apples than green apples.

3 0

2 years ago

Can someone please explain to me how to find the value of m? thanks -10 = -10 + 7m

GarryVolchara [31]

      -10 = -10 + 7m

Add 10 to each side: 0 = 7m

Divide each side by 7 : 0 = m

Please take a second and just LOOK at the equation you started with.
It says:

-- You have this number '-10' .

-- Your number -10 is going to be exactly the same size
   after you add 7 of something to it.

The ONLY way that could happen is if the 'something' is 'nothing' .

   ' m ' must be nothing.

8 0

3 years ago

Read 2 more answers

Figure ABCD is reflected over the x-axis to create figure PQRS. What are the coordinates of point Q?​

Figure ABCD is reflected over the x-axis to create figure PQRS. What are the coordinates of point Q?