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3 years ago

Find the coordinates of the orthocenter of triangle ABC with vertices A (2, 0), B (2, 4), and C (6, 0).

Mathematics

1 answer:

ss7ja [257]3 years ago

8 0

9514 1404 393

Answer:

(2, 0)

Step-by-step explanation:

The orthocenter of a right triangle is the vertex where the right angle is located. Here, that is vertex A.

The orthocenter is (2, 0).

The orthocenter is the point where the altitudes intersect.

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The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 a

Ugo [173]

The question is incomplete. I am writing the complete question below:

The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 as a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent.

Positive Result Negative Result

Cancer Present 0.21 0.79

Cancer Absent 0.06 0.94

In a large study of prostate cancer screening, it was found that about 6.6% of the population has prostate cancer.

What is the probability that the test is positive for a randomly chosen person from this population? (Enter your answer to five decimal places.)

P(Positive test) =

Answer:

P(Positive Result) = 0.0699

Step-by-step explanation:

We are given that 6.6% of the population has prostate cancer. So,

P(Cancer Present) = 0.066

P(Cancer Absent) = 1 - 0.066 = 0.934

From the given conditional probability table, we have:

P(Positive Result | Cancer Present) = 0.21

P(Positive Result | Cancer Absent) = 0.06

We need to find the probability that the result is positive. It can be either that the result is positive and cancer is present or the result is positive and the cancer is absent. So,

P(Positive Result) = P(Positive Result∩Cancer Present) + P(Positive Result∩Cancer Absent)

= P(Positive Result | Cancer Present)*P(Cancer Present) + P(Positive Result | Cancer Absent)*P(Cancer Absent)

= (0.21)*(0.066) + (0.06)*(0.934)

= 0.01386 + 0.05604

P(Positive Result) = 0.0699

5 0

4 years ago

Plz help me w/these three problems reasonably easy sixth grade math thank you!!!!!

ss7ja [257]

This is simple!
To begin with, arrange all the numbers in order.
#1
5, 5, 20, 20, 25, 30, 35
Mean: add all the numbers together and divide it by how many numbers are there
5+5+20+20+25+30+35=140
there are 7 numbers
Mean: $\frac{140}{7}$ = 20
Median: The middle number, if the set of numbers have an odd number, then the one in between is the median, if there it is an even number, then the mean of the two in-between numbers is the median.
Median: 20
Mode: The most repeated numbers
Mode: 5 and 20
Range: Highest number - lowest number
Range: 35 - 5
30
#2
Order: 44, 48, 48, 49, 59, 61, 63, 68
Mean: 440 (sum of all numbers)
there are 8 numbers in total
$\frac{440}{8}$ = 55
Median: there are 8 numbers so, the mean of the in-between numbers will be the median
49+59=108
2 numbers
$\frac{108}{2}$ = 54
Mode: 48
Range = 68 - 44 = 24

8 0

3 years ago

On a game board spinner, Taylor won a prize on 6 out of 11 spins. What is the probability that she will win a prize on the next

Reptile [31]

Answer:

D. 6/11

Step-by-step explanation:

Please see the attached file for explanation

3 0

3 years ago

Calculate the slope of a line between the points (-5,-3) and (1,6)

KIM [24]

(6--3)/(1--5)=9/6=3/2=1.5

6 0

3 years ago

Read 2 more answers

Jeffrey and Frank walk at different speeds.Frank’s walking speed can be represented by the equation y=85x, where is the time in

kolezko [41]

Answer:

Option (C)

Option (A)

Step-by-step explanation:

Part A.

Frank's walking speed can be represented by the equation.

Equation representing the speed is,

y = 85x

$\frac{y}{x}=85$

Therefore, walking speed of Frank = 85 meters per minute.

Option (C) will be the answer.

Part B.

Distance walked over the time by Jeffrey is given by the graph attached.

Equation for the speed will be,

y = $(\frac{400}{5})x$

y = 80x

Therefore, walking speed of Jeffrey = 80 meters per minute

Difference in the speed of Frank and Jeffrey = 85 - 80 = 5 meters per minute.

Jeffery walks 5 meters per minute slower than Frank.

Option (C) will be the answer.

Part (C)

Distance traveled by Frank in 16 minutes,

y = 85(16) = 1360 meters

Time taken to travel the same distance by Jeffrey will be,

1360 = 80x

x = $\frac{1360}{80}=17$ meters per minute

Option (A) will be the answer.

8 0

3 years ago