In a math class with 26 students a test was given the same day that an assignment was due. There were 17 students who passed the test and 18 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student who failed the test completed the homework?

Answer:

x is 40° because it's same side interior angle

y is 140° because it's a corresponding angle with the 140° angle

z is 40° because it's a corresponding angle with x

Answer:

X=40, Y=140, Z=40 because total sum is 360

Answer:

One of the basic tenets of statistics that every student learns in about the second week of intro stats is that in a skewed distribution, the mean is closer to the tail in a skewed distribution. So in a right skewed distribution (the tail points right on the number line), the mean is higher than the median.

Step-by-step explanation:

The distribution is said to be right-skewed. In such a distribution, usually (but not always) the mean is greater than the median, or equivalently, the mean is greater than the mode; in which case the skewness is greater than zero.

Answer:

0.8974 = 89.74% probability that the person actually has the disease.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test.

Event B: Has the disease.

Probability of a positive test:

0.7 of 0.2(has the disease).

0.02 of 100 - 20 = 80%(does not have the disease). Thus:

[tex]P(A) = 0.7*0.2 + 0.02*0.8 = 0.156[/tex]

Probability of a positive test and having the disease:

0.7 of 0.2. So

[tex]P(A \cap B) = 0.7*0.2 = 0.14[/tex]

What is the probability that the person actually has the disease?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.14}{0.156} = 0.8974[/tex]

0.8974 = 89.74% probability that the person actually has the disease.

Answer:

-12

Step-by-step explanation:

f (x)=6x – 6

Let x= -1

f(-1) = 6(-1) -6

      = -6-6

     = -12

Answer:

its the second one hope this helps

Step-by-step explanation:

Answer:

d) 0.383

Step-by-step explanation:

For each sample, there are only two possible outcomes. Either they contain the pollutant, or they do not. The probability of a sample containing the pollutant is independent of any other sample. Thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

30% chance of containing a particular organic pollutant.

This means that [tex]p = 0.3[/tex]

Next 10 samples

This means that [tex]n = 10[/tex]

Probability that two or less contain the pollutant.

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.3)^{0}.(0.7)^{10} = 0.028[/tex]

[tex]P(X = 1) = C_{10,1}.(0.3)^{1}.(0.7)^{9} = 0.121[/tex]

[tex]P(X = 2) = C_{10,2}.(0.3)^{2}.(0.7)^{8} = 0.233[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.028 + 0.121 + 0.233 = 0.382[/tex]

A little rounding difference, but the correct answer is given by option d.

Answer:

50 hot dogs

150 sodas

Step-by-step explanation:

set up a system of equations where 'h' = # hot dogs sold and '3h' = # sodas sold

h + s = 200

s = 3h

h + 3h = 200

4h = 200

h = 50

s = 200-50 or 150

Answer:

22 ft²

Step-by-step explanation:

SA = 2(5 x 1) + 2 ( 5 x 1 ) + 2 (1x1)

SA = 20 + 2 = 22

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have the relationship between the actual air temperature x (in degrees Fahrenheit) and the temperature y adjust for wind chill (in degrees Fahrenheit, given by 20 mph wind) is given as:

y = -22 + 1.4x

When.

The temperature adjusted for wind chill, y  = -15 degrees Fahrenheit
Put this value in the given linear equation, we get:

-15 = -22 + 1.4x

-15 + 22 = 1.4x    (add 22 on both sides)

7 = 1.4x

x = 5 degrees Fahrenheit  (divide by 1.4 on both sides)

Thus, the actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.

Learn more about the linear equation here:

brainly.com/question/11897796

Answer:

x = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

7x - 18 = 4x + 21

Step 2: Solve for x

Answer:

x = 13

Step-by-step explanation:

7 x - 18 = 4 x + 21

Subtract 4x on both side

7x - 4 x - 18 = 4x - 4x + 21

3 x - 18 = 21

Add 18 on each side

3 x - 18 + 18 = 21 + 18

3 x = 39

Divided each side by 3

3 x / 3 = 39 / 3

x = 13

The answer to that is A: He unknowingly invites his master’s enemies to join the feast.

Step-by-step explanation:

Edge 22

Answer:

Step-by-step explanation:

First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11.  The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:

[tex]m=\frac{13950-22200}{11-0}=\frac{-8250}{11}=-750\frac{people}{year}[/tex] That means that the town is losing people at the rate of 750 per year. We can use that slop along with one of the coordinate points to write the linear equation representing this situation:

[tex]y-22200=-750(x-0)[/tex] and

y = -750x + 22200. That answers part A.

Now for B we need to find y when x = 13 (remember we let year 2001 = 0, so year 2014 = 13):

y = -750(13) + 22200 so

y = 12450 people in the year 2014

Answer:g(x) is flipped and 2 times as steep and shifted left 5

Step-by-step explanation:

Answer:

AB=AC

X²+8 =33

X²=33-8

X²=25.

X=√25

X=5

Answer:

Multiply each side by 6

Step-by-step explanation:

27 = m/6 - 3

Add 3 to each side

27+3 = m/6 - 3+3

30 = m/6

Multiply each side by 6

30*6 = m/6*6

180 = m

Answer:

do you have a picture or?

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]C(d) = \frac{1}{5}d + 320[/tex]

Step-by-step explanation:

Given

[tex]d \to miles[/tex]

[tex]C \to cost[/tex]

So:

[tex](d_1,C_1) = (500,420)[/tex] --- May

[tex](d_2,C_2) = (620,444)[/tex] --- June

Required

Express as a function

Start by calculating the slope (m)

[tex]m = \frac{\triangle C}{\triangle d}[/tex]

[tex]m = \frac{444-420}{620-500}[/tex]

[tex]m = \frac{24}{120}[/tex]

Simplify

[tex]m = \frac{1}{5}[/tex]

The equation is:

[tex]C(d) = m(d - d_1) +C_1[/tex]

[tex]C(d) = \frac{1}{5}(d - 500) +420[/tex]

[tex]C(d) = \frac{1}{5}d - 100 +420[/tex]

Take LCM

[tex]C(d) = \frac{1}{5}d + 320[/tex]

Answer:

leslie will hace 587 score and

jackson =587+31= 618

Step-by-step explanation:

1134 -31/2 = leslie

leslie + 31 = 618

Answer:

see below

Step-by-step explanation:                          6  24  10  18

Leslie  = x points

Jackson scored 38 more points than Leslie    Jackson =  x + 38 points

Together, Jackson and Leslie scored 1134       Sum of both scores

  Leslie + Jackson = 1134

      x     +   x + 38   = 1134              solve for x Leslie's number of points

            2x  + 38  =  1134

     2x  + 38 - 38 =  1134 -38

              2x  =  1096

            2x/2 =  1096 / 1

                x  =   1096 /2

                x  =     548          Leslie points

          Jackson =  Leslie's points + 38 points

                         =    548 + 38

          Jackson's points  =  586 points

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

2^4

Step-by-step explanation:

2*2*2*2

There are four 2's multiplied together

2 is the base and 4 is the exponent

2^4

Answer:

Hello There!!

Step-by-step explanation:

The answer is D. 2^4. 2^4 means the same as 2×2×2×2 which means 2 is multiplied my itself 4 times.

hope this helps,have a great day!!

~Pinky~

Answer:

ADMC

Step-by-step explanation:

The secant of a circle is a line that cuts the cuts two points of the circumference with one end point external to the circle;

Fro the given diagram, the two lines that cuts the circumference of the circle at two points are AEB and ADMC

Hence the one that contains diameter with point M is line ADMC

Answer:

Perpendicular

Skew

Parallel

Step-by-step explanation:

First one : the lines intersect and they form right angles

The second one : they don't intersect and appear on separate planes

The last : they are both sides of a rectangle on the same plane

Answer:

1.) skew

2.) perpendicular

3.)parallel

Step-by-step explanation:

hope that helps:)

Answer:

different

Step-by-step explanation: very different

Answer:

Please find the complete question in the attached file.

Step-by-step explanation:

For point 1:

At this point we make up triangles for the first one makes up by 3 matches figure 2 make up by 5 matches figure 3 makes up by 7 matches.

For point 2:

 [tex]4 \ \ 5\ \ 6\ \ 7\ \ 8[/tex]  you can try to  

[tex]9 \ \ 11\ \ 13 \ \ 15 \ \ 17[/tex] draw to find  values  

For point 3:

number of matches[tex]= 1+2 \times \ figure\ number\\\\[/tex]

For point 4:

[tex]1+2 \times 9=19 \ \ (use \ law \ of\ (iii)) \\\\1+2 \times 17=35[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

Parallelogram PTSR is divided into two equilateral triangles by diagonal RT. All of the acute angles in that quadrilateral are 60°, and the obtuse angles are 120° (2×60° and also the supplement of 60°).

Triangle PTQ is an isosceles right triangle, so its acute angles are 45°.

  ∠PTQ = 45°

  ∠QTR = ∠PTR -∠PTQ = 60° -45°

  ∠QTR = 15°

  ∠PTS = 120° . . . . . . obtuse angle in PTSR; sum of ∠PTR and ∠RTS

9514 1404 393

Answer:

  21 September

Step-by-step explanation:

Since Alicia is 12 days older, her birthday was 12 days before October 3rd. If we think of October 3rd as equivalent to September 33rd, then 12 days previous is the 33 -12 = 21st day of September.

Alicia's birthday is September 21st.

9514 1404 393

Answer:

  C.  -√(x+6) -2

Step-by-step explanation:

The functions x², √x, and |x| all have ranges that are non-negative values. This means the range of the given function f(x) = -|x+3|-2 will be values that are at most 2.

The ranges of the offered answer choices are ...

  A. y ≥ -3

  B. y ≥ -2

  C. y ≤ -2 . . . . . matches that of the given function

  D. y ≤ -3