Answer:
Step-by-step explanation:
The required expression representing Kona's mother age is k^2-4
Step-by-step explanation: Given that Kona’s mother realized that her age is the difference of Kona’s age squared and four.
We are to find the expression that represents Kona’s mother’s age.
Given that Kona's age is represented by k .
So, the square of Kona's age will be k^2
Now, we are suppose to take the difference of k^2 and 4, which is represented by k^2-4
We cannot take 4-k^2 because the age of Kona's mother cannot be so small.
Therefore, if 'm' represents the age of Kona's mother, then we get
m=k^2-4
Thus, the required expression is k^2-4
Consider this data set.
13, 17, 21, 3, 14, 34, 22, 20, 16, 19, 15
Which data values are outliers?
Select each correct answer
3
13
15
34
Answer:
3 and 34
Step-by-step explanation:
they are the extremes in this, you want to look for out of place numbers when dealing with outliers
54 people in 1 bus, how many buses for 213 people are needed?
Answer:
4 buses
Step-by-step explanation:
213/54 = 3.9 but you have to round up to 4 since you can't have 9 tenths of a bus
A box holds 12 markers. Nan takes out 6. Then she puts 2 back. Are there enough markers in the box for Fen to take out 10?
Answer:
Nope
Step-by-step explanation:
No because you can (12 + 6) +2 and get 8. so yea
Marta walked at 4.7 miles per hour for 0.83 hours. How far did she walk?
The probability that the patient recovers from a rare deadly disease is 40% and failure to recover is 60%.If 15 people contracted this disease what is the probability that a. 5 will survive? b. 8 will survive? c.12 will survive?(complete solution)
Answer:
a) 0.1859 = 18.59% probability that 5 will survive.
b) 0.1181 = 11.81% probability that 8 will survive.
c) 0.0016 = 0.16% probability that 12 will survive.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either they survive, or they do not. The probability of a patient surviving is independent of any other patient. This means that 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.
The probability that the patient recovers from a rare deadly disease is 40%
This means that [tex]p = 0.4[/tex]
15 individuals
This means that [tex]n = 15[/tex]
a. 5 will survive
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.4)^{5}.(0.6)^{10} = 0.1859[/tex]
0.1859 = 18.59% probability that 5 will survive.
b. 8 will survive
This is P(X = 8). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{15,8}.(0.4)^{8}.(0.6)^{7} = 0.1181[/tex]
0.1181 = 11.81% probability that 8 will survive.
c.12 will survive
This is P(X = 12). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 12) = C_{15,12}.(0.4)^{12}.(0.6)^{3} = 0.0016[/tex]
0.0016 = 0.16% probability that 12 will survive.
The product of two whole numbers is 360 an their sum is less than 100 what are the possible for the two numbers
Answer: 36 and 10
Step-by-step explanation:
36 * 10 = 360, 36 + 10 = 46
What is the midpoint of a line segment with endpoints at (2, 3) and (4,5)
Answer:
(3, 4)
Step-by-step explanation:
First, find the x coordinate of the midpoint by finding the average of the two x values:
(2 + 4) / 2
6 / 2
= 3
Find the y coordinate of the midpoint by finding the average of the two y values:
(3 + 5) / 2
8 / 2
= 4
So, the x coordinate of the midpoint is 3 and the y coordinate is 4.
The midpoint is (3, 4)
select all the expressions that have a value greater than 19 X 12
Answer:
123
Step-by-step explanation:
State whether f^-1 (x) is a function given the equation
Answer:
We have that [tex]f(a) = f(b)[/tex] if [tex]a = \pm b[/tex], which does not respect the condition for the existence of an inverse function, which means that [tex]f^{-1}(x)[/tex] does not exist for this function.
Step-by-step explanation:
Existence of an inverse function:
An inverse function will exist if: f(a) = f(b) only if a = b.
In this question:
[tex]f(a) = -\frac{1}{7}\sqrt{16 - a^2}[/tex]
[tex]f(b) = -\frac{1}{7}\sqrt{16 - b^2}[/tex]
[tex]-\frac{1}{7}\sqrt{16 - a^2} =-\frac{1}{7}\sqrt{16 - b^2}[/tex]
[tex]\sqrt{16 - a^2} = \sqrt{16 - b^2}[/tex]
[tex](\sqrt{16 - a^2})^2 = (\sqrt{16 - b^2})^2[/tex]
[tex]16 - a^2 = 16 - b^2[/tex]
[tex]a^2 = b^2[/tex]
[tex]a = \pm b[/tex]
We have that [tex]f(a) = f(b)[/tex] if [tex]a = \pm b[/tex], which does not respect the condition for the existence of an inverse function, which means that [tex]f^{-1}(x)[/tex] does not exist for this function.
Can someone help me find the answer to this riddle please?
Answer: Riddle
Step-by-step explanation: The letters that aren't in the second word, but are in the first make riddle. Like I got the r because it wasn't in bead but it was in bread, etc
Answer:
The answer is "Riddle"
Step-by-step explanation:
First letter: R
Second letter: I
Third letter: D
Fourth Letter: D
Fifth Letter: L
Sixth Letter: E
Owen follows the rule "divide by 2" to write the pattern below. He will write two
more numbers to complete the pattern. Which statement is true?
Grace
800, 400, 200, 100, 0, 0
Every number in the pattern will have a 0 or a 5 in its ones place.
Every number in the pattern will have a 0 or a 5 in its tens place.
Every number in the pattern will have a 0 in its ones place.
Every number in the pattern will have a 0 in its tens place.
Done -
Answer:tbh
Step-by-step explanation:
and\
Which expression is equivalent to
Answer:
x^6
Step-by-step explanation:
Which expression is equivalent to (see the picture)
A. 20x-21y +14
B. 20x + 11y + 14
C. 20x - 11y + 6
D. 20x + 21y +6
A different pack has 72 cards.
5/9 are yellow
Work out the number of yellow cards.
If OB = 6 and AB = 8, then EA
Answer:
what is that means i think it's better to ask by take a picture
find height of the density curve
Answer:
0.2 on khan academy
Step-by-step explanation:
Home pregnancy tests, like all medical tests, are not perfectly accurate. Suppose one such test has an accuracy level such that if a woman is pregnant there is a 12% chance that the test will fail to show it. On the other hand, if the woman is not pregnant there is still a 3% chance that the test will incorrectly say that she is. Show all the steps including identification of what formulas/properties you used. Points will be deducted from answers if only the final answer is provided.
a) If Joan is pregnant what is the chance that the test will detect it?
b) Based on other factors, Joan estimates there is an 80% chance that she is pregnant.
Therefore, Joan takes a pregnancy test. What is the probability that the test will indicate that she is pregnant?
c) Joan looks at the test result and it does indicate that she is pregnant. Given this test result, what is the probability that she is pregnant?
d) Pamela has also taken this particular home pregnancy test. Before taking the test, she estimated there was a 75% chance that she
Answer:just go to the doctor
Step-by-step explanation:
A spinner with 6 equally sized slices has 2 red slices, 1 blue slice, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?
Answer:
The probability is 2/6, or 1/3 (about 33%)
Step-by-step explanation:
Can someone please tell me what 597 ➗ 5 is
Answer:
119.4
Step-by-step explanation:
Big Brain Dude <:
Consider the points plotted on the number line shown below
Rhombus CDEF is shown below. If the slope
of FC is 5/2, what must be the slope of CD in order for CDEF to be a square?
Answer:
15
Step-by-step explanation:
trust
The slope of side CD in rhombus CDEF is -2/5. Therefore, option B is the correct answer.
What is a rhombus?A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square.
Given that, the rhombus is CDEF and the slope of FC is 5/2.
Here, sides FC and CD are perpendicular.
The slope of a line perpendicular to given line is m₁=-1/m₂
Slope of CD is -2/5.
Therefore, option B is the correct answer.
Learn more about the rhombus here:
https://brainly.com/question/27870968.
#SPJ2
please help, the answer below is a option but i need a answer for the question
Answer:
12 units^2
Step-by-step explanation:
A box contains 3 defective batteries and 7 good ones. You reach in and pull out three
batteries. What is the expected number of defective batteries?
Answer:
The expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
Step-by-step explanation:
Given that a box contains 3 defective batteries and 7 good ones, and I reach in and pull out three batteries, to determine what is the expected number of defective batteries, the following calculation must be performed:
3 + 7 = 100
3 = X
10 = 100
3 = X
3 x 100/10 = X
300/10 = X
30 = X
3 x 3/10 = X
0.9 = X
Therefore, the expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
500 meters to kilometers
Which equation of a line is parallel to the graph of y = 3x -5 and passes through the point
(1,5)?
Please help me with this answer
9514 1404 393
Answer:
x = 12∠H = 94°Step-by-step explanation:
The marked angles are supplementary, so ...
(5x +26)° +(8x -2)° = 180°
13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24
x = 12 . . . . . . . . . . . divide by 13
∠H = (8x -2)° = (8·12 -2)°
∠H = 94°
In 2002, the manufacturers of M&M's surveyed people from around the world and asked them to vote for a new color: purple, aqua, or pink. In the United States, 42% of those who voted said purple, 37% said aqua, and 19% said pink. What's the probability that a randomly picked survey respondent from the United States preferred purple or pink?
Answer:
don't know
Step-by-step explanation:
dont know...........
Give me an example of an event that has a 2/5 chance of occuring.
Answer:
You have 2 red marbles and 3 green marbles in a bag. What is the probability that a red marble is pulled out of the bag?
Harry received a package for his birthday. The package weighed 350,000 centigrams. Select the conversions that are equivalent to 350,000 centigrams. Select all that apply.
35 kilograms
3,500 decigrams
350 dekagrams
3,500 grams
PLEASE ANSWER PLEASE
Given:
The package weighed 350,000 centigrams.
To find:
The conversions that are equivalent to 350,000 centigrams
Solution:
We know that,
1 centigrams (cg) = 0.000001 kilograms (kg)
1 cg = 0.1 decigrams (dg)
1 cg = 0.001 dekagrams (dag)
1 cg = 0.01 grams (g)
Using these conversions, we get
350,000 centigrams = 3.5 kilograms
350,000 centigrams = 35,000 decigrams
350,000 centigrams = 350 dekagrams
350,000 centigrams = 3,500 grams
Therefore the correct options are C and D.
Can 11yd 15yd and 27yd be measured
Answer:
yeah but it depends on what your measuring
have a good day :)
Step-by-step explanation: