Answer:
C. Mitch, because he gets higher median hours of sleep
Step-by-step explanation:
5
7
−
2
+
7
=
1
1
1
Answer:
Step-by-step explanation:
57-2=55
55+7=62
it does not equal 111
please answer asap!!! thank you
Answer:
b trust me its b
Step-by-step explanation:
A quiz has 10 multiple choice questions each with 4 answers that are equally likely to be the correct one. Suppose that the quiz takers need to score 7 corrects out of 10 to pass. Answer the following questions when the quiz taker selects the answers randomly. a) Probability of marking exactly 3 incorrect answers. b) Probability of passing
Answer:
a) 0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) 0.0035 = 0.35% probability of passing.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student chooses the correct answer, or he does not. Questions are independent of each other. So we use the binomial probability distribution 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.
10 multiple choice questions
This means that [tex]n = 10[/tex]
4 answers that are equally likely to be the correct one. The quiz taker selects the answers randomly.
This means that [tex]p = \frac{1}{4} = 0.25[/tex]
a) Probability of marking exactly 3 incorrect answers.
3 incorrectly = 7 correctly, so this is P(X = 7).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]
0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) Probability of passing
At least 7 correct, so
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]
[tex]P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004[/tex]
[tex]P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} \approx 0[/tex]
[tex]P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \approx 0[/tex]
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0 + 0 = 0.0035[/tex]
0.0035 = 0.35% probability of passing.
At Pizza Pi, 32% of the pizzas made last week had extra cheese. If 16 pizzas had extra cheese, how many pizzas in all were made last week?
Answer:
50
Step-by-step explanation:
you need to put first the 32 on top of 100 since it always goes over 100 then you put 16 over a blank and you divide 32 by 16 which equals 2 so since you divided at the top you need to divide at the bottom so you divide 100 by 2 and you get 50 so 50 is your answer
A men's suit is on sale for $175. If the original price of the suit was $250, what percent of
discount was used during the sale?
Answer:
75 percent
Step-by-step explanation:
250-175=75
0.75 X 250= 75perecent
The first grade class has 36 students. The second
grade class has 7 more students than the first grade class. The third grade
class has 25 more students than the first grade class. The fourth grade
class has the same number of students as the first grade class and the fifth
grade class has 9 fewer students than the first grade class. How many
students are there altogether in the five grades? *
Answer:
36+41+59+36+27=199
Step-by-step explanation:
Answer:
203
Step-by-step explanation:
first grade 36
Second grade 36+7=43
third grade 36+25=61
forth grade 36
fifth grade 36-9=27
36+43+61+36+27=203
Sally painted a picture that has an area of 480 square inches. The length of the painting is 1 1/5 its width. Which of the following could be the dimensions of Sally's painting?
Pls help ASAP I’ll brainlest
Answer:
x=-0.26
Step-by-step explanation:
Pls help I’ll brainlest ASAP pls
Answer:
k=63
Step-by-step explanation:
(k/3)+3=24
---> (k/3)=21
- this is because we subtracted 3 from each side
---> k=63
- this is because we multiplied each side by 3
i hope this helped :D
Answer:
k=63
Step-by-step explanation:
i jus checked
A building is 52 meters tall. The building next to it is 50.36 meters tall. What is the difference between the heights of the buildings?
Answer:
1.64 meters
Step-by-step explanation:
Subtract 52 - 50.36 to find the difference between the heights. You get 1.64 meters.
Hope it helps!
HELP!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
;)
Use the calculator to find the value of x for the equation: × + 3.2=6.3
Answer:
x = 3.1
Step-by-step explanation:
Subtract 6.3 - 3.2 to find the value of x. You get 3.1.
Hope it helps!
Over time, Bailey has buried 6 large bones and 9 small bones in a hole. What is the ratio of small bones to large bones in the hole?
Answer:
3:2
Step-by-step explanation:
to write a ratio, we can do ?:? in order. for example, 5 big shops to 10 small shops would be 5:10 (we are going to simplify it later) You always have to put the ratio numbers in order like they are in the question. In this case, small bones : big bones. We get 9:6. We can then divide both sides by a common factor, in this case 3. The end result is 3:2. Hope this helps!
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hours. The Thompson family's sprinkler was used for hours. There was a combined total output of of water. What was the water output rate for each sprinkler if the sum of the two rates was per hour
This question s incomplete, the complete question is;
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.
There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour
Answer:
The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
Step-by-step explanation:
Given the data in the question;
let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively
so
x + y = 55 ----------------equ1
x = 55 - y ------------------qu2
also
15x + 30y = 1050
x + 2y = 70 --------------equ3
input equ2 into equ3
(55 - y) + 2y = 70
- y + 2y = 70 - 55
y = 15
input value of y into equ1
x + 15 = 55
x = 55 - 15
x = 40
Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
when graphing what does "b" stand for in y-intercept
a. base
b. begin
c. binomial
d. bound
Answer:
A. base
Step-by-step explanation:
if this helped please press the pink "thanks" button
Simplify the following expression:
5(2x-4)-4(2-5x)
Answer:
30x - 28
Step-by-step explanation:
distribute
5(2x) - 5(4) -4(2) - 4(-5x)
10x - 20 - 8 + 20x
30x - 28
P(AB)fxufucufgcidgfyzyfgx
Answer:
????????????????xhrhrhdhehdhzh
Answer:
??????????????????????????????????????????????????????????????????????????///////
Step-by-step explanation:
Determine if the sequence is arithmetic or geometric.
3, 6, 9, 12, ....... when x = 0, 1, 2, 3, .....
Arithmetic
OR
Geometric
Answer:
arithmetic
Step-by-step explanation:
14. What is the value of the missing angle? (1 point)
151
х
75
75-
115
135
O 129°
O 1530
O 1690
0720°
Answer:
75+ po e photo math nyo po sa play store I download nyo po
Step-by-step explanation:
sana po makatulong po
A researcher wants to conduct a study to see if cell phones cause headaches. The researcher finds 30 individuals who use cell phones regularly and 30 that do not. Each of the 60 individuals are given a questionnaire designed to determine headache frequency. If the 60 individuals did not know they were participating in the study, which statement about the study is correct?
a. It is an experiment where cell phone habits is a blocking variable.
b. It is an observational study.
c. It is a matched-pairs design.
d. It is a randomized experiment.
e. It is a double-blind study.
Answer: E. It is a double-blind study.
Step-by-step explanation:
This is a double blind study since the 60 individuals who partake in the study did not know they were participating in the study,
A double-blind study is a kind of study whereby the participants involved do not know that they are participating in a study and also don't know who'll end up getting a certain treatment. The aim of this is so that bias can be prevented in the study.
John paints blue spots on his car. He usually paints these blue spots in pairs. If the total count of blue spots is 72, how many pairs of blue spots are there?
Answer: 10 quarts of blue paint for every 2 quarts of green paint
Step-by-step explanation: The graph represents the relationship between the number of quarts of blue paint in the mix, xx and the number of quarts of yellow paint, yy.
The point (2 , 10) on the graph indicates 2 quarts of blue paint for every 10 quarts of yellow paint .
How do you solve the following word problem
A small radio transmitter broadcasts in a 49 mile radius. If you drive along a straight line from a city 67 miles north of the transmitter to a second city 63 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
I must give the answer in miles and am unclear as to what equations to use and need details on what equations to use to get to the correct answer.
thanks for any help.
M
Answer:
Step-by-step explanation:
Let the transmitter be located at (0,0)
The equation for its effective coverage area will be a circle centered at (0,0) with a radius of 49.
So....the equation is
[tex]x^2 + y^2 = 49^2[/tex]
[tex]x^2 + y^2 = 2401[/tex]
Let the point 67 miles north of the transmitter be (0, 67)
Let the point 63 miles east of the transmitter be (63, 0)
The line connecting these (the line of travel) will have a slope of
[67 - 0] / [ 0 - 63] = -67/63
The equation of this line will be: y = (-67/63)x + 67
The signal will be received between the points:
(21.681, 43.942) and (45.192, 18.938)
The distance between these points is
[tex]\sqrt{[ ( 45.192 - 21.681)^2 + ( 43.942 - 18.938)^2 ] } = 34.322 miles[/tex] (1)
The distance between (0, 63) and (67, 0)
[tex]\sqrt{[ ( 63)^2 + ( 67)^2 ] }=91.97miles[/tex] (2)
So....you will receive the signal using (1)/ (2)
(34.322 / 91.97) x 100 ≈ 37% of the drive
Xavier's new car uses 25 gallons for 528 miles, approximately how many miles does it travel per gallon ?
what is 5 divided by 3/10
Answer:
16.6 :)
Step-by-step explanation:
PLZ FOLLOW ME
I REALLY NEED HELP ITS WORTH 30 POINTS
Answer:
1) x < 30
2) x > 20
3) x >= 250
4) x > 20
5-10) I cant see the numbers on the graph
Step-by-step explanation:
Answer:
For the graphs you have to basically make those words into a mathematical equation to make more sense like for the first problem in which..
x>30
remember, open circles mean that its it can't be greater for symbols like < and >
closed circles are for inequalities that are greater than or equal to or less than or equal to which are these symbols: ≤ and ≥
let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve the system and find the numbers. three times a first number decreased by a second number is 22. the first number increased by twice the second number is 12.
9514 1404 393
Answer:
(x, y) = (8, 2)
Step-by-step explanation:
The relevant equations are ...
3x -y = 22
x +2y = 12
__
We can eliminate y by adding twice the first equation to the second.
2(3x -y) +(x +2y) = 2(22) +(12)
7x = 56
x = 8
Substituting into the first equation gives ...
3(8) -y = 22
y = 24 -22 = 2
The first number is 8; the second number is 2.
How have you seen racism, protest, conflict, dehumanization play out in our current world?
paragraph plz
Answer:
i have seen a lot of racist people. let me tell you something that happened the other day when i was on here i found this kid posting racist things and calling blacks ugly. and he then started being mean to my friends and every year we celebrate black history month for rights rights and this is a good thing to do cause we all matter.#black lives matter
Step-by-step explanation:
Evaluate the expression when a=−15 and b=−5.
Answer:
-3/5
Step-by-step explanation:
(b + 14)/a = ((-5) + 14)/(-15) = -9/15 =-3/5
Please, please, please, please help
(-6, -2) (4, -5) what is the distance in units, between the two points