The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 10.1 minutes and a standard deviation of 2.8 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.)(a) less than 10 minutes (b) longer than 5 minutes (c) between 8 and 15 minutes
Answer:
0.6395 ; 0.9657 ; 0.7333
Step-by-step explanation:
Given that:
Mean (m) = 10.1
Standard deviation (s) = 2.8
Obtain the following probabilities :
a) less than 10 minutes
P(x < 10)
Z = (x - m) / s
Z = (10 - 10.1) / 2.8
Z = 0.1 / 2.8
Z = 0.0357142
P(Z < 0.357) = 0.6395 ( Z probability calculator)
(b) longer than 5 minutes
P(x > 5)
Z = (x - m) / s
Z = (5 - 10.1) / 2.8
Z = −1.821428
P(Z < - 1.821) = 0.9657 ( Z probability calculator)
(c) between 8 and 15 minutes
P(8 < x < 15)
P(x < 8)
Z = (x - m) / s
Z = (8 - 10.1) / 2.8
Z = − 0.75
P(Z < - 0.75) = 0.22663 ( Z probability calculator)
P(x < 15)
Z = (x - m) / s
Z = (15 - 10.1) / 2.8
Z = 1.75
P(Z < 1.75) = 0.95994 ( Z probability calculator)
P(Z < 1.75) - P(Z < - 0.75)
0.95994 - 0.22663 = 0.7333
what
is
balanced
diet
?
Why
should
we
take
balanced
What
are
the
functions
of
protein
?
Write
its
sources
,
Name
two
food
items
that
make
us
fat
(
obese
)
if
taken
in
exc
and regularly
Name two protective food product,
List the importance of water in our diet.
How can we preserve our foods?
Why should we not over cook our food?
Make a list of nutrients with three sources of each,
Watch the following
again
Proteins
bones and teeth
body building food
Fats
Answer:
A balanced diet is when we eat different groups of food in right proportion and in sufficient quantity to maintain a healthy life
The function of proteins :supply the amino acids necessary to synthesize new proteins needed for metabolism,growth and repair
I need help on this question
Answer:
Mexico
Step-by-step explanation:
It’s in Spanish
Please answer quickly will mark brainliest!
Answer:
find a common denominator
Step-by-step explanation:
Solve for points....
Answer:
Step-by-step explanation:
For Mr Rowley,
Ratio of Number of home works to the number of exit tickets = [tex]\frac{12}{14}[/tex]
= [tex]\frac{6}{7}[/tex]
= 6:7
For Ms Rivera,
Ratio of Number of home works to the number of exit tickets = [tex]\frac{36}{42}[/tex]
= [tex]\frac{6}{7}[/tex]
= 6:7
Since, both the ratios are same, fractions will be proportional.
[tex]\frac{12}{14}=\frac{36}{42}[/tex]
Todd has been helping his grandmother vanilla ice cream. Yesterday morning they made 4.5 quarts of ice cream. They are going to store the ice
cream in pint sized containers to place in the freezer.
Calculate how many pint-sized containers Todd needs to store 4.5 quarts of ice cream.
Todd will need
pint-sized containers to store 4.5 quarts of ice cream
Answer:
Todd will need 9 pint-sized containers to store 4.5 quarts of ice cream.
How is your day? I hope you had a great one!
Answer:
great!
Step-by-step explanation:
how about you?
At an arcade, Michael pays $0.50 for each game he plays. proportional or non-proportional?
Answer:
proportional
Step-by-step explanation:
because for each game played, he pays $0.50, meaning equation is 0.50x. That is a proportional equation. The change is constant, at 0.50
please hit the heart button :)
Answer:
That would be proportional
Step-by-step explanation:
If each game is 50 cents then yes it would be proportional
If each thing is worth the same it’s proportional but if not then its not proportional
for example
1 game 50 cents
2 game 1 dollar (becuase 0.5+0.5 is 1)
3 games 1.50
ts proportional
if there are 7282 male students at georgia institute of technology, how much females are there?
Answer:
2974
Step-by-step explanation:
female/male = 29/71
female =male*29/71 =7282*29/71= 2974.33 =2974
Students set up the experiment shown in their Biology class. After 24 hours, students noticed gas had accumulated in one of the inverted test tubes.
They measured the amount of gas.
What would be a best explanation for the gas accumulated in one of the inverted test tubes?
Answer: Light caused the eludes plants to photosynthesize, releasing O2 gas
Students replicated the experiment carried out in biology class, and after observing for 24 hours that gas had accumulated in one of the inverted test tubes, it is by light caused to elodea plant to photosynthesize and release oxygen, hence option D is correct.
What is the photosynthesis experiment?There are numerous studies that show photosynthesis in action. For instance, when an elodea plant is exposed to sunlight, gases are emitted, collected in a tube, and tested to see if they contain oxygen.
This shows that the plant creates oxygen and glucose when exposed to sunlight.
Therefore students replicated the experiment carried out in biology class, and by the plant during the process of photosynthesis, hence option D is correct.
Learn more about photosynthesis, here:
https://brainly.com/question/30033973
#SPJ5
What is the answer?????
Answer:
0.25
Step-by-step explanation:
ON A COMPUTER SCREEN ANSWER ASAP
Point M is drawn as the midpoint of BC.
Which of the following could be used as part of the proof that B2C? Select three that apply.
AB AC because of the definition of an isosceles triangle
BAC because corresponding parts of congruent triangles are congruent.
AABM 4 AACM because of the SAS triangle congruence criterion
BMCM because of the definition of a midpoint
AM A AM because of the Symmetric Property
Answer:
A. AB = AC because of the definition of an isosceles triangle
B. ∠B = ∠C because corresponding parts of congruent triangles are congruent.
D. BM = CM because of the definition of a midpoint
Step-by-step explanation:
A. An isosceles triangle is a triangle with two equal sides, hence:
AB = AC because of the definition of an isosceles triangle. option A is correct.
D. Since Point M is drawn as the midpoint of BC, hence:
BM = CM because of the definition of a midpoint. Option D is correct.
E. Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. hence AM ≈ AM because of reflexive property.
AM ≈ AM because of the Symmetric Property is wrong. Option E is wrong.
C) The side - side - side (SSS) triangle congruence theorem states that if all the sides of two triangles are equal, then they are congruent triangles.
Since BM = CM, AM = AM and AB = AC, hence ΔABM = ΔACM because of the SSS triangle congruence criterion
ΔABM = ΔACM because of the SAS triangle congruence criterion is wrong. Option C is wrong.
D. Corresponding parts of congruent triangles are congruent. hence:
∠B = ∠C because corresponding parts of congruent triangles are congruent. Option B is correct
Write [ (-4)×(-5)]^5 as a product of powers.
A.(-4)^5+(-5)^5=
b. 4^5×5=
c. (-4)^5×(-5)^5=
d.5(-4)+5(-5)=
Answer:
c
Step-by-step explanation:
I took the test and got a 4/5
Answer:
(-4)^5x(-5)^5=
Step-by-step explanation:
Which equation has the solutions x=1+/- 5?
Ox^2+2x + 4 =0
Ox^2-2x + 4 =0
Ox^2+ 2x-4 = 0
Ox^2-2x – 4 =0
Answer:
[tex]x^{2} -2x-4=0[/tex]
Solving Steps
Use the quadratic formula
[tex]x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}[/tex]
Multiply / Remove the parentheses / Evaluate
[tex]x=\frac{2(+/-)\sqrt{4+16} }{2}[/tex]
Calculate
[tex]x=\frac{2(+/-)\sqrt{20} }{2}[/tex]
Separate the solutions
[tex]x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}[/tex]
Simplify
[tex]x=1+\sqrt{5} \\x=1-\sqrt{5}[/tex]
please answer I will mark as brainliest
Answer:
[tex]3)\ and\ 4)[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\A\ is\ the\ set\ of\ squares.\\x\ belongs\ to\ the\ Set\ A\\y\ belongs\ to\ the\ Set\ A,\ too.\\Hence,\\Lets\ consider\ that\ \sqrt{x} =a, \sqrt{y}=b\\Hence,\\a^2=x, b^2=y\\Before\ proceeding\ we\ may\ use\ the\ following\ Laws\ Of\ Exponents:\\* For\ any\ two\ real\ numbers,\ m\ and\ n, m^a*n^a=(mn)^a\\* For\ any\ two\ real\ numbers,\ m\ and\ n, \frac{m^a}{n^a}=[\frac{m}{n}]^a\\[/tex]
[tex]Now,\\When\ we\ intend\ to\ multiply\ x\ and\ y,\\x*y=a^2*b^2\\xy=a^2*b^2\\xy=(ab)^2\\As\ the\ new\ term\ xy\ is\ the\ square\ of\ product\ of\ a\ and\ b\,\ it\\ is\ a\ square\ too.\ Hence,\ it\ belongs\ in\ the\ set\ of\ squares(A).\\Similarly,\\When\ we\ intend\ to\ divide\ x\ by\ y,\\\frac{x}{y} =\frac{a^2}{b^2}\\Hence,\\\frac{x}{y} =[\frac{a}{b}]^2\\As\ the\ new\ term\ \frac{x}{y}\ is\ the\ square\ of\ the\ quotient\ of\ a\ and\ b\ i.e\ \frac{a}{b}, the\ term\\ \frac{x}{y}\ too\ belongs\ toA[/tex]
[tex]Why\ not\ 1)\ and\ 2)?\\Because\ by\ just\ adding/subtracting\ x\ and\ y:\\x+y=a^2+b^2\\x-y=a^2-b^2\\It\ doesnt\ really\ prove\ that\ their\ sum\ say\ c\ is\ a\ perfect\ square.(except\\ in\ the\ case\ of\ Pythagorean\ Triplets [Ex. 3,4,5\ or\ 6,8,10]. Hence, As\\ not\ all\ numbers\ form\ integral\ pythagorean\ triplets,\\ (x+y)\ and\ (x-y)\ are\ not\ always\ perfect\ squares\ and\ hence,\\ dont\ belong\ to\ Set\ A.[/tex]
[tex]This\ gives\ Options\ 3)\ and\ 4)\ as\ the\ right\ answer.[/tex]
I gave extra points and I will give brainliest
Which of these is an example of a random sample?
A. Mrs. Baker selects the 10 students who raised their hands to volunteer to fill out a survey.
B. Mrs. Baker selects the 10 students whose names are drawn from a bag to fill out a survey.
C. Mrs. Baker selects the 10 students who arrived to class first on Monday to fill out a survey.
D. Mrs. Baker selects the 10 students with the highest grade point averages to fill out a survey.
Answer:
B
Step-by-step explanation:
There is no bias involved and there is a chance for everyone to do it.
Answer:
D
Step-by-step explanation:
Mrs. Baker selects the 10 students with the highest grade point averages to fill out a survey.
Which expression is equivalent to the expression below? 1/2 * x - 1
Answer:
2 * x - 2
Step-by-step explanation:
If you double something on one side, you have to do it on the other side
So you can do this for any problem, and it will be equivalent to the original expression :D
The school band is ordering health bars to sell for a tundraiser The company that sells the bars charges $0.40 per bar
plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the
tundraiser The inequality below relates x the number of bars that could be ordered, with the shipping costs and their
spendingg requirements
040x+20 <200
Which best describes the number of bars the band can order?
O They can onder from 0 to 449 bars but no more
O They can order trom 0 to 450 bars but no more
O Their order must contain 451 bars or more
O Their order must contain 452 bars or more
Answer:
A
Step-by-step explanation:
Answer:
A: They can order from 0 to 449 bars, but no more.
Step-by-step explanation:
the other guy deserves more likes
The population of a city decreases by 4% per year. If this year's population is 231,000, what will next year's population be, to the nearest individual?
Answer:
221,760
Step-by-step explanation:
1. multiply 231,000 by 4
2. divide the answer by 100
3. subtract that answer from 231,000
4. This is the answer to the question
Isosceles trapezoid ABCD has legs AB and CD, and base BC If.AB = 6 -7, BC = 2y - 4, and CD=7y - 20 find
the value of y.
Answer:
y = 13
Step-by-step explanation:
y = 13
1. What's the fraction 18/24 reduced to its lowest terms?
A. 12
B.24 18
C.34
D. 1824
Answer:
answer is 3 upon 4
Step-by-step explanation:
because if we reduce 18/24 to its lowest term so first we have to reduce 18 to and then 24 --- 18 is factor of 9x2 and 24 is factor of 12x2 then we have to cut 2 in both and there is answer 9 upon 12 still it is reducing so 3x3 is 9 and 3x4 is 12 so now we have to cut 3 in both the answer is 3 upon 4
Select the correct answer from the drop-down menu.
N
56°
56°
34
M
Р
20
Answer:
the amswer is b hope this helps
A recipe uses 3 tbspoons of olive oil for every 2 cloves of garlic. How many cloves for every 1 tbspoons of oil?
Answer:
half a clove of garlic
Step-by-step explanation:
2 tablespoons of olive oil would mean 1 clove of garlic so 1 tablespoon of olive oil would mean half a clove of garlic
Answer:
Step-by-step explanation:
6djj
I need help with this problem.
Naomi has a lot of stuff in her pencil case. There are 18 items in her pencil case, including 9 pencils. What is the probability that a randomly selected item from Naomi's pencil case will be a pencil? Write your answer as a fraction or whole number. P(pencil) =
Answer:
p=1/2
Step-by-step explanation:
If 9 is 1 half of 18 that means there is a 50% chance of you picking a pencil out of the pencil case
Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each.
Answer:
$15 and 50 cents
Step-by-step explanation:
3.25x2=6.50+9=15.50
1 Austin earned 47 out of 50 points on his math test. Marty earned a 92% on his math test. Who earned a higher score? Marty or Austin
Answer:
Austin earned a higher score
Step-by-step explanation:
47/50 (Austin's score) = 94/100 (denominator is now 100) = 94% (converted to percentage) > 92% (Marty's score)
Hope this helps!
Answer:
Austin earned a higher score.
Step-by-step explanation:
Marty 50 * 0.92 = 46 points
Directions (0.13 to 0.16): Find the odd one out.
13.
(1) Gujarat
(2) Maharashtra
(3) Uttar Pradesh
(4) West Bengal
Answer:
[tex]uttar \: pradesh[/tex]
Step-by-step explanation:
[tex]because \: all \: except \: uttar \: pradesh \\ \: have \: sea \: coast \\ \: \\need \: brainliest \: and \: thankss...[/tex]
What equation has w=8 as the solution
Answer:
3w+7=31
Step-by-step explanation:
Subtract 7 on both sides
3w+7=31
-7 -7
Divide by 3 on both sides
3w=24
/3 /3
w=8
Hopefully, this helps! :)
Madea hires a caterer to provide food for her birthday. The caterer charges
her $225 for food and supplies and $25 per hour to serve during the party.
Madea ends up paying $350 total. How many hours did the caterer serve?
Use the equation 25x+225=350 to solve.
Answer:
The caterer served 5 hours. x = 5
Step-by-step explanation:
25x + 225 = 350
We must use inverse operations to get x
25x + 225 - 225 = 350 - 225
25x = 125
25x ÷ 25 = 125 ÷ 25
x = 5
the caterer served 5 hours.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!