Answer:
B
Step-by-step explanation:
After a tropical storm in a certain state, news reports indicated that 19 percent of households in the state lost power during the storm. A state engineer believes that estimate is too low. The engineer will collect data to perform a hypothesis test on the proportion of all households without power. Which of the following are the appropriate hypotheses for such a test?
Answer:
H0:p=0.19
Ha:p>0.19
Step-by-step explanation:
Amanda went to the store to purchase ink pens. She found three kinds of pens. The first cost $4 each; the price of the second kind was 4 for $1; and the cost for the third kind was 2 for $1. She bought 20 pens and she bought at least one of each kind. (It is possible to buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was $20. When she got back to her office, Amanda decided to turn this into a math problem for me. She asked: how many of each kind did I buy?
Answer:
Amanda buy first kind of pen = 3
Amanda buy second kind of pen = 2
Amanda buy third kind of pen = 15
Step-by-step explanation:
Given - Amanda went to the store to purchase ink pens. She found three
kinds of pens. The first cost $4 each; the price of the second kind
was 4 for $1; and the cost for the third kind was 2 for $1. She bought
20 pens and she bought at least one of each kind. (It is possible to
buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was
$20.
To find - When she got back to her office, Amanda decided to turn this into
a math problem for me. She asked: how many of each kind did I
buy?
Proof -
Let Amanda buy first kind of pen = x
second kind of pen = y
third kind of pen = z
As given,
She bought total pen = 20
⇒x + y + z = 20 ...............(1)
Now,
As given,
cost for first kind pen = $4 for 1 pen
As she bought x pens of first kind , so
Cost of x pens of first kind = $4x
Now,
The price of the second kind was 4 for $1
⇒Cost of second kind = $[tex]\frac{1}{4}[/tex] for 1 pen
As she bought y pens of send kind , so
Cost of y pens of second kind = $[tex]\frac{1}{4}y[/tex]
Now,
The price of the third kind was 2 for $1
⇒Cost of third kind = $[tex]\frac{1}{2}[/tex] for 1 pen
As she bought z pens of send kind , so
Cost of z pens of third kind = $[tex]\frac{1}{2}z[/tex]
Now,
As given, The cost was $20
⇒4x + [tex]\frac{1}{4}y[/tex] + [tex]\frac{1}{2}z[/tex] = 20
⇒16x + y + 2z = 80 .....................(2)
∴ we get 2 equations
x + y + z = 20 .....................(1)
16x + y + 2z = 80 .....................(2)
Now,
Subtract equation (1) from equation (2) , we get
16x + y + 2z - ( x+ y + z )= 80 - 20
⇒16x + y + 2z - x - y - z = 60
⇒15x + z = 60
⇒z = 60 - 15x
Now,
Put the value of z in equation (1) , we get
x + y + 60 - 15 x = 20
⇒ y - 14x = 20 - 60
⇒y - 14x = -40
⇒14x - y = 40
⇒y = 14x - 40
Now,
we get
z = 60 - 15x
y = 14x - 40
As given
she bought at least one of each kind
it means x > 1, y > 1, z > 1
Now,
If x = 1, then y = 14 - 40 = -26
Not possible
If x = 2 , then y = 14(2) - 40 = -12
Not possible
If x = 3, then y = 14(3) - 40 = 2 and z = 60 - 15(3) = 15
Possible.
If x = 4, then y = 14(4) - 40 = 16 and z = 60 - 15(4) = 0
Not Possible.
If x = 5, then y = 14(5) - 40 = 30 and z = 60 - 15(5) = -15
Not Possible.
∴ we get
x = 3, y = 2, z = 15
Amanda buy first kind of pen = x = 3
Amanda buy second kind of pen = y = 2
Amanda buy third kind of pen = z = 15
the angle of elevation from the bottom of the lift to the top of Snowbowl mountain is 33 degrees. If the height of the mountain is 544 meters, what is the length of a list from the bottom of a mountain to the top?
Answer:
Step-by-step explanation:
[tex]tan33=544/x\\ \\ x=\frac{544}{tan33}m\\ \\ x\approx 837.7m[/tex]
9514 1404 393
Answer:
999 meters
Step-by-step explanation:
The length of the lift line represents the hypotenuse of a right triangle. The side opposite the given angle is the height of the mountain. The applicable trig relation is ...
Sin = Opposite/Hypotenuse
We want to find the hypotenuse, so we use the rearranged form ...
hypotenuse = (mountain height)/sin(33°)
lift length = (544 m)/sin(33°) ≈ 998.83 m
The length of the lift from bottom to top is about 999 meters.
7 1/15 - 3 4/5
Answers:
A. 3 4/15
B. 4 11/15
C. 4 3/10
D. 3 1/15
Answer:
3 4/15
Step-by-step explanation:
A
Question
A deck of cards contains RED cards numbered 1,2 and BLUE cards numbered 1,2,3,4,5. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.
Drawing the Blue 2 is an example of which of the following events? Select all correct answers.
Select all that apply:
E′
R OR O
R AND E
B OR O
B AND E
R′
Answer:
I want to say it would be B and E because your drawing a blue 2, 2 is an even number first of all secondly its a blue card and B is the event of drawing a blue card In conclusion i believe its B and E
Step-by-step explanation:
evaluate the expression 8 ÷ t when t= 4
For what value of x do the expressions 2x +3 and 3x -6 have the same value?
Answer:
9
Step-by-step explanation:
2x+3=3x-6
3+6=3x-2x
9=x
Answer:
x= 9
Step-by-step explanation:
hello :
2x +3 = 3x -6
2x-3x=-6-3
-x= -9
so : x= 9
find 2 solutions to -x>10
Answer and Step-by-step explanation:
x < -10
All real numbers that are less than -10.
(-∞, -10)
#teamtrees #WAP (Water And Plant)
George, Arianna, and Carlos are going to mow the baseball field with push
mowers. By themselves, George can mow the field in 5 hours, Arianna
can mow the field in 6 hours, and Carlos can mow the field in 3 hours. If
the game is in 2 hours, can they get the field mowed in time?
Answer: Yes, they will have it mowed in 1 hour and 18 minutes
Step-by-step explanation:
Please do all of the attachments, quick. It is due please
First one with the right answer gets brainlest, and I will give extra points please.
Which is the product of 15 and
5
?
12
A.
5
5
12
B. 6
61
O
1
7.
12
O
o D. 78
Answer:
answer of above question is B. 6 1/4
Math Question for 50 points please help
Answer:
BStep-by-step explanation:
Your answer is B.
⚠︎ I HOPE YOU ARE DOING WELL ☻︎
HAVE A FANTASTIC DAY ꨄ︎
Answer:
The answer is B
Step-by-step explanation:
Its different from all the others
OK SOMEONE PEASE AWSNWER THISD
Martha drew a triangle with angle measures 60°, 60°, and 60°, and side lengths 6 cm, 6 cm, and 6 cm. What kind of triangle did Martha draw?
A. acute, equilateral
B. acute, scalene
C. right, isosceles
D. obtuse, scalene
Answer:
A
Step-by-step explanation:
hryhrhdvshzhsbdyxhdbdhxhbd
Answer:
A
Step-by-step explanation:
i dunno but its right! stay safe stay healthy <3
The domain of f(x)=cosx
must be restricted to all real numbers in order for the function to have an inverse function. The domain of g(x)=arccos(x)
is −1≤x≤1
and its range is 0≤x≤π
.
is this correct ?
Answer:
Not completely sure for the rest, but I believe the range is incorrect: the range represents y-values, not x-values.
So it should be 0 ≤ y ≤ π
Solve for x. (TYPE ONLY THE NUMBER FOR YOUR ANSWER).
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Answer:
x = 7
Step-by-step explanation:
The sum of angle measures in a quadrilateral is 360°.
(8x-5)° +107° +83° +119° = 360°
8x = 56 . . . . . . . divide by °, subtract 304
x = 7 . . . . . . . . . . divide by 8
Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yard
Answer:
27 square feet.
Step-by-step explanation:
Please Helppplpppppp
Which best represents the inequality?
Answer:
i think C
Step-by-step explanation:
If a rectangle has a length of 8 cm and a width of 12 cm what is the area
130° 20 C = degrees.
Answer:
hold on im trying to solve it
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
2(65) = 130
180-130 = 65
hope this helps plz mark brainliest!
an exterminator charge $80 to visit a home and $35 to spray each room. Of the total bill was $394, how many rooms were sprayed?
Answer:
The answer is $8.97 per room
Step-by-step explanation:
394-80=314
314 divided by 35=
$8.97
2x-3(x-1)=-1 solve by substitution
Answer:
-x+3
Step-by-step explanation:
Distribute -3:
2x-3x+3
Collect like terms:
-x+3
8.
Tom works 1 3/4 hours a day at a café. He is paid $8 an hour. How much
money is he paid in 10 days?
Answer:
1 3/4 x 8 = 14. In 10 days, he will be paid the amount of one day x 10. 14 x 10 = 140. Tom will be paid $140 in 10 days
Step-by-step explanation:
What is the perimeter of the rectangle given below?
pls help im confused im not smart
Write these decimals in order from least to greatest.
0.6 0.8 0.55 0.125 0.875
Then explain how you know.
Answer:
0.125, 0.55, 0.6, 0.8, 0.875
What is 4 x 1 1/2 x 2
Answer:
Step-by-step explanation:
4×1½×2 = 4×3 = 12
A serviceman with two children has monthly salary of Rs 22800. He has got tax free
allowance up to Rs 200000 and allowance of Rs 1500 for each child. 10% of his monthly salary is deposited in provident fund every month which is also tax free. 15% tax is levied on the taxable income up to Rs 50000 and 25% for the rest. How much tax should he pay in a year?
Answer:
answer below :) hope this helps!
Step-by-step explanation:
Amount invested in Civil investment fund= 10% of 96000 = [tex]\frac{10}{100}[/tex] x 96000 = 10 x 960= 9600
remaing taxable amount = =96000 -(75000+9600)
= 96000 - 84600
= Rs. 11400
Tax = 15% of 11400
= [tex]\frac{15}{100}[/tex] x 11400 = 15 x 114 = 1710
again, i hope this helps :)
Determine whether the sequence is geometric. If so, find the common ratio. 3.0, 6.0, 12.0, 24.0
Answer:
The sequence is geometric and the common ratio is 2
Step-by-step explanation:
A sequence is geometric if each term (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.
Examples: 1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.
Also, --> 4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because
4 * 1/2 = the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.
In this case, 3 * 2 = 6
6 * 2 = 12
12 * 2 = 24
The sequence is geometric and the common ratio is 2
Create a system of equations
Janet is 5 years older than her brother David. The sum of their ages is 27. How old are Janet and David
Answer with steps please
Answer:
Answer: Janet is 16, and David is 11.
Step-by-step explanation:
Let the ages be j and d.
j = d + 5
j + d = 27
Substitute d + 5 for j in the second equation.
d + 5 + d = 27
2d + 5 = 27
2d = 22
d = 11
Substitute 11 for d in the first equation.
j = d + 5
j = 11 + 5
j = 16
Answer: Janet is 16, and David is 11.
