Answer:
11 17/50 hours
Step-by-step explanation:
first sweater,
14 hours
second sweater,
14hours × 90%=12 3/5 hours
third sweater,
12 3/5 hours × 90%=11 17/50 hours
11.3 hours is the time taken by the student to knit the third sweater. Option B is correct.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
A student is knitting sweaters to give as gifts. The time it takes the student to knit each sweater is 10% less
than the time it took the student to knit each previous sweater. It took the student 14 hours to knit the first
sweater
For first sweater it took 14 hours.
For second sweater it took 10% less time that first sweater
10/100×14=1.4 hrs
14 hrs-1.4 hrs
12.6 hrs.
For second sweater it took 12.6 hours.
For third swaeter it took 10% less time than second sweater.
12.6×0.1=1.26
Now 12.6-1.26=11.3
It took 11.3 hrs for third sweater.
Hence 11.3 hours is the time taken by the student to knit the third sweater. Option B is correct.
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135 pencils were to be packed into boxes. Each box could take 12 pencils. find the number of boxes fully packed
Answer:
11 boxes are packed fully
Using the results from a survey of 1050 elibible voters, an approximate 98% confidence interval estimate for the proportion of voters who claimed to have voted in the last presidential election was (0.61,0.678). Links to statistical tables:
NormalTable_Negz
NormalTable_Posz
Table_Df1-35
Table_D136+
Required:
What is p rounded to three decimal places?
Answer: p= 0.644
Step-by-step explanation:
We know that, the confidence interval for population proportion is given by :-
sample proportion(p) ± Margin of error(E)
Given confidence interval : (0.61,0.678)
i.e. p- E = 0.61 ... (i)
p+E = 0.678 ...(ii)
Adding (i) and (ii), we get
2p = 1.288
p= 0.644
From (ii),
E= 0.678-0.644
E= 34
Hence, the value of p = 0.644
I don’t know how to do this
Answer:
Alrighty, let me help.
Step-by-step explanation:
2 2/9 - 1 1/3 = x
X = 8/9
Answer = 8/9 or the 3rd option.
Answer:
8/9
Step-by-step explanation:
2 2/9 - 1 1/3
Multiply: –5 × (–3) × 7
Answer:
the ans is 105...........
Answer:
105
Step-by-step explanation:
-5*-3=15
15*7=105
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answer:
the range of the functions is all real numbers less than or equal to 9
3t-s/4=8s what is s in terms of t?
Answer:
s = 12t/33
Step-by-step explanation:
multiply through by 4 In order to remove the denominator from the equation
12t - s = 32s
making s the subject
32s + s = 12t
33s = 12t
s = 12t/33
A car is 180 inches long.A truck is 75% longer than the car
How long is the truck?
Solve for x.
[tex] \frac{6}{x - 3} - \frac{12}{x + 1} = 1 [/tex]
Use the digits 0-9 to enter the solution with the greatest value.
Answer:
[tex]\boxed{x=5},x=-9[/tex]
Step-by-step explanation:
To rid the denominators, multiply both sides by [tex](x-3)(x+1)[/tex].
We get:
[tex]6(x+1)-12(x-3)=(x-3)(x+1)[/tex]
Simplifying, we have:
[tex]6x+6-12x+36=x^2-3x+x-3,\\-6x+42=x^2-2x-3,\\x^2+4x-45=0[/tex]
Solving, we get:
[tex]x^2+4x-45=0,\\(x-5)(x+9)=0,\\x=5,x=-9[/tex]
Therefore, the solution with the greatest value is [tex]x=\boxed{5}[/tex]
8g=36 solve for the variable
Answer:
g = 4.5
Step-by-step explanation:
8g = 36
g = 36/8
g = 4.5
Calculate the price relative
Answer:
146.3
Step-by-step explanation:
The price relative is the product of 100 and ratio of the current price to the base price. It is given as:
[tex]Price\ relative=\frac{P_n}{P_o}*100\\\\Where\ P_n\ is\ the \ price\ of\ commodity\ in\ the\ current\ period\ while\ P_o\ is\\the\ price\ of\ commodity\ in\ base\ period.[/tex]
Given that the base price is the truck cost in 2008 = $27000 and the current price is the price of the truck in 2012 = $39500. Hence:
Price relative = ($39500 / $27000) * 100 = 146.3
Therefore the price relative is 146.3
convert 1 to 1000 in roman numbers
Wyatt scored 104 points in a trivia game. He correctly answered 26 questions during the game. How many points did he score per question?
PLEASE DONT ONLY WRITE THE ANSWER ALSO WRITE HOW TO GET IT PLS I WILL GIVE BRAINLIEST
Answer:
4
Step-by-step explanation:
- the rule is: (number_of_questions)*(points_per_question)=total_score.
- according to the rule above: 26*(points_per_question)=104, then
points_per_question=104/24=4.
y = 2x - 14
x + y = 1
Describe & correct the error in writing the statement of the tangent ratio for the given figure
Answer:
Step-by-step explanation:
tan k=opposite /adjacent
tan k=32/24
The correct statement of the tangent ratio for the given figure is,
⇒ tan k = 32 / 24
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees
Given that;
A triangle is shown in figure.
Now, By figure of triangle;
tan k = Opposite / Base
tan k = 32 / 24
Thus, The correct statement of the tangent ratio for the given figure is,
⇒ tan k = 32 / 24
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Do the ratios 8/ 5 and 11 /6 form a proportion?
Answer:
no they don't
hope this helps
have a good day :)
Step-by-step explanation:
$8.35
D $9.35
42. A museum announces that it has just
had its 1.326,871 visitor. What is the
value of the digit 6 in 1,326.871?
А
6.000
B
60.000
600.000
D 6.000.000
Answer:
6000
Step-by-step explanation:
The Value of 6 is in the thousands column
ABCD is a parallelogram.
Angle CDA is 56°
What is the measure of angle ABC?
Answer:
Step-by-step explanation:
angle CDA = angle ABC (opposite angles of a parallelogram are equal)
56 degree = angle ABC
therefore angle ABC is 56 degree.
1. Sharon is a good student who enjoys statistics. She sets a goal for herself to do well enough compared to her peers so that her standardized score on her Statistics final is equal to her percentile rank (written as a decimal) among her classmates. What goal did she set for herself
The available options are:
(A)0.25
(B)0.78
(C)1.09
(D)2.25
(E)2.41
Answer:
(B)0.78
Step-by-step explanation:
Given the fact that percentile rank is usually between 0 to 100. Hence, considering the available options, the 100th percentile would be converted to 1.0 when representing the percentile into decimal places.
Since it is logically and mathematically impossible to go beyond the 100th percentile, hence, the option C, D, and E are wrong.
Also, since Sharon hoped to get a score well enough compared to her peers, then the correct answer is 0.78 which can be translated to 78 percentile. Because 0.78 is a better score than 0.25 or 78 percentile is better than 25 percentile because 78 percentile means she scored better than 78 percent of all the test takers.
Hence, the right answer is in this case is 0.78
What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
X
12
D 4 B
A. 3.1
O
B. 12
C. 6.9
O D. 4
Answer:
O A. 3.1
Step-by-step explanation:
it's correct if I'm rwong (*´ω｀*)
Answer: The answer is C. 6.9
Step-by-step explanation:
is 11/8 a rational or irrational number ??
Answer:
Rational number
Step-by-step explanation:
Rational numbers can be written in a way where the entire number is displayed.
Irrational numbers will look a little "weird." They will have a square root or greek letter (such as π) because you cannot display the entire number. It would take forever to write out the number π (3.14159...). So we just use a symbol. That makes it an irrational number.
11/8 is the rational number not a irrational number.
The given number is 11/8.
What are irrational numbers?Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.
The decimal expansion of a given number is
11/8 =1.375
The decimal expansion is terminating decimal number
Therefore, 11/8 is the rational number not a irrational number.
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What is the probability that the sun will be hot next hour
Answer:
100%
Step-by-step explanation:
its always very very hot.
Multiply. (3x - 2) (2x + 6)
Answer:
the answer is 6ײ+14x-12
how do you do this equation?
Answer:
y = 2x + 2
Step-by-step explanation:
General point-slope form:
point = (x1,y1) = (1,4)
slope = m = 2
y-y1 = m(x-x1)
Substitute values
y - 4 = 2 (x-1)
y = 2x -2 + 4
y = 2x + 2
A construction crew is using heavy equipment to dig a hole in which the foundation of a house will be built. The hole
will be in the shape of a right rectangular prism with dimensions of 4 feet in depth, 100 feet long, and 50 feet wide.
The soil will be removed using a truck that can hold a maximum of 40,000 pounds. The soil weighs 90 pounds per
cubic foot. What is the least number of truckloads needed to remove all of the soil?
Answer: 5
Step-by-step explanation: volume of hole = 100x50x4=20,000 ft
soil weighs : 20000x90=180,000 pounds
180,000 divided by 40,000 = 4.5 ≈ 5
So the least number of truckloads is 5
4. One bag of marbles contains 2 black, 3 red , and 5 white marbles. A second bag contains 3 white and 2 black marbles. What is the probability of selecting one marble from each bag and that both are white ?
Answer:
not too sure
Step-by-step explanation:
.
Simplify the expression.
(–2 – c )(–1)
Answer:
=c+2
Step-by-step explanation:
Solve 2(x+5)=18+xanswer?!
Answer:
x=4
Step-by-step explanation:
1. Divide both sides of the equation by 2
x+5=9
2. Move the constant to the right -hand side and change its sign
x=9-5
3. Subtract the numbers
x=4
Find the surface area of the prism. Round the final decimal answer to the nearest tenth if necessary.
Answer:10.6
Step-by-step explanation:
This year, a small business had a total revenue of $18,700. If this is 15% less than their total revenue the previous year, what was their total revenue the previous year?
Answer:
The business's total revenue the previous year was $22,000.
Step-by-step explanation:
Since the business's revenue is 15% less than it was the previous year, we can subtract that 15% from 100% to see what percentage of last year's revenue is the business getting now.
100% - 15% = 85%
So the business is getting 85% of what it got last year. We also know that this small business is getting $18,700 this year.
So really, this question is asking 18,700 is 85% of what?
Y = P% of WHAT?
18,700 = 85% of X
18,700 = 0.85 · X
Now that we have set this equation up, we solve for x. To get x alone, you must divide by 0.85 on both sides.
18,700 ÷ 0.85 = 0.85 · X ÷ 0.85
Simplified, this is 22,000 = X
So their total revenue the previous year was $22,000.
This is not the only way to do this - there are others, but this is one of the easiest to understand is more efficient.
Answer:
$21,505
Step-by-step explanation:
$18,700×115%=$18,700×115/100
=$21,505
The mean length of 6 rods is 44.2 cm. The mean length of 5 of them
is 46 cm. How long is the sixth rod?
===============================================
Work Shown:
x = sum of all 6 lengths
x/6 = mean of the 6 lengths
x/6 = 44.2
x = 6*44.2
x = 265.2
All 6 lengths add up to 265.2 cm.
---------
y = sum of the first 5 lengths
y/5 = mean of those first 5 lengths
y/5 = 46
y = 5*46
y = 230
The first five lengths add up to 230 cm.
---------
z = length of the 6th rod, length is in cm
y+z = (length of first 5 rods)+(length of 6th rod)
y+z = x
230+z = 265.2
z = 265.2-230
z = 35.2
The sixth rod is 35.2 cm