Answer:
192 ft
Step-by-step explanation:
Number of curtains = 64
Length of each curtains = 36 inches
Total length of curtains = Number of curtains × Length of each curtains
= 64 × 36 inches
= 2,304 inches
1 inch = 1/12 foot
2,304 inches = 2,304 / 12 ft
2,304 inches = 192 ft
She will need 192 ft of the fabric to make 64 curtains each of length 36 inches
Surface area of image
The surface area of the cuboid is 3.286 cm²
What are the surface area of a cuboid?A cuboid is a solid shape or a three-dimensional shape.
Surface area is the amount of space covering the outside of a three-dimensional shape.
The surface area of a cuboid is expressed as;
SA = 2( lb + lh + bh)
length = 1 2/5 = 7/5
breadth = 5/8
height = 3/8
lb = 7/5 × 5/8 = 7/8
bh = 5/8 × 3/8 = 15/64
lh = 7/5 × 3/8 = 21/40
surface area =2( 7/8 + 15/64+21/40)
= 2( 0.875 + 0.234 + 0.525)
= 2( 1.634)
= 3.268 cm²
The surface area of the cuboid is 3.268 cm²
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What is the solution of the inequality shown a-1>11
Answer:
a > 12
Solutions can be anything over 12
Step-by-step explanation:
Well this one is pretty simple we just add 1 to both sides so the inequality turns into,
a > 12
Answer:
\(a>12\)
Step-by-step explanation:
\(a-1>11\)
Add \(1\) on both sides.
The \(a\) variable must be isolated on one side.
\(a-1+1>11+1\)
\(a>12\)
You are dealt one card from a standard 52-card deck. Find the probability of being dealt in a queen?
Answer:
1/13 or 7.69%
Step-by-step explanation:
A standard 52 card deck has 4 queens. So the probability of being dealt a queen is:
P(Queen) = 4/52
= 1/13
The probability is 1/13. To find the percent, divide 1÷13 and then times by 100.
1÷13 = 0.0769
0.0769× 100 = 7.69
This is 7.69%
The diameter of a circle is 3 1/2m, what is the radius?
Answer:
1,75 m
Step-by-step explanation:
The radius is by definition half of the diameter and so the half of 3.5 m is 1.75 m
Answer:
1.75m
Step-by-step explanation:
d=3 ½
r=d÷2
so 3 ½ ÷ 2= 1.75
Alyssa has saved up throughout the year and currently has $144.Of that she spent 5/8 at her favorite store.How much money did Alyssa spend at her favorite store?
Alyssa spent $90 at her favorite shop.
It has to do with algebra.
Describe algebra.the area of mathematics where numbers and quantities are represented in formulas and equations by letters and other generic symbols. There are several sub-branches of algebra, including commutative algebra, abstract algebra, linear algebra, and elementary algebra.
Alyssa currently possesses $144.
She spent 5/8 of that amount at her favorite store.
= (5 * 144) ÷ 8
After solving, we obtain the value $90.
As a result, Alyssa spent $90 at her favorite retailer.
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5) find the value of x and y
Answer:
x = 45°, y= 5°
Step-by-step explanation:
x = 9y
90+2x = 180
2x = 90
x = 45
so x = 45
9y = 45
y = 5
The following dot plot represents student scores on both the Unit 1 and Unit 2 math tests. Scores are in whole number increments.
Part 1: Looking at the data plots, which test do you think the students scored better on? Do you think one of the tests has more variation than the other or is the variation about the same for both tests? Use complete sentences in your answer and explain your reasoning.
Part 2: Calculate the mean (rounded to the nearest whole number) and mean absolute deviation for the Unit 1 test.
Part 3: Do your results from part B prove or disprove your hypotheses from part A? Use complete sentences in your answer and explain your reasoning.
The results from Part B support the hypothesis from Part A, indicating that the students scored better on the Unit 1 test and that the Unit 1 test has more variation than the Unit 2 test.
Part 1: Looking at the data plots, it appears that the students scored better on the Unit 1 test than on the Unit 2 test. The Unit 1 test has more variation than the Unit 2 test, as there are more scores clustered towards either end of the scale, with fewer scores in the middle.
Part 2: The mean of the Unit 1 test is 77 and the mean absolute deviation is 11. This was calculated by adding up all of the scores and dividing by the total number of scores, which was 11. The mean absolute deviation was calculated by subtracting the mean from each score, taking the absolute value, and then taking the average of all of the absolute values.
Part 3: The results from Part B do support the hypothesis from Part A, as the mean score for the Unit 1 test is higher than the mean score for the Unit 2 test, as well as the mean absolute deviation for the Unit 1 test is higher than the mean absolute deviation for the Unit 2 test. This indicates that the Unit 1 test has more variation than the Unit 2 test, suggesting that the students scored better on the Unit 1 test.
The results from Part B support the hypothesis from Part A, indicating that the students scored better on the Unit 1 test and that the Unit 1 test has more variation than the Unit 2 test.
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which quadrilaterals always have diagonals that bisect opposite angles
Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost $28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy? How many shirts did she buy?
Answer:
3 pants and 5 shirts
Step-by-step explanation:
x+y=8
28x+12y=144
-12x-12y=-96
16x=48
x=3
Dad is getting food ready for my birthday party! Including me, there will be 16 people at the party. Dad is baking cookies for us! He can bake 20 cookies per batch.
How many batches should I tell Dad to make so we can each have 3 cookies?
Answer:
he has to cook 3 batches of cookies
Can anyone please help me??
Among fatal plane crashes that occurred
during the past 65 years, 260 were due to
pilot error, 62 were due to other human
error, 315
were due to weather, 682 were due to
mechanical problems, and 313 were due to
sabotage.
Fill in the relative frequency for each
category. Write answers in percentage
form and round to one decimal place as
needed. Do not include the percent
symbol.
The relative frequency are
i) Pilot error = 15.9 percent
ii) Human Error =3.8 percent
iii) Weather = 19.3 percent
iv) Mechanical problem = 42 percent
v) Sabotage = 19.2 percent
The formula for the relative frequency is = f/n
Where, f = the number of times the data occurred in an observation
n = total number of observations.
If we have to convert it into percentage form we will multiply it by 100
Thus we have been given that
Crashes due to pilot error = 260
Crashes due to other human error = 62
Crashes due to weather = 315
Crashes due to mechanical problem = 682
Crashes due to sabotage = 313
Total number of errors occurred = 260+62+315+682+313
= 1632
Hence, the relative frequency are
i) Pilot error = 260/1632 * 100 = 15.9 percent
ii) Human Error = 62/1632 * 100 =3.8 percent
iii) Weather = 315/1632 * 100 = 19.3 percent
iv) Mechanical problem = 686/1632 * 100 = 42 percent
v) Sabotage = 313/1632 * 100 = 19.2 percent
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Rosita mom is 42 years old she is six times as old as Rosita. The equation 6a=42 can be used to find Rosita age .A. 36 B. 7C. 48D. 8
We have the next equation
42=6a
we need to clear a
a=42/6
a=7
the answer is 7
For which value of a does 4 = a +| x – 4| have no solution?
-6
0
4
6
Answer:
a = 6
Step-by-step explanation:
Hello!
First, let's isolate the Absolute Value bracket.
4 = a + |x - 4|4 - a = |x - 4|Based on the definition of Absolute value, the outcome should always be a positive number. Therefore, if the product, 4 - a, is a negative number, it will have no solutions.
That means a has to be greater than 4 for it to be negative. a should be 6.
a = 6
a) find the area above 66 for a n(60,10) distribution b) find the area below 48 for a n(60,10) distribution.
In normal distribution the area above 66 for a n(60, 10) is 0.726
What is normal distribution?
In probability theory and statistics, the Normal Distribution, which is also called the Gaussian Distribution, is the most significant continuous probability distribution. It is also called a bell curve. In this distribution a large number of random variables are either nearly or exactly represented. Moreover, it can be used to approximate other probability distributions,
From the given data n(60, 10) so mean = 60 and standard deviation= 10
Now x≥ 66
so the z-score will be (66-60)/10
= 6/10
= 0.6
Now P(z>0.6)= 1- P(z< 0.6)
= 0.726
So, in normal distribution the area above 66 for a n(60, 10) is 0.726.
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The basketball team scored a total of 109 points last game. They made a total of 47 shots, including 2-point shots and 3-point shots. how many 2-point shots did they make? How many 3-points did they make?
[please include steps]
Based on the above, the number of 3-points that they make is 25.
What is the Simultaneous equation about?Simultaneous equation is a form of two equations that have to be solved at the same time. Thus, the number of 2 points made is 17, while that of 3 points is 25.
A set of equations that has to be solved simultaneously so as to determine the values of the unknown variables is termed simultaneous equation.
The given question would result to a simultaneous equation as follows;
let the number of 2 points made by represented by m, and that of 3 points by n.So that;
m + n = 42 ..................
i2m + 3n = 109 ...............
ii multiply equation 1 by 3 and equation 2 by 1 to have;3m + 3n = 126 ............
iii 2m + 3n = 109 .............
iv subtract eqaution iv from iii
m = 17
substitute the value of m in equation 1 to have:
m + n = 4217 + n = 42n = 42 - 17 = 25m = 17, n = 25
Thus the number of 2 points made was 17, while that of 3 points made was 25.
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Find cot 0 if tan 0 = 2
Answer:
1/2
Step-by-step explanation:
cot0=1/tan0
plug in tan0=2
cot0=1/2
A student drops a 350-gram rock and a 500-gram rock into a pool from a height of 8 meters. Which statement about the
investigation is accurate? (1 point)
O The 350-gram rock causes a larger splash because it has less mass.
O The 350-gram rock causes a smaller splash because it has more kinetic energy.
O The 500-gram rock causes a larger splash because it has more kinetic energy.
The 500-gram rock causes a smaller splash because it has more mass.
Answer:
Step-by-step explanation:
Answer:The 500-gram rock cause a larger splash because it has more kinetic energy!
someone answer please!
So on solving the provided question, we can say that in this triangle,
angle B = 90, AC = 13; AB = x 10
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
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here, in this triangle,
angle B = 90
AC = 13
so by Pythagoras theorm
AB = x 10
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If fx) = 6x+ 2, which of the following values would complete the table shown?
16 and 64
O O and 1
64 and 70
O 14 and 50
Answer:
14 and 50
Step-by-step explanation:
What is the answer to this question?
Answer:
Step-by-step explanation:
D
write a numeral with 6 nines whose value is 100. no operation symbols may be used, but a decimal point or fraction bar may be used
Numeral with 6 nines, whose value is 100:
999/9.99=100
Numeral with 6 nines having 100 value, no operation symbols may be used, but a decimal point or fraction bar may be used.
Possible solution for a numeral with 6 nines whose value is 100 is:
999/9.99
=100
For numeral here no operation symbol is used but a decimal point and a fraction bar has been used.
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OL ⊥ ON start overline, O, L, end overline, \perp, start overline, O, N, end overline \qquad m \angle LOM = 3x + 38^\circm∠LOM=3x+38 ∘ m, angle, L, O, M, equals, 3, x, plus, 38, degrees \qquad m \angle MON = 9x + 28^\circm∠MON=9x+28 ∘ m, angle, M, O, N, equals, 9, x, plus, 28, degrees Find m\angle LOMm∠LOMm, angle, L, O, M:
Answer:
44°Step-by-step explanation:
If side OL is perpendicular to ON i.e OL ⊥ ON, then angle ∠LON = 90°. If the is another line OM projecting from O with ∠LOM= (3x+38)° and ∠MON= (9x+28)°, then ∠MON + ∠LOM = ∠LON
Substituting the given angles int the expressions above to calculate the value of x;
(9x+28)° + (3x+38)° = 90°
12x+66 = 90°
12x = 90-66
12x = 24
x = 2°
Since ∠LOM= (3x+38)°, to get the value of the angle, we will substitute x = 2° into the expression as shown;
∠LOM= (3(2)+38)°
∠LOM= 6+38
∠LOM= 44°
Hence the measure of angle LOM is 44°
Answer: LOM = 44°
Step-by-step explanation: it’s right on khan academy (picture for proof)
I need this please and the steps
Step-by-step explanation:
We can use the distance formula. Solution shown below. I hope this helps! :)
if we want to test for the significance of the model, the critical value of f at a 5% significance level is
To test for the significance of the model at a 5% significance level, the critical F value must be determined using the degrees of freedom and the F distribution table or statistical software. The calculated F value is then compared to the critical F value to determine if the model is statistically significant.
The significance of a model is determined by comparing the calculated F value to the critical F value at a given significance level. The critical F value is determined by the degrees of freedom for the numerator and denominator, and the significance level.
At a 5% significance level, the critical F value can be found using a F distribution table or a statistical software. The critical F value will be the value at which 95% of the F distribution falls below it, and 5% falls above it.
For example, if the degrees of freedom for the numerator are 2 and the degrees of freedom for the denominator are 10, the critical F value at a 5% significance level would be 4.10. If the calculated F value is greater than the critical F value, the model is considered to be statistically significant at the 5% level.
In conclusion, to test for the significance of the model at a 5% significance level, the critical F value must be determined using the degrees of freedom and the F distribution table or statistical software. The calculated F value is then compared to the critical F value to determine if the model is statistically significant.
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If Logan walks 7/8 mile in each 1/3 hour, how fast is he walking?
Answer:
2.625 miles per hour
Step-by-step explanation:
We Know
Logan walks 7/8 mile each 1/3 hour.
How fast is he walking?
We Take
7/8 x 3 = 21/8 = 2.625 miles per hour
So, he walks at 2.625 miles per hour.
Find values of m so that the function y xm is a solution of the given differential equation. x^2y''-7xy' 15y=0
If \(y=x^m\) is a solution to the ODE
\(x^2 y'' - 7xy' + 15y = 0\)
then substituting \(y\) and its derivatives
\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)
gives
\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)
\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)
\((m(m-1) - 7m + 15)x^{m} = 0\)
We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).
\(m(m-1) - 7m + 15 = 0\)
\(m^2 - 8m + 15 = 0\)
\((m - 3) (m - 5) = 0\)
\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)
Which expression is equivalent to
5-1/5-2
Answer:
5
Step-by-step explanation:
(1/5)/(1/25) = 25/5 =5
negative exponents means the numbers flip
Answer:
4/3 I think hope it works
Find the expression that represents the
value of v.
2(v - 8) = n+y
Answer:
\(v = \frac{n+y+16}{2}\)
Step-by-step explanation:
2(v-8) = n+y
Distribute
2v-16 = n+y
Move -16 to the other side
2v = n+y+16
Divide everything by 2
\(v = \frac{n+y+16}{2}\)
Answer:
\(v = \frac{n+y}{2} +8\)
Step-by-step explanation:
To find the expression that represents v, we have to isolate v. Our first step is distributing the 2 to both v and 8.
(2(v) - 2(8))
2v - 16 = n + y
Now add 16 to both sides.
2v = n + y + 16
Now divide both sides by 2, this will isolate v and give us the initial value of it.
\(v = \frac{n+y}{2} +8\)
Please help
Isolate a variable in each system. You may need to use the distributive property to simplify the equation. Show your work.
Answer:
it's true, not false.
Step-by-step explanation:
it's true, not false.