Answer:
64/9
Step-by-step explanation:
(8/3) ^2
( 8/3) * (8/3)
64/9
64/9 is the answer <3<3 Hope this helps
PLEASE SOMEONE HELP! Thanksss
Answer:
Ф=144
Ф =s/r ( Ф is the central angle,s is the arc length, r is the radius)
find r:
radius =circumference/2π=1/2π=0.16
Ф=(2/5) /(1/2π)=4π/5=144 degree (π=180)
Ф in degrees: 144 degrees
How can systems of linear equations with two variables be solved using algebraic methods?
Answer: The systems are solved by solving for one variable in one of the equations, then substituting that equation into the second equation. Solve for a in the second equation, then substitute the second equation into the first. The Elimination Method: Both equations are in standard form: Ax + By = C.
Suppose you are designing a cardboard box that must have a volume of cubic feet. The cost of the cardboard is $ per square foot. What is the most economical design for the box (one that minimizes the cost), and how much will the material in each box cost?
Answer:
hello your question lacks some information below is the complete question
Suppose you are designing a cardboard box that must have a volume of 27 cubic feet. The cost of the cardboard is $0.15 per square foot. What is the most economical design for the box (one that minimizes the cost), and how much will the material in each box cost?
Answer : Box design , $8.1 ( cost of material in each box)
Step-by-step explanation:
Volume of cardboard box = 27 cubic feet
cost of cardboard = $0.15 square feet
i) The most economical design for the box would be Designing a square box because the dimensions of the box would be [tex]\sqrt[3]{27}[/tex] = 3 ft
ii) The cost of the material for each box can be calculated as
= surfaces * surface area * cost per square foot
= 6 * 3^2 * $0.15
= $8.1
Beatrice threw a stone one and seven fourteenths yards. Tilly threw a stone nine fourteenths of a yard. What is a reasonable estimate of the difference between their two throws?
Answer:
The difference between the two throws is 6/7 yards
Step-by-step explanation:
Beatrice throw=1 7/14 yards
Tilly throw=9/14 yards
Difference between the two throws=Beatrice throw - Tilly throw
=1 7/14 - 9/14
=21/14 - 9/14
= 21-9/14
=12/14
=6/7 yards
The difference between the two throws is 6/7 yards
A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 15, 5, 30, 50. The third column is labeled Y with entries 5, 8, 15, 28. The fourth column is labeled Z with entries 10, 7, 5, 22. The fifth column is labeled Total with entries 30, 20, 50, 100. Which two events are independent?
Answer:
hey! it's A and X on edge :)
Need help with this problem!
Answer:
1 Pound of Rock = .01 cubic feet
OR 100 pounds per cubic foot
A) Company needs 500,000 pounds of rock
Volume of Rock to be transported: = 500,000 * .01 =
5,000 cubic feet
B) Volume of each truck 12 * 9 * 8 = 864 cubic feet
C) Trucks needed for entire shipment:
= 5,000 / 864 = 5.78
So, we'll need 6 trucks.
Step-by-step explanation:
A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference between the two stores. Use the alphaequals0.1 level of significance. Complete parts (a) through (d) below. A B C D E F G H I J Store 1 5.94 7.47 3.79 1.74 1.73 2.88 4.75 3.15 2.92 3.77 Store 2 5.96 7.97 3.97 1.72 1.96 2.49 4.74 3.75 2.99 3.61
Answer:
There is no price difference between the two stores.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
In this case a paired t-test is used to determine if there is a price difference between the two stores.
The hypothesis for the test can be defined as follows:
H₀: There is no price difference between the two stores, i.e. d = 0.
Hₐ: There is a price difference between the two stores, i.e. d ≠ 0.
From the information provided the sample mean and standard deviation are:
[tex]\bar d=-0.464\\\\S_{d}=1.019[/tex]
Compute the test statistic value as follows:
[tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}=\frac{-0.464}{1.019/\sqrt{10}}=-1.4399\approx -1.44[/tex]
The test statistic value is -1.44.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
The degrees of freedom is:
n - 1 = 10 - 1 = 9
Compute the p-value of the test as follows:
[tex]p-value=2\cdot P(t_{\alpha/2, (n-1)}>-1.44)[/tex]
[tex]=2\cdot P(t_{0.10/2, 9}>-1.44)\\=2\times 0.092\\=0.184[/tex]
*Use a t-table.
The p-value of the test is 0.184.
p-value= 0.184 > α = 0.10
The null hypothesis was failed to be rejected.
Thus, it can be concluded that there is no price difference between the two stores.
please find the solution set of x+3>19-3x, where x is a real number
Answer:
[tex]x >4[/tex]
Step-by-step explanation:
[tex]x+3>19-3x[/tex]
Add 3x and -3 on both parts.
[tex]x+3+3x-3>19-3x+3x-3[/tex]
Combine like terms.
[tex]x+3x>16[/tex]
[tex]4x >16[/tex]
Divide 4 on both parts.
[tex]\frac{4x}{4} > \frac{16}{4}[/tex]
[tex]x >4[/tex]
Hawaii has an area of 1.1 x 104 square miles and a
population of 1.2 x 10% people.
Which key strokes on a calculator will give the population
density of Hawaii?
Answer:
A i think its a A try. it it that looks correct
Answer:
Its B, 1.2EE6/1.1EE4
Step-by-step explanation:
The density is 109.9, and this is the only equation that gives you this answer
i also took the test!
A college requires all freshmen to take Math and English courses. Records show that 24% receive an A in English course, while only 18% receive an A in Math course. Altogether, 35.7% of the students get an A in Math course or English course. What is the probability that a student who receives an A in Math course will also receive an A in English course
Answer:
7.3%
Step-by-step explanation:
Let M = Maths
E = English
P(M ∪ E) = P(M) + P(E) - P( M ∩ E)
From the question:
P(M ∪ E) = 35.7%
P(M) = 18%
P(E) = 24%
P( M ∩ E) = unknown
35.7% = 18% + 24% - P( M ∩ E)
35.7% = 42% - P( M ∩ E)
P( M ∩ E) = 42% - 35.7%
P( M ∩ E) = 7.3%
Therefore, the probability that a student who receives an A in Math course will also receive an A in English course is 7.3%.
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
6x+2y = 8
12x + y = 22
O A. (-1,1)
O B. (4,-4)
O C. (2,-2)
O D. (-3,3)
Answer:
A. (-1,1)
Step-by-step explanation:
6x+2y = 8
-2y =-2
6x=6
6x=6
X=1
Food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses.
H0: The food is safe.
Ha: The food is not safe
Based on the hypotheses above, Is the following statement a Type I or Type II error?
The sample suggests that the food is not safe, but it actually is safe.
a) Type I
b) Type II
Answer:
Type I error
Step-by-step explanation:
Here, we are interested in knowing the type of error that stems from the hypotheses set up
in the question.
From the suggestion of the sample, we know that the food is actually safe but was wrongly labeled as being unsafe.
So in this case, the type of error committed is the type 1 error since the food is actually safe but there was a wrong suggestion of being generally unsafe by the sample
A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (–6, –4) (0, –1) (0, –2) (2, 0)
Answer:
The solution of the system of equations is (x,y) = (2,0)
Step-by-step explanation:
The equation of a line through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to:
[tex]y-y_1=m(x-x_1)[/tex]
Where [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, the equation of the line through the points (3, 1) and (–5, –7) is:
[tex]m=\frac{-7-1}{-5-3}=1[/tex]
[tex]y-1=1(x-3)\\y=x-3+1\\y=x-2[/tex]
Then, we have two equations, y=x-2 and y=0.5x -1 , so solving for x, we get:
x - 2 = 0.5 x - 1
x - 0.5x = 2 - 1
x = 2
Replacing x=2 in the equation y=x-2, we get:
y =2 - 2 = 0
Finally, the solution of the system of equations is (x,y) = (2,0)
Answer:The solution of the system of equations is (x,y) = (2,0)
Step-by-step explanation:
Solve this problem n-6/-4=6
Answer:
N= 9/2
Step-by-step explanation:
Answer:
n = - 18Step-by-step explanation:
[tex] \frac{n - 6}{ - 4} = 6[/tex]
Cross multiply
We have
n - 6 = - 4 × 6
n - 6 = - 24
n = - 24 + 6
n = - 18Hope this helps you
Jennifer invested $302 in a simple interest account. The account earns 3.3%/year how much will Jennifer have in her account in 10 months??
Answer: $310.31
Step-by-step explanation:
Invested amount (P) = $302
Interest rate (r) = 3.3% per year
Period = 10 months
Recall, simple interest formula :
A = P(1 + rt) where ; A = final amount
Interest = 3.3% = 3.3/ 100 = 0.033
A = $302 ( 1 + 0.033(10/12))
A = $302 (1 + 0.033(0.8333333))
A = $302 ( 1 + 0.0275)
A = $302 ( 1. 0275)
A = $310.305
A = $310.31
WILL MARK BRAINLIESTT Ms. Barnes draws a pair of supplementary angles and tells the class that the angle measures are (4x + 30 )° and (2x + 6)° and asked them to write an equation to determine the value of x. Terrance wrote the equation 4x +30 = 2x + 6. Do you agree with Terrance? If so, what is the value of x? If not, what is the correct equation to find the value of x?
Answer:
Terrance is incorrect
Step-by-step explanation:
Supplementary angles add to 180 degrees
4x+30 + 2x+6 = 180
Combine like terms
6x+36 = 180
Subtract 36 from each side
6x+36-36 = 180 -36
6x =144
Divide by 6
6x/6 = 144/6
x =24
a two-digit number becomes 5/6 of the reversed number obtained when the digits are interchanged. The difference between the digits is 1. find the number
plz plz help me i wnt answer with full process pls help me plz plz pls.
==============================================
Work Shown:
T = tens digit
U = units digit (aka ones digit)
A number like 27 is really 20+7 = 2*10 + 7*1 = 10*2 + 1*7. We have 2 in the tens digit and 7 in the units digit. So 27 can be written in the form 10T + U where T = 2 and U = 7. Reversing the digits gives 72, so T = 7 and U = 2 now. Clearly the difference between the digits 7 and 2 is not 1, so 27 or 72 is not the answer (as it's just an example).
-----------------------
Let T be larger than U. This doesn't work if T = U.
Because T is larger, saying "The difference between the digits is 1" means T - U = 1. We can isolate T to get T = U+1. We'll use this later.
-----------------------
If T > U, then the original number 10T+U reverses to the new number 10U+T and it becomes smaller. We are told that it becomes 5/6 of what it used to be.
So,
new number = (5/6)*(old number)
10U + T = (5/6)(10T + U)
6(10U + T) = 5(10T + U)
60U + 6T = 50T + 5U
60U + 6(U+1) = 50(U+1) + 5U ... plug in T = U+1
60U + 6U + 6 = 50U + 50 + 5U
66U + 6 = 55U + 50
66U - 55U = 50-6
11U = 44
U = 44/11
U = 4 is the units digit of the original number
T = U+1
T = 4+1
T = 5 is the tens digit of the original number
The original number is therefore 10T + U = 10*5+4 = 54.
We see the difference in their digits is T-U = 5-4 = 1
The reverse of 54 is 45. The number 45 is 5/6 of 54
45 = (5/6)*54
After getting 10% discount a customer paid RS 2034 with 13% VAT to buy a bag from a retailer. If the retailer made a profit of 20%, by how many percent did he mark the price of the bag above the cost price?
Answer:
33.33%
Step-by-step explanation:
We are told that the customer paid Rs. 2034 after getting 10% discount with 13% vat on marked price (m.p.)
hence:-
2034 = m.p. × 90/100 × 113/100
m.p = (2034 × 100 × 100)/(90 × 113)
m.p. = Rs.2000
Now, due to the fact that VAT (which in this question is given to be 13%) is not the profit of the retailer, thus the selling price (s.p.) of the bag would be given by;
s.p = m.p. × 90/100
s.p = 2000 × 90/100
s.p = Rs. 1800
We are told that the retailer made a profit of 20%
Thus:-
c.p. × 120/100 = s.p.
c.p.= s.p. × 100/120
c.p.= 1800 × 100/120
c.p. = Rs.1500
Therefore, the percentage with which he marked above the c.p is;
% mark up = (m.p - c.p)/c.p) × 100
Plugging in the relevant values, we have;
(2000 - 1500)/1500) × 100
(500/1500) × 100 = 33.33%
I REALLY NEED HELP FOR THIS ONE
Answer:
A = 27(2√3-π) cm² ≈ 8.71 cm²Step-by-step explanation:
Area of shaded region it is area of hexagon minus area of circle.
A regular hexagon is comprised of six equilateral triangles (of the same sides).
So its area: [tex]A_1=6\cdot\dfrac{S^2\sqrt3}{4}=\dfrac{3S^2\sqrt3}2[/tex] {S = side of the triangle}
Height (H) of such a triangle is equal to radius (R) of a circle inscribed in the hexagon:
[tex]R = H = \dfrac{S\sqrt3}{2}[/tex]
Area of shaded region:
[tex]A=A_1-A_\circ=\dfrac{3S^2\sqrt3}2-\pi R^2=\dfrac{6S^2\sqrt3}4-\pi\left(\dfrac{S\sqrt3}2\right)^2=\dfrac{S^2(6\sqrt3-3\pi)}4[/tex]
S = 6 cm
so:
[tex]A=\dfrac{6^2(6\sqrt3-3\pi)}4=\dfrac{36(6\sqrt3-3\pi)}4=9(6\sqrt3-3\pi)=27(2\sqrt3-\pi)\ cm^2\\\\A=27(2\sqrt3-\pi)\ cm^2\approx8.71\ cm^2[/tex]
Round the following numbers to 1 significant figure:
a) 25 637
b) £2.51
c)9877 m
Answer:
b
Step-by-step explanation:
you need to round 2.51 to 3 because it was the correct answer
You and your sister are selling cookies to help raise money for your field trip. You start out with $24 and sells each bag of cookies, c, for $3. Your sister doesn’t start out with any money but sells her bags of cookies for $5 each. How many bags of cookies must they sell in order for them to raise the same amount of money?
Answer:
12 bags of cookies.
Step-by-step explanation:
Since you already start out with $24, you will have a y-intercept of 24. Your slope will be 3, since each bag sells for $3.
Your equation will be y = 3c + 24.
Your sister does not start out with money, so she will have a y-intercept of 0. Her slope will be 5, as each bag sells for $5.
Her equation will be y = 5c.
Since y = y, you can set the two equations equal to each other.
3c + 24 = 5c
5c = 3c + 24
Subtract 3c from both sides
2c = 24
Divide both sides by 2
c = 12
So, they must sell 12 bags of cookies to raise the same amount of money, $60. Yum!
Hope this helps!
Helppppppppp I need answer❤️❤️❤️
Answer:
c. (3x^2-1)(x-7)
Step-by-step explanation:
=(3x^3-21x^2)+(-x+7)
=-(x-7)+3x^2(x-7)
=(3x^2-1)(x-7)
The vertices of a triangle are A(0,3) B(-2,-4) and C(1,5) find the new vertices
Use the rule (x,y) (x-2,y+4) to translate each vertex.
Answer:
see explanation
Step-by-step explanation:
Using the translation rule (x, y ) → (x - 2, y + 4 )
Subtract 2 from the original x- coordinate and add 4 to the original y- coordinate, thus
A(0, 3 ) → A'(0 - 2, 3 + 4 ) → A'(- 2, 7 )
B(- 2, - 4 ) → B'(- 2 - 2, - 4 + 4 ) → B'(- 4, 0 )
C(1, 5 ) → C'(1 - 2, 5 + 4 ) → C'(- 1, 9 )
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy
material.
0.5 m
? m
1 m
What is the length of the pillow?
Give an exact answer (do not round).
HELP PLEASE
Complete Question
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m³ of fluffy
material. The base is 0.5m² and the height is 1m.
What is the length of the pillow?
Give an exact answer (do not round).
Answer:
1.4m
Step-by-step explanation:
A wedge comes in the shape of a Triangular prism. Hence,
Volume of a wedge(Triangular prism) = 1/2 × B × H × L
b = 0.5m
h = 1 m
l = ??
Volume of a wedge = 0.35m³
0.35 = 1/2 × 0.5 × 1 × L
0.35 = 0.25 × L
L = 0.35/0.25
L = 1.4m
Which equation represents a line that passes through (-9, -3) and had a slope of -6?
Answer: -6y= -3x-9
Since the slope is -6
y will be -6y
and the rest is -9, -3x
which ordered pair is a solution of the equation -3x+5y=2x+3y PLEASE HELP ASAP
Answer:
Every pair where y is equal x multiplied by 2.5for exapmle: (2, 5) {5=2•2.5}
(8, 20) {20=8•2.5}
(-5, -12.5} {-12.5=-5•2.5}
Step-by-step explanation:
-3x + 5y = 2x + 3y-3y+3x -3y+3x
2y = 5x÷2 ÷2
y = 2.5xAnswer:
neither
Step-by-step explanation:
The function h(x) is defined as shown. h(x) = StartLayout Enlarged left-brace 1st row 1st column x + 2, 2nd column x less-than 3 2nd row 1st column negative x + 8, 2nd column x greater-than-or-equal-to 3 EndLayout What is the range of h(x)? –∞ < h(x) < ∞ h(x) ≤ 5 h(x) ≥ 5 h(x) ≥ 3
Answer: B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Anyone, I need help... Just answer the 6 (c)....and also proper working.☺️
Answer:
(i) The area of the rabbit cage when the width is 5.2 m is 81.5 m²
(ii) The area of the rabbit cage if Wilson has 40 meters of wire mesh is 75 m²
Step-by-step explanation:
(i) The given relation of the area, A to the width P of the rabbit cage is A = 3·p²
The graph of the function between the values of 0 and 6 inclusive is found as follows;
A, 3·p²
0, 0
1, 1
2, 12
3, 27
4, 48
5, 75
6, 108
Please find attached the graph of A to 3·p²
From the graph, we have when the the width, p, of the rabbit cage = 5.2, the area, A ≈ 81.5 m²
The area of the rabbit cage when the width is 5.2 m = 81.5 m²
(ii) Also from the graph given that the total wire mess with Wilson = 40 meters, we have;
The formula for the perimeter of the cage = The formula for the perimeter of a rectangle = 2×length + 2×width
The formula for the perimeter of the cage = 2×3×p + 2× p = 8·p
Where the total length of the wire mesh available = 40 meters for the cage
The 40 meters of wire mesh will be used round the perimeter of the cage
∴ 40 m. = 8·p
p = 40/8 = 5 m.
At p = 5 m. the area is given as A = 75 m².
Therefore, the area of the rabbit cage if Wilson has 40 meters of wire mesh = 75 m².
Find the interquartile range for a data set having the five-number summary: 3.5, 10.4, 16, 21.7, 27.7
Answer: 17.75
Step-by-step explanation:
The interquartile range(IQR) is the 3rd quartile - the 1st quartile.
How to get quartiles:
First get the median:
3.5, 10.4, 16, 21.7, 27.7
10.4, 16, 21.7
16
Then find the median of the first half of data(3.5, 10.4)
(3.5+10.4)/2 = 6.95
Then find the median of the last half of data(21.7, 27.7)
(21.7+27.7)/2 = 24.7
Then to get the IQR subtract 6.95 from 24.7 to get 17.75
Hope it helps <3
Answer11.3
Step-by-step explanation:
Since there is an odd amount of values
find you lower median by taking the 3 lower numbers and using the middle number 10.4 (Q1)
then find your higher median with the 3 higher numbers and using the middle number 21.7 (Q3)
Then subtract Q3 - Q1
21.7-10.4 giving you the answer 11.3
WILL MARK BRAINLIEST!!! PLZ HELP!!!
Answer:
x= -5
Step-by-step explanation:
The solution of f(x) = g(x) is where both functions intercept
they intercept in x = -5