Answer:
16
26
48
Step-by-step explanation:
x + y + z = 90
z = x - 10 => x = z + 10
y = 3z
=>
(z+10) + 3z + z = 90
5z + 10 = 90
5z = 80
z = 16
x = z + 10 = 16 + 10 = 26
y = 3z = 3×16 = 48
a school held a tennis tournament. after each round one fourth of the players were eliminated. if there were 64 players at the start of the tournament, which equation models the number of players left after 6 rounds
Answer:
If there are 32 teams in the tournament and 1 winner, there were 31 games. So, 63 - 31 = 32 games.
Step-by-step explanation:
you would do 64/1 • 1/4 to get 16 so every round 16 people would leave.
which exponential equation is equivalent to this logarithmic equation?
Answer:
the answer is A
Step-by-step explanation:
[tex] log_{x}(5 \times 12 ) = 7 \\ \: then \: log_{x}(60) = 7 \\ \: then \: {x}^{ log_{x}(60) } = {x}^{7} \\ {x}^{7} = 60[/tex]
List the coefficients in the row of Pascal's triangle corresponding to n = 7.
9514 1404 393
Answer:
1 7 21 35 35 21 7 1
Step-by-step explanation:
Numbering from k=0 to k=7, the k-th coefficient in the row is ...
C(7, k) = 7!/(k!(7-k)!)
You know the first two in row 7 are 1 and 7. There are 8 in the row, and the row is the same forward and backward. This means you only need to find C(7, 2) and C(7, 3). These are ...
C(7, 2) = 7!/(2!(5!)) = 7·6/(2·1) = 21
C(7, 3) = 7!/(3!(4!)) = 7·6·5/(3·2·1) = 35
So, row 7 is ...
1, 7, 21, 35, 35, 21, 7, 1
An ornithologist has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders. She recorded data for a sample of 300 recent visits. Here are the results:
Feeder 1 2 3 4
Observed visits 60 90 92 58
A test is performed to determine if these results suggest that birds visit one specific feeder more often than the other feeders. What is the xa test statistic?
a. 13.71
b. 0
c. 14.37
d. 3
e. 1028
Answer:
the x² test statistic 13.71
Option a) 13.71 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Feeder 1 2 3 4
Observed visits; [tex]o_i[/tex] 60 90 92 58
data sample = 300
Expected [tex]e_i[/tex] = 300 / 4 = 75
the x² test statistic = ?
[tex]X^2_{stat[/tex] = ∑[ ([tex]o_i[/tex] - [tex]e_i[/tex])²/[tex]e_i[/tex]]
[tex]X^2_{stat[/tex] = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]
[tex]X^2_{stat[/tex] = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]
[tex]X^2_{stat[/tex] = 13.7066 ≈ 13.71
Therefore, the x² test statistic 13.71
Option a) 13.71 is the correct answer.
There are 88 marbles in a bin and 50 percent of the marbles are red how many red marbles are in the bin ?
Answer:
44
Step-by-step explanation:
50% is half of the whole
88/2=44
Answer:
44
Step-by-step explanation:
88/2
How many meters are in 9 kilometers? 90,000 meters 9,000 meters 900 meters 90 meters
Answer:
9000 metres
Step-by-step explanation:
a kilometer has 1000 metres
so 9 kilometers has 9*1000 = 9000 metres
Answer:
Step-by-step explanation:
1 km=1000m
9 km=1000*9m
=9000 m
Help me with this pls
Answer:
C. 285.71
Step-by-step explanation:
-3(7+2) Distributive Property
I appreciate if someone help me with this. is due today. Thanks
Answer:
Step-by-step explanation:
take 23 degree as reference angle
using tan rule
tan 23=opposite/adjacent
0.42=x/3.2
3.2*0.42=x
1.34=x
1.3=x
Answer:
x equals to about 1.36
Step-by-step explanation:
Okay so first of all list write out Sin Cos and Tan. SOH-CAH-TOA
Now lets see what we are given. For the reference angle we are given 23.
We are also given 3.2 which is the adjacent angle. And the angle opposite of the reference angle is x. So all in all we have <23, Adjacent length 3.2, opposite length x.
Now we see which one would fit for this. That would be Tan since it deals with adjacent and opposite angles.
Now lets write it out as an equation. tan(23)= x/3.2 | Okay now next to get x alone we move it to the right side. That would leave us with tan(23)*3.2 which equals to about 1.36 "1.35831941187". Remember to use degree and not radiant.
An image is also added.
Hope it helps.
A box of candies has 14 pieces in total. If 2 of the pieces are strawberry flavored what is the ratio of the other flavors to the strawberry pieces ?
Answer:
12:2 or 6:1
Step-by-step explanation:
2. What is the median number of TVs in Mr.
Zimmerman's Class?
Answer:
3
Step-by-step explanation:
Total- 25
25 ÷ 2 = 12.5
12.5 is in 3
:)
At a pottery shop, there are 7 vases for every 3 planters.
Which of the following shows the ratio of planters to vases at the shop?
Answer:
3:7
Step-by-step explanation:
a ratio is a representation of a certain amount of two items. since there are 7 vases for every 3 planters, the amount of vases versus the amount of planters is represented by 3:7
Divide a line which is 20m long in the ratio 3:7
Answer: 6:14
Step-by-step explanation:
3 + 7 = 10x
10x of 20 = 20/10
10x of 20 = 2
3*2:7*2 = 6:14
Answer:
6:14
Step-by-step explanation:
3+7= 10... Double the numbers. The line should be drawn so that 6 is on one side and 14 are on the other.
The volume of a cylinder is 72 pie cm3. If the radius is 3cm, what is the height of the cylinder?
Answer:
A
Step-by-step explanation:
maybe
Answer:
Step-by-step explanation:
2.55cm
James Burke states that there is a 72% chance a polygraph test (lie detector test) will catch a person who is, in fact, lying. Furthermore, there is approximately a 7% chance that the polygraph will falsely accuse someone of lying.
Required:
a. Suppose a person answers 87% of a long battery of questions truthfully. What percentage of the answers will the polygraph wrongly indicate are lies?
b. Suppose a person answers 13% of a long battery of questions with lies. What percentage of the answers will the polygraph correctly indicate are lies?
Answer:
a) 6.09 %
b) 9.36 %
Step-by-step explanation:
a) Given
% of questions that are truthful = 87% = -.87
% of right questions that are falsely indicated as lies = 7%
Percentage of the answers that the polygraph wrongly indicate as lies = 0.87 * 0.07 = 0.0609 = 0.1 = 10%
b) % of answers that are lies = 13% = 0.13
% of answers that are correctly caught as lies = 72%
percentage of the answers that the polygraph will correctly indicate as lies
= 0.13 * 0.72 = 0.0936 = 0.1 = 10 %
Belts are made in sizes Small, Medium, Large and Extra Large.
Jenny needs to order more belts in June.
The modal size of belts sold is Small.
Jenny is going to order 4 of the belts in size Small.
The manager of the shop tells Jenny she should not order so many Small belts.
(b) Who is correct, Jenny or the manager?
You must give a reason for your answer.
Answer:
I think the manager is correct because Jenny should not order the belts according to its sold quantity or according to the demand of other people.She must choose the size according to her waist size and the other's for whom she is going to buy.
Will you mark it the brainliest please because I answered your question inspite of being in class:)
một hôp có 15 quả bóng bàn, trong đó có 9 bóng mới và 6 bóng cũ. Lần đầu chọn ra 2 bóng để sử dụng sau đó lấy thêm 2 bóng nữa để cho mượn
a) tính xác suất 2 bóng chọn lần sau là 2 bóng mới
b) giả sử biết rằng 2 bóng chọn lần sau là 2 bóng mới. tính xác suất 2 bóng chọn lần đầu là 2 bóng mới ?
Answer:
Sorry but I cannot understand that languageFor the following right triangle, find the side length x . Round your answer to the nearest hundredth.
[tex]\huge\bold{Given:}[/tex]
Length of the base = 9
Length of the hypotenuse = 16 [tex]\huge\bold{To\:find:}[/tex]
✎ The length of the perpendicular ''[tex]x[/tex]".
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
The length of the perpendicular [tex]x[/tex] is[tex]\boxed{±13.229}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ ⇢ {x}^{2} + {(9})^{2} = ({16})^{2} \\ ⇢ {x}^{2} + 81 = 256 \\ ⇢ {x}^{2} = 256 - 81 \\ ⇢x = \sqrt{175} \\ ⇢x = ±13.229[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:perpendicular \:"x"\:is\:±13.229.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {13.229})^{2} + ({9})^{2} = ({16})^{2} \\ ⇢ 175 + 81 = 256 \\ ⇢ 256 = 256 \\⇢ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Express 0.89 as percentage and fraction.
Arithmetic
0.89=89%=89/100
Make 100 using: 5,5,5,5,5,5,
Answer:
((5 * 5) + 5 - 5 - 5) * 5
Step-by-step explanation:
((5 * 5) + 5 - 5 - 5) * 5
((25) + 5 - 5 - 5) * 5
(30 - 5 - 5) * 5
(25 - 5) * 5
20 * 5
100
Solve for x, where x is a real number.
√x-5=6
How many solutions are there
Answer:
x=121
Step-by-step explanation:
1. Move the constant to the right-hand side and change its sign
square rootx = 6+5
2. Add the numbers
square rootx= 11
3. Square both sides of the equation
x=121
Check if the given value is the solution of the equation
square root 121 -5 =6
Simplify the expression
6=6
The equality is true, therefore x=121 is a solution of the equation
Find the area of the pentagon
Answer:
A=1
45(5+25)a2
Step-by-step explanation:
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. He writes the numbers 1–10 on equally sized slips of paper and places them in a bag. He shakes the bag and selects 3 slips of paper. Is the sample of 3 questions a simple random sample? Yes, because the paper slips were equally sized. Yes, because the paper slips were equally sized and the bag was shaken. No, because there are only 10 questions. No, because the questions were selected using a bag.
Answer:
B:yes because the paper slips were equally size and the bag was shaken
Step-by-step explanation:
Taking the test
Which equation has the following: Center (0, -3) and radius [tex]\sqrt{11}[/tex]
Answer:
The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Center (0, -3)
This means that [tex]x_0 = 0, y_0 = -3[/tex]
Radius square root of 11
This means that [tex]r = \sqrt{11}[/tex]
Equation of the circle:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - 0)^2 + (y - (-3))^2 = (\sqrt{11})^2[/tex]
[tex]x^2 + (y + 3)^2 = 11[/tex]
The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]
find the area of the circle
Answer:
A = 1.77 ft^2
Step-by-step explanation:
The circle has a diameter of 1.5 ft
We need the radius
r = d/2 = 1.5/2 = .75 ft
The area of a circle is
A = pi r^2
A = 3.14 ( .75)^2 = 1.76625
To the nearest hundredth
A = 1.77 ft^2
Answer:
1.77 ft²
Step-by-step explanation:
The formula to find the area of a circle :
A = πr²
First, let us find the radius of the circle.
Given that,
diameter ⇒ 1.5 ft
d = 2r
1.5 = 2r
Divide both sides by 2.
0.75 = radius
Now, let us find the area of the circle.
A = πr²
A = 3.142 × 0.75 × 0.75
A = 1.767 ft²
A ≈ 1.77 ft²
Pedro vende Televisores a 1020 lempiras y las compra a 800 lempiras cada uno, para mantener su negocio gasta 1000 en
luz, 2000 en electricidad y 3900 en otros gastos, ademas debe pagar 45 lempiras de comisión al vendedor por cada
Televisor que vende (piense si pagar es costo o ingreso y si es variable o fijo).
What is the length of the base edge labeled x?
Answer:
It is six cm。
Step-by-step explanation:
Find the trigonometric ratio for cos B may need to use Pythagorean theorem
Answer:
The answer is cos B = 2/3
I hope it will help you :)
Which statement is true?
A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.
B. Only some rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rectangles have exactly 1 pair of parallel sides.
C. All rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rectangles have exactly 1 pair of parallel sides.
D. Only some rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rectangles have 2 pairs of parallel sides.
Answer:
The correct answer is A I believe . . .
Answer:
A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.
Step-by-step explanation:
Rectangles are parallelograms since they have 2 pairs of parallel sides. All rectangles also have 4 right angles and 2 pairs of opposites sides that are of equal lengths.
-6+x/x^4 limit at x →0
Answer:
not existing
Step-by-step explanation:
[tex] \frac{ - 6 + x}{ {x}^{4} } [/tex]
lim x goes to 0 is
[tex] \frac{ - 6 + 0}{ {0}^{4} } = \frac{ - 6}{0} [/tex]
so not exist
I'm not sure if u mean that or this