Answer:
The probability that Mario will randomly catch the right goldfish on the first 5 attempts = 0.069
Step-by-step explanation:
From geometric distribution.
If the probability of success on each trial = P,
then the probability that the Nth trial is the first success
Pr (X = N) = [tex](1 - P)^{N - 1}[/tex] P
Now,
P = [tex]\frac{1}{70}[/tex]
Maximum attempt = 5
Probability that Mario will randomly catch the right goldfish on the first 5 attempts
= [tex]\frac{1}{70}[/tex] + [tex](1 - \frac{1}{70} )^{1}[/tex] [tex]\frac{1}{70}[/tex] + [tex](1 - \frac{1}{70} )^{2}[/tex] [tex]\frac{1}{70}[/tex] + [tex](1 - \frac{1}{70} )^{3}[/tex] [tex]\frac{1}{70}[/tex] + [tex](1 - \frac{1}{70} )^{4}[/tex] [tex]\frac{1}{70}[/tex]
= [tex]\frac{1}{70}[/tex] + [tex]\frac{69}{70}[/tex] [tex]\frac{1}{70}[/tex] + [tex](\frac{69}{70} )^{2}[/tex] [tex]\frac{1}{70}[/tex] + [tex](\frac{69}{70} )^{3}[/tex] [tex]\frac{1}{70}[/tex] + [tex](\frac{69}{70} )^{4}[/tex] [tex]\frac{1}{70}[/tex]
= 0.069
Answer: 1. A) 0.14
2. C) 46%
3. D) 86%
4. B) 0.513
5. A) 0.003
6. C) 0.069
7. C) 0.25%
8. D) 0.03
9. C) 71%
10. A) 10%
Step-by-step explanation: 100% :)
The infinite geometric sum formula can be used to write 0.126126126...as a fraction. What is the numerator of this reduced fraction?
A. 7
B.14
C.42
D.126
Answer:
B.14Step-by-step explanation:
0.126126126... = x
1000x = 126.126126...1000x - x = 126999x = 126x = 126/999= 42/333= 14/ 111Numerator is 14
Correct answer is B.14
Please help, I'm working on an assignment.
Latoya brought a new rack for her CD collection. She has 977 CDs. Each row of the rack holds 12 CDs. How many rows can she fill? Write the answer as a mixed number.
is 3x + 2x = 3 a function
The given equation is a function. After simplifying, it takes the form y = 3/5x, a simple linear equation. Understanding the behavior of even and odd functions is useful in comprehending this.
Explanation:The given expression, 3x + 2x = 3, needs to be first simplified before determining whether it is a function or not. The simplified expression is 5x = 3, which can be rearranged to the function form y = 3/5x. This is a simple linear equation, indicating a function. In general, an even function times an even function produces an even function, but an odd function times an even function gives an odd function. You can see this in the equations mentioned: x² e-x², x sin x, and xe-x².
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If rectangle ABCD is dilated by a scale factor of 1.5 with a center of dilation at vertex A, how does the area of A'B'C'D' compare with the area of ABCD?
Answer:
A’/A = 2.25
Step-by-step explanation:
Let the length and width of ABCD be l and w respectively.
A = lw
=====
For rectangle A’B’C’D’
l’ = 1.5l and w’ = 1.5w
A’ = l’w’
A’ = 1.5l × 1.5 w
A’ = 2.25 lw
=====
A’/A = 2.25lw/(lw) Cancel lw
A’/A = 2.25
The area of the dilated rectangle is 2.25 times that of the original.
Answer:
The answer is "D"
Step-by-step explanation:
in triangle LNM, what is the value of x?
If all sides have the same length, then this is an equilateral triangle. Therefore, the measures of the angles are the same and amount to 60°.
Therefore we have the equations:
7x - 3 = 60 add 3 to both sides
7x = 63 divide both sides by 7
x = 9
----------------
11y + 5 = 60 subtract 5 from both sides
11y = 55 divide both sides by 11
y = 5
Check:
m∠N = (7x - 3)° → m∠N = (7(9) - 3)° = (63 - 3)° = 60°
m∠M = (11y + 5)° → m∠M = (11(5) + 5)° = (55 + 5)° = 60°
CORRECT :)
Answer: x = 9 and y = 5In the decimal number 0.675, the 7 holds what place value? A. Thousandths B. Ten thousandths C. Hundredths D. Tenths
Answer:
C. Hundredths
Step-by-step explanation:
. tenths hundredths thousandths ten thousandths
. 6 7 5 0
Please help with this!!!
Answer:
z = 123.9
Step-by-step explanation:
We can use trigonometric functions, because we have a right triangle. We now the adjacent and opposite side of the angle we are interested in, so we can use the tan function.
tan 20 = opposite/ adjacent
tan 20 = 45.1/z
Multiply each side by z
z* tan 20 = 45.1 /z * z
z * tan 20 =45.1
Divide each side by tan 20
z = 45.1 / tan 20
z=123.9112316
To one decimal place,
z = 123.9
A third-grade gym class has 54 students. The gym teacher divides them into 9 groups. She then divides each group into 2 teams. How many students are on each team?
Answer:3
Step-by-step explanation: the reason why it's 3 is because 54 divided by 9 is 6 and 6 divided by 2 is 3
Which of the following items may be a good consideration in selecting a bank?
I. The bank sends a representative to the local mall to promote new applications.
II. Number of ATMs or bank branches near where you live, shop, work, or travel.
III. Knowledge of personal usage habits and needs
Answer:
II and III.
Step-by-step explanation:
Having branches near you is very important! Also knowing what you personally need from a bank is important
Answer:
3
Step-by-step explanation:
inline skates are on sale for 35% off the regular price
a. What fraction off is this discount?
b. The original price of one pair of inline skates is $124.99. What is
the sale price?
c. A tax of 5% is computed on the sale price. What is the total cost of the inline skates?
We have answered a three-part mathematical question. First, we converted 35% to a fraction, resulting in 7/20. We then calculated the sale price of inline skates by deducting this percentage from the original price to reach $81.24. Finally, we computed a 5% tax on the sales price to find a final total cost of $85.3.
Explanation:This question moves through several concepts in percentage and tax calculation. The first part of the question asks you to express 35% as a fraction, which, when reduced, can be represented as 7/20.
For the second part of the question, in order to calculate the sale price, we need to compute 35% ($43.75) of the original price ($124.99) and deduct this amount from the original price, resulting in a sale price of $81.24.
Lastly, we need to calculate and add a 5% sales tax to the sale price. 5% of $81.24 is $4.06. Adding this to the sale price, we get a total cost of $85.3.
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Y= -2x-9 in standard form
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
2x + y = -9.
y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let, consider the equation of y = mx+c,
where, m is the slope of line and c is the y - intercepts. So to draw the graph firstly we find the two points to connect the line in which first is y-intercepts by putting x=0 in the given equation.
standard form of linear equation is :
y = mx+c
comparing it with given equation :
y= -2x-9.
m = -2, c = -9
Therefore, y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.
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Solve each system by elimination
9) 5x+y=9
10x-7y=-18
Answer:
x=1, y=4
Step-by-step explanation:
5x+y=9
10x-7y=-18
To solve by elimination, we pick a variable to eliminate, or get rid of. I will multiply the first equation by -2 so we can get rid of x
-2( 5x+y)=9 *-2
-10x -2y = -18
Now we add this equation to the second equation
-10x -2y = -18
10x-7y=-18
-------------------------
-9y = -36
Divide each side by -9
-9y/-9 = -36/-9
y =4
We still need to solve for x
5x+y=9
Put in y=4
5x+4 = 9
Subtract 4 from each side
5x +4-4 = 9-4
5x = 5
Divide each side by 5
5x/5 = 5/5
x=1
Answer:
1,4
Step-by-step explanation:
add the equations in order to solve 1st variable, put the value in the other equations in order to solve- math way
Find the approximate length of segment GH on the graph.
A) 4 units
B) 5.8 units
C) 7.8 units
D) 8 units
Answer:
The correct option is B.
Step-by-step explanation:
The distance between two points is
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
From the given figure it is clear that the coordinates of G are (1,2) and the coordinates of H are (6,5).
[tex]D=\sqrt{(6-1)^2+(5-2)^2}[/tex]
[tex]D=\sqrt{(5)^2+(3)^2}[/tex]
[tex]D=\sqrt{25+9}[/tex]
[tex]D=\sqrt{34}[/tex]
[tex]D=5.83[/tex]
[tex]D\approx 5.8[/tex]
The length of GH is 5.8 units. Therefore the correct option is B.
Indicate in standard form the equation of the line passing through the given point and having the given slope
R(4,0),m=5
what is the equation in point -slope form of a line that passes trough the points (3,-5) and (-8,4)
Answer:
The equation in point - slope form of a line that passes through the points (3,-5) and (-8,4) is: y-(-5) = -(9/11) (x-3) or y+5 = -(9/11) (x-3)
Step-by-step explanation:
P1=(3,-5)=(x1,y1)→x1=3, y1=-5
P2=(-8,4)=(x2,y2)→x2=-8, y2=4
Equation in Point-Slope Form: y-y1=m(x-x1)
Slope: m=(y2-y1)/(x2-x1)
Replacing the known values:
m=[4-(-5)] / (-8-3)
m=(4+5) / (-11)
m=(9) / (-11)
m=-(9/11)
Equation in the point - slope form:
y-(-5) = -(9/11) (x-3)
y+5 = -(9/11) (x-3)
Graph the inequality c ≤ 3. How is the graph of c < 3 different from c ≤ 3?
To graph the inequality c ≤ 3, you draw a solid line at 3 on the number line and shade to the left. For c < 3, you draw a dotted line at 3 on the number line and shade to the left, without including 3.
Explanation:To graph the inequality c ≤ 3, you will draw a line at the value of 3 on the number line and shade the region to the left of the line. This includes the value 3 as well. This is because the inequality includes the symbol ≤, which means 'less than or equal to'.
On the other hand, to graph the inequality c < 3, you will draw a dotted line at the value of 3 on the number line and shade the region to the left of the line. However, this time the value 3 is not included in the solution because the inequality uses the symbol <, which means 'less than'.
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PLEASE HELP ASAP 50 POINTS! What correctly identifies the property shown?
(−4.3)+5.4=5.4+(−4.3)
A. Associative property
B. Commutative property
C. Opposite of a sum property
Answer:
Commutative property
Step-by-step explanation:
Hope that helps!
Use division instead of the images to divide 18 by 4. What is the quotient of the division? What is the remainder?
When 18 is divided by 4, the quotient is 4 and the remainder is 2.
Explanation:The division of 18 by 4, can be performed using long division or mental math. First, understand that 'dividend' is the number being divided (18), 'divisor' is what you divide by (4), 'quotient' is the result of the division and 'remainder' is what is left over.
Step 1: Divide 18 by 4. 4 fits into 18 four times (4 x 4 = 16).
Step 2: Subtract the 16 from 18 to find the remainder. 18 - 16 equals 2.
So, the quotient of 18 divided by 4 is 4 and the remainder is 2.
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Find missing length and reduce to fraction
26/24=x/16
26*2/3=52/3
Mable’s cookie recipe calls for 3/4 of a cup of flour. Her mother’s recipe calls for 2/3 as much as Mable’s. How many cups of flour does her mother’s recipe require?
HELPP!!! PLEASE IM TIMED
Answer:
1/2
Step-by-step explanation:
what is a number n is at least 10
Answer: n≥10
Step-by-step explanation:
The symbol ≥ means “greater than or equal to.” So, n≥10 means “n is greater than or equal to 10,” which basically means “n is at least 10”.
Answer:
n≥10
iready
holp it help
in class,12 students like to play vollyboll. if 30% of the students in the class like to play volleyball,how many students are in the class?
Answer:
Hope this helps! If you have any questions feel free to ask.
Step-by-step explanation:
To find the total number of students in the class, you can use the given information of the percentage and the number of students who like to play volleyball.
Explanation:To find the total number of students in the class, we can use the information given. It is stated that 30% of the students in the class like to play volleyball, and there are 12 students who like to play volleyball. Let's assume the total number of students in the class is x.
So, we can set up the equation 0.30x = 12 to represent the percentage of students who like to play volleyball. Solving this equation, we get x = 12 / 0.30 = 40. Therefore, there are 40 students in the class.
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The polygons below are similar. Find the value of x. Polygons ABCD and EFGH are shown. AB equals 6. BC equals 8. CD equals 10. AD equals x. EF equals y. FG equals 6. GH equals z. HE equals 12. 4.5 7.5 12 16
Answer: The value of x = 16 units, y = 4.5 units and z = 7.5 units.
Step-by-step explanation:
Since we have given that
ABCD and EFGH are two similar polygons.
Dimensions of ABCD are as follows :
AB = 6 units
BC = 8 units
AD = x units
CD = 10 units
Dimensions of EFGH are as follows :
EF = y
FG = 6 units
EH = 12 units
GH = z
Since they are similar:
[tex]\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{CD}{GH}=\dfrac{AD}{EH}\\\\\dfrac{6}{y}=\dfrac{8}{6}=\dfrac{10}z}=\dfrac{x}{12}[/tex]
First we take,
[tex]\dfrac{6}{y}=\dfrac{8}{6}\\\\y=\dfrac{36}{8}\\\\y=4.5\ units[/tex]
similarly,
[tex]\dfrac{8}{6}=\dfrac{10}{z}\\\\z=\dfrac{60}{8}\\\\z=7.5\ units[/tex]
similarly,
[tex]\dfrac{8}{6}=\dfrac{x}{12}\\\\x=\dfrac{96}{6}\\\\x=16\ units[/tex]
Hence, the value of x = 16 units, y = 4.5 units and z = 7.5 units.
Answer:
its not 7.5!!! i just took the test and its wrong!!
triangle IJK is congruent to triangle PQR. If the measure of angle I=3x+4 and the measure of angle P=72-x, then determine the value of x
Answer:
X = 17°
Step-by-step explanation:
Given that triangle Δ IJK ≅ triangle Δ PQR.
Using CPCTC (corresponding parts of congruent triangles are congruent), we can say angle ∠I = angle ∠P.
given angle ∠I = 3x + 4, and angle ∠P = 72 - x.
Now solving angle ∠I = angle ∠P.
3x + 4 = 72 - x
3x = 72 - x - 4
3x = 68 - x
3x + x = 68
4x = 68
x = 68/4 = 17 degrees.
Hence, the value of x is 17°.
it takes Zoe 12.5 minutes to swim 20 laps around the pool. what is Zoes’s unit rate
Answer:
The answer is 1.6
Answer:
1.6 minutes/lap
Step-by-step explanation:
Do 20 divided by 12.5 to get 1.6.
4 to the power of negative n equals 32 then what is n
n=-3
4^ -(-3)= 32
if you get the same bases == 4^-n= 4^3(=32)
so n =-3
The difference between 8 less than q?
The Difference between expressions '8 less than q' and 'ans' is q - ans - 8.
The phrase '8 less than q' can be expressed as q - 8.
To find the difference between q - 8 and the answer 'ans', you subtract the two expressions: (q - 8) - ans.
This simplifies to q - 8 - ans, or q - ans - 8.
For example, if q = 15 and ans = 5, the difference would be 15 - 5 - 8, which equals 2.
So the difference between '8 less than q' and 'ans' is q - ans - 8.
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The probable question may be:
What is the difference between 8 less than q?
What is the answer to linear equation: 5 = 6 - 7c
Answer:
c = 1/7
Step-by-step explanation:
Here we have to solve the linear equation.
We need to find the value of c.
5 = 6 - 7c
Isolate the variable and constants
Add 7c on both sides, we get
7c + 5 = 6 - 7c + 7c
7c + 5 = 6
Subtract 5 from both sides, we get
7c + 5 - 5 = 6 - 5
7c = 1
Dividing both sides by 7, we get
c = 1/7
Thank you.
In △ABC, CH=33 ft. What is the length of CX¯¯¯¯¯¯ ? Enter your answer in the box. ft A triangle A B C. Side B C is the base. F, G, and H are the midpoints of sides A F, B G, and C H respectively. Midpoints of each side connect to the opposite vertex. A F is the median of line segment B C. B G is the median of line segment A C. C H is the median of line segment A B. Medians intersect at a point labeled X. Single tick marks are on the line segments A H and H B. Double tick marks are on the line segments B F and F C. Triple tick marks are on the line segments A G and G C.
Answer:
The length of CX is 22 ft.
Step-by-step explanation:
Given information: In triangle ABC, F, G, and H are the midpoints of sides BC, CA, and AB respectively.
The medians FA, BG and CH intersect each other at point X.
According to the property of triangle, the intersection point of medians is called centroid and the centroid divides each median in 2:1.
Since X is centroid, therefore points X divides the median CH in 2:1, therefore we can say that CX:XH is 2:1.
It is given that the length of CX is 33.
[tex]CX=\frac{2}{3}CH[/tex]
[tex]CX=\frac{2}{3}\times 33[/tex]
[tex]CX=2\times 11[/tex]
[tex]CX=22[/tex]
Therefore the length of CX is 22 ft.
Answer:
22 ft
Step-by-step explanation:
33-1/3(33)=22
What does it mean when it says leave it in terms of pi-3.14....
Hello,
When you are leaving an answer in terms of pi, you are simply leaving the pi symbol in the answer. Here is the symbol: π
- I . A -
In mathematics, 'leave it in terms of pi' means expressing the answer using the symbol π instead of decimal approximation. Pi is an irrational number, so it goes on forever without repeating. To leave an answer in terms of pi, keep π in the expression and perform calculations with it.
Explanation:In mathematics, when it says 'leave it in terms of pi', it means that the answer should be expressed using the symbol π instead of rounding it to a decimal approximation like 3.14. Pi is an irrational number, meaning its decimal representation goes on forever without repeating. To leave an answer in terms of pi, you can keep π in the expression and perform any calculations with it. For example, if calculating the area of a circle, the formula would be A = πr², where r is the radius.