Answer:
Given that the probability of winning is = 0.05
So the probability of losing is = 1 - 0.05 = 0.95.
We are told we have a 1 in 20 chance
Success: 0.05
Failure: 0.95
P(X=4)= 0.95*0.95*0.95*0.05
So the chance is 0.04286 or Option D
One a 570-mile trip, George spent two more hours on the Interstate than on the highway. He averaged 75 mph on the Interstate and 65 mph on the highway. How many hours did he spend driving on the Interstate
George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.
What is 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's suppose the George spend x hours on the interstate and (x+2) hours on the highway.
570 = 75x + 65(x-2)
570 = 75x + 65x -130
700 = 140x
x = 5 hours
Thus, George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.
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4/5(x+7)=20 I cant find it pls help :(
Can someone help me with this?
Answer:
88.0 in^3 to nearest tenth.
Step-by-step explanation:
The radius = 1/2 diameter
= 11/2 * 4 = 2 ins,
The Volume = πr^2 h
= π * 2^2 * 7
= 87.96 in^3.
Answer:
87.9 in³ OR 88.0 in³
Step-by-step explanation:
Concepts
The volume of a cylinder is [tex]\pi r^2h[/tex], where r = radius and h = height.
The radius is twice the diameter.
Application
We are given the diameter as 4 inches, so the radius is 2 inches. The height of the cylinder is 7 inches. Now, we just apply our aforementioned formula and plug in its values of r and h. Since I don't know if you're using pi as 3.14 or just using the exact value of pi, I have provided two different answers at the top.
Solution
1:
[tex]3.14*2^2*7[/tex] [tex]3.14*4*7[/tex] [tex]3.14*28[/tex] [tex]87.92[/tex] [tex]87.9[/tex]2:
[tex]\pi *2^2*7[/tex] [tex]\pi *4*7[/tex] [tex]28\pi[/tex] [tex]87.9645943005...[/tex] [tex]88.0[/tex]5. 7/8 = 2/48
O
A. 42
O B. 1
O C. 13
OD. 6
Answer: A. 42
7/8 = ?/48
8 * 6 = 48
7 * 6 = 42
? = 42
17 students and 15 teachers went on a field trip to an art museum. student tickets cost $10 each, and adult tickets cost $12 each. How much did the museum tickets cost in all?
Answer:
350 dollars
Step-by-step explanation:
We're given:
17 students15 teachersStudent ticket = 10 dollarsAdult ticket = 12 dollarsFirst, find the total cost for student tickets:
17 students × 10 dollars = 170 dollarsTherefore, the total cost for student tickets was 170 dollars.
Now, find the total cost for adult tickets:
15 teachers × 12 dollars = 180 dollarsTherefore, the total cost for adult tickets was 180 dollars
To find the total cost for the museum tickets, find the sum:
180 + 170 = 350 dollars
Therefore, the museum tickets cost 350 dollars in total.
What is the distance between points L(-1,3) and 2(4, -9)
HELP ASAP
Answer:
13 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (4, - 9 )
d = [tex]\sqrt{(4-(-1))^2+(-9-3)^2}[/tex]
= [tex]\sqrt{(4+1)^2+(-12)^2}[/tex]
= [tex]\sqrt{5^2+144}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13
Step-by-step explanation:
the other answer is correct.
just a few words about the why :
when you look at 2 points on the coordinate grid, then the distance between them creates a right-angled triangle.
the direct distance is the Hypotenuse (the baseline opposite of the 90° angle).
and the x-coordinate difference and the y-coordinate difference are the legs of that triangle.
and then we can use Pythagoras
c² = a² + b²
c = sqrt(a² + b²)
with c being the Hypotenuse.
and you see, that is exactly the so-called distance formula the other answer used.
please help with this kenkenpuzzle
Answer:
it's a bit hard to see in green.
Cookie jar contains 6 vanilla cookies, 4 chocolate cookies, and 9 lemon cookies.
one cookie is randomly picked from the jar.
find p (a vanilla cookie) =
p (a chocolate or lemon cookie) =
p (not a lemon cookie) =
p (a vanilla or chocolate or lemon) =
p (a peanut butter cookie) =
p (a vanilla cookie) = 6/19
p (a chocolate or lemon cookie) = 13/19
p (not a lemon cookie) = 10/19
p (a vanilla or chocolate or lemon) = 10/19
p (a peanut butter cookie) = [There's no peanut in the info you gave, sorry]
If you can simplify the fractions, then simplify
Factor 2x^2+x-3
(PLEASE INCLUDE STEP BY STEP)
The unit is "Factoring trinomials by grouping" so please use that method
Answer:
[tex]2x^2+x-3=(2x+3)(x-1)[/tex]
Step-by-step explanation:
Rewrite the middle term as a sum of two terms so that the coefficients add up to the coefficient of the middle term, and group the entire polynomial into two binomials in which they have the same factor:
[tex]2x^2+x-3\\2x^2-2x+3x-3\\(2x^2-2x)+(3x-3)\\2x(x-1)+3(x-1)\\(2x+3)(x-1)[/tex]
Hope this helps! Let me know if you are still confused.
What are the measures of the numbered angles?
Answer:
Angle 1 = 78 degrees
Angle 2= 90 degrees.
Angle 3= 12 degrees
Step-by-step explanation:
For angle 1,
Since all opposite angles of a kite is congruent, if the opposite half of the angle is 78 degrees, then the other opposite half is also 78 degrees.
For angle 2,
Diagonals of a kite will ALWAYS form right angles, this since angle 2 is formed by intersecting diagonals, it would be 90 degrees.
For angle 3,
Opposite angles of a kite are supplementary, meaning that the two angles will form a straight line, or 180 degrees.
We know that 78 degrees is half of one opposite angle, so the opposite angle can be concluded as 156 degrees.
The other set of two angles is unknown, so we take it as this formula:
156+2x=180
We subtract 156 from 180 to cancel out the coefficient.
2x=24
Now we use the division property of equality.
2x/2=24/2
x=12.
Angle 3= 12.
Brendan's original plan was to visit stuttgart, dresden, weisbaden, and berlin. however, he would like to keep his costs under €860. which change to brendan’s travel plans would result in his staying under, but closest, to his original budget? a. replace dresden with potsdam. b. replace stuttgart with kiel. c. replace berlin with munich. d. replace weisbaden with hanover.
Brendan's trip plans could be changed to keep him under, but near to, his original budget if he replaces Stuttgart with Kiel. Therefore, it is B.
What exactly is a budget?A budget is basically a financial forecast of revenue and spending for a given period.
The substitution of Kiel for Stuttgart in Brendan's trip plans would result in him keeping under, but near to, his original budget. This will help save money.
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How many cubes are needed to fill the prism made by the net?
16 cubes are needed to fill in the prism mad by the net.
Sure hope this helps you
Complete the table of values for function f, and then plot the ordered pairs on the graph.
Answer:
See picture above
Explanation:
Hope this helps and have a nice day
B. If one of the data points at 15 were moved to 10, how could you change another data
point to keep the mean the same?
Answer:
Below.
Step-by-step explanation:
You have a data point 5 to the left.
So you would move another data point 5 units to the right - like for example 14 to 19.
1. Truncate the following numbers to the unit:
a) 25
b) 76
c) 10
Answer:
1 Truncation
Truncation is a method of approximating numbers. It is easier than rounding, but does not always give the best approximation to the original number. Truncation is used in computing when division is done with integers and the answer must be an integer.
Step-by-step explanation:
Four friends are planning a party at a skating rink. The friends must pay $3 for
each person attending the party. They will also spend $36 on snacks. If each
friend contributes $21 to the party, what is the maximum number of people that
can attend the party?
16
19
28
48
Answer:
The answer is 28. It is easy.
Find the value of 8!.
Hey there!
8!
= 8(7)(6)(5)(4)(3)(2)(1)
= 56(6)(5)(4)(3)(2)(1)
= 336(5)(4)(3)(2)(1)
= 1,680(4)(3)(2)(1)
= 6,720(3)(2)(1)
= 20,160(2)(1)
= 40,320(1)
= 40,320
Therefore, the answer should be:
40,320
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Et $a_1, a_2, a_3,\dots$ be an arithmetic sequence.
if $a_1 + a_3 + a_5 = -12$ and $a_1a_3a_5 = 80$, find all possible values of $a_{10}$.
Since it's an arithmetic sequence,
[tex]a_2 = a_1 + d[/tex]
[tex]a_3 = a_2 + d = a_1 + 2d[/tex]
[tex]a_4 = a_3 + d = a_1 + 3d[/tex]
and so on, up to
[tex]a_n = a_1 + (n-1)d[/tex]
Now, by substitution,
[tex]a_1 + a_3 + a_5 = -12[/tex]
[tex]a_1 + (a_1+2d) + (a_1+4d) = -12[/tex]
[tex]3a_1 + 6d = -12[/tex]
[tex]a_1 + 2d = -4[/tex]
[tex]\implies a_1 = -4-2d, a_3 = -4, a_5 = -4+2d[/tex]
Then the product [tex]a_1a_3a_5=80[/tex] depends only on d, so that
[tex](-4-2d) \times (-4) \times (-4+2d) = 80[/tex]
Solve for d :
[tex](4+2d) (4-2d) = -20[/tex]
[tex]16 - 4d^2 = -20[/tex]
[tex]4d^2 = 36[/tex]
[tex]d^2 = 9[/tex]
[tex]d = \pm3[/tex]
If d = 3, then the first term in the sequence is [tex]a_1 = -10[/tex], and the tenth term would be [tex]a_{10} = \boxed{17}[/tex].
If d = -3, then the first term would instead by [tex]a_1 = 2[/tex], and the tenth term would be [tex]a_{10} = \boxed{-25}[/tex].
darlene can finish an average-sized crocheted centerpiece for 2 week how many days will it take her to finish 4 projects?
Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is 56 days.
How many days will it take Darlene to finish 4 projects?
Given that;
Darlene can finish an average-sized crocheted centerpiece in 2 week = ( 2 × 7)days = 14 dayshow many days will it take her to finish 4 projects?If 1 project takes 14 days
4 project takes x days
x = 4 × 14 days
x = 56 days
Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is 56 days.
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b)
Find the measurements of a rectangle with a perimeter of
26cm and an
area of 40 cm?
Answer:
L=8cm W=5cm
Step-by-step explanation:
8+8=16
5+5=10
10+16=26cm
5x8=40cm
Find the length of the arc AB in the circle with radius 3 meters shown below. (Round your answer to the nearest tenth.) 60 3 meters چارے
Considering the circumference of the circle, it is found that the length of arc AB is of 3.1 meters.
What is the circumference of a circle?
The circumference of a circle of radius r is given by:
[tex]C = 2\pi r[/tex].
This measure is equivalent to the length of an arc of 360º.
In this problem, we have that the radius is of r = 3m, hence the circumference is given by:
C = 6 pi m.
Arc AB has an angle of 60º, hence it's length is 1/6 of the circumference, which will then be of pi m = 3.1 meters.
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30 POINTS
Packaging of a product can cost a lot of money. Can you design
the cheapest package?
• Your task is to decide on the most cost effective and efficient
way to pack 12 golf balls. The radius of each golf ball is 1,8 cm.
All 12 golf balls fit side by side and you must design a box that
will hold the 12 golf balls with the minimum amount of wasted
card. The cost of cardboard is going to 0,01€ per cm squared.
In the design of a package, things to take into consideration are:
The sizeIts safetyIts durabilityIts storage space, etc.What is cost effectiveness?The most cost effective and efficient to pack 12 golf balls is through the use of a small golf bag or a small box that is made specially for that purpose.
The design of the box will be in a rectangle shape where there will be two rows of which the ball is made to fit in till the 12 balls are completely inside the box. The lock is automatic and it is one that can be easily closed and opened easily when one wants to take a ball.
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Find the circumference of a circle whose area is 25π. Leave the answer in terms of π.
[tex]\text{Given that,}\\\\~~~~~~~\text{Area} = 25\pi\\\\\implies \pi r^2 = 25 \pi\\\\\implies r^2 = 25\\\\\implies r= 5\\\\\text{Now,}\\\\\text{Circumference}= 2\pi r\\\\~~~~~~~~~~~~~~~~~~~~=2\pi \cdot 5\\ \\~~~~~~~~~~~~~~~~~~~~=10\pi[/tex]
What is the value of the expression 9/14÷(−0.6×2)?
Answer:
-0.72
Step-by-step explanation:
First we must solve what in parenthesis
-0.6 × 2 = -1.2Now we must convert [tex]\frac{9}{14}[/tex] to a whole number
To do that simply divide 9 by 14 and that come out as
0.64285714285Round to the tenths= 0.6
Now multiply
-1.2 × 0.6 = -0.72round 1.36 to the nearest integer
Answer: Heyaa! ~
1.36 rounded to the nearest integer is 1!
Step-by-step explanation:
Note that the whole number place is one move to the left of the decimal point (if it exists). To round to the nearest whole number (or nearest integer), we use the tenths place to determine whether the whole numbers place rounds up or stays the same.
Step 1: Locate and underline the whole numbers place (1) then look at the digit to the right (3):
Step 2: The digit to the right (3) is 4 or below. So, we replace it by a 0 (zero) to get 1 as the answer.
In short: 1.36 rounded to the nearest whole number is 1.
Hopefully this helps you! ~
What is the diameter of the circle (x + 25/4)² + y² = 25?
Answer:
10 units
Step-by-step explanation:
Compare the given equation to the standard-form equation for a circle to identify the relevant dimension.
The equation of a circle is written in standard form as ...
(x -h)² +(y -k)² = r² . . . . . . . centered at (h, k) with radius r
__
Comparing this to what you are given, you see that ...
h = -25/4
k = 0
r² = 25
The radius is ...
r = √25 = 5
The diameter is twice the radius, so is ...
d = 2r = 2(5)
d = 10
The diameter of the circle is 10 units.
elijah run 68 yards in a 100 yd how many more yards does she have to run what is the answer
Answer:
32
100-68=32
Step-by-step explanation:
What is the area of the parallelogram? Explain your reasoning.
Answer:
multiply the base of the perpendicular by its height
Step-by-step explanation:
It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.
HELP PLEASE!!!!!!! not Hubby097 tho
Answer:
729.
Step-by-step explanation:
-3 /1 =-3
9 / -3= -3
-27/9 = -3
So this is a geometric sequence with common ratio r = -3.
First term a = 1 so
nth term = ar^(n-1)
= 1(-3)^(n-1)
7th term = 1(-3)^(7-1)
= (-3)^6
= 729.
A point T divides a line AB internally in the ratio5:2 .Given that A is (-4,10) and B is (10,3) , find the coordinates of T
Answer:
T(6,5)
Step-by-step explanation:
Solution,
Let the coordinate of T be T(a,b), where T divides a line AB internally in the ratio 5:2. Given that A is (-4,10) and B is (10,3).
From the section formula,
[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]
Let,
(x,y)=(a,b)
(x₁,y₁)=(-4,10)
(x₂,y₂)=(10,3)
m₁:m₂=5:2
Now substitute the values.
[tex]\hookrightarrow x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}\\\\\hookrightarrow a=\frac{5\times10+2\times(-4)}{5+2},b=\frac{5\times3+2\times10}{5+2}\\\\\hookrightarrow a=\frac{42}{7},\: b=\frac{35}{7}\\\\\hookrightarrow a=6, \:b=5[/tex]