Step-by-step explanation:
Given data,
Test scores =60, 65, 70, 75, 80, 80, 85, 85, 90, 95, 100
Mean= (60+65+70+75+80+80+80+85+85+90+95+100)/11
= 885/11
= 80.45
Median= 80
Write an equation of the line that passes through the given points. (-4,7) and (1,2)
Answer:
-1x + 3
Step-by-step explanation:
What is the fifth term in the expansion of (3x - 3y)7?
Answer:
76545
Step-by-step explanation:
What is the value of this expression
3^2*2-4(3-1)
Answer:
10
Step-by-step explanation:
3^2*2-4(3-1)
3^2=9
9*2
9×2
18
4(3-1)
4(2)
8
18-8
=10
So the final answer is 10
Adding and subtracting fractions
Answer:
Is possible
Step-by-step explanation:
It is possible to add and subtract fractions
Answer:
it is possible to add and subtract fractions
Step-by-step explanation:
I need help thank youuu
Answer: 0.908
Step-by-step explanation:
P(A | B) = P(A) + P(B) - P(A and B)
= 0.7 + 0.86 - 0.652
= 0.908
Hope this was helpful.
Brainliest please :P
The circumference of the smaller is 30% of the circumference of the larger circle. Find the circumference of the larger circle. Round your answer to the nearest tenth
Given:
The circumference of the smaller is 30% of the circumference of the larger circle.
We need to determine the circumference of the larger circle.
Diameter of the larger circle:
The diameter of the smaller circle is 9 in.
Since, the circumference of the smaller is 30% of the circumference of the larger circle, we have;
[tex]S=0.3L[/tex]
where S is the circumference of the smaller circle and L is the circumference of the larger circule.
[tex]\pi(9)=(0.3)\pi d[/tex]
[tex]9=0.3d[/tex]
[tex]30=d[/tex]
Thus, the diameter of the larger circle is 30 inches.
Circumference of the larger circle:
The circumference of the larger circle is given by
[tex]C=\pi d[/tex]
[tex]C=3.14\times 30[/tex]
[tex]C=94.2[/tex]
Thus, the circumference of the larger circle is 94.2 inches.
The airplane Li's family will be flying on can seat up to 149 passengers. If 96 passengers are already on the plane, which graph represents the solution to the inequality that would be used to find how many more people can board?
Answer:
no more than 53
Step-by-step explanation:
Answer:
no more than 53
Step-by-step explanation:
I can confirm this because I did it myself not because of the guy above me
(a+bz)/(a+b)=(c+dz)/(d+c) if bc=ad
We have proven that:
[tex]\[\frac{a + bz}{a + b} = \frac{c + dz}{d + c}\][/tex]
given that bc = ad.
To prove that
[tex]\[\frac{a + bz}{a + b} = \frac{c + dz}{d + c}\][/tex]
given that bc = ad, we'll start by manipulating one side of the equation to look like the other side.
Let's start with the left-hand side:
[tex]\[\frac{a + bz}{a + b}\][/tex]
To make it look like the right-hand side, we need to somehow introduce c and d into the expression.
From the given condition bc = ad, we can rearrange it to solve for d:
[tex]\[d = \frac{bc}{a}\]Now, let's substitute \( d \) into the expression:\[\frac{a + bz}{a + b} = \frac{c + \frac{bc}{a}z}{\frac{bc}{a} + c}\][/tex]
Now, to make it look like [tex]\( \frac{c + dz}{d + c} \), we need to factor \( c \)[/tex] out of the numerator:
[tex]\[= \frac{c\left(1 + \frac{bz}{a}\right)}{c\left(\frac{b}{a} + 1\right)}\]Notice that \( c \) cancels out in the fraction:\[= \frac{1 + \frac{bz}{a}}{\frac{b}{a} + 1}\]Now, we notice that \( \frac{b}{a} = \frac{c}{d} \), because \( bc = ad \). So, we can rewrite this as:\[= \frac{1 + \frac{bz}{a}}{\frac{c}{d} + 1}\][/tex]
This is now the same form as [tex]\( \frac{c + dz}{d + c} \), where \( d = \frac{bc}{a} \).[/tex]
So, we have proven that:
[tex]\[\frac{a + bz}{a + b} = \frac{c + dz}{d + c}\][/tex]
given that bc = ad.
Complete question:
Prove that (a+bz)/(a+b)=(c+dz)/(d+c) if bc=ad
We have proven that:
[tex]\[(a + bz)/(a + b) = (c + dz)/(d + c)\][/tex]
given that bc = ad.
To prove that
[tex]\[(a + bz)/(a + b) = (c + dz)/(d + c)\][/tex]
given that bc = ad, we'll start by manipulating one side of the equation to look like the other side.
Let's start with the left-hand side:
[tex]\[(a + bz)/(a + b)\][/tex]
To make it look like the right-hand side, we need to somehow introduce c and d into the expression.
From the given condition bc = ad, we can rearrange it to solve for d:
[tex]\[d = (bc)/(a)\]Now, let's substitute \( d \) into the expression:\[(a + bz)/(a + b) = (c + (bc)/(a)z)/((bc)/(a) + c)\][/tex]
Now, to make it look like [tex]\( (c + dz)/(d + c) \)[/tex], we need to factor \( c \) out of the numerator:
[tex]\[= (c\left(1 + (bz)/(a)\right))/(c\left((b)/(a) + 1\right))\]\\Notice that \( c \) cancels out in the fraction:\[= (1 + (bz)/(a))/((b)/(a) + 1)\][/tex]
Now, we notice that [tex]\( (b)/(a) = (c)/(d) \)[/tex], because [tex]\( bc = ad \)[/tex]. So, we can rewrite this as:[tex]\[= (1 + (bz)/(a))/((c)/(d) + 1)\][/tex]
This is now the same form as [tex]\( (c + dz)/(d + c) \), where \( d = (bc)/(a) \)[/tex].
So, we have proven that:
[tex]\[(a + bz)/(a + b) = (c + dz)/(d + c)\][/tex]
given that bc = ad.
Complete question:
Prove that (a+bz)/(a+b)=(c+dz)/(d+c) if bc=ad.
3y+6+4y−7=−8
Solve for y
The solution to the equation 3y + 6 + 4y - 7 = -8 is y = -1.
We have,
To solve the equation 3y + 6 + 4y - 7 = -8 for y, we can combine like terms and isolate the variable.
Combining like terms on the left side of the equation, we have:
3y + 4y + 6 - 7 = -8
Simplifying further:
7y - 1 = -8
Next, let's isolate the y-term by moving the constant term to the other side of the equation:
7y = -8 + 1
Simplifying:
7y = -7
Finally, divide both sides of the equation by 7 to solve for y:
y = -7/7
Simplifying the fraction:
y = -1
Therefore,
The solution to the equation 3y + 6 + 4y - 7 = -8 is y = -1.
Learn more about expressions here:
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Which set of measurements forms a right triangle? Use the Pythagorean theorem: a2 + b2 = c2.
A) 5, 12, 14
B) 5, 11, 13
C) 4, 11, 13
D) 5, 12, 13
Answer:
b
Step-by-step explanation:
Mr. Malkemus replace 75% of the wooden boards on his deck if he replaced 63 wooden boards how many boards does his deck have in total
Answer:
84
Step-by-step explanation:
Make a proportion
We know that 63 divide by a number has to equal 75%
63/x=75/100
Cross multiply
75x=6300
Divide by 75 on both sides
x=84
So , his deck has 84 wooden boards
Hope this helps! :)
Answer:
he had 84 wooden boards
Step-by-step explanation:
[tex]\frac{63}{75}[/tex] [tex]\frac{x}{100}[/tex] = 6300÷ 75=84
A girl of mass 25kg climbs up 8 steps
each of height 0.25m, in 20s. calculate
the power of the girl (s = 10ms]
The power of the girl is 24.5 Watts.
Given data:
The mass M = 25 kg, where the height of each step is 0.25m and the number of steps is 8.
To calculate the power of the girl:
Power = Work / Time
The work done is equal to the force applied multiplied by the distance covered.
Work = Force * Distance
The force applied is equal to the weight of the girl, which is given by:
Force = Mass * Gravity
Where gravity is approximately 9.8 m/s².
Force = 25 kg * 9.8 m/s² = 245 N
The distance covered is equal to the height of each step multiplied by the number of steps climbed.
Distance = Height * Number of Steps
Distance = 0.25 m/step * 8 steps = 2 m
Now, calculate the work:
Work = 245 N * 2 m = 490 J
Next, calculate the power by dividing the work by the time:
Power = 490 J / 20 s = 24.5 W
Hence, the power is 24.5 Watts.
To learn more about work and power:
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Madelyn's car used 6 gallons of gas to drive 126 miles. At what rate does her car use
gas in gallons per mile? Express your answer in simplest form.
Answer:
Step-by-step explanation:
You are given GALLONS and MILES
you want to find MILES / GALLON
so just put those numebrs in
MILES / GALLON = 126 miles / 6 gallons = 21 m/g (or 21 MPG)
Answer
Step-by-step explanation
what are the choices TwT
If in this picture, the biggest pyramid has a square base of 480ft by 480 ft, and it stands 450 ft tall, how many of the given groups (in the diagram) could fit inside of the pyramid?
Answer:
you didn't upload the picture. But I think you should find the volume of the given groups and also find the volume of the biggest pyramid then divide the volume of the biggest pyramid by the volume of the group
need helo figuring this out
Answer:
2/5
Step-by-step explanation:
Parallel lines have the same slope.
THIS IS ON E D E N U I T Y HELP PLEASE
This square pyramid has a surface area of 16 m2.
A square pyramid. The square base has side lengths of 2 meters. The triangular sides have a height of 3 meters.
Consider the square pyramid shown. If each dimension is doubled, how does the surface area change?
The surface area doubles.
The surface area triples.
The surface area increases by 4 times.
The surface area increases by 8 times.
2^2 = 4, so SA would be multiplied by 4
Answer: The surface area increases by 4 times
Step-by-step explanation: i did the assignment and got it correct hope it helps!! :)
how many ways can 12 swimmers finish in first , second, and third place?
Answer:
1320
Step-by-step explanation:
This can be solved using something called a permutation. There are 12 possible swimmers that can be in first place. After that, there are 11 swimmers left to be in second place. Finally there are 10 swimmers left for third place. Multiplying these together, you get 12*11*10=1320 ways. Hope this helps!
Answer:
1728
Step-by-step explanation:twelve swimmers can go in each place at any given time. Multiply the possibilities for first, second, and third place to get the answer.
Subtract. -8 - (- 2)
Answer:
-6
Step-by-step explanation:
The monthly electricity bill, B, in dollars for a museum using n solar panels is
given by the equation below. What is the best interpretation of 125 in the equation below?
B= 12.5(125 - n)
A
The electric bill is 0 dollars when the museum uses 125 solar panels.
B
The museum is currently using 125 solar panels.
The monthly electric bill is 125 dollars without solar panels.
(D) The electric bill decreases by 125 dollars for each additional solar panel
The number 125 in the equation B = 12.5(125 - n) represents the point at which the electric bill would be $0 if the museum uses 125 solar panels. It means the bill decreases by $12.5 for the installation of each additional solar panel.
Explanation:The best interpretation of the number 125 in the equation B = 12.5(125 - n) is that the monthly electricity bill for a museum decreases by $12.50 for each solar panel installed (option D). However, this question seems to mistakenly include $125 in the choices, where it should only refer to the number 125 in the equation. Nonetheless, the number 125 represents the baseline number of solar panels at which the electric bill would be $0. Therefore, for every solar panel used, the number of solar panels n is subtracted from 125, and the result is multiplied by $12.5 to find the monthly bill. This leads us to conclude that the electric bill decreases by 125 solar panels' worth of electricity savings for each additional solar panel added. Therefore, interpretation (A) is most accurate when we consider how the equation is structured.
Find the volume of the sphere. Either enter an exact answer in terms of π or use 3.14, for π and round your final answer to the nearest hundredth.
Radius 7
Answer: 1436.76
Step-by-step explanation:
formula:
[tex]volume=\frac{4}{3} \pi r^{3}[/tex]
input values into calculator:
[tex]\frac{4}{3} \pi 7^{3}[/tex]
7 because radius=7
rounded to 2 decimal places to become
1436.76
perform the operation (1-2i)-(7+4i)
Answer:
-6(1+i)
Step-by-step explanation:
Let's open the bracket
(1-2i)-(7+4i)
Open the bracket first
(1-2i)-7-4i
1-2i-7-4i
Collect like terms
1-7-2i-4i
-6-6i
Let's factorise
-6(1+i)
So the final answer is
-6(1+i)
What is the circumference, in centimeters, of the circle? Use 3.14 for π.
The diameter is 24 cm
Will give brainiest
Answer:
the answer is 75.36cm but it can rounded off to 75.4cm
Step-by-step explanation:
so...circumference is equal to "2 pie radius"
since the diameter is 24 then the radius is 24 divided by 2 which is 12cm .
how do you find the third side if a right triangle??
Answer:
use the pythagorean theorem
Step-by-step explanation:
Select the sequence of transformations that will carry Triangle A onto triangle A’
To carry Triangle A onto Triangle A', one can use a sequence of geometric transformations such as translation, rotation, and reflection. An example sequence could include translating the triangle, rotating it, and then reflecting it across an axis.
Explanation:To answer the question on how to carry Triangle A onto Triangle A', we need to consider a sequence of geometric transformations. Without the specific diagram, we can only provide a general solution. Typically, transformations to carry one triangle onto another include translations, rotations, reflections, or a combination of these. For example, we may translate Triangle A horizontally or vertically, followed by a rotation around a point at a certain angle, and possibly apply a reflection across a line if the orientation of Triangle A' is opposite that of Triangle A. Example of a Sequence of Transformations: This sequence would successfully carry Triangle A onto Triangle A' given the right conditions.
Find the area of a circle with a radius of 4 m
Answer
16 pi
Step-by-step explanation:
Area= pi times radius squared
4 squared=16
A=16 pi
How does the height of the triangle compare to the height of the rectangle?
Answer:
It is higher and more pointed
Step-by-step explanation:
Final answer:
The height of the triangle in relation to the height of the rectangle can vary, but proportionally, if Block B is twice the height of Block A, Block B's area change is also twice that of Block A. For squares, if a larger square has side lengths twice that of a smaller square, its area is four times greater. The area ratio between the two squares is 1:4.
Explanation:
The height of the triangle compared to the height of the rectangle can vary depending on the specific dimensions of each figure. If we refer to the rectangular faces of a prism (Block B) being proportionally taller than those of a smaller prism (Block A), we can use the ratio of their heights to determine the ratio of their areas. For example, if the height of Block B is twice that of Block A, then the change in the height of Block B would be twice that of Block A.
Considering a similar scenario with squares, if Marta has one square with a side length of 4 inches and a similar larger square with dimensions that are twice the first square, we would find the area of the larger square to be four times the area of the smaller square. This is because area is a function of the square of the side length (Area = side x side), so if the side length doubles, the area quadruples (2 x 2 = 4).
The ratio comparing the two areas of squares would be 1:4, meaning the larger square has an area four times greater than the smaller square.
The amount of a radioactive substance decreases by 10% every
12 hours. Currently the amount of substance is 100 grams. If n is
a whole number, which expression represents the number of
grams of substance left n days from now?
A.100(0.81)^n
B.100(1.1)^2n
C.100(0.81)^n/2
D.100(0.8)^n
Answer:
Step-by-step explanation:
We would apply the formula,
y = ab^t
Where
a represents the initial amount of substance.
t represents the decay time.
From the information given
a = 100
t = 12 hours
Since after 12 hours, the amount of substance reduces by 0.1, then
y = 0.1 × 100 = 10
Therefore
10 = 100 × b^12
Dividing through by 100, it becomes
0.1 = b^12
Raising both sides of the equation by 1/12, it becomes
0.1^(1/12) = b^12/12
b = 0.8
The equation becomes
y = 100(0.8)^t
Where t = n, the expression becomes
y = 100(0.8)^n
Final answer:
The correct expression representing the amount of a radioactive substance left after n days, with a 10% decrease every 12 hours, is 100(0.81)^n. The decay process is exponential, and we square the 12-hour decay factor to get the daily decay factor of 0.81.
Explanation:
To determine which expression represents the grams of a radioactive substance left n days from now, given that the substance decreases by 10% every 12 hours, we'll have to work with the concept of exponential decay in our calculations. Since the decay happens every 12 hours (which is half a day), we'll count the number of half-days there are in n days, which is 2n 12-hour periods.
Since the substance decreases by 10%, it retains 90% of its previous amount every 12 hours. In decimal form, this is a 0.9 multiplier. Thus, after each 12-hour period, we multiply the current amount by 0.9. To get the amount after n days, we raise 0.9 to the power of 2n, because there are 2n 12-hour periods in n days.
In mathematical terms, the amount left after n days can be represented as 100(0.9)^(2n). However, this option is not present in the given choices, so we have to look for an equivalent expression by simplifying or altering the base if needed. We can square 0.9 to get 0.81, which corresponds to the amount of substance left after a full day (24 hours). The correct expression representing the amount after n days is 100(0.81)^n, which is choice A.
Sally gets paid $15.00 dollars per hour for a 40-hour work week and y dollars for each hour she works over 40 hours. What is the equation for how many sally will earn if she works 48 hours?
The equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.
Step-by-step explanation:
Sally gets paid $15.00 dollars per hour for a 40-hour weekly work.She gets y dollars for each extra hour she works over 40 hours.The equation can be framed as :
Let,
x be the total pay she could get for 48 hours.The amount she earned for 40 hours = 40 × $15 ⇒ $600The amount she earned for extra hours = 8 × y ⇒ 8yThe equation is given as,
Total earnings = amount earned for 40 hours + amount for extra 8 hours.
⇒ x = 600 + 8y
Therefore, the equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.
Show work please . I’m stuck need help
Answer:
I hope it helps
Step-by-step explanation:
just insert numbers and simplify
12 cm
10 cm
10 cm
What is the volume of Alina's model in cubic
centimeters?
cm3
Answer:
1200 cm^3
Step-by-step explanation:
i believe you multiply highxlengthxwidth
Answer:
1200 cm3
Step-by-step explanation:
The label it wants you to use on the answer kind of hints at how you need to find the volume of this cube. since it is cm3 it means you are going to multiply each of the numbers together to get the answer.
12x10x10=1200
cm x cm x cm = cm3
Put the two together and you get 1200 cm3