Answer:
length : 37 m
width : 8 m
Step-by-step explanation:
perimeter = 2×l(ength) + 2×w(idth) = 90
l = 5w - 3
=> 2×(5w-3) + 2w = 90
10w - 6 + 2w = 90
12w = 96
w = 8
=> l = 5w - 3 = 5×8 -3 = 40-3 = 37
P(A and B)=P(A)•P(B) is used when two events are used when two events are
Answer:
Independent.
Step-by-step explanation:
Independent events:
Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Thus, P(A and B)=P(A)•P(B) is used when two events are independent.
How many small cubes, with a side length of 1/2 cm, will fill the larger rectangular prism below?
Answer:
15 cubes
Step-by-step explanation:
The volume of a rectangular prism is given as :
V = Lenght * width * height
V = 3/2 * 5/2 * 1/2
V = 15 / 8 cm³
Volume of a cube = a³
Where, a = side length of cube
a = 1/2 cm
V = a³ = (1/2)³ = (1/2 * 1/2 * 1/2) = 1/8
Volume of pyramid / volume of cube
15 / 8 ÷ 1 / 8
15 / 8 * 8 / 1
= 15
A bag with 8 marbles is shown below. (2 marbles are yellow, 3 are red, and 3 are blue.) A marble is chosen from the bag at random. What is the
probability that it is yellow or red?
Write your answer as a fraction or a whole number.
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Hi there!
We're given that there are 8 marbles in total. 2 marbles are yellow and 3 are red, making the number of red AND yellow marbles 5 (2+3=5)
Because 5 out of the 8 marbles are yellow or red, the probability of choosing one of them is [tex]\frac{5}{8}[/tex].
I hope this helps!
Answer:
P(Red or Yellow) = 5/8
Step-by-step explanation:
2 (yellow) + 3 (red) = 5
Hence, the probability is 5/8
Feel free to mark it as brainliest :D
Find the common difference of the arithmetic sequence -16 -13 -10
Answer:
3
Step-by-step explanation:
-16+3= -13
-13+3= -10
the next number would be -7
I. B. Find the circumference of the following given data,
1. r= 15m
2. r = 25cm
3. d = 30m
4. d = 10m
5. r = 7cm
round to the nearest hundredth . 7.428
Answer:
7.43
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
7.43
Step-by-step explanation:
So lets go over a few things:
In decimal form, you start of in the tenths.
So in this case that is 4.
After tenths, is hundreths, thousandths, ten thousandths, etc.
Since hundreths comes after the tenths, that will be 2.
Any number 5 or greater will be rounded up, and any number below 5 is rounde down.
Now, to find if we raise or lower the hundreths(which is 2), we must see if the thousandth splace is above or lower than 5.
We can see that our thousandths is 8.
Since 8 is higher than 5, the 2 in our hundreths place will go up to 3.
So we get:
7.43
Hope this helps!
Helppp please and thank you !
Answer:
209 (Sorry if wrong)
Step-by-step explanation:
12x12=144
13x5=65
144+65=209
==================================================
How to get that answer:
We have a 12 by 12 square of area 12*12 = 144 square meters.
Then on top of this we have a triangle with base 12 and height 5, so its area is base*height/2 = 12*5/2 = 60/2 = 30 square meters
Overall, the two areas combine to 144+30 = 174 square meters
---------
Side notes:
The missing side of the triangle can be found through the pythagorean theorem. You could use the trapezoid area formula as an alternative path, instead of finding the area of each smaller piece.We can condense the unit "square meters" into "sq m" or "m^2".Reflect the following points over the
x-axis. (-5, -3) (-2,-6) (-4,-8)
Reflect over x-axis rule: (x,y) -> (x,-y)
(-5,3) --> (-5,-3)
(-2,-6) --> (-2,6)
(-4,-8) --> (-4,8)
Which pair of functions are inverses of each other?
Wanting to make sure of answers in this pretest
Answer:
The only pair of functions that are inverses of each other are the ones for option D.
Step-by-step explanation:
Two functions, f(x) and g(x), are inverses if and only if:
f( g(x) ) = x
g( f(x) ) = x
So we need to check that with all the given options.
A)
[tex]f(x) = \frac{x}{7} + 10 \\g(x) = 7*x - 10\\[/tex]
then:
[tex]f(g(x)) = \frac{7*x + 10}{7} -10 = x + \frac{10}{7} - 10[/tex]
This is clearly different than x, so f(x) and g(x) are not inverses.
B)
[tex]f(x) = \sqrt[3]{11*x} \\g(x) = (\frac{x}{11} )^3[/tex]
Then:
[tex]f(g(x)) = \sqrt[3]{11*(\frac{x}{11})^3 } = \sqrt[3]{\frac{x^3}{11^2} } = \frac{x}{11^{2/3}}[/tex]
This is different than x, so f(x) and g(x) are not inverses.
C)
[tex]f(x) = \frac{7}{x} -2 \\g(x) = \frac{x + 2}{7}[/tex]
Then:
[tex]f(g(x)) = \frac{7}{\frac{x + 2}{7} } - 2 = \frac{7*7}{x + 2} - 2[/tex]
Obviously, this is different than x, so f(x) and g(x) are not inverses.
D)
[tex]f(x) = 9*x - 6\\g(x) = \frac{x + 6}{9}[/tex]
Then:
[tex]f(g(x)) = 9*\frac{x + 6}{9} - 6 = x + 6 - 6 = x\\g(f(x)) = \frac{(9*x - 6) + 6}{9} = x[/tex]
In this case we can conclude that f(x) and g(x) are inverses of each other.
cuanto es 1+1 y 50+4
Answer:
1+1=2
50+4=54
54+2=56
Step-by-step explanation:
Answer:1+1 es 2 50+4 es 54
Step-by-step explanation:primero te debes de dar cuenta que 1+1 es 2 si te fijas en el 1 la parte de ariba si lo multiplicas por 2 lo divides por 2 luego le restas 1 y le sumas 2 y le restas 1 y lo vuelves a multiplicar por 2 te das cuenta que seria la misma respuesta que seria en total el resultado seria 2 y el de 50+4 es 54 porque si te das cuenta el numero cubico la cuadrado es 2345432345654323456543234543234543234543 respuesta justificada
A distance of 400 km is represented in the map by 3 cm. What is the distance between two towns if they are 7.5 cm apart in the map?
Answer:
The distance between the two towns is of 1000 km.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
We have that:
3 cm represents a distance of 400 km.
What is the distance represented by 7.5 cm?
3 cm - 400 km
7.5 cm - x km
Applying cross multiplication:
[tex]3x = 400*7.5[/tex]
[tex]x = \frac{400*7.5}{3}[/tex]
[tex]x = 1000[/tex]
The distance between the two towns is of 1000 km.
A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.
Answer:
Step-by-step explanation:
Look at the cylinder.
What is the total surface area?
Edward took a survey of his classmates to see how many pets each student has. The dot plot shows the results of his survey
convert 4/5 into percent
Help pls I’ll give extra points
Answer:
a
Step-by-step explanation:
you are correct it is a (decreases) when objects move farther away the strength of the force becomes less.
Once again, I'm asking for assistance in this problem. I thought it was 1/6 but I'm unsure. Someone help. The number next to 2/5 is 1/5.
Answer:
Equation of the parabola: or
Vertex form:
Intercept form:Step-by-step explanation:
Convert 69 g/cm to kilograms per meter (kg/m).
Answer:
69g/cm is 6.9kg/m
Step-by-step explanation:
[tex]1 g --> \frac{1}{1000}kg\\\\69g --> \frac{69}{1000}kg\\\\1cm --> \frac{1}{100}m\\\\\frac{69 g}{1cm} = \frac{\frac{69}{1000} }{\frac {1}{100}} = \frac{69}{1000} \times \frac{100}{1} = \frac{69}{10} = 6.9kg/m[/tex]
Answer:
[tex]69 \: g {cm}^{ - 1} \\ 69 \times {10}^{ - 3} \times ({10}^{ - 2} ) ^{ - 1} kg \: {m}^{ - 1} \\ 69 \times {10}^{ - 1} \: kg {m}^{ - 1} \\ 6.9 \: kg {m}^{ - 1} [/tex]
I GIVE BRAINLIEST!!!
Margie needs to borrow $9,000 from a local bank. The loan has a 8.5% interest rate for 4 years. What will Margie's monthly payment be?
Answer: I'm sorry I don't know but il try and calculate the answer for you
Step-by-step explanation:
The blue dot is at what value on the number line?
I'm really desperate, please help me. I'll give the person who has the correct answer brainliest.
Answer:
-19
Step-by-step explanation:
It's going by three's
Stuart throws a biased coin 10 times.
He gets 7 Tails.
Maxine throws the same coin 50 times.
She gets 30 Tails.
Prasha is going to throw the coin once.
(i) Whose results will give the better estimate for the probability that she will get Tails,
Stuart's or Maxine's?
You must give a reason for your answer.
Answer:
Below.
Step-by-step explanation:
1. Prasha's result is better as she tossed the coin the most times.
The result which gives a better estimate of obtaining tail is that which provides a greater probability, hence, Stuart's result is better.
Recall :
Probability = required outcome / Total possible outcomesStuart's throw:
Number of tails = 7Number of throws = 10P(Tail) = 7/10 = 0.7Maxine's throw :
Number of throws = 50Number of tails = 30P(Tail) = 30 / 50 = 0.6The result with higher probability gives the better estimate of obtaining tail.
Therefore, Stuart's result will be a better estimate.
Learn more : https://brainly.com/question/18153040
Please help me with simplifying this equation? (-5)^5/ (-5)^-6
Thanks
A sample of 1,000 adults showed that 31% of them are
smokers. To estimate the proportion of people in the entire population who smoke, what additional information would you need?
Select one:
A. The size of the population
B. The length of time the people smoked
C. All the information you need is contained in the problem
D. The amount of confidence you desire in your estimate
Answer:
C. All the information you need is contained in the problem.
310 people of 1000 people smoke.
Step-by-step explanation:
[tex]\frac{y}{1000}: \frac{31}{100}[/tex]
y · 100 = 31 · 1000
100y = 31000
100y ÷ 100 = 31000 ÷ 100
y = 310
WILL MARK BRAINLIEST!!!
Solve for the listed Angles of the circle. Question in the picture
Please help me!!!
Find the measure of angle x in the figure below:
Answer:
Step-by-step explanation:
One box has 16 apples. Another box has 24 lemons. Each apple weighs twice as much as each lemon. If A is the weight of the box of apples
and B is the weight of the box of lemons, what is?
Answer:
48
Step-by-step explanation:
If h is positive, move h units
Answer:
what's your question mean I don't understand it
Step-by-step explanation:
Have a great day
The library surveyed 180 people about their favorite type of movie. If 40% of the people chose action, how many people chose action?
Answer:72
Step-by-step explanation:
Jack wants to abopt all kittens that weigh more than 4 ounces how many kittens will he abopt
What is the area of the base of the cone below? 12ft v=90ft^3
Answer: C 22.5 ft2!
Step-by-step explanation:
i took the test, have a great day:) <3
Answer:
right
Step-by-step explanation: