Answer:
24 marbles
Step-by-step explanation:
P( purple) = 2/3 = purple/total
2/3 = 16/total
Using cross products
2 * total = 3 *16
2 * total = 48
total = 24
There are 24 marbles
Solve 3x – 1.1 = 0.7
Answer:
x = 0.6
Step-by-step explanation:
3x - 1.1 = 0.7
3x = 1.8
x = 0.6
Answer:
x = .6
Step-by-step explanation:
3x – 1.1 = 0.7
Add 1.1 to each side
3x – 1.1+1.1 = 0.7+1.1
3x = 1.8
Divide each side by 3
3x/3 = 1.8/3
x = .6
Round each number to three significant figures.a. 3.14159 b. 6.12356c. 4.56787
Answer:
The round off values are- 3.14, 6.12, and 4.57 respectively.
Step-by-step explanation:
The given value to which we have to round off is a. 3.14159 b. 6.12356 c. 4.56787
In order to round off the number we must keep in mind that there should be three digits in total and we will increase the value by one if the right-hand side value is more than 5.
Thus round off figure of 3.14159 is 3.14.
The round off figure of 6.12356 is 6.12.
The round off figure of 4.56787 is 4.57.
Use the drop-down menus to identify the GCF of each pair of numbers.
The GCF of 12 and 16 is
The GCF of 15 and 60 is
The GCF of 24 and 30 is
The GCF of 18 and 72 is
Answer:
4, 15, 6, 18.
Step-by-step explanation:
12 = 1, 2, 3, 4, 6, 12 16 = 1, 2, 4, 8, 16 The GCF of 12 and 16 is 4 because when you compare the numbers that go into 12 and 16, 4 is the highest number that they both are multiples of.Try the others by yourself and if you have any questions ask me in the comments
If $10,000 is placed in an investment paying 4.8% yearly interest compounded annually, how long will it take for the account to double?
Answer:
15 years.
Step-by-step explanation:
We have the equation:
20000 = 10000(1 + 0.048)^t where t is the number of years.
1.048 t = 20000/10000 = 2
Taking logs:
t ln 1.048 = ln 2
t = ln 2 / ln 1.048
t = 14.78
Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. for any minutes over 200, andrew is charged $0.39 per minute. which of the following piece-wise functions represents charges based on andrews cell phone plan?
Answer:
f (x) = { 19 + 0.39(x - 300), x > 300
Step-by-step explanation:
Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan. If then If then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore Hence, { 19 + 0.39(x - 300), x > 300
Hoped I helped
Julio is paid 1.1 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 45 hours and eamed $520.80. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable. The earnings equation is $520.80 = Julio's hourly rate is $ per hour. This is reasonable because working 45 hours at a rate of $11 per hour is 45 - 11 = 45(10+1)=450 + 45 = |, and $ is dose to $520.80.
PLEASE ANSWER ASAP!!
Julio's hourly rate is going to be $14.4 per hour
Calculate the perimeter of the segment of a circle of radius 8cm. If chord subtemds angle 98 degree at the center
Answer:
If radius = 8 cm and we needed perimeter of complete circle then
circumference (or perimeter) = 2*PI * 8 = 50.2654824574 cm
or 50.27 cm (rounded)
Step-by-step explanation:
A rectangle has_______sides that are straight lines, ______ and _____ opposite sides, and angles of _____. I need help
Answer:
A rectangle has_four_sides that are straight lines, _parallel_ and _equal_ opposite sides, and angles of [tex]90^o[/tex]_.
Step-by-step explanation:
Which of these fractions are greater than 11/20 ?
a. 3/4
b. 3/10
c. 4/5
d. 1/2
Answer:
A.
Step-by-step explanation:
All you have to do is convert all those fractions to 20.
So 3/4 will be 15/20, 3/10 would be 6/20, 4/5 would be 16/20 and 1/2 would be 10/20. It could be a or b. Does it say select all possible answers?
PLEASE HELP ME!!! Which expression is equivelent to 4(9+7) A. 36 + 7 B. 13 + 11 C. 36 + 28 D. 13 + 7
Answer:C
Step-by-step explanation:
9+7=16
16 times 4 = 64
36+28=64
can y’all help me i keep posting this question and people keep guessing and i keep getting it wrong :/
Answer:
C
Step-by-step explanation:
So we have:
[tex]\frac{6^{\frac{3}{10}}}{6^\frac{1}{5}}[/tex]
To simplify, we can use the quotient rule of exponents, which says that if we have:
[tex]\frac{x^a}{x^b}[/tex]
Then this equals:
[tex]=x^{a-b}[/tex]
So, our equation will be:
[tex]\frac{6^{\frac{3}{10}}}{6^\frac{1}{5}}\\=6^{\frac{3}{10}-\frac{1}{5}}[/tex]
Subtract the exponents. Turn 1/5 into 2/10 by multiplying both layers be 2. Thus:
[tex]6^{\frac{3}{10}-\frac{1}{5}}\\=6^{\frac{3}{10}-\frac{2}{10}}[/tex]
Subtract in the exponent:
[tex]=6^{\frac{1}{10}}[/tex]
So, our answer is C :)
The within-subjects F is the non-independent groups equivalent of the one-way ANOVA. True or False?
Answer:
Step-by-step explanation:
True
What is the constant of proportionality
Answer:
The equation for constant of proportionality is:
y = kx
K = Constant of proportionality
An example:
4y = 8x
=> 4y/4 = 8x/4
=> y = 2x
In the answer, y = 2x; 2 is the constant of proportionality
Answer:
it is ratio of the amount s y and x:k = y/x. put another way: y = Kx.
Example:- you are paid 20 rupaye an hour the constant of proportionality is 20
because pay = 20 hours worked
The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 33 mm and standard deviation 7.9 mm. (a) What is the probability that defect length is at most 20 mm
Answer:
0.49926
Step-by-step explanation:
We solve for this using z score formula
z-score is
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation
The probability that defect length is at most 20 mm is calculated as:
x = 20mm, μ = 33 mm, σ = 7.9mm
z = 20 - 33/7.9
= -13/7.9
= -1.64557
Obtaining the Probability value from Z-Table:
Probability (At most 20mm) = P(x ≤ 20mm) P(z = -1.64557)
P(x ≤ 20) = 0.049926
Therefore, the probability that defect length is at most 20 mm is 0.049926
Answer:
The probability that defect length is at most 20 mm is 0.0495.
Step-by-step explanation:
We are given that the defect length of a corrosion defect in a pressurized steel pipe is normally distributed with a mean value of 33 mm and a standard deviation of 7.9 mm.
Let X = the defect length of a corrosion defect in a pressurized steel pipe
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = mean defect length = 33 mm
[tex]\sigma[/tex] = standard deviation = 7.9 mm
So, X ~ Normal([tex]\mu=33 \text{ mm}, \sigma^{2} = 7.9^{2} \text{ mm}[/tex])
Now, the probability that defect length is at most 20 mm is given by = P(X [tex]\leq[/tex] 20 mm)
P(X [tex]\leq[/tex] 20 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{20-33}{7.9}[/tex] ) = P(Z [tex]\leq[/tex] -1.65) = 1 - P(Z < 1.65)
= 1 - 0.9505 = 0.0495
The above probability is calculated by looking at the value of x = 1.65 in the z table which has an area of 0.9505.
What is the probability of rolling a 2 and then a 4? Answer choices are in the form of a percentage, rounded to the nearest whole number.
Question:
Carl throws a single die twice in a row. For the first throw, Carl rolled a 2; for the second throw he rolled a 4. What is the probability of rolling a 2 and then a 4? Answer choices are in the form of a percentage, rounded to the nearest whole number. O 22% 36% O 3% O 33%
Answer:
The probability of rolling a 2 then 4 is 3%
Step-by-step explanation:
Given
A die rolled twice
Required
Probability of rolling a 2 then 4; i.e. P(2 n 4)
First, we need to list out the sample space
[tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]n(S) = 6[/tex]
Next, is to calculate P(2)
[tex]P(2) = \frac{n(2)}{n(S)}[/tex]
[tex]P(2) = \frac{1}{6}[/tex]
Next, is to calculate P(4)
[tex]P(4) = \frac{n(4)}{n(S)}[/tex]
[tex]P(4) = \frac{1}{6}[/tex]
Next,is to calculate the required probability using the following formula
[tex]P(2\ n\ 4) = P(2) * P(4)[/tex]
[tex]P(2\ n\ 4) = \frac{1}{6} * \frac{1}{6}[/tex]
[tex]P(2\ n\ 4) = \frac{1}{36}[/tex]
[tex]P(2\ n\ 4) = 0.02777777777[/tex]
Convert to Percentage
[tex]P(2\ n\ 4) = 2.777777777\%[/tex]
Approximate
[tex]P(2\ n\ 4) = 3\%[/tex]
Hence, the probability of rolling a 2 then 4 is 3%
Answer:
3%
Step-by-step explanation:
Being able to open and close windows is not a primary technology skill. Please select the best answer from the choices provided
Answer: False
Step-by-step explanation:
Primary technology skills are simply the skills which are vital in order to attain success in online education. It should be noted that technical skills are knowledge and abilities that are related to information technology which are needed to do certain tasks.
It should be noted that online education is the form of education that is delivered and being administered through the internet.
For one to learn online, it should be noted that being able to open and close windows is a primary technology skill.
Therefore, the statement in the question is false.
Answer: F
I already did the test
Interpret the coefficient of variation according to the context, determining the most homogeneous set
Answer:
2009 data set is most homogeneous
Step-by-step explanation:
As per coefficient of variation, which is around 5% for the year 2009 and around 20% for the year 2010 we can state that the data set for the year 2009 is most homogeneous
Homogeneous means similar, it can be observed on the graph as well that the data for the year 2009 is less variant
Hope it answers your question.
If m/_a is 155º, what is m/_c?
Pls help ASAP
What is the slope of a line that passes through the points (-2,4) and (-6,12) Give your answer in lowest terms
Answer:
-2
Step-by-step explanation:
We can find the slope for two points
m = ( y2-y1)/(x2-x1)
= ( 12 - 4)/(-6- -2)
= 8/( -6+2)
= 8/-4
= -2
find sum of series: 1+2+3+...+n
Answer:
the sum of the this series is Sn = [n(n+1)] / 2
A dilation by a factor of 7/8 maps triangle ABC to triangle XYZ. Segment BC has a length of 4 cm.
What is the length of segment YZ?
3.5 cm
7.8 cm
4.5 cm
0.5 cm
HELP ASAPPPPP
Un guardia forestal divisa, desde un punto de observación A, un incendio en la dirección N27° 10’ E. Otro guardia, que se encuentra en el punto de observación B, a 6 millas al este de A, ve el mismo fuego en la dirección N52° 40’ W. Calcula, al décimo de milla más cercano la distancia de cada uno de los puntos de observación al incendio
Answer:
la distancia del punto de observación A al incendio = 5.5 millas
la distancia del punto de observación B al incendio = 3.8 millas
Step-by-step explanation:
La expresión esquemática de la pregunta se puede ver en la imagen adjunta a continuación :
Del siguiente diagrama;
Usando la sine regla:
[tex]\dfrac{sin \ F}{f} = \dfrac{sin \ A }{a}[/tex]
[tex]\dfrac{sIn \ 79}{6} = \dfrac{sin \ 63}{a}[/tex]
a sin 79 = 6 sin 63
[tex]a =\dfrac{6 \times sin \ 63}{sin \ 79}[/tex]
[tex]a =\dfrac{6 \times 0.8910}{0.9816}[/tex]
a = 5.446 millas
la distancia del punto de observación A al incendio = 5.5 millas (a la décima más cercana)
[tex]\dfrac{sin \ F}{f} = \dfrac{sin \ B}{b}[/tex]
[tex]\dfrac{sin \ 79}{6} = \dfrac{sin \ 38}{b}[/tex]
b sin 79 = 6 sin 38
[tex]b = \dfrac{6 \times sin \ 38}{sin \ 79}[/tex]
[tex]b = \dfrac{6 \times0.6157 }{0.9816}[/tex]
b = 3.7635 millas
la distancia del punto de observación B al incendio = 3.8 millas (a la décima más cercana)
f(x) = 5(x+4) − 6, solve for the inverse function when x = 19
Answer:
-1
Step-by-step explanation:
First find the inverse function. Rewrite the given function as
y = 5(x + 4) - 6 = 5x + 20 - 6 = 5x + 14
Second, interchange x and y:
x = 5y + 14
Third, solve this result for y:
5y = 14 - x, or y = (1/5)(14 - x)
This last result is the inverse function of the given f(x).
The value of this inverse at x = 19 is (1/5)(14 - 19) = (1/5)(-5) = -1
f(x) = -x² – 3 x + 3
Find f(7)
the answer is -67 because you use the given function to set up and simplify f(7).
solve for x 30=5(x + 5)
Answer:
x = 1
Step-by-step explanation:
Given
30 = 5(x + 5) ← divide both sides by 5
6 = x + 5 ( subtract 5 from both sides )
1 = x
Answer:
Step-by-step explanation:
30 = 5(x + 5) ← divide both sides by 5
6 = x + 5 ( subtract 5 from both sides )
x=1
please help me in this question!
Answer:
n = 5
Step-by-step explanation:
All of the other choices are true except for n = 5, which is a counterexample. [tex]4^{5}[/tex] = 1024, which is greater than the other side as the other side is:
and [tex]4^{2}[/tex] = 16, 16 + 250 = 266
1024 < 266 is definitely false.
Therefore, the counterexample is n = 5.
An 14-meter-tall cylindrical tank with a 2-meter radius holds water and is half full. Find the work (in mega-joules) needed to pump all of the water to the top of the tank. (The mass density of water is 1000 kg/m3. Let g = 9.8 m/s2. Round your answer to two decimal places.)
Answer:
to two decimal places
= 6.04 mega joules
Step-by-step explanation:
The volume of the half tank
= πr²h
r= 2 m
h= 14/2= 7 m
Volume= 22/7 *2² *7
Volume= 88 m³
work (in mega-joules) needed to pump all of the water to the top of the tank
= Volume*mass density *acceleration*distance
= 88*1000*9.8*7
= 6036800 joules
In mega joules
= 6.036800 mega Joules
to two decimal places
= 6.04 mega joules
The work needed to pump all of the water to the top of the tank is 6.03 MJ
What is work?
Work is said to be done whenever a force move a body through a certain distance.
To calculate the work needed to pump the water to the tank, first we need to find the volume of the water in the tank half full.
Formula:
V = πr²h/2................ Equation 1Where:
V = Volume of half full water in the tankh = height of the tankr = radius of the base of the tankπ = pieFrom the question,
Given:
r = 2 mh = 14 mπ = 3.14Substitute these values into equation 1
V = 3.14(2²)(14)/2V = 87.92 m³.Finally, to get the work needed to pump all the water to the top of the tank, we use the formula below.
W = ρVhg/2................. Equation 2Where:
W = Work needed to pump all the water to the of the tankρ = Density of the tankh = height of the tankV = Volume of halfull water in the tankg = acceleration due to gravityFrom the question.
Given:
ρ = 1000 kg/m³h = 14g = 9.8 m/s²V = 87.92 m³Substitute these values into equation 2
W = 1000(14)(9.8)(87.92)/2W = 6031312 JW = 6.03 MJ.Hence, The work needed to pump all of the water to the top of the tank is 6.03 MJ.
Learn more about work here: https://brainly.com/question/8119756
The last digit of the heights of 39 statistics students were obtained as part of an experiment conducted for a class. Use the frequency distribution below to construct a histogram. Choose the correct histogram below. Answer
Answer: 32
Step-by-step explanation:
Write an inequality for the graph shown below.
Use x for your variable.
Answer:
x ≤ 3
Step-by-step explanation:
In the graph given, values of variable x is represented.
From the plot, we note that a small circle is at point 3 on the numberline. This small "o" is shaded, which indicates that the values of x includes 3.
The arrow which starts at 3 on the numberline, points towards our left. This means that the values of x are less than or equal to 3. No value of x is greater than 3.
Therefore, the following inequality can be written for the graph:
x ≤ 3
if you have driven 225 miles in 3 hours, then how long would it take you to drive 300 miles?
Answer:How many miles can a car be driven in 3 hours at 50 miles per hour? Under normal circumstances and the generally assumed conditions, the answer is of course (3 hours) * (50 miles / hour) = 150 miles.
3.5 hours
It will take you 3.5 hours to go 280 miles at 80 miles an hour.It travels at constant speed for the remaining time. Let x be the time traveled at the unknown constant speed. The total itme for the trip was 6 hours so: 6 = time traveled at 50 mph + time traveled at 60 mph + time traveled at x mph.
Step-by-step explanation:So you drive 25 miles / hour. then 25 miles/ 1 hour = 225 miles / nb of hours.2 minutes
However, traveling at 30 MPH for 1 mile (1 lap) takes 2 minutes, which means that your average will never be 60MPH.approximately 0.6818 miles per hour.