Answer:
3.14, confirmed on Edge
Step-by-step explanation:
Since this cylinder has a radius of 1 inch, its volume is equal to 3.14 cubic inches.
Given the following data:
Radius of cylinder = 1 inch.
Height of can = 1 inch.
[tex]\pi =3.14[/tex]How to calculate the volume.Mathematically, the volume of a cylinder is given by this formula:
[tex]V = \pi r^2h[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]V = 3.14 \times 1^2 \times 1\\\\V=3.14 \times 1[/tex]
V = 3.14 cubic inches.
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Elliot spent 3/5 of his money on stereo equipment and 1/6 of the money he had left on lunch. He left the house with $24. How much money did Elliot return with?
is 78 closer to 77.54 or 77.6 closer to 77.54
All the items on the sale rack were 75 percent off their original price.
If Jill bought an item on the sale rack and saved a total of $84, what is the value of x in the table above?
Answer:
112 $ is the original price
Step-by-step explanation:
[tex]x \times 0.75 = 84 \\ x = 84 \div 0.75 \\ x = 112[/tex]
you have to think that the original price multiplied by 0.75 (also known as 75%) gave the result of what he saves i.e 84 $. So we put up an equation with the original price multiplied by 75% which equals the 84 $ he saved on buying that item on sale
The value of x in the table above is $112.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Given;
All the items on the sale rack were 75 percent off their original price.
Jill bought an item on the sale rack and saved a total of $84
Now,
Let the original price without off be x
84*100/x=75
8400/75=x
x=112
Therefore, the price without 75 percent of will be $112
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You buy a costume for $250 and fifty pieces of candy
that each cost the same amount. You spend a total of
$270. What is the price of each piece of candy?
Answer:
¢40 or $0.40
Step-by-step explanation:
270 - 250 = 20
20 ÷ 50 = 0.4
The first aircraft has 89 more seats than the second aircraft. The third aircraft has 45 fewer seats than the second aircraft. If their total number of seats is 401, find the number of seats for each aircraft
Answer: The first aircraft has 208 seats.
The second aircraft has 119 and the third has 74.
Step-by-step explanation:
The equation is x+89 + x + x-45 = 401
combine terms: 3x + 44 = 401 Subtract 44 from both sides 3x=357
divide both sides by 3
x= 119
substitute x in each term of the equation to find the number of seats on each aircraft
119 + 89 = 208 for #1 x= 119 for #2 119- 45= 74 for #3
What number is an interger?
Answer:
21, 4, 0, and −2048 are intergers
Step-by-step explanation:
Nicholas took a total of 10 quizzes over the course of 2 weeks. How many weeks of school will nicholas have attend this quarter before he will have taken a total of 15 quizzes?
Answer:
would be 3 weeks
Step-by-step explanation:
He is taking about 5 each week he has done 10 in 2 weeks so should be 3 weeks.
Answer:
3 weeks
Step-by-step explanation:
2 weeks is 10 quizzes and 1 week is 5 quizzes, so 2+1=3
Fill in the missing num W + 2 7 9 2
Answer:
What are you asking? What does it equal? W+2792=??
Answer:
there is no number that could fit, it actually could be anything, I think that there is a part of the problem not there that is a expression to solve that you need a equation
Step-by-step explanation:
Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in probability, inference, or statistical computing. Assume that more than one section of each course is offered. List the outcomes in the sample space [Hint: each element consists of a pair of assignments]. Find the probability that they will teach different courses. Note: carefully define your notation (e.g. any events) in words before solving the problem.
Answer:
The probability that they will teach different courses is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
Sample space is a set of all possible outcomes of an experiment.
In this case we will write the sample space in the form (x, y).
Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.
Denote every course by their first letter.
The sample space is as follows:
S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}
The outcomes where the the instructors will teach different courses are:
s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}
The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
Compute the probability that they will teach different courses as follows:
[tex]P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}[/tex]
Thus, the probability that they will teach different courses is [tex]\frac{2}{3}[/tex].
Wright the number 972,274 in words
Answer:
Nine hundred seventy two thousand two hundred seventy four. Hope this helps
3.2x-1.7x+5.5=10
How dI yoI solve this
The value of x is 0.918 for the equation 3.2x - 1.7x + 5.5 = 10.
To determine this equation 3.2x - 1.7x + 5.5 = 10,
3.2x - 1.7x + 5.5 = 10
Subtract 10 on both side,
3.2x - 1.7x + 5.5 - 10 = 10 - 10
3.2x - 1.7x + 4.5 = 0
Subtract 4.5 on both side,
3.2x - 1.7x = -4.5.
4.9x = -4.5
x = 0.918.
Therefore, the value of x is 0.918.
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The "cold start ignition time" of an automobile engine is being investigated by a gasoline manufacturer. The following times (in seconds) were obtained for a test vehicle: 1.75, 1.92, 2.62, 2.35, 3.09, 3.15, 2.53, and 1.91. (a) Calculate the sample mean and sample standard deviation. (b) Construct a box plot of the data.
Answer:
(a) The sample mean and sample standard deviation are 2.415 and 0.5342 respectively.
(b) Shown below.
Step-by-step explanation:
The data set provided is:
S = {1.75, 1.92, 2.62, 2.35, 3.09, 3.15, 2.53, and 1.91}
(a)
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum\limits_{i}{x_{i}} =\frac{1}{8}\times 19.32=2.415\\\\\\s=\sqrt{\frac{1}{n-1}\sum\limits_{i}{(x_{i}-\bar x^{2})^{2}}}=\sqrt{\frac{1}{8-1}\times 1.9976}=0.5342[/tex]
Thus, the sample mean and sample standard deviation are 2.415 and 0.5342 respectively.
(b)
Use SPSS to form a Box plot.
Go to Graphs → Legacy Dialogs → Boxplot
A dialog box will open.
Select "Simple".
Select "Summaries for Separate Variable"
Press "Define"
Another dialog box will open.
Select the variable.
Press OK.
The box plot is attached below.
These algebraic expressions are not equivalent. Explain
why they are not equivalent.
+ 8x – x2 - 6x
2x² – 2x
x2-1 + 8x
Answer:
If you simplify the first expression, you will not get the second expression. In the first expression, the x2 terms have coefficients of 1 and –1 and, when combined, the result is 0. Also, the x terms have coefficients of 8 and –6 and, when combined, the result is 2. Finally, the constant from the first expression is not in the second expression.
Step-by-step explanation:
Five times of a positive integer is less than twice its square by 3. Write the equation that characterizes this number. (use x for the positive number)
Answer:
2x² - 5x - 3 < 0
let the positive integer be 'X'
5x < 2x² - 3
-2x² + 5x + 3 < 0
The equation is 2x² - 5x - 3 < 0
How can insurance protect you from financial loss?
Insurance can offer easy monthly payment options for premiums.
Insurance can offer warranties on household items.
Insurance can offer low co-insurance policies.
Insurance can cover you or your property in case of an accident, theft, or another unpredictable event.
Answer:
Insurance can cover you or your property in case of an accident, theft, or another unpredictable event.
Before 1918, approximately 40% of the wolves in a region were male, and 60% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 60% of wolves in the region are male, and 40% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male
Answer:
P(≥ 7 males) = 0.0548
Step-by-step explanation:
This is a binomial probability distribution problem.
We are told that Before 1918;
P(male) = 40% = 0.4
P(female) = 60% = 0.6
n = 10
Thus;probability that 7 or more were male is;
P(≥ 7 males) = P(7) + P(8) + P(9) + P(10)
Now, binomial probability formula is;
P(x) = [n!/((n - x)! × x!)] × p^(x) × q^(n - x)
Now, p = 0.4 and q = 0.6.
Also, n = 10
Thus;
P(7) = [10!/((10 - 7)! × 7!)] × 0.4^(7) × 0.6^(10 - 7)
P(7) = 0.0425
P(8) = [10!/((10 - 8)! × 8!)] × 0.4^(8) × 0.6^(10 - 8)
P(8) = 0.0106
P(9) = [10!/((10 - 9)! × 9!)] × 0.4^(9) × 0.6^(10 - 9)
P(9) = 0.0016
P(10) = [10!/((10 - 10)! × 10!)] × 0.4^(10) × 0.6^(10 - 10)
P(10) = 0.0001
Thus;
P(≥ 7 males) = 0.0425 + 0.0106 + 0.0016 + 0.0001 = 0.0548
What are the possible rational roots of the polynomial equation?
0=2x9−3x7+11x+10
Answer:
+-1, +-2,+-5, +-10
Step-by-step explanation:
you first find all the numbers that can go into the constant which is 10, so negative and positive 1 can go into 10, negative and positive 2 can go into 10 etc.
The possible rational roots of the polynomial equation
[tex]1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10[/tex]
Given :
The polynomial equation is
[tex]2x^{9}-3x^{7}+11x+10=0[/tex]
To find out possible rational roots, we use rational root theorem
Rational root of the form
[tex]\frac{p}{q}[/tex] where p is the constant and q is the leading coefficient
p=10 and q=2
Lets write all the factors of 10 and 2
Factors of 10 are 1,2,5,10
factor of 2 are 1,2
Rational root of the form
[tex]+- factors of \frac{p}{q} =+-\frac{1,2,5,10}{1,2}[/tex]
We consider both positive and negative factors. Ignore the repeated roots
So possible rational roots are
[tex]1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10[/tex]
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Solve for n.
4n + 7 = 19
n =
Let X be an exponential random variable with parameter λ=2 . Find the values of the following. Use 'e' for the base of the natural logarithm (e.g., enter e^(-3) for e−3 ).
a) E[(3X+1)2]=
b) P(1≤X≤2)=
Answer:
a
[tex]E[(3X+1)^2]= 8.5 [/tex]
b
[tex]P(1 < X < 2)=0.1170 [/tex]
Step-by-step explanation:
From the question we are told that
The parameter of X is [tex]\lambda = 2[/tex]
Generally the expected value of X is
[tex]E(X) = \frac{1}{\lambda }[/tex]
[tex]E(X) = \frac{1}{2}[/tex]
=> [tex]E(X) = 0.50 [/tex]
Generally we have that
[tex]E(X^2) = E(X)^2 + E(X)^2[/tex]
=> [tex]E(X^2) = [\frac{1}{2}] ^2 + [\frac{1}{2} ]^2[/tex]
=> [tex]E(X^2) = 0.5 [/tex]
Generally
[tex]E[(3X+1)^2]= E(9x^2 + 1 + 6x)[/tex]
=> [tex]E[(3X+1)^2]= 9E[X^2] + 1 + 6 E[X])[/tex]
=> [tex]E[(3X+1)^2]= 9* 0.5 + 1 + 6 * 0.5 [/tex]
=> [tex]E[(3X+1)^2]= 8.5 [/tex]
Generally
[tex]P(1 < X < 2)= P(X < 2) - P(X < 1)[/tex]
Here [tex]P(X < 2 ) = e^{- 2 * \lambda }[/tex]
=> [tex]P(X < 2 ) = e^{- 2 * 2 }[/tex]
=> [tex]P(X < 2 ) = e^{- 4}[/tex]
and
[tex]P(X < 1 ) = e^{- 1 * \lambda }[/tex]
[tex]P(X < 1 ) = e^{- 1 * 2 }[/tex]
[tex]P(X < 1 ) = e^{-2 }[/tex]
So
[tex]P(1 < X < 2)= e^{-2 } - e^{- 4} [/tex]
[tex]P(1 < X < 2)=0.1170 [/tex]
If: \qquad AC = 64 AB = 7x + 8, and BC= 3x+6, Find BC
The answer is 21.
First you Add both AB and BC which is 10x +14. Then you put 64 into the equation. 10x+14=64. Subtract 14 from 64 which is 50. So 10x=50. Then divide 10 from 50. which would be x=5. So if you plug it in. It would be 21.
Marcus is buying a pair of running shoes that are discounted 20% from the original price
of $100. The store is also having a holiday sale, so they will take an additional 20% off the
sale price. How much will Marcus pay for his shoes?
Answer: $64
Step-by-step explanation:
20% of 100 is 20 so 100-20=80. Also 20% of 80 is 16. So 80-16=64. So that’s the answer.
State the domain plssssa
Answer:
I think it's {3, 6, 12, 18}
Step-by-step explanation:
Domain: all x-values that are to be used (independent values).
Write an equation in points-slope form of the line that passes through (7,-6) and has the slope m= 1/2
Answer: point-slope form is [tex](y -y_{1} ) = m(x - x_{1} )[/tex]
9.5 -(-6) = 1/2(0-7)
Step-by-step explanation: You can get a y-intercept by substituting the x and y values from the given coordinate into the slope-intercept form and solve for b.
y = mx + b
-6 = 1/2(7) + b
-6 = 3.5 + b
-9.5 = b Slope-intercept equation for this question would be y = x/2 - 9.5
Then use the coordinates of the y-intercept to create the point-slope equation
(-9.5 -[-6]) = 1/2(0-7)
х
0
1
у
—125
-121
-93
-17
131
2
3
4
Is the answer-2
Answer:
IDEK That is a bunch of numbers
For f(x)=5x+1. Find f(-4)
Answer:
-19
Step-by-step explanation:
f(x)=5x+1
F(-4) - substitute -4 as the x
F(-4)=5(-4)+1
F(-4) = -20 + 1
f(-4) = -19
round 67,103 and 1,273 to nearest hundred
Answer:
67100
1300
Step-by-step explanation:
You are rounding to the nearest hundreds place value (will be underlined and bolded). Note the number directly next to the place value (tens place value). If it is the digit 5 or greater, round up. If 4 or less, round down:
67103:
You are rounding to the hundreds place value. The tens place value is a 0. Because 0 is less than 5, round down.
67103 rounded to the nearest hundred is 67100.
1273:
You are rounding to the nearest hundreds place value. The tens place value is a 7. Because 7 is greater than 5, round up.
1273 rounded to the nearest hundred is 1300.
~
please answer correctly
will give out brainliest, a THX, a friend request, and will rate ur answer
Answer:
10 11/15
Step-by-step explanation:
the improper fraction you would use is 23/5 and 7/3
to convert improper fractions you would take the whole number multiply by the denominator and then add the numerator so 4*5 which is 20 + 3
do that to both fractions then multiply
23 7 and you will get 161/15 which simplifies to 10 11/15
5 3
Answer:
Hi there!!
Your answer is:
[tex]10 \times \frac{11}{15} [/tex]
Step-by-step explanation:
[tex]4 \times \frac{3}{5} [/tex]
Multiply 4 by the denominator and add to the numerator!
4×5+3
20+3
23
23/5 ×
[tex]2 \times \frac{1}{3} [/tex]
2×3+1
6+1
7
7/3×
7/3 × 23/5
7× 23 = 161
3×5= 15
161/15
SIMPLIFY!
10 & 11/15
Hope this helps
Please help me please!!!!!!!! I will give brainliest
Answer:
No
Step-by-step explanation:
Counterexample for the numbers 25 and 10
The actual LCM is 50
If you were to multiply both numbers together you would get 250 which is incorrect
PLEASE HELP ASAP!! im so confused i just need some help. WIll mark BRAINLIEST>
Answer:
C
Step-by-step explanation:
x + 9 = 4(x-1)²
x + 9 = 4(x² - 2x + 1) Multiply (x - 1) times (x - 1)
x + 9 = 4x² - 8x + 4
4x² - 9x - 5 = 0 Subtract x + 9 from both sides
Find the midpoint of the segment between (6,7) and (6,-5)
(0, -1)
(6,1)
(1,6)
(0, 1).
Helpppo pleasee
Answer:
(6,1)
Step-by-step explanation:
midpoint = ((x2+x1),(y2+y1)/2)
= (6+6)/2, (-5+7)/2
= 12/2, 2/2
= 6,1
Answer:
(6, 1)Step-by-step explanation:
GivenSegment (6, 7) and (6, -5)To findMidpoint Solutionx- coordinates same so the line is vertical and we'll only calculate the y-coordinate
x= 6y = (7 + (-5))/2 = 2/2 = 1So the point is
(6, 1)