Answer:
4%.
Step-by-step explanation:
The cube of 5 is 125.
So the required percentage is (5 * 100) / 125
= 500/125
= 4%.
Suppose "35" cars start at a car race. In how many ways can the top 3 cars finish the race?
Answer:
Number of ways top 3 cars finish the race = 39,270
Step-by-step explanation:
Given:
Total number of cars = 35
Number of top cars = 3
Find:
Number of ways top 3 cars finish the race
Computation:
It is a permutation based problem.
So,
npr = n! / (n-r)!
35p3 = 35! / (35! - 3!)
35p3 = 35 ! / 32!
35p3 = 35 × 34 × 33
35p3 = 39,270
Number of ways top 3 cars finish the race = 39,270
Abox contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number
that is less than 12?
Answer:
11/100, 0.11, or 11%
Step-by-step explanation:
select the property that is demonstrated by: 3+7=7+3
Answer:
Commutative property of addition
Step-by-step explanation:
This is called the commutative property of addition which states that a + b = b + a. In this case, a = 3 and b = 7.
Answer:Communitive Property of Addition
Step-by-step explanation:
A+B=B+A 3+7=7+3
The communitive property of addition states that the order of two numbers being added doesn’t matter and that the sum is the same.
When two straight lines cross, it is found that the angles opposite to each ate the same size. They are known as
The angles don't need to be lined up vertically, or have one over top another. You could have them laid out horizontally. All that matters is that they are opposite angles after an X shape has been formed by two crossing lines. Vertical angles are always congruent.
Find the distance that (5, 1) is from the origin. Round to three decimal places.
Answer: Distance = 2.449
Step-by-step explanation:
Given that the distance that (5, 1) is from the origin. That is (0,0) to (5,1)
where
X1 = 0
X2 = 5
Y1 = 0
Y2 = 1
The distance from the origin to the point (5, 1) can be calculated by using the formulae
Substitute all the parameters into the formular
D = [tex]\sqrt{(X2-X1) + (Y2-Y1)}[/tex]
D = [tex]\sqrt{(5-0) + (1-0)}[/tex]
D = [tex]\sqrt{5 + 1}[/tex]
D = [tex]\sqrt{6}[/tex]
D = 2.44948
D = 2.449 ( Three decimal places)
logx - logx-1^2=2log(x-1) what is the value of x
Answer:
Step-by-step explanation:
[tex]logx -log(x-1)^2= 2 log(x-1)[/tex]
[tex]logx-2log(x-1) = 2log(x-1)[/tex]
[tex]logx=log(x-1)^4[/tex]
[tex]x=(x-1)^4[/tex]
[tex]x^4-4x^3+6x^2+1=0[/tex]
solve this equation
59. Solve the equation.
--3r - 4(r + 2) = 11
Answer:
r = -19/7
Step-by-step explanation:
-3r - 4r - 8 = 11
-7r - 8 = 11
-7r= 11 +8
-7r = 19
a) Is it reasonable to conclude that the weather or mechanical failures caused only about % of recent plane crashes?
A.
Yes, because there is the possibility of overlap between the categories.
B.
No, because there is no possibility for overlap between the categories.
C.
Yes, because there is no possibility for overlap between the categories.
D.
No, because there is the possibility of overlap between the categories.
Answer:
Yes, because there is no possibility for overlap between the categories.
In a recent Super Bowl, a TV network predicted that 31 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 120 people who saw the commercials and found that 40 of them said they would watch one of the television shows. Suppose you have the following null and alternative hypotheses for a test you are running:
1. H0: p = 0.53 Ha: p ≠ 0.53
2. H0: p = 0.53 Ha: p ≠ 0.53
Calculate the test statistic, rounded to 3 decimal places.
Answer:
-4.317
Step-by-step explanation:
The z test statistic for testing of 1-proportion can be computed as
[tex]z=\frac{phat-p}{\sqrt{\frac{pq}{n} } }[/tex]
We know that
phat=x/n.
We know that x=40 and n=120.
Thus,
phat=40/120=0.3333
p=hypothesized proportion=0.53
q=1-p=1-0.53=0.47
So, required z-statistic is
[tex]z=\frac{0.3333-0.53}{\sqrt{\frac{0.53(0.47)}{120} } }[/tex]
[tex]z=\frac{-0.1967}{ 0.04556 }[/tex]
z=-4.317.
Thus, the required test statistic value for given hypothesis is z=-4.317.
An arrangement of bowling
pins has 5 pins in the first
row and 12 rows in all. In
each successive row two
pins are added.
Which of the following is
the explicit rule and what is
the number of pins in the
12th row?
Use the divergence theorem to find the outward flux of the vector field F(x,y,z)=2x2i+5y2j+3z2k across the boundary of the rectangular prism: 0≤x≤1,0≤y≤3,0≤z≤1.
By the divergence theorem, the flux of F across the boundary of a region, ∂R, is equal to the integral of div(F ) over the region itself, R. In this case, the flux would be
[tex]\displaystyle \iint_{\partial R}\mathbf F\cdot\,\mathrm d\mathbf S = \iiint_R\mathrm{div}(\mathbf F)\,\mathrm dx\,\mathrm dy\,\mathrm dz \\\\ = \int_0^1\int_0^3\int_0^1\frac{\partial(2x^2)}{\partial x} + \frac{\partial(5y^2)}{\partial y} + \frac{\partial(3z^2)}{\partial z} \,\mathrm dx\,\mathrm dy\,\mathrm dz \\\\ = \int_0^1\int_0^3\int_0^1 (4x+10y+6z)\,\mathrm dx\,\mathrm dy\,\mathrm dz = \boxed{60}[/tex]
In this exercise we have to calculate the flux by the divergent theorem:
[tex]\int\limits\int\limits_R\, ds = 60[/tex]
By the divergence theorem, the flux of F across the boundary of a region, ∂R, is equal to the integral of div(F ) over the region itself, R. In this case, the flux would be:
[tex]\int\limits\int\limits_R {F} \, ds= \int\limits \int\limits \int\limits_R {div(F)} \, dxdydz\\=\int\limits^1_0 \int\limits^3_0 \int\limits^1_0 {(4x+10y+6z)} \, dx dy dz= 60[/tex]
See more about vectorial calculus at : brainly.com/question/6960786
Help me pls- I'll give u 55 points <3
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
So we have the expression:
[tex]39\div(2+1)-2\times(4+1)[/tex]
Recall the order of operations or PEMDAS:
P: Parentheses
E: Exponents
M/D: Multiplication and Division (Whichever First)
A/S: Addition and Subtraction (Whichever First)
Thus, first do the operations inside the parentheses:
[tex]39\div(2+1)-2\times(4+1)\\=39\div(3)-2\times(5)[/tex]
Now, do division and multiplication:
[tex]39\div(3)-2\times(5)\\=13-2\times5[/tex]
And the multiplication:
[tex]13-2\times5\\=13-10[/tex]
And finally, subtract:
[tex]13-10\\=3[/tex]
Write an equation in slope-intercept form for the line with slope -3 and y-Intercept -2.
Answer:
y = -3x - 2
Step-by-step explanation:
Step 1: State what is known
Slope = m = -3
y-intercept = b = -2
Step 2: Substitute information into y = mx + b
y = (-3)x + (-2)
y = -3x -2
Therefore the equation in slop intercept form is y=-3x-2
Answer:
y = -3x-2Step-by-step explanation:
Replace m with -3, which is the slope replace b with -2, = y-intercept into the equation y=mx+b.
[tex]m = -3\\y - intercept = -2\\Slope\: intercept \: form :\\y =mx+c\\y = -3x-2[/tex]
ANSWER IF YOU LOVE YOUR LORD!!!! Which graph represents the solution to: 2k+8<5k-1?
Answer:
Third graph
Step-by-step explanation:
First, find the solution to the equation of inequality given.
2k + 8 < 5k - 1
Subtract 5k from both sides
2k + 8 - 5k < 5k - 1 - 5k
-3k + 8 < -1
Subtract 8 from both sides
-3k + 8 - 8 < -1 - 8
-3k < -9
Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)
[tex] \frac{-3k}{-3} [/tex] > [tex] \frac{-9}{-3} [/tex]
k > 3
The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.
Therefore, the 3rd graph is the answer.
Which multimedia sources are best for a student writing a research paper on childhood obesity? Check all that apply.
a documentary produced by an association of pediatricians
a sound bite of doctors at a forum discussing the issue
a cartoon showing families eating dinner at a fast-food restaurant
a podcast in which children share their eating habits
a timeline made by the government showing obesity trends
Answer:
1, 2 , 5
Step-by-step explanation:
Correct on edge 2020
The multimedia sources that are best for a student writing a research paper on childhood obesity are:
A documentary produced by an association of pediatricians.
A sound bite of doctors at a forum discussing the issue.
A timeline made by the government showing obesity trends.
What is obesity?Obesity is typically caused by overeating and inactivity. If you consume a lot of energy, especially fat and sugars, but don't burn it off through exercise and physical activity, your body will store a lot of it as fat.
Obesity is a complicated condition characterized by an excess of body fat. Obesity is more than simply an aesthetic issue.
Therefore, the correct options are 1, A documentary produced by an association of pediatricians. 2, A sound bite of doctors at a forum discussing the issue, and 5, A timeline made by the government showing obesity trends.
To learn more about obesity, refer to the link:
https://brainly.com/question/11366349
#SPJ2
Where is the blue dot on the number line?
Answer:
-5.8
Step-by-step explanation:
Round 3.99408317124 to the nearest tenth.
Answer:
4.0
Step-by-step explanation:
when rounded the nine adds to the whole number making it 4
Rounding 3.99408317124 to nearest tenth becomes 4.
Why we round numbers ?We round numbers as it is easy to remember and also rounding a number to a certain place retains approximate value to that pace.
According to the given question we have to round 3.99408317124 to nearest tenth.
We know to round a number to a certain place we have to check the
digit that is one place lesser.
Now we have to round 3.99408317124 to tens place so we'll look at the digit at ones' place which is 9 and is greater than 5 so we'll add one to it this will make it 0 and 1 will carry over.
Thus the number becomes 4.0.
learn more about rounding numbers here :
https://brainly.com/question/109166
#SPJ2
A line segment with one end at A (-3,2) has midpoint M (2,-3). Find the coordinate of the other end point B.
(A.) B (-1,-1)
(B.) B (5,-5)
(C.) B (1,-4)
(D.) B (7,-8)
Answer:
D
Step-by-step explanation:
since all x coordinates are distinct, lets just find the x coordinate (multiple choice question)
Midpoint formula:
given two points, (x1, y1) and (x2, y2)
the midpoint is ((x1+x2)/2, (y1+y2)/2)
-3+x2 = 2*2
x2 = 7
Tony rounded each of the numbers 1,143 and 1,149 to the nearest hundred. Which choice correctly compares the rounded numbers?
The rounding off should be 1100.
What is rounding off?Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
Rounding Numbers to the Nearest HundredRounding numbers to the nearest hundred means we need to check the digit to the right of the hundreds place, that is, the tens place. For example, when 7456 is rounded to the nearest hundred, it becomes 7500.
Given numbers are 1143 and 1149.
According to the given numbers both the numbers rounded off nearest hundred.
The number 143 and 149 lies between 100 to 200.
So, the round off will be 100.
Learn more about rounding off here:
https://brainly.com/question/13391706
#SPJ2
Find a12 given the geometric sequence 2, -6, 18, -54, ...
A. 1,062,882
B.-1,062,882
C. 354,294
OD. -354,294
Answer:
The answer is option AStep-by-step explanation:
Since the above sequence is a geometric sequence
For an nth term in a geometric sequence
[tex]A(n) = a ({r})^{n - 1} [/tex]
where
a is the first term
r is the common ratio
n is the number of terms
From the question
a = - 6
To find the common ratio divide the next term by the previous term
That's
r = 18/-6 = - 3 or -54/18 = - 3
Since we are finding the 12th term
n = 12
Substitute these values into the above formula
We have
[tex]A(12) = - 6 ({ - 3})^{12 - 1} [/tex]
[tex]A(12) = - 6 ({ - 3})^{11} [/tex]
We have the final answer as
A(12) = 1,062,882Hope this helps you
Write a rational number in fraction form that is equivalent to -1/5
Answer & Step-by-step explanation:
You can find a rational fraction equivalent to [tex]-\frac{1}{5}[/tex] by multiplying the numerator and denominator by the same number. The number can be any:
[tex]-\frac{1}{5} *3\\\\-\frac{1}{5}*\frac{3}{3}=-\frac{3}{15}[/tex]
This works because if you simplify the new number, it will have the same value as the first fraction.
If you simplify both fractions to a decimal value, they both equal -0.2.
NEED HELP ASAP!! Angles of Elevation and Despression! Need to find x! Round to the nearest tenth!
Answer:
Hey there!
Sine 61=x/500
Sine 61(500)=x
x=437.3
Let me know if this helps :)
I will mark the brainliest
Please answer thank youu!!!
Answer: its option "b"
Pentagon;not regular
Step-by-step explanation:
The polygon has 5 sides but all the sides are not equal
hence, it is an irregular pentagon
Hope this helped you!!
Please Mark as Brainliest!! : )
The claim is that for a smartphone carrier's data speeds atairports, the mean= 14.00Mbps. The sample size is equals=27 and the test statistic is t equals=1.386.
What is the P-value=
Degree of freedom = sample size -1 = 27-1 = 26
Given t = 1.386
This is a two tailed test.
Using a TI83/84 calculator:
2 x tcdf(1e99,-1.386,26) = 0.177520
The p value = 0.177520 (round the answer as needed)
Evelyn can run 3 miles in 40 minutes. Which equation can be solved to find m, the number of miles Evelyn can run in 60 minutes?
Answer:
m= 4.5 miles
Step-by-step explanation:
Let the number of miles Evelyn can run be m and can be modeled by the equation below
m= kx
Where x Is the Minutes
When m= 3
x= 40
3= k40
k= 3/40
If x= 60
m=3/40(60)
m = (60*3)/40
m= 180/40
m= 4.5 miles
f + 3 pi = 7 pi what is f?
Answer:
f = 4 pi
Step-by-step explanation:
f + 3 pi = 7 pi
f = 7 pi - 3 pi
f = 4 pi
Answer:
f = 4 pi
Step-by-step explanation:
f + 3 pi = 7 pi
Subtract 3 pi from each side
f + 3 pi -3pi = 7 pi -3 pi
f = 4 pi
What are the most appropriate measures of center and spread of the data set?
Answer:
B... According to the statement..
Step-by-step explanation:
The mean and median determines the numerical measures of center. The mean is used when showing the center as an average while the median shows the middle value of a data. The range and IQR determines the numerical measures of spread.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
Answer:
answers below vote brainliest
Step-by-step explanation:
Find the inverse of the exponential function f(x)=10^x
Answer: [tex]y=\frac{ln(x)}{ln(10)}[/tex]
Step-by-step explanation:
To find the inverse of the function, you first replace the y with x and x with y. Then you solve for y.
[tex]y=10^x[/tex] [replace y with x and x with y]
[tex]x=10^y[/tex] [find natural log of both sides to get y alone]
[tex]ln(x)=ln(10)^y[/tex] [divide ln(10) on both sides]
[tex]\frac{ln(x)}{ln(10)} =y[/tex]
Now that we have found y after switching y with x and x with y, we know that the inverse is [tex]y=\frac{ln(x)}{ln(10)}[/tex].
A rectangle has a hight of 4x and a with of 3x+1
.Express the area of the entire rectangle. Expression should be expanded.
Assume a healthy heart beats exactly 70 times per minute. If an individual lives to age 85 years, estimate the number of heartbeats in his or her lifetime, using scientific notation.
Answer:
3.12732 × 10⁹ beats
Step-by-step explanation:
Given that, in 1 min, the heart of an individual makes 70 beats, the number of beats the heart of the healthy individual makes in 85 years can be calculated as follows:
1 yr = 365 days, therefore,
85yrs = 85*365 = 31,025 days
1 day = 24 hours
31,025 days = 31,025*24 = 744,600 hours.
1 hr = 60 mins
744,600 hours = 744,600*60 = 44,676,000 mins
This means the individual lived for 44,676,000 mins (85yrs)
If 70 beats are made in 1 min, therefore, in 85yrs, the individual will make:
44,676,000*70 = 3,127,320,000 beats = 3.12732 × 10⁹ beats in 85yrs