Answer:
Kevin is correct.
Step-by-step explanation:
3 girls + 5 boys = 8 students.
Answer:
he is incorrect since in a ratio you don't add them together instead what this ratio means is for every 3 girls there is 5 boys
Hope This Help!!!
if 7a - 11b = 0, what will be the value of a:b
Answer:
11:7
Step-by-step explanation:
Solution
Here
7a-11b=0
a:b=?
we know that
a=7
b=11
ans =11:7
Hence proved
Answer:
[tex]thank \: you[/tex]
−5x−9y=3 added to 5x−9y=−2
Answer:
the 5s cancel out the -9s become -18y and 3-2 is 1
Step-by-step explanation:
so -18y=1
Answer From Gauth Math
An electronic switching device occasionally malfunctions, but the device is considered satisfactory if it makes, on average, no more than 0.20 error per hour. A particular 5-hour period is chosen for testing the device. If no more than 1 error occurs during the time period, the device will be considered satisfactory.
(a) What is the probability that a satisfactory device will be considered unsatisfactory on the basis of the test? Assume a Poisson process.
(b) What is the probability that a device will be accepted as satisfactory when, in fact, the mean number of errors is 0.25? Again, assume a Poisson process.
Solution :
It is given that the device works satisfactorily if it makes an average of no more than [tex]0.2[/tex] errors per hour.
The number of errors thus follows the Poisson distribution.
It is given that in [tex]5[/tex] hours test period, the number of the errors follows is
= [tex]0.2 \times 5[/tex]
= 1 error
Let X = the number of the errors in the [tex]5[/tex] hours
[tex]$X \sim \text{Poisson } (\lambda = 0.2 \times 5 =1)$[/tex]
Now that we want to find the [tex]\text{probability}[/tex] that a [tex]\text{satisfactory device}[/tex] will be misdiagnosed as "[tex]\text{unsatisfactory}[/tex]" on the basis of this test. We know that device will be unsatisfactory if it makes more than [tex]1[/tex] error in the test. So we will determine probability that X is greater than [tex]1[/tex] to get required answer.
So the required probability is :
[tex]P(X>1)[/tex]
[tex]$=1-P(X \leq 1)$[/tex]
[tex]$=1-[P(X=0)+P(X=1)]$[/tex]
[tex]$=1- \left( \frac{e^{-1} 1^0}{0!} + \frac{e^{-1} 1^0}{1!} \right) $[/tex]
[tex]$=1-(2 \times e^{-1})$[/tex]
[tex]$=1-( 2 \times 0.367879)$[/tex]
[tex]$=1-0.735759$[/tex]
[tex]=0.264241[/tex]
So the [tex]\text{probability}[/tex] that the [tex]\text{satisfactory device}[/tex] will be misdiagnosed as "[tex]\text{unsatisfactory}[/tex]" on the basis of the test whose result is 0.264241
Express the speed of 0.0000000015 seconds in scientific notation
[tex]\\ \sf\longmapsto 0.0000000015[/tex]
[tex]\\ \sf\longmapsto 0.0015\times 10^{-6}s[/tex]
[tex]\\ \sf\longmapsto 0.015\times 10^{-7}s[/tex]
[tex]\\ \sf\longmapsto 0.15\times 10^{-8}s[/tex]
[tex]\\ \sf\longmapsto 1.5\times 10^{-9}s[/tex]
Answer: 0.0000000015 = 1.5 × 10⁻⁹
Concept:
When converting an integer to scientific notation:
- If the number is ≥1, then count the moves of the decimal point to the right until the number is 0<number<10. The number of moves will be the exponent that is positive.
- For example: If converting 300, since there are two moves until it is left with 0<3<10. Thus, the scientific notation will be 3 × 10²
- If the number is <1, then count the moves of the decimal point to the left until the number is 0<number<10. The number of moves will be the exponent that is negative.
- For example: If converting 0.004, since there are three moves until it is left with 0<4<10. Thus, the scientific notation will be 4 × 10⁻³
Solve:
0.0000000015
The decimal point needs to move 9 times to the left to get a number that is between 0 and 10. The number is 1.5.
Thus, the scientific notion of 0.0000000015 will be 1.5 × 10⁻⁹
Hope this helps!! :)
Please let me know if you have any questions
plez halppp mehh ;-;
Answer:
False
True
True
Step-by-step explanation:
Angle 1 cannot be equal to angle 4. Even by just viewing one can see that they can't be equal.
Angle 1 and 2 when combined give a 90 degree angle going from a to c.
Angle 3 and 4 form a 180 degree angle.
HOPE THIS HELPED
how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right.how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right. plz answer the question steps by step.
A rectangle has a perimeter equal to 24 if we consider its width x how could we talk about its length y in terms of x what are the possible values of x what aree the possible values of y
2x + 2y must equal 24. 24 - 2x = 2y and 24 - 2y = 2x. Therefore, 12 - y = x. x could be able to add with y to get 12.
example: x = 4, y = 8. (4 + 4 + 8 + 8 = 16 + 8 = 24)
x = 9, y = 3. (9 + 9 + 3 + 3 = 24)
x = 5, y = 7. (5 + 5 + 7 + 7 = 24)
Which one of the following graphs is the graph of f(x) = 1∕4x2 + 3?
Answer:
A
f(x) = 1/4 x^2 + 3
Resultado
f(x) = x^2/4 + 3
x^2 + 12 = 4 f(x)
Forma alternativa
f(x) = 1/4 (x^2 + 12)
Raíces complejas
x = -2 i sqrt(3)
x = 2 i sqrt(3)
Question Which of the following is a benefit of using email to communicate at work ? a) You can express yourself in a limited number of characters b) You don't have to worry about using proper grammar. c) You always get a response right away. d ) You can reach a large audience with one communication .
Answer:
d) you can reach a large audience with one communication
Step-by-step explanation:
common sense
Find the 100th term of the sequence 4, 7, 10, 13...
a) 301
b) 313
c) 281
d) 279
Answer:
A
Step-by-step explanation:
The first term of the sequence is 4, the common difference is 3. So the equation of this sequence is 4+(n-1)*3 or 1+3*n. Plug in n=100
Find the slope of the line passing through the points (9, 1) and (9,-4).
Answer:
slope is undefined
Step-by-step explanation:
(9, 1 ) and (9, - 4 )
Since the x- coordinates of the 2 points are 9, then the line is vertical and parallel to the y- axis with slope being undefined.
Slope is the change in y over the change in x.
Slope = (-4 - 1) / (9 -9) = -5/0 you cannot divide by 0,so the slope is undefined. This means it is a vertical line
Please help me with this, But I can’t decide if it’s A or B. Please explain !!!
I think it's the letter A.
Answer:
[tex]m=\frac{M}{\sqrt{1-\frac{v^{2} }{c^{2} } } } \\\\\\m{\sqrt{1-\frac{v^{2} }{c^{2} } }=M[/tex]
[tex]\sqrt{1-\frac{v^{2} }{c^{2} }} =\frac{M}{m} \\\\\\1-\frac{v^{2} }{c^{2} }=\frac{M^{2}}{m^{2}} \\\\\\-\frac{v^{2} }{c^{2} }=\frac{M^{2}}{m^{2}} -1\\\\v^{2}=(-c^{2}) (\frac{M^{2}}{m^{2}} -1)\\\\v=\sqrt{(-c^{2}) (\frac{M^{2}}{m^{2}} -1)} =\sqrt{(c^{2})(-1)(\frac{M^{2}}{m^{2}} -1)} =c\sqrt{(-1)(\frac{M^{2}}{m^{2}} -1)} =c\sqrt{1-\frac{M^{2}}{m^{2}}}[/tex]
I would think it's A ¯\_ (ツ)_/¯
The recursive formula for a geometric sequence is given below.
f(1) = 5
(n) = 3 . f(n − 1), for n > 2
What is the 7th term in the sequence?
Answer:
3645
Step-by-step explanation:
f(1)=5
f(2)=3*5=15.
f(3)=45, basically it's a geometric sequence with formula an=5*(3)^(n-1). The 7th term is 5*(3)^6=3645
Complete the coordinate table for the given equation.
Xy=-4
Step-by-step explanation:
X= -4,-2,2,4 (respectively)
Y=4,-4 (respectively)
hope it helps
With an x intercept of 4 and a y intercept of -1.5. Find the equation of the line
The equation of the line is.
y = (3/8)*x - 1.5
A general linear relationship can be written as:
y = a*x + b
Where a is the slope, and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂), we can write the slope as:
a = ( y₂ - y₁)/(x₂- x₁)
We define the y-intercept and the x-intercept as the points where the graph intersects the y-axis or the x-axis correspondingly.
Here we know that the x-intercept is 4, or we can write this as (4, 0)
we also know that the y-intercept is -1.5, or we can write this as (0, -1.5)
So we know two points of the line, this means that we can find the slope of the line:
a = (-1.5 - 0)/(0 - 4) = (1.5)/(4) = (3/2)*(1/4) = 3/8
Then the line is:
y = (3/8)*x + b
And remember that b is the y-intercept, which we know is equal to -1.5, so we can just replace it:
Then the equation of the line is.
y = (3/8)*x - 1.5
If you want to learn more about this topic, you can read:
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√10 Multiple √15 is equal to
(a) 6√5
(b) √30
(c) √25
step by step
Solve :-
dont answer stantham
[tex]\\ \sf\longmapsto \sqrt{10}\times \sqrt{15}[/tex]
[tex]\\ \sf\longmapsto \sqrt{10\times 15}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2\times 5\times 3\times 5}[/tex]
[tex]\\ \sf\longmapsto \sqrt{5\times 5\times 6}[/tex]
[tex]\\ \sf\longmapsto 5\sqrt{6}[/tex]
None of the above should be 4th option
on a particular day, a man spent 12 minutes more driving to his office than driving home. His average speed from home to office is 12km/h and from office to home is 60m/h .How far is the man home to his office
Answer:
distance between home and office = 3 km
Step-by-step explanation:
Show that Reſiz) = -Im(z)
Step-by-step explanation:
[tex]re(i(x + yi) = - im(x + yi) \\ re(xi - y) = - im(x + yi) \\ - y = - (y) \\ - y = - y \\ proved \: is \: correct[/tex]
The population of Americans age 55 and older as a percentage of the total population is approximated by the function f(t) = 10.72(0.9t + 10)^0.3 (0 <= t < = 20)
where t is measured in years, with t=0 corresponding to the year 2000.
Required:
a. At what rate was the percentage of Americans age 55 and older changing at the beginning of 2002?
b. At what rate will the percentage of Americans age 55 and older be changing in 2017?
c. What will be the percentage of the population of Americans age 55 and older in 2017?
Answer:
Part A)
About 0.51% per year.
Part B)
About 0.30% per year.
Part C)
About 28.26%.
Step-by-step explanation:
We are given that the population of Americans age 55 and older as a percentange of the total population is approximated by the function:
[tex]f(t) = 10.72(0.9t+10)^{0.3}\text{ where } 0 \leq t \leq 20[/tex]
Where t is measured in years with t = 0 being the year 2000.
Part A)
Recall that the rate of change of a function at a point is given by its derivative. Thus, find the derivative of our function:
[tex]\displaystyle f'(t) = \frac{d}{dt} \left[ 10.72\left(0.9t+10\right)^{0.3}\right][/tex]
Rewrite:
[tex]\displaystyle f'(t) = 10.72\frac{d}{dt} \left[(0.9t+10)^{0.3}\right][/tex]
We can use the chain rule. Recall that:
[tex]\displaystyle \frac{d}{dx} [u(v(x))] = u'(v(x)) \cdot v'(x)[/tex]
Let:
[tex]\displaystyle u(t) = t^{0.3}\text{ and } v(t) = 0.9t+10 \text{ (so } u(v(t)) = (0.9t+10)^{0.3}\text{)}[/tex]
Then from the Power Rule:
[tex]\displaystyle u'(t) = 0.3t^{-0.7}\text{ and } v'(t) = 0.9[/tex]
Thus:
[tex]\displaystyle \frac{d}{dt}\left[(0.9t+10)^{0.3}\right]= 0.3(0.9t+10)^{-0.7}\cdot 0.9[/tex]
Substitute:
[tex]\displaystyle f'(t) = 10.72\left( 0.3(0.9t+10)^{-0.7}\cdot 0.9 \right)[/tex]
And simplify:
[tex]\displaystyle f'(t) = 2.8944(0.9t+10)^{-0.7}[/tex]
For 2002, t = 2. Then the rate at which the percentage is changing will be:
[tex]\displaystyle f'(2) = 2.8944(0.9(2)+10)^{-0.7} = 0.5143...\approx 0.51[/tex]
Contextually, this means the percentage is increasing by about 0.51% per year.
Part B)
Evaluate f'(t) when t = 17. This yields:
[tex]\displaystyle f'(17) = 2.8944(0.9(17)+10)^{-0.7} =0.3015...\approx 0.30[/tex]
Contextually, this means the percetange is increasing by about 0.30% per year.
Part C)
For this question, we will simply use the original function since it outputs the percentage of the American population 55 and older. Thus, evaluate f(t) when t = 17:
[tex]\displaystyle f(17) = 10.72(0.9(17)+10)^{0.3}=28.2573...\approx 28.26[/tex]
So, about 28.26% of the American population in 2017 are age 55 and older.
4(x+4) =2x-1
8
Show work
Answer:
4(x+4) =2x-18
4x+16=2x‐18
4x–2x= –18 –16
2x= – 34
x= –34/2
x= – 17
I hope I helped you^_^
Step-by-step explanation:
[tex]thank \: you[/tex]
hhheeeeeelllllllppppp meeee plzz
Answer:
I believe it is A
Step-by-step explanation:
Given: AABC, AC = 5
m C = 90°
m A= 22°
Find: Perimeter of AABC
A
C
B
9514 1404 393
Answer:
perimeter ≈ 12.4 units
Step-by-step explanation:
The side adjacent to the angle is given. The relationships useful for the other two sides are ...
Tan = Opposite/Adjacent
Cos = Adjacent/Hypotenuse
From these, we have ...
opposite = 5·tan(22°) ≈ 2.02
hypotenuse = 5/cos(22°) ≈ 5.39
Then the perimeter is ...
P = a + b + c = 2.02 + 5 + 5.39 = 12.41
The perimeter of ∆ABC is about 12.4 units.
find the value of x. help with geometry pls
Answer:
Find the value of x:-
To find Y, use Pythagorean theorem:- [tex]c^{2} =a^{2} +b^{2}[/tex]
[tex](2.1)^{2} =y^{2} +(1.4)^{2}[/tex]
[tex]2.1^{2}=4.41[/tex]
[tex]1.4^{2} =1.96[/tex]
[tex]4.41=y^{2} +1.96[/tex]
subtract 1.96 from both sides
[tex]2.45=y^{2}[/tex]
[tex]y=1.5652[/tex]
Now, to find x:-
[tex]x=y+y[/tex]
[tex]= 1.5632+1.5652[/tex]
[tex]x=3.1 \: ft[/tex]
~OAmalOHopeO
Question 6 of 11 Step 1 of 6 No Time Limit The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, û = bo + bjx, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
Price in Dollars 23 34 44 46 50
Number of Bids 1 2 4 9 10
Step 1 of 6: Find the estimated slope. Round your answer to three decimal places.
The estimated slope is approximately 2.344
The given table is presented as follows;
[tex]\begin{array}{ccc}Number \ of Bids &&Price \ in \ Dollars\\1&&23\\2&&34\\4&&44\\9&&46\\10&&50\end{array}[/tex]
The regression line formula to be considered = [tex]\bar u = b_0 + b\cdot \bar x[/tex]
The required parameter is;
The estimated slope
The method to find the estimate slope;
The least squares regression formula (method) is presented as follows;
[tex]\bar u = b_0 + b\cdot \bar x[/tex]
Where;
b₀ = The y-intercept
[tex]\mathbf{ b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(u_i - \bar u\right) }{\sum \left(x_i - \bar x\right )^2 } = The \ estimated \ slope}[/tex]
From MS Excel, we have;
[tex]\bar x[/tex] = 5.2, [tex]\bar u[/tex] = 39.4
[tex]\sum \left(x_i - \bar x\right) \times \left(u_i - \bar u\right)[/tex] = 156.6
[tex]{\sum \left(x_i - \bar x\right )^2 }[/tex] = 66.8
Therefore;
The estimated slope, b = 156.6/66.8 ≈ 2.344 (by rounding the answer to three decimal places)
Learn more about regression line here;
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Simplify the following expression.
3(2k + 3) -8k + 5 + 5
Answer:
Step-by-step explanation:
3*(2k + 3) - 8k + 5 + 5 Remove the brackets on the left
6k + 9 - 8k + 5 + 5 Combine like terms
6k-8k+9 + 5 + 5
-2k + 19
150 is 40% of what number
Step-by-step explanation:
hope it helps youu.........
Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved $600. If the most that Kinsey can possibly save is $80 per month, which of the following statements is true? a. Kinsey will meet her goal and does not need to adjust her plan. b. Kinsey must save $72 per month to achieve her goal. c. Kinsey must save $75 per month to achieve her goal. d. Kinsey will not be able to achieve her goal. Please select the best answer from the choices provided A B C D
Answer:
b. Kinsey must save $72 per month to achieve her goal.
Step-by-step explanation:
Goal over 16 months: $60 x 16 = $960
Collected after 11 months: $600
$360 still needed5 months lefts$360 ÷ 5 = $72
Kinsey must save $72 per month to achieve her goal. The answer we got by converting the sentence to Equation and solving.b is the required answer.
Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved $600. If the most that Kinsey can possibly save is $80 per month, which of the following statements given is true.
What is an Equation?Two expressions with equal sign is called equation.
Goal over 16 months: $60 x 16 = $960
Collected after 11 months: $600
$360 still needed
5 months lefts
$360 ÷ 5 = $72
Therefore Kinsey must save $72 per month to achieve her goal.
To learn more about equations click here: https://brainly.com/question/19297665
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Can someone help me solve this and explain how to solve if possible please?
solve for x ! please help . (show work)
Answer:
x = -3
Step-by-step explanation:
12 - 4x-5x = 39
Combine like terms
12 - 9x = 39
subtract 12 from each side
12 -9x-12 = 39-12
-9x = 27
Divide by -9
-9x/-9 = 27/-9
x = -3
a. 1140
b. 1130
c. 1120
d. 115
Answer:
1130
Step-by-step explanation:
1109+7 = 1116
1116+7 = 1123
Adding 7 each time
1123+7 = 1130
