Answer:
0
Step-by-step explanation:
-5 5
<-+-+-+-+-+-+l-+-+-+-+-+->
l 0 l
<-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+->
-8 -7 -6 -5 -4 3 -2 -1 0 1 2 3 4 5 6 7 8
graph l. (l points down). Thanks!
Answer:
the sum of a number and it's opposite= x - (x)
Step-by-step explanation:
The opposite number of 2 would be -2. The opposite number of 4 would be -4 and vice versa.
Because the oppposite number is just a number that is the opposite operation of something, finding the sum of a number and it's opposite will always make the sum 0.
3x+2y <
11 2x-y<9
Does this graph match this equation?
Answer:
No.
Step-by-step explanation:
3x+2y<11 doesn't have a y-intercept of 6 and doesn't have a x-intercept of 4.
2x-y<9 is not the same direction as 3x+2y<11.
Study the scatterplot and trend line. Which two points can be used to find the equation of the trend line?
Which points are on the trend line?
(1, 30) and (9, 95)
(2, 30) and (6, 70)
(2, 45) and (8, 90)
(3, 50) and (7, 65)
Answer:
C
Step-by-step explanation:
Just trust
Answer:
C
Step-by-step explanation:
I did the assignment in edge and got it right.
Proof:
In a survey one-forth like cake only and 20 didn't like cake at all. Also 50% children like ice cream but 12 like none of them.How many like both?
Answer:
2
Step-by-step explanation:
Let x represent the total number of people. Let C represent those that like cake and let I represent those that like ice cream. Given:
C = (1/4)x = 0.25x, I = 0.5x, (C ∪ I)' = 12, C' = 20
Therefore:
C ∩ I' = C' - (C ∪ I)' = 20 - 12 = 8
C ∩ I = C - C ∩ I' = 0.25x - 8
C' ∩ I = I - C ∩ I = 0.5x - (0.25x - 8) = 0.25x + 8
The total students = (C ∩ I) + (C' ∩ I) + (C ∩ I') + (C ∪ I)'
x = 0.25x - 8 + 0.25x + 8 + 8 + 12
x = 0.5x + 8 + 12
x = 0.5x + 20
0.5x = 20
x = 40
Students that liked both = C ∩ I = 0.25(40) - 8 = 2
According to the American Academy of Cosmetic Dentistry, 75% of adults believe that an unattractive smile hurts career success. Suppose that 25 adults are randomly selected. What is the probability that 15 or more of them would agree with the claim?
Answer:
0.9703 = 97.03% probability that 15 or more of them would agree with the claim.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they agree with the claim, or they do not. The probability of an adult agreeing with the claim is independent of any other adult, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
75% of adults believe that an unattractive smile hurts career success.
This means that [tex]p = 0.75[/tex]
Suppose that 25 adults are randomly selected.
This means that [tex]n = 25[/tex]
What is the probability that 15 or more of them would agree with the claim?
This is:
[tex]P(X \geq 15) = 1 - P(X < 15)[/tex]
In which:
[tex]P(X < 15) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 13) + P(X = 14)[/tex]
14 is below the mean, so we start below and go until the probability is 0. Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 14) = C_{25,14}.(0.75)^{14}.(0.25)^{11} = 0.0189[/tex]
[tex]P(X = 13) = C_{25,13}.(0.75)^{13}.(0.25)^{12} = 0.0074[/tex]
[tex]P(X = 12) = C_{25,12}.(0.75)^{12}.(0.25)^{13} = 0.0025[/tex]
[tex]P(X = 11) = C_{25,11}.(0.75)^{11}.(0.25)^{14} = 0.0007[/tex]
[tex]P(X = 10) = C_{25,10}.(0.75)^{10}.(0.25)^{15} = 0.0002[/tex]
[tex]P(X = 9) = C_{25,9}.(0.75)^{9}.(0.25)^{16} \approx 0[/tex]
Then
[tex]P(X < 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0002 + 0.0007 + 0.0025 + 0.0074 + 0.0189 = 0.0297[/tex]
And
[tex]P(X \geq 15) = 1 - P(X < 15) = 1 - 0.0297 = 0.9703[/tex]
0.9703 = 97.03% probability that 15 or more of them would agree with the claim.
Can someone do #8 #9 & #10 for me please?!❤️
Answer:
8. 72% × 850
= 72/100 × 850
= 72 × 8,5
= 612 ( b )
9. Poin B = 4 ( b )
Answer:
8. B
9. B
10. C
Step-by-step explanation:
8. To find 72% of 850, you would multiply 0.72 x 850. When you do that, it gives you 612.
9. B is on the number 4.
10. The expression is asking, "What is the absolute value of 28?". Absolute value means that the number inside will always be positive. For example, if it was -28, the absolute value would turn to 28. Since the question has 28 already positive, there is no change, so the answer would be 28.
The gcf of two numbers is 3 and their lcm is 180, if one of the numbers is 45 then found the second number
Answer:
answer is 12
Step-by-step explanation:
gcf = 3
lcm = 180
let 45 be y
let unknown be X
to get x
X=( lcm * gcf) / y
X=(180*3)/45
X=(540)/45
X=12
the other number is 12
A process manufactures ball bearings with diameters that are normally distributed with mean 25.1 millimeters and standard deviation 0.08 millimeter. (a) [5pts] What proportions of the diameters are greater than 25.4
Answer:
The proportions of the diameters that are greater than 25.4 millimeters is 5%.
Step-by-step explanation:
Given;
mean of the normal distribution, m = 25.1 millimeters
standard deviation, d = 0.08 millimeter
1 standard deviation above the mean = m + d = 25.1 + 0.08 = 25.18
2 standard deviation above mean = m + 2d = 25.1 + 2(0.08) = 25.26
3 standard deviation above the mean = m + 3d = 25.1 + 3(0.08) = 25.34
4 standard deviation above the mean = m + 4d = 25.1 + 4(0.08) = 25.42
To obtain a diameter greater than 25.4, we select data after 4 standard deviation above the mean.
Data within 4 standard deviation above the mean is 95%
Data outside 4 standard deviation above the mean is 5%
Therefore, the proportions of the diameters that are greater than 25.4 millimeters is 5%.
identify the constant term in the given expression : -3xy + 10
plz
Step-by-step explanation:
well, what does the word "constant" tell you ?
e.g. "this is a constant reminder of ..."
a constant is steady and unchanging. always the same.
so, what could be the constant part/term in the expression ?
-3xy ? is that always the same value ? no matter what values you assign to x, y (and whatever other variables there might be in the system)?
or
10 ? is that always the same value, no matter what values are assigned to x, y, ... ?
there are no other parts/terms I can see here.
so, please use your common sense and pick the right one. you can do that !
this is so simple. to outright write the answer to this feels like an offense. also against your own intelligence.
What type of equation is 9x-3y=27
Answer:
a first degree equation
If 8 bags of chips cost 10.32;how much will you pay for 20 bags?
Answer:
$25.80
Step-by-step explanation:
First, let's find the cost of one bag of chip:
10.32/8 = 1.29
If one bag costs $1.29, simply multiply the number of bags (20) by 1.29
1.29 x 20 = 25.80
= $25.80
Answer:
25.80
Step-by-step explanation:
We can use a ratio to solve
8 bags 20 bags
------------- = ----------------
10.32 x dollars
Using cross products
8x = 10.32 * 20
8x =206.40
Divide each side by 8
8x/7 = 206.40/8
x =25.80
Use the order of operations to simplify the following expression.
-2 3 + |7| - 4 · 2
-38
-23
-9
-10
Answer:
-9
Step-by-step explanation:
-2 3 + |7| - 4 · 2
I assume -2 3 means -2^3.
-2^3 + |7| - 4 · 2 =
= -8 + 7 - 8
= -1 - 8
= -9
Answer:
-9
Step-by-step explanation:
-2^ 3 + |7| - 4 · 2
Parentheses first and an absolute value is considered parentheses
-2 ^3 + 7 - 4 · 2
Then exponenets
Since the sign is outside of the exponent it is considered multiplication
-1 * (2^3)+ 7 - 4 · 2
-1 *8 + 7 - 4 · 2
Then multiply
-8 +7 -8
Then add and subtract from left to right
-1-8
-9
find the intercept and graph the following linear equations: 2x+y=1
plz include x and y intercepts
Answer:
2(1)+y =1 for × intercept
2x+(1)=1 for y intercept
find the missing length indicated
explainion:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Use The (Pythagorean Theorem) to find the length of any side of a right triangle. Form it like its shown in picture above. Follow the instructions that also shown in the picture above.
Given the following coordinates complete the glide reflection transformation.
Answer:
[tex]A" = (7,-2)[/tex]
[tex]B" = (10,0)[/tex]
[tex]C"= (12,-3)[/tex]
Step-by-step explanation:
Given
[tex]A = (4,2)[/tex]
[tex]B = (7,0)[/tex]
[tex]C =(9,3)[/tex]
a: Reflect over x-axis
The rule of this is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]A' = (4,-2)[/tex]
[tex]B' = (7,0)[/tex]
[tex]C' = (9,-3)[/tex]
b: Shift 3 units left
The rule of this is:
[tex](x,y) \to (x+3,y)[/tex]
So, we have:
[tex]A" = (4+3,-2)[/tex]
[tex]A" = (7,-2)[/tex]
[tex]B" = (7+3,0)[/tex]
[tex]B" = (10,0)[/tex]
[tex]C"= (9+3,-3)[/tex]
[tex]C"= (12,-3)[/tex]
3/8 x 1 1/2 x1 1/2 What is the answer please and step by step
Answer:
=3/8×1 1/2×1 1/2
=3/8 ×3/2×3/2 ∴ 1 1/2 =2×1+1/2=3/2
=27/32 ∴3×3×3=27 ∴8×2×2=32
Pls Help! I'll mark the correct answer brainliest <3
A new computer virus is infecting computers and handheld devices connected to the internet. The number of devices affected by the virus n, in thousands, as a function of t days after it was discovered is n(t)=235(1.24)t. Interpret the rate of change within the context of this situation.
a) The number of devices infected with the virus increases by 24% each day.
b) The number of devices infected with the virus increases by 24% each hour.
c) The number of devices infected with the virus decreases by 76% each day.
d) The number of devices infected with the virus is 235,000 when the virus was discovered.
Answer:
The number of devices infected with the virus increases by 24% each day.
Step-by-step explanation:
Have a nice day! ♡
A city has a population of 220,000 people suppose that each year the population grows by 8.75% what will the population be after 12 years
substitute for A,P and T in the fomula A=P (1+r)^t,give that A=1 000 000,P=10 000 and T=2,and express as a quadratic equation
A = 10,00,000
P = 10,000
T = 2
1000000 = 10000(1+r/100)^2
1000000 = 10000((100 + r)/100)^2
1000000 = 10000× 100 + r/100 × 100 + r/100
1000000 = 10000 + r^2
1000000 - 10000 = r^2
990000 = r^2
√99000 = r
Quadratic Equation
10000(1+r/100)^2
Question 27 of 58
Select the equation that represents the problem. Let x represent the unknown
number.
Mr. Jefferson bought 336 markers for his class. The
markers came in packs of 12. How many packs did he
buy?
A. 336 - x= 12
B. 12x= 336
O C. 336x= 12
O D. x + 12 = 336
SUBMIT
Answer:
B.
Step-by-step explanation:
The answer is B.
What number should be added to -3/2 to get -5/8
Answer: 7 / 8 should be added
Step-by-step explanation:
Let x be the number that should be added
Write the equation
-3/2 + x = -5/8
Add -3/2 on both sides
-3/2 + x + 3/2 = -5/8 + 3/2
x = -5/8 + 3/2
Change the denominator of 3/2 to 8 in order to do addition
x = -5/8 + 12 / 8
x = 7 / 8
Hope this helps!! :)
Please let me know if you have any questions
Please help im begging you
Find the domain of the function expressed by the formula:
y = 1/x - 7
Answer:
the domain is ALL reals numbers except ZERO
- ∞ < x < 0 ∪ 0 < x < ∞
Step-by-step explanation:
Answer:
(-∞,0) ∪ (0,∞), {x|x≠0}
Step-by-step explanation:
I think this is it. Im not completely sure though
what is sqrt 2x-3 = sqrt 3x-9
Answer:
x=6
Step-by-step explanation:
sqrt (2x-3) = sqrt (3x-9)
Square each side
(sqrt (2x-3))^2 = (sqrt (3x-9))^2
2x-3 = 3x-9
Subtract 2x from each side
2x-3-2x = 3x-2x-9
-3 = x-9
Add 9 to each side
-3+9 = x-9+9
6 =x
Check solution
sqrt (2*6-3) = sqrt (3*6-9)
sqrt (9) = sqrt (9)
3=3
Solution is valid
sqrt (2x-3) = sqrt (3x-9)
Square each side
(sqrt (2x-3))^2 = (sqrt (3x-9))^2
2x-3 = 3x-9
Subtract 2x from each side
2x-3-2x = 3x-2x-9
-3 = x-9
Add 9 to each side
-3+9 = x-9+9
6 =x
sqrt (2*6-3) = sqrt (3*6-9)
sqrt (9) = sqrt (9)
3=3
Therefore ans x = 6
Answered by Gauthmath must click thanks and mark brainliest
What is the value of the 2 in 4.502?
Answer:
0.002
Step-by-step explanation:
2 in 4.502 is in the thousandths place
Value is 0.002
Suppose that it takes 12 units of carbohydrates and 8 units of protein to satisfy Jacob's minimum weekly requirements. A particular type of meat contains 2 units of carbohydrates and 2 units of protein per pound. A particular cheese contains 3 units of carbohydrates and 1 unit of protein per pound. The meat costs $3.70 per pound and the cheese costs $2.60 per pound. How many pounds of each are needed in order to minimize the cost and still meet the minimum requirements? What is the minimum cost?
Answer:
a. The number of pounds of the meat required is 3 pounds and the number of pounds of cheese required is 2 pounds.
b. $ 16.7
Step-by-step explanation:
a. How many pounds of each are needed in order to minimize the cost and still meet the minimum requirements?
Let c represent the carbohydrate units and p the protein units.
For the meat portion M, we have 2 units of carbohydrates and 2 units of protein per pound. So, M = 2c + 2p
For the cheese portion K, we have 3 units of carbohydrates and 1 units of protein per pound. So, K = 3c + p.
Let x be the number of pounds of meat required and y be the number of cheese pounds required. The total number of pounds required is T
So, we have xM + yK = x(2c + 2p) + y(3c + p)
= 2xc + 2xp + 3yc + yp
= 2xc + 3yc + 2xp + yp
= (2x + 3y)c + (2x + y)p
Since the required number of units, R is 12 units of carbohydrates and 8 units of protein, we have R = 12c + 8p
Since T = R, we have
(2x + 3y)c + (2x + y)p = 12c + 8p
Equating coefficients, we have
2x + 3y = 12 (1) and 2x + y = 8 (2)
Subtracting (2) from (1), we have
2x + 3y = 12 (1)
-
2x + y = 8 (2)
2y = 4
y = 4/2
y = 2
Substituting y = 2 into (2), we have
2x + y = 8
2x + 2 = 8
2x = 8 - 2
2x = 6
x = 6/2
x = 3
Since x = 3 and y = 2
The number of pounds of the meat required is 3 pounds and the number of pounds of cheese required is 2 pounds.
What is the minimum cost?
Since meat costs $3.70 per pound and the cheese costs $2.60 per pound and we have 3 pounds of meat and 2 pounds of cheese, the total cost of meat is C = $3.70/pound × 3 pounds = $ 11.1.
The total cost of cheese is C' = $2.60/pound × 2 pounds = $ 5.2.
So, the minimum cost C" = C + C' = $ 11.1 + $ 5.2 = $ 16.7
Answer:
Step-by-step explanation:
The speed of the light is approximately 3x10^14 centimeters per second.how much will it take light to Tavel 9x10^14 centimeters
Answer:
3 seconds
Step-by-step explanation:
First, let's calculate the approximate speed of light.
3 · 10^14 = 3 · 100,000,000,000,000
= 300,000,000,000,000
Approximately, light travels 300,000,000,000,000 centimeters per second.
Now, let's simplify 9x10^14.
9 · 10^14 = 9 · 100,000,000,000,000
= 900,000,000,000,000
To find out how many seconds light takes to travel 900,000,000,000,000 centimeters, we have to divide this number by 300,000,000,000,000, the approximate speed of light.
900,000,000,000,000/300,000,000,000,000 = 3
Therefore, it will take 3 seconds for light to travel 900,000,000,000,000 centimeters.
It will take 3 seconds to cover the distance of 9×10¹⁴ cm.
What is scientific notation?We use the scientific notation of numbers to write very large numbers in compact form.
In the scientific form, we write a number in the form of base×10ⁿ.
Where 0 ≤ base < 10 and n can be any rational number.
Given the speed of light s approximately 3×10¹⁴ cm/sec.
∴ It will take (9×10¹⁴/3×10¹⁴) = 3 seconds.
We know that exponents are added when the same base is multiplied and exponents are subtracted when the same base or integral multiple of the same base is divided.
learn more about scientific notation here :
https://brainly.com/question/18073768
#SPJ2
A motel has a policy of booking as many as 150 guests in a building that holds 140. Past studies indicate that only 85% of booked guests show up for their room. Find the probability that if the motel books 150 guests, not enough seats will be available.
Answer:
0.0015 = 0.15% probability that if the motel books 150 guests, not enough seats will be available.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex], if [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex].
150 guests booked:
This means that [tex]n = 150[/tex]
85% of booked guests show up for their room.
This means that [tex]p = 0.85[/tex]
Is the normal approximation suitable:
[tex]np = 150(0.85) = 127.5[/tex]
[tex]n(1-p) = 150(0.15) = 22.5[/tex]
Both greater than 10, so yes.
Mean and standard deviation:
[tex]\mu = E(X) = np = 150*0.85 = 127.5[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{150*0.85*0.15} = 4.3732[/tex]
Find the probability that if the motel books 150 guests, not enough seats will be available.
More than 140 show up, which, using continuity correction, is [tex]P(X > 140 + 0.5) = P(X > 140.5)[/tex], which is 1 subtracted by the p-value of Z when X = 140.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{140.5 - 127.5}{4.3732}[/tex]
[tex]Z = 2.97[/tex]
[tex]Z = 2.97[/tex] has a p-value of 0.9985.
1 - 0.9985 = 0.0015.
0.0015 = 0.15% probability that if the motel books 150 guests, not enough seats will be available.
Which ordered pair is a solution to the system of inequalities? y ≥ –x + 2 y > x – 5
A) (–5,–2)
B) (–1,1)
C) (0,0)
D) (3,2)
Answer:
it should be letter c
Step-by-step explanation:
I hope this help
Answer:
D) (3,2)Step-by-step explanation:
One way of solution is to plot the lines and points and confirm the answer visually.
See attached.
Another way is to substitute the coordinates and verify if they satisfy both of the inequalities.
Each of the methods gives us the correct answer choice of D.
Solve the given differential equation by using an appropriate substitution. The DE is of the form dy/dx = f(Ax + By + C), which is given in (5) of Section 2.5. dy/dx = 4 + (y − 4x + 6)^1/2
dy/dx = 4 + √(y - 4x + 6)
Make a substitution of v(x) = y(x) - 4x + 6, so that dv/dx = dy/dx - 4. Then the DE becomes
dv/dx + 4 = 4 + √v
dv/dx = √v
which is separable as
dv/√v = dx
Integrating both sides gives
2√v = x + C
Get the solution back in terms of y :
2√(y - 4x + 6) = x + C
You can go on to solve for y explicitly if you want.
√(y - 4x + 6) = x/2 + C
y - 4x + 6 = (x/2 + C )²
y = 4x - 6 + (x/2 + C )²
Which best represents data that is not likely to be clustered?
A. a low MAD and IQR
B. low MAD and a great IQR
C. a low IQR and a great MAD
D. a great MAD and IQR
Answer: guess it your self
Step-by-step explanation:
I want a correct answer you can take your time. If I was born on December 24, two thousand and four ( 24 / 12 / 2004 ) and my classmate was born on April 9, two thousand and six ( 09 / 04 / 2006 ), how many months, years and days are we apart?
Answer:
8 months 11 days 1 year