Answer:
If the slope is zero, then that means that 2 would be the y intercept, and it would be a straight horizontal line crossing through that point.
Step-by-step explanation:
Mixed in a drawer are 2 blue socks, 8 white socks, and 6 gray socks. You pull out two socks, one at a time, without looking. Find the probability of getting 2 socks of the same color.
Answer:
6/16
Step-by-step explanation:
Write them out bb wwwwwwww gggggg
there are 16 in total so it would be 6/16 because of each color like bb ww gg thats 6 out of 16
The probability of getting 2 socks of the same color is 1/3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
In the drawer,
Number of blue socks = 2
Number of white socks = 8
Number of gray socks = 6
Total number of socks = 2 + 8 + 6 = 16
The Total ways to select 2 socks form 16 socks is 120.
The Total ways to select 2 socks of the same color is
T = Possible ways of (2 blue + 2 white +2 gray) socks = 40
The probability of getting 2 socks of the same color is
= 40/120
= 1/3
Therefore, the probability of getting 2 socks of the same color is 1/3.
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If triangle ABC is equilateral, and side AC is 7m long, how long is side BC?
Answer:
7m
Step-by-step explanation:
In an equilateral triangle all the sides and angles are the same
which of the following equations is perpendicular to y=3/4+4 and passed through the point (6,-12)
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x−5 y = 4 x - 5 must have a slope that is the negative reciprocal of the original slope.
Step-by-step explanation:
The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1395 grams and standard deviation 200 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1160 and 1250 grams?(b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.
Answer:
a) 0.0977
b) 0.3507
c) No it is not unusual for a broiler to weigh more than 1610 grams
Step-by-step explanation:
Mean = 1395 grams
Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
(a) What proportion of broilers weigh between 1160 and 1250 grams?
For x = 1160
z = 1160 - 1395/300
= -0.78333
Probability value from Z-Table:
P(x = 1160) = 0.21672
For x = 1250 grams
z = 1250 - 1395/300
z = -0.48333
Probability value from Z-Table:
P(x = 1250) = 0.31443
The proportion of broilers weigh between 1160 and 1250 grams is
0.31443 - 0.21672
= 0.09771
≈ 0.0977
(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?
For x = 1510
= z = 1510 - 1395/300
z = 0.38333
Probability value from Z-Table:
P(x<1510) = 0.64926
P(x>1510) = 1 - P(x<1510) = 0.35074
Approximately = 0.3507
(c) Is it unusual for a broiler to weigh more than 1610 grams?
For x = 1610
= z = 1610 - 1395/300
z = 0.71667
Probability value from Z-Table:
P(x<1610) = 0.76321
P(x>1610) = 1 - P(x<1610) = 0.23679
No it is not unusual for a broiler to weigh more than 1610 grams
Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.) (8.99)3 using differentials
Answer:
726.572699
Step-by-step explanation:
According to differentials
(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)
Using this formula to solve (8.99)³, this can also be written as;
(8.99)³ = (9-0.01)³ where
x = 9
Δx = -0.01
Substitute this vales into the differential expression above
(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³
(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 726.572699
Hence 8.99³ = 726.572699 (Using differential)
Using calculator;
8.99³ = 726.572699
Select the correct months.
The balance of Jim's account on the first day of the month for the first six months of 2013 is given. Identify the months when the balance was
less than the balance in January.
Please answer.
Answer:
June I got u bro it was easy but there u got
Answer:
june,april,march
Step-by-step explanation:
yeeeeeeeeeeeeeeee i <3 waaaaaaaaafuls
Calleigh puts 5 nickels into an empty hat. She
wants to add enough pennies so that the probabil-
ity of drawing a nickel at random from the hat is 1/6
How many pennies should she put in?
Kai sells a small magazine full of celebrity gossip to college students for $2.65 per copy. Hiring the printing press for one day, the only fixed cost, is $435 an issue. The variable cost of printing each issue is $0.82 per copy. The printer tells Kai the cost of hiring the press is to increase by $116 per day. If changing to color increases variable costs by $0.40, what is the percentage decrease in contribution margin resulting from the switch to color?
Answer:
Percentage decrease= 21.86%
Step-by-step explanation:
Giving the following information:
Selling price per unit= $2.65
Current variable cost= $0.82
Increase in variable cost= $0.4
To calculate the unitary contribution margin, we need to use the following formula:
Unitary contribution margin= selling price - unitary variable cost
Unitary contribution margin= 2.65 - 0.82
Unitary contribution margin= $1.83
New contribution margin= 2.65 - 1.22
New contribution margin= $1.43
Finally, the percentage decrease:
Percentage decrease= [1 - (1.43/1.83)]*100
Percentage decrease= 21.86%
What is the horizontal distance from the origin to the point 2,9
Answer:
2
Step-by-step explanation:
The x-coordinate of point (2, 9) is 2.
The distance from 0 to 2 on a number line is 2.
Answer: 2
the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24inches, what is the signs area
Answer:
20 square inches
Step-by-step explanation:
Set width of sign to x.
Set length of sign to y.
5x=y
2(x+y)=24 inches
2(x+5x)=24 inches
12x=24 inches
width = 2 inches
length = 10 inches
Area = 20 square inches
PLEASE GIVE BRAINLIEST
The area of the rectangular sign will be 20 square inches
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24 inches.
The area of the rectangle will be calculated as follows:-
5x = y
2(x+y)=24 inches
2(x+5x)=24 inches
12x=24 inches
The area of the rectangle:-
width = 2 inches
length = 10 inches
Area = 20 square inches
Therefore, the area of the rectangular sign will be 20 square inches.
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Triangle FGH is rotated and then dilated by a scale factor of n to form triangle F’G’H’.
If FGH F’G’H’ what is the value of n
Answer:
B. [tex] n = \frac{1}{3} [/tex]
Step-by-step explanation:
If ∆FGH ~ ∆F'G'H', then their corresponding side lengths would be proportional. This means:
F'G'/FG = G'H'/GH = F'H'/FH = n
The ratio of any of their corresponding side lengths will give you the value of n.
Therefore:
n = F'G'/FG
F'G' = 5
FG = 15
Thus,
[tex] n = \frac{5}{15} [/tex]
[tex] n = \frac{1}{3} [/tex]
The scale factor which is a fraction implies that the size of ∆FGH was reduced after dilation.
Mae ling earns a weekly salary of 400 plus a 6.5 commission on sales at a gift shop how much would she make in a work week if she sold 4300 worth of merchandise
Answer:
Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.
Step-by-step explanation:
Given that
Weekly salary of Mae Ling = $400
Commission rate = 6.5%
Mae ling's total weekly earning will be her salary plus her commission on the sales she does in the week.
Given that her sales for the said week are: $4300
Her commission will be:
[tex]Commission = 6.5\%\ of\ sales\\ = 0.065*4300\\=\$279.5[/tex]
Now to calculate her total salary, we will add the weekly salary and commission.
[tex]Total\ weekly\ Earning = Weekly\ Salary +\ Commission\\= \$400+\$279.5\\=\$679.5[/tex]
Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.
What is the approximate ratio of the difference in means to the MADs of the data sets? 4 6 7 31
Answer: The answer is 6
Step-by-step explanation:
Edginuity
Answer:
B: 6
Step-by-step explanation:
edg2020
what is the common factor between 536 and 10
Answer:
im pretty sure it is 2
Step-by-step explanation:
find the sum of 301+73+27 , mentally, using the associative property of addition. Show how you can use the property to group two of the addends. Explain how you found the sum.
Answer:
401
Step-by-step explanation:
301 + 73 + 27
Using the correct order of operations, you would start by adding 301 to 73. Then you'd add 27 to that sum.
Using the associative property of addition, you change the grouping to add 73 and 27 first since that equals 100, and it's easy to add 100 to 301 mentally.
301 + 73 + 27 =
= 301 + (73 + 27)
= 301 + 100
= 410
On Saturday, Nikki and Tyler walked to the local farmer’s market. Nikki bought 8 apples for $6. Tyler bought 3 fewer apples than Nikki. How much did Tyler spend on apples?
Answer: 3.75
Step-by-step explanation:
8 apples = $6
4 apples = $3
2 apples = $1.5
1 apple = 0.75
3 +.75= 3.75
Answer:
3.75
Step-by-step explanation:
8/6 is 75 cents 8-3 is 5 75 cents x 5 3.75
three less than the sum of a number and
twelve
Answer:
(x + 12) - 3
Step-by-step explanation:
I used x for "a number".
Hope this helps and pls do mark me brainliest:)
Write an equation for the line in the given form.
Contains the points (2,8) and (3, 11); slope-intercept form
Answer:
y = 3x + 2
Step-by-step explanation:
y=mx+b is slope intercept form
to find slope (m):
y2-y1/x2-x1 = 11-8/3-2 = 3
your slope is 3 so 3x
to find the y-intercept (b):
plug in y and x from either of the two points
(2,8)... 8=3(2)+b and solve for b which equals 2
so final equation is y=3x+2
what is the value of f(x)=3x-4 if x = -4?
Answer:
-16
Step-by-step explanation:
when x = -4
f(-4) = 3(-4) - 4 = -16
Answer:
f(-4)=3(-4)-4
f(×)=48
Which of the equations below could be the equation of this parabola?
(0,0)
Vertex
5
O A. x = 1 / ²
O B. - *
O c. y - 1²
D. x - - 1 / 2
0
Based on the graph, an equation which could be the equation of this parabola is x = -5y².
How to find the equation of a parabola.
Mathematically, the general equation of a parabola is given by:
[tex]y = a(x-h)^2 + k \\\\ x= a(y-k)^2 +h[/tex]
Where:
h and k represents the vertex.Also, the standard equation of a regular parabola is given by:
y = x²/4a
Note: The vertex for this parabola is at the origin (0, 0).
Based on the graph, an equation which could be the equation of this parabola is x = -5y².
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Find the area under the standard normal curve to the right of z= 1.
Answer:
Step-by-step explanation:
At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?
Answer:
At 43.2°.
Step-by-step explanation:
To find the angle we need to use the following equation:
[tex] d*sin(\theta) = m\lambda [/tex]
Where:
d: is the separation of the grating
m: is the order of the maximum
λ: is the wavelength
θ: is the angle
At the first-order maximum (m=1) at 20.0 degrees we have:
[tex] \frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342 [/tex]
Now, to produce a second-order maximum (m=2) the angle must be:
[tex] sin(\theta) = \frac{\lambda}{d}*m [/tex]
[tex] \theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ} [/tex]
Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.
I hope it helps you!
If x is the principal square root of 7, what must be true?
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
it is c if you add 2x8 wich makes 16
A package of 6 pairs of insulated gloves cost $45.54. What is the unit price of the pairs of gloves?
ASAP PLEASE
Answer:
7.59 dollars is the unit price
Step-by-step explanation:
-2x + y = 1
7x - y = -1
-8x+y
9-y
this is the answer because it is
Answer:
i dont know what you want but i will give you it to you in slope intercept form and the x and y intercept for both eqautions
Step-by-step explanation:
first equation:
y=2x+1
x intercept:(-1/2,0)
y intercept: (0,1)
second equation:
y=7x+1
x intercept:(-1/7,0)
y intercept: (0,1)
hope this helps pls mark brainliest this took me a long time to do :)
Last week, Kira drove 291 miles. This week, she drove n miles. Using n, write an expression for the total number of miles she drove in the two weeks.
Answer:
d = 291 + n
Step-by-step explanation:
Given that,
Last week, Kira drove 291 miles. Then this week she drove n miles.
We need to find an expression for the total number of miles she drove in the two weeks. It can be calculate by adding distance force 2 weeks. So,
d = 291 + n
Hence, this is the required solution.
Your last doctor visit cost $105 health insurance through your employer pay $84 and you pay the remaining $21 what percentage of the cost if you pay
Answer:20% percentage of the cost you pay .
Step-by-step explanation:
Formula
As given
Your last doctor’s visit cost $105.
Health insurance through your employer paid $84, and you paid the remaining $21.
Part value = $21
Total value = $105
Put all the values in the formula
Percentage = 20%
Therefore the 20% percentage of the cost you pay .
Answer: 20%
Step-by-step explanation:
Math HELP PLEASEE URGENT NOWWWWWW MATH!!!!
Answer:
A
Step-by-step explanation:
Answer is the first choice. you can tell by the notation.
Answer:
is A
Step-by-step explanation:
Because i now how do this
solve
the following linear Equations
152x-378y=-74
-378x+152y=604
Answer:
x=2& y=1
Step-by-step explanation:
check it out
whether answer is correct or not