Answer:
Step-by-step explanation:
The most likely quantity is centimetres.
The second option can be inches.
Hope this helps
plz mark it as brainliest!!!!!!!!!
Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual?
Answer:
The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
Step-by-step explanation:
The outcomes provided are:
(A) 0, 1, 2, 6, 7, 8
(B) 0, 1, 2, 7, 8
(C) 0, 1, 7, 8
(D) 0, 1, 2, 8
Solution:
The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.
The probability of X is:
P (X) = 0.65
The number of employees selected is:
n = 8
An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.
Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.
Compute the value of P (X = 2) as follows:
[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]
[tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]
So X = 2 is unusual.
Similarly check for X = 6, 7 and 8.
P (X = 6) = 0.2587 > 0.05
X = 6 not unusual
P (X = 7) = 0.1373 > 0.05
X = 7 not unusual
P (X = 8) = 0.0319
X = 8 is unusual.
Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
Jerry wants to gravel an area represented by a square with side lengths of 3/4ft. What is the area he needs to fill.
Answer:
0.5625 ft^2
Step-by-step explanation:
area of square = side * side
A = s^2
A = (0.75 ft)^2 = (0.75 ft)(0.75 ft) = 0.5625 ft^2
A student who is 5 1/4 feet tall has a shadow that is 2 feet and 10 1/2 inches long. At the same time. a flag pole has a shadow that is 10 1/2 feel long. How tall, to the nearest inch, is the flag pole?
Answer:
The height of the flag pole is approximately 19 feet and 2 inches.
Step-by-step explanation:
Let suppose that length of the shadow of the object is directly proportional to its height. Hence:
[tex]l \propto h[/tex]
[tex]l = k\cdot h[/tex]
Where:
[tex]h[/tex] - Height of the object, measured in inches.
[tex]l[/tex] - Shadow length of the object, measured in inches.
[tex]k[/tex] - Proportionality constant, dimensionless.
Now, let is find the value of the proportionality constant: ([tex]h = 5\,\frac{1}{4} \,ft[/tex] and [tex]l = 2\,ft\,\,10\,\frac{1}{2}\,in[/tex])
[tex]h = \frac{21}{4}\,ft[/tex]
[tex]h = \left(\frac{21}{4}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)[/tex]
[tex]h = 63\,in[/tex]
[tex]l = (2\,ft)\cdot \left(12\,\frac{in}{ft} \right) + \frac{21}{2}\,in[/tex]
[tex]l = 24\,in + \frac{21}{2}\,in[/tex]
[tex]l = \frac{48}{2}\,in+\frac{21}{2}\,in[/tex]
[tex]l = \frac{69}{2}\,in[/tex]
Then,
[tex]k = \frac{l}{h}[/tex]
[tex]k = \frac{\frac{69}{2}\,in }{63\,in}[/tex]
[tex]k = \frac{69}{126}[/tex]
[tex]k = \frac{23}{42}[/tex]
The equation is represented by [tex]l = \frac{23}{42}\cdot h[/tex]. If [tex]l = 10\,\frac{1}{2}\,ft[/tex], then:
[tex]l = \frac{21}{2}\,ft[/tex]
[tex]l = \left(\frac{21}{2}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)[/tex]
[tex]l = 126\,in[/tex]
The height of the flag pole is: ([tex]l = 126\,in[/tex], [tex]k = \frac{23}{42}[/tex])
[tex]h = \frac{l}{k}[/tex]
[tex]h = \frac{126\,in}{\frac{23}{42} }[/tex]
[tex]h = \frac{5292}{23}\,in[/tex]
[tex]h = 230\,\frac{2}{23}\,in[/tex]
[tex]h = \frac{115}{6}\,ft\,\frac{2}{23}\,in[/tex]
[tex]h = 19\,\frac{1}{6}\,ft \,\frac{2}{23}\,in[/tex]
[tex]h = 19\,ft\,\,2\,\frac{2}{23}\,in[/tex]
[tex]h = 19\,ft\,\,2\,in[/tex]
The height of the flag pole is approximately 19 feet and 2 inches.
Solve the equation below for y. 6x – 3y = 36 A. y = 2x − 12 B. y = 12 − 2x C. y = 12x + 6 D. y = 6 – 12x
Answer:
y=-12+2x
Step-by-step explanation:
The equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.
Hence, the correct answer is A. y = 2x - 12.
Given is an equation 6x - 3y = 36, we need to solve for y.
To solve the equation 6x - 3y = 36 for y, we need to isolate y on one side of the equation.
Here's the step-by-step process:
Start with the given equation: 6x - 3y = 36
Get rid of the constant term (36) on the right side by subtracting 36 from both sides:
6x - 3y - 36 = 36 - 36
6x - 3y = 0
Divide both sides of the equation by -3 to isolate y:
(6x - 3y) / -3 = 0 / -3
(6x)/(-3) - (3y)/(-3) = 0
-2x + y = 0
Add 2x to both sides to isolate y:
-2x + y + 2x = 0 + 2x
y = 2x
So, the equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.
Hence, the correct answer is A. y = 2x - 12.
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HELP ASAP MATH QUESTION The midpoint of a line segment is located at (3, -2). If one of the endpoints is (1, 6), what is the other endpoint? Express your answer as an ordered pair.
Answer:
(5, -10)Step-by-step explanation:
[tex]Midpoint = (3,-2)\\1st \: endpoint = (1,6)\\2nd \: endpoint = ?\\\\\\Let \: (1,6) \:be \:x_1y_1\\Let\:(3,-2)\: be\:x\:and\:y\\\\x=(x_1+x_2)/2\\y=\frac{(y_1+y_2)}{2} \\\\3 =\frac{1+x_2}{2} \\\\3\times 2 =1+x_2\\\\6 = 1+x_2\\6-1=x_2\\\\x_2 =5\\\\y=\frac{(y_1+y_2)}{2} \\-2 = \frac{6+y_2}{2}\\\\ -2 \times 2= 6+y_2\\\\-4 = 6+y_2\\\\-4-6=y_2\\\\y_2 = -10\\\\Answer = (5 ,-10)[/tex]
PLEASE help me solve this question! No nonsense answers, and attach full solutions please!
Answer:
6.4 seconds
Step-by-step explanation:
Using the second equation of motion.
d= 200m/s.
a= 9.8ms^-1 . Acceleration due to gravity.
t= time.
substituting,
t=
[tex] \sqrt{2 \times \frac{200}{9.8} } [/tex]
t= 6.4 seconds
There are two types of boxes containing mangoes. Each box of the larger type contains 4 more mangoes than the number of mangoes contained in 8 boxes of the smaller types. Each box has 100 mangoes. Find the number of mangoes contained in the smaller box.
Answer:
12 mangoes
Step-by-step explanation:
Two types of boxes contains mangoes
The larger box contain 4 mangoes than the number of mangoes that is present in 8 smaller box
Each of the box have a total of 100 mangoes
Let y represent the number of mangoes that is present in the smaller box
Therefore, the number of mangoes in the smaller box can be calculated as follows
8y + 4= 100
Collect the like terms
8y= 100-4
8y= 96
Divide both sides by the coefficient of y which is 8
8y/8= 96/8
y= 12
Hence the number of mangoes that is present in the smaller box is 12
which transformations can be used to map a triangle with vertices A(2, 2), B(4,1), C(4, 5) to A'(-2,-2), B'(-1.-4). C'(-5, -4)?
Answer:
C!
Step-by-step explanation:
6=m/8 whats does m equal?
Answer:
m=48
Step-by-step explanation:
━━━━━━━☆☆━━━━━━━
▹ Answer
m = 48
▹ Step-by-Step Explanation
Rewrite:
m/8 = 6
Use the inverse operation:
8 * 6 = 48
m = 48
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
The graph below represents which of the following functions?
Answer:
Option (B).
Step-by-step explanation:
From the figure attached,
There are two pieces of the function defined by the graph.
1). Curve with the domain (-∞, 2)
2). Straight line with domain (2, ∞)
1). Function that defines the curve for x < 2,
f(x) = |4 - x²|
2). Linear function which defines the graph for x ≥ 2 [Points (2, 2), (4, 4), (6, 6) lying on the graph]
f(x) = x
Therefore, Option (B) will be the answer.
Please answer this question now
Answer:
Surface area of a cone = 461.58 In²
Step-by-step explanation:
Surface area of a cone = πrl + or
Surface area of a cone = πr(r+l)
Where r = radius
Radius= diameter/2
Radius=14/2
Radius= 7 inch
And l slant height= 14 inch
Surface area of a cone = πr(r+l)
Surface area of a cone = π*7(7+14)
Surface area of a cone = 7π(21)
Surface area of a cone = 147π
Surface area of a cone = 461.58 In²
Select the equations of the lines that are parallel to the line whose equation is y= 3x +5.
-3x + y = 8
3y = 9x
y=- jx
16x + 2y = 12
Answer:
-3x + y = 8.
3y = 9x.
Step-by-step explanation:
To find the slope of the lines we convert to slope-intercept form, which is
y = mx + c (m is the slope.)
The slope of y = 3x + 5 is therefore 3.
Parallel lines have the same slope.
Finding the slope of the given lines:
-3x + y = 8
y = 3x + 8 - slope is 3 so this is parallel to y = 3x + 5.
3y = 9x
Divide through by 3:
y = 3x - so this is also parallel to 3x + 5.
y = -jx The slope is -j so it is not parallel.
16x + 2y = 12
2y = -16x + 12
y = -8x + 6 - Not parallel.
Is f(x) =(x+5)2 a function, an odd function, both or neither
Explanation:
f(x) = (x+5)^2 = x^2+10x+25 = x^2+10x^1+25x^0
The exponents for that last expression are 2, 1, 0
The mix of even and odd exponents in the standard form means f(x) is neither even nor odd. We would need to have all exponents even to have f(x) even, or have all exponents odd to have f(x) be odd.
What is the slope of the line below?
y=2/3 X - 3
Answer:
2/3
Step-by-step explanation:
Hey there!
Well in the equation,
y = 2/3x - 3
the slope is 2/3 because the equation shows 2/3x and wherever the x is in slope intercept that the slope.
Hope this helps :)
How many bicycles and how many skateboards are in the shop? Show your work.
Answer:75
Step-by-step explanation:54+21
Answer:
15 bicycles, 6 skateboards
Step-by-step explanation:
We are looking for the number of skateboards and the number of bicycles. Those two numbers are our unknowns.
We define variables for those two numbers.
Let s = number of skateboards.
Let b = number of bicycles.
A skateboard has 4 wheels. s number of skateboards have 4s wheels.
A bicycle has 2 wheels. b bicycles have 2b wheels.
The total number of wheels is 4s + 2b.
The total number of wheels is 54, so our first equation is
4s + 2b = 54
The total number of skateboards and bicycles combined is s + b.
We are told the total number of skateboards and bicycles combined is 21.
The second equation is
s + b = 21
We have a system of two equations in two unknowns.
4s + 2b = 54
s + b = 21
We can solve it by the elimination method.
Rewrite the first equation below.
Multiply both sides of the second equation by 2 and write it below that. Then add the equations.
4s + 2b = 54
(+) -2s - 2b = -42
-----------------------------
2s = 12
s = 6
There are 6 skateboards.
Now we substitute 6 for s in the second original equation and solve for b.
s + b = 21
6 + b = 21
b = 15
There are 15 bicycles.
Answer: 15 bicycles, 6 skateboards
classify what type of number is 8/2
Answer:
unsimplified improper fraction
Step-by-step explanation:
8/2 could be simplified into 4 and its an improper fraction bc proper fraction form is 4/1 or just 4
the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the tower
Answer:
30.51 meters
Step-by-step explanation:
Given that:
The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.
According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°
Also let the distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B
To find B, since the angle between the height of the tower and the base is 90°, we use:
B + 36° + 90° = 180° (sum of angles in a triangle)
B + 126 = 180
B = 180 - 126
B = 54°
Therefore using sine rule:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters[/tex]
The height of the tower is 30.51 meters
solve for x 7(x-3)+3(4-x)= -8
Answer:
Step-by-step explanation:
7x - 21 + 12 - 3x = -8
4x - 9 = -8
4x = 1
x = 1/4
Answer:
x= 0.25, or x=1/4
Step-by-step explanation:
First, use the distributive property and multiply 7 within the parenthesis:
7x -21
Next, use the distributive property again, and multiply 3 within the parenthesis:
12 -3x
Combine Like terms: 7x - 21 + 12 - 3x
4x - 9
Add 9 to both sides: 4x - 9 = -8
-8 + 9 = 1
Divide 4 by both sides: 4x = 1
1 / 4 = .25 or 1/4
Quiana took out a loan to pay for a new car. Initially she owned the lender $15,234.68. She has repaid $247.43 of the loan each month for the past 5 months. What is the net changed to the loan from Quiana's perspective over the past 5 months?
Answer:
[tex]Net\ Change = \$13997.53[/tex]
Step-by-step explanation:
Given
[tex]Debt = \$15,234.68[/tex]
[tex]Monthly\ Payment= \$247.43[/tex]
[tex]Duration = 5\ months[/tex]
Required
Determine the net change
First, we need to determine the total repaid amount;
[tex]Amount = Monthly\ Payment * Duration[/tex]
Substitute values for Monthly Payment and Duration
[tex]Amount = \$247.43 * 5[/tex]
[tex]Amount = \$1237.15[/tex]
The net change is the difference between the loan amount and the repaid amount
[tex]Net\ Change = Loan\ Amount - Repaid\ Amount[/tex]
[tex]Net\ Change = \$15,234.68 - \$1237.15[/tex]
[tex]Net\ Change = \$13997.53[/tex]
Hence, the net change over the period of 5 months is $13997.53
Answer: Quiana's initial loan amount is -15, 234.68. This is the total amount of money she must pay back to the lender.
Freddy the frog is climbing up a well. Every day he climbs up 3 m but some nights he falls asleep and slips back 4m at the start of the 16th day he has climbed a total of 29 m. On how many nights was he asleep?
Answer: The frog fell asleep for 4 nights.
Step-by-step explanation: First, he climbs up 3m every night. there are 16 nights before he gets to 29m. He has not climbed up for the 16th day so 15*3= 45. 45-29= 16. 16/4=4. The frog slept for 4 nights.
Ella's pet snake is 42 inches long, and Roya's pet snake is 8 feet long. How many inches longer is Roya's snake?
Answer:
54 inches
Step-by-step explanation:
First, let's convert the measurements into a common measurement.
Since inch is the smallest measurement here, let's use that.
Ella's pet snake is 42 inches long.
Roya's pet snake is 8 feet long. There are 12 inches in one foot. Therefore, 8 feet would mean 12 times 8 or 96 inches.
Therefore, Roya's snake is 96 inches long.
To find out how many inches longer is Roya's snake, subtract:
96 - 42 = 54.
Therefore, Roya's snake is 54 inches longer than Ella's.
What is 20 to 7 minus 1 hour 40 mins Will award brainliest
6:40 or 6 hour 40 minutes,
if you go back(subtract) 1 hour and 40 minutes
i.e. 6hours 40 minutes- 1 hour 40 minutes
subtract minutes from minutes and hours from hours,
5:00
note that here the minutes value is not negative so it was not a problem, what If it was 6:40-1:50?
help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
Answer:
72
Step-by-step explanation:
As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.
Therefore the rectangular prism will have a volume of 2 [tex]*[/tex] 4 [tex]*[/tex] 9
2 [tex]*[/tex] 4 [tex]*[/tex] 9 = 8( 9 ) = 72 cubic units
Solution : 72 unit cubes
7x-x ............................ .
Answer:
6x
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
Four different animals live in the forest. They sleep during the daytime and hunt at night. They have similar physical characteristics but their skin colors are different as shown in the following table. Animal Skin Color A White B Brown with white spots C Dark brown D Black and white stripes Which animal is least likely to be captured by predators? Animal A Animal B Animal C Animal D
Answer:
I would gues c because brown is the hardest to see in the dark
Answer:
C dark brown
Step-by-step explanation:
A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of children for a family is. Of this sample, 53% stated that they thought 2 children is the ideal number.
A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of children for a family is. Of this sample, 53% stated that they thought 2 children is the ideal number. Construct and interpret a 95% confidence interval for the proportion of all US adults that think 2 children is the ideal number.
Answer:
at 95% Confidence interval level: 0.501776 < p < 0.558224
Step-by-step explanation:
sample size n = 1200
population proportion [tex]\hat p[/tex]= 53% - 0.53
At 95% confidence interval level;
level of significance ∝ = 1 - 0.95
level of significance ∝ = 0.05
The critical value for [tex]z_{\alpha/2} = z _{0.05/2}[/tex]
the critical value [tex]z _{0.025}= 1.96[/tex] from the standard normal z tables
The standard error S.E for the population proportion can be computed as follows:
[tex]S,E = \sqrt{\dfrac{\hat p \times (1-\hat p)}{n}}[/tex]
[tex]S,E = \sqrt{\dfrac{0.53 \times (1-0.53)}{1200}}[/tex]
[tex]S,E = \sqrt{\dfrac{0.53 \times (0.47)}{1200}}[/tex]
[tex]S,E = \sqrt{\dfrac{0.2491}{1200}}[/tex]
[tex]S,E = 0.0144[/tex]
Margin of Error E= [tex]z_{\alpha/2} \times S.E[/tex]
Margin of Error E= 1.96 × 0.0144
Margin of Error E= 0.028224
Given that the confidence interval for the proportion is 95%
The lower and the upper limit for this study is as follows:
Lower limit: [tex]\hat p - E[/tex]
Lower limit: 0.53 - 0.028224
Lower limit: 0.501776
Upper limit: [tex]\hat p + E[/tex]
Upper limit: 0.53 + 0.028224
Upper limit: 0.558224
Therefore at 95% Confidence interval level: 0.501776 < p < 0.558224
The function f(x)=x^2 + ax + b has a minimum at (3,9) what are the values of a and b
Answer:
Step-by-step explanation:
The function is f(x)=x^2 + ax + b
Derivate the function:
● f'(x)= 2x + a
Solve the equation f'(x)=0 to find a
The minimum is at (3,9)
Replace x with 9
● 0 = 2×3 + a
● 0 = 6 + a
● a = -6
So the value of a is -6
Hence the equation is x^2 -6x+b
We have a khown point at (3,9)
● 9 = 3^2 -6×3 +b
● 9 = 9 -18 + b
● 9 = -9 +b
● b = 18
So the equation is x^2-6x+18
Verify by graphing the function.
The vetex is (3,9) and it is a minimum so the equation is right
Factor completely 3x^2 + 5x + 1. (3x + 1)(x + 1) (3x + 5)(x + 1) (3x − 5)(x + 1) Prime
Answer:
prime
Step-by-step explanation:
3x^2 + 5x + 1
3x^2 factors in to 3x and x
1 factors into 1 and 1
( 3x + 1) ( x+1)
We need to verify the middle is 5
3x+1x = 4x
so this is not true
We cannot factor this so it is prime
Answer:
[tex]\large \boxed{\sf Prime}[/tex]
Step-by-step explanation:
[tex]3x^2 + 5x + 1[/tex]
We need to find two numbers that add to 5 and multiply to get 1.
There are no real numbers.
The expression cannot be factored. The expression is prime.
find the last common denominator for these two rational expressions
Answer:
Least common denominator = (x - 1)²(x - 2)
Step-by-step explanation:
Least common denominator of two rational expressions = LCM of the denominator of the expressions.
[tex]\frac{x^3}{x^2-2x+1}[/tex] and [tex]\frac{-3}{x^{2}-3x+2}[/tex]
Factorize the denominators of these rational expressions,
Since, [tex]x^{2}-2x+1[/tex] = x² - 2x + 1
= (x - 1)²
And x² - 3x + 2 = x² - 2x - x + 2
= x(x - 2) -1(x - 2)
= (x - 1)(x - 2)
Now LCM of the denominators = (x - 1)²(x - 2)
Therefore, Least common denominator will be (x - 1)²(x - 2).
Positive numbers are not closed under subtraction. Give an example of this 1
below.
Answer:
5 -3 = 2
3-5 = -2
Step-by-step explanation:
In this question, we want to examine the validity of the statement by the use of an example.
Firstly, we need to understand the meaning of the fact that they are ‘closed’
By saying these numbers are closed under this arithmetic operation i.e subtraction, we directly mean that they obey the closure property.
Now, to obey the closure property means that if we move either way i.e by switching the numbers and performing the same arithmetic operation of subtraction, we are supposed to get same answer.
What this means in terms of examples is as follows;
Consider two positive numbers, 5 and 3
Now we know that 5-3 = 2
To check if the closure property is obeyed, switch the place of the numbers.
This means we would have;
3-5 = -2
We can see that both results are not the same. We can then conclude that the arithmetic operation of subtraction is not closed or does not obey the closure property for positive numbers.
