Answer:
The found values are:
μ = 8
σ = 2
Step-by-step explanation:
Following data is given in the question:
p = 0.5
n = 16
Consider that it follows binomial distribution:
For binomial distribution, the mean is the product or probability 'p' and and the sample size 'n' :
μ = p · n
μ = 0.5 · 16
μ = 8
For binomial distribution, the standard deviation is the square root of product of sample size 'n' and the probabilities 'p' and 'q'.
σ = √(n·p·q)
where q = 1 - p = 1 - 0.5 = 0.5
σ = √(16 · 0.5 · 0.5)
σ = √4
σ = 2
Which of the following steps were applied to ABCD to obtain A’B’C’D’ ?
Answer: a
Step-by-step explanation: they went 4 left and 3 up
[tex]2 3/5 × 3 1/3[/tex]
Answer:
26/3
Step-by-step explanation:
2 3/5 × 3 1/3
Change to improper fractions.
13/5 × 10/3
Multiply both fractions.
130/15
Simplify.
26/3
solve this system of linear equation. separate the x- and y-values with a comma. 15x+4y=-80 5x+5y=1
Answer:
(x, y) = (-404/55, 83/11)
Step-by-step explanation:
15x + 4y = -80
5x + 5y = 1
Multiplying both side of 2nd equation by 3:
=>
15x + 4y = -80
15x + 15y = 3
Subtracting the 1st equation from 2nd equation:
=>
11y = 83
Dividing both sides by 11 to work out y:
=> y = 83/11
Substituting y back into 2nd equation to work out x:
=> 5x + 5(83/11) = 1
=> 5x + 415/11 = 1
=> 5x = 1 - 415/11
=> 5x = -404/11
=> x = (-404/11)/5
=> x = -404/55
=> (x, y) = (-404/55, 83/11)
Hope this helps!
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Answer:
7
Step-by-step explanation:
I NEED THIS ASAP !! Which expression is modeled by this arrangement of tiles?
30 positive tiles are divided into 3 sets of 10 positive tiles.
30 divided by (negative 30)
30 divided by (negative 3)
30 divided by 3
30 divided by 30
Answer:
C
Step-by-step explanation:
Answer:
30 divided by 3
Step-by-step explanation:
30 positive tiles are divided into 3 sets of 10 positive tiles.
+30 ÷3 = +10
The next term in a sequence Comes from adding the
previous two terms. Find the missing terms below.
2,
,9
, 25,
66
Answer:
Step-by-step explanation:
Each new term is the sum of the two preceding terms. Given 2, 9, etc., we see that a number between 2 and 9 is missing; call it x. Then 2 + x must equal 9, and so x = 7, and so the first three terms are 2, 7, 9. Repeating the process, we add 7 and 9, obtaining 16; thus the first four terms are 2, 7, 9, 16. Continuing this pattern, we add 9 and 16 to obtain the fifth term, which is 25: 2, 7, 9, 16, 25. And so on.
Carol Byrd gets a student rate of $30.00 a month. There is a $200 deductible; but no coinsurance payment. She
recently received treatment for a covered condition. The bill was $2,050.00. Carol's insurance company provided
payment of 80% of the bill less the deductible.
What was the company's payment?
What was Carol's total cost (ignoring the monthly premium)?
Answer:
$160
Step-by-step explanation:
100/100 = 100 ÷ 100 = 100% = 1. Multiply a number by the fraction 100/100
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The company payment is $1440.
Carol's total cost is $610.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of the bill = $2,050
Company payment = 80% of the bill less the deductible
This means,
80/100 x 2,050 = 1640
Company payment.
= 1640 - 200
= $1440
Now,
Carol's total cost.
= 2,050 - 1440
= $610
Thus,
The company payment is $1440.
Carol's total cost is $610.
Learn more about percentages here:
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With what radius will a circle with a central angle
of 15º have an intercepted arc of length of 5/4pi
inches?
help pls will give brainliest
Answer:
no
Step-by-step explanation:
Need so help. REally appreciate it
Answer:
y = (1/2)(x) + 1/2
Step-by-step explanation:
The x-intercept is (-1, 0) and the y-intercept appears to be (0, 1/2).
As we go from the x-intercept to the y-intercept, x increases by 1 and y increases by 1/2. Thus, the slope of the line is m = rise / run = 1/2.
Knowing that m = 1/2 and b = (0, 1/2), we can write the equation of this line in slope-intercept form as
y = (1/2)(x) + 1/2
Solve this system of linear equations. Separate
the x- and y-values with a comma.
5x + 2y = 13
-9x + 7y = 19
Answer:
A) 5x + 2y = 13
B) -9x + 7y = 19 We'll multiply equation A) by -(7/2)
A) -35/2 x -7y = -(91/2) then we'll add equation B)
B) -9x + 7y = 19
-53/2x = -53/2
x = 1
2y = 13 -5
y = 4
Step-by-step explanation:
The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each
month they received $5.50 as a credit on the bill. Which equation and solution shows
the cost of their monthly Internet service before the credit?
3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
3 (x - 5.50) = 111.75; the monthly Internet service is $42.75
1/3 (x - 5.50) = 111.75; the monthly Internet service is $42.75
1/3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
Answer:
3 (x - 5.50) = 111.75
Step-by-step explanation:
They paid $111.75 for three months, that means they minus $5.50 every month which means a total of $16.5 for three months.
So you need use $111.75 plus the credit $16.5 for three months
111.75 + 16.5 = 128.25
Then use divide them by 3, (three months)
128.25 / 3 = 42.75
So they pay $42.75 per month before the credit.
I wish this could help you.
Answer:
b
Step-by-step explanation:
because i just took the test
Find the value of Y.
Determine the value of x in the triangle shown. answers : 49° 229° 41° 131°
Answer:
49*
Step-by-step explanation:
There are 180 degrees in a triangle
90*+41*=131*
180*-131*=49*
Answer:
49
Step-by-step explanation:
You find the x value by first knowing that all angles in a triangle would equal 180. With that information, you add all the sides given to you which would equal 131 then subtract that from 180 to find the missing angle. Which is 49 degrees.
A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?
Answer:
[tex]A = 20,000(0.85)^t[/tex]
Step-by-step explanation:
We will use the formula for compound interest here
where [tex]A = p( 1 + r)^t[/tex]
A=future value for any sum
P=present value of the sum
r= yearly interest rate, it should be expressed in decimal
t=time period , it should be in years
______________________________
given in the problem
p = $20,000
r = 15% (in decimal 15/100 = 0.15)
t is the time for which equation is to be model to find future value p
since, rate is for depreciation we need to take negative value of rate as value for computer will decrease
thus
r = -0.15
using the above values in formula [tex]A = p( 1 + r)^t[/tex]
[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]
Thus, model equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]
Answer asap please i don’t understand
Answer:
11x+2y+21 x = 15
2x+3y+6z = -29
13x+9x+2x =22
Step-by-step explanation:
This is an augmented matrix
It is the coefficients of the variables and the last number is the constant
11x+2y+21 x = 15
2x+3y+6z = -29
13x+9x+2x =22
Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72
Two electricians are assigned to work on a remote control wiring job. One electrician works 8 1/2 hours each day, and the other electrician works 2 1/2 hours each day. If both work for 5 days, how many hours longer does
the first electrician work than the second electrician?
Help will give brainliest
Answer:
C
Step-by-step explanation:
55% is the same thing as 0.55. 0.55(300) equals 165
Hope this helps! Please give brainliest!!
A baby saw a toy and scooted closer, moving 1/3 of a meter in 1/4 of a minute.How fast was the baby moving
Answer:
1 1/3 meter a minute
Step-by-step explanation:
it pretty simple i just added
Answer:
1 1/3
Step-by-step explanation:
How many kilograms are in 76.2 grams? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 0.000762 kilograms 0.00762 kilograms 0.0762 kilograms 0.762 kilograms
Answer:
0.0762 kilograms
Answer:
0.0762 kilograms
Step-by-step explanation:
PLEASE I NEED HELPP !!
The figure below shows a quadrilateral ABCD. Sides AB and DC are equal and parallel
A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram
Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent Side AB is equal to side DC, and DB is the side common to triangles ABD and CDB. Therefore, the triangles ABD and
CDB are congruent by SAS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of vertical angles that are congruent. Therefore, AD is
parallel and equal to BC Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel
Which statement best describes a flaw in the students proof?
O Triangles ABD and BCD are congruent by the SSS postulate instead of the SAS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SAS postulate.
O Angle DBC and angle BDA form a pair of corresponding angles, not a pair of vertical angles
O Angle DBC and angle BDA form a pair of alternate interior angles that are congruent, not a pair of vertical angles
Answer:
Angle DBC and angle BDA form a pair of corresponding angles, not a pair of vertical angles
Step-by-step explanation:
Once it is stated that the triangles ABD and CDB are congruent by SAS postulate, it is concluded that, by CPCTC, angles DBC and BDA are congruent because they are corresponding angles.
Answer:
the person above is correct
Step-by-step explanation:
|4 - 5 + 10| = * what is the value?
Answer:
9
Step-by-step explanation:
|4 - 5 + 10| = |9| = 9
Answer:
* = 9
Step-by-step explanation:
|4 - 5 + 10| = *
| -1 + 10 | = *
| 9 | = *
* = 9
If a one step equation involves addition, which operation do you use to solve it?
Answer: inverse operation
Step-by-step explanation:
Answer:
use the inverse operation that is substraction
A system of linear equations is shown below, where A and B are real numbers. 3x + 4y = A Bx – 6y = 15 What values could A and B be for this system to have no solutions? A = 6, B = –4.5 A = –10, B = –4.5 A = –6, B = –3 A = 10, B = –3
Answer:A=6 B=-4.5
Step-by-step explanation:
We want to find the values of A and B such that the given system of equations has no solutions. We will find that the values of A and B can be:
B = -4.5
A = 6
When a system of equations has no solutions?
A system of linear equations has no solutions when the lines are parallel (so the lines never do intercept).
Here the system is:
3x + 4y = A
Bx – 6y = 15
Remember that two lines are parallel if and only if they have the same slope and different y-intercept, then let's write both equations in the slope-intercept form:
y = A/4 - (3/4)*x
y = -15/6 + (B/6)*x
So we must have:
B/6 = -3/4
A/4 ≠ -15/6
From the first one we get:
B = (-3/4)*6 = -4.5
From the second one we get:
A ≠ (-15/6)*4 = -10
Then from the given pairs, the only one that causes the system to have no solutions is:
B = -4.5
A = 6
If you want to learn more about systems of equations, you can read:
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Which is the graph of the linear inequality y < 3x + 1?
Answer:
Step-by-step explanation:
The graph for the inequality is attached with the answer.
We have a linear inequality -
y < 3x + 1
We have to plot the graph of this linear inequality.
What is an Inequality?An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.
According to the question, we have -
y < 3x + 1
Now, in order to plot the graph for this inequality, let -
y = 3x + 1
Plot the line for the above equation. Remember to plot the graph in the form of dashed line since the inequality is strict inequality.
Consider the point (0, 0) -
Solve the inequality for the point (0, 0), we get -
0 < 3 x 0 + 1
0 < 1
Which is true.
Hence, shade the complete area on that side of line where the point
(0, 0) lies.
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hi can anyone tell me the answer
Answer:
146 units
£31.36
Step-by-step explanation:
First 100 units= 24 p/unit
Remainder= 16 p/unit
Units used:
7143- 6997= 146Cost:
146= 100+4624*100+16*(146-100)= 2400+16*46= 2400+ 736= 3136 p= £31.36A water pipe took 40 minutes to fill 5 swimming pools, how long would it take to fill 3 such swimming pools?
Answer:
24
Step-by-step explanation:
It takes 40 / 5 = 8 minutes to fill one pool so it will take 8 * 3 = 24 minutes to fill 3 pools.
Answer: 24
Step-by-step explanation:
40/5=8
So 8hrs per pool, and there are 3 pools so 8*3=24min
A retail store sells two types of shoes, sneakers, and sandals. The store owner pays $8 for the sneakers and $14 for the sandals. The sneakers can be sold for $10 and the sandals can be sold for $17. The owner of the store estimates that she won't sell more than 200 shoes each month, and doesn't plan to invest more than $2,000 on the inventory of the shoes. Let x= the number of sneakers in stock, and y=the number of sandals in stock. 1) Write an inequality that represents the possible amount of shoes she can purchase each month. 2) Next, write an inequality that represents how many sneakers and sandals she has in stock each month. 3) After graphing the constraints, what are the coordinates of the four vertices? Round your answers to the nearest whole number. 4)Write an equation to show the profit she will make on sneakers and sandals. 5)If she sold the number of sneakers and sandals that could maximize her profit, what would her maximum profit be?
Answer:
(1)[tex]x+y\leq 200[/tex]
[tex]x>0, y> 0[/tex]
(2)[tex]8x+14y\leq 2000[/tex]
(3)From the graph, the coordinates of the four vertices are:
(0,143)(0,0)(133, 67)(200,0)(4)Profit Function: P(x,y)=2x+3y
(5)Maximum profit =$467
Step-by-step explanation:
Let the number of sneakers in stock =x
Let the number of sandals in stock =y
(1)The owner of the store estimates that she won't sell more than 200 shoes each month. Therefore, an inequality that represents the possible amount of shoes she can purchase each month is:
[tex]x+y\leq 200[/tex]
[tex]x>0, y> 0[/tex]
(2)She does not plan to invest more than $2,000 on the inventory of the shoes.
The store owner pays $8 for the sneakers and $14 for the sandals.
Therefore, an inequality that represents how many sneakers and sandals she has in stock each month is:
[tex]8x+14y\leq 2000[/tex]
(3)From the graph, the coordinates of the four vertices are:
(0,143)(0,0)(133, 67)(200,0)(4)The sneakers can be sold for $10 and the sandals can be sold for $17.
Profit on one sneaker =$10-8=$2
Profit on one sandal =$17-14=$3
Profit Function: P(x,y)=2x+3y
(5)
At (0,143), Profit =2x+3y=2(0)+3(143)=$429
At (0,0), Profit =2x+3y=2(0)+3(0)=$0
At (133, 67), Profit =2x+3y=2(133)+3(67)=$467
At (200,0), , Profit =2x+3y=2(200)+3(0)=$400
Her maximum profit will be $467 when she sells 133 sneakers and 67 sandals.
Cities A & B are 5 inches apart on a map. Cities C&D are 4 inches apart. If C & D are 900 miles apart, how many miles apart are cities A and B?
Graph g(x), where f(x) = 4x – 2 and g(x) = f(x + 1).
Answer:
Please see attached image
Step-by-step explanation:
We start by finding the actual algebraic expression for g(x):
g(x) = f(x+1) = 4(x+1) - 2 = 4 x + 4 - 2 = 4 x + 2
Then we plot this function on the x-y plane using two or three pairs solution to the equation, like:
for x = 0 g(x) = 2
for x = 1 g(x) = 6
for x = -1 g(x) = -2
and joining them with a line.