Answer:
divide by 6
6 ( 3x - 7y + 5z )
Select the expressions that are equivalent to 9p + 8p.
A. 17p
B. 2p + 16p
C. p • 17
D. 3p + 13p
A. 17p
Step-by-step explanation:
hope this helps ya :)
Russell surveyed 16 students at his school and found that 4 of them planned to take orchestra as their next elective. If Russell surveys 12 more students, how many of them are probably planning on taking orchestra as an elective, based on past data?
Answer:3
Step-by-step explanation:
The probability that the number of students who take orchestra as an elective is 1/4 and the number of students who joined extra is 4
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that the number of students who take orchestra as an elective be represented as P
Now , the equation will be
The total number of students = 16 students
The number of students who opted for orchestra as elective = 4 students
So , the probability that the number of students who take orchestra as an elective P = number of students who opted for orchestra as elective / total number of students
Substituting the values in the equation , we get
The probability that the number of students who take orchestra as an elective P = 4/16
The probability that the number of students who take orchestra as an elective P = 1/4 = 25 %
Now , when the number of students = 16 + 12 = 28 students
The probability that the number of students who take orchestra as an elective P₁ = ( x + 4 ) / 28
Substituting the values in the equation , we get
1/4 = ( x + 4 ) / 28
Multiply by 28 on both sides of the equation , we get
x + 4 = 7
Subtracting 4 on both sides of the equation , we get
x = 3 students
So , the number of students who will take orchestra from the group of 12 students is 3 students
Hence , the probability is 1/4
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13. Describe the type of solution for the
linear system of equations given below.
(x+4y=7
8y = 14 - 2x
Answer: infinite solutions
Step-by-step explanation:
The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week.
She finds that East Coast group ships an average of 1276 parts and knows the population standard deviation to be 347.
The Midwest group ships an average of 1439 parts and knows the population standard deviation to be 298.
Using a 0.01 level of significance, test if there is a difference in productivity level. What is the test statistic?
(Round to 4 decimal places)
z =
please use excel to solve
Answer:
The test statistic is z = -2.11.
Step-by-step explanation:
Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Group 1: Sample of 35, mean of 1276, standard deviation of 347.
This means that:
[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]
Group 2: Sample of 35, mean of 1439, standard deviation of 298.
This means that:
[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]
Test if there is a difference in productivity level.
At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-163 - 0}{77.3144}[/tex]
[tex]z = -2.11[/tex]
The test statistic is z = -2.11.
help what's 1x1+9x20
Answer:
The answer is 181
Step-by-step explanation:
PEDMAS
1 x 1 + 9 x 20
1 x 1 = 1
1 + 9 x 20
9 x 20= 180
1+180
which equals 181
Answer:
181
Step-by-step explanation:1x1=1 9x20=180+1=181
Thats your answer my fellow brains
a length of 25 meters.cindy cut the string in 4 pieces of equal length.how was each piece
Answer:
6.25 meters
Step-by-step explanation:
25/4 = 6.25
Length of each cut piece is 6.25 m.
What is division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given
A length of 25 meters cut the string in 4 pieces of equal length.
= [tex]\frac{25}{4}[/tex]
= 6.25
Length of each cut piece is 6.25 m.
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NO LINKS!!!! Find each measurement indicated. Round your answer to the nearest tenth. Part 2c
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Answer:
BC = 24.0AC = 26.0m∠B = 73.4°m∠B = 30.0°Step-by-step explanation:
The law of sines tells you the ratio of sides is the same as the ratio of sines of their opposite angles.
This post has 2 kinds of problems.
1) 2 angles and the side between them are given.
2) 2 sides and the angle opposite the longest is given.
For the first type, you need to determine the missing angle (opposite the given side). That comes from the sum of angles of a triangle being 180°. Then you find the remaining sides using the ratio of sines.
For the second type, the angle opposite the shorter side is found using the ratio of sides to find the sine of that angle. Then the third side and third angle can be found using the ratio of sides to find the sine of the angle, and using the ratio of sines to find the missing side.
Straightforward, and tedious. For more than one, I like to use a spreadsheet to crunch the numbers.
_____
1) BC = 24.0
2) AC = 26.0
3) m∠B = 73.4°
4) m∠B = 30.0°
__
In the spreadsheet, the given values are in the first 3 columns. The 4th column is the first one calculated. As indicated above, the angle calculation for problems 1 and 2 uses the sum of angles relation. For problems 1 and 2, this is the angle opposite the given side. The "first side" is the side opposite the "first angle". c = b·sin(C)/sin(B), for example.
For problems 3 and 4, the first unknown angle is the one opposite the "short side", which is the shorter of the given sides. As it happens, this is the side that is asked for in the question. B = arcsin(c·sin(B)/sin(C))
_____
Additional comment
In a spreadsheet, angles are presumed to be in radians for all of the trig functions. We use the DEGREES( ) and RADIANS( ) functions to convert as appropriate.
Select the converse, inverse, and contrapositive of this theorem. If two lines intersect, then the vertical angles formed are equal.
1) If the vertical angles are not equal, then lines do not intersect.
2) If the two lines do not intersect, then the vertical angles are not equal.
3) If the vertical angles are equal, then the two lines intersect.
options: (use one for each statement)
Converse
Inverse
Contrapostive
sentence:-
If two lines intersect, then the vertical angles formed are equal.
p[tex]\bold{\dashrightarrow}[/tex]q1) If the vertical angles are not equal, then lines do not intersect.
it is CONTRAPOSITIVE~q[tex]\bold{\dashrightarrow}[/tex]~p2) If the two lines do not intersect, then the vertical angles are not equal.
it is INVERSE~p[tex]\bold{\dashrightarrow}[/tex]~q3) If the vertical angles are equal, then the two lines intersect.
it is CONVERSEq[tex]\bold{\dashrightarrow}[/tex]p[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
◇[tex] sentence:-[/tex]
If two lines intersect, then the vertical angles formed are equal.
1) If the vertical angles are not equal, then lines do not intersect.
◇[tex]\sf{it is CONTRAPOSITIVE}[/tex]
2) If the two lines do not intersect, then the vertical angles are not equal.
◇[tex]\sf{it is INVERSE}[/tex]
3) If the vertical angles are equal, then the two lines intersect.
◇[tex]\sf{it is CONVERSE}[/tex]
Find the midpoint of the segment with the following endpoints
(-8, 9) and (0, 1)
Answer:
(-4,5)
x-midpoint -4
y-midpoint 5
Step-by-step explanation:
M=x1+x2/2 ,y1+y2/2
M=-8+0/2 , 9+1/2
M=-8/2,10/2
M=-4,5
x-midpoint -4
y-midpoint 5
Which graph represents the equation y=-
--*x+3?
B)
t
Answer:
The correct answer would be the 3rd graph!
Hope this helps!
I'm a bit confused about this, can anyone help? Giving 69 points to whoever answers by 12:30 PM (PST)!!
Find the area of the polygon:
Answer: i can give you tips of how to find the area of a polygon.
OK SO To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.
Step-by-step explanation:
And you have to add all the sides of the lengths of the sum of the polygon
evan is sending a package of some of his produce to his friend in California. The package measures 12 by 9 by 6 inches. He wraps it in brown paper, addresses it, and takes it to the post office to mail. How much brown paper will he need to wrap the box ____in2
Answer:
[tex]468in^{2}[/tex]
Step-by-step explanation:
L=12
W=9
H=6
2lw+2lh+2wh=468
Many think ts, "oh LWH" well actually lwh is volume
The brown paper required to wrap the package is 468 square inches.
What is a cuboid?A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.
For the given situation,
The diagram shows the package that is cuboid in shape.
The dimensions of cuboid are
The length of the cuboid = 12 in
The wide of the cuboid = 9 in
The height of the cuboid = 6 in
The package is wrapped using the brown paper. The brown paper needed can be calculated by using the surface area formula,
[tex]A=2(lw+hl+hw)[/tex]
⇒ [tex]A=2[(12)(9)+(6)(12)+(6)(9)][/tex]
⇒ [tex]A=2[108+72+54][/tex]
⇒ [tex]A=2[234][/tex]
⇒ [tex]A=468[/tex]
Hence we can conclude that the brown paper required to wrap the package is 468 square inches.
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Which statement is true for the values of Pand Q on this number line? + Q + -2 1 -4 -3 0 1 A 응 4 B. PxQ5 C P+Q> -4 D P - Qo
what is matter and it function
Answer:
In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.
Step-by-step explanation:
In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.
lemme explain, im a middle schooler and my school just jumped into this with no explanation.
Answer:
the first question is c
Step-by-step explanation:
2 x pi x the radius
2 x 3.14 x 8
Indiana now has 8 different area codes. How many different phone numbers are available within Indiana if the numbers can repeat? Remember that phone numbers have an area code followed by 7 digits.
Answer:
Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.
Step-by-step explanation:
:D
Initially Sam receives $40 and every year she receives a deposit that increases the amount by $20 from
the previous year. Find the total amount deposited by her 18th birthday.
Answer:
1080
Step-by-step explanation:
Question 6
2 pts
Charlotte invested $100 per year into a business for 3 years. The total value of her
investment after 3 years is represented by the algebraic expression below, where x is the
growth in value each year.
100 (x3 + x2 + x)
What is the total value of her investment when x = 2?
O $6400
O $1200
O $600
O $1400
Find the length of missing side BC and AC.
Best answer gets brainliest!!!
Answer:
b = 7.56
C = 9.24
Step-by-step explanation:
Find the last angle of the triangle.
The sum of all the angles in a triangle is
180 degrees.
A+
90+55=180
A=35
Then find c
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(B)=adj/hyp or Cos(55) = 5.3 / c
re write as
C = 5.3 / cos55
This gives you c = 9.24
Then use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} = c^{2} \\rewrite as\\ b^{2} = c^{2} - a^{2} \\b^{2} = 9.2^{2} - 5.3^{2} \\b^{2} = 57.29\\b = 7.56[/tex]
Find the product of
(−9−11i) and its conjugate.
Answer:
202
Step-by-step explanation:
First, we can find the conjugate of (-9 -11i)
Given a complex number a + bi, the conjugate would be a - bi.
So, the conjugate of -9 -11i is -9 + 11i.
Now, we multiply!
(-9-11i)(-9+11i)
This resembles the special product (a+b)(a-b) which multiplies out to a^2 - b^2
To apply this we subtract the square of the second number from the first.
(-9)^2 - (11i)^2
81 - 121i^2
i^2 is -1, so we can substitute it in:
81 + 121 = 202
The population of Nowhere, USA was estimated to be 665,200 in 2004, with an expected increase of 1.9 % per year. At the percent of increase
given what was the expected population in 2005? Round your answer to the nearest whole number.
Answer:
677838 people
Step-by-step explanation:
1.9 percent of 665200 is 12638
665200+12638=677838
Accounting
A company borrowed $68000 on September 1st, 2020. Principle and interest at 12% will be paid on August 31, No accrual was made for interest in 2020. What is the adjustment for interest.
Answer: $2,720
Step-by-step explanation:
Assuming the payment will be done in 2021 on August 31, that means that the loan period is a year.
In this case, the interest should be apportioned per month. There are four months in 2020 that the loan was active for so these months should have an adjustment for interest:
Total interest = 12% * 68,000
= $8,160
Monthly rate is:
= 8,160 / 12 months
= $680
There are 4 months in 2020 so the interest for 2020 is:
= 680 * 4
= $2,720
Two angles are complementary. One has a measure of 25 degrees. What is the measure of the other angle
90 degrees
65 degrees
25 degrees
155 degrees
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Answer:
(b) 65 degrees
Step-by-step explanation:
When angles are complementary, their total is 90°. The measure of the other angle is ...
90° -25° = 65° . . . . . the measure of the other angle
Q8. How many solutions does the system of equations have?
Answer:
it would be the first answer
Step-by-step explanation:
a solution is where the lines meet, and the coorinate is (1,4)
What is the value of x in the solution to this system of equations?
5x+2y=67x=3y−7
Answer:
x=4/29, y=77/29
Step-by-step explanation:
What is the length of AC?
A sample of 300 subscribers to a particular magazine is selected from a population frame of 9,000 subscribers. If, upon examining the data, it is determined that no subscriber had been selected in the sample more than once:________.
A. the sample could not have been random
B. the sample may have been selected without replacement or with replacement
C. the sample had to have been selected without replacement
D. the sample had to have been selected with replacement
Answer:
C
Step-by-step explanation:
It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.
What is the sample?A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.
If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.
Therefore, the correct answer is C. the sample had to have been selected without replacement.
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Write the algebraic expression: 4p times the sum of 7 and 5p
Answer:
4p(7 + 5p)
Step-by-step explanation:
4p times the sum of 7 and 5p
4p(7 + 5p)
Find the zeros of the function y=x(x+2)(x-4)
Answer:
first x= -2
second x= 2
third x= 4
A box, containing 25 bolts and 25 washers, has a mass of 475 g. Another box, containing 17 bolts and 34 washers, has a mass of 442 g. Determine the mass of one bolt and the mass of one washer
Answer:
bolts=12g and washers=7 g
Step-by-step explanation:
honestly, i tried to solve this by hand and made an error somewhere, but i set up two equations, then tried to use elimintation to solve for one variable. but in the end i went to my trusty calculator and created a matrix, then used the rref math to solve. sorry i couldnt be of more help