Which of the following is a monomial?
A. 8x^2 +7x+3
B. √x-1
C. 9/x
D. 7x
Answer:
7x is monomial according to question.
Calculate the range and the standard deviation for the set of numbers.
6,5, 1, 5, 8, 5, 3, 5, 4,7
The range is
(Simplify your answer.)
Can I please get help with this problem?
Answer:
When time is short and you just want a rough estimate of the standard deviation, turn to the range rule to quickly estimate the standard deviation value. The standard deviation is approximately equal to the range of the data divided by 4. That's it, simple.
if x+y=2 and x=4 then x+2y
If the mean of a given dataset is
42 and the standard deviation is
4, where will a majority of the
data lie?
Answer:
A majority of the data will lie between 38 and 46.
Step-by-step explanation:
It can be said that a majority of the data of a distribution lies within 1 standard deviation of the mean.
In this question:
Mean of 42, standard deviation of 4.
42 - 4 = 38
42 + 4 = 46
A majority of the data will lie between 38 and 46.
Mariah owed her grandfather 52.25 but was recently able to pay him back $1.50. How much does Mariah currently
owe her grandfather?
Answer:
52.25 - 1.50 = 50.75
Step-by-step explanation:
I'd recommend using a calculator or pencil and paper
53.25
- 1.50
--------
50.75
During a particularly dry growing season in a southern state, farmers noticed that there is a delicate balance between the number of seeds that are planted per square foot and the yield of the crop in pounds per square foot. The yields were the smallest when the number of seeds per square foot was either very small or very large.
What is the explanatory variable for this relationship?
yield of the crop
location of the farm
precipitation for the growing season
number of seeds planted per square foot
I think it's (D).
number of seeds planted per sf
Answer:
The guy above me is correct
Step-by-step explanation:
2022
Answer:
number of seeds planted per square foot
Step-by-step explanation:
response is the yield explained by how many seeds are planted
terms are there. Divide 51 into three parts in AP so that the largest exceeds the smallest by 10.
The first three terms of the Arithmetic Progression are 12, 17 and 22.
For an ARITHMETIC PROGRESSION, AP ;
First term = a
Second term = a + d
Third term = a + 2d
Where, d = common difference ;
If third term exceeds smallest by 10 ;
Third term - first term
a + 2d - a = 10
2d = 10
d = 10/2
d = 5
Sum of the three terms :
a + (a + d) + a + 2d = 51
3a + 3d = 51
d = 5
3a + 3(5) = 51
3a + 15 = 51
3a = 51 - 15
3a = 36
a = 12
The AP would be:
First term, a = 12
Second term, a + d = 12 + 5 = 17
Third term = a + 2(d) = 12 + 10 = 22
Therefore , the first three terms of the AP are :
12, 17 and 22
Learn more about ARITHMETIC PROGRESSION :
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During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emissions of 667 pounds per 1000 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 679 pounds per 1000 miles with a standard deviation of 15 pounds. At α = 0.05, in a left-tailed test (assuming equal variances) the test statistic is:______.
A. 1.321.
B. -2.508.
C. -2.074.
D. -1.717.
Answer:
-1.683
Step-by-step explanation:
Given :
Group 1 :
x1 = 667 ; n1 = 10 ; s1 = 20
Group 2 :
x2 = 679 ; n2 = 14 ; s2 = 15
The test statistic assuming equal variance :
x1 - x2 / √[Sp² * (1/n1 + 1/n2)]
sp² = [(n1 - 1)*s1² + (n2 - 1)*s2²] ÷ (n1 + n2 - 2)
Sp² = [(10 - 1)*20² + (14 - 1)*15²] = 296.59
Test statistic =
(667 - 679)/ √[296.59 * (1/10 + 1/14)]
-12 / 7.1304978
Test statistic = - 1.682
Find the product:
1 -1 2
12 1 0] -1 -2 1 [a b c
0 1 1
a
12
b=0
Answer:
[tex][1, -4 ,5][/tex]
Step-by-step explanation:
In this question we are multiplying together two matrices. When we multiply a (1 x 3) matrix with a (3 x 3) matrix, we get a (1 x 3) matrix.
To compute each value, all you need to do is take the each value in each row in the first matrix, and multiply it by each value in each column of the second matrix and add up the result. So let's do that.
[tex]a = (2 * 1) + (1 * -1) + (0 * 0) = 2 - 1 + 0 = 1[/tex]
[tex]b = (2 * -1) + (1 * -2) + (0 * 1) = -2 -2 = -4[/tex]
[tex]c = (2 * 2) + (1 * 1) + (0 * 1) = 4 + 1 + 0 = 5[/tex]
Find the square root of (2-36i)/(2+3i)
Answer:
[tex]-8-6i[/tex]
Step-by-step explanation:
[tex]\frac{2-36i}{2+3i} * \frac{2-3 i}{2-3i}[/tex]
-104-78i /13
-8-6i
The square root of (2-36i)/(2+3i) is √(112-66i)/13.
The given expression is [tex]\frac{2-36i}{2+3i}[/tex].
What is the square root?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
Multiply both numerator and denominator by 2-3i.
Now, [tex]\frac{2-36i}{2+3i}\times\frac{2-3i}{2-3i}[/tex]
= [tex]\frac{(2-36i)(2-3i)}{(2+3i)(2-3i)}[/tex]
= [tex]\frac{(4-72i+6i-108i^2)}{4-9i^2}[/tex]
= [tex]\frac{(4-66i+108)}{4+9}[/tex]
= [tex]\frac{(112-66i)}{13}[/tex]
Now square root is √(112-66i)/13
Therefore, the square root of (2-36i)/(2+3i) is √(112-66i)/13.
To learn more about the square root of a number visit:
https://brainly.com/question/8971086.
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Mr. Rowley has 16 homework papers and 14 exit tickets to return. Ms. Rivera has 64 homework papers and 60 exit tickets to retum. For each teacher, write a ratio to represent the number of homework papers to number of exit tickets they have to return. Are the ratios equivalent? Explain.
Answer:
Mr. Rowley=16:14
=8:7
Ms.Rivera= 64:60
=16:15
What is the probability of throwing a total score of 10 or less with two dice?
hope it helps
please mark Brainliest
how to find the dot product of 1×3 vectors
Answer:
Since we know the dot product of unit vectors, we can simplify the dot product formula to a⋅b=a1b1+a2b2+a3b3. we can use the same formula, but with a3=b3=0, a⋅b=a1b1+a2b2.
Step-by-step explanation:
hope it will help uplease mark me brillientThere is a pile of 55 coins consisting of nickels and dimes worth $3.90. Find the number of each if you say that the nickels are x.
Answer:
There are 32 nickels and 23 dimes.
Step-by-step explanation:
Lets say x is nickels and y is dimes
The first equation would be 55 = x + y
The second equation would be .05x + .10y = 3.90
The Solving Part:
Move y to the other side: x = 55 - y
Substitute x in the second equation: .05(55-y) + .10y = 3.90
Distribute, rearrange, and combine like terms: .05y = 1.15
Solve for y: Y = 23
Plug in 23 for y and solve: 55 - y = x ; 55 - 23 = x ; 55 - 23 = 32
x = 32
y = 23
32 nickels and 23 dimes
Answer:
There are 32 nickels and 23 dimes.
Step-by-step explanation:
Yay :) we solved the problem together :)))))
I need you guy’s help answer thanks so much
Answer:C
Step-by-step explanation:
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.
HEYYYYYYYYYYYYYYY
PLEASE HELP AND BE CORRECT ANSWER AT THE BOTTOM
TELL ME WHERE TO PUT THE POINTS
Answer:
y = -3 (you have to draw an horizontal line that passes for the point (0,-3)
Step-by-step explanation:
We have to find the middle points of the segments that unite the corrispettive points.
We are lucky because the images of the points have the same x coordinate of the original ones, so we have just to find the y coordinates.
Segment CC‘
(y1 + y2)/2 = (-1-5)/2 = -3
Segment AA’
(0-6)/2 = -3
Segmet BB’
(1-7)/2 = -3
Segment DD’
(1-7)/2 = -3
In conclusion we can say that the points of the reflection have all the y coordinate equal to -3.
the line is horizontal and its equation is : y = -3
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:
Determine the value of k so that the following system has an infinite number of solutions
10x+ky= -8
-15x-6y= 12
Please help.
Answer:
k=4
Step-by-step explanation:
remove x:
10x.(-3) + ky.(-3)=-8.(-3) (1)
-15x.2 - 6y.2 = 12.2 (2)
(1) - (2) => -3ky+12y = 0
<=> (12-3k)y = 0
so that y has infinitely many solutions then
12-3k = 0 => k=4
8 rational numbers between 3 and 4
Answer:
31/10,32/10,33/10,34/10,35/10
Step-by-step explanation:
a rational number is formed when any two integers p and q are expressed in the form of p/q
to find two two sets of rational numbers BETWEEN any two numbers
a and b we need to express a and b and rational numbers....let us express 3and4 as rational numbers 3=30/10 4=40/10
the list of rational numbers between 3and4,that is, 30/10,31/10,32/10,33/10,34/10,35/10,36/10,37/10,38/10,39/10,40/10.
therefore the five rational numbers between 3 and 4 are (31/10,32/10,33/10,34/10,35/10...
I hope that helps
4. The rectangle shown below has been broken into four smaller rectangles. The area of three of the smaller
rectangles are shown in the diagram. Find the area of the fourth rectangle and justify your answer. [Think about
shared dimensions.]
Answer:
Step-by-step explanation:
Need the diagram for reference in order to answer...........
if x, y, and z are positive integers and 2^x * 3^y * 5^z = 54,000, what is the value of x + y + z
Given:
If x, y, and z are positive integers, then
[tex]2^x\times 3^y\times 5^z=54000[/tex]
To find:
The value of [tex]x+y+z[/tex].
Solution:
First we need to find the prime factors of 54000.
[tex]54000=2\times 2\times 2\times 2\times 3\times 3\times 3\times 5\times 5\times 5[/tex]
[tex]54000=2^4\times 3^3\times 5^3[/tex] ...(i)
We have,
[tex]54000=2^x\times 3^y\times 5^z[/tex] ...(ii)
On comparing (i) and (ii), we get [tex]x=4,y=3,z=3[/tex].
The sum of [tex]x,y,z[/tex] is:
[tex]x+y+z=4+3+3[/tex]
[tex]x+y+z=10[/tex]
Therefore, the value of [tex]x+y+z[/tex] is 10.
Below is the justification for the formula for area of a circle. Which word, when placed in the blank, best completes this argument?
Answer:
B half the circumference or pi r
Step-by-step explanation:
The base of the parallelogram is pi r
To form the parallelogram the triangles are removed from the bottom half of the circle and moved to flip the gaps in the top half.
I need help completing this problem ASAP
Answer:
D. [tex]3x\sqrt{2x}[/tex]
Step-by-step explanation:
The problem gives on the following equation:
[tex]\sqrt{32x^3}+-\sqrt{16x^3}+4\sqrt{x^3}-2\sqrt{x^3}[/tex]
Alongside the information that ([tex]x\geq0[/tex]).
One must bear in mind that the operation ([tex]\sqrt[/tex]) indicates that one has to find the number that when multiplied by itself will yield the number underneath the radical. The easiest way to find such a number is to factor the term underneath the radical. Rewrite the terms under the radical as the product of prime numbers,
[tex]\sqrt{2*2*2*2*2*x*x*x}-\sqrt{2*2*2*2*x*x*x}+4\sqrt{x*x*x}-\sqrt{2*x*x*x}[/tex]
Now remove the duplicate factors from underneath the radical,
[tex]2*2*x\sqrt{2x}-2*2*x\sqrt{x}+4x\sqrt{x}-2x\sqrt{x}[/tex]
Simplify,
[tex]4x\sqrt{2x}-4x\sqrt{x}+4x\sqrt{x}-x\sqrt{2x}[/tex]
[tex]3x\sqrt{2x}[/tex]
what is the value of 3n +1 when n =4
Answer:
13
Step-by-step explanation:
since n is 4 substitute it where there's n in the equation
3(4)+1
12+1
13
I hope this helps
Answer:
13
Step-by-step explanation:
so you start with the equation 3n+1
since you know n=4 then u put it in place of n making the equation 3*4+1
then you multiply and it's 12+1 which equals 13
find the area of the triangle
Answer:
75.03
Step-by-step explanation:
14×11×sin(77)
= 75.02649499..
≈ 75.03 (rounded to nearest hundredth)
Answered by GAUTHMATH
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 2323 Pennies 55 Dimes 2020 Nickels 1919 Quarters Copy Data What is the probability that you reach into the jar and randomly grab a dime and then, without replacement, a nickel
Answer:
The answer is "0.081"
Step-by-step explanation:
Dimes [tex]= 55[/tex]
Calculating total coins [tex]= (23+55+20+19) = 117[/tex]
P(for a dime) [tex]= \frac{55}{117}[/tex]
Calculating remaining coins [tex]= 116[/tex]
Nickels [tex]= 20[/tex]
P(for nickel draw in second) [tex]= \frac{20}{116}[/tex]
P(for a dime after that a nickel, without replacement)
[tex]= \frac{55}{117} \times \frac{20}{116} \\\\= \frac{1100}{13572} \\\\=0.081[/tex]
Determine the quadrant in which the terminal side of the given angle lies.
115°
Answer:
Quadrant 2
Step-by-step explanation:
Given
[tex]\theta = 115^o[/tex]
Required
The quadrant
We have:
[tex]0^o < \theta < 90^o[/tex] --- quadrant 1
[tex]90^o < \theta < 180^o[/tex] --- quadrant 2
[tex]180^o < \theta < 270^o[/tex] --- quadrant 3
[tex]270^o < \theta < 360^o[/tex] --- quadrant 4
So, by comparison; we have:
[tex]90^o < \theta < 180^o[/tex]
Substitute 115 for [tex]\theta[/tex]
[tex]90^o < 115 < 180^o[/tex]
The above is true for quadrant 2
use the elimination method to slove the system of equations.choose the correct ordered pair.6x+2y=8 12x+y=22
Answer: use photo. math
Step-by-step explanation:
boom
A manufacturer claims that its drug test will detect steroid use (that is, show positive for an athlete who uses steroids) 95% of the time. Further, 15% of all steroid-free individuals also test positive. 10% of the rugby team members use steroids. Your friend on the rugby team has just tested positive. The correct probability tree looks like
Answer:
The probability tree is;
0.95 [tex](+)[/tex]
[tex](S)[/tex]
0.1 0.05 [tex](-)[/tex]
[ P ]
0.9 0.15 [tex](+)[/tex]
[tex](S_{no})[/tex]
0.85 [tex](-)[/tex]
Step-by-step explanation:
Given the data in the question;
10% of the rugby team members use steroids
so Probability of using steroid; P( use steroid ) = 10% = 0.10
Probability of not using steroid; P( no steroid use ) = 1 - 0.10 = 0.90
Since the test show positive for an athlete who uses steroids, 95% of the time.
Probability of using steroids and testing positive = 95% = 0.95
Probability of using steroids and testing Negative = 1 - 0.95 = 0.05
Also from the test, 15% of all steroid-free individuals also test positive.
so
Probability of not using steroids and testing positive = 15% = 0.15
Probability of not using steroids and testing negative = 1 - 0.15 = 0.85
To set up the probability tree, Let;
[tex](S)[/tex] represent steroid use
[tex](S_{no})[/tex] represent no steroid use
[tex](+)[/tex] represent test positive
[tex](-)[/tex] represent test negative
so we have;
0.95 [tex](+)[/tex]
[tex](S)[/tex]
0.1 0.05 [tex](-)[/tex]
[ P ]
0.9 0.15 [tex](+)[/tex]
[tex](S_{no})[/tex]
0.85 [tex](-)[/tex]
