Step-by-step explanation & answer:
Conjugate = 5+3i
Multiply fraction by conjugate:
(15+9i+10i+6i^2) / (25-9i^2)
Simplify:
(15+19i+6i^2) / (25-9i^2)
i^2 is -1:
(15+19i-6) / (25+9)
So:
9+19i / 34
Into a +bi form:
9/34 + 19i/34
Part 1: Solve for the slope of the line inside of the scatter plot
Answer:
The slope is equal to 5.
Step-by-step explanation:
Point 1 (0, 5)
Point 2 (3, 20)
m=y2-y1/x2-x1
m=5-20/0-3
m=-15/-3=
m=5
identify the 3D shape
Answer and Step-by-step explanation:
The 3D shape shown is a rectangle. This is the net-form of a rectangle.
#teamtrees #PAW (Plant And Water)
Answer:
rectangular prism
Step-by-step explanation:
a rectangle is not 3d. a rectangle is 2d. the correct answer is a rectangular prism.
if a binomial trial has a success of .3, how many successes would you expect out of 500 trails
Answer:
gfs
Step-by-step explanation:
Is 4 over 5 equals 48 over 60 a true proportion?
Answer:
0.8 you yes both of them has the same answer , so it is a true portion
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
[tex]\frac{4}{5} =\frac{48}{60}[/tex]
This is a true proportion because when you cross multiply you get the same product.
[tex]48*5=240[/tex]
[tex]4*60=240[/tex]
7/7q+21= x /5q^2-45 then x=?
Answer:
x = 5q - 15
Step-by-step explanation:
[tex]\frac{7}{7q+21}=\frac{x}{5q^{2}-45}\\\\\frac{7}{7(q+3)}=\frac{x}{5 (q^{2} -9)}\\\\frac{1}{q+3}=\frac{x}{5*(q^{2}-3^{2})}\\\\\frac{1}{q+3}=\frac{x}{5(q+3)(q-3)}\\\\\frac{1}{q+3}*5*(q+3)(q-3)=x\\\\5(q-3)=x\\\\x= 5q-15[/tex]
In the figure, ∆ALM ≅ ∆BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?
Answer:
C. L LAM = L LBM
Step-by-step explanation:
__________
a cylindrical barrel (drum) contains 42 gallons of oil. the diameter of this barrel is 18 inches
determine the radius of a barrel (drum) in centimetre.
Answer: 1.345714286
Step-by-step explanation:
This is the full answer, if you want to round it up. Then your welcome to do so.
Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100 private practice doctors and 150 hospital doctors are selected at random and asked about the number of hours a week they work. You may use technology to compute your answers. 20–30 30–40 40–50 50–60 Total Private Practice 16 40 38 94 Hospital 8 44 59 111 Total 24 84 97 205
Answer:
1. The correct option is:
B. H0: The distribution of working hours for private practice doctors is the same as the distribution of working hours for hospital doctors.
Ha: The distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.
2. The test statistic is -0.97.
3. The correct option is E. We fail to reject the null hypothesis. There is not enough evidence to show that the distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.
Step-by-step explanation:
Note: This question is not complete and it contains some inconsistency errors in thee data. The correct complete question is therefore provided before answering the question. See the attached pdf for the correct complete question.
The explanation of the answer is now provided as follows:
1. State the null and alternative hypotheses.
Since we are trying to examine whether private practice doctors and hospital doctors have the same distribution of working hours, this implies that the correct option is:
B. H0: The distribution of working hours for private practice doctors is the same as the distribution of working hours for hospital doctors.
Ha: The distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.
2. What is the test statistic?
Note: See the attached excel file for the calculation of total of (f1 * x), total of (f2 * x), total of (f1 * x^2) and total of (f2 * x^2).
From the attached excel file, we have:
N2 = Total of f2 = Sample size of Hospital = 150
M1 = Mean of Private-Practice = Total of (f1 * x) / N1 = 38.40
M2 = Mean of Hospital = Total of (f2 * x) / N2 = 43.60
S1^2 = Variance of Private-Practice = Total of (f1 * x^2) / N1 = 1,541.00
S2^2 = Variance of Hospital = Total of (f2 * x^2) / N2 = 1,975.67
Therefore, we have:
t = (M1 - M2) / ((S1^2 / N1) + (S2^2 / N2))^0.5 = (38.40 - 43.60) / ((1,541 / 100) + (1,975.67 / 150))^0.5 = -0.97
Therefore, the test statistic is -0.97.
3. What can you conclude at the 5% significance level?
At 5% significance level, the test statistic from the Z distribution table known as t-tab is 1.96.
Since our calculated test statistic is -0.9727 is less than 1.96, this implies that we fail to reject the null hypothesis (H0).
Again, since we are trying to examine whether private practice doctors and hospital doctors have the same distribution of working hours, this implies that the correct option is E. We fail to reject the null hypothesis. There is not enough evidence to show that the distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.
I don’t really understand these
Answer:
its answer is 3rd part
ABC-FED
Hey buddy I am here to help!
angle ABC = angle FED
Hope this answer helps!
Plz mark me brainliest!
Which of the following statement is incorrect? .
a.Closure property is true for subtraction of Rational numbers
b.Commutative property is true for subtraction of Rational numbers
c.Closure property is true for addition of Rational numbers
d.Closure property is true for multiplication of Rational numbers
If you answer the question I will follow you
answer fast
Answer:
b.Commutative property is true for subtraction of Rational numbers
Step-by-step explanation:
Option B is the correct answer as it is the incorrect statment in the given options.Question 10 (1 point) Find the volume of the figure. 2.5 ft 3 ft 2 ft 6 ft. What is the volume of the figure?
Answer:
I don’t know what type of figure you are talking about. But if there is supposed to be a picture attached, we see nothing
Step-by-step explanation:
You could repost this question though, I’ll be glad to help on that other question!
Evaluate the given equation for the indicated function values. pls help
Answer:
The answer in each numeral is:
f(4) = 28f(10) = -19f(-5) = -33f(9) = -9Step-by-step explanation:
To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:
1. f(n) = 5n + 8 f(4) = ?As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:
1. f(4) = 5*(4) + 8f(4) = 20 + 8f(4) = 28The first answer is 28, now we'll continue with the next exercises:
2. f(n) = -2n + 1f(10) = -2*(10) + 1f(10) = -20 + 1f(10) = -193. f(n) = 6n - 3f(-5) = 6*(-5) - 3f(-5) = -30 - 3f(-5) = -334. f(n) = -nf(9) = -9In this form, you can prove the answers are: 28, -19, -33, and -9 respectively.
100 Brainly points!! Need help ASAP :)
In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B’. What is the scale factor of dilation?
A. 1
B. 2
C. 0.5
D. -0.5
Answer:
B
Step-by-step explanation:
I'm not really shure tho
Answer:
D. -0.5
Step-by-step explanation:
AB dilated by scale factor -0.5 to produce AB'.
the length of AB = 4 units and the length of AB' = 2 units, the direction is backward, so the scale factor is - 2/4 = -0.5
hat is TR(N)* 2 calculated?
20. What is the next term in the following sequence:
Please hurry
9514 1404 393
Answer:
(a) -1215/32
Step-by-step explanation:
The sequence is apparently geometric. The common ratio is ...
(-135/2)/90 = -135/180 = -3/4
Then the next term is ...
(405/8)(-3/4) = -1215/32
Answer:
abcdefg omlllfffg
Step-by-step explanation:
The equation represents the total resistance, r, when two resistors
whose resistances are r1 and r2 are connected in parallel. Find the total
resistance when r1 is x and r2 is x + 1.
Answer:
[tex]R = \frac{x(x+1)}{2x+1}[/tex] --- total resistance
Step-by-step explanation:
Given
[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]
Required
Find R when
[tex]R_1 = x[/tex]
[tex]R_2 = x+1[/tex]
So, we have:
[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]
Substitute values for both R's
[tex]\frac{1}{R} = \frac{1}{x} + \frac{1}{x+1}[/tex]
Take LCM
[tex]\frac{1}{R} = \frac{x+1+x}{x(x+1)}[/tex]
Collect like terms
[tex]\frac{1}{R} = \frac{x+x+1}{x(x+1)}[/tex]
[tex]\frac{1}{R} = \frac{2x+1}{x(x+1)}[/tex]
Inverse both sides
[tex]R = \frac{x(x+1)}{2x+1}[/tex]
7.5 7 2/5 7.69 in order
Answer:
ok for this problem lets convert all of the number into decimals to make it easier.
7.5 is already a decimal
7 2/5 as a decimal is 7.4
7.69() is already a decimal
ok so 7.4 is lowest
7.5 is next
7.69 is highest
Answer:
In order from least to greatest is [tex]7\frac{2}{5},7.5,7.69[/tex]
Step-by-step explanation:
In order from greatest to least is the other way around
[tex]2/5 = 0.4[/tex]
So [tex]7.4[/tex]
Hope this is helpful
Hello, I need help with this math question please
Option B:- x = -3/2 or x = 2
Helppppppp
Which choice is equivalent to the product below
Step-by-step explanation:
jkkkkkkkkkkkkkkkkkkkkk
Answer:
[tex]2 \sqrt{35} [/tex]
please help me please help me please help me please help me please help me please help me please
Answer:
q5 is 4
q6 is 72
Step-by-step explanation:
yan na po ..sana maktulong sau
ANYONE KNOW THE ANSWER????
9514 1404 393
Answer:
(c) x = 10
Step-by-step explanation:
The diagonals of a square cross at right angles, so the measure of angle KNJ is 90°.
90 = 10x -10
100 = 10x . . . . . add 10
10 = x . . . . . . . . divide by 10
The value of x is 10.
What is 15 5/7 - 6 4/5
Answer:
8.9
Step-by-step explanation:
15.71428571-6.8=8.914285714
We round of to one significant figure because its addition n the lowest is 6.8
Answer:
[tex]8\frac{32}{35}[/tex]
Step-by-step explanation:
MATH PROBLEM 20 POINTS
An electrician needs 4 7/10 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 9 2/5 rolls of wire?
Answer:
2 rooms
Step-by-step explanation:
Let; 4 7/10 = 47/10
9 2/5=47/5
So; if each room(1) = 47/10
47/5 should be x rooms
Equation form47/10 = 1
47/5 = x
cross multiplying
47/10x = 47/5
L.C.M = 10
10×47/10x = 10× 47/5
47x = 47 × 2
x = 47 × 2/47
x = 2
Therefore x being 9 2/5 rolls of wire will wire 2 rooms
12y^2+12y-3y^3 = 124-(y+5)
Answer:
[tex]{ \tt{12 {y}^{2} + 12y - 3 {y}^{3} = 124 - (y + 5)}} \\ 3 {y}^{3} - 12 {y}^{2} - 12y = - 124 + (y + 5) \\ {3y}^{3} - 12 {y}^{2} - 12y = - 124 + y + 5 \\ { \tt{3 {y}^{3} - {12y}^{2} - 11y + 119 = 0 }}[/tex]
Helpppppppp thank u so much
Answer:
acute triangle
Step-by-step explanation:
First find the other angle
The sum of the angles is 180
x+65+60 = 180
x + 125 = 180
x = 180-125
x = 55
All three angles are different so all three side lengths are different
All the angles are less than 90 so all the angles are acute
This is an acute scalene triangle
Answer:
im is 55 so the only correct option is c
Step-by-step explanation:
hope this helps! have a great day!!
The Coffee Counter charges $8.00 per pound for Kenyan French Roast coffee and $10.00 per pound for Sumatran coffee. How much of each type should be used to make an 18 pound blend that sells for $9.00 per pound?
The Coffee Counter should mix ___ pounds of Kenyan Roast coffee and ___ pounds of Sumatran coffee to make 18 pounds of a blend that sells for $9.00 per pound.
Answer:
x = 9
y = 9
Step-by-step explanation:
Given :
Let :
Kenyan French roast coffee = x
Cost per x = $8
Sumatran Coffee = y
Cost per y = $10
x + y = 18 - - - - (1)
8x + 10y = 9 * 18 ;
8x + 10y = 162 - - - - (2)
From (1):
x = 18 - y
Put x = 18 - y in (2)
8(18 - y) + 10y = 162
144 - 8y + 10y = 162
2y = 162 - 144
2y = 18
y = 9
x = 18 - y
x = 18 - 9
x = 9
o perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either one, two, or three steps. The second procedure requires either one or two steps. Answer the first and second questions using this information.List the experimental outcomes associated with performing the blood analysis. (Hint: The first procedure has three possible outcomes (steps needed), the second procedure has two possible outcomes (steps needed)).(1), (2), (3), (1,1), (2,1), (3,1), (1,2), (2,2), (3,2), (1,3), (2,3), (3,3)(1), (2), (3), (1,1), (2,1), (3,1), (1,2), (2,2), (3,2)(1,1), (2,1), (3,1), (1,2), (2,2), (3,2), (1,3), (2,3), (3,3)(1,1), (2,1), (3,1), (1,2), (2,2), (3,2)
Answer:
11, 12, 13, 21, 22 and 23
Step-by-step explanation:
Given
[tex]Procedures = 2[/tex]
[tex]1 \to[/tex] Step 1
[tex]2 \to[/tex] Step 2
[tex]3 \to[/tex] Step 3
Required
List all possible experimental outcomes
From the question, we understand that:
[tex]Procedure\ 1 = 3\ steps[/tex]
[tex]Procedure\ 2 = 2\ steps[/tex]
So, the total possible steps (n) are:
[tex]n=Procedure\ 1 * Procedure\ 2[/tex]
[tex]n = 3 * 2[/tex]
[tex]n = 6\ steps[/tex]
Such that the 2nd steps cannot take the value of 3.
So, the outcomes are: 11, 12, 13, 21, 22 and 23
What side is the shortest in the picture?
A. GF
B. DG
C. EF
D. GE
F. DE
Answer:
A. GF
Step-by-step explanation:
The shortest side in a triangle is opposite the smallest angle
<d = 180 -52 -61 =67
The smallest angle is 52 so the smallest side is DG
<f = 180 - 48-85 =50
The smallest angle is 48 so the smallest side is FG
The smallest angle is 48 so the smallest side overall is FG (GF)
How many dimensions does a plane have?
O
A. Three
о
B. Zero
O C. Two
D. One
A Plane does not have one dimensions.
What is Plane?A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalisation of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes.
A plane doesn't only have one dimension, though. The two dimensions of a plane.
A plane is a flat, infinitesimally long two-dimensional surface.
The plane can occasionally be extended into three dimensions.
Consequently, a plane has more than one dimension.
Learn more about Plane here:
https://brainly.com/question/1962726
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