Answer:
2 - 5i
Step-by-step explanation:
For any complex number like say "z" written in rectangular form as;
z = a + ib, then from definitions the complex conjugate is given by the relation:
z* = a − ib
Now, from our question, we want to find the complex conjugate of 2 + 5i.
From the relationship above, it's clear that the complex conjugate here is;
2 - 5i
4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult stockholders have some college education. Suppose 37% of all American adults have some college education. An American adult is randomly selected. a. What is the probability that the adult owns stock and has some college education
Answer:
P (S∩E) = 0.1591
Step-by-step explanation:
Let the stockholders be donated by S then the P (s)= 0.43
Let the stockholders having some degree be donated by D then the P (d)= 0.75
Let the American having some college degree be donated by E then the
P (E)= 0.37
As the events are independent their joint probability can be found by multiplying the individual probabilities
P (S∩E) = P(s) . P (E)= 0.43 * 0.37= 0.1591
Please help me ! Find y
H0: μ1 – μ2 = 0 vs. H1: μ1– μ2 ≠ 0
H0: μ1 – μ2 ≠ 0 vs. H1: μ1– μ2 = 0
multiple choice 1
a
b
(b) Specify the decision rule with respect to the p-value.
Reject the null hypothesis if the p-value is
less than
.10.
(c) Find the test statistic tcalc. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
tcalc
(d) Assume unequal variances to find the p-value. (Use the quick rule to determine degrees of freedom. Round your answer to 4 decimal places.)
p-value
(e) Make a decision.
We
do not reject
the null hypothesis.
(f) State your conclusion.
We
cannot
conclude that there is a difference between the sizes of homes in the two neighborhoods.
Answer:
hi
Step-by-step explanation:
please help me solve this equation i need step by step explaining 3x + 2= x+4(x+2)
Flight Path of a Bird
In this activity, you'll use quadratic equations to model situations and interpret the solutions to the equation
The flight path of a bird can be represented by this equation, where x represents the horizontal distance, in feet, from a tree
branch and y represents the height, in feet, relative to the ground.
y = 2x2 - 8x + 10
Part A
Question
Rewrite the equation modeling the path of the bird in vertex form by completing the square,
Substitute the values of a, h, and k to complete the equation.
Answer:
The equation modeling the path of the bird in vertex form is [tex]y=2(x-2)^2+2[/tex]
Step-by-step explanation:
General vertex form equation: [tex]f(x) = a(x-h)^2 + k[/tex]
where (h,k) is the vertex
The flight path of a bird can be represented by this equation: [tex]y = 2x^2 - 8x + 10[/tex]
To convert the equation in vertex form
Completing the square :
[tex]y = 2(x^2 - 4x + 5)\\y = 2(x^2 - 4x + 5 +(2)^2-(2)^2)\\y = 2(x^2 - 4x + 5 +(2)^2-4)\\y = 2((x-2)^2-4+5)\\y = 2((x-2)^2+1)\\y=2(x-2)^2+2[/tex]
Where:
(h,k)=(2,2)
a=2
Hence the equation modeling the path of the bird in vertex form is [tex]y=2(x-2)^2+2[/tex]
Four times the sum of f and g is identical to six times g
Answer:
4(f+g)=6g
Step-by-step explanation:
4(f+g)=6g
Find two positive decimals a and b that make
the following statement true. Then find two positive decimals a and b that
make the statement false.
Ifa < 1 and b < 1, then a + b < 1.
Help plzzzz
for making the statement true then find any decimal that when added won't give an answer greater than one.
eg, 0.5 + 0.2= 0.7 this makes the statement a+b<1 correct.
to make the statement false, add two decimals that'll gv answer greater fhan one.
eg, 0.8 + 0.3= 1.1, which makes the statement a+b<1 incorrect/ false
Please help will mark brainliest ! Sampling methods
Answer:
i think it is b
Step-by-step explanation:
Answer:
a to e
Step-by-step explanation:
Yosef is trying to determine whether or not he drinks enough water each day today on average he drank 2/5 of a glass of water every hour for 10 hours, to determine how much water he had he set up the equation 2/5 x 10 =? What is the total amount of water yosef drak
Answer:
4 glasses
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Can someone show me how to do this?
10t - 4<2t
Answer:
t < [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
10t - 4 < 2t
8t - 4 < 0
8t < 4
t < [tex]\frac{1}{2}[/tex]
Seventeen less than a number
is negative two. What is that
number?
Answer:15
Step-by-step explanation:
15-17=-2
Answer:
15
Step-by-step explanation:
15
Which of the following is equal to the opposite of −45?
−|45|
−|−45|
−(−45)
−45
Which of the following statements does not represent the same value as the others?
the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9
All of the following are true statements except _____.
|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93
If you move from zero to 15 on the number line, you are representing all of the following except _____.
the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15
All of the following expressions are equal to N except _____.
−(− N )
− N
| N |
|− N |
Answer:
The first one
Step-by-step explanation:
Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fraction of the flat of paper did each teacher receive?
Answer:
[tex]Each = \frac{4}{15}[/tex]
Step-by-step explanation:
Given
[tex]Fraction = \frac{4}{5}[/tex]
[tex]Teachers = 3[/tex]
Required
Determine fraction of each teacher
Each fraction is calculated by dividing total fraction by number of teachers as follows:
[tex]Each = \frac{Fraction}{Teachers}[/tex]
[tex]Each = \frac{4}{5}/3[/tex]
[tex]Each = \frac{4}{5} * \frac{1}{3}[/tex]
[tex]Each = \frac{4}{15}[/tex]
(4/5) / 3 =
4/5 * 1/3 =
4/15 <== each teacher received 4/15 of a flat
What is a factor of 12
Answer:
2 x 3 (prime number, 2 distinct)
Step-by-step explanation:
Which of the following points satisfies the inequality x ≥ -3? (Select all that apply.)
(0, -2)
(5, -5)
(-3, 4)
(-4, 2)
Answer:
(0,-2)
(5,-5)
(-3,4)
Answer:(0,-2)(5,-5)(-3,4)
Step-by-step explanation:
What is the distance between -3 and 2 on the number line?
-5-4-3
1
2
3
4
5
-5
-1
_ _
7
1
Answer: the answer is 190 to the power of 7
Step-by-step explanation:
so u just have to multiply by 35 and u will get the answer
Answer:
4
Step-by-step explanation:
(-3) -2 -1 0 1 (2)
that therefore counting from left to right will give us 4 because there are 4 numbers inbetween (-3) and (2).
Statistical significance at the 0.01 level is __________ than significance at the 0.05 level .
a. less informative
b. more difficult to achieve
c. easier to achieve
d. less costly
Answer:
d. less costly
Step-by-step explanation:
Statistical significance level is the probability of rejecting the null hypothesis. Statistical significance at the 0.05 level is the standard level for rejecting the null hypothesis.
A significance of 0.01 shows that there is strong evidence to conclude that the null hypothesis is not true. A 0.05 significance is the most used level while 0.01 is used when multiple tests are conducted or when the researcher is not so sure if the null hypothesis should be rejected. It increases the amount of evidence required to prove the null hypothesis and it also reduces the possibility of obtaining a false positive.
Evaluate the function for the indicated values of x.
[Look at image]
Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
Find the length of the missing leg in the following triangle
Answer:
9
Step-by-step explanation:
a² +b²=c²
a²+40²=41²
a²=41²-40²
a²= 81
[tex] \sqrt{ {a}^{2} } = \sqrt{81} [/tex]
a=9
Factor the GCF
12x^2-18x
Answer:
How to solve your question
Your question is
1
2
2
−
1
8
12x^{2}-18x
12x2−18x
Grouping
1
Factor out common coefficient factor
1
2
2
−
1
8
12x^{2}-18x
12x2−18x
6
(
2
2
−
3
)
6(2x^{2}-3x)
6(2x2−3x)
2
Rewrite in factored form
Solution
6
(
2
−
3
)
⋅
Step-by-step explanation:
A tortoise challenged a hare to a 100-meter race on a track. The tortoise negotiated a 60-meter head start with the hare. When they passed their respective starting points the hare was running at a constant speed of 3.6 meters per second and the tortoise was crawling at a speed of 0.7 meters per second. (They both maintained these speeds for the entire race.) Our goal is to determine who won the race. Take out a piece of paper and read the above problem statement again. In a couple of sentences, describe how you might determine who won the race. Construct a drawing to represent the 100-meter length of the track. Then place the tortoise and hare's starting points on the track. Define the variable t to represent the number of seconds since the start of the race.
Answer:
Hare wins the race
Step-by-step explanation:
Length of track = 100 m
Let t represent the number of seconds in completing the race.
Speed of tortoise = 0.7 m/s
Distance covered by tortoise in t seconds = Speed \times time = 0.7t
We are given that The tortoise negotiated a 60-meter head start with the hare.
So, Distance covered by tortoise in t seconds = 60+0.7t
Speed of hare = 3.6 m/s
Distance covered by hare in t seconds = 3.6 t
Now
3.6t = 100
[tex]t=\frac{100}{3.6}[/tex]
t=27.77
60+0.7t=100
[tex]t=\frac{100-60}{0.7}[/tex]
t=57.14
So, Hare took less time
So, Hare wins the race
Your test scores in one class are 80 and 86. What possible scores can you earn on your next test to have a test average between 83 and 88, inclusive?
Answer:
83
Step-by-step explanation:
80+86=166
166÷2=83
If QS bisects ZRQP, mZRQS =
2x + 10, and mZSQP = 3x - 18,
find mZRQS.
Answer:
66°
Step-by-step explanation:
[tex]\because \overrightarrow{QS} \: bisects\: \angle RQP\\\\
\therefore m\angle RQS = m\angle SQP\\\\
\therefore 2x + 10 = 3x - 18\\\\
\therefore 18 + 10 = 3x - 2x\\\\
\therefore 28 = x\\\\
\therefore x = 28\\\\
m\angle RQS = (2x + 10)\degree \\\\
m\angle RQS = (2\times 28+ 10)\degree \\\\
m\angle RQS = (56+ 10)\degree \\\\
\huge \purple {\boxed {m\angle RQS =66\degree}} \\\\
[/tex]
El siguiente diagrama indica el número de comidas al día que hace un grupo de quince amigos:
Answer:
?
Step-by-step explanation:
6. Copy and complete this table to show
equivalent values.
Answer:
Step-by-step explanation:
1. Decimal: 0.25 Fraction: 1/4
2. Percent 50% Decimal: .5
3. 15% Fraction: 15/100
Choose the letter of the correct answer Write your answer on a separate
sheet
1. What do you call an expression in fraction form in which the numerator and
the denominator are polynomials?
A. rational algebraic equation
C. rational algebraic expression
B. linear algebraic expression
D. finear algebraic equation
2. In a rational algebraic expression written in the form of where P and Q are
polynomials, the polynomial Q must not be equal to
AO
C 2
B.
D. 3
3. Which of the following is a rational algebraic expression?
Answer:
1. Rational Algebraic Expression
2. 0
3. See explanation
Step-by-step explanation:
Solving (1):
From the list of given options, Option C. Rational Algebraic Expression answers the question.
And it is always of the form P/Q where P and Q are polynomials
Take for instance
P = x² - x + 2 and Q = x² + 2x - 4
P/Q = (x² - x + 2)/(x² + 2x - 4)
The above expression is a perfect example of a Rational Algebraic Expression
Solving (2): The denominator of a rational algebraic expression must not equal 0
Hence, option A answers the question
Solving (3): The options are missing.
However, a perfect example has been sighted on (1) above
What’s the correct one?
Answer: B is the correct answer
Step-by-step explanation: when your symbol is less than it will go to the left and when it is is greater than it will go to the right, and since the symbol is greater than or equal to the circle thingy will be filled in. So, B is the correct answer.
If a roof has a pitch of 5 to 11, how high will the roof rise over a 33-foot run?
a.
3
C.
2
72 feet
1 feet
b. 15 feet
d.
20 feet
The answer is b. 15ft
On the graph paper, plot a point A (-2,-2).Reflect the point A in x-axis and y-axis. Let these points be B and C. Find the measure of angle BAC
9514 1404 393
Answer:
90°
Step-by-step explanation:
The lines of reflection make right angles with each other, so the angle made with the reflected points will be a right angle.
m∠BAC = 90°
A DVD rental store wants to know what proportion of its customers are under age 21. A simple random sample of 400 customers was taken, and 280 of them were under age 21. Presume that the true population proportion of customers under age 21 is 0.68. What is the probability that the sample proportion \hat{p} is within 0.03 of the true proportion of customers who are under age 21 that is , what is the probability that \hat{p} is between 0.68 - 0.03 and 0.68 0.03
Answer:
The sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 is 0.803
Step-by-step explanation:
Total no. of customers = n = 400
We are given that the true population proportion of customers under age 21 is 0.68.
So, p =0.68
q=1-p=1-0.68=0.32
Standard deviation =[tex]\sqrt{\frac{pq}{n}}=\sqrt{\frac{0.68 \times 0.32}{400}}= 0.023[/tex]
We are supposed to find the probability that the sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 that is , what is the probability that [tex]\hat{p}[/tex]is between 0.68 - 0.03 and 0.68+ 0.03
[tex]P(0.65 < X < 0.71) = P((\frac{0.65-0.68}{0.0233}) < Z < (\frac{0.71-0.68}{0.0233}))[/tex]
Using Z table
[tex]= P(-1.2875 < Z < 1.2875)= 0.803[/tex]
Hence the sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 is 0.803
