Answer:
[tex]-x^{2}[/tex]
Step-by-step explanation:
It simple really its just a reflection over the x-axis making it a negative towards the parent function
Answer:
The answer is -x²
Step-by-step explanation:
Hope this helps :)
[tex]z^{7}=128i[/tex]
z = ____ + ____ i
If z ⁷ = 128i, then there are 7 complex numbers z that satisfy this equation.
[tex]z^7 = 128i = 2^7i = 2^7e^{i\frac\pi2}[/tex]
[tex]\implies z=\sqrt[7]{2^7} e^{i\frac17\left(\frac\pi2+2n\pi\right)}[/tex]
(where n = 0, 1, 2, …, 6)
[tex]\implies z = 2 e^{i\left(\frac\pi{14}+\frac{2n\pi}7\right)}[/tex]
[tex]\displaystyle\implies z = 2 \left(\cos\left(\frac\pi{14}+\frac{2n\pi}7\right)+i\sin\left(\frac\pi{14}+\frac{2n\pi}7\right)\right)[/tex]
3. university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 4 hours. How large a sample must be selected if he wants to be 96% confident of finding whether the true mean differs from the sample mean by 2 hours
Answer:
A sample of 17 must be selected.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation from a previous study is 4 hours.
This means that [tex]\sigma = 4[/tex]
How large a sample must be selected if he wants to be 96% confident of finding whether the true mean differs from the sample mean by 2 hours?
A sample of n is required.
n is found for M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 2.054\frac{4}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 2.054*4[/tex]
Simplifying both sides by 2:
[tex]\sqrt{n} = 2.054*2[/tex]
[tex](\sqrt{n})^2 = (2.054*2)^2[/tex]
[tex]n = 16.88[/tex]
Rounding up:
A sample of 17 must be selected.
which is the correct answer?
Answer:
11/12
Step-by-step explanation:
1/4 + 2/3
= 3/12 + 8/12
= 11/12
In the following please select whether a hypothesis test or a confidence interval is most appropriate.
a. A business owner wants to know what proportion of sales occur online for their store.
b. A book publisher wants to know if more than 25% of customers buy an entire book series all at once instead of as individual books.
c. A professor wants to know the proportion of students who regularly show up to class.
d. A researcher is interested in seeing if less than 50% of Americans support the tariffs on Chinese goods.
Answer:
A. Confidence interval
B. Hypothesis test
C. Confidence interval
D. Hypothesis test
Step-by-step explanation:
A hypothesis a hypothesis test is done in statistics whereby the person carrying out the test, tests an assumption concerning a population interval.
Confidence interval can be gotten from the statistics of observed data it provides a given range of values for a parameter that is not known.
A.we use the confidence interval here
B. We use the hypothesis test
C. The confidence interval is the appropriate test
D. The hypothesis would be best
In the xy-plane, the slope of the line y = mx − 4 is
less than the slope of the line y = x − 4. Which of the
following must be true about m?
[Show Workings}
I will give brainlist to the person with the right
If the slope of the line y = mx − 4 is less than the slope of the line y = x − 4, this shows that m will be any values less than 1 i.e. m < 1. This gives a true statement
The slope of a line defines the steepness of such a line. It is the ratio of the rise to the run of a line.
The general formula for calculating an equation of a line is expressed as:
[tex]y = mx + b[/tex] where:
m is the slope of the line
Given the equation of the line, [tex]y=x-4[/tex] the slope of the line will be derived through comparison as shown:
[tex]mx=1x\\[/tex]
Divide through by x
[tex]\dfrac{mx}{x} = \dfrac{1x}{x}\\ m=1[/tex]
Hence the slope of the line y = x - 1 is 1.
According to the question, since we are told that the slope of the line
y = mx − 4 is less than the slope of the line y = x − 4, this shows that m will be any values less than 1 i.e. m < 1. This gives a true statement
Learn more about the slope of a line here: https://brainly.com/question/16949303
Answer:
Step-by-step explanation:
PLEASE HELP! Don’t know how to solve this or where to start. I tried multiplying and dividing but still got the wrong answer. How do I solve this problem?
Answer:
306 square meters.
Step-by-step explanation:
Divide the shape into 2 rectangles.
Lets do the one that is sticking to the top first.
The area is 6 * 15, which is 90.
Lets do the second rectangle. The area is:
27 * 8, which is 216.
Add them all up (90 + 216), which is 306.
Answer:
306m²
Step-by-step explanation:
Split the shape into two rectangles with the accureate lengths
The top-most of the two rectangles with length 6m and width 15m:
6 x 15 = 90 m² (area of rectangle A)
The bottom rectangle:
27(full length) x 8m(full width) = 216m²
Add the two areas together for the full shape
216 + 90 = 306m²
Select the line segment.
Answer:
i think you need to attach a fine for us to do so?
Step-by-step explanation:
Answer:
I can't tell you without the problem
If BC = 8.3, CD - 6,7, and AD = 11.6, find AB to the nearest tenth.
Answer:
ab=14.4
Step-by-step explanation:
This is going to be tricky to explain over text, so try to bear with me :) You have the information given above. Let's start with just ad = 11.6 for now. since these are variables, it can also be understood be understood as a times d= 11.6. Knowing this, we can figure out that d = 11.6/a, when you divide both sides by a. You now have d, so plug (11.6/a) into cd=6.7. You have to do the same thing you did last time, except this time you are aiming to get c by itself. So, multiply both sides by a/11.6 and you get c = (6.7a)/ 11.6. Guess what, you know c now! so you put (6.7a)/11.6 in for c in the equation given to you earlier, bc =8.3. The math gets a bit messy here, but you basically solve for b here, which, when you crunch the numbers down, ends up being ~14.3705 divided by a. You are looking for ab, so just multiply both sides by a, and round to the nearest tenth so that you have ab= 14.4
A cylinder has a radius of 2.5 inches (in.) and a height of 11 in., as shown.
2.5 in.
11 in.
What is the surface area, in square inches, of the cylinder?
Answer:
212.06
Step-by-step explanation:
can't really explain since the formula is fricking long but trust me that's uts 212.06 in²
5. En una fábrica se producen 3,500
plumas por 6 trabajadores, si se
suman tres más, ¿cuál será la
producción de plumas? *
Answer:
Si se suman 3 trabajadores la producción será 5250 plumas.
Step-by-step explanation:
Inicialmente tenemos 6 trabajadores, al añadir 3 trabajadores más tendríamos ahora 9 trabajadores:
[tex] 6 + 3 = 9 [/tex]
Entonces, la producción de plumas (P) sería ahora:
[tex] P = \frac{3500}{6}*9 = 5250 [/tex]
Por lo tanto, si se suman 3 trabajadores la producción será 5250 plumas.
Espero que te sea de utilidad!
Which of the following is a correctly written algebraic equation?
a + 0.2x
5b - 5x + 2
a- 3x = 0
The equation "a - 3x = 0" is correctly written because it follows the standard format of an algebraic equation.
Given that,
All the equations are,
1. a + 0.2x
2. 5b - 5x + 2
3. a - 3x = 0
Now, from equation ''a - 3x = 0'',
In this equation, the variable "a" subtracted from 3 times the variable "x" equals zero.
The equal sign (=) indicates that the expression on both sides of the equation is equivalent.
The equation is properly balanced and expresses equality between the two sides.
It accurately represents a relationship between the variables "a" and "x" where the value of "a" is dependent on the value of "x" in order to satisfy the equation.
So, The correctly written algebraic equation is:
a - 3x = 0
To learn more about the equation visit:
brainly.com/question/28871326
#SPJ4
19. In a random sample of 250 students, we found that 75 work out 4 or more times a week. Find the 95% confidence interval for the proportion of students who work out 4 or more times a week.
Answer:
The 95% confidence interval for the proportion of students who work out 4 or more times a week is (0.2432, 0.3568).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a random sample of 250 students, we found that 75 work out 4 or more times a week.
This means that [tex]n = 250, \pi = \frac{75}{250} = 0.3[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 - 1.96\sqrt{\frac{0.3*0.7}{250}} = 0.2432[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 + 1.96\sqrt{\frac{0.3*0.7}{250}} = 0.3568[/tex]
The 95% confidence interval for the proportion of students who work out 4 or more times a week is (0.2432, 0.3568).
Marco can paddle his canoe at a rate of 6 miles per hour on unmoving water. However, today Marco is canoeing down (with the current), and then back up (against the current), a river that's moving at a rate of 1 mile per hour, so the current affects his rate of speed. If it takes Marco 6 total hours to go x miles downstream and then return to his starting point, how far downstream does he travel?
A) 1.25 miles
B) 2.5 miles
C) 5 miles
D) 17.5 miles
Answer:
S = v1 t1 = 7 t1 traveling downstream
S = v2 t2 = 5 t2 traveling upstream
7 t1 = 5 t2
7 (6 - t2) = 5 t2 since t1 + t2 = 6
42 - 7 t2 = 5 t2
t2 = 42 / 12 = 3.5 hrs so t1 = 2.5 hrs
S = 7 t1 = 7 * 2.5 = 17.5 mi
Also, S = 5 t2 = 5 * 3.5 = 17.5 mi
Multiply (x2 + 3x + 5)(2x2 - 2x + 1).
A. 2A - 6x2 + 5
B. 3x2 + x + 6
C. 2A + 4x2 + 5x2 - 7x + 5
D. 2x4 + 8x3 + 17x2 + 13x+5
Xét mô hình thu nhập quốc dân hai thành phần sau đây
dY/dt= 0.5(C + I – Y)
C = 0.6Y + 600
I = 0.2Y + 400.
Tìm biểu diễn của Y(t) với Y(0) = 9000. Mô hình này ổn định hay không ổn định?
Answer:
No se me puedes ayudar por fa
Check out the attachment and help me out please!!!
Answer:
20
Step-by-step explanation:
4 + 2 + 5 + 4 + 0 + 1 + 1 + 3 = 20
find integer pairs for -18?
Answer:
Step-by-step explanation:
Factor pairs:
1, 18
2, 9
3, 6
Need help
What is the domain shown in the graph
Answer:
A
Step-by-step explanation:
If 4x³+kx²+px +2 is divisible by x²+ α prove that kp=8.
Answer:
Attached images
It was just easier for me this way.
Let me know in comments if you have questions.
Step-by-step explanation:
-09
2 1 point
The amount of a radioactive substance y that remains after t years is given by the equation y = a (e)^kt, where a is the initial
amount present and k is the decay constant for the radioactive substance. If a = 100, y = 50, and k = -0.035, find t.
Answer:
19.80
Step-by-step explanation:
Given the equation :
y = a (e)^kt
If a = 100, y = 50, and k = -0.035, find t.
50 = 100(e)^(-0.035t)
50/100 = e^(-0.035t)
0.5 = e^-0.035t
Take the In
In(0.5) = - 0.035t
-0.693147 = - 0.035t
-0.693147 / - 0.035 = t
19.8042 = t
Hence, t = 19.80
Ted is not particularly creative. He uses the pickup line "If I could rearrange the alphabet, I'd put U and I together." The random variable x is the number of women Ted approaches before encountering one who reacts positively. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
No, the sum of all the probabilities is not equal to 1.
Step-by-step explanation:
Given
[tex]\begin{array}{ccccc}x & {0} & {1} & {2} & {3} & {P(x)} & {0.001} & {0.007} & {0.033} & {0.059} \ \end{array}[/tex]
Required
Determine if the given parameter is a probability distribution
For a probability distribution to exist, the following must be true;
[tex]\sum P(x)=1[/tex]
So, we have:
[tex]\sum P(x) = 0.001 + 0.007 + 0.033 + 0.059[/tex]
[tex]\sum P(x) = 0.1[/tex]
Hence, it is not a probability distribution because the sum of all probabilities is not 1
What value of b will cause the system to have an infinite number of solutions?
V = 6x + b
-3 x + 1/2 V = -3
Answer:
-6
Step-by-step explanation:
V = 6x + b
1/2 V -3 x = -3
V - 6x = -6
V - 6x = b
According to the WHO report, girls who are one month old have a mean head circumference of 36.6 centimeters with a standard deviation of 1.2 centimeters. As with most body measurements, head circumference has a normal probability distribution. Medscape defines microcephaly (small head syndrome) as a head circumference that is more than two standard deviations below the mean. What is the probability that a one-month old girl will be categorized as having microcephaly
Answer:
0.0228 = 2.28% probability that a one-month old girl will be categorized as having microcephaly
Step-by-step explanation:
Normal Probability Distribution
Problems of normal 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.
Medscape defines microcephaly (small head syndrome) as a head circumference that is more than two standard deviations below the mean. What is the probability that a one-month old girl will be categorized as having microcephaly?
Probability of a z-score of -2 or less, which is the p-value of Z = -2.
Looking at the z-table, Z = -2 has a p-value of 0.0228.
0.0228 = 2.28% probability that a one-month old girl will be categorized as having microcephaly
The solution to the equation x3 = 125 is: 5 -5 ±5
Answer:
x=5
Step-by-step explanation:
x^3 = 125
Take the cubed root of each side
x^3 ^ (1/3) = 125 ^ (1/3)
x = 5
answer please I’m dying from math
Answer:
[tex]\huge\boxed{\text{D)} \ 15x^4 + 2x^3 - 8x^2 - 22x - 15}[/tex]
Step-by-step explanation:
We can solve this multiplication of polynomials by understanding how to multiply these large terms.
To multiply two polynomials together, we must multiply each term by each term in the other polynomial. Each term should be multiplied by another one until it's multiplied by all of the terms in the other expression.
We can do this by focusing on one term in the first polynomial and multiplying it by all the terms in the second polynomial. We'd then repeat this for the remaining terms in the second polynomial.Let's first start by multiplying the first term of the first polynomial, [tex]3x^2[/tex], by all of the terms in the second polynomial. ([tex]5x^2+4x+5[/tex])
[tex]3x^2 \cdot 5x^2 = 15x^4[/tex] [tex]3x^2 \cdot 4x = 12x^3[/tex] [tex]3x^2 \cdot 5 = 15x^2[/tex]Now, we can add up all these expressions to get the first part of our polynomial. Ordering by exponent, our expression is now
[tex]\displaystyle 15x^4 + 12x^3 + 15x^2[/tex]Now let's do the same with the second term ([tex]-2x[/tex]) and the third term ([tex]-3[/tex]).
[tex]-2x \cdot 5x^2 = -10x^3[/tex] [tex]-2x \cdot 4x = -8x^2[/tex] [tex]-2x \cdot 5 = -10x[/tex] Adding on to our original expression: [tex]\displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 10x[/tex] [tex]-3 \cdot 5x^2 = -15x^2[/tex] [tex]-3 \cdot 4x = -12x[/tex] [tex]-3 \cdot 5 = -15[/tex] Adding on to our original expression: [tex]\displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 15x^2 - 10x - 12x - 15[/tex]Phew, that's one big polynomial! We can simplify it by combining like terms. We can combine terms that share the same exponent and combine them via their coefficients.
[tex]12x^3 - 10x^3 = 2x^3[/tex] [tex]15x^2 - 8x^2 - 15x^2 = -8x^2[/tex] [tex]-10x - 12x = -22x[/tex]This simplifies our expression down to [tex]15x^4 + 2x^3 - 8x^2 - 22x - 15[/tex].
Hope this helped!
what quadratic expression represents (2x+5)(7-4x)
a.-8x^2+6x-35
b.-8x^2-34x+35
c.-8x^2+34x-35
d.-8x^2-6x+35
[tex]\\\\\\[/tex]
Therefore
[tex]\sf{Option~ D ~is ~correct }[/tex][tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
Answer:
-8x² -6x + 35
Step-by-step explanation:
A expression is given to us and we need to find out the quadratic equation . For that Multiply the two terms of the quadratic equation. The given expression is ,
Given expression :-
[tex]\rm\implies ( 2x +5)( 7 - 4x ) [/tex]
Multiply the terms :-
[tex]\rm\implies 2x ( 7 - 4x )+5(7-4x) [/tex]
Simplifying the brackets :-
[tex]\rm\implies 14x - 8x^2 + 35 - 20x [/tex]
Rearrange and simplify :-
[tex]\rm\implies -8x^2 -6x + 35 [/tex]
Therefore :-
[tex]\rm\implies\boxed{ \rm Quadratic\ Equation \ = -8x^2 -6x + 35} [/tex]
After deduction of 4 paisa in a Rupee a sum of Rs 720 is left.What was it originally?
Given:
After deduction of 4 paisa in a Rupee a sum of Rs 720 is left.
To find:
The original amount.
Solution:
We know that,
1 Rs. = 100 paisa
After deduction of 4 paisa in a Rupee, we get
[tex]100-4=96[/tex]
It means Rs. 720 is the 96% of the original amount.
Let x be the original amount.
[tex]720=\dfrac{96}{100}x[/tex]
[tex]72000=96x[/tex]
[tex]\dfrac{72000}{96}=x[/tex]
[tex]750=x[/tex]
Therefore, the original amount is Rs. 750.
Bateman Corporation sold an office building that it used in its business for $800,800. Bateman bought the building 10 years ago for $599,600 and has claimed $201,200 of depreciation expense. What is the amount and character of Bateman's gain or loss?
Answer:
$402.700 capital gain
Step-by-step explanation:
A fair dice is rolled. Work out the probability of getting a number less than 5. Give your answer in its simplest form.
Step-by-step explanation:
4/6
=2/3
That's what I could show you
the mean of 5 numbers is 198. the numbers are in ratio 1:2:3:4:5 find the smallest number
Answer: 13.2
In fraction form, this is 66/5
=============================================================
Explanation:
The five values are in the ratio 1:2:3:4:5 which scales up to 1x:2x:3x:4x:5x for some positive number x.
Add up the pieces of the second ratio and set that sum equal to 198. Then solve for x.
1x+2x+3x+4x+5x = 198
15x = 198
x = 198/15
x = 66/5
x = 13.2 is the smallest number since 1x = 1*13.2 = 13.2 was the smallest value of the ratio 1x:2x:3x:4x:5x.