Answer:
2 + 6i
Step-by-step explanation:
It’s the same numbers with an opposite sign
The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]
The conjugate of a complex number a + bi is a - bi. The conjugate is gotten by changing the sign of the imaginary part of the complex number.
The modulus of a complex number a + bi is:
|a + bi| = [tex]\sqrt{a^2+b^2}[/tex]
The conjugate and modulus of 2 – 6i is:
Conjugate of 2 - 6i = 2 + 6i
|2 - 6i| = [tex]\sqrt{2^2+(-6)^2}=\sqrt{40}[/tex]
The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]
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Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?
Answer:
The proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.
Step-by-step explanation:
In this case we need to test whether the proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.
The hypothesis can be defined as follows:
H₀: The proportion of people who can correctly match a dog to their owner is 50%, i.e. p = 0.50.
Hₐ: The proportion of people who can correctly match a dog to their owner is more than 50%, i.e. p > 0.50.
The information provided is:
[tex]x=14\\n=16[/tex]
The sample proportion is:
[tex]\hat p=\frac {x}{n}=\frac{14}{16}=0.875[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]=\frac{0.875-0.50}{\sqrt{\frac{0.50(1-0.50)}{16}}}\\\\=3[/tex]
The test statistic value is 3.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>3)\\\\=1-P(Z<3)\\\\=1-0.99865\\\\=0.00135\\\\\approx 0.0014[/tex]
The p-value is, p-value = 0.0014.
The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.
Thus, there is not enough evidence to support the claim.
Conclusion:
The proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.
An elevator is 2/3 full. The people in the elevator weigh 1/3 ton altogether. How many tons can the elevator carry when it is completely full?
1/2 ton
2 ton
1 tons
1/6 ton
Answer:
Half of a ton
Step-by-step explanation:
2/3 of the elevator are already full and the elevator already weighs 1/3 of ton.The elevator needs 1/3 more of people to make the elevator full so that would be half of 1/3 of a ton which is a sixth.So add 1/6 and 1/3 together ams you get 1/2.
If F= 2x²+ +6x - 5 G=3x² + 4) and C=G-3F, find the value of C as a trinomial
Determine the next 3 terms after : 1 , -2 , 3 , -4 , 5
Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}
Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.
That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}
Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.
Solve.
X-9 = 12
.....
Answer:
x=21
Step-by-step explanation:
x=9+12 x=21
Answer:
Step-by-step explanation:
X-9=12
Reverse the operation into
9+12=x
9+12=21
Now check
21-9=12
are two squares with the same side lengths scaled copies of one another explain your reasoning
Answer:
no
Step-by-step explanation:
if they have the same side lengths, then neither of the squares were scaled up nor down. they're the same size, so they're just copies of each other
A company had a loss of -$1,786.50 over the past 1.5 years. What was the company's average loss per year?
Answer:
A COMPIONY FARTED AND THEN YEAH 13256326
Step-by-step explanation:
which of these planets is Earth explain your answer
Answer:
The answer is Planet B
Step-by-step explanation:
Earth has one bar and Nasa said Earth tempetaure is 15°C
Rewrite, using the distributive
property.
-3(5x – 10) = [?]x +[ ]
Answer:
-15x + 30
Step-by-step explanation:
Using the distributive property, distribute -3 to the parentheses:
-3(5x) = -15x
-3(-10) = 30
Add these terms together:
-15x + 30 is the rewritten expression
Answer:
-15x + 30
Step-by-step explanation:
-3*5 = -15 and -3 * -10 equals 30 also negative times a negative is always a positive number
High Hopes ^^
Barrys
2. A student measured the mass and volume of three different-sized samples of sand. He then calculated the
density of each sample. His results are shown below.
Sand Sample
1
2
3
Mass (8)
10
15
20
Volume (ml)
4.5
5.6
6.7
Density (g/mL)
2.2
2.7
3.0
How do you know just by looking at the "Density" column that the student made errors in his investigation?
9514 1404 393
Answer:
we expect the results to have less spread
Step-by-step explanation:
The spread between the maximum and minimum is almost 1/3 of the average of those values (0.8 vs 2.6). We expect repeated measurements of the same physical value to be well within 5% of their mean if they are done carefully.
The investigation has errors because the spread is too great.
Write the following number in standard form.
eight hundred twenty-six and four hundredths
8,264
826.4
826.004
826.04
Answer:
D
Step-by-step explanation:
hope this helps :3
Answer:
hundreds
Step-by-step explanation:
Remember the place values:
thousands 8
hundreds 2
tens 1
ones 6
.
tenths 4
The 2 is in the hundreds place.
A board 60 in long is cut into two parts so that the longer piece is 5 times the shorter. What are the two lengths of the two pieces ?
The shorter piece is _____ a° in
the longer piece is _____a° in
Answer:
Longer piece: 50 in
Shorter piece: 10 in
Step-by-step explanation:
Lets make the shorter piece = x
Leta make the longer piece = 5x
Since the longer piece is 5 times the shorter, this is why we put 5x, because 5 times the shorter. We also have to find the two lengths of the pieces which in total equals 60 in.
x + 5x = 60 in
If we substitute the x to 10:
10 + 50 = 60 in
10 in = shorter length
50 in = longer length
Felipe has s flower bed with area of 25/4 ft2. He expands the flower bed to and area 75/4ft2. how many square feet of space does the larger flower bed have for every square foot of the smaller flower bed.
Answer:
Step-by-step explanation:
100
What is (-i)^6 ?
A. 1
B.-1
C. -i
D. i
Answer:
I think it's D I'm probably wrong
Answer:
B. -1
Step-by-step explanation:
can someone please help me :)
Answer:
C
Step-by-step explanation:
These pairs are both interior angles and are consecutive because they are divided by a transversal.
Simplify the given equation.
6 - (3x + 10) + 4(2 - x) = 15
Options:
4 - 7x = 15
4 - 4x = 15
12 - 7x = 15
Answer:
4 - 7x = 15
Step-by-step explanation:
I think not sure
What is the absolute value of |-18|
Answer:
18
Step-by-step explanation:
Robert earned $10, which was 4 less than twice what Eric earned. How much money
did Eric earn?
Answer:
uh
Step-by-step explanation:
gygygyg
Why does this not exist? I thought if you plugged in infinity, you would just get infinity. Do you not plug in infinity?
Answer:
See below
Step-by-step explanation:
It does not exist because the
[tex](-1)^x[/tex]
doesn't tend to some value it just loop around
[tex]-1, 1[/tex]
for ever
it exist when we have
[tex]\lim_{x\rightarrow \infty}[(\frac{1}{x})][/tex]
there when the value of x increasing the fractions tends to 0
so we can say that when x approaches infinity the value is 0.
Tell me if i haven't made myself clear
Which mapping best represents the function f(x) = 2x2 + 5x + 3 when the domain is {–1, 0, 3}?
Answer:
Step-by-step explanation:
Given the function f(x) = 2x^2 + 5x + 3 with the domain {-1, 0, 3}, to get the mapping that best represents the function, we will have to find the codomain of the function given by substituting the domain values into the function;
when x = -1
f(-1) = 2(-1)^2 + 5(-1)+ 3
f(-1) = 2 - 5+ 3
f(-1) = 0
when x = 0
f(0) = 2(0)^2 + 5(0)+ 3
f(0) = 0+0+ 3
f(0) = 3
when x = 3
f(3) = 2(3)^2 + 5(3)+ 3
f(3) = 18+15+ 3
f(3) = 36
Hence the mapping is {0,3,16}
The product of -9 and a number, increased by 15 is -7. Find the number.
Answer: the answer is -23 i think
Step-by-step explanation:
Which sentence best describes the interval [-2,1]
Answer:
The function is increasing on the interval [-2,1]
Step-by-step explanation:
The best sentence that describes the interval [-2, 1] implies that the function is increasing on the interval [-2, 1].
What is a cubic polynomial function?A cubic polynomial function is a polynomial function whose power is at 3°. It has a general formula f(x) = ax³ + bx² + cx + d.
where;
a, b, c, and d are real numbers, hence a ≠ 0.If the data given in the table is represented on the graph, we can see that the data value proceeds in increasing order from negative to positive, as such:
The best sentence that describes the interval [-2, 1] implies that the function is increasing on the interval [-2, 1].
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QUESTION 2
84 is 30% of what number?
Answer: 280
Step-by-step explanation:
100/30=3.(3)
3.(3)*84=280
Answer:
280
Step-by-step explanation:
Which expression is not equivalent to -3x1/2+4y
Answer:
The second expression
Step-by-step explanation:
the term in x is not - 3 x
Here are four logos.
Which two logos have more than one line of symmetry?
Answer:
A and C
Step-by-step explanation:
A and C
Thank you
The logos have more than one line of symmetry are Option(c) and Option (1)
What is a line of symmetry?
A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged. A square has 4 lines of symmetry, as shown below.
According to the question
Logos have more than one line of symmetry
are option A and Option C
As in Option A if we cuts the shape exactly in half along lines marked in circle
There half will be same
so , there are 3 lines of symmetry in option A.
Now, In option 4
if we cuts the shape exactly in half along the middle of horizonal and vertical side of square figure
There half will be same
So , there are 2 lines of symmetry in option C.
Hence, The logos have more than one line of symmetry are Option(c) and Option (1) .
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Does anyone know this please
The Parker family went to the carnival. When everyone was ready for lunch, Dad bought 4 drinks for $3.25 and 4 hot dog plates with chips for $8.00. He also used a coupon for $2.00 off the price of lunch. How much did Dad pay for lunch altogether?
Can somebody help me find the perimeter of this figure?
Answer:
I'm not exactly sure but
try 36inches??
Answer:
your answer is 36 inches.
Step-by-step explanation:
Okay, so you see how the 8 in has one dash. So you see how many one dashes there are and you have 2 so then you add that together and you get 16. Same thing with the 5in you have 4 two dashes. So then you add 16+20 and get 36.
Mark me brainliest pLZ!!!!!!
jamie and her 2 friends decide to buy a pizza pie and split the cost. The pizza pie cost $12.78. If Jamie has $5, how much does she have left over after they buy the pizza pie?
Answer:
she has no more money
Step-by-step explanation:
Answer:
7.78 if u subtract
but no more money i guess
Young Professional magazine was developed for a target audience of recent college graduates who are in their first 10 years of a business or other professional career. The magazine has been fairly successful and the publisher is interested in expanding the publication's advertising base. As a recent hire into the marketing department at the magazine, you have been asked to help develop a survey asking readers demographic information and questions about their interests. Your survey results will be used to help the magazine choose articles of interest and provide advertisers with a profile of subscribers.The culmination of your work will be a presentation of your findings to management. Therefore, you not only have to present summary data, but must also be able to explain the results in a manner that is accurate and easy to understand.After running your analysis, the software returns the following information about the age of the respondents:Which statement should you use to explain the 95% confidence interval to management?a. We are 95% confident that the interval 29.7215 to 30.5029 includes the population mean age of all respondents.b. We are confident that 95% of our readers have ages between 29.7215 to 30.5029.c. There is a 95% probability that the population mean age of all respondents lies within the interval 29.7215 to 30.5029.d. We are 95% confident that the interval 29.7215 to 30.5029 includes the sample mean age of all respondents.
information about the age of the respondents is missing, so i have attached it.
Answer:
Option A: We are 95% confident that the interval 29.7215 to 30.5029 includes the population mean age of all respondents.
Step-by-step explanation:
From the attached information given, we see that under the 95% Confidence interval column, that the corresponding mean age of all respondents is the interval 29.7215 to 30.5029.
Now, the mean is population mean because it's the mean of all the respondents in the population.
Thus, the correct answer is;
We are 95% confident that the interval 29.7215 to 30.5029 includes the population mean age of all respondents.
