(7+i)-(6-4i) whats this answer as a complex number in standard form.
Remove parenthesis, rearrange, and combine like terms.
7+i-6+4i
1i+4i+7-6
5i+1
---
hope it helps
The outlier has the greatest affect on the ___________.
Answer:
mean
Step-by-step explanation:
Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 49 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased
Answer:
0.0143 = 1.43% probability that the amount dispensed per box will have to be increased
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean for 1 hour is 1 pound and the standard deviation is 0.2 pound
This means that [tex]\mu = 1, \sigma = 0.2[/tex]
Sample of 49:
This means that [tex]n = 49, s = \frac{0.2}{\sqrt{49}} = 0.0286[/tex]
What is the probability that the amount dispensed per box will have to be increased?
This is the probability of the sample mean being less than 15 pounds = 15/16 = 0.9375 ounces, which is the pvalue of Z when X = 0.9375.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.9375 - 1}{0.0286}[/tex]
[tex]Z = -2.19[/tex]
[tex]Z = -2.19[/tex] has a pvalue of 0.0143
0.0143 = 1.43% probability that the amount dispensed per box will have to be increased
I think it will be b but I don’t know
Answer:
yeah it is b
acute and scalene
Step-by-step explanation:
scalene means none of the sides equal
and also all sides are acute angles
Answer:
yep you are correct it would be answer b
Step-by-step explanation:
hope this helped you
During trimester 2 the math team gave 4 product assignments. The 4 scores were a 50, 90, 62, and 63.
What was the median score of the product assignments?
What was the average score of the product assignments?
Answer:
median = 62.5, average = 66.25
Step-by-step explanation:
50, 90 , 62 and 63
median = 50 , 62, 63, 90
62 + 63 / 2
125/2
median = 62.5
average = 50 + 90 + 62 + 63 /4
=265/4
average = 66.25
Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and plans to collect data on the length of shots played by golfers who use the magnetic bracelets. Another golfer points out that many golfers who purchase the bracelets also purchase other expensive golf equipment, such as golf clubs, and this could be a confounding variable.
Which statement best describes the effect of the confounding variable?
A. Because golfers purchase expensive golf clubs, they may stop wearing their magnetic bracelets, which would interfere with the outcome of the study.
B. Because golfers can be randomly assigned to receive either magnetic bracelets or expensive golf clubs, the expensive golf clubs are a confounding variable.
C. Because golfers using the magnetic bracelets believe they are hitting longer shots, the study may show their shots are not as long as they believe.
D. Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots.
Answer:
d
Step-by-step explanation:
just made a 100
The statement "Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots." best describes the confounding variable.
What is a confounding variable?A confounding variable is a third variable used to examine research based on a cause and effect relationship.
Golfers who are likely to use the magnetic bracelets also buy and use other expensive golf equipment. This means that it would be difficult to determine whether the bracelet is having any effect on the performance of the golfers. The effect of the expensive equipment will hinder the results of the study.Therefore, we have determined that statement D "Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots." best describes the effect of the confounding variable.
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For which color is the difference between the theorectical probability and experimental probability greatest? A. Brown; The experimental probability is 19.52%, and the theoretical probability is 25%. B. Orange; The experimental probability is 18.9%, and the theoretical probability is 15%. C. Yellow; The experimental probability is 16.96%, and the theoretical probability is 20%. D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.
Answer: green
Step-by-step explanation:
how is finding 8x3/4 similar to finding 3/4 of 8
Answer: your answer would be 6
8*3=24/4 and 24/4=6
Step-by-step explanation: Hope this help :D
Answer:
Because in order to find 3/4 of 8, you must solve for 8 * 3/4.
A helpful tip is that "of" is one of the giveaways of a multiplication problem. Others include but are not limited to, "multiply, " "product," "by," "times," "area," "twice," "double," "thrice," "triple," and "quadruple."
I would appreciate Brainliest, but no worries.
If one side of a regular decagon is 4 cm, how long is each of the other sides?
Answer:
4cm
Step-by-step explanation:
A decagon has 10 sides that are probably equal. one of the sides is 4cm.The remaining 9sides = 9×4 = 36cmeach sides are 4cm.Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
A regular decagon is a polygon with ten sides of equal length and ten angles of equal measure.
To find the length of each of the other sides, we can use the fact that a regular decagon can be divided into ten congruent isosceles triangles.
The isosceles triangle can be split into two right triangles by drawing an altitude from the vertex opposite the base to the midpoint of the base.
Let's call the length of one of the equal sides of the isosceles triangle "s", and let's call the length of the altitude "h".
Then we can use the Pythagorean theorem to find the length of the other side:
s² = h² + (s/2)²
We can solve for "h" in terms of "s" as follows:
h² = s² - (s/2)²
h² = (4s²)/4 - s²/4
h² = (15s²)/16
h = (s√15)/4
Since the altitude divides the isosceles triangle into two congruent right triangles, each with a hypotenuse of "s",
We can use the Pythagorean theorem again to find the length of each of the other sides of the regular decagon:
s² = h² + (s/2)²
s² = [(s√15)/4]² + (s/2)²
s² = (15s²)/16 + (s²)/4
s² = (15s² + 4s²)/16
s^2 = (19s²)/16
s = √(19/16) s
s = (√19/4) cm
Therefore,
Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.
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Question 4 Incorrect answer. Incorrect. Try again. Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x Overscript bar EndScripts Subscript 1 Baseline equals 289.30 and and another random sample of 16 gears from the second supplier results in x Overscript bar EndScripts Subscript 2 Baseline equals 321.50 and Is there sufficient evidence to conclude that the variance of impact strength is different for the two suppliers
Answer:
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
Step-by-step explanation:
The given data is
Sample1 mean = x1` = 289.3
Sample 1 size = n1= 10
Sample 1 std. dev= s1= 22.5
Sample2 mean = x2` = 321.5
Sample 2 size = n2= 16
Sample 2 std. dev= s2= 21
1)Formulate the null and alternate hypothesis as
H0: σ₁=σ₂ against the claim Ha: σ₁ ≠σ₂
2)The test statistic is
t= (x1`- x2`) / √ s1²/n1+ s2²/n2
where degrees of freedom = d.f=
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
3) the significance level chosen is ∝= 0.05
4) Calculating the d.f
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [21²/10 + 22.5²/16] / [(21/²10)² /9 + (22.5²/16)²/15]
= 18
5) the critical region for ∝= 0.05 for 18 d.f = ±2.101 for two sided test
6) t= (x1`- x2`) / √ s1²/n1+ s2²/n2
t= 289.3- 321.5/√21²/10 + 22.5²/16
t= -32.2/√44.1+31.64
t= -32.2/8.0729
t= -3.9886
7) Conclusion
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
someone please help me answer this
Answer:
It would be 20
Answer:
6.4 in is the answer.
Step-by-step explanation:
a = 5 in
b = 4 in
c = ?
According to the Pythagorean theorem,
a² + b² = c²
5² + 4² = c²
25 + 16 = c²
c² = 41
c = 6.403
Round to the nearest tenth,
c = 6.4 in
∴ the length of the pencil is 6.4 in
PLEASEEEEEE HELPPPPPPPPPP MEEEEEEEEEEEEEEEE
Answer:
120.2 or in other words, the answer is the last option, D
Solve for a.
2
9
х
36
Answer:
a=29×36
Step-by-step explanation:
just do 29×36 to get your answer
Estelle swims for the Shorewood Sharks swim team, Last season, she kept track of how far
she swam at each practice.
Distance swam (m)
+
1,000
1,400
1,800
2,200
2,600
3,000
What was the shortest distance Estelle swam at practice?
meters
Answer:1,400
Step-by-step explanation:
The shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have box plot data:
1,000 1,400 1,800 2,200 2,600 3,000
From the box plot:
The shortest distance Estelle swam at practice is given by:
= 1800—(1400+1800)/2
= 1800 – 1600
= 200 meter
Thus, the shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team
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Which equation matches the graph?
A) y=(x-1)(x-4)
B) y=(x+1)(x+4)
C) y=(x-1)(x+4)
D) y=(x+1)(x-4)
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3?
Answer: Infinite many solutions
Step-by-step explanation:
Given
5x+3(x-1)=10x-2x-3
Expand Parenthesis
5x+3x-3=10x-2x-3
Combine like terms
8x-3=8x-3
Subtract 8x on both sides
8x-3-8x=8x-3-8x
-3=-3
Add 3 on both sides
-3+3=-3+3
0=0
Any number will work on both sides, therefore, there are infinite solutions
Hope this helps!!: )
Please let me know if you have any questions.
Help!
This is the problem
1+10k+1-7k
Answer:
3002
Step-by-step explanation:
Very simple, just add them up.
the volume of a solid triangular prism is 726 cubic centimeters. its height is 12 centimeters and its bases are congruent right isosceles triangles. find the lengths of the equal sides of each base.
9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
Filling in the given information, we find the area of the triangular base to be ...
726 cm³ = B(12 cm)
B = 726 cm³/(12 cm) = 60.5 cm²
The area of an isosceles right triangle is half the area of a square with the same side lengths:
B = 1/2s²
60.5 = 1/2s²
s = √(2(60.5)) = √121 = 11
The length of each of the equal sides of the base is 11 cm.
Find the range of the data in the box plot below.
cookies
Number of cookies eaten
by each contestant
HHHHHHHHHHHHHHHHHHHHHHHHH
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
Answer:
16
Step-by-step explanation:
22-6=16 ;0
Anyone know the answer
Step-by-step explanation:
[tex]4x - 16 + 2x + 16 = 180 \\ 6x = 180 \\ x = 30[/tex]
Step-by-step explanation:
A straight line has 180° so we can set
4x-16+2x+16=180
6x=180
x=30
Hope that helps :)
The moon has a radius of 1738 km. Find the surface area to the nearest tenth. Use 3.14 for pie
Answer:
surface area = 4πr² = 4(3.14)(1738²) = ? (something like 37, 939,290 km²)
My calculator will not go that high
Step-by-step explanation:
surface area = 4πr² = 4(3.14)(1738²) =
10n-5(2n-5) what’s the answer
Answer:
25
Step-by-step explanation:
10n−5(2n−5)
Distribute:
=10n+(−5)(2n)+(−5)(−5)
=10n+−10n+25
Combine Like Terms:
=10n+−10n+25
=(10n+−10n)+(25)
=25
plz mark me as brainliest.
Answer: 25
Step-by-step explanation:
Given
10n-5(2n-5)
Distributive property
=10n-(5×2n-5×5)
Simplify
=10n-(10n-25)
Take off parenthesis (REMEMBER to change signs whenever it is "-" outside)
=10n-10n+25
=0+25
=25
Hope this helps!! :)
Please let me know if you have any questions
Whats the answers to this question?
Answer:
1) e = 6
2) w = 10
3) s = 27
4) t = 4
Step-by-step explanation:
Cross multiplication
Given the figure below with m
HELP ASAP. I’LL MARK YOU BRAINLIEST!!
Answer:
c
Step-by-step explanation:
9514 1404 393
Answer:
C 83°
Step-by-step explanation:
The measure of inscribed angle BDA is half the measure of the arc it intercepts.
∠BDA = (1/2)arcBFA = (1/2)(166°)
∠BDA = 83°
12. Draw an acute scalene triangle. Describe
the angles and sides of the triangle.
show
work.
A car travels a distance of 190 miles in 4
hours and 45 minutes.
Work out the average speed of the car, in
miles per hour.
Answer:
Speed = 40 miles/hourStep-by-step explanation:
Distance (d) = 190 miles
Time (t) = 4 hr 45 min = 19 / 4 hours
Speed = distance / time
= 190 / (19/4)
= 40 miles/hour
The average speed is the total distance traveled by the object in a particular time interval.
The average speed of the car in miles per hour is 40 miles per hour.
What is an average speed?The average speed is the total distance traveled by the object in a particular time interval.
We have,
Distance traveled in 4 hours and 45 minutes = 190 miles
Time = 4 hours and 45 minutes
This can be written in hours as:
= 4.75 hours
Average speed:
= Total distance / Total time
= 190 miles / 4.75 hours
Divide both the numerator and denominator by 4.75
= (190/4.75) / (4.75/4.75)
= 40 miles / 1 hour
Thus the average speed of the car in miles per hour is 40 miles per hour.
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Please Help Me Fast.
FAST FAST FAST
Answer:
Easy it's 40
Step-by-step explanation:
I think it's 40 because the other numbers are all with in the range of 10-20 except 40.
Answer:
Answer is 40! :)
Logan purchased 20 stamps at the post office for $8.40. What is the cost of one stamp?
Answer:
.42
Step-by-step explanation:
Step-by-step explanation:
Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.
what sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum
Given:
Amount = 8700
Time = 3 years
Rate of interest = 24% per annum
To find:
The principal values.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting [tex]A=8700,r=24,t=3[/tex], we get
[tex]8700=P\left(1+\dfrac{24}{100}\right)^{3}[/tex]
[tex]8700=P\left(1+0.24\right)^{3}[/tex]
[tex]8700=P\left(1.24\right)^{3}[/tex]
[tex]8700=1.906624P[/tex]
Divide both sides by 1.906624.
[tex]\dfrac{8700}{1.906624}=P[/tex]
[tex]4563.0391729=P[/tex]
[tex]P\approx 4563.04[/tex]
Therefore, the principal value is about 4563.04.
Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven?
please help
Answer: $71.20
Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!