The dot plots show the number of hours a lightbulb lasts from two different brands. Brand A. Number of hours per lightbulb 1000 4200 1400 1500 1800 2000 Brand B Number of hours per lightbulb .. 1200 1400 1600 1800 2000 Which of the following statements is correct? A. There were more lightbulbs in the dot plot for brand B than in the dot plot for brand A. B. The mean for brand A is the same as the mean for brand B. C. The mean for brand A is higher than the mean for brand B. D. The mean for brand B is higher than the mean for brand A.
Answer:
Step-by-step explanation:
The mean for brand A is higher than the mean for brand B
The mean for brand A is higher than the mean for brand B because the mean for A is 1983.33 and the mean for B is 1600 statement (C) is correct.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
We have:
For brand A:
The number of hours per lightbulb:
1000, 4200, 1400, 1500, 1800, 2000
Mean for brand A:
[tex]\rm Mean(A) = \frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ in \ the\ set}[/tex]
[tex]\rm Mean(A)= \frac{1000+4200+1400+1500+1800+ 2000}{6}[/tex]
[tex]\rm Mean(A)= \frac{11900}{6}\\\\\rm Mean(A) = 1983.33[/tex]
For Brand B:
The number of hours per lightbulb:
1200, 1400, 1600, 1800, 2000
Mean for brand B:
[tex]\rm Mean(B) = \frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ in \ the\ set}[/tex]
[tex]\rm Mean(B)= \frac{1200 +1400 +1600 +1800 +2000}{6}[/tex]
[tex]\rm Mean(B)= \frac{8000}{5}\\\\\rm Mean(B) = 1600[/tex]
We can see that:
Mean(A) > Mean(B)
Thus, the mean for brand A is higher than the mean for brand B because the mean for A is 1983.33 and the mean for B is 1600 statement (C) is correct.
Learn more about the mean here:
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Find the values of x and y. Write your answers in simplest form.
Answer:
x = 5√2
y = 15
Step-by-step explanation:
By applying sine rule in the given right triangle,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{y}{10\sqrt{2}}[/tex]
y = [tex]\frac{\sqrt{3} \times 10\sqrt{2} }{2}[/tex]
y = 15
Similarly, by applying cosine rule in the given triangle,
cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{x}{10\sqrt{2}}[/tex]
x = 5√2
please help me with this i really need help
Answer:
the boxes are this
top left: 9
top right is 7
bottom right is 9
Step-by-step explanation:
Which expression is equivalent (With explanation)
Answer:
log_7(6)
Step-by-step explanation:
log_7(2)+log_7(3)
log_7(2×3)
log_7(6)
Austin plans to watch 2 movies each month. Write an equation to represent the total number of movies that he will watch in months.
Milo wants to put a fence around the dog park near his house. He measures the sides and finds they are 7 m and 8 m long. He multiplies 7×2 and 8×2 and finds he needs 30 m of fencing.
Which measurement does 30 m?
Choose 1 answer:
(Choice A)
Perimeter
(Choice B)
Length
(Choice C)
Area
Answer:
(Choice A) Perimeter
Step-by-step explanation:
It can't be the length, because it states in the question that the length is 7 m
and it can't be the area because lw = 7(8) = 56 is the area.
I need this ASAP please thank you
Which line is perpendicular to 5y + 2x = 10?
2x + 5y = 10
10x - 4y = 8
y + 5x = -2
y = - 2x + 10
Choose the correct answer below.
O A. y = - 2x + 10
OB. 10x - 4y = 8
O C. y + 5x = -2
OD. 2x + 5y = 10
1⁄2 · n = 3 I don't know what to do
Answer:
n=6
Step-by-step explanation:
[tex]\frac{1}{2} n=3[/tex]
Multiply both sides by 2
2*1/2n=3*2
Simplify;
n=6
Answer: n=6
Step-by-step explanation:
6*1/2=3 so this is y n=6.
Which number is not the mean, median, mode, or range of the data set 4, 3, 15, 11, 3, 8, 7,5?
Answer:
15
Step-by-step explanation:
Answer:
The answer is
Step-by-step explanation:
Mean 7
Median 6
Mode 3
Range 12
Can this expression be simplified? If not, explain why. WILL MARK BRAINLIEST.
Answer:
yes
Step-by-step explanation:
see attached graph - there are two real roots for y=2x^4-6x^2+10x-7
so 2x^4-6x^2+10x-7 can be expressed as:
(x - root1)(x - root2)(2x^2+Bx+C)
Answer:
Yes, it can be.
Step-by-step explanation:
Using solver program, the expression 2x^4-6x^2+10x-7 has:
two real roots at x≈-2.3888 and x≈1.1424
and
two complex roots at x≈0.62321 - 0.94559 i and x≈0.62321 + 0.94559 i
Because it has two real roots, the expression can be simplified.
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 9.4% per hour.
How many hours does it take for the size of the sample to double?
Note: This is a continuous exponential growth model.
Do not round any intermediate computations, and round your answer to the nearest hundredth.
oo
E
Answer:
It takes 7.37 hours for the size of the sample to double.
Step-by-step explanation:
Continuous exponential growth model:
The continuous exponential growth model for populations is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate parameter, as a decimal.
Growth rate parameter of 9.4% per hour.
This means that [tex]r = 0.094[/tex]
So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(t) = P(0)e^{0.094t}[/tex]
How many hours does it take for the size of the sample to double?
This is t for which P(t) = 2P(0). So
[tex]P(t) = P(0)e^{0.094t}[/tex]
[tex]2P(0) = P(0)e^{0.094t}[/tex]
[tex]e^{0.094t} = 2[/tex]
[tex]\ln{e^{0.094t}} = \ln{2}[/tex]
[tex]0.094t = \ln{2}[/tex]
[tex]t = \frac{\ln{2}}{0.094}[/tex]
[tex]t = 7.37[/tex]
It takes 7.37 hours for the size of the sample to double.
Suppose a jar contains 12 red marbles and 18 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Write your answer in decimal form, rounded to the nearest thousandth.
Emily and Fred each have some money.
Gary has no money.
Emily gives £9 to Gary.
Fred gives £6 to Gary.
Now they all have the same amount of money.
a) How much money did Emily have to begin with?
£
b) How much money did Fred have to begin with?
£
Answer
Assalam waliakum
Answer:
Step-by-step explanation:
If I add Gary's money
9+ 6 = 15
Emily have to begin with, $ 24
15 + 9 = 24
Fred have to begin with $ 21
15 + 6 =21
what is the answer to x+2=17-4x
Answer:
x = 3
Step-by-step explanation:
Move all terms containing x to the left
5x + 2 = 17
Move all terms not containing x to the right
5x = 15
Divide each term by 5 and simplify
x = 3
Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish.
Convert 976 cups to gallons.
976 cups equals
gallons.
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The tank can not keep 30 tropical fish in it.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Since there needs to be an average of 2 gallons of water for each fish and there are a total of 30 tropical fish. Therefore, the amount of water needed for a total of 30 fish to flourish is,
Amount of water needed = 30 fish × 2 gallons = 60 gallons
Since One gallon is equal to 19.2152 cups. Therefore, the amount of water needed for the fish to flourish is,
60 gallons = 60 × 19.2152 cups = 1152.912 cups
Since the tank has a capacity of 976 cups only, the tank is not big enough to keep 30 fish.
Hence, the tank can not keep 30 tropical fish in it.
Learn more about Multiplication:
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the quotient.
=
Answer:
7
Step-by-step explanation:
2+2+3
If f(x) = 2x^2 + 4x + 7, find f'(-5), using the definition of derivative. f'(-5) is the limit as x → -5
of the expression ?
The value of this limit is ?
Using the limit definition of the derivative, you have
[tex]\displaystyle f'(-5) = \lim_{x\to-5} \frac{f(x) - f(-5)}{x - (-5)} = \lim_{x\to-5} \frac{(2x^2+4x+7) - 37}{x + 5}[/tex]
Simplify the numerator:
(2x ² + 4x + 7) - 37 = 2x ² + 4x - 30
… = 2 (x ² + 2x - 15)
… = 2 (x + 5) (x - 3)
Then
[tex]\displaystyle f'(-5) = \lim_{x\to-5}\frac{2(x+5)(x-3)}{x+5} = \lim_{x\to-5} 2(x-3) = \boxed{-16}[/tex]
• • •
For your second question in the comments, if f(x) = -2x ² + 3x - 7, then by the definition of the derivative, you have
[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{(-2(x+h)^2+3(x+h)-7) - (-2x^2 + 3x - 7)}h[/tex]
Simplify the numerator:
(-2 (x + h)² + 3 (x + h) - 7) - (-2x ² + 3x - 7)
… = (-2x ² - 4xh - 2h ² + 3x + 3h - 7) - (-2x ² + 3x - 7)
… = -4xh - 2h ² + 3h
Now compute the limit:
[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{-4xh-2h^2+3h}h = \lim_{h\to0}(-4x-2h+3) = \boxed{-4x+3}[/tex]
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 99% confidence interval with a maximum error of 0.1 reproductions per hour. Assuming that the mean is 6.1 reproductions and the variance is known to be 5.76, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
Answer:
The minimum sample size required for the estimate is of 3820.
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 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Variance is known to be 5.76
This means that [tex]\sigma = \sqrt{5.76} = 2.4[/tex]
What is the minimum sample size required for the estimate?
Maximum error of 0.1 means that we find n for which M = 0.1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.1 = 2.575\frac{2.4}{\sqrt{n}}[/tex]
[tex]0.1\sqrt{n} = 2.575*2.4[/tex]
Multiplying both sides by 10
[tex]\sqrt{n} = 2.575*24[/tex]
[tex](\sqrt{n})^2 = (2.575*24)^2[/tex]
[tex]n = 3819.2[/tex]
Rounding up:
The minimum sample size required for the estimate is of 3820.
What is the value of log, 81?
2
3
4
5
Answer:
log 81 = 1.90849
Step-by-step explanation:
log 81 = log 9^2 = 2 log 9 = 2(0.95424) = 1.90849
A pair of flip flops is $30. How much will they cost after a 20% discount and 6.5% tax?
Answer:
$6.39
Step-by-step explanation
well, 20% of $30 is $6, so then you just have to add on the tax, which is 39 cents, coming to $6.39
Answer:
25.56
Step-by-step explanation:
30 divided by 4 is 6 so 30- 6=24
6.5% of 24=1.56 sooooo 24+1.56=25.56
How much wire is needed to fence a rectangular garden with measurements 20mmx25m
Answer:
500000mm
Step-by-step explanation:
First to have to convert the meters into millimeters (25mm×1000mm=25000mm) than you have to times the answer by 20 (25000mm×20mm=500000mm) and your answer is 500000mm
What is the answer for b, and why?
Simplify and write answer in standard form.
then show work
Answer:
81a²b²
Step-by-step explanation:
(-9ab)² = (-9ab)(-9ab) = 81a²b²
Answer:
[tex]81a^{2} b^{2}[/tex]
Step-by-step explanation:
(-9ab)^2
(-9)^2×a^2b^2
Evaluate the power
81a^2b^2
81a^2b^2
hope it helps...
have a great day!!
The area of the state of Nevada can be estimated using a trapezoid. Estimate the area of the state of Nevada.
A. 31,672 mi2
B. 78,980 mi2
C. 110,622 mi2
D. 131,327 mi2
Answer: 31,672 mi2
Step-by-step explanation:
The area of the state of Nevada can be estimated using a trapezoid
Find angle x to the nearest tenth.
47
73
78
A) 36.1
B) 66.2
C) 26.3
D) 31.6
Please help me with this assignment. Thank you!
Answer:
I hope this ans helps you
Mr. Bruce has some clay with a mass of 24 kilograms. If he puts the same amount of clay into 6 bags, how many grams of clay are in each bag? I NEED THE EXPLANATION
Answer:
4000grams in each bag
Step-by-step explanation:
Assume he put x amount of clay into each bag, he then put 6x into 6 bags.(since the question didn’t mention, I assume he put every clay he has into the bags)
6x=24kg
x=4kg
Since the question is asking for grams not kilograms:
4kg=4000g
can someone help me answer these short questions? thank you!
Answer:
#1 - a mathematical relationship or rule expressed in symbols which help you solve something
#2 - variables, which represent an aspect of the problem
#3 P is perimeter, L is length, W is width, A is area
#4 Because in order to find the perimeter, you need to multiply the length and the width twice then add them.
Step-by-step explanation:
PLEASE HELP ME I AM GIVING 30 POINTS PLEASEEE
A 21 inch TV costs $150. It is advertised on sale for 32% off. What is the cost savings? Solve using two different methods.
Answer:
$48 in savings
Step-by-step explanation:
1.
150-(150*32%)=102
150-102=48
2.
30% of 150 is 45
2% of 150 is 3
45 plus 3 is 48
Please brainliest! I did both methods and explained!