Answer:
50.4 in^2
66.4 in^2
Step-by-step explanation:
(L)= 6.3in
Area of base= (4)^2 =16 in^2
perimeter= 4×4 =16 in
L.A=1/2 ×p ×l
= 1/2×16×6.3=50.4 in^2
S.A=Base area + L.A
= 16+50.4=66.4 in^2
hope it helps...
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What is the length of side AC as shown on the coordinate plane?
ТУ
Answer: 4 Units
Step-by-step explanation:
If a line goes through the point (2, 7) and has a slope of -2, what is the equation of the line?
Answer:
y = -2x + 11
Step-by-step explanation:
Slope point equation:
y - y1 = m(x -x1)
y1 = 7 ; x1 = 7 , m = -2
y - 7 = -2(x - 2)
y - 7 = -2x -2*(-2)
y -7 = -2x + 4
y = -2x + 4 + 7
y = -2x + 11
I have no clue how to do this please help-
Answer:
x= 2
Step-by-step explanation:
x+1/2= 21/14 cross multiply
14(x+1)= 2(×21)
14x+ 14= 42
14x= 42-14
14x= 28
x= 28/14
x= 2
A physical trainer has four workouts that he recommends for his clients. The workouts have been designed so that the average maximum heart rate achieved is the same for each workout. To test this design he randomly selects twenty people and randomly assigns five of them to use each of the workouts. During each workout, he measures the maximum heart rate in beats per minute with the following results.
Maximum Heart Rates (Beats per Minute)
Workout #1 Workout #2 Workout #3 Workout #4
172 184 178 170
182 169 166 194
179 185 160 196
154 165 174 192
155 178 179 182
Requird:
a. Can the physical trainer conclude that there is a difference among the average maximum heart rates which are achieved during the four workouts?
b. Find the value of the test statistic to test for a difference between the workouts.
Solution :
ANOVA : Single factor
Groups [tex]$\text{count}$[/tex] [tex]$\text{Sum}$[/tex] [tex]$\text{Average}$[/tex] [tex]$\text{Variance}$[/tex]
Workout 1 5 842 168.4 174.3
Workout 2 5 881 176.2 79.7
Workout 3 5 857 171.4 66.8
Workout 4 5 934 186.8 117.2
ANNOVA
Source of Variance SS df MS F P-value F crit
Between groups 976.2 3 325.4 2.971689 0.063098 3.238872
Within groups 1752 16 109.5
Total 2728.2 19
The null hypothesis is : [tex]$u_1=u_2=u_3=u_4$[/tex]
Alternative hypothesis : At least one of the [tex]$u$[/tex] is not equal.
The significance level = 0.05
Analyzing the sample data:
F statistics is given by :
[tex]$F=\frac{MSB}{MSE}$[/tex]
= 2.97
[tex]$F_{critical}=3.24$[/tex]
The P-value= 0.06
The result : Since the P-value of 0.06 is greater than the significance level (0.05), hence we fail to reject the null hypothesis.
So we cannot conclude that there is no difference between the average maximum heart rates that are achieved during the four workouts.
I need this ASAP please thank you
I will gove brainlist ..The line graph shows the amount of water loss in a leaking tank during 7 hours.The owner pays $1for every 8 liters of water lost.How much will he have to pay after 2 hours
Answer:
The owner will have to pay $ 125 after 2 hours.
Step-by-step explanation:
Given that the line graph shows the amount of water loss in a leaking tank during 7 hours, and the owner pays $ 1 for every 8 liters of water lost, to determine how much will he have to pay after 2 hours the following calculation must be performed :
((6000 - 5000) / 8) x 1 = X
(1000/8) x 1 = X
125 x 1 = X
125 = X
Therefore, the owner will have to pay $ 125 after 2 hours.
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
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
which of the following best describes a cone
What is the area of the triangle?
show me process
Answer:
area = 30
Step-by-step explanation:
You would want to use the formula for a right triangle to find the area.
Right triangle formula = a * b/ 2 will give you the area.
So, 5*12 = 60, 60/2 = 30.
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.
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
Determine the values of the following quantities. (Round your answers to three decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) t0.10, 18 1.735 Incorrect: Your answer is incorrect. (b) t0.05, 18 2.101 Incorrect: Your answer is incorrect. (c) t0.05, 23 1.714 Correct: Your answer is correct. (d) t0.05, 60 1.671 Correct: Your answer is correct. (e) t0.005, 60 2.915 Incorrect: Your answer is incorrect.
Answer:
1.330391 ; 1.734064 ; 1.713872 ; 1.670649 ;
Step-by-step explanation:
a) t0.10, 18
α = 0.10 ; df = 18
From table, critical value = 1.330
(b) t0.05, 18
α = 0.05 ; df = 18
From table, critical value = 1.734
(c) t0.05, 23
α = 0.05 ; df = 23
From table, critical value = 1.714
(d) t0.05, 60
α = 0.05 ; df = 60
From table, critical value = 1.671
(e) t0.005, 60
α = 0.05 ; df = 60
From table, critical value = 2.660
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]
The price of a technology stock has risen to $9.82 today. Yesterday's price was $9.71. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
9.71 ÷ 9.82 = .9987 or 1% .
The percentage increase is 1.1% to the nearest tenth
The calculation can be done as follows
Original price= $9.82
increase= $9.71
Change in price= 9.82-9.71
= 0.11
percent increase= 0.11/9.82 × 100
= 1.12
= 1.1 (to the nearest tenth)
Hence the percent increase is 1.1%
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PLEASE ANWER FAST!!!!! 100 x 6302= THANKS!!!!!!!!!!
Answer:
630,200
just add the zeros smarty
Answer:630,200
Step-by-step explanation:
6302x100 is just adding the two zeros from 100 to 6302
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!!
Find the value of x in the triangle shown below.
Answer:
X=37
Step-by-step explanation:
180-45-98=37
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.
TIMED PLS HELP ME WILL GIVE BRAINLEIST
Answer: i think a nd c
Step-by-step explanation:
(a) Find the distance between (1, 4) and (-2,3)
(b) Find the distance between (-2, 9) and (-8, -3)
(c) Find the distance between (-6, 1) and (3, 1)
Answer:
Subscirbe to me my Youtub.e is Justinsucks172
Step-by-step explanation:
Y=x^2+4x+6 find the domain and range
Domain:(−∞,∞),{x|x∈R}
Range:[2,∞),{y|y≥2}
The Domain is {1, 2, 3, 4} and the range is { 11, 18, 27, 38}
What is Domain and Range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
Y=x^2+4x+6
As, we know that domain is the input value and range is the output value.
Then, x = 1
y = 1 + 4 +6
y= 11
and, x= 2
Y = 4 + 8 +6
Y = 18
and, x= 3
Y = 9 + 12 + 6
Y = 27
and, x = 4
Y = 16 + 16 + 6
Y = 38
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A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the car?
Answer:
65 percent
Step-by-step explanation:
The solution is 65 %
The percentage of people who were satisfied with the car is 65 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the percentage of people who were satisfied with the car be = P
Now , the number of people who were satisfied with the car = 1625
The number of people who were somewhat satisfied with car = 665
The number of people who were not satisfied with the car = 210
The total number of people surveyed = number of people who were satisfied + number of people who were somewhat satisfied + number of people who were not satisfied
Substituting the values in the equation , we get
The total number of people surveyed = 1625 + 665 + 210
The total number of people surveyed = 2500 people
So , the percentage of people who were satisfied with car P = number of people who were satisfied with the car / total number of people surveyed
Substituting the values in the equation , we get
Percentage of people who were satisfied with car P = ( 1625 / 2500 ) x 100
Percentage of people who were satisfied with car P = 0.65 x 100
Percentage of people who were satisfied with car P = 65 %
Therefore , the value of P is 65 %
Hence , the percentage is 65 %
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Plz help I want to ace this
Answer:
B
Step-by-step explanation:
You multiply the 3 numbers.
Two angles are supplementary. The larger angle is 56° more than the smaller angle. Find the measures of both angles in degrees.
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.
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Find the new amount of the original amount is 45 grams and the percent of decrease is 36%.
Pleaseee answer
Answer:
28.8
Step-by-step explanation:
the original is 45=100%
it reduced by 36% meaning;100%-36%=64%
if45=100%
? =64%
45*64=2880/100=28.8
A bus is traveling at a constant speed. If the bus travels 15 1/2 miles in 1/3
of an hour, how many miles will the bus travel in one hour?
Answer:
46.5
Step-by-step explanation:
Find the value of x in the triangle shown below 6 2
The value of x in the stated triangle is 6.32 based on given dimensions.
The stated triangle is right angled triangle and hence will follow Pythagoras theorem. The calculation will be done using the Pythagoras formula as stated -
Perpendicular² = Base² + Height²
Keep the values in formula to find the value of x
x² = 2² + 6²
Taking square on the Right Hand Side of the equation
x² = 4 + 36
Add the digits on Right Hand Side of the equation
x² = 40
x = ✓40
Taking square root
x = 6.32
Hence, the length of x is 6.32.
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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