Answer:
11.68ft or 11.68 feet
Step-by-step explanation:
From the above question, we are told that:
Area of the square and the Area semicircle is to be 190 ft squared.
We are also told in the question that:
The window has the shape of a square with a semicircle mounted on it.
Hence, the Diameter of the semicircle = Width of the Square
Let the Width of the square = x
Area of a square = Width²
= x²
Let the Diameter of the semi circle = x
Radius of the semi circle = Diameter of the semi circle/2 = x/2
Area of a semicircle = πr²/2
Area of a the semi Circle = π ×(x/2)² /2
= (πx²/4)/2
= πx²/8
Therefore,
Area of a square + Area of a semicircle = 190ft²
= x² + πx²/8 = 190
Cross Multiply
x² + πx² = 190
= x² ( 1 + π/8) = 190
x² = (190)/(1 + π/8)
x² = 136.42573798
x = √136.42573798
x = 11.680142892ft
Approximately x ≈ 11.68ft
Therefore, the width of the window = 11.68ft
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Answer:
change f(x) to y, switch x and y, and solve for y
y = √(x -4)
x = √(y - 4)
x² = y - 4
x² + 4 = y
y = x² + 4
f⁽⁻¹⁾ = x² + 4, where x ≥ 4
An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks, d, was 117ft. Use the formula s=24d−−−√ to find s, the speed of the vehicle before the brakes were applied. Round your answer to the nearest tenth.
Answer:
The speed is 2808 ft/sStep-by-step explanation:
step one:
In this problem we are expected to substitute the value of d in the expression for velocity given as
[tex]s=24d[/tex]
step two:
Given that
d= 117 ft
Substituting the value for d in the given equation we have
[tex]s= 24*117\\\\s=2808 ft/s[/tex]
The problem basically tests our ability to perform basic substitution operation which we have performed, should you have any question or doubt, kindly respond to this question
Answer:
53
Step-by-step explanation:
Suppose a horticulturist measures the aboveground height growth rate of four different ornamental shrub species grown in a greenhouse. The shrubs were grown from a random sample of seeds, and they were all grown in the same soil mixture and in the same size pot. To ensure that any slight differences in the environmental conditions throughout the greenhouse are not confounded with species, she randomizes the location of the pots throughout the greenhouse. The table contains a summary of her data. Population Sample Sample Sample Population description size standard deviation 17.153 cm/year 2.666 cm/year x2 = 13.983 cm/year s2-3.605 cm/year 15.120 cm/year3 3.774 cm/year x4-14.328 cm/year s.-3.011cm/year mean 1 Species 1 n1-20 Species 2 n2=20 3 Species 3 n 20 Species 4 n4-20 The growth rate distributions of each sample are approximately normal, and the data do not contain outliers. The horticulturist uses a one-way analysis of variance (ANOVA) at a significance level of a 0.05 to test if the mean growth rates of all four species are equal. Her results are shown in the table. Source of variation Between groups Within groups Total ss MS p-valuef-critical 120.988 3 40.329 3.7160.0152.725 824.710 76 10851 945.697 79Complete the sentence to state the decision and conclusion of horticulturist test.The decision is to ________the ___________at a significant level of________ α=0.05 There is _______ evidence to conclude that __________ is__________.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The decision is to reject the null hypothesis at a significant level of significance [tex]\alpha = 0.05[/tex] There is sufficient evidence to conclude that at least one of the population mean is different from at least of the population
Step-by-step explanation:
From the question we are told that the claim is
The mean growth rates of all four species are equal.
The null hypothesis is
[tex]H_o : \mu _1 = \mu_2 = \mu_3 = \mu_4[/tex]
Th alternative hypothesis is
[tex]H_a: at \ least \ one \ of \ the \ means \ is \not\ equal[/tex]
From question the p-value is [tex]p-value = 0.015[/tex]
And since the [tex]p-value < \alpha[/tex] so the null hypothesis will be rejected
So
The decision is to reject the null hypothesis at a significant level of significance [tex]\alpha = 0.05[/tex] There is sufficient evidence to conclude that at least one of the population mean is different from at least of the population
13. – 5x – 10 = 2-2(x – 4)
Answer:
[tex] \boxed{ \boxed{ \bold{ \purple{ - 6.67}}}}[/tex]Step-by-step explanation:
[tex] \sf{ - 5x - 10 = 2 - 2(x - 4)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{ - 5x - 10 = 2 - 2x + 8}[/tex]
Move constant to right hand side and change it's sign
Similarly , Move variable to left hand side and change it's sign
⇒[tex] \sf{ - 5x + 2x = 2 + 8 + 10}[/tex]
Collect like terms
⇒[tex] \sf{ - 3x = 2 + 8 + 10}[/tex]
Add the numbers
⇒[tex] \sf{ - 3x = 20}[/tex]
Divide both sides of the equation by -3
⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{20}{ - 3} }[/tex]
Calculate
⇒[tex] \sf{x = - 6.67}[/tex]
Hope I helped !
best regards!!
Y=x-1 4x+8=y solve the system
CORRECT ANSWER GETS BRAINLIEST!!
Answer:
Step-by-step explanation:
To have Distance proportional to time, the person or object must keep a steady or constant rate like speed.
Let's first look at A runner sprinting in the 100 meter dash, since it tells you nothing about time it goes to not enough information.
Now look at An airplane starting at the end of the runway and taking off, it tells you nothing about time so, not enough information.
Now on to A marathon runner jogging at a constant speed for 45 minutes, this is distance proportional to time, because the runner has a constant rate.
The graph is distance proportional to time because, a straight slanted line indicates a constant speed. If it were curved it would not be constant.
The table with the number is distance not proportional to time because if you find the slopes of (25-5)/(10-5) and (50-25)/(15-10), they are 4 and 5 respectively which means there will not be a straight line on the graph.
Lastly, an airplane traveling at a constant speed across the country is distance directly proportional to time because it has a constant rate which is speed.
For a confidence level of 85%, find the critical value for a normally distributed variable. The sample mean is normally distributed if the population standard deviation is known.
Answer:
The value is [tex]Z_{\alpha } = 1.439[/tex]
Step-by-step explanation:
From the question we are told that
The confidence level is C = 85%
Generally the level of significance is mathematically represented as
[tex]\alpha = (100 - 85 )\%[/tex]
[tex]\alpha = 0.15[/tex]
Now from the normal distribution table the critical value of [tex]\alpha[/tex] is
[tex]Z_{\alpha } = 1.439[/tex]
A box contains 12 balls: 8 red and 4 black. Two extractions are made without replacing the extracted ball to the box before the second extraction. Do you find the probability of drawing a ball of each color?
Answer:
16/33
Step-by-step explanation:
The probability that the first ball is red and the second ball is black is:
8/12 × 4/11 = 8/33
The probability that the first ball is black and the second ball is red is:
4/12 × 8/11 = 8/33
So the total probability of drawing one ball of each color is 8/33 + 8/33 = 16/33.
Someone, please help me with this.
Answer:
14
Step-by-step explanation:
7x-1+6x-1=180
13x-2=180
13x=180+2
13x=182
x=14
Please help ill give brainlest
Answer & Step-by-step explanation:
For this problem, we have to find the equations that have a value of 10 for the variable y. Immediately, we can eliminate some answers. We can eliminate A, D, and E because they all have a different value for the variable y. So, that leaves us with answer choices B and C.
In order to check to see if we are correct, let's plug in 10 for the y in answer choices B and C.
B:
8 = 18 - y
8 = 18 - 10
8 = 8
C:
60 = 6y
60 = 6(10)
60 = 60
So, as you can see, we are correct and we have successfully found the correct answer to the given problem.
Answer:
B and C
Step-by-step explanation:
We want to find the equations where y=10 is a solution. Let's plug 10 into each equation and solve.
A. y+11=22
10 +11 =22
Add 10 and 11.
21 ≠ 22
21 does not equal 22. This choice is incorrect.
B. 8= 18-y
8=18-10
Subtract 10 from 18.
8=8
8 equals 8. This choice is correct.
C. 60=6y
60=6(10)
Multiply 6 and 10.
60=60
60 equals 60. This choice is correct.
D. y/5=4
10/5=4
Divide 10 by 5.
2≠4
2 does not equal 4. This choice is incorrect.
E. 10y=20
10(10)=20
Multiply 10 and 10.
100≠20
100 does not equal 20. This choice is incorrect.
The equations where y=10 is a solution are B. 8=18-y and C. 60=6y
Which number produces ab irrational number when multipled by 4
Answer:
Step-by-step explanation:
Hello, any irrational number multiplied by 4 is an irrational number.
For instance, you can take
[tex]\boxed{\sqrt{2}}[/tex]
Thank you
000KS
c. Sumana runs a tea shop and she buys 7.5L of milk everyday. If she
uses 4.75L of milk in the morning and the remaining milk in the
evening. Find the quantity of milk she uses in the evening
Answer:
2.75 L
Step-by-step explanation:
This is the problem of subtraction.
Total Milk sumana has = 7.5 l
Milk used in the morning = 4.75 L
Milk left for evening = Total Milk sumana has - Milk used in the morning
Milk left for evening = 7.5 l - 4.75 l = 2.75 L
What is 8 3/5 graphed on a number line
PLZ I NEED HELP ASAP CUZ IM ON A TIMER!
Answer:
Step-by-step explanation:
8 3/5 on a number line is between 8 and nine
idk how to draw a number line on a computer so ill just tell you how
1. divided the spaces between 8 and 9 into 5 sections ( 3/5 )
2. then mark 3 of those 5 spaces and put a dot or a line at where the 3rd space ends
simplify 3×+1(2×-1)2-1(6×)
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Answer = [tex]\boxed {x - 2}[/tex]
[tex]3x +1(2x-1)2-1(6x)[/tex]
= [tex]\boxed {3x + 1 . ( 2x - 1 ) . 2 - 1 (6x) = x - 2}[/tex]
Steps :
[tex]3x + 1 . (2x - 1) . 2 - 1 . (6x)[/tex]
Remove the parentheses : [tex](a) = a[/tex]
[tex]= 3x + 1 * (2x- 1) * 2 - 1 * 6x[/tex]
Multiply the numbers : [tex]1 * 2 = 2[/tex]
[tex]= 3x + 2 ( 2x - 1 ) * 6x[/tex]
Multiply the numbers : [tex]1 * 6 = 6[/tex]
[tex]= 3x + 2 ( 2x - 1 ) -6x[/tex]
Expand: [tex]2 (2x - 1) : 4x - 2[/tex]
[tex]2 ( 2x - 1 )[/tex]
Apply the distributive law : [tex]a (b - c) = ab - ac[/tex]
[tex]a = 2, b = 2x, c = 1 \\= 2 * 2x - 2 * 1[/tex]
Simplify [tex]2 * 2x - 2 * 1 : 4x - 2[/tex]
= [tex]= 4x - 2[/tex]
[tex]= 3x + 4x - 2 - 6x[/tex]
Simplify [tex]3x + 4x - 2 - 6x : x - 2[/tex]
= [tex]x - 2[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
The Futurists, a rock group, are planning a concert tour with performances to be
given in five cities: San Francisco, Los Angeles, San Diego, Denver, and Las Vegas.
how many ways can they arrange their itinerary if
a.There are no restrictions?
b.The tree performances in California must be given consecutively?
Answer:
a. 24
b. 12
Step-by-step explanation:
a. You can choose from 4 cities for the first performance, then from 3 cities, then from 2 cities, then the last city.
4 * 3 * 2 * 1 = 24
b. Think of the three performances in California as a unit. Within this unit, you can choose from 3 cities for the first one, then 2 cities for the second one, and finally 1 city for the last one.
3 * 2 * 1 = 6
Now you can have the 3 California performances first, followed by Denver, or Denver first followed by California.
6 * 2 = 12
In a state's Pick 3 lottery game, you pay $1.15 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $258.35. Complete parts (a) through (e).
a. How many different selections are possible?
b. What is the probability of winning? (Type an integer or adecimal.)
c. If you win, what is your net profit? (Type an integer or a decimal.)
d. Find the expected value. $ (Round to the nearest hundredth as needed.)
e. If you bet $ 1.15 in a certain state's Pick 4 game, the expected value is negative −$0.89. Which bet is better, a $1.15 bet in the Pick 3 game or a $ 1.15$ bet in the Pick 4 game?
Explain.
A. Neither bet is better because both games have the same expected value.
B. The Pick 4 game is a better bet because it has a larger expected value.
C. The Pick 3 game is a better bet because it has a larger expected value.
Answer:
A) 1000 different selections
B) probability of winning = 0.001
C) Net profit on winning = $257.20
D) E(y) = -0. 89165
E) Option B - The Pick 4 game is a better bet because it has a larger expected value.
Step-by-step explanation:
A) For the different selections possible, since each of the digits from 0 - 9 can take a total of 10 digits, then the different selections possible will be = 10³ = 1000 different selections
B) To find the probability of winning, since only one pick can be a winning one. Thus probability of winning = 1/1000 = 0.001
C) Net profit on winning = Amount won - Amount staked
Amount won = $258.35
Amount staked = $1.15
Thus;
Net profit on winning = $258.35 - $1.15
Net profit on winning = $257.20
D) If we call the net profit "y", then Expected value is:
E(y) = 257.2(0.001) - 1.15(1 - 0.001)
E(y) = 0.2572 - 1.14885
E(y) = -0. 89165
E) We are told that:If you bet $ 1.15 in a certain state's Pick 4 game, the expected value is negative −$0.89
The expected value of -0.89 in pick 4 is better than that in pick 3 because it's larger.
Simplify the expression:
(10x2 -1 + 4x) + (3 + 5x2 - 4x)
Answer:
[tex] \boxed{\sf 15x^2 + 2} [/tex]
Step-by-step explanation:
Simplify the expression:
[tex] \sf \implies(10 {x}^{2} - 1 + 4x) + (3 + 5 {x}^{2} - 4x)[/tex]
Grouping like terms, 10x² + 5x² + 4 x - 4 x - 1 + 3 = (10 x² + 5x²) + (4 x - 4 x) + (-1 + 3):
[tex] \sf \implies (10 x^2 + 5 x^2) + (4 x - 4 x) + (-1 + 3)[/tex]
10x² + 5x² = 15x²:
[tex] \sf \implies 15 x^2 + (4 x - 4 x) + (-1 + 3)[/tex]
3 - 1 = 2:
[tex] \sf \implies 15 x^2 + (4 x - 4 x) + 2[/tex]
4 x - 4 x = 0:
[tex] \sf \implies 15 x^2 + 2[/tex]
If 4x— 3 = 2x + 9, then x = ?
x=6
x=2
x=1
x=3
Answer:
x=6 is the answer
Step-by-step explanation:
4x-3=2x+9
adding 3 on both sides
4x-3+3=2x+9+3
4x=2x+12
subtracting 2x on both sides
4x-2x=2x-2x+12
2x=12
dividing 2 on both sides
2x/2=12/2
x=6 is the answer.
hope it will help you :)
Step-by-step explanation:
4x - 3 = 2x + 9
Bringing like terms on one side
4x - 2x = 9 + 3
2x = 12
x = 12/ 2
x = 6
Keith has 39 books in his library. He bought several books at a yard sale over the weekend. He now has 84 books in his library. How many books did he buy at the yard sale ?
Answer:
total books in library = 39
books bought from yard sale = ??
Total book in library now = 84
Now,
books bought from yard sale= 39-84
= 45
metric conversions, which is bigger
Answer: 6 m is greater
Step-by-step explanation:
Cm is less than m
Hope it helps
Answer:
25. <
26. <
27. >
28. <
29. <
30. >
Hope it helps!
lovelymoonlight ✨
Using the number 98,045,132.706
(a) The digit 8 is in the
place.
(b) The digit 3 is in the
place.
Answer:
A. The digit 8 is in the place one million position
B. The digit 3 is in the place tens position
Step-by-step explanation:
Given:
98,045,132.706
9 is in the ten million position
8 is in the one million position
0 is in the hundred-thousand position
4 is in the ten-thousand position
5 is in the one-thousand position
1 is in the hundred position
3 is in the tens position
2 is in the one position
. Decimal
7 is in the tenth position
0 is in the hundredth position
6 is in the thousandth position
Therefore,
A. The digit 8 is in the place one million position
B. The digit 3 is in the place tens position
I NEED HELP PLEASE
name each angle in as many different ways as possible
========================================
Explanation:
To name an angle, we list 3 points on the angle such that the middle point is the vertex of the angle. The vertex is where the two rays are joined (at the endpoints).
So we could say "angle JLG" as you wrote in the first box, or we could say "angle GLJ". This is the same because L is in the middle each time. So the order doesn't matter as long as L is in the middle.
The third way to name this angle is to say "angle 2" or [tex]\angle 2[/tex] for short.
Another way to write this angle is to name it by the vertex point alone.
----------------------
Note: In this case, saying "angle L" is enough info to be able to pinpoint the proper angle. Though in general this naming convention is very limited. If we had other rays attached to point L (say ray LH where point H is not on any of the two rays shown), then writing "angle L" is ambiguous. So keep this in mind.
If lim f (x) x →5 = 2 and lim g (x) x → 5= -6 which of these limits exist?
Answer:
E
Step-by-step explanation:
So we already know that:
[tex]\lim_{x \to 5} f(x)=2 \text{ and } \lim_{x \to 5} g(x)=-6[/tex]
So, go through each of the choices and see which ones are correct.
I)
We have:
[tex]\lim_{x \to 5} (f(x)+g(x))[/tex]
This is the same as saying:
[tex]\lim_{x \to 5} f(x)+ \lim_{x \to 5} g(x)[/tex]
And since we already know the values:
[tex]=(2)+(-6)\\=-4[/tex]
So, the limit does indeed exist.
II)
We have:
[tex]\lim_{x \to 5} \frac{f(x)}{g(x)+6}[/tex]
This is the same as:
[tex]\frac{ \lim_{x \to 5} f(x)}{ \lim_{x \to 5} g(x)+ \lim_{x \to 5} 6 }[/tex]
The bottom right one is just 6. Simplify:
[tex]\frac{ \lim_{x \to 5} f(x)}{ \lim_{x \to 5} g(x)+6}[/tex]
Substitute the values we know:
[tex]=\frac{(2)}{(-6)+6} \\=2/0[/tex]
This is a value over zero. Unlike the indeterminate form 0/0, this limit does not exist.
III)
We have:
[tex]\lim_{x \to 5} \frac{f(x)-2}{g(x)}[/tex]
Again, this is the same as:
[tex]\frac{ (\lim_{x \to 5} f(x))-2}{ \lim_{x \to 5} g(x)}[/tex]
Substitute in the values we know:
[tex]=\frac{(2)-2}{(-6)}\\ =0/-6=0[/tex]
The limit does exist and it is 0.
So, the limits of only I and III exist.
The correct answer is E.
if you have 400 starting in the bank you deposit 250. withdraw 500 withdraw 100
Answer:
Hey there!
You have 50 dollars left.
400+250-500-100=50
Let me know if this helps :)
What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?
Answer:
y = 9
Step-by-step explanation:
So if x = 3, we can sub that into the equation.
This gives us:
6.4 (* 3) + 2.8y = 44.4
so:
19.2 + 2.8y = 44.4
25.2 = 2.8y
so
y = 9
Answer: 9
Step-by-step explanation: plug 3 into the x, then use the order of operations/ pemdas to solve. first multiply 6.4 and 3 (=19.2) then subtract the answer from 44.4 (now the equation is 2.8y=25.2) then divide 2.8 from 25.2 to get x alone and you are left with x=9
please help me /:
Given the table of values below, which of the following ordered pairs are
found on the graph of the inverse function?
Answer:
see below
Step-by-step explanation:
The ordered pairs of the inverse function are the reverse of the ordered pairs of the function.
You are given the function has ordered pairs (-3, -2), (3, -1) and so on. The inverse function will have ordered pairs (-2, -3), (-1, 3), and so on. This matches choice A.
h E l P HELP
(you don’t gotta show your work by the way)
Answer/Step-by-step explanation:
1. Converting 16 in to cm:
1 in = 2.54 cm
16 in = 16*2.54 = 40.64 cm
2. Converting 345lbs to kg:
1 lbs = 0.4536 kg
345 lbs = 345*0.4536 = 156.492 ≈ 156.49 kg(nearest hundredth)
3. Converting 56 g to oz:
1 g = 0.0353 oz
56 g = 56*0.0353 = 1.9768 ≈ 1.98 oz (nearest hundredth)
4. Converting 450 km to mi:
1 km = 0.6214 mi
450 km = 450*0.6214 = 279.63 mi
5. Converting 1200 ml to fl oz
1 ml = 0.0338 fl oz
1200 ml = 1200*0.0338 = 40.56 fl oz
6. Converting 40 m to ft:
1 m = 3.2808 ft
40 m = 40*3.2808 = 131.23 ft (nearest hundredth)
7. Converting 4 gal to l:
1 gal = 3.785 l
4 gal = 4*3.785 = 15.14 l
8. Converting 12 fl oz to ml:
1 fl oz = 29.575 ml
12 fl oz = 12*29.575 = 354.9 ml
9. Converting 50kg to lbs:
1 kg = 2.2046 lbs
50kg = 50*2.2046 = 110.23 lbs
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation?
r=0.864
a) Calculate the coefficient of determination.
(Round to three decimal places as needed.)
b) What does this tell you about the explained variation of the data about the regression line?
c) What % of the variation can be explained by the regression line.
(Round to one decimal place as needed.)
About the unexplained variation?
d) What % of the variation is unexplained and is due to other factors or to sampling error.
(Round to one decimal place as needed.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given the Coefficient of correlation (r) = 0.864
The Coefficient of determination (R^2) :
0.864^2 = 0.747 ( 3 decimal places)
B) the Coefficient of determinationR^2 tells about the proportion of variation in the dependent variable that is predicted by the independent variable, Hence, a proportion of about 0.75 should fall within the regression line.
C) percentage variation explained :
Coefficient of determination * 100%
0.747 * 100% = 74.7%
D) unexplained variation due to other factors or sampling error :
(total variation - explained variation) = (100 - 74.7)% = 25.3%
what is the greatest common factor of 60 , 8
Answer:
4
Step-by-step explanation:
The factors of 8 are 1, 2, 4, and 8.
60 is not divisible by 8, but it is divisible by 4: 4 * 15 = 60. So the GCF of 60 and 8 is 4.
7 1/8 + 1/6, reduced to lowest terms
Answer:
Step-by-step explanation:
7 3/24 + 4/24
7 7/24